| 1 | MODULE advec_ws |
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| 2 | |
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| 3 | !-----------------------------------------------------------------------------! |
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| 4 | ! Current revisions: |
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| 5 | ! ------------------ |
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| 6 | ! |
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| 7 | ! Former revisions: |
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| 8 | ! ----------------- |
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| 9 | ! $Id: advec_ws.f90 889 2012-04-20 15:06:33Z suehring $ |
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| 10 | ! |
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| 11 | ! 888 2012-04-20 15:03:46Z suehring |
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| 12 | ! Number of IBITS() calls with identical arguments is reduced. |
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| 13 | ! |
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| 14 | ! 862 2012-03-26 14:21:38Z suehring |
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| 15 | ! ws-scheme also work with topography in combination with vector version. |
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| 16 | ! ws-scheme also work with outflow boundaries in combination with |
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| 17 | ! vector version. |
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| 18 | ! Degradation of the applied order of scheme is now steered by multiplying with |
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| 19 | ! Integer wall_flags_0. 2nd order scheme, WS3 and WS5 are calculated on each |
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| 20 | ! grid point and mulitplied with the appropriate flag. |
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| 21 | ! 2nd order numerical dissipation term changed. Now the appropriate 2nd order |
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| 22 | ! term derived according to the 4th and 6th order terms is applied. It turns |
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| 23 | ! out that diss_2nd does not provide sufficient dissipation near walls. |
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| 24 | ! Therefore, the function diss_2nd is removed. |
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| 25 | ! Near walls a divergence correction is necessary to overcome numerical |
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| 26 | ! instabilities due to too less divergence reduction of the velocity field. |
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| 27 | ! boundary_flags and logicals steering the degradation are removed. |
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| 28 | ! Empty SUBROUTINE local_diss removed. |
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| 29 | ! Further formatting adjustments. |
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| 30 | ! |
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| 31 | ! 801 2012-01-10 17:30:36Z suehring |
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| 32 | ! Bugfix concerning OpenMP parallelization. Summation of sums_wsus_ws_l, |
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| 33 | ! sums_wsvs_ws_l, sums_us2_ws_l, sums_vs2_ws_l, sums_ws2_ws_l, sums_wspts_ws_l, |
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| 34 | ! sums_wsqs_ws_l, sums_wssas_ws_l is now thread-safe by adding an additional |
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| 35 | ! dimension. |
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| 36 | ! |
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| 37 | ! 743 2011-08-18 16:10:16Z suehring |
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| 38 | ! Evaluation of turbulent fluxes with WS-scheme only for the whole model |
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| 39 | ! domain. Therefor dimension of arrays needed for statistical evaluation |
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| 40 | ! decreased. |
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| 41 | ! |
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| 42 | ! 736 2011-08-17 14:13:26Z suehring |
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| 43 | ! Bugfix concerning OpenMP parallelization. i_omp introduced, because first |
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| 44 | ! index where fluxes on left side have to be calculated explicitly is |
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| 45 | ! different on each thread. Furthermore the swapping of fluxes is now |
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| 46 | ! thread-safe by adding an additional dimension. |
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| 47 | ! |
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| 48 | ! 713 2011-03-30 14:21:21Z suehring |
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| 49 | ! File reformatted. |
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| 50 | ! Bugfix in vertical advection of w concerning the optimized version for |
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| 51 | ! vector architecture. |
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| 52 | ! Constants adv_mom_3, adv_mom_5, adv_sca_5, adv_sca_3 reformulated as |
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| 53 | ! broken numbers. |
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| 54 | ! |
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| 55 | ! 709 2011-03-30 09:31:40Z raasch |
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| 56 | ! formatting adjustments |
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| 57 | ! |
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| 58 | ! 705 2011-03-25 11:21:43 Z suehring $ |
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| 59 | ! Bugfix in declaration of logicals concerning outflow boundaries. |
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| 60 | ! |
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| 61 | ! 411 2009-12-11 12:31:43 Z suehring |
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| 62 | ! Allocation of weight_substep moved to init_3d_model. |
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| 63 | ! Declaration of ws_scheme_sca and ws_scheme_mom moved to check_parameters. |
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| 64 | ! Setting bc for the horizontal velocity variances added (moved from |
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| 65 | ! flow_statistics). |
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| 66 | ! |
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| 67 | ! Initial revision |
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| 68 | ! |
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| 69 | ! 411 2009-12-11 12:31:43 Z suehring |
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| 70 | ! |
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| 71 | ! Description: |
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| 72 | ! ------------ |
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| 73 | ! Advection scheme for scalars and momentum using the flux formulation of |
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| 74 | ! Wicker and Skamarock 5th order. Additionally the module contains of a |
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| 75 | ! routine using for initialisation and steering of the statical evaluation. |
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| 76 | ! The computation of turbulent fluxes takes place inside the advection |
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| 77 | ! routines. |
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| 78 | ! Near non-cyclic boundaries the order of the applied advection scheme is |
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| 79 | ! degraded. |
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| 80 | ! A divergence correction is applied. It is necessary for topography, since |
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| 81 | ! the divergence is not sufficiently reduced, resulting in erroneous fluxes and |
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| 82 | ! partly numerical instabilities. |
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| 83 | !-----------------------------------------------------------------------------! |
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| 84 | |
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| 85 | PRIVATE |
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| 86 | PUBLIC advec_s_ws, advec_u_ws, advec_v_ws, advec_w_ws, & |
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| 87 | ws_init, ws_statistics |
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| 88 | |
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| 89 | INTERFACE ws_init |
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| 90 | MODULE PROCEDURE ws_init |
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| 91 | END INTERFACE ws_init |
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| 92 | |
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| 93 | INTERFACE ws_statistics |
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| 94 | MODULE PROCEDURE ws_statistics |
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| 95 | END INTERFACE ws_statistics |
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| 96 | |
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| 97 | INTERFACE advec_s_ws |
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| 98 | MODULE PROCEDURE advec_s_ws |
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| 99 | MODULE PROCEDURE advec_s_ws_ij |
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| 100 | END INTERFACE advec_s_ws |
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| 101 | |
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| 102 | INTERFACE advec_u_ws |
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| 103 | MODULE PROCEDURE advec_u_ws |
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| 104 | MODULE PROCEDURE advec_u_ws_ij |
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| 105 | END INTERFACE advec_u_ws |
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| 106 | |
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| 107 | INTERFACE advec_v_ws |
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| 108 | MODULE PROCEDURE advec_v_ws |
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| 109 | MODULE PROCEDURE advec_v_ws_ij |
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| 110 | END INTERFACE advec_v_ws |
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| 111 | |
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| 112 | INTERFACE advec_w_ws |
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| 113 | MODULE PROCEDURE advec_w_ws |
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| 114 | MODULE PROCEDURE advec_w_ws_ij |
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| 115 | END INTERFACE advec_w_ws |
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| 116 | |
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| 117 | CONTAINS |
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| 118 | |
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| 119 | |
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| 120 | !------------------------------------------------------------------------------! |
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| 121 | ! Initialization of WS-scheme |
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| 122 | !------------------------------------------------------------------------------! |
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| 123 | SUBROUTINE ws_init |
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| 124 | |
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| 125 | USE arrays_3d |
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| 126 | USE constants |
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| 127 | USE control_parameters |
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| 128 | USE indices |
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| 129 | USE pegrid |
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| 130 | USE statistics |
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| 131 | |
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| 132 | ! |
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| 133 | !-- Set the appropriate factors for scalar and momentum advection. |
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| 134 | adv_sca_5 = 1./60. |
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| 135 | adv_sca_3 = 1./12. |
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| 136 | adv_sca_1 = 1./2. |
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| 137 | adv_mom_5 = 1./120. |
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| 138 | adv_mom_3 = 1./24. |
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| 139 | adv_mom_1 = 1./4. |
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| 140 | ! |
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| 141 | !-- Arrays needed for statical evaluation of fluxes. |
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| 142 | IF ( ws_scheme_mom ) THEN |
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| 143 | |
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| 144 | ALLOCATE( sums_wsus_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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| 145 | sums_wsvs_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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| 146 | sums_us2_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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| 147 | sums_vs2_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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| 148 | sums_ws2_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 149 | |
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| 150 | sums_wsus_ws_l = 0.0 |
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| 151 | sums_wsvs_ws_l = 0.0 |
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| 152 | sums_us2_ws_l = 0.0 |
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| 153 | sums_vs2_ws_l = 0.0 |
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| 154 | sums_ws2_ws_l = 0.0 |
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| 155 | |
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| 156 | ENDIF |
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| 157 | |
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| 158 | IF ( ws_scheme_sca ) THEN |
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| 159 | |
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| 160 | ALLOCATE( sums_wspts_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 161 | sums_wspts_ws_l = 0.0 |
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| 162 | |
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| 163 | IF ( humidity .OR. passive_scalar ) THEN |
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| 164 | ALLOCATE( sums_wsqs_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 165 | sums_wsqs_ws_l = 0.0 |
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| 166 | ENDIF |
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| 167 | |
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| 168 | IF ( ocean ) THEN |
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| 169 | ALLOCATE( sums_wssas_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 170 | sums_wssas_ws_l = 0.0 |
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| 171 | ENDIF |
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| 172 | |
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| 173 | ENDIF |
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| 174 | |
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| 175 | ! |
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| 176 | !-- Arrays needed for reasons of speed optimization for cache and noopt |
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| 177 | !-- version. For the vector version the buffer arrays are not necessary, |
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| 178 | !-- because the the fluxes can swapped directly inside the loops of the |
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| 179 | !-- advection routines. |
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| 180 | IF ( loop_optimization /= 'vector' ) THEN |
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| 181 | |
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| 182 | IF ( ws_scheme_mom ) THEN |
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| 183 | |
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| 184 | ALLOCATE( flux_s_u(nzb+1:nzt,0:threads_per_task-1), & |
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| 185 | flux_s_v(nzb+1:nzt,0:threads_per_task-1), & |
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| 186 | flux_s_w(nzb+1:nzt,0:threads_per_task-1), & |
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| 187 | diss_s_u(nzb+1:nzt,0:threads_per_task-1), & |
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| 188 | diss_s_v(nzb+1:nzt,0:threads_per_task-1), & |
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| 189 | diss_s_w(nzb+1:nzt,0:threads_per_task-1) ) |
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| 190 | ALLOCATE( flux_l_u(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 191 | flux_l_v(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 192 | flux_l_w(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 193 | diss_l_u(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 194 | diss_l_v(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 195 | diss_l_w(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
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| 196 | |
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| 197 | ENDIF |
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| 198 | |
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| 199 | IF ( ws_scheme_sca ) THEN |
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| 200 | |
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| 201 | ALLOCATE( flux_s_pt(nzb+1:nzt,0:threads_per_task-1), & |
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| 202 | flux_s_e(nzb+1:nzt,0:threads_per_task-1), & |
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| 203 | diss_s_pt(nzb+1:nzt,0:threads_per_task-1), & |
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| 204 | diss_s_e(nzb+1:nzt,0:threads_per_task-1) ) |
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| 205 | ALLOCATE( flux_l_pt(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 206 | flux_l_e(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 207 | diss_l_pt(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 208 | diss_l_e(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
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| 209 | |
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| 210 | IF ( humidity .OR. passive_scalar ) THEN |
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| 211 | ALLOCATE( flux_s_q(nzb+1:nzt,0:threads_per_task-1), & |
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| 212 | diss_s_q(nzb+1:nzt,0:threads_per_task-1) ) |
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| 213 | ALLOCATE( flux_l_q(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 214 | diss_l_q(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
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| 215 | ENDIF |
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| 216 | |
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| 217 | IF ( ocean ) THEN |
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| 218 | ALLOCATE( flux_s_sa(nzb+1:nzt,0:threads_per_task-1), & |
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| 219 | diss_s_sa(nzb+1:nzt,0:threads_per_task-1) ) |
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| 220 | ALLOCATE( flux_l_sa(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 221 | diss_l_sa(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
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| 222 | ENDIF |
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| 223 | |
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| 224 | ENDIF |
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| 225 | |
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| 226 | ENDIF |
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| 227 | |
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| 228 | END SUBROUTINE ws_init |
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| 229 | |
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| 230 | |
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| 231 | !------------------------------------------------------------------------------! |
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| 232 | ! Initialize variables used for storing statistic qauntities (fluxes, variances) |
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| 233 | !------------------------------------------------------------------------------! |
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| 234 | SUBROUTINE ws_statistics |
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| 235 | |
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| 236 | USE control_parameters |
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| 237 | USE statistics |
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| 238 | |
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| 239 | IMPLICIT NONE |
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| 240 | |
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| 241 | ! |
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| 242 | !-- The arrays needed for statistical evaluation are set to to 0 at the |
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| 243 | !-- beginning of prognostic_equations. |
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| 244 | IF ( ws_scheme_mom ) THEN |
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| 245 | sums_wsus_ws_l = 0.0 |
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| 246 | sums_wsvs_ws_l = 0.0 |
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| 247 | sums_us2_ws_l = 0.0 |
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| 248 | sums_vs2_ws_l = 0.0 |
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| 249 | sums_ws2_ws_l = 0.0 |
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| 250 | ENDIF |
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| 251 | |
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| 252 | IF ( ws_scheme_sca ) THEN |
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| 253 | sums_wspts_ws_l = 0.0 |
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| 254 | IF ( humidity .OR. passive_scalar ) sums_wsqs_ws_l = 0.0 |
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| 255 | IF ( ocean ) sums_wssas_ws_l = 0.0 |
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| 256 | |
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| 257 | ENDIF |
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| 258 | |
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| 259 | END SUBROUTINE ws_statistics |
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| 260 | |
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| 261 | |
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| 262 | !------------------------------------------------------------------------------! |
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| 263 | ! Scalar advection - Call for grid point i,j |
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| 264 | !------------------------------------------------------------------------------! |
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| 265 | SUBROUTINE advec_s_ws_ij( i, j, sk, sk_char,swap_flux_y_local, & |
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| 266 | swap_diss_y_local, swap_flux_x_local, & |
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| 267 | swap_diss_x_local, i_omp, tn ) |
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| 268 | |
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| 269 | USE arrays_3d |
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| 270 | USE constants |
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| 271 | USE control_parameters |
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| 272 | USE grid_variables |
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| 273 | USE indices |
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| 274 | USE pegrid |
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| 275 | USE statistics |
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| 276 | |
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| 277 | IMPLICIT NONE |
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| 278 | |
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| 279 | INTEGER :: i, ibit0, ibit1, ibit2, ibit3, ibit4, ibit5, ibit6, & |
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| 280 | ibit7, ibit8, i_omp, j, k, k_mm, k_pp, k_ppp, tn |
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| 281 | REAL :: diss_d, div, flux_d, u_comp, v_comp |
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| 282 | REAL, DIMENSION(:,:,:), POINTER :: sk |
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| 283 | REAL, DIMENSION(nzb:nzt+1) :: diss_n, diss_r, diss_t, flux_n, & |
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| 284 | flux_r, flux_t |
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| 285 | REAL, DIMENSION(nzb+1:nzt,0:threads_per_task-1) :: swap_diss_y_local, & |
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| 286 | swap_flux_y_local |
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| 287 | REAL, DIMENSION(nzb+1:nzt,nys:nyn,0:threads_per_task-1) :: & |
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| 288 | swap_diss_x_local, & |
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| 289 | swap_flux_x_local |
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| 290 | CHARACTER (LEN = *), INTENT(IN) :: sk_char |
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| 291 | |
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| 292 | ! |
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| 293 | !-- Compute southside fluxes of the respective PE bounds. |
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| 294 | IF ( j == nys ) THEN |
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| 295 | ! |
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| 296 | !-- Up to the top of the highest topography. |
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| 297 | DO k = nzb+1, nzb_max |
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| 298 | |
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| 299 | ibit5 = IBITS(wall_flags_0(k,j,i),5,1) |
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| 300 | ibit4 = IBITS(wall_flags_0(k,j,i),4,1) |
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| 301 | ibit3 = IBITS(wall_flags_0(k,j,i),3,1) |
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| 302 | |
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| 303 | v_comp = v(k,j,i) - v_gtrans |
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| 304 | swap_flux_y_local(k,tn) = v_comp * ( & |
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| 305 | ( 37.0 * ibit5 * adv_sca_5 & |
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| 306 | + 7.0 * ibit4 * adv_sca_3 & |
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| 307 | + ibit3 * adv_sca_1 & |
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| 308 | ) * & |
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| 309 | ( sk(k,j,i) + sk(k,j-1,i) ) & |
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| 310 | - ( 8.0 * ibit5 * adv_sca_5 & |
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| 311 | + ibit4 * adv_sca_3 & |
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| 312 | ) * & |
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| 313 | ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
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| 314 | + ( ibit5 * adv_sca_5 & |
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| 315 | ) * & |
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| 316 | ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
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| 317 | ) |
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| 318 | |
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| 319 | swap_diss_y_local(k,tn) = -ABS( v_comp ) * ( & |
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| 320 | ( 10.0 * ibit5 * adv_sca_5 & |
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| 321 | + 3.0 * ibit4 * adv_sca_3 & |
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| 322 | + ibit3 * adv_sca_1 & |
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| 323 | ) * & |
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| 324 | ( sk(k,j,i) - sk(k,j-1,i) ) & |
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| 325 | - ( 5.0 * ibit5 * adv_sca_5 & |
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| 326 | + ibit4 * adv_sca_3 & |
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| 327 | ) * & |
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| 328 | ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
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| 329 | + ( ibit5 * adv_sca_5 & |
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| 330 | ) * & |
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| 331 | ( sk(k,j+2,i) - sk(k,j-3,i) ) & |
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| 332 | ) |
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| 333 | |
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| 334 | ENDDO |
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| 335 | ! |
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| 336 | !-- Above to the top of the highest topography. No degradation necessary. |
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| 337 | DO k = nzb_max+1, nzt |
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| 338 | |
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| 339 | v_comp = v(k,j,i) - v_gtrans |
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| 340 | swap_flux_y_local(k,tn) = v_comp * ( & |
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| 341 | 37.0 * ( sk(k,j,i) + sk(k,j-1,i) ) & |
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| 342 | - 8.0 * ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
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| 343 | + ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
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| 344 | ) * adv_sca_5 |
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| 345 | swap_diss_y_local(k,tn) = -ABS( v_comp ) * ( & |
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| 346 | 10.0 * ( sk(k,j,i) - sk(k,j-1,i) ) & |
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| 347 | - 5.0 * ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
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| 348 | + sk(k,j+2,i) - sk(k,j-3,i) & |
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| 349 | ) * adv_sca_5 |
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| 350 | |
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| 351 | ENDDO |
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| 352 | |
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| 353 | ENDIF |
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| 354 | ! |
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| 355 | !-- Compute leftside fluxes of the respective PE bounds. |
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| 356 | IF ( i == i_omp ) THEN |
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| 357 | |
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| 358 | DO k = nzb+1, nzb_max |
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| 359 | |
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| 360 | ibit2 = IBITS(wall_flags_0(k,j,i),2,1) |
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| 361 | ibit1 = IBITS(wall_flags_0(k,j,i),1,1) |
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| 362 | ibit0 = IBITS(wall_flags_0(k,j,i),0,1) |
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| 363 | |
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| 364 | u_comp = u(k,j,i) - u_gtrans |
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| 365 | swap_flux_x_local(k,j,tn) = u_comp * ( & |
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| 366 | ( 37.0 * ibit2 * adv_sca_5 & |
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| 367 | + 7.0 * ibit1 * adv_sca_3 & |
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| 368 | + ibit0 * adv_sca_1 & |
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| 369 | ) * & |
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| 370 | ( sk(k,j,i) + sk(k,j,i-1) ) & |
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| 371 | - ( 8.0 * ibit2 * adv_sca_5 & |
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| 372 | + ibit1 * adv_sca_3 & |
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| 373 | ) * & |
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| 374 | ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
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| 375 | + ( ibit2 * adv_sca_5 & |
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| 376 | ) * & |
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| 377 | ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
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| 378 | ) |
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| 379 | |
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| 380 | swap_diss_x_local(k,j,tn) = -ABS( u_comp ) * ( & |
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| 381 | ( 10.0 * ibit2 * adv_sca_5 & |
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| 382 | + 3.0 * ibit1 * adv_sca_3 & |
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| 383 | + ibit0 * adv_sca_1 & |
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| 384 | ) * & |
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| 385 | ( sk(k,j,i) - sk(k,j,i-1) ) & |
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| 386 | - ( 5.0 * ibit2 * adv_sca_5 & |
|---|
| 387 | + ibit1 * adv_sca_3 & |
|---|
| 388 | ) * & |
|---|
| 389 | ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
|---|
| 390 | + ( ibit2 * adv_sca_5 & |
|---|
| 391 | ) * & |
|---|
| 392 | ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
|---|
| 393 | ) |
|---|
| 394 | |
|---|
| 395 | ENDDO |
|---|
| 396 | |
|---|
| 397 | DO k = nzb_max+1, nzt |
|---|
| 398 | |
|---|
| 399 | u_comp = u(k,j,i) - u_gtrans |
|---|
| 400 | swap_flux_x_local(k,j,tn) = u_comp * ( & |
|---|
| 401 | 37.0 * ( sk(k,j,i) + sk(k,j,i-1) ) & |
|---|
| 402 | - 8.0 * ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
|---|
| 403 | + ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
|---|
| 404 | ) * adv_sca_5 |
|---|
| 405 | |
|---|
| 406 | swap_diss_x_local(k,j,tn) = -ABS( u_comp ) * ( & |
|---|
| 407 | 10.0 * ( sk(k,j,i) - sk(k,j,i-1) ) & |
|---|
| 408 | - 5.0 * ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
|---|
| 409 | + ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
|---|
| 410 | ) * adv_sca_5 |
|---|
| 411 | |
|---|
| 412 | ENDDO |
|---|
| 413 | |
|---|
| 414 | ENDIF |
|---|
| 415 | |
|---|
| 416 | flux_t(0) = 0.0 |
|---|
| 417 | diss_t(0) = 0.0 |
|---|
| 418 | flux_d = 0.0 |
|---|
| 419 | diss_d = 0.0 |
|---|
| 420 | ! |
|---|
| 421 | !-- Now compute the fluxes and tendency terms for the horizontal and |
|---|
| 422 | !-- vertical parts up to the top of the highest topography. |
|---|
| 423 | DO k = nzb+1, nzb_max |
|---|
| 424 | ! |
|---|
| 425 | !-- Note: It is faster to conduct all multiplications explicitly, e.g. |
|---|
| 426 | !-- * adv_sca_5 ... than to determine a factor and multiplicate the |
|---|
| 427 | !-- flux at the end. |
|---|
| 428 | |
|---|
| 429 | ibit2 = IBITS(wall_flags_0(k,j,i),2,1) |
|---|
| 430 | ibit1 = IBITS(wall_flags_0(k,j,i),1,1) |
|---|
| 431 | ibit0 = IBITS(wall_flags_0(k,j,i),0,1) |
|---|
| 432 | |
|---|
| 433 | u_comp = u(k,j,i+1) - u_gtrans |
|---|
| 434 | flux_r(k) = u_comp * ( & |
|---|
| 435 | ( 37.0 * ibit2 * adv_sca_5 & |
|---|
| 436 | + 7.0 * ibit1 * adv_sca_3 & |
|---|
| 437 | + ibit0 * adv_sca_1 & |
|---|
| 438 | ) * & |
|---|
| 439 | ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 440 | - ( 8.0 * ibit2 * adv_sca_5 & |
|---|
| 441 | + ibit1 * adv_sca_3 & |
|---|
| 442 | ) * & |
|---|
| 443 | ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
|---|
| 444 | + ( ibit2 * adv_sca_5 & |
|---|
| 445 | ) * & |
|---|
| 446 | ( sk(k,j,i+3) + sk(k,j,i-2) ) & |
|---|
| 447 | ) |
|---|
| 448 | |
|---|
| 449 | diss_r(k) = -ABS( u_comp ) * ( & |
|---|
| 450 | ( 10.0 * ibit2 * adv_sca_5 & |
|---|
| 451 | + 3.0 * ibit1 * adv_sca_3 & |
|---|
| 452 | + ibit0 * adv_sca_1 & |
|---|
| 453 | ) * & |
|---|
| 454 | ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 455 | - ( 5.0 * ibit2 * adv_sca_5 & |
|---|
| 456 | + ibit1 * adv_sca_3 & |
|---|
| 457 | ) * & |
|---|
| 458 | ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
|---|
| 459 | + ( ibit2 * adv_sca_5 & |
|---|
| 460 | ) * & |
|---|
| 461 | ( sk(k,j,i+3) - sk(k,j,i-2) ) & |
|---|
| 462 | ) |
|---|
| 463 | |
|---|
| 464 | ibit5 = IBITS(wall_flags_0(k,j,i),5,1) |
|---|
| 465 | ibit4 = IBITS(wall_flags_0(k,j,i),4,1) |
|---|
| 466 | ibit3 = IBITS(wall_flags_0(k,j,i),3,1) |
|---|
| 467 | |
|---|
| 468 | v_comp = v(k,j+1,i) - v_gtrans |
|---|
| 469 | flux_n(k) = v_comp * ( & |
|---|
| 470 | ( 37.0 * ibit5 * adv_sca_5 & |
|---|
| 471 | + 7.0 * ibit4 * adv_sca_3 & |
|---|
| 472 | + ibit3 * adv_sca_1 & |
|---|
| 473 | ) * & |
|---|
| 474 | ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 475 | - ( 8.0 * ibit5 * adv_sca_5 & |
|---|
| 476 | + ibit4 * adv_sca_3 & |
|---|
| 477 | ) * & |
|---|
| 478 | ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
|---|
| 479 | + ( ibit5 * adv_sca_5 & |
|---|
| 480 | ) * & |
|---|
| 481 | ( sk(k,j+3,i) + sk(k,j-2,i) ) & |
|---|
| 482 | ) |
|---|
| 483 | |
|---|
| 484 | diss_n(k) = -ABS( v_comp ) * ( & |
|---|
| 485 | ( 10.0 * ibit5 * adv_sca_5 & |
|---|
| 486 | + 3.0 * ibit4 * adv_sca_3 & |
|---|
| 487 | + ibit3 * adv_sca_1 & |
|---|
| 488 | ) * & |
|---|
| 489 | ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 490 | - ( 5.0 * ibit5 * adv_sca_5 & |
|---|
| 491 | + ibit4 * adv_sca_3 & |
|---|
| 492 | ) * & |
|---|
| 493 | ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
|---|
| 494 | + ( ibit5 * adv_sca_5 & |
|---|
| 495 | ) * & |
|---|
| 496 | ( sk(k,j+3,i) - sk(k,j-2,i) ) & |
|---|
| 497 | ) |
|---|
| 498 | ! |
|---|
| 499 | !-- k index has to be modified near bottom and top, else array |
|---|
| 500 | !-- subscripts will be exceeded. |
|---|
| 501 | ibit8 = IBITS(wall_flags_0(k,j,i),8,1) |
|---|
| 502 | ibit7 = IBITS(wall_flags_0(k,j,i),7,1) |
|---|
| 503 | ibit6 = IBITS(wall_flags_0(k,j,i),6,1) |
|---|
| 504 | |
|---|
| 505 | k_ppp = k + 3 * ibit8 |
|---|
| 506 | k_pp = k + 2 * ( 1 - ibit6 ) |
|---|
| 507 | k_mm = k - 2 * ibit8 |
|---|
| 508 | |
|---|
| 509 | |
|---|
| 510 | flux_t(k) = w(k,j,i) * ( & |
|---|
| 511 | ( 37.0 * ibit8 * adv_sca_5 & |
|---|
| 512 | + 7.0 * ibit7 * adv_sca_3 & |
|---|
| 513 | + ibit6 * adv_sca_1 & |
|---|
| 514 | ) * & |
|---|
| 515 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 516 | - ( 8.0 * ibit8 * adv_sca_5 & |
|---|
| 517 | + ibit7 * adv_sca_3 & |
|---|
| 518 | ) * & |
|---|
| 519 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
|---|
| 520 | + ( ibit8 * adv_sca_5 & |
|---|
| 521 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
|---|
| 522 | ) |
|---|
| 523 | |
|---|
| 524 | diss_t(k) = -ABS( w(k,j,i) ) * ( & |
|---|
| 525 | ( 10.0 * ibit8 * adv_sca_5 & |
|---|
| 526 | + 3.0 * ibit7 * adv_sca_3 & |
|---|
| 527 | + ibit6 * adv_sca_1 & |
|---|
| 528 | ) * & |
|---|
| 529 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 530 | - ( 5.0 * ibit8 * adv_sca_5 & |
|---|
| 531 | + ibit7 * adv_sca_3 & |
|---|
| 532 | ) * & |
|---|
| 533 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
|---|
| 534 | + ( ibit8 * adv_sca_5 & |
|---|
| 535 | ) * & |
|---|
| 536 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
|---|
| 537 | ) |
|---|
| 538 | ! |
|---|
| 539 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 540 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 541 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 542 | div = ( u(k,j,i+1) - u(k,j,i) ) * ddx & |
|---|
| 543 | + ( v(k,j+1,i) - v(k,j,i) ) * ddy & |
|---|
| 544 | + ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 545 | |
|---|
| 546 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 547 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j,tn) - & |
|---|
| 548 | swap_diss_x_local(k,j,tn) ) * ddx & |
|---|
| 549 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k,tn) - & |
|---|
| 550 | swap_diss_y_local(k,tn) ) * ddy & |
|---|
| 551 | + ( flux_t(k) + diss_t(k) - flux_d - diss_d & |
|---|
| 552 | ) * ddzw(k) & |
|---|
| 553 | ) + sk(k,j,i) * div |
|---|
| 554 | |
|---|
| 555 | swap_flux_y_local(k,tn) = flux_n(k) |
|---|
| 556 | swap_diss_y_local(k,tn) = diss_n(k) |
|---|
| 557 | swap_flux_x_local(k,j,tn) = flux_r(k) |
|---|
| 558 | swap_diss_x_local(k,j,tn) = diss_r(k) |
|---|
| 559 | flux_d = flux_t(k) |
|---|
| 560 | diss_d = diss_t(k) |
|---|
| 561 | |
|---|
| 562 | ENDDO |
|---|
| 563 | ! |
|---|
| 564 | !-- Now compute the fluxes and tendency terms for the horizontal and |
|---|
| 565 | !-- vertical parts above the top of the highest topography. No degradation |
|---|
| 566 | !-- for the horizontal parts, but for the vertical it is stell needed. |
|---|
| 567 | DO k = nzb_max+1, nzt |
|---|
| 568 | |
|---|
| 569 | u_comp = u(k,j,i+1) - u_gtrans |
|---|
| 570 | flux_r(k) = u_comp * ( & |
|---|
| 571 | 37.0 * ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 572 | - 8.0 * ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
|---|
| 573 | + ( sk(k,j,i+3) + sk(k,j,i-2) ) ) * adv_sca_5 |
|---|
| 574 | diss_r(k) = -ABS( u_comp ) * ( & |
|---|
| 575 | 10.0 * ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 576 | - 5.0 * ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
|---|
| 577 | + ( sk(k,j,i+3) - sk(k,j,i-2) ) ) * adv_sca_5 |
|---|
| 578 | |
|---|
| 579 | v_comp = v(k,j+1,i) - v_gtrans |
|---|
| 580 | flux_n(k) = v_comp * ( & |
|---|
| 581 | 37.0 * ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 582 | - 8.0 * ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
|---|
| 583 | + ( sk(k,j+3,i) + sk(k,j-2,i) ) ) * adv_sca_5 |
|---|
| 584 | diss_n(k) = -ABS( v_comp ) * ( & |
|---|
| 585 | 10.0 * ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 586 | - 5.0 * ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
|---|
| 587 | + ( sk(k,j+3,i) - sk(k,j-2,i) ) ) * adv_sca_5 |
|---|
| 588 | ! |
|---|
| 589 | !-- k index has to be modified near bottom and top, else array |
|---|
| 590 | !-- subscripts will be exceeded. |
|---|
| 591 | ibit8 = IBITS(wall_flags_0(k,j,i),8,1) |
|---|
| 592 | ibit7 = IBITS(wall_flags_0(k,j,i),7,1) |
|---|
| 593 | ibit6 = IBITS(wall_flags_0(k,j,i),6,1) |
|---|
| 594 | |
|---|
| 595 | k_ppp = k + 3 * ibit8 |
|---|
| 596 | k_pp = k + 2 * ( 1 - ibit6 ) |
|---|
| 597 | k_mm = k - 2 * ibit8 |
|---|
| 598 | |
|---|
| 599 | |
|---|
| 600 | flux_t(k) = w(k,j,i) * ( & |
|---|
| 601 | ( 37.0 * ibit8 * adv_sca_5 & |
|---|
| 602 | + 7.0 * ibit7 * adv_sca_3 & |
|---|
| 603 | + ibit6 * adv_sca_1 & |
|---|
| 604 | ) * & |
|---|
| 605 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 606 | - ( 8.0 * ibit8 * adv_sca_5 & |
|---|
| 607 | + ibit7 * adv_sca_3 & |
|---|
| 608 | ) * & |
|---|
| 609 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
|---|
| 610 | + ( ibit8 * adv_sca_5 & |
|---|
| 611 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
|---|
| 612 | ) |
|---|
| 613 | |
|---|
| 614 | diss_t(k) = -ABS( w(k,j,i) ) * ( & |
|---|
| 615 | ( 10.0 * ibit8 * adv_sca_5 & |
|---|
| 616 | + 3.0 * ibit7 * adv_sca_3 & |
|---|
| 617 | + ibit6 * adv_sca_1 & |
|---|
| 618 | ) * & |
|---|
| 619 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 620 | - ( 5.0 * ibit8 * adv_sca_5 & |
|---|
| 621 | + ibit7 * adv_sca_3 & |
|---|
| 622 | ) * & |
|---|
| 623 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
|---|
| 624 | + ( ibit8 * adv_sca_5 & |
|---|
| 625 | ) * & |
|---|
| 626 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
|---|
| 627 | ) |
|---|
| 628 | ! |
|---|
| 629 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 630 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 631 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 632 | div = ( u(k,j,i+1) - u(k,j,i) ) * ddx & |
|---|
| 633 | + ( v(k,j+1,i) - v(k,j,i) ) * ddy & |
|---|
| 634 | + ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 635 | |
|---|
| 636 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 637 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j,tn) - & |
|---|
| 638 | swap_diss_x_local(k,j,tn) ) * ddx & |
|---|
| 639 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k,tn) - & |
|---|
| 640 | swap_diss_y_local(k,tn) ) * ddy & |
|---|
| 641 | + ( flux_t(k) + diss_t(k) - flux_d - diss_d & |
|---|
| 642 | ) * ddzw(k) & |
|---|
| 643 | ) + sk(k,j,i) * div |
|---|
| 644 | |
|---|
| 645 | swap_flux_y_local(k,tn) = flux_n(k) |
|---|
| 646 | swap_diss_y_local(k,tn) = diss_n(k) |
|---|
| 647 | swap_flux_x_local(k,j,tn) = flux_r(k) |
|---|
| 648 | swap_diss_x_local(k,j,tn) = diss_r(k) |
|---|
| 649 | flux_d = flux_t(k) |
|---|
| 650 | diss_d = diss_t(k) |
|---|
| 651 | |
|---|
| 652 | ENDDO |
|---|
| 653 | |
|---|
| 654 | ! |
|---|
| 655 | !-- Evaluation of statistics |
|---|
| 656 | SELECT CASE ( sk_char ) |
|---|
| 657 | |
|---|
| 658 | CASE ( 'pt' ) |
|---|
| 659 | |
|---|
| 660 | DO k = nzb, nzt |
|---|
| 661 | sums_wspts_ws_l(k,tn) = sums_wspts_ws_l(k,tn) + & |
|---|
| 662 | ( flux_t(k) + diss_t(k) ) & |
|---|
| 663 | * weight_substep(intermediate_timestep_count) |
|---|
| 664 | ENDDO |
|---|
| 665 | |
|---|
| 666 | CASE ( 'sa' ) |
|---|
| 667 | |
|---|
| 668 | DO k = nzb, nzt |
|---|
| 669 | sums_wssas_ws_l(k,tn) = sums_wssas_ws_l(k,tn) + & |
|---|
| 670 | ( flux_t(k) + diss_t(k) ) & |
|---|
| 671 | * weight_substep(intermediate_timestep_count) |
|---|
| 672 | ENDDO |
|---|
| 673 | |
|---|
| 674 | CASE ( 'q' ) |
|---|
| 675 | |
|---|
| 676 | DO k = nzb, nzt |
|---|
| 677 | sums_wsqs_ws_l(k,tn) = sums_wsqs_ws_l(k,tn) + & |
|---|
| 678 | ( flux_t(k) + diss_t(k) ) & |
|---|
| 679 | * weight_substep(intermediate_timestep_count) |
|---|
| 680 | ENDDO |
|---|
| 681 | |
|---|
| 682 | END SELECT |
|---|
| 683 | |
|---|
| 684 | END SUBROUTINE advec_s_ws_ij |
|---|
| 685 | |
|---|
| 686 | |
|---|
| 687 | |
|---|
| 688 | |
|---|
| 689 | !------------------------------------------------------------------------------! |
|---|
| 690 | ! Advection of u-component - Call for grid point i,j |
|---|
| 691 | !------------------------------------------------------------------------------! |
|---|
| 692 | SUBROUTINE advec_u_ws_ij( i, j, i_omp, tn ) |
|---|
| 693 | |
|---|
| 694 | USE arrays_3d |
|---|
| 695 | USE constants |
|---|
| 696 | USE control_parameters |
|---|
| 697 | USE grid_variables |
|---|
| 698 | USE indices |
|---|
| 699 | USE statistics |
|---|
| 700 | |
|---|
| 701 | IMPLICIT NONE |
|---|
| 702 | |
|---|
| 703 | INTEGER :: i, ibit9, ibit10, ibit11, ibit12, ibit13, ibit14, ibit15, & |
|---|
| 704 | ibit16, ibit17, i_omp, j, k, k_mm, k_pp, k_ppp, tn |
|---|
| 705 | REAL :: diss_d, div, flux_d, gu, gv, u_comp_l, v_comp, w_comp |
|---|
| 706 | REAL, DIMENSION(nzb:nzt+1) :: diss_n, diss_r, diss_t, flux_n, flux_r, & |
|---|
| 707 | flux_t, u_comp |
|---|
| 708 | |
|---|
| 709 | gu = 2.0 * u_gtrans |
|---|
| 710 | gv = 2.0 * v_gtrans |
|---|
| 711 | ! |
|---|
| 712 | !-- Compute southside fluxes for the respective boundary of PE |
|---|
| 713 | IF ( j == nys ) THEN |
|---|
| 714 | |
|---|
| 715 | DO k = nzb+1, nzb_max |
|---|
| 716 | |
|---|
| 717 | ibit14 = IBITS(wall_flags_0(k,j,i),14,1) |
|---|
| 718 | ibit13 = IBITS(wall_flags_0(k,j,i),13,1) |
|---|
| 719 | ibit12 = IBITS(wall_flags_0(k,j,i),12,1) |
|---|
| 720 | |
|---|
| 721 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
|---|
| 722 | flux_s_u(k,tn) = v_comp * ( & |
|---|
| 723 | ( 37.0 * ibit14 * adv_mom_5 & |
|---|
| 724 | + 7.0 * ibit13 * adv_mom_3 & |
|---|
| 725 | + ibit12 * adv_mom_1 & |
|---|
| 726 | ) * & |
|---|
| 727 | ( u(k,j,i) + u(k,j-1,i) ) & |
|---|
| 728 | - ( 8.0 * ibit14 * adv_mom_5 & |
|---|
| 729 | + ibit13 * adv_mom_3 & |
|---|
| 730 | ) * & |
|---|
| 731 | ( u(k,j+1,i) + u(k,j-2,i) ) & |
|---|
| 732 | + ( ibit14 * adv_mom_5 & |
|---|
| 733 | ) * & |
|---|
| 734 | ( u(k,j+2,i) + u(k,j-3,i) ) & |
|---|
| 735 | ) |
|---|
| 736 | |
|---|
| 737 | diss_s_u(k,tn) = - ABS ( v_comp ) * ( & |
|---|
| 738 | ( 10.0 * ibit14 * adv_mom_5 & |
|---|
| 739 | + 3.0 * ibit13 * adv_mom_3 & |
|---|
| 740 | + ibit12 * adv_mom_1 & |
|---|
| 741 | ) * & |
|---|
| 742 | ( u(k,j,i) - u(k,j-1,i) ) & |
|---|
| 743 | - ( 5.0 * ibit14 * adv_mom_5 & |
|---|
| 744 | + ibit13 * adv_mom_3 & |
|---|
| 745 | ) * & |
|---|
| 746 | ( u(k,j+1,i) - u(k,j-2,i) ) & |
|---|
| 747 | + ( ibit14 * adv_mom_5 & |
|---|
| 748 | ) * & |
|---|
| 749 | ( u(k,j+2,i) - u(k,j-3,i) ) & |
|---|
| 750 | ) |
|---|
| 751 | |
|---|
| 752 | ENDDO |
|---|
| 753 | |
|---|
| 754 | DO k = nzb_max+1, nzt |
|---|
| 755 | |
|---|
| 756 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
|---|
| 757 | flux_s_u(k,tn) = v_comp * ( & |
|---|
| 758 | 37.0 * ( u(k,j,i) + u(k,j-1,i) ) & |
|---|
| 759 | - 8.0 * ( u(k,j+1,i) + u(k,j-2,i) ) & |
|---|
| 760 | + ( u(k,j+2,i) + u(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 761 | diss_s_u(k,tn) = - ABS(v_comp) * ( & |
|---|
| 762 | 10.0 * ( u(k,j,i) - u(k,j-1,i) ) & |
|---|
| 763 | - 5.0 * ( u(k,j+1,i) - u(k,j-2,i) ) & |
|---|
| 764 | + ( u(k,j+2,i) - u(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 765 | |
|---|
| 766 | ENDDO |
|---|
| 767 | |
|---|
| 768 | ENDIF |
|---|
| 769 | ! |
|---|
| 770 | !-- Compute leftside fluxes for the respective boundary of PE |
|---|
| 771 | IF ( i == i_omp ) THEN |
|---|
| 772 | |
|---|
| 773 | DO k = nzb+1, nzb_max |
|---|
| 774 | |
|---|
| 775 | ibit11 = IBITS(wall_flags_0(k,j,i),11,1) |
|---|
| 776 | ibit10 = IBITS(wall_flags_0(k,j,i),10,1) |
|---|
| 777 | ibit9 = IBITS(wall_flags_0(k,j,i),9,1) |
|---|
| 778 | |
|---|
| 779 | u_comp_l = u(k,j,i) + u(k,j,i-1) - gu |
|---|
| 780 | flux_l_u(k,j,tn) = u_comp_l * ( & |
|---|
| 781 | ( 37.0 * ibit11 * adv_mom_5 & |
|---|
| 782 | + 7.0 * ibit10 * adv_mom_3 & |
|---|
| 783 | + ibit9 * adv_mom_1 & |
|---|
| 784 | ) * & |
|---|
| 785 | ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 786 | - ( 8.0 * ibit11 * adv_mom_5 & |
|---|
| 787 | + ibit10 * adv_mom_3 & |
|---|
| 788 | ) * & |
|---|
| 789 | ( u(k,j,i+1) + u(k,j,i-2) ) & |
|---|
| 790 | + ( ibit11 * adv_mom_5 & |
|---|
| 791 | ) * & |
|---|
| 792 | ( u(k,j,i+2) + u(k,j,i-3) ) & |
|---|
| 793 | ) |
|---|
| 794 | |
|---|
| 795 | diss_l_u(k,j,tn) = - ABS( u_comp_l ) * ( & |
|---|
| 796 | ( 10.0 * ibit11 * adv_mom_5 & |
|---|
| 797 | + 3.0 * ibit10 * adv_mom_3 & |
|---|
| 798 | + ibit9 * adv_mom_1 & |
|---|
| 799 | ) * & |
|---|
| 800 | ( u(k,j,i) - u(k,j,i-1) ) & |
|---|
| 801 | - ( 5.0 * ibit11 * adv_mom_5 & |
|---|
| 802 | + ibit10 * adv_mom_3 & |
|---|
| 803 | ) * & |
|---|
| 804 | ( u(k,j,i+1) - u(k,j,i-2) ) & |
|---|
| 805 | + ( ibit11 * adv_mom_5 & |
|---|
| 806 | ) * & |
|---|
| 807 | ( u(k,j,i+2) - u(k,j,i-3) ) & |
|---|
| 808 | ) |
|---|
| 809 | |
|---|
| 810 | ENDDO |
|---|
| 811 | |
|---|
| 812 | DO k = nzb_max+1, nzt |
|---|
| 813 | |
|---|
| 814 | u_comp_l = u(k,j,i) + u(k,j,i-1) - gu |
|---|
| 815 | flux_l_u(k,j,tn) = u_comp_l * ( & |
|---|
| 816 | 37.0 * ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 817 | - 8.0 * ( u(k,j,i+1) + u(k,j,i-2) ) & |
|---|
| 818 | + ( u(k,j,i+2) + u(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 819 | diss_l_u(k,j,tn) = - ABS(u_comp_l) * ( & |
|---|
| 820 | 10.0 * ( u(k,j,i) - u(k,j,i-1) ) & |
|---|
| 821 | - 5.0 * ( u(k,j,i+1) - u(k,j,i-2) ) & |
|---|
| 822 | + ( u(k,j,i+2) - u(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 823 | |
|---|
| 824 | ENDDO |
|---|
| 825 | |
|---|
| 826 | ENDIF |
|---|
| 827 | |
|---|
| 828 | flux_t(0) = 0.0 |
|---|
| 829 | diss_t(0) = 0.0 |
|---|
| 830 | flux_d = 0.0 |
|---|
| 831 | diss_d = 0.0 |
|---|
| 832 | ! |
|---|
| 833 | !-- Now compute the fluxes tendency terms for the horizontal and |
|---|
| 834 | !-- vertical parts. |
|---|
| 835 | DO k = nzb+1, nzb_max |
|---|
| 836 | |
|---|
| 837 | ibit11 = IBITS(wall_flags_0(k,j,i),11,1) |
|---|
| 838 | ibit10 = IBITS(wall_flags_0(k,j,i),10,1) |
|---|
| 839 | ibit9 = IBITS(wall_flags_0(k,j,i),9,1) |
|---|
| 840 | |
|---|
| 841 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
|---|
| 842 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
|---|
| 843 | ( 37.0 * ibit11 * adv_mom_5 & |
|---|
| 844 | + 7.0 * ibit10 * adv_mom_3 & |
|---|
| 845 | + ibit9 * adv_mom_1 & |
|---|
| 846 | ) * & |
|---|
| 847 | ( u(k,j,i+1) + u(k,j,i) ) & |
|---|
| 848 | - ( 8.0 * ibit11 * adv_mom_5 & |
|---|
| 849 | + ibit10 * adv_mom_3 & |
|---|
| 850 | ) * & |
|---|
| 851 | ( u(k,j,i+2) + u(k,j,i-1) ) & |
|---|
| 852 | + ( ibit11 * adv_mom_5 & |
|---|
| 853 | ) * & |
|---|
| 854 | ( u(k,j,i+3) + u(k,j,i-2) ) & |
|---|
| 855 | ) |
|---|
| 856 | |
|---|
| 857 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
|---|
| 858 | ( 10.0 * ibit11 * adv_mom_5 & |
|---|
| 859 | + 3.0 * ibit10 * adv_mom_3 & |
|---|
| 860 | + ibit9 * adv_mom_1 & |
|---|
| 861 | ) * & |
|---|
| 862 | ( u(k,j,i+1) - u(k,j,i) ) & |
|---|
| 863 | - ( 5.0 * ibit11 * adv_mom_5 & |
|---|
| 864 | + ibit10 * adv_mom_3 & |
|---|
| 865 | ) * & |
|---|
| 866 | ( u(k,j,i+2) - u(k,j,i-1) ) & |
|---|
| 867 | + ( ibit11 * adv_mom_5 & |
|---|
| 868 | ) * & |
|---|
| 869 | ( u(k,j,i+3) - u(k,j,i-2) ) & |
|---|
| 870 | ) |
|---|
| 871 | |
|---|
| 872 | ibit14 = IBITS(wall_flags_0(k,j,i),14,1) |
|---|
| 873 | ibit13 = IBITS(wall_flags_0(k,j,i),13,1) |
|---|
| 874 | ibit12 = IBITS(wall_flags_0(k,j,i),12,1) |
|---|
| 875 | |
|---|
| 876 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
|---|
| 877 | flux_n(k) = v_comp * ( & |
|---|
| 878 | ( 37.0 * ibit14 * adv_mom_5 & |
|---|
| 879 | + 7.0 * ibit13 * adv_mom_3 & |
|---|
| 880 | + ibit12 * adv_mom_1 & |
|---|
| 881 | ) * & |
|---|
| 882 | ( u(k,j+1,i) + u(k,j,i) ) & |
|---|
| 883 | - ( 8.0 * ibit14 * adv_mom_5 & |
|---|
| 884 | + ibit13 * adv_mom_3 & |
|---|
| 885 | ) * & |
|---|
| 886 | ( u(k,j+2,i) + u(k,j-1,i) ) & |
|---|
| 887 | + ( ibit14 * adv_mom_5 & |
|---|
| 888 | ) * & |
|---|
| 889 | ( u(k,j+3,i) + u(k,j-2,i) ) & |
|---|
| 890 | ) |
|---|
| 891 | |
|---|
| 892 | diss_n(k) = - ABS ( v_comp ) * ( & |
|---|
| 893 | ( 10.0 * ibit14 * adv_mom_5 & |
|---|
| 894 | + 3.0 * ibit13 * adv_mom_3 & |
|---|
| 895 | + ibit12 * adv_mom_1 & |
|---|
| 896 | ) * & |
|---|
| 897 | ( u(k,j+1,i) - u(k,j,i) ) & |
|---|
| 898 | - ( 5.0 * ibit14 * adv_mom_5 & |
|---|
| 899 | + ibit13 * adv_mom_3 & |
|---|
| 900 | ) * & |
|---|
| 901 | ( u(k,j+2,i) - u(k,j-1,i) ) & |
|---|
| 902 | + ( ibit14 * adv_mom_5 & |
|---|
| 903 | ) * & |
|---|
| 904 | ( u(k,j+3,i) - u(k,j-2,i) ) & |
|---|
| 905 | ) |
|---|
| 906 | ! |
|---|
| 907 | !-- k index has to be modified near bottom and top, else array |
|---|
| 908 | !-- subscripts will be exceeded. |
|---|
| 909 | ibit17 = IBITS(wall_flags_0(k,j,i),17,1) |
|---|
| 910 | ibit16 = IBITS(wall_flags_0(k,j,i),16,1) |
|---|
| 911 | ibit15 = IBITS(wall_flags_0(k,j,i),15,1) |
|---|
| 912 | |
|---|
| 913 | k_ppp = k + 3 * ibit17 |
|---|
| 914 | k_pp = k + 2 * ( 1 - ibit15 ) |
|---|
| 915 | k_mm = k - 2 * ibit17 |
|---|
| 916 | |
|---|
| 917 | w_comp = w(k,j,i) + w(k,j,i-1) |
|---|
| 918 | flux_t(k) = w_comp * ( & |
|---|
| 919 | ( 37.0 * ibit17 * adv_mom_5 & |
|---|
| 920 | + 7.0 * ibit16 * adv_mom_3 & |
|---|
| 921 | + ibit15 * adv_mom_1 & |
|---|
| 922 | ) * & |
|---|
| 923 | ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 924 | - ( 8.0 * ibit17 * adv_mom_5 & |
|---|
| 925 | + ibit16 * adv_mom_3 & |
|---|
| 926 | ) * & |
|---|
| 927 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
|---|
| 928 | + ( ibit17 * adv_mom_5 & |
|---|
| 929 | ) * & |
|---|
| 930 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
|---|
| 931 | ) |
|---|
| 932 | |
|---|
| 933 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 934 | ( 10.0 * ibit17 * adv_mom_5 & |
|---|
| 935 | + 3.0 * ibit16 * adv_mom_3 & |
|---|
| 936 | + ibit15 * adv_mom_1 & |
|---|
| 937 | ) * & |
|---|
| 938 | ( u(k+1,j,i) - u(k,j,i) ) & |
|---|
| 939 | - ( 5.0 * ibit17 * adv_mom_5 & |
|---|
| 940 | + ibit16 * adv_mom_3 & |
|---|
| 941 | ) * & |
|---|
| 942 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
|---|
| 943 | + ( ibit17 * adv_mom_5 & |
|---|
| 944 | ) * & |
|---|
| 945 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
|---|
| 946 | ) |
|---|
| 947 | ! |
|---|
| 948 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 949 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 950 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 951 | div = ( ( u_comp(k) - ( u(k,j,i) + u(k,j,i-1) ) ) * ddx & |
|---|
| 952 | + ( v_comp + gv - ( v(k,j,i) + v(k,j,i-1 ) ) ) * ddy & |
|---|
| 953 | + ( w_comp - ( w(k-1,j,i) + w(k-1,j,i-1) ) ) * ddzw(k) & |
|---|
| 954 | ) * 0.5 |
|---|
| 955 | |
|---|
| 956 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 957 | ( flux_r(k) + diss_r(k) & |
|---|
| 958 | - flux_l_u(k,j,tn) - diss_l_u(k,j,tn) ) * ddx & |
|---|
| 959 | + ( flux_n(k) + diss_n(k) & |
|---|
| 960 | - flux_s_u(k,tn) - diss_s_u(k,tn) ) * ddy & |
|---|
| 961 | + ( flux_t(k) + diss_t(k) & |
|---|
| 962 | - flux_d - diss_d ) * ddzw(k) & |
|---|
| 963 | ) + div * u(k,j,i) |
|---|
| 964 | |
|---|
| 965 | flux_l_u(k,j,tn) = flux_r(k) |
|---|
| 966 | diss_l_u(k,j,tn) = diss_r(k) |
|---|
| 967 | flux_s_u(k,tn) = flux_n(k) |
|---|
| 968 | diss_s_u(k,tn) = diss_n(k) |
|---|
| 969 | flux_d = flux_t(k) |
|---|
| 970 | diss_d = diss_t(k) |
|---|
| 971 | ! |
|---|
| 972 | !-- Statistical Evaluation of u'u'. The factor has to be applied for |
|---|
| 973 | !-- right evaluation when gallilei_trans = .T. . |
|---|
| 974 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
|---|
| 975 | + ( flux_r(k) * & |
|---|
| 976 | ( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
|---|
| 977 | / ( u_comp(k) - gu + 1.0E-20 ) & |
|---|
| 978 | + diss_r(k) * & |
|---|
| 979 | ABS( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
|---|
| 980 | / ( ABS( u_comp(k) - gu ) + 1.0E-20 ) ) & |
|---|
| 981 | * weight_substep(intermediate_timestep_count) |
|---|
| 982 | ! |
|---|
| 983 | !-- Statistical Evaluation of w'u'. |
|---|
| 984 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
|---|
| 985 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 986 | * weight_substep(intermediate_timestep_count) |
|---|
| 987 | ENDDO |
|---|
| 988 | |
|---|
| 989 | DO k = nzb_max+1, nzt |
|---|
| 990 | |
|---|
| 991 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
|---|
| 992 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
|---|
| 993 | 37.0 * ( u(k,j,i+1) + u(k,j,i) ) & |
|---|
| 994 | - 8.0 * ( u(k,j,i+2) + u(k,j,i-1) ) & |
|---|
| 995 | + ( u(k,j,i+3) + u(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 996 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
|---|
| 997 | 10.0 * ( u(k,j,i+1) - u(k,j,i) ) & |
|---|
| 998 | - 5.0 * ( u(k,j,i+2) - u(k,j,i-1) ) & |
|---|
| 999 | + ( u(k,j,i+3) - u(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 1000 | |
|---|
| 1001 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
|---|
| 1002 | flux_n(k) = v_comp * ( & |
|---|
| 1003 | 37.0 * ( u(k,j+1,i) + u(k,j,i) ) & |
|---|
| 1004 | - 8.0 * ( u(k,j+2,i) + u(k,j-1,i) ) & |
|---|
| 1005 | + ( u(k,j+3,i) + u(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 1006 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 1007 | 10.0 * ( u(k,j+1,i) - u(k,j,i) ) & |
|---|
| 1008 | - 5.0 * ( u(k,j+2,i) - u(k,j-1,i) ) & |
|---|
| 1009 | + ( u(k,j+3,i) - u(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 1010 | ! |
|---|
| 1011 | !-- k index has to be modified near bottom and top, else array |
|---|
| 1012 | !-- subscripts will be exceeded. |
|---|
| 1013 | ibit17 = IBITS(wall_flags_0(k,j,i),17,1) |
|---|
| 1014 | ibit16 = IBITS(wall_flags_0(k,j,i),16,1) |
|---|
| 1015 | ibit15 = IBITS(wall_flags_0(k,j,i),15,1) |
|---|
| 1016 | |
|---|
| 1017 | k_ppp = k + 3 * ibit17 |
|---|
| 1018 | k_pp = k + 2 * ( 1 - ibit15 ) |
|---|
| 1019 | k_mm = k - 2 * ibit17 |
|---|
| 1020 | |
|---|
| 1021 | w_comp = w(k,j,i) + w(k,j,i-1) |
|---|
| 1022 | flux_t(k) = w_comp * ( & |
|---|
| 1023 | ( 37.0 * ibit17 * adv_mom_5 & |
|---|
| 1024 | + 7.0 * ibit16 * adv_mom_3 & |
|---|
| 1025 | + ibit15 * adv_mom_1 & |
|---|
| 1026 | ) * & |
|---|
| 1027 | ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 1028 | - ( 8.0 * ibit17 * adv_mom_5 & |
|---|
| 1029 | + ibit16 * adv_mom_3 & |
|---|
| 1030 | ) * & |
|---|
| 1031 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
|---|
| 1032 | + ( ibit17 * adv_mom_5 & |
|---|
| 1033 | ) * & |
|---|
| 1034 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
|---|
| 1035 | ) |
|---|
| 1036 | |
|---|
| 1037 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 1038 | ( 10.0 * ibit17 * adv_mom_5 & |
|---|
| 1039 | + 3.0 * ibit16 * adv_mom_3 & |
|---|
| 1040 | + ibit15 * adv_mom_1 & |
|---|
| 1041 | ) * & |
|---|
| 1042 | ( u(k+1,j,i) - u(k,j,i) ) & |
|---|
| 1043 | - ( 5.0 * ibit17 * adv_mom_5 & |
|---|
| 1044 | + ibit16 * adv_mom_3 & |
|---|
| 1045 | ) * & |
|---|
| 1046 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
|---|
| 1047 | + ( ibit17 * adv_mom_5 & |
|---|
| 1048 | ) * & |
|---|
| 1049 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
|---|
| 1050 | ) |
|---|
| 1051 | ! |
|---|
| 1052 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 1053 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 1054 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 1055 | div = ( ( u_comp(k) - ( u(k,j,i) + u(k,j,i-1) ) ) * ddx & |
|---|
| 1056 | + ( v_comp + gv - ( v(k,j,i) + v(k,j,i-1 ) ) ) * ddy & |
|---|
| 1057 | + ( w_comp - ( w(k-1,j,i) + w(k-1,j,i-1) ) ) * ddzw(k) & |
|---|
| 1058 | ) * 0.5 |
|---|
| 1059 | |
|---|
| 1060 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 1061 | ( flux_r(k) + diss_r(k) & |
|---|
| 1062 | - flux_l_u(k,j,tn) - diss_l_u(k,j,tn) ) * ddx & |
|---|
| 1063 | + ( flux_n(k) + diss_n(k) & |
|---|
| 1064 | - flux_s_u(k,tn) - diss_s_u(k,tn) ) * ddy & |
|---|
| 1065 | + ( flux_t(k) + diss_t(k) & |
|---|
| 1066 | - flux_d - diss_d ) * ddzw(k) & |
|---|
| 1067 | ) + div * u(k,j,i) |
|---|
| 1068 | |
|---|
| 1069 | flux_l_u(k,j,tn) = flux_r(k) |
|---|
| 1070 | diss_l_u(k,j,tn) = diss_r(k) |
|---|
| 1071 | flux_s_u(k,tn) = flux_n(k) |
|---|
| 1072 | diss_s_u(k,tn) = diss_n(k) |
|---|
| 1073 | flux_d = flux_t(k) |
|---|
| 1074 | diss_d = diss_t(k) |
|---|
| 1075 | ! |
|---|
| 1076 | !-- Statistical Evaluation of u'u'. The factor has to be applied for |
|---|
| 1077 | !-- right evaluation when gallilei_trans = .T. . |
|---|
| 1078 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
|---|
| 1079 | + ( flux_r(k) * & |
|---|
| 1080 | ( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
|---|
| 1081 | / ( u_comp(k) - gu + 1.0E-20 ) & |
|---|
| 1082 | + diss_r(k) * & |
|---|
| 1083 | ABS( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
|---|
| 1084 | / ( ABS( u_comp(k) - gu ) + 1.0E-20 ) ) & |
|---|
| 1085 | * weight_substep(intermediate_timestep_count) |
|---|
| 1086 | ! |
|---|
| 1087 | !-- Statistical Evaluation of w'u'. |
|---|
| 1088 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
|---|
| 1089 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 1090 | * weight_substep(intermediate_timestep_count) |
|---|
| 1091 | ENDDO |
|---|
| 1092 | |
|---|
| 1093 | sums_us2_ws_l(nzb,tn) = sums_us2_ws_l(nzb+1,tn) |
|---|
| 1094 | |
|---|
| 1095 | |
|---|
| 1096 | |
|---|
| 1097 | END SUBROUTINE advec_u_ws_ij |
|---|
| 1098 | |
|---|
| 1099 | |
|---|
| 1100 | |
|---|
| 1101 | !-----------------------------------------------------------------------------! |
|---|
| 1102 | ! Advection of v-component - Call for grid point i,j |
|---|
| 1103 | !-----------------------------------------------------------------------------! |
|---|
| 1104 | SUBROUTINE advec_v_ws_ij( i, j, i_omp, tn ) |
|---|
| 1105 | |
|---|
| 1106 | USE arrays_3d |
|---|
| 1107 | USE constants |
|---|
| 1108 | USE control_parameters |
|---|
| 1109 | USE grid_variables |
|---|
| 1110 | USE indices |
|---|
| 1111 | USE statistics |
|---|
| 1112 | |
|---|
| 1113 | IMPLICIT NONE |
|---|
| 1114 | |
|---|
| 1115 | INTEGER :: i, ibit18, ibit19, ibit20, ibit21, ibit22, ibit23, ibit24, & |
|---|
| 1116 | ibit25, ibit26, i_omp, j, k, k_mm, k_pp, k_ppp, tn |
|---|
| 1117 | REAL :: diss_d, div, flux_d, gu, gv, u_comp, v_comp_l, w_comp |
|---|
| 1118 | REAL, DIMENSION(nzb:nzt+1) :: diss_n, diss_r, diss_t, flux_n, flux_r, & |
|---|
| 1119 | flux_t, v_comp |
|---|
| 1120 | |
|---|
| 1121 | gu = 2.0 * u_gtrans |
|---|
| 1122 | gv = 2.0 * v_gtrans |
|---|
| 1123 | |
|---|
| 1124 | ! |
|---|
| 1125 | !-- Compute leftside fluxes for the respective boundary. |
|---|
| 1126 | IF ( i == i_omp ) THEN |
|---|
| 1127 | |
|---|
| 1128 | DO k = nzb+1, nzb_max |
|---|
| 1129 | |
|---|
| 1130 | ibit20 = IBITS(wall_flags_0(k,j,i),20,1) |
|---|
| 1131 | ibit19 = IBITS(wall_flags_0(k,j,i),19,1) |
|---|
| 1132 | ibit18 = IBITS(wall_flags_0(k,j,i),18,1) |
|---|
| 1133 | |
|---|
| 1134 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
|---|
| 1135 | flux_l_v(k,j,tn) = u_comp * ( & |
|---|
| 1136 | ( 37.0 * ibit20 * adv_mom_5 & |
|---|
| 1137 | + 7.0 * ibit19 * adv_mom_3 & |
|---|
| 1138 | + ibit18 * adv_mom_1 & |
|---|
| 1139 | ) * & |
|---|
| 1140 | ( v(k,j,i) + v(k,j,i-1) ) & |
|---|
| 1141 | - ( 8.0 * ibit20 * adv_mom_5 & |
|---|
| 1142 | + ibit19 * adv_mom_3 & |
|---|
| 1143 | ) * & |
|---|
| 1144 | ( v(k,j,i+1) + v(k,j,i-2) ) & |
|---|
| 1145 | + ( ibit20 * adv_mom_5 & |
|---|
| 1146 | ) * & |
|---|
| 1147 | ( v(k,j,i+2) + v(k,j,i-3) ) & |
|---|
| 1148 | ) |
|---|
| 1149 | |
|---|
| 1150 | diss_l_v(k,j,tn) = - ABS( u_comp ) * ( & |
|---|
| 1151 | ( 10.0 * ibit20 * adv_mom_5 & |
|---|
| 1152 | + 3.0 * ibit19 * adv_mom_3 & |
|---|
| 1153 | + ibit18 * adv_mom_1 & |
|---|
| 1154 | ) * & |
|---|
| 1155 | ( v(k,j,i) - v(k,j,i-1) ) & |
|---|
| 1156 | - ( 5.0 * ibit20 * adv_mom_5 & |
|---|
| 1157 | + ibit19 * adv_mom_3 & |
|---|
| 1158 | ) * & |
|---|
| 1159 | ( v(k,j,i+1) - v(k,j,i-2) ) & |
|---|
| 1160 | + ( ibit20 * adv_mom_5 & |
|---|
| 1161 | ) * & |
|---|
| 1162 | ( v(k,j,i+2) - v(k,j,i-3) ) & |
|---|
| 1163 | ) |
|---|
| 1164 | |
|---|
| 1165 | ENDDO |
|---|
| 1166 | |
|---|
| 1167 | DO k = nzb_max+1, nzt |
|---|
| 1168 | |
|---|
| 1169 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
|---|
| 1170 | flux_l_v(k,j,tn) = u_comp * ( & |
|---|
| 1171 | 37.0 * ( v(k,j,i) + v(k,j,i-1) ) & |
|---|
| 1172 | - 8.0 * ( v(k,j,i+1) + v(k,j,i-2) ) & |
|---|
| 1173 | + ( v(k,j,i+2) + v(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 1174 | diss_l_v(k,j,tn) = - ABS( u_comp ) * ( & |
|---|
| 1175 | 10.0 * ( v(k,j,i) - v(k,j,i-1) ) & |
|---|
| 1176 | - 5.0 * ( v(k,j,i+1) - v(k,j,i-2) ) & |
|---|
| 1177 | + ( v(k,j,i+2) - v(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 1178 | |
|---|
| 1179 | ENDDO |
|---|
| 1180 | |
|---|
| 1181 | ENDIF |
|---|
| 1182 | ! |
|---|
| 1183 | !-- Compute southside fluxes for the respective boundary. |
|---|
| 1184 | IF ( j == nysv ) THEN |
|---|
| 1185 | |
|---|
| 1186 | DO k = nzb+1, nzb_max |
|---|
| 1187 | |
|---|
| 1188 | ibit23 = IBITS(wall_flags_0(k,j,i),23,1) |
|---|
| 1189 | ibit22 = IBITS(wall_flags_0(k,j,i),22,1) |
|---|
| 1190 | ibit21 = IBITS(wall_flags_0(k,j,i),21,1) |
|---|
| 1191 | |
|---|
| 1192 | v_comp_l = v(k,j,i) + v(k,j-1,i) - gv |
|---|
| 1193 | flux_s_v(k,tn) = v_comp_l * ( & |
|---|
| 1194 | ( 37.0 * ibit23 * adv_mom_5 & |
|---|
| 1195 | + 7.0 * ibit22 * adv_mom_3 & |
|---|
| 1196 | + ibit21 * adv_mom_1 & |
|---|
| 1197 | ) * & |
|---|
| 1198 | ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 1199 | - ( 8.0 * ibit23 * adv_mom_5 & |
|---|
| 1200 | + ibit22 * adv_mom_3 & |
|---|
| 1201 | ) * & |
|---|
| 1202 | ( v(k,j+1,i) + v(k,j-2,i) ) & |
|---|
| 1203 | + ( ibit23 * adv_mom_5 & |
|---|
| 1204 | ) * & |
|---|
| 1205 | ( v(k,j+2,i) + v(k,j-3,i) ) & |
|---|
| 1206 | ) |
|---|
| 1207 | |
|---|
| 1208 | diss_s_v(k,tn) = - ABS( v_comp_l ) * ( & |
|---|
| 1209 | ( 10.0 * ibit23 * adv_mom_5 & |
|---|
| 1210 | + 3.0 * ibit22 * adv_mom_3 & |
|---|
| 1211 | + ibit21 * adv_mom_1 & |
|---|
| 1212 | ) * & |
|---|
| 1213 | ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 1214 | - ( 5.0 * ibit23 * adv_mom_5 & |
|---|
| 1215 | + ibit22 * adv_mom_3 & |
|---|
| 1216 | ) * & |
|---|
| 1217 | ( v(k,j+1,i) - v(k,j-2,i) ) & |
|---|
| 1218 | + ( ibit23 * adv_mom_5 & |
|---|
| 1219 | ) * & |
|---|
| 1220 | ( v(k,j+2,i) - v(k,j-3,i) ) & |
|---|
| 1221 | ) |
|---|
| 1222 | |
|---|
| 1223 | ENDDO |
|---|
| 1224 | |
|---|
| 1225 | DO k = nzb_max+1, nzt |
|---|
| 1226 | |
|---|
| 1227 | v_comp_l = v(k,j,i) + v(k,j-1,i) - gv |
|---|
| 1228 | flux_s_v(k,tn) = v_comp_l * ( & |
|---|
| 1229 | 37.0 * ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 1230 | - 8.0 * ( v(k,j+1,i) + v(k,j-2,i) ) & |
|---|
| 1231 | + ( v(k,j+2,i) + v(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 1232 | diss_s_v(k,tn) = - ABS( v_comp_l ) * ( & |
|---|
| 1233 | 10.0 * ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 1234 | - 5.0 * ( v(k,j+1,i) - v(k,j-2,i) ) & |
|---|
| 1235 | + ( v(k,j+2,i) - v(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 1236 | |
|---|
| 1237 | ENDDO |
|---|
| 1238 | |
|---|
| 1239 | ENDIF |
|---|
| 1240 | |
|---|
| 1241 | flux_t(0) = 0.0 |
|---|
| 1242 | diss_t(0) = 0.0 |
|---|
| 1243 | flux_d = 0.0 |
|---|
| 1244 | diss_d = 0.0 |
|---|
| 1245 | ! |
|---|
| 1246 | !-- Now compute the fluxes and tendency terms for the horizontal and |
|---|
| 1247 | !-- verical parts. |
|---|
| 1248 | DO k = nzb+1, nzb_max |
|---|
| 1249 | |
|---|
| 1250 | ibit20 = IBITS(wall_flags_0(k,j,i),20,1) |
|---|
| 1251 | ibit19 = IBITS(wall_flags_0(k,j,i),19,1) |
|---|
| 1252 | ibit18 = IBITS(wall_flags_0(k,j,i),18,1) |
|---|
| 1253 | |
|---|
| 1254 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
|---|
| 1255 | flux_r(k) = u_comp * ( & |
|---|
| 1256 | ( 37.0 * ibit20 * adv_mom_5 & |
|---|
| 1257 | + 7.0 * ibit19 * adv_mom_3 & |
|---|
| 1258 | + ibit18 * adv_mom_1 & |
|---|
| 1259 | ) * & |
|---|
| 1260 | ( v(k,j,i+1) + v(k,j,i) ) & |
|---|
| 1261 | - ( 8.0 * ibit20 * adv_mom_5 & |
|---|
| 1262 | + ibit19 * adv_mom_3 & |
|---|
| 1263 | ) * & |
|---|
| 1264 | ( v(k,j,i+2) + v(k,j,i-1) ) & |
|---|
| 1265 | + ( ibit20 * adv_mom_5 & |
|---|
| 1266 | ) * & |
|---|
| 1267 | ( v(k,j,i+3) + v(k,j,i-2) ) & |
|---|
| 1268 | ) |
|---|
| 1269 | |
|---|
| 1270 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 1271 | ( 10.0 * ibit20 * adv_mom_5 & |
|---|
| 1272 | + 3.0 * ibit19 * adv_mom_3 & |
|---|
| 1273 | + ibit18 * adv_mom_1 & |
|---|
| 1274 | ) * & |
|---|
| 1275 | ( v(k,j,i+1) - v(k,j,i) ) & |
|---|
| 1276 | - ( 5.0 * ibit20 * adv_mom_5 & |
|---|
| 1277 | + ibit19 * adv_mom_3 & |
|---|
| 1278 | ) * & |
|---|
| 1279 | ( v(k,j,i+2) - v(k,j,i-1) ) & |
|---|
| 1280 | + ( ibit20 * adv_mom_5 & |
|---|
| 1281 | ) * & |
|---|
| 1282 | ( v(k,j,i+3) - v(k,j,i-2) ) & |
|---|
| 1283 | ) |
|---|
| 1284 | |
|---|
| 1285 | ibit23 = IBITS(wall_flags_0(k,j,i),23,1) |
|---|
| 1286 | ibit22 = IBITS(wall_flags_0(k,j,i),22,1) |
|---|
| 1287 | ibit21 = IBITS(wall_flags_0(k,j,i),21,1) |
|---|
| 1288 | |
|---|
| 1289 | |
|---|
| 1290 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
|---|
| 1291 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
|---|
| 1292 | ( 37.0 * ibit23 * adv_mom_5 & |
|---|
| 1293 | + 7.0 * ibit22 * adv_mom_3 & |
|---|
| 1294 | + ibit21 * adv_mom_1 & |
|---|
| 1295 | ) * & |
|---|
| 1296 | ( v(k,j+1,i) + v(k,j,i) ) & |
|---|
| 1297 | - ( 8.0 * ibit23 * adv_mom_5 & |
|---|
| 1298 | + ibit22 * adv_mom_3 & |
|---|
| 1299 | ) * & |
|---|
| 1300 | ( v(k,j+2,i) + v(k,j-1,i) ) & |
|---|
| 1301 | + ( ibit23 * adv_mom_5 & |
|---|
| 1302 | ) * & |
|---|
| 1303 | ( v(k,j+3,i) + v(k,j-2,i) ) & |
|---|
| 1304 | ) |
|---|
| 1305 | |
|---|
| 1306 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
|---|
| 1307 | ( 10.0 * ibit23 * adv_mom_5 & |
|---|
| 1308 | + 3.0 * ibit22 * adv_mom_3 & |
|---|
| 1309 | + ibit21 * adv_mom_1 & |
|---|
| 1310 | ) * & |
|---|
| 1311 | ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 1312 | - ( 5.0 * ibit23 * adv_mom_5 & |
|---|
| 1313 | + ibit22 * adv_mom_3 & |
|---|
| 1314 | ) * & |
|---|
| 1315 | ( v(k,j+2,i) - v(k,j-1,i) ) & |
|---|
| 1316 | + ( ibit23 * adv_mom_5 & |
|---|
| 1317 | ) * & |
|---|
| 1318 | ( v(k,j+3,i) - v(k,j-2,i) ) & |
|---|
| 1319 | ) |
|---|
| 1320 | ! |
|---|
| 1321 | !-- k index has to be modified near bottom and top, else array |
|---|
| 1322 | !-- subscripts will be exceeded. |
|---|
| 1323 | ibit26 = IBITS(wall_flags_0(k,j,i),26,1) |
|---|
| 1324 | ibit25 = IBITS(wall_flags_0(k,j,i),25,1) |
|---|
| 1325 | ibit24 = IBITS(wall_flags_0(k,j,i),24,1) |
|---|
| 1326 | |
|---|
| 1327 | k_ppp = k + 3 * ibit26 |
|---|
| 1328 | k_pp = k + 2 * ( 1 - ibit24 ) |
|---|
| 1329 | k_mm = k - 2 * ibit26 |
|---|
| 1330 | |
|---|
| 1331 | w_comp = w(k,j-1,i) + w(k,j,i) |
|---|
| 1332 | flux_t(k) = w_comp * ( & |
|---|
| 1333 | ( 37.0 * ibit26 * adv_mom_5 & |
|---|
| 1334 | + 7.0 * ibit25 * adv_mom_3 & |
|---|
| 1335 | + ibit24 * adv_mom_1 & |
|---|
| 1336 | ) * & |
|---|
| 1337 | ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 1338 | - ( 8.0 * ibit26 * adv_mom_5 & |
|---|
| 1339 | + ibit25 * adv_mom_3 & |
|---|
| 1340 | ) * & |
|---|
| 1341 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
|---|
| 1342 | + ( ibit26 * adv_mom_5 & |
|---|
| 1343 | ) * & |
|---|
| 1344 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
|---|
| 1345 | ) |
|---|
| 1346 | |
|---|
| 1347 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 1348 | ( 10.0 * ibit26 * adv_mom_5 & |
|---|
| 1349 | + 3.0 * ibit25 * adv_mom_3 & |
|---|
| 1350 | + ibit24 * adv_mom_1 & |
|---|
| 1351 | ) * & |
|---|
| 1352 | ( v(k+1,j,i) - v(k,j,i) ) & |
|---|
| 1353 | - ( 5.0 * ibit26 * adv_mom_5 & |
|---|
| 1354 | + ibit25 * adv_mom_3 & |
|---|
| 1355 | ) * & |
|---|
| 1356 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
|---|
| 1357 | + ( ibit26 * adv_mom_5 & |
|---|
| 1358 | ) * & |
|---|
| 1359 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
|---|
| 1360 | ) |
|---|
| 1361 | ! |
|---|
| 1362 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 1363 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 1364 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 1365 | div = ( ( u_comp + gu - ( u(k,j-1,i) + u(k,j,i) ) ) * ddx & |
|---|
| 1366 | + ( v_comp(k) - ( v(k,j,i) + v(k,j-1,i) ) ) * ddy & |
|---|
| 1367 | + ( w_comp - ( w(k-1,j-1,i) + w(k-1,j,i) ) ) * ddzw(k) & |
|---|
| 1368 | ) * 0.5 |
|---|
| 1369 | |
|---|
| 1370 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 1371 | ( flux_r(k) + diss_r(k) & |
|---|
| 1372 | - flux_l_v(k,j,tn) - diss_l_v(k,j,tn) ) * ddx & |
|---|
| 1373 | + ( flux_n(k) + diss_n(k) & |
|---|
| 1374 | - flux_s_v(k,tn) - diss_s_v(k,tn) ) * ddy & |
|---|
| 1375 | + ( flux_t(k) + diss_t(k) & |
|---|
| 1376 | - flux_d - diss_d ) * ddzw(k) & |
|---|
| 1377 | ) + v(k,j,i) * div |
|---|
| 1378 | |
|---|
| 1379 | flux_l_v(k,j,tn) = flux_r(k) |
|---|
| 1380 | diss_l_v(k,j,tn) = diss_r(k) |
|---|
| 1381 | flux_s_v(k,tn) = flux_n(k) |
|---|
| 1382 | diss_s_v(k,tn) = diss_n(k) |
|---|
| 1383 | flux_d = flux_t(k) |
|---|
| 1384 | diss_d = diss_t(k) |
|---|
| 1385 | |
|---|
| 1386 | ! |
|---|
| 1387 | !-- Statistical Evaluation of v'v'. The factor has to be applied for |
|---|
| 1388 | !-- right evaluation when gallilei_trans = .T. . |
|---|
| 1389 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
|---|
| 1390 | + ( flux_n(k) & |
|---|
| 1391 | * ( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
|---|
| 1392 | / ( v_comp(k) - gv + 1.0E-20 ) & |
|---|
| 1393 | + diss_n(k) & |
|---|
| 1394 | * ABS( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
|---|
| 1395 | / ( ABS( v_comp(k) - gv ) +1.0E-20 ) ) & |
|---|
| 1396 | * weight_substep(intermediate_timestep_count) |
|---|
| 1397 | ! |
|---|
| 1398 | !-- Statistical Evaluation of w'v'. |
|---|
| 1399 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
|---|
| 1400 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 1401 | * weight_substep(intermediate_timestep_count) |
|---|
| 1402 | |
|---|
| 1403 | ENDDO |
|---|
| 1404 | |
|---|
| 1405 | DO k = nzb_max+1, nzt |
|---|
| 1406 | |
|---|
| 1407 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
|---|
| 1408 | flux_r(k) = u_comp * ( & |
|---|
| 1409 | 37.0 * ( v(k,j,i+1) + v(k,j,i) ) & |
|---|
| 1410 | - 8.0 * ( v(k,j,i+2) + v(k,j,i-1) ) & |
|---|
| 1411 | + ( v(k,j,i+3) + v(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 1412 | |
|---|
| 1413 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 1414 | 10.0 * ( v(k,j,i+1) - v(k,j,i) ) & |
|---|
| 1415 | - 5.0 * ( v(k,j,i+2) - v(k,j,i-1) ) & |
|---|
| 1416 | + ( v(k,j,i+3) - v(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 1417 | |
|---|
| 1418 | |
|---|
| 1419 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
|---|
| 1420 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
|---|
| 1421 | 37.0 * ( v(k,j+1,i) + v(k,j,i) ) & |
|---|
| 1422 | - 8.0 * ( v(k,j+2,i) + v(k,j-1,i) ) & |
|---|
| 1423 | + ( v(k,j+3,i) + v(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 1424 | |
|---|
| 1425 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
|---|
| 1426 | 10.0 * ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 1427 | - 5.0 * ( v(k,j+2,i) - v(k,j-1,i) ) & |
|---|
| 1428 | + ( v(k,j+3,i) - v(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 1429 | ! |
|---|
| 1430 | !-- k index has to be modified near bottom and top, else array |
|---|
| 1431 | !-- subscripts will be exceeded. |
|---|
| 1432 | ibit26 = IBITS(wall_flags_0(k,j,i),26,1) |
|---|
| 1433 | ibit25 = IBITS(wall_flags_0(k,j,i),25,1) |
|---|
| 1434 | ibit24 = IBITS(wall_flags_0(k,j,i),24,1) |
|---|
| 1435 | |
|---|
| 1436 | k_ppp = k + 3 * ibit26 |
|---|
| 1437 | k_pp = k + 2 * ( 1 - ibit24 ) |
|---|
| 1438 | k_mm = k - 2 * ibit26 |
|---|
| 1439 | |
|---|
| 1440 | w_comp = w(k,j-1,i) + w(k,j,i) |
|---|
| 1441 | flux_t(k) = w_comp * ( & |
|---|
| 1442 | ( 37.0 * ibit26 * adv_mom_5 & |
|---|
| 1443 | + 7.0 * ibit25 * adv_mom_3 & |
|---|
| 1444 | + ibit24 * adv_mom_1 & |
|---|
| 1445 | ) * & |
|---|
| 1446 | ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 1447 | - ( 8.0 * ibit26 * adv_mom_5 & |
|---|
| 1448 | + ibit25 * adv_mom_3 & |
|---|
| 1449 | ) * & |
|---|
| 1450 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
|---|
| 1451 | + ( ibit26 * adv_mom_5 & |
|---|
| 1452 | ) * & |
|---|
| 1453 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
|---|
| 1454 | ) |
|---|
| 1455 | |
|---|
| 1456 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 1457 | ( 10.0 * ibit26 * adv_mom_5 & |
|---|
| 1458 | + 3.0 * ibit25 * adv_mom_3 & |
|---|
| 1459 | + ibit24 * adv_mom_1 & |
|---|
| 1460 | ) * & |
|---|
| 1461 | ( v(k+1,j,i) - v(k,j,i) ) & |
|---|
| 1462 | - ( 5.0 * ibit26 * adv_mom_5 & |
|---|
| 1463 | + ibit25 * adv_mom_3 & |
|---|
| 1464 | ) * & |
|---|
| 1465 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
|---|
| 1466 | + ( ibit26 * adv_mom_5 & |
|---|
| 1467 | ) * & |
|---|
| 1468 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
|---|
| 1469 | ) |
|---|
| 1470 | ! |
|---|
| 1471 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 1472 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 1473 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 1474 | div = ( ( u_comp + gu - ( u(k,j-1,i) + u(k,j,i) ) ) * ddx & |
|---|
| 1475 | + ( v_comp(k) - ( v(k,j,i) + v(k,j-1,i) ) ) * ddy & |
|---|
| 1476 | + ( w_comp - ( w(k-1,j-1,i) + w(k-1,j,i) ) ) * ddzw(k) & |
|---|
| 1477 | ) * 0.5 |
|---|
| 1478 | |
|---|
| 1479 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 1480 | ( flux_r(k) + diss_r(k) & |
|---|
| 1481 | - flux_l_v(k,j,tn) - diss_l_v(k,j,tn) ) * ddx & |
|---|
| 1482 | + ( flux_n(k) + diss_n(k) & |
|---|
| 1483 | - flux_s_v(k,tn) - diss_s_v(k,tn) ) * ddy & |
|---|
| 1484 | + ( flux_t(k) + diss_t(k) & |
|---|
| 1485 | - flux_d - diss_d ) * ddzw(k) & |
|---|
| 1486 | ) + v(k,j,i) * div |
|---|
| 1487 | |
|---|
| 1488 | flux_l_v(k,j,tn) = flux_r(k) |
|---|
| 1489 | diss_l_v(k,j,tn) = diss_r(k) |
|---|
| 1490 | flux_s_v(k,tn) = flux_n(k) |
|---|
| 1491 | diss_s_v(k,tn) = diss_n(k) |
|---|
| 1492 | flux_d = flux_t(k) |
|---|
| 1493 | diss_d = diss_t(k) |
|---|
| 1494 | |
|---|
| 1495 | ! |
|---|
| 1496 | !-- Statistical Evaluation of v'v'. The factor has to be applied for |
|---|
| 1497 | !-- right evaluation when gallilei_trans = .T. . |
|---|
| 1498 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
|---|
| 1499 | + ( flux_n(k) & |
|---|
| 1500 | * ( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
|---|
| 1501 | / ( v_comp(k) - gv + 1.0E-20 ) & |
|---|
| 1502 | + diss_n(k) & |
|---|
| 1503 | * ABS( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
|---|
| 1504 | / ( ABS( v_comp(k) - gv ) +1.0E-20 ) ) & |
|---|
| 1505 | * weight_substep(intermediate_timestep_count) |
|---|
| 1506 | ! |
|---|
| 1507 | !-- Statistical Evaluation of w'v'. |
|---|
| 1508 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
|---|
| 1509 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 1510 | * weight_substep(intermediate_timestep_count) |
|---|
| 1511 | |
|---|
| 1512 | ENDDO |
|---|
| 1513 | sums_vs2_ws_l(nzb,tn) = sums_vs2_ws_l(nzb+1,tn) |
|---|
| 1514 | |
|---|
| 1515 | |
|---|
| 1516 | END SUBROUTINE advec_v_ws_ij |
|---|
| 1517 | |
|---|
| 1518 | |
|---|
| 1519 | |
|---|
| 1520 | !------------------------------------------------------------------------------! |
|---|
| 1521 | ! Advection of w-component - Call for grid point i,j |
|---|
| 1522 | !------------------------------------------------------------------------------! |
|---|
| 1523 | SUBROUTINE advec_w_ws_ij( i, j, i_omp, tn ) |
|---|
| 1524 | |
|---|
| 1525 | USE arrays_3d |
|---|
| 1526 | USE constants |
|---|
| 1527 | USE control_parameters |
|---|
| 1528 | USE grid_variables |
|---|
| 1529 | USE indices |
|---|
| 1530 | USE statistics |
|---|
| 1531 | |
|---|
| 1532 | IMPLICIT NONE |
|---|
| 1533 | |
|---|
| 1534 | INTEGER :: i, ibit27, ibit28, ibit29, ibit30, ibit31, ibit32, ibit33, & |
|---|
| 1535 | ibit34, ibit35, i_omp, j, k, k_mm, k_pp, k_ppp, tn |
|---|
| 1536 | REAL :: diss_d, div, flux_d, gu, gv, u_comp, v_comp, w_comp |
|---|
| 1537 | REAL, DIMENSION(nzb:nzt+1) :: diss_n, diss_r, diss_t, flux_n, flux_r, & |
|---|
| 1538 | flux_t |
|---|
| 1539 | |
|---|
| 1540 | gu = 2.0 * u_gtrans |
|---|
| 1541 | gv = 2.0 * v_gtrans |
|---|
| 1542 | |
|---|
| 1543 | ! |
|---|
| 1544 | !-- Compute southside fluxes for the respective boundary. |
|---|
| 1545 | IF ( j == nys ) THEN |
|---|
| 1546 | |
|---|
| 1547 | DO k = nzb+1, nzb_max |
|---|
| 1548 | ibit32 = IBITS(wall_flags_0(k,j,i),32,1) |
|---|
| 1549 | ibit31 = IBITS(wall_flags_0(k,j,i),31,1) |
|---|
| 1550 | ibit30 = IBITS(wall_flags_0(k,j,i),30,1) |
|---|
| 1551 | |
|---|
| 1552 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
|---|
| 1553 | flux_s_w(k,tn) = v_comp * ( & |
|---|
| 1554 | ( 37.0 * ibit32 * adv_mom_5 & |
|---|
| 1555 | + 7.0 * ibit31 * adv_mom_3 & |
|---|
| 1556 | + ibit30 * adv_mom_1 & |
|---|
| 1557 | ) * & |
|---|
| 1558 | ( w(k,j,i) + w(k,j-1,i) ) & |
|---|
| 1559 | - ( 8.0 * ibit32 * adv_mom_5 & |
|---|
| 1560 | + ibit31 * adv_mom_3 & |
|---|
| 1561 | ) * & |
|---|
| 1562 | ( w(k,j+1,i) + w(k,j-2,i) ) & |
|---|
| 1563 | + ( ibit32 * adv_mom_5 & |
|---|
| 1564 | ) * & |
|---|
| 1565 | ( w(k,j+2,i) + w(k,j-3,i) ) & |
|---|
| 1566 | ) |
|---|
| 1567 | |
|---|
| 1568 | diss_s_w(k,tn) = - ABS( v_comp ) * ( & |
|---|
| 1569 | ( 10.0 * ibit32 * adv_mom_5 & |
|---|
| 1570 | + 3.0 * ibit31 * adv_mom_3 & |
|---|
| 1571 | + ibit30 * adv_mom_1 & |
|---|
| 1572 | ) * & |
|---|
| 1573 | ( w(k,j,i) - w(k,j-1,i) ) & |
|---|
| 1574 | - ( 5.0 * ibit32 * adv_mom_5 & |
|---|
| 1575 | + ibit31 * adv_mom_3 & |
|---|
| 1576 | ) * & |
|---|
| 1577 | ( w(k,j+1,i) - w(k,j-2,i) ) & |
|---|
| 1578 | + ( ibit32 * adv_mom_5 & |
|---|
| 1579 | ) * & |
|---|
| 1580 | ( w(k,j+2,i) - w(k,j-3,i) ) & |
|---|
| 1581 | ) |
|---|
| 1582 | |
|---|
| 1583 | ENDDO |
|---|
| 1584 | |
|---|
| 1585 | DO k = nzb_max+1, nzt |
|---|
| 1586 | |
|---|
| 1587 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
|---|
| 1588 | flux_s_w(k,tn) = v_comp * ( & |
|---|
| 1589 | 37.0 * ( w(k,j,i) + w(k,j-1,i) ) & |
|---|
| 1590 | - 8.0 * ( w(k,j+1,i) +w(k,j-2,i) ) & |
|---|
| 1591 | + ( w(k,j+2,i) + w(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 1592 | diss_s_w(k,tn) = - ABS( v_comp ) * ( & |
|---|
| 1593 | 10.0 * ( w(k,j,i) - w(k,j-1,i) ) & |
|---|
| 1594 | - 5.0 * ( w(k,j+1,i) - w(k,j-2,i) ) & |
|---|
| 1595 | + ( w(k,j+2,i) - w(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 1596 | |
|---|
| 1597 | ENDDO |
|---|
| 1598 | |
|---|
| 1599 | ENDIF |
|---|
| 1600 | ! |
|---|
| 1601 | !-- Compute leftside fluxes for the respective boundary. |
|---|
| 1602 | IF ( i == i_omp ) THEN |
|---|
| 1603 | |
|---|
| 1604 | DO k = nzb+1, nzb_max |
|---|
| 1605 | |
|---|
| 1606 | ibit29 = IBITS(wall_flags_0(k,j,i),29,1) |
|---|
| 1607 | ibit28 = IBITS(wall_flags_0(k,j,i),28,1) |
|---|
| 1608 | ibit27 = IBITS(wall_flags_0(k,j,i),27,1) |
|---|
| 1609 | |
|---|
| 1610 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
|---|
| 1611 | flux_l_w(k,j,tn) = u_comp * ( & |
|---|
| 1612 | ( 37.0 * ibit29 * adv_mom_5 & |
|---|
| 1613 | + 7.0 * ibit28 * adv_mom_3 & |
|---|
| 1614 | + ibit27 * adv_mom_1 & |
|---|
| 1615 | ) * & |
|---|
| 1616 | ( w(k,j,i) + w(k,j,i-1) ) & |
|---|
| 1617 | - ( 8.0 * ibit29 * adv_mom_5 & |
|---|
| 1618 | + ibit28 * adv_mom_3 & |
|---|
| 1619 | ) * & |
|---|
| 1620 | ( w(k,j,i+1) + w(k,j,i-2) ) & |
|---|
| 1621 | + ( ibit29 * adv_mom_5 & |
|---|
| 1622 | ) * & |
|---|
| 1623 | ( w(k,j,i+2) + w(k,j,i-3) ) & |
|---|
| 1624 | ) |
|---|
| 1625 | |
|---|
| 1626 | diss_l_w(k,j,tn) = - ABS( u_comp ) * ( & |
|---|
| 1627 | ( 10.0 * ibit29 * adv_mom_5 & |
|---|
| 1628 | + 3.0 * ibit28 * adv_mom_3 & |
|---|
| 1629 | + ibit27 * adv_mom_1 & |
|---|
| 1630 | ) * & |
|---|
| 1631 | ( w(k,j,i) - w(k,j,i-1) ) & |
|---|
| 1632 | - ( 5.0 * ibit29 * adv_mom_5 & |
|---|
| 1633 | + ibit28 * adv_mom_3 & |
|---|
| 1634 | ) * & |
|---|
| 1635 | ( w(k,j,i+1) - w(k,j,i-2) ) & |
|---|
| 1636 | + ( ibit29 * adv_mom_5 & |
|---|
| 1637 | ) * & |
|---|
| 1638 | ( w(k,j,i+2) - w(k,j,i-3) ) & |
|---|
| 1639 | ) |
|---|
| 1640 | |
|---|
| 1641 | ENDDO |
|---|
| 1642 | |
|---|
| 1643 | DO k = nzb_max+1, nzt |
|---|
| 1644 | |
|---|
| 1645 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
|---|
| 1646 | flux_l_w(k,j,tn) = u_comp * ( & |
|---|
| 1647 | 37.0 * ( w(k,j,i) + w(k,j,i-1) ) & |
|---|
| 1648 | - 8.0 * ( w(k,j,i+1) + w(k,j,i-2) ) & |
|---|
| 1649 | + ( w(k,j,i+2) + w(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 1650 | diss_l_w(k,j,tn) = - ABS( u_comp ) * ( & |
|---|
| 1651 | 10.0 * ( w(k,j,i) - w(k,j,i-1) ) & |
|---|
| 1652 | - 5.0 * ( w(k,j,i+1) - w(k,j,i-2) ) & |
|---|
| 1653 | + ( w(k,j,i+2) - w(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 1654 | |
|---|
| 1655 | ENDDO |
|---|
| 1656 | |
|---|
| 1657 | ENDIF |
|---|
| 1658 | ! |
|---|
| 1659 | !-- The lower flux has to be calculated explicetely for the tendency at |
|---|
| 1660 | !-- the first w-level. For topography wall this is done implicitely by |
|---|
| 1661 | !-- wall_flags_0. |
|---|
| 1662 | k = nzb + 1 |
|---|
| 1663 | w_comp = w(k,j,i) + w(k-1,j,i) |
|---|
| 1664 | flux_t(0) = w_comp * ( w(k,j,i) + w(k-1,j,i) ) * adv_mom_1 |
|---|
| 1665 | diss_t(0) = -ABS(w_comp) * ( w(k,j,i) - w(k-1,j,i) ) * adv_mom_1 |
|---|
| 1666 | flux_d = flux_t(0) |
|---|
| 1667 | diss_d = diss_t(0) |
|---|
| 1668 | ! |
|---|
| 1669 | !-- Now compute the fluxes and tendency terms for the horizontal |
|---|
| 1670 | !-- and vertical parts. |
|---|
| 1671 | DO k = nzb+1, nzb_max |
|---|
| 1672 | |
|---|
| 1673 | ibit29 = IBITS(wall_flags_0(k,j,i),29,1) |
|---|
| 1674 | ibit28 = IBITS(wall_flags_0(k,j,i),28,1) |
|---|
| 1675 | ibit27 = IBITS(wall_flags_0(k,j,i),27,1) |
|---|
| 1676 | |
|---|
| 1677 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
|---|
| 1678 | flux_r(k) = u_comp * ( & |
|---|
| 1679 | ( 37.0 * ibit29 * adv_mom_5 & |
|---|
| 1680 | + 7.0 * ibit28 * adv_mom_3 & |
|---|
| 1681 | + ibit27 * adv_mom_1 & |
|---|
| 1682 | ) * & |
|---|
| 1683 | ( w(k,j,i+1) + w(k,j,i) ) & |
|---|
| 1684 | - ( 8.0 * ibit29 * adv_mom_5 & |
|---|
| 1685 | + ibit28 * adv_mom_3 & |
|---|
| 1686 | ) * & |
|---|
| 1687 | ( w(k,j,i+2) + w(k,j,i-1) ) & |
|---|
| 1688 | + ( ibit29 * adv_mom_5 & |
|---|
| 1689 | ) * & |
|---|
| 1690 | ( w(k,j,i+3) + w(k,j,i-2) ) & |
|---|
| 1691 | ) |
|---|
| 1692 | |
|---|
| 1693 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 1694 | ( 10.0 * ibit29 * adv_mom_5 & |
|---|
| 1695 | + 3.0 * ibit28 * adv_mom_3 & |
|---|
| 1696 | + ibit27 * adv_mom_1 & |
|---|
| 1697 | ) * & |
|---|
| 1698 | ( w(k,j,i+1) - w(k,j,i) ) & |
|---|
| 1699 | - ( 5.0 * ibit29 * adv_mom_5 & |
|---|
| 1700 | + ibit28 * adv_mom_3 & |
|---|
| 1701 | ) * & |
|---|
| 1702 | ( w(k,j,i+2) - w(k,j,i-1) ) & |
|---|
| 1703 | + ( ibit29 * adv_mom_5 & |
|---|
| 1704 | ) * & |
|---|
| 1705 | ( w(k,j,i+3) - w(k,j,i-2) ) & |
|---|
| 1706 | ) |
|---|
| 1707 | |
|---|
| 1708 | ibit32 = IBITS(wall_flags_0(k,j,i),32,1) |
|---|
| 1709 | ibit31 = IBITS(wall_flags_0(k,j,i),31,1) |
|---|
| 1710 | ibit30 = IBITS(wall_flags_0(k,j,i),30,1) |
|---|
| 1711 | |
|---|
| 1712 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
|---|
| 1713 | flux_n(k) = v_comp * ( & |
|---|
| 1714 | ( 37.0 * ibit32 * adv_mom_5 & |
|---|
| 1715 | + 7.0 * ibit31 * adv_mom_3 & |
|---|
| 1716 | + ibit30 * adv_mom_1 & |
|---|
| 1717 | ) * & |
|---|
| 1718 | ( w(k,j+1,i) + w(k,j,i) ) & |
|---|
| 1719 | - ( 8.0 * ibit32 * adv_mom_5 & |
|---|
| 1720 | + ibit31 * adv_mom_3 & |
|---|
| 1721 | ) * & |
|---|
| 1722 | ( w(k,j+2,i) + w(k,j-1,i) ) & |
|---|
| 1723 | + ( ibit32 * adv_mom_5 & |
|---|
| 1724 | ) * & |
|---|
| 1725 | ( w(k,j+3,i) + w(k,j-2,i) ) & |
|---|
| 1726 | ) |
|---|
| 1727 | |
|---|
| 1728 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 1729 | ( 10.0 * ibit32 * adv_mom_5 & |
|---|
| 1730 | + 3.0 * ibit31 * adv_mom_3 & |
|---|
| 1731 | + ibit30 * adv_mom_1 & |
|---|
| 1732 | ) * & |
|---|
| 1733 | ( w(k,j+1,i) - w(k,j,i) ) & |
|---|
| 1734 | - ( 5.0 * ibit32 * adv_mom_5 & |
|---|
| 1735 | + ibit31 * adv_mom_3 & |
|---|
| 1736 | ) * & |
|---|
| 1737 | ( w(k,j+2,i) - w(k,j-1,i) ) & |
|---|
| 1738 | + ( ibit32 * adv_mom_5 & |
|---|
| 1739 | ) * & |
|---|
| 1740 | ( w(k,j+3,i) - w(k,j-2,i) ) & |
|---|
| 1741 | ) |
|---|
| 1742 | ! |
|---|
| 1743 | !-- k index has to be modified near bottom and top, else array |
|---|
| 1744 | !-- subscripts will be exceeded. |
|---|
| 1745 | ibit35 = IBITS(wall_flags_0(k,j,i),35,1) |
|---|
| 1746 | ibit34 = IBITS(wall_flags_0(k,j,i),34,1) |
|---|
| 1747 | ibit33 = IBITS(wall_flags_0(k,j,i),33,1) |
|---|
| 1748 | |
|---|
| 1749 | k_ppp = k + 3 * ibit35 |
|---|
| 1750 | k_pp = k + 2 * ( 1 - ibit33 ) |
|---|
| 1751 | k_mm = k - 2 * ibit35 |
|---|
| 1752 | |
|---|
| 1753 | w_comp = w(k+1,j,i) + w(k,j,i) |
|---|
| 1754 | flux_t(k) = w_comp * ( & |
|---|
| 1755 | ( 37.0 * ibit35 * adv_mom_5 & |
|---|
| 1756 | + 7.0 * ibit34 * adv_mom_3 & |
|---|
| 1757 | + ibit33 * adv_mom_1 & |
|---|
| 1758 | ) * & |
|---|
| 1759 | ( w(k+1,j,i) + w(k,j,i) ) & |
|---|
| 1760 | - ( 8.0 * ibit35 * adv_mom_5 & |
|---|
| 1761 | + ibit34 * adv_mom_3 & |
|---|
| 1762 | ) * & |
|---|
| 1763 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
|---|
| 1764 | + ( ibit35 * adv_mom_5 & |
|---|
| 1765 | ) * & |
|---|
| 1766 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
|---|
| 1767 | ) |
|---|
| 1768 | |
|---|
| 1769 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 1770 | ( 10.0 * ibit35 * adv_mom_5 & |
|---|
| 1771 | + 3.0 * ibit34 * adv_mom_3 & |
|---|
| 1772 | + ibit33 * adv_mom_1 & |
|---|
| 1773 | ) * & |
|---|
| 1774 | ( w(k+1,j,i) - w(k,j,i) ) & |
|---|
| 1775 | - ( 5.0 * ibit35 * adv_mom_5 & |
|---|
| 1776 | + ibit34 * adv_mom_3 & |
|---|
| 1777 | ) * & |
|---|
| 1778 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
|---|
| 1779 | + ( ibit35 * adv_mom_5 & |
|---|
| 1780 | ) * & |
|---|
| 1781 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
|---|
| 1782 | ) |
|---|
| 1783 | |
|---|
| 1784 | ! |
|---|
| 1785 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 1786 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 1787 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 1788 | div = ( ( u_comp + gu - ( u(k+1,j,i) + u(k,j,i) ) ) * ddx & |
|---|
| 1789 | + ( v_comp + gv - ( v(k+1,j,i) + v(k,j,i) ) ) * ddy & |
|---|
| 1790 | + ( w_comp - ( w(k,j,i) + w(k-1,j,i) ) ) * ddzu(k+1) & |
|---|
| 1791 | ) * 0.5 |
|---|
| 1792 | |
|---|
| 1793 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 1794 | ( flux_r(k) + diss_r(k) & |
|---|
| 1795 | - flux_l_w(k,j,tn) - diss_l_w(k,j,tn) ) * ddx & |
|---|
| 1796 | + ( flux_n(k) + diss_n(k) & |
|---|
| 1797 | - flux_s_w(k,tn) - diss_s_w(k,tn) ) * ddy & |
|---|
| 1798 | + ( flux_t(k) + diss_t(k) & |
|---|
| 1799 | - flux_d - diss_d ) * ddzu(k+1) & |
|---|
| 1800 | ) + div * w(k,j,i) |
|---|
| 1801 | |
|---|
| 1802 | flux_l_w(k,j,tn) = flux_r(k) |
|---|
| 1803 | diss_l_w(k,j,tn) = diss_r(k) |
|---|
| 1804 | flux_s_w(k,tn) = flux_n(k) |
|---|
| 1805 | diss_s_w(k,tn) = diss_n(k) |
|---|
| 1806 | flux_d = flux_t(k) |
|---|
| 1807 | diss_d = diss_t(k) |
|---|
| 1808 | ! |
|---|
| 1809 | !-- Statistical Evaluation of w'w'. |
|---|
| 1810 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
|---|
| 1811 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 1812 | * weight_substep(intermediate_timestep_count) |
|---|
| 1813 | |
|---|
| 1814 | ENDDO |
|---|
| 1815 | |
|---|
| 1816 | DO k = nzb_max+1, nzt |
|---|
| 1817 | |
|---|
| 1818 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
|---|
| 1819 | flux_r(k) = u_comp * ( & |
|---|
| 1820 | 37.0 * ( w(k,j,i+1) + w(k,j,i) ) & |
|---|
| 1821 | - 8.0 * ( w(k,j,i+2) + w(k,j,i-1) ) & |
|---|
| 1822 | + ( w(k,j,i+3) + w(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 1823 | |
|---|
| 1824 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 1825 | 10.0 * ( w(k,j,i+1) - w(k,j,i) ) & |
|---|
| 1826 | - 5.0 * ( w(k,j,i+2) - w(k,j,i-1) ) & |
|---|
| 1827 | + ( w(k,j,i+3) - w(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 1828 | |
|---|
| 1829 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
|---|
| 1830 | flux_n(k) = v_comp * ( & |
|---|
| 1831 | 37.0 * ( w(k,j+1,i) + w(k,j,i) ) & |
|---|
| 1832 | - 8.0 * ( w(k,j+2,i) + w(k,j-1,i) ) & |
|---|
| 1833 | + ( w(k,j+3,i) + w(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 1834 | |
|---|
| 1835 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 1836 | 10.0 * ( w(k,j+1,i) - w(k,j,i) ) & |
|---|
| 1837 | - 5.0 * ( w(k,j+2,i) - w(k,j-1,i) ) & |
|---|
| 1838 | + ( w(k,j+3,i) - w(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 1839 | ! |
|---|
| 1840 | !-- k index has to be modified near bottom and top, else array |
|---|
| 1841 | !-- subscripts will be exceeded. |
|---|
| 1842 | ibit35 = IBITS(wall_flags_0(k,j,i),35,1) |
|---|
| 1843 | ibit34 = IBITS(wall_flags_0(k,j,i),34,1) |
|---|
| 1844 | ibit33 = IBITS(wall_flags_0(k,j,i),33,1) |
|---|
| 1845 | |
|---|
| 1846 | k_ppp = k + 3 * ibit35 |
|---|
| 1847 | k_pp = k + 2 * ( 1 - ibit33 ) |
|---|
| 1848 | k_mm = k - 2 * ibit35 |
|---|
| 1849 | |
|---|
| 1850 | w_comp = w(k+1,j,i) + w(k,j,i) |
|---|
| 1851 | flux_t(k) = w_comp * ( & |
|---|
| 1852 | ( 37.0 * ibit35 * adv_mom_5 & |
|---|
| 1853 | + 7.0 * ibit34 * adv_mom_3 & |
|---|
| 1854 | + ibit33 * adv_mom_1 & |
|---|
| 1855 | ) * & |
|---|
| 1856 | ( w(k+1,j,i) + w(k,j,i) ) & |
|---|
| 1857 | - ( 8.0 * ibit35 * adv_mom_5 & |
|---|
| 1858 | + ibit34 * adv_mom_3 & |
|---|
| 1859 | ) * & |
|---|
| 1860 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
|---|
| 1861 | + ( ibit35 * adv_mom_5 & |
|---|
| 1862 | ) * & |
|---|
| 1863 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
|---|
| 1864 | ) |
|---|
| 1865 | |
|---|
| 1866 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 1867 | ( 10.0 * ibit35 * adv_mom_5 & |
|---|
| 1868 | + 3.0 * ibit34 * adv_mom_3 & |
|---|
| 1869 | + ibit33 * adv_mom_1 & |
|---|
| 1870 | ) * & |
|---|
| 1871 | ( w(k+1,j,i) - w(k,j,i) ) & |
|---|
| 1872 | - ( 5.0 * ibit35 * adv_mom_5 & |
|---|
| 1873 | + ibit34 * adv_mom_3 & |
|---|
| 1874 | ) * & |
|---|
| 1875 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
|---|
| 1876 | + ( ibit35 * adv_mom_5 & |
|---|
| 1877 | ) * & |
|---|
| 1878 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
|---|
| 1879 | ) |
|---|
| 1880 | ! |
|---|
| 1881 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 1882 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 1883 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 1884 | div = ( ( u_comp + gu - ( u(k+1,j,i) + u(k,j,i) ) ) * ddx & |
|---|
| 1885 | + ( v_comp + gv - ( v(k+1,j,i) + v(k,j,i) ) ) * ddy & |
|---|
| 1886 | + ( w_comp - ( w(k,j,i) + w(k-1,j,i) ) ) * ddzu(k+1) & |
|---|
| 1887 | ) * 0.5 |
|---|
| 1888 | |
|---|
| 1889 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 1890 | ( flux_r(k) + diss_r(k) & |
|---|
| 1891 | - flux_l_w(k,j,tn) - diss_l_w(k,j,tn) ) * ddx & |
|---|
| 1892 | + ( flux_n(k) + diss_n(k) & |
|---|
| 1893 | - flux_s_w(k,tn) - diss_s_w(k,tn) ) * ddy & |
|---|
| 1894 | + ( flux_t(k) + diss_t(k) & |
|---|
| 1895 | - flux_d - diss_d ) * ddzu(k+1) & |
|---|
| 1896 | ) + div * w(k,j,i) |
|---|
| 1897 | |
|---|
| 1898 | flux_l_w(k,j,tn) = flux_r(k) |
|---|
| 1899 | diss_l_w(k,j,tn) = diss_r(k) |
|---|
| 1900 | flux_s_w(k,tn) = flux_n(k) |
|---|
| 1901 | diss_s_w(k,tn) = diss_n(k) |
|---|
| 1902 | flux_d = flux_t(k) |
|---|
| 1903 | diss_d = diss_t(k) |
|---|
| 1904 | ! |
|---|
| 1905 | !-- Statistical Evaluation of w'w'. |
|---|
| 1906 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
|---|
| 1907 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 1908 | * weight_substep(intermediate_timestep_count) |
|---|
| 1909 | |
|---|
| 1910 | ENDDO |
|---|
| 1911 | |
|---|
| 1912 | |
|---|
| 1913 | END SUBROUTINE advec_w_ws_ij |
|---|
| 1914 | |
|---|
| 1915 | |
|---|
| 1916 | !------------------------------------------------------------------------------! |
|---|
| 1917 | ! Scalar advection - Call for all grid points |
|---|
| 1918 | !------------------------------------------------------------------------------! |
|---|
| 1919 | SUBROUTINE advec_s_ws( sk, sk_char ) |
|---|
| 1920 | |
|---|
| 1921 | USE arrays_3d |
|---|
| 1922 | USE constants |
|---|
| 1923 | USE control_parameters |
|---|
| 1924 | USE grid_variables |
|---|
| 1925 | USE indices |
|---|
| 1926 | USE statistics |
|---|
| 1927 | |
|---|
| 1928 | IMPLICIT NONE |
|---|
| 1929 | |
|---|
| 1930 | INTEGER :: i, ibit0, ibit1, ibit2, ibit3, ibit4, ibit5, ibit6, & |
|---|
| 1931 | ibit7, ibit8, j, k, k_mm, k_pp, k_ppp, tn = 0 |
|---|
| 1932 | REAL, DIMENSION(:,:,:), POINTER :: sk |
|---|
| 1933 | REAL :: diss_d, div, flux_d, u_comp, v_comp |
|---|
| 1934 | REAL, DIMENSION(nzb:nzt) :: diss_n, diss_r, diss_t, flux_n, flux_r, & |
|---|
| 1935 | flux_t |
|---|
| 1936 | REAL, DIMENSION(nzb+1:nzt) :: swap_diss_y_local, swap_flux_y_local |
|---|
| 1937 | REAL, DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local, & |
|---|
| 1938 | swap_flux_x_local |
|---|
| 1939 | CHARACTER (LEN = *), INTENT(IN) :: sk_char |
|---|
| 1940 | |
|---|
| 1941 | ! |
|---|
| 1942 | !-- Compute the fluxes for the whole left boundary of the processor domain. |
|---|
| 1943 | i = nxl |
|---|
| 1944 | DO j = nys, nyn |
|---|
| 1945 | |
|---|
| 1946 | DO k = nzb+1, nzb_max |
|---|
| 1947 | |
|---|
| 1948 | ibit2 = IBITS(wall_flags_0(k,j,i),2,1) |
|---|
| 1949 | ibit1 = IBITS(wall_flags_0(k,j,i),1,1) |
|---|
| 1950 | ibit0 = IBITS(wall_flags_0(k,j,i),0,1) |
|---|
| 1951 | |
|---|
| 1952 | u_comp = u(k,j,i) - u_gtrans |
|---|
| 1953 | swap_flux_x_local(k,j) = u_comp * ( & |
|---|
| 1954 | ( 37.0 * ibit2 * adv_sca_5 & |
|---|
| 1955 | + 7.0 * ibit1 * adv_sca_3 & |
|---|
| 1956 | + ibit0 * adv_sca_1 & |
|---|
| 1957 | ) * & |
|---|
| 1958 | ( sk(k,j,i) + sk(k,j,i-1) ) & |
|---|
| 1959 | - ( 8.0 * ibit2 * adv_sca_5 & |
|---|
| 1960 | + ibit1 * adv_sca_3 & |
|---|
| 1961 | ) * & |
|---|
| 1962 | ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
|---|
| 1963 | + ( ibit2 * adv_sca_5 & |
|---|
| 1964 | ) * & |
|---|
| 1965 | ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
|---|
| 1966 | ) |
|---|
| 1967 | |
|---|
| 1968 | swap_diss_x_local(k,j) = -ABS( u_comp ) * ( & |
|---|
| 1969 | ( 10.0 * ibit2 * adv_sca_5 & |
|---|
| 1970 | + 3.0 * ibit1 * adv_sca_3 & |
|---|
| 1971 | + ibit0 * adv_sca_1 & |
|---|
| 1972 | ) * & |
|---|
| 1973 | ( sk(k,j,i) - sk(k,j,i-1) ) & |
|---|
| 1974 | - ( 5.0 * ibit2 * adv_sca_5 & |
|---|
| 1975 | + ibit1 * adv_sca_3 & |
|---|
| 1976 | ) * & |
|---|
| 1977 | ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
|---|
| 1978 | + ( ibit2 * adv_sca_5 & |
|---|
| 1979 | ) * & |
|---|
| 1980 | ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
|---|
| 1981 | ) |
|---|
| 1982 | |
|---|
| 1983 | ENDDO |
|---|
| 1984 | |
|---|
| 1985 | DO k = nzb_max+1, nzt |
|---|
| 1986 | |
|---|
| 1987 | u_comp = u(k,j,i) - u_gtrans |
|---|
| 1988 | swap_flux_x_local(k,j) = u_comp * ( & |
|---|
| 1989 | 37.0 * ( sk(k,j,i) + sk(k,j,i-1) ) & |
|---|
| 1990 | - 8.0 * ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
|---|
| 1991 | + ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
|---|
| 1992 | ) * adv_sca_5 |
|---|
| 1993 | |
|---|
| 1994 | swap_diss_x_local(k,j) = -ABS( u_comp ) * ( & |
|---|
| 1995 | 10.0 * ( sk(k,j,i) - sk(k,j,i-1) ) & |
|---|
| 1996 | - 5.0 * ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
|---|
| 1997 | + ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
|---|
| 1998 | ) * adv_sca_5 |
|---|
| 1999 | |
|---|
| 2000 | ENDDO |
|---|
| 2001 | |
|---|
| 2002 | ENDDO |
|---|
| 2003 | |
|---|
| 2004 | DO i = nxl, nxr |
|---|
| 2005 | |
|---|
| 2006 | j = nys |
|---|
| 2007 | DO k = nzb+1, nzb_max |
|---|
| 2008 | |
|---|
| 2009 | ibit5 = IBITS(wall_flags_0(k,j,i),5,1) |
|---|
| 2010 | ibit4 = IBITS(wall_flags_0(k,j,i),4,1) |
|---|
| 2011 | ibit3 = IBITS(wall_flags_0(k,j,i),3,1) |
|---|
| 2012 | |
|---|
| 2013 | v_comp = v(k,j,i) - v_gtrans |
|---|
| 2014 | swap_flux_y_local(k) = v_comp * ( & |
|---|
| 2015 | ( 37.0 * ibit5 * adv_sca_5 & |
|---|
| 2016 | + 7.0 * ibit4 * adv_sca_3 & |
|---|
| 2017 | + ibit3 * adv_sca_1 & |
|---|
| 2018 | ) * & |
|---|
| 2019 | ( sk(k,j,i) + sk(k,j-1,i) ) & |
|---|
| 2020 | - ( 8.0 * ibit5 * adv_sca_5 & |
|---|
| 2021 | + ibit4 * adv_sca_3 & |
|---|
| 2022 | ) * & |
|---|
| 2023 | ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
|---|
| 2024 | + ( ibit5 * adv_sca_5 & |
|---|
| 2025 | ) * & |
|---|
| 2026 | ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
|---|
| 2027 | ) |
|---|
| 2028 | |
|---|
| 2029 | swap_diss_y_local(k) = -ABS( v_comp ) * ( & |
|---|
| 2030 | ( 10.0 * ibit5 * adv_sca_5 & |
|---|
| 2031 | + 3.0 * ibit4 * adv_sca_3 & |
|---|
| 2032 | + ibit3 * adv_sca_1 & |
|---|
| 2033 | ) * & |
|---|
| 2034 | ( sk(k,j,i) - sk(k,j-1,i) ) & |
|---|
| 2035 | - ( 5.0 * ibit5 * adv_sca_5 & |
|---|
| 2036 | + ibit4 * adv_sca_3 & |
|---|
| 2037 | ) * & |
|---|
| 2038 | ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
|---|
| 2039 | + ( ibit5 * adv_sca_5 & |
|---|
| 2040 | ) * & |
|---|
| 2041 | ( sk(k,j+2,i) - sk(k,j-3,i) ) & |
|---|
| 2042 | ) |
|---|
| 2043 | |
|---|
| 2044 | ENDDO |
|---|
| 2045 | ! |
|---|
| 2046 | !-- Above to the top of the highest topography. No degradation necessary. |
|---|
| 2047 | DO k = nzb_max+1, nzt |
|---|
| 2048 | |
|---|
| 2049 | v_comp = v(k,j,i) - v_gtrans |
|---|
| 2050 | swap_flux_y_local(k) = v_comp * ( & |
|---|
| 2051 | 37.0 * ( sk(k,j,i) + sk(k,j-1,i) ) & |
|---|
| 2052 | - 8.0 * ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
|---|
| 2053 | + ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
|---|
| 2054 | ) * adv_sca_5 |
|---|
| 2055 | swap_diss_y_local(k) = -ABS( v_comp ) * ( & |
|---|
| 2056 | 10.0 * ( sk(k,j,i) - sk(k,j-1,i) ) & |
|---|
| 2057 | - 5.0 * ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
|---|
| 2058 | + sk(k,j+2,i) - sk(k,j-3,i) & |
|---|
| 2059 | ) * adv_sca_5 |
|---|
| 2060 | |
|---|
| 2061 | ENDDO |
|---|
| 2062 | |
|---|
| 2063 | DO j = nys, nyn |
|---|
| 2064 | |
|---|
| 2065 | flux_t(0) = 0.0 |
|---|
| 2066 | diss_t(0) = 0.0 |
|---|
| 2067 | flux_d = 0.0 |
|---|
| 2068 | diss_d = 0.0 |
|---|
| 2069 | |
|---|
| 2070 | DO k = nzb+1, nzb_max |
|---|
| 2071 | |
|---|
| 2072 | ibit2 = IBITS(wall_flags_0(k,j,i),2,1) |
|---|
| 2073 | ibit1 = IBITS(wall_flags_0(k,j,i),1,1) |
|---|
| 2074 | ibit0 = IBITS(wall_flags_0(k,j,i),0,1) |
|---|
| 2075 | |
|---|
| 2076 | u_comp = u(k,j,i+1) - u_gtrans |
|---|
| 2077 | flux_r(k) = u_comp * ( & |
|---|
| 2078 | ( 37.0 * ibit2 * adv_sca_5 & |
|---|
| 2079 | + 7.0 * ibit1 * adv_sca_3 & |
|---|
| 2080 | + ibit0 * adv_sca_1 & |
|---|
| 2081 | ) * & |
|---|
| 2082 | ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 2083 | - ( 8.0 * ibit2 * adv_sca_5 & |
|---|
| 2084 | + ibit1 * adv_sca_3 & |
|---|
| 2085 | ) * & |
|---|
| 2086 | ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
|---|
| 2087 | + ( ibit2 * adv_sca_5 & |
|---|
| 2088 | ) * & |
|---|
| 2089 | ( sk(k,j,i+3) + sk(k,j,i-2) ) & |
|---|
| 2090 | ) |
|---|
| 2091 | |
|---|
| 2092 | diss_r(k) = -ABS( u_comp ) * ( & |
|---|
| 2093 | ( 10.0 * ibit2 * adv_sca_5 & |
|---|
| 2094 | + 3.0 * ibit1 * adv_sca_3 & |
|---|
| 2095 | + ibit0 * adv_sca_1 & |
|---|
| 2096 | ) * & |
|---|
| 2097 | ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 2098 | - ( 5.0 * ibit2 * adv_sca_5 & |
|---|
| 2099 | + ibit1 * adv_sca_3 & |
|---|
| 2100 | ) * & |
|---|
| 2101 | ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
|---|
| 2102 | + ( ibit2 * adv_sca_5 & |
|---|
| 2103 | ) * & |
|---|
| 2104 | ( sk(k,j,i+3) - sk(k,j,i-2) ) & |
|---|
| 2105 | ) |
|---|
| 2106 | |
|---|
| 2107 | ibit5 = IBITS(wall_flags_0(k,j,i),5,1) |
|---|
| 2108 | ibit4 = IBITS(wall_flags_0(k,j,i),4,1) |
|---|
| 2109 | ibit3 = IBITS(wall_flags_0(k,j,i),3,1) |
|---|
| 2110 | |
|---|
| 2111 | v_comp = v(k,j+1,i) - v_gtrans |
|---|
| 2112 | flux_n(k) = v_comp * ( & |
|---|
| 2113 | ( 37.0 * ibit5 * adv_sca_5 & |
|---|
| 2114 | + 7.0 * ibit4 * adv_sca_3 & |
|---|
| 2115 | + ibit3 * adv_sca_1 & |
|---|
| 2116 | ) * & |
|---|
| 2117 | ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 2118 | - ( 8.0 * ibit5 * adv_sca_5 & |
|---|
| 2119 | + ibit4 * adv_sca_3 & |
|---|
| 2120 | ) * & |
|---|
| 2121 | ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
|---|
| 2122 | + ( ibit5 * adv_sca_5 & |
|---|
| 2123 | ) * & |
|---|
| 2124 | ( sk(k,j+3,i) + sk(k,j-2,i) ) & |
|---|
| 2125 | ) |
|---|
| 2126 | |
|---|
| 2127 | diss_n(k) = -ABS( v_comp ) * ( & |
|---|
| 2128 | ( 10.0 * ibit5 * adv_sca_5 & |
|---|
| 2129 | + 3.0 * ibit4 * adv_sca_3 & |
|---|
| 2130 | + ibit3 * adv_sca_1 & |
|---|
| 2131 | ) * & |
|---|
| 2132 | ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 2133 | - ( 5.0 * ibit5 * adv_sca_5 & |
|---|
| 2134 | + ibit4 * adv_sca_3 & |
|---|
| 2135 | ) * & |
|---|
| 2136 | ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
|---|
| 2137 | + ( ibit5 * adv_sca_5 & |
|---|
| 2138 | ) * & |
|---|
| 2139 | ( sk(k,j+3,i) - sk(k,j-2,i) ) & |
|---|
| 2140 | ) |
|---|
| 2141 | ! |
|---|
| 2142 | !-- k index has to be modified near bottom and top, else array |
|---|
| 2143 | !-- subscripts will be exceeded. |
|---|
| 2144 | ibit8 = IBITS(wall_flags_0(k,j,i),8,1) |
|---|
| 2145 | ibit7 = IBITS(wall_flags_0(k,j,i),7,1) |
|---|
| 2146 | ibit6 = IBITS(wall_flags_0(k,j,i),6,1) |
|---|
| 2147 | |
|---|
| 2148 | k_ppp = k + 3 * ibit8 |
|---|
| 2149 | k_pp = k + 2 * ( 1 - ibit6 ) |
|---|
| 2150 | k_mm = k - 2 * ibit8 |
|---|
| 2151 | |
|---|
| 2152 | |
|---|
| 2153 | flux_t(k) = w(k,j,i) * ( & |
|---|
| 2154 | ( 37.0 * ibit8 * adv_sca_5 & |
|---|
| 2155 | + 7.0 * ibit7 * adv_sca_3 & |
|---|
| 2156 | + ibit6 * adv_sca_1 & |
|---|
| 2157 | ) * & |
|---|
| 2158 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 2159 | - ( 8.0 * ibit8 * adv_sca_5 & |
|---|
| 2160 | + ibit7 * adv_sca_3 & |
|---|
| 2161 | ) * & |
|---|
| 2162 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
|---|
| 2163 | + ( ibit8 * adv_sca_5 & |
|---|
| 2164 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
|---|
| 2165 | ) |
|---|
| 2166 | |
|---|
| 2167 | diss_t(k) = -ABS( w(k,j,i) ) * ( & |
|---|
| 2168 | ( 10.0 * ibit8 * adv_sca_5 & |
|---|
| 2169 | + 3.0 * ibit7 * adv_sca_3 & |
|---|
| 2170 | + ibit6 * adv_sca_1 & |
|---|
| 2171 | ) * & |
|---|
| 2172 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 2173 | - ( 5.0 * ibit8 * adv_sca_5 & |
|---|
| 2174 | + ibit7 * adv_sca_3 & |
|---|
| 2175 | ) * & |
|---|
| 2176 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
|---|
| 2177 | + ( ibit8 * adv_sca_5 & |
|---|
| 2178 | ) * & |
|---|
| 2179 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
|---|
| 2180 | ) |
|---|
| 2181 | ! |
|---|
| 2182 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 2183 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 2184 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 2185 | div = ( u(k,j,i+1) - u(k,j,i) ) * ddx & |
|---|
| 2186 | + ( v(k,j+1,i) - v(k,j,i) ) * ddy & |
|---|
| 2187 | + ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 2188 | |
|---|
| 2189 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 2190 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j) - & |
|---|
| 2191 | swap_diss_x_local(k,j) ) * ddx & |
|---|
| 2192 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k) - & |
|---|
| 2193 | swap_diss_y_local(k) ) * ddy & |
|---|
| 2194 | + ( flux_t(k) + diss_t(k) - flux_d - diss_d & |
|---|
| 2195 | ) * ddzw(k) & |
|---|
| 2196 | ) + sk(k,j,i) * div |
|---|
| 2197 | |
|---|
| 2198 | swap_flux_y_local(k) = flux_n(k) |
|---|
| 2199 | swap_diss_y_local(k) = diss_n(k) |
|---|
| 2200 | swap_flux_x_local(k,j) = flux_r(k) |
|---|
| 2201 | swap_diss_x_local(k,j) = diss_r(k) |
|---|
| 2202 | flux_d = flux_t(k) |
|---|
| 2203 | diss_d = diss_t(k) |
|---|
| 2204 | |
|---|
| 2205 | ENDDO |
|---|
| 2206 | |
|---|
| 2207 | DO k = nzb_max+1, nzt |
|---|
| 2208 | |
|---|
| 2209 | u_comp = u(k,j,i+1) - u_gtrans |
|---|
| 2210 | flux_r(k) = u_comp * ( & |
|---|
| 2211 | 37.0 * ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 2212 | - 8.0 * ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
|---|
| 2213 | + ( sk(k,j,i+3) + sk(k,j,i-2) ) ) * adv_sca_5 |
|---|
| 2214 | diss_r(k) = -ABS( u_comp ) * ( & |
|---|
| 2215 | 10.0 * ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 2216 | - 5.0 * ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
|---|
| 2217 | + ( sk(k,j,i+3) - sk(k,j,i-2) ) ) * adv_sca_5 |
|---|
| 2218 | |
|---|
| 2219 | v_comp = v(k,j+1,i) - v_gtrans |
|---|
| 2220 | flux_n(k) = v_comp * ( & |
|---|
| 2221 | 37.0 * ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 2222 | - 8.0 * ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
|---|
| 2223 | + ( sk(k,j+3,i) + sk(k,j-2,i) ) ) * adv_sca_5 |
|---|
| 2224 | diss_n(k) = -ABS( v_comp ) * ( & |
|---|
| 2225 | 10.0 * ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 2226 | - 5.0 * ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
|---|
| 2227 | + ( sk(k,j+3,i) - sk(k,j-2,i) ) ) * adv_sca_5 |
|---|
| 2228 | ! |
|---|
| 2229 | !-- k index has to be modified near bottom and top, else array |
|---|
| 2230 | !-- subscripts will be exceeded. |
|---|
| 2231 | ibit8 = IBITS(wall_flags_0(k,j,i),8,1) |
|---|
| 2232 | ibit7 = IBITS(wall_flags_0(k,j,i),7,1) |
|---|
| 2233 | ibit6 = IBITS(wall_flags_0(k,j,i),6,1) |
|---|
| 2234 | |
|---|
| 2235 | k_ppp = k + 3 * ibit8 |
|---|
| 2236 | k_pp = k + 2 * ( 1 - ibit6 ) |
|---|
| 2237 | k_mm = k - 2 * ibit8 |
|---|
| 2238 | |
|---|
| 2239 | |
|---|
| 2240 | flux_t(k) = w(k,j,i) * ( & |
|---|
| 2241 | ( 37.0 * ibit8 * adv_sca_5 & |
|---|
| 2242 | + 7.0 * ibit7 * adv_sca_3 & |
|---|
| 2243 | + ibit6 * adv_sca_1 & |
|---|
| 2244 | ) * & |
|---|
| 2245 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 2246 | - ( 8.0 * ibit8 * adv_sca_5 & |
|---|
| 2247 | + ibit7 * adv_sca_3 & |
|---|
| 2248 | ) * & |
|---|
| 2249 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
|---|
| 2250 | + ( ibit8 * adv_sca_5 & |
|---|
| 2251 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
|---|
| 2252 | ) |
|---|
| 2253 | |
|---|
| 2254 | diss_t(k) = -ABS( w(k,j,i) ) * ( & |
|---|
| 2255 | ( 10.0 * ibit8 * adv_sca_5 & |
|---|
| 2256 | + 3.0 * ibit7 * adv_sca_3 & |
|---|
| 2257 | + ibit6 * adv_sca_1 & |
|---|
| 2258 | ) * & |
|---|
| 2259 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 2260 | - ( 5.0 * ibit8 * adv_sca_5 & |
|---|
| 2261 | + ibit7 * adv_sca_3 & |
|---|
| 2262 | ) * & |
|---|
| 2263 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
|---|
| 2264 | + ( ibit8 * adv_sca_5 & |
|---|
| 2265 | ) * & |
|---|
| 2266 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
|---|
| 2267 | ) |
|---|
| 2268 | ! |
|---|
| 2269 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 2270 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 2271 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 2272 | div = ( u(k,j,i+1) - u(k,j,i) ) * ddx & |
|---|
| 2273 | + ( v(k,j+1,i) - v(k,j,i) ) * ddy & |
|---|
| 2274 | + ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 2275 | |
|---|
| 2276 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 2277 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j) - & |
|---|
| 2278 | swap_diss_x_local(k,j) ) * ddx & |
|---|
| 2279 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k) - & |
|---|
| 2280 | swap_diss_y_local(k) ) * ddy & |
|---|
| 2281 | + ( flux_t(k) + diss_t(k) - flux_d - diss_d & |
|---|
| 2282 | ) * ddzw(k) & |
|---|
| 2283 | ) + sk(k,j,i) * div |
|---|
| 2284 | |
|---|
| 2285 | swap_flux_y_local(k) = flux_n(k) |
|---|
| 2286 | swap_diss_y_local(k) = diss_n(k) |
|---|
| 2287 | swap_flux_x_local(k,j) = flux_r(k) |
|---|
| 2288 | swap_diss_x_local(k,j) = diss_r(k) |
|---|
| 2289 | flux_d = flux_t(k) |
|---|
| 2290 | diss_d = diss_t(k) |
|---|
| 2291 | |
|---|
| 2292 | ENDDO |
|---|
| 2293 | ! |
|---|
| 2294 | !-- evaluation of statistics |
|---|
| 2295 | SELECT CASE ( sk_char ) |
|---|
| 2296 | |
|---|
| 2297 | CASE ( 'pt' ) |
|---|
| 2298 | DO k = nzb, nzt |
|---|
| 2299 | sums_wspts_ws_l(k,tn) = sums_wspts_ws_l(k,tn) & |
|---|
| 2300 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 2301 | * weight_substep(intermediate_timestep_count) |
|---|
| 2302 | ENDDO |
|---|
| 2303 | CASE ( 'sa' ) |
|---|
| 2304 | DO k = nzb, nzt |
|---|
| 2305 | sums_wssas_ws_l(k,tn) = sums_wssas_ws_l(k,tn) & |
|---|
| 2306 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 2307 | * weight_substep(intermediate_timestep_count) |
|---|
| 2308 | ENDDO |
|---|
| 2309 | CASE ( 'q' ) |
|---|
| 2310 | DO k = nzb, nzt |
|---|
| 2311 | sums_wsqs_ws_l(k,tn) = sums_wsqs_ws_l(k,tn) & |
|---|
| 2312 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 2313 | * weight_substep(intermediate_timestep_count) |
|---|
| 2314 | ENDDO |
|---|
| 2315 | |
|---|
| 2316 | END SELECT |
|---|
| 2317 | |
|---|
| 2318 | ENDDO |
|---|
| 2319 | ENDDO |
|---|
| 2320 | |
|---|
| 2321 | END SUBROUTINE advec_s_ws |
|---|
| 2322 | |
|---|
| 2323 | |
|---|
| 2324 | !------------------------------------------------------------------------------! |
|---|
| 2325 | ! Advection of u - Call for all grid points |
|---|
| 2326 | !------------------------------------------------------------------------------! |
|---|
| 2327 | SUBROUTINE advec_u_ws |
|---|
| 2328 | |
|---|
| 2329 | USE arrays_3d |
|---|
| 2330 | USE constants |
|---|
| 2331 | USE control_parameters |
|---|
| 2332 | USE grid_variables |
|---|
| 2333 | USE indices |
|---|
| 2334 | USE statistics |
|---|
| 2335 | |
|---|
| 2336 | IMPLICIT NONE |
|---|
| 2337 | |
|---|
| 2338 | INTEGER :: i, ibit9, ibit10, ibit11, ibit12, ibit13, ibit14, ibit15, & |
|---|
| 2339 | ibit16, ibit17, j, k, k_mm, k_pp, k_ppp, tn = 0 |
|---|
| 2340 | REAL :: diss_d, div, flux_d, gu, gv, v_comp, w_comp |
|---|
| 2341 | REAL, DIMENSION(nzb+1:nzt) :: swap_diss_y_local_u, swap_flux_y_local_u |
|---|
| 2342 | REAL, DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local_u, & |
|---|
| 2343 | swap_flux_x_local_u |
|---|
| 2344 | REAL, DIMENSION(nzb:nzt) :: diss_n, diss_r, diss_t, flux_n, flux_r, & |
|---|
| 2345 | flux_t, u_comp |
|---|
| 2346 | |
|---|
| 2347 | gu = 2.0 * u_gtrans |
|---|
| 2348 | gv = 2.0 * v_gtrans |
|---|
| 2349 | |
|---|
| 2350 | ! |
|---|
| 2351 | !-- Compute the fluxes for the whole left boundary of the processor domain. |
|---|
| 2352 | i = nxlu |
|---|
| 2353 | DO j = nys, nyn |
|---|
| 2354 | DO k = nzb+1, nzb_max |
|---|
| 2355 | |
|---|
| 2356 | ibit11 = IBITS(wall_flags_0(k,j,i),11,1) |
|---|
| 2357 | ibit10 = IBITS(wall_flags_0(k,j,i),10,1) |
|---|
| 2358 | ibit9 = IBITS(wall_flags_0(k,j,i),9,1) |
|---|
| 2359 | |
|---|
| 2360 | u_comp(k) = u(k,j,i) + u(k,j,i-1) - gu |
|---|
| 2361 | swap_flux_x_local_u(k,j) = u_comp(k) * ( & |
|---|
| 2362 | ( 37.0 * ibit11 * adv_mom_5 & |
|---|
| 2363 | + 7.0 * ibit10 * adv_mom_3 & |
|---|
| 2364 | + ibit9 * adv_mom_1 & |
|---|
| 2365 | ) * & |
|---|
| 2366 | ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 2367 | - ( 8.0 * ibit11 * adv_mom_5 & |
|---|
| 2368 | + ibit10 * adv_mom_3 & |
|---|
| 2369 | ) * & |
|---|
| 2370 | ( u(k,j,i+1) + u(k,j,i-2) ) & |
|---|
| 2371 | + ( ibit11 * adv_mom_5 & |
|---|
| 2372 | ) * & |
|---|
| 2373 | ( u(k,j,i+2) + u(k,j,i-3) ) & |
|---|
| 2374 | ) |
|---|
| 2375 | |
|---|
| 2376 | swap_diss_x_local_u(k,j) = - ABS( u_comp(k) ) * ( & |
|---|
| 2377 | ( 10.0 * ibit11 * adv_mom_5 & |
|---|
| 2378 | + 3.0 * ibit10 * adv_mom_3 & |
|---|
| 2379 | + ibit9 * adv_mom_1 & |
|---|
| 2380 | ) * & |
|---|
| 2381 | ( u(k,j,i) - u(k,j,i-1) ) & |
|---|
| 2382 | - ( 5.0 * ibit11 * adv_mom_5 & |
|---|
| 2383 | + ibit10 * adv_mom_3 & |
|---|
| 2384 | ) * & |
|---|
| 2385 | ( u(k,j,i+1) - u(k,j,i-2) ) & |
|---|
| 2386 | + ( ibit11 * adv_mom_5 & |
|---|
| 2387 | ) * & |
|---|
| 2388 | ( u(k,j,i+2) - u(k,j,i-3) ) & |
|---|
| 2389 | ) |
|---|
| 2390 | |
|---|
| 2391 | ENDDO |
|---|
| 2392 | |
|---|
| 2393 | DO k = nzb_max+1, nzt |
|---|
| 2394 | |
|---|
| 2395 | u_comp(k) = u(k,j,i) + u(k,j,i-1) - gu |
|---|
| 2396 | swap_flux_x_local_u(k,j) = u_comp(k) * ( & |
|---|
| 2397 | 37.0 * ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 2398 | - 8.0 * ( u(k,j,i+1) + u(k,j,i-2) ) & |
|---|
| 2399 | + ( u(k,j,i+2) + u(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 2400 | swap_diss_x_local_u(k,j) = - ABS(u_comp(k)) * ( & |
|---|
| 2401 | 10.0 * ( u(k,j,i) - u(k,j,i-1) ) & |
|---|
| 2402 | - 5.0 * ( u(k,j,i+1) - u(k,j,i-2) ) & |
|---|
| 2403 | + ( u(k,j,i+2) - u(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 2404 | |
|---|
| 2405 | ENDDO |
|---|
| 2406 | ENDDO |
|---|
| 2407 | |
|---|
| 2408 | DO i = nxlu, nxr |
|---|
| 2409 | ! |
|---|
| 2410 | !-- The following loop computes the fluxes for the south boundary points |
|---|
| 2411 | j = nys |
|---|
| 2412 | DO k = nzb+1, nzb_max |
|---|
| 2413 | |
|---|
| 2414 | ibit14 = IBITS(wall_flags_0(k,j,i),14,1) |
|---|
| 2415 | ibit13 = IBITS(wall_flags_0(k,j,i),13,1) |
|---|
| 2416 | ibit12 = IBITS(wall_flags_0(k,j,i),12,1) |
|---|
| 2417 | |
|---|
| 2418 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
|---|
| 2419 | swap_flux_y_local_u(k) = v_comp * ( & |
|---|
| 2420 | ( 37.0 * ibit14 * adv_mom_5 & |
|---|
| 2421 | + 7.0 * ibit13 * adv_mom_3 & |
|---|
| 2422 | + ibit12 * adv_mom_1 & |
|---|
| 2423 | ) * & |
|---|
| 2424 | ( u(k,j,i) + u(k,j-1,i) ) & |
|---|
| 2425 | - ( 8.0 * ibit14 * adv_mom_5 & |
|---|
| 2426 | + ibit13 * adv_mom_3 & |
|---|
| 2427 | ) * & |
|---|
| 2428 | ( u(k,j+1,i) + u(k,j-2,i) ) & |
|---|
| 2429 | + ( ibit14 * adv_mom_5 & |
|---|
| 2430 | ) * & |
|---|
| 2431 | ( u(k,j+2,i) + u(k,j-3,i) ) & |
|---|
| 2432 | ) |
|---|
| 2433 | |
|---|
| 2434 | swap_diss_y_local_u(k) = - ABS ( v_comp ) * ( & |
|---|
| 2435 | ( 10.0 * ibit14 * adv_mom_5 & |
|---|
| 2436 | + 3.0 * ibit13 * adv_mom_3 & |
|---|
| 2437 | + ibit12 * adv_mom_1 & |
|---|
| 2438 | ) * & |
|---|
| 2439 | ( u(k,j,i) - u(k,j-1,i) ) & |
|---|
| 2440 | - ( 5.0 * ibit14 * adv_mom_5 & |
|---|
| 2441 | + ibit13 * adv_mom_3 & |
|---|
| 2442 | ) * & |
|---|
| 2443 | ( u(k,j+1,i) - u(k,j-2,i) ) & |
|---|
| 2444 | + ( ibit14 * adv_mom_5 & |
|---|
| 2445 | ) * & |
|---|
| 2446 | ( u(k,j+2,i) - u(k,j-3,i) ) & |
|---|
| 2447 | ) |
|---|
| 2448 | |
|---|
| 2449 | ENDDO |
|---|
| 2450 | |
|---|
| 2451 | DO k = nzb_max+1, nzt |
|---|
| 2452 | |
|---|
| 2453 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
|---|
| 2454 | swap_flux_y_local_u(k) = v_comp * ( & |
|---|
| 2455 | 37.0 * ( u(k,j,i) + u(k,j-1,i) ) & |
|---|
| 2456 | - 8.0 * ( u(k,j+1,i) + u(k,j-2,i) ) & |
|---|
| 2457 | + ( u(k,j+2,i) + u(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 2458 | swap_diss_y_local_u(k) = - ABS(v_comp) * ( & |
|---|
| 2459 | 10.0 * ( u(k,j,i) - u(k,j-1,i) ) & |
|---|
| 2460 | - 5.0 * ( u(k,j+1,i) - u(k,j-2,i) ) & |
|---|
| 2461 | + ( u(k,j+2,i) - u(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 2462 | |
|---|
| 2463 | ENDDO |
|---|
| 2464 | ! |
|---|
| 2465 | !-- Computation of interior fluxes and tendency terms |
|---|
| 2466 | DO j = nys, nyn |
|---|
| 2467 | |
|---|
| 2468 | flux_t(0) = 0.0 |
|---|
| 2469 | diss_t(0) = 0.0 |
|---|
| 2470 | flux_d = 0.0 |
|---|
| 2471 | diss_d = 0.0 |
|---|
| 2472 | |
|---|
| 2473 | DO k = nzb+1, nzb_max |
|---|
| 2474 | |
|---|
| 2475 | ibit11 = IBITS(wall_flags_0(k,j,i),11,1) |
|---|
| 2476 | ibit10 = IBITS(wall_flags_0(k,j,i),10,1) |
|---|
| 2477 | ibit9 = IBITS(wall_flags_0(k,j,i),9,1) |
|---|
| 2478 | |
|---|
| 2479 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
|---|
| 2480 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
|---|
| 2481 | ( 37.0 * ibit11 * adv_mom_5 & |
|---|
| 2482 | + 7.0 * ibit10 * adv_mom_3 & |
|---|
| 2483 | + ibit9 * adv_mom_1 & |
|---|
| 2484 | ) * & |
|---|
| 2485 | ( u(k,j,i+1) + u(k,j,i) ) & |
|---|
| 2486 | - ( 8.0 * ibit11 * adv_mom_5 & |
|---|
| 2487 | + ibit10 * adv_mom_3 & |
|---|
| 2488 | ) * & |
|---|
| 2489 | ( u(k,j,i+2) + u(k,j,i-1) ) & |
|---|
| 2490 | + ( ibit11 * adv_mom_5 & |
|---|
| 2491 | ) * & |
|---|
| 2492 | ( u(k,j,i+3) + u(k,j,i-2) ) & |
|---|
| 2493 | ) |
|---|
| 2494 | |
|---|
| 2495 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
|---|
| 2496 | ( 10.0 * ibit11 * adv_mom_5 & |
|---|
| 2497 | + 3.0 * ibit10 * adv_mom_3 & |
|---|
| 2498 | + ibit9 * adv_mom_1 & |
|---|
| 2499 | ) * & |
|---|
| 2500 | ( u(k,j,i+1) - u(k,j,i) ) & |
|---|
| 2501 | - ( 5.0 * ibit11 * adv_mom_5 & |
|---|
| 2502 | + ibit10 * adv_mom_3 & |
|---|
| 2503 | ) * & |
|---|
| 2504 | ( u(k,j,i+2) - u(k,j,i-1) ) & |
|---|
| 2505 | + ( ibit11 * adv_mom_5 & |
|---|
| 2506 | ) * & |
|---|
| 2507 | ( u(k,j,i+3) - u(k,j,i-2) ) & |
|---|
| 2508 | ) |
|---|
| 2509 | |
|---|
| 2510 | ibit14 = IBITS(wall_flags_0(k,j,i),14,1) |
|---|
| 2511 | ibit13 = IBITS(wall_flags_0(k,j,i),13,1) |
|---|
| 2512 | ibit12 = IBITS(wall_flags_0(k,j,i),12,1) |
|---|
| 2513 | |
|---|
| 2514 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
|---|
| 2515 | flux_n(k) = v_comp * ( & |
|---|
| 2516 | ( 37.0 * ibit14 * adv_mom_5 & |
|---|
| 2517 | + 7.0 * ibit13 * adv_mom_3 & |
|---|
| 2518 | + ibit12 * adv_mom_1 & |
|---|
| 2519 | ) * & |
|---|
| 2520 | ( u(k,j+1,i) + u(k,j,i) ) & |
|---|
| 2521 | - ( 8.0 * ibit14 * adv_mom_5 & |
|---|
| 2522 | + ibit13 * adv_mom_3 & |
|---|
| 2523 | ) * & |
|---|
| 2524 | ( u(k,j+2,i) + u(k,j-1,i) ) & |
|---|
| 2525 | + ( ibit14 * adv_mom_5 & |
|---|
| 2526 | ) * & |
|---|
| 2527 | ( u(k,j+3,i) + u(k,j-2,i) ) & |
|---|
| 2528 | ) |
|---|
| 2529 | |
|---|
| 2530 | diss_n(k) = - ABS ( v_comp ) * ( & |
|---|
| 2531 | ( 10.0 * ibit14 * adv_mom_5 & |
|---|
| 2532 | + 3.0 * ibit13 * adv_mom_3 & |
|---|
| 2533 | + ibit12 * adv_mom_1 & |
|---|
| 2534 | ) * & |
|---|
| 2535 | ( u(k,j+1,i) - u(k,j,i) ) & |
|---|
| 2536 | - ( 5.0 * ibit14 * adv_mom_5 & |
|---|
| 2537 | + ibit13 * adv_mom_3 & |
|---|
| 2538 | ) * & |
|---|
| 2539 | ( u(k,j+2,i) - u(k,j-1,i) ) & |
|---|
| 2540 | + ( ibit14 * adv_mom_5 & |
|---|
| 2541 | ) * & |
|---|
| 2542 | ( u(k,j+3,i) - u(k,j-2,i) ) & |
|---|
| 2543 | ) |
|---|
| 2544 | ! |
|---|
| 2545 | !-- k index has to be modified near bottom and top, else array |
|---|
| 2546 | !-- subscripts will be exceeded. |
|---|
| 2547 | ibit17 = IBITS(wall_flags_0(k,j,i),17,1) |
|---|
| 2548 | ibit16 = IBITS(wall_flags_0(k,j,i),16,1) |
|---|
| 2549 | ibit15 = IBITS(wall_flags_0(k,j,i),15,1) |
|---|
| 2550 | |
|---|
| 2551 | k_ppp = k + 3 * ibit17 |
|---|
| 2552 | k_pp = k + 2 * ( 1 - ibit15 ) |
|---|
| 2553 | k_mm = k - 2 * ibit17 |
|---|
| 2554 | |
|---|
| 2555 | w_comp = w(k,j,i) + w(k,j,i-1) |
|---|
| 2556 | flux_t(k) = w_comp * ( & |
|---|
| 2557 | ( 37.0 * ibit17 * adv_mom_5 & |
|---|
| 2558 | + 7.0 * ibit16 * adv_mom_3 & |
|---|
| 2559 | + ibit15 * adv_mom_1 & |
|---|
| 2560 | ) * & |
|---|
| 2561 | ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 2562 | - ( 8.0 * ibit17 * adv_mom_5 & |
|---|
| 2563 | + ibit16 * adv_mom_3 & |
|---|
| 2564 | ) * & |
|---|
| 2565 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
|---|
| 2566 | + ( ibit17 * adv_mom_5 & |
|---|
| 2567 | ) * & |
|---|
| 2568 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
|---|
| 2569 | ) |
|---|
| 2570 | |
|---|
| 2571 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 2572 | ( 10.0 * ibit17 * adv_mom_5 & |
|---|
| 2573 | + 3.0 * ibit16 * adv_mom_3 & |
|---|
| 2574 | + ibit15 * adv_mom_1 & |
|---|
| 2575 | ) * & |
|---|
| 2576 | ( u(k+1,j,i) - u(k,j,i) ) & |
|---|
| 2577 | - ( 5.0 * ibit17 * adv_mom_5 & |
|---|
| 2578 | + ibit16 * adv_mom_3 & |
|---|
| 2579 | ) * & |
|---|
| 2580 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
|---|
| 2581 | + ( ibit17 * adv_mom_5 & |
|---|
| 2582 | ) * & |
|---|
| 2583 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
|---|
| 2584 | ) |
|---|
| 2585 | ! |
|---|
| 2586 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 2587 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 2588 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 2589 | div = ( ( u_comp(k) - ( u(k,j,i) + u(k,j,i-1) ) ) * ddx & |
|---|
| 2590 | + ( v_comp + gv - ( v(k,j,i) + v(k,j,i-1 ) ) ) * ddy & |
|---|
| 2591 | + ( w_comp - ( w(k-1,j,i) + w(k-1,j,i-1) ) ) & |
|---|
| 2592 | * ddzw(k) & |
|---|
| 2593 | ) * 0.5 |
|---|
| 2594 | |
|---|
| 2595 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 2596 | ( flux_r(k) + diss_r(k) & |
|---|
| 2597 | - swap_flux_x_local_u(k,j) - swap_diss_x_local_u(k,j) ) * ddx & |
|---|
| 2598 | + ( flux_n(k) + diss_n(k) & |
|---|
| 2599 | - swap_flux_y_local_u(k) - swap_diss_y_local_u(k) ) * ddy & |
|---|
| 2600 | + ( flux_t(k) + diss_t(k) & |
|---|
| 2601 | - flux_d - diss_d & |
|---|
| 2602 | ) * ddzw(k) & |
|---|
| 2603 | ) + div * u(k,j,i) |
|---|
| 2604 | |
|---|
| 2605 | swap_flux_x_local_u(k,j) = flux_r(k) |
|---|
| 2606 | swap_diss_x_local_u(k,j) = diss_r(k) |
|---|
| 2607 | swap_flux_y_local_u(k) = flux_n(k) |
|---|
| 2608 | swap_diss_y_local_u(k) = diss_n(k) |
|---|
| 2609 | flux_d = flux_t(k) |
|---|
| 2610 | diss_d = diss_t(k) |
|---|
| 2611 | ! |
|---|
| 2612 | !-- Statistical Evaluation of u'u'. The factor has to be applied |
|---|
| 2613 | !-- for right evaluation when gallilei_trans = .T. . |
|---|
| 2614 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
|---|
| 2615 | + ( flux_r(k) * & |
|---|
| 2616 | ( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
|---|
| 2617 | / ( u_comp(k) - gu + 1.0E-20 ) & |
|---|
| 2618 | + diss_r(k) * & |
|---|
| 2619 | ABS( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
|---|
| 2620 | / ( ABS( u_comp(k) - gu ) + 1.0E-20 ) ) & |
|---|
| 2621 | * weight_substep(intermediate_timestep_count) |
|---|
| 2622 | ! |
|---|
| 2623 | !-- Statistical Evaluation of w'u'. |
|---|
| 2624 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
|---|
| 2625 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 2626 | * weight_substep(intermediate_timestep_count) |
|---|
| 2627 | ENDDO |
|---|
| 2628 | |
|---|
| 2629 | DO k = nzb_max+1, nzt |
|---|
| 2630 | |
|---|
| 2631 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
|---|
| 2632 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
|---|
| 2633 | 37.0 * ( u(k,j,i+1) + u(k,j,i) ) & |
|---|
| 2634 | - 8.0 * ( u(k,j,i+2) + u(k,j,i-1) ) & |
|---|
| 2635 | + ( u(k,j,i+3) + u(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 2636 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
|---|
| 2637 | 10.0 * ( u(k,j,i+1) - u(k,j,i) ) & |
|---|
| 2638 | - 5.0 * ( u(k,j,i+2) - u(k,j,i-1) ) & |
|---|
| 2639 | + ( u(k,j,i+3) - u(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 2640 | |
|---|
| 2641 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
|---|
| 2642 | flux_n(k) = v_comp * ( & |
|---|
| 2643 | 37.0 * ( u(k,j+1,i) + u(k,j,i) ) & |
|---|
| 2644 | - 8.0 * ( u(k,j+2,i) + u(k,j-1,i) ) & |
|---|
| 2645 | + ( u(k,j+3,i) + u(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 2646 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 2647 | 10.0 * ( u(k,j+1,i) - u(k,j,i) ) & |
|---|
| 2648 | - 5.0 * ( u(k,j+2,i) - u(k,j-1,i) ) & |
|---|
| 2649 | + ( u(k,j+3,i) - u(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 2650 | ! |
|---|
| 2651 | !-- k index has to be modified near bottom and top, else array |
|---|
| 2652 | !-- subscripts will be exceeded. |
|---|
| 2653 | ibit17 = IBITS(wall_flags_0(k,j,i),17,1) |
|---|
| 2654 | ibit16 = IBITS(wall_flags_0(k,j,i),16,1) |
|---|
| 2655 | ibit15 = IBITS(wall_flags_0(k,j,i),15,1) |
|---|
| 2656 | |
|---|
| 2657 | k_ppp = k + 3 * ibit17 |
|---|
| 2658 | k_pp = k + 2 * ( 1 - ibit15 ) |
|---|
| 2659 | k_mm = k - 2 * ibit17 |
|---|
| 2660 | |
|---|
| 2661 | w_comp = w(k,j,i) + w(k,j,i-1) |
|---|
| 2662 | flux_t(k) = w_comp * ( & |
|---|
| 2663 | ( 37.0 * ibit17 * adv_mom_5 & |
|---|
| 2664 | + 7.0 * ibit16 * adv_mom_3 & |
|---|
| 2665 | + ibit15 * adv_mom_1 & |
|---|
| 2666 | ) * & |
|---|
| 2667 | ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 2668 | - ( 8.0 * ibit17 * adv_mom_5 & |
|---|
| 2669 | + ibit16 * adv_mom_3 & |
|---|
| 2670 | ) * & |
|---|
| 2671 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
|---|
| 2672 | + ( ibit17 * adv_mom_5 & |
|---|
| 2673 | ) * & |
|---|
| 2674 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
|---|
| 2675 | ) |
|---|
| 2676 | |
|---|
| 2677 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 2678 | ( 10.0 * ibit17 * adv_mom_5 & |
|---|
| 2679 | + 3.0 * ibit16 * adv_mom_3 & |
|---|
| 2680 | + ibit15 * adv_mom_1 & |
|---|
| 2681 | ) * & |
|---|
| 2682 | ( u(k+1,j,i) - u(k,j,i) ) & |
|---|
| 2683 | - ( 5.0 * ibit17 * adv_mom_5 & |
|---|
| 2684 | + ibit16 * adv_mom_3 & |
|---|
| 2685 | ) * & |
|---|
| 2686 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
|---|
| 2687 | + ( ibit17 * adv_mom_5 & |
|---|
| 2688 | ) * & |
|---|
| 2689 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
|---|
| 2690 | ) |
|---|
| 2691 | ! |
|---|
| 2692 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 2693 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 2694 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 2695 | div = ( ( u_comp(k) - ( u(k,j,i) + u(k,j,i-1) ) ) * ddx & |
|---|
| 2696 | + ( v_comp + gv - ( v(k,j,i) + v(k,j,i-1 ) ) ) * ddy & |
|---|
| 2697 | + ( w_comp - ( w(k-1,j,i) + w(k-1,j,i-1) ) ) & |
|---|
| 2698 | * ddzw(k) & |
|---|
| 2699 | ) * 0.5 |
|---|
| 2700 | |
|---|
| 2701 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 2702 | ( flux_r(k) + diss_r(k) & |
|---|
| 2703 | - swap_flux_x_local_u(k,j) - swap_diss_x_local_u(k,j) ) * ddx & |
|---|
| 2704 | + ( flux_n(k) + diss_n(k) & |
|---|
| 2705 | - swap_flux_y_local_u(k) - swap_diss_y_local_u(k) ) * ddy & |
|---|
| 2706 | + ( flux_t(k) + diss_t(k) & |
|---|
| 2707 | - flux_d - diss_d & |
|---|
| 2708 | ) * ddzw(k) & |
|---|
| 2709 | ) + div * u(k,j,i) |
|---|
| 2710 | |
|---|
| 2711 | swap_flux_x_local_u(k,j) = flux_r(k) |
|---|
| 2712 | swap_diss_x_local_u(k,j) = diss_r(k) |
|---|
| 2713 | swap_flux_y_local_u(k) = flux_n(k) |
|---|
| 2714 | swap_diss_y_local_u(k) = diss_n(k) |
|---|
| 2715 | flux_d = flux_t(k) |
|---|
| 2716 | diss_d = diss_t(k) |
|---|
| 2717 | ! |
|---|
| 2718 | !-- Statistical Evaluation of u'u'. The factor has to be applied |
|---|
| 2719 | !-- for right evaluation when gallilei_trans = .T. . |
|---|
| 2720 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
|---|
| 2721 | + ( flux_r(k) * & |
|---|
| 2722 | ( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
|---|
| 2723 | / ( u_comp(k) - gu + 1.0E-20 ) & |
|---|
| 2724 | + diss_r(k) * & |
|---|
| 2725 | ABS( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
|---|
| 2726 | / ( ABS( u_comp(k) - gu ) + 1.0E-20 ) ) & |
|---|
| 2727 | * weight_substep(intermediate_timestep_count) |
|---|
| 2728 | ! |
|---|
| 2729 | !-- Statistical Evaluation of w'u'. |
|---|
| 2730 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
|---|
| 2731 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 2732 | * weight_substep(intermediate_timestep_count) |
|---|
| 2733 | ENDDO |
|---|
| 2734 | ENDDO |
|---|
| 2735 | ENDDO |
|---|
| 2736 | sums_us2_ws_l(nzb,tn) = sums_us2_ws_l(nzb+1,tn) |
|---|
| 2737 | |
|---|
| 2738 | |
|---|
| 2739 | END SUBROUTINE advec_u_ws |
|---|
| 2740 | |
|---|
| 2741 | |
|---|
| 2742 | !------------------------------------------------------------------------------! |
|---|
| 2743 | ! Advection of v - Call for all grid points |
|---|
| 2744 | !------------------------------------------------------------------------------! |
|---|
| 2745 | SUBROUTINE advec_v_ws |
|---|
| 2746 | |
|---|
| 2747 | USE arrays_3d |
|---|
| 2748 | USE constants |
|---|
| 2749 | USE control_parameters |
|---|
| 2750 | USE grid_variables |
|---|
| 2751 | USE indices |
|---|
| 2752 | USE statistics |
|---|
| 2753 | |
|---|
| 2754 | IMPLICIT NONE |
|---|
| 2755 | |
|---|
| 2756 | |
|---|
| 2757 | INTEGER :: i, ibit18, ibit19, ibit20, ibit21, ibit22, ibit23, ibit24, & |
|---|
| 2758 | ibit25, ibit26, j, k, k_mm, k_pp, k_ppp, tn = 0 |
|---|
| 2759 | REAL :: diss_d, div, flux_d, gu, gv, u_comp, w_comp |
|---|
| 2760 | REAL, DIMENSION(nzb+1:nzt) :: swap_diss_y_local_v, swap_flux_y_local_v |
|---|
| 2761 | REAL, DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local_v, & |
|---|
| 2762 | swap_flux_x_local_v |
|---|
| 2763 | REAL, DIMENSION(nzb:nzt) :: diss_n, diss_r, diss_t, flux_n, flux_r, & |
|---|
| 2764 | flux_t, v_comp |
|---|
| 2765 | |
|---|
| 2766 | gu = 2.0 * u_gtrans |
|---|
| 2767 | gv = 2.0 * v_gtrans |
|---|
| 2768 | ! |
|---|
| 2769 | !-- First compute the whole left boundary of the processor domain |
|---|
| 2770 | i = nxl |
|---|
| 2771 | DO j = nysv, nyn |
|---|
| 2772 | DO k = nzb+1, nzb_max |
|---|
| 2773 | |
|---|
| 2774 | ibit20 = IBITS(wall_flags_0(k,j,i),20,1) |
|---|
| 2775 | ibit19 = IBITS(wall_flags_0(k,j,i),19,1) |
|---|
| 2776 | ibit18 = IBITS(wall_flags_0(k,j,i),18,1) |
|---|
| 2777 | |
|---|
| 2778 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
|---|
| 2779 | swap_flux_x_local_v(k,j) = u_comp * ( & |
|---|
| 2780 | ( 37.0 * ibit20 * adv_mom_5 & |
|---|
| 2781 | + 7.0 * ibit19 * adv_mom_3 & |
|---|
| 2782 | + ibit18 * adv_mom_1 & |
|---|
| 2783 | ) * & |
|---|
| 2784 | ( v(k,j,i) + v(k,j,i-1) ) & |
|---|
| 2785 | - ( 8.0 * ibit20 * adv_mom_5 & |
|---|
| 2786 | + ibit19 * adv_mom_3 & |
|---|
| 2787 | ) * & |
|---|
| 2788 | ( v(k,j,i+1) + v(k,j,i-2) ) & |
|---|
| 2789 | + ( ibit20 * adv_mom_5 & |
|---|
| 2790 | ) * & |
|---|
| 2791 | ( v(k,j,i+2) + v(k,j,i-3) ) & |
|---|
| 2792 | ) |
|---|
| 2793 | |
|---|
| 2794 | swap_diss_x_local_v(k,j) = - ABS( u_comp ) * ( & |
|---|
| 2795 | ( 10.0 * ibit20 * adv_mom_5 & |
|---|
| 2796 | + 3.0 * ibit19 * adv_mom_3 & |
|---|
| 2797 | + ibit18 * adv_mom_1 & |
|---|
| 2798 | ) * & |
|---|
| 2799 | ( v(k,j,i) - v(k,j,i-1) ) & |
|---|
| 2800 | - ( 5.0 * ibit20 * adv_mom_5 & |
|---|
| 2801 | + ibit19 * adv_mom_3 & |
|---|
| 2802 | ) * & |
|---|
| 2803 | ( v(k,j,i+1) - v(k,j,i-2) ) & |
|---|
| 2804 | + ( ibit20 * adv_mom_5 & |
|---|
| 2805 | ) * & |
|---|
| 2806 | ( v(k,j,i+2) - v(k,j,i-3) ) & |
|---|
| 2807 | ) |
|---|
| 2808 | |
|---|
| 2809 | ENDDO |
|---|
| 2810 | |
|---|
| 2811 | DO k = nzb_max+1, nzt |
|---|
| 2812 | |
|---|
| 2813 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
|---|
| 2814 | swap_flux_x_local_v(k,j) = u_comp * ( & |
|---|
| 2815 | 37.0 * ( v(k,j,i) + v(k,j,i-1) ) & |
|---|
| 2816 | - 8.0 * ( v(k,j,i+1) + v(k,j,i-2) ) & |
|---|
| 2817 | + ( v(k,j,i+2) + v(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 2818 | swap_diss_x_local_v(k,j) = - ABS( u_comp ) * ( & |
|---|
| 2819 | 10.0 * ( v(k,j,i) - v(k,j,i-1) ) & |
|---|
| 2820 | - 5.0 * ( v(k,j,i+1) - v(k,j,i-2) ) & |
|---|
| 2821 | + ( v(k,j,i+2) - v(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 2822 | |
|---|
| 2823 | ENDDO |
|---|
| 2824 | |
|---|
| 2825 | ENDDO |
|---|
| 2826 | |
|---|
| 2827 | DO i = nxl, nxr |
|---|
| 2828 | |
|---|
| 2829 | j = nysv |
|---|
| 2830 | DO k = nzb+1, nzb_max |
|---|
| 2831 | |
|---|
| 2832 | ibit23 = IBITS(wall_flags_0(k,j,i),23,1) |
|---|
| 2833 | ibit22 = IBITS(wall_flags_0(k,j,i),22,1) |
|---|
| 2834 | ibit21 = IBITS(wall_flags_0(k,j,i),21,1) |
|---|
| 2835 | |
|---|
| 2836 | v_comp(k) = v(k,j,i) + v(k,j-1,i) - gv |
|---|
| 2837 | swap_flux_y_local_v(k) = v_comp(k) * ( & |
|---|
| 2838 | ( 37.0 * ibit23 * adv_mom_5 & |
|---|
| 2839 | + 7.0 * ibit22 * adv_mom_3 & |
|---|
| 2840 | + ibit21 * adv_mom_1 & |
|---|
| 2841 | ) * & |
|---|
| 2842 | ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 2843 | - ( 8.0 * ibit23 * adv_mom_5 & |
|---|
| 2844 | + ibit22 * adv_mom_3 & |
|---|
| 2845 | ) * & |
|---|
| 2846 | ( v(k,j+1,i) + v(k,j-2,i) ) & |
|---|
| 2847 | + ( ibit23 * adv_mom_5 & |
|---|
| 2848 | ) * & |
|---|
| 2849 | ( v(k,j+2,i) + v(k,j-3,i) ) & |
|---|
| 2850 | ) |
|---|
| 2851 | |
|---|
| 2852 | swap_diss_y_local_v(k) = - ABS( v_comp(k) ) * ( & |
|---|
| 2853 | ( 10.0 * ibit23 * adv_mom_5 & |
|---|
| 2854 | + 3.0 * ibit22 * adv_mom_3 & |
|---|
| 2855 | + ibit21 * adv_mom_1 & |
|---|
| 2856 | ) * & |
|---|
| 2857 | ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 2858 | - ( 5.0 * ibit23 * adv_mom_5 & |
|---|
| 2859 | + ibit22 * adv_mom_3 & |
|---|
| 2860 | ) * & |
|---|
| 2861 | ( v(k,j+1,i) - v(k,j-2,i) ) & |
|---|
| 2862 | + ( ibit23 * adv_mom_5 & |
|---|
| 2863 | ) * & |
|---|
| 2864 | ( v(k,j+2,i) - v(k,j-3,i) ) & |
|---|
| 2865 | ) |
|---|
| 2866 | |
|---|
| 2867 | ENDDO |
|---|
| 2868 | |
|---|
| 2869 | DO k = nzb_max+1, nzt |
|---|
| 2870 | |
|---|
| 2871 | v_comp(k) = v(k,j,i) + v(k,j-1,i) - gv |
|---|
| 2872 | swap_flux_y_local_v(k) = v_comp(k) * ( & |
|---|
| 2873 | 37.0 * ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 2874 | - 8.0 * ( v(k,j+1,i) + v(k,j-2,i) ) & |
|---|
| 2875 | + ( v(k,j+2,i) + v(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 2876 | swap_diss_y_local_v(k) = - ABS( v_comp(k) ) * ( & |
|---|
| 2877 | 10.0 * ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 2878 | - 5.0 * ( v(k,j+1,i) - v(k,j-2,i) ) & |
|---|
| 2879 | + ( v(k,j+2,i) - v(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 2880 | |
|---|
| 2881 | ENDDO |
|---|
| 2882 | |
|---|
| 2883 | DO j = nysv, nyn |
|---|
| 2884 | |
|---|
| 2885 | flux_t(0) = 0.0 |
|---|
| 2886 | diss_t(0) = 0.0 |
|---|
| 2887 | flux_d = 0.0 |
|---|
| 2888 | diss_d = 0.0 |
|---|
| 2889 | |
|---|
| 2890 | DO k = nzb+1, nzb_max |
|---|
| 2891 | |
|---|
| 2892 | ibit20 = IBITS(wall_flags_0(k,j,i),20,1) |
|---|
| 2893 | ibit19 = IBITS(wall_flags_0(k,j,i),19,1) |
|---|
| 2894 | ibit18 = IBITS(wall_flags_0(k,j,i),18,1) |
|---|
| 2895 | |
|---|
| 2896 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
|---|
| 2897 | flux_r(k) = u_comp * ( & |
|---|
| 2898 | ( 37.0 * ibit20 * adv_mom_5 & |
|---|
| 2899 | + 7.0 * ibit19 * adv_mom_3 & |
|---|
| 2900 | + ibit18 * adv_mom_1 & |
|---|
| 2901 | ) * & |
|---|
| 2902 | ( v(k,j,i+1) + v(k,j,i) ) & |
|---|
| 2903 | - ( 8.0 * ibit20 * adv_mom_5 & |
|---|
| 2904 | + ibit19 * adv_mom_3 & |
|---|
| 2905 | ) * & |
|---|
| 2906 | ( v(k,j,i+2) + v(k,j,i-1) ) & |
|---|
| 2907 | + ( ibit20 * adv_mom_5 & |
|---|
| 2908 | ) * & |
|---|
| 2909 | ( v(k,j,i+3) + v(k,j,i-2) ) & |
|---|
| 2910 | ) |
|---|
| 2911 | |
|---|
| 2912 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 2913 | ( 10.0 * ibit20 * adv_mom_5 & |
|---|
| 2914 | + 3.0 * ibit19 * adv_mom_3 & |
|---|
| 2915 | + ibit18 * adv_mom_1 & |
|---|
| 2916 | ) * & |
|---|
| 2917 | ( v(k,j,i+1) - v(k,j,i) ) & |
|---|
| 2918 | - ( 5.0 * ibit20 * adv_mom_5 & |
|---|
| 2919 | + ibit19 * adv_mom_3 & |
|---|
| 2920 | ) * & |
|---|
| 2921 | ( v(k,j,i+2) - v(k,j,i-1) ) & |
|---|
| 2922 | + ( ibit20 * adv_mom_5 & |
|---|
| 2923 | ) * & |
|---|
| 2924 | ( v(k,j,i+3) - v(k,j,i-2) ) & |
|---|
| 2925 | ) |
|---|
| 2926 | |
|---|
| 2927 | ibit23 = IBITS(wall_flags_0(k,j,i),23,1) |
|---|
| 2928 | ibit22 = IBITS(wall_flags_0(k,j,i),22,1) |
|---|
| 2929 | ibit21 = IBITS(wall_flags_0(k,j,i),21,1) |
|---|
| 2930 | |
|---|
| 2931 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
|---|
| 2932 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
|---|
| 2933 | ( 37.0 * ibit23 * adv_mom_5 & |
|---|
| 2934 | + 7.0 * ibit22 * adv_mom_3 & |
|---|
| 2935 | + ibit21 * adv_mom_1 & |
|---|
| 2936 | ) * & |
|---|
| 2937 | ( v(k,j+1,i) + v(k,j,i) ) & |
|---|
| 2938 | - ( 8.0 * ibit23 * adv_mom_5 & |
|---|
| 2939 | + ibit22 * adv_mom_3 & |
|---|
| 2940 | ) * & |
|---|
| 2941 | ( v(k,j+2,i) + v(k,j-1,i) ) & |
|---|
| 2942 | + ( ibit23 * adv_mom_5 & |
|---|
| 2943 | ) * & |
|---|
| 2944 | ( v(k,j+3,i) + v(k,j-2,i) ) & |
|---|
| 2945 | ) |
|---|
| 2946 | |
|---|
| 2947 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
|---|
| 2948 | ( 10.0 * ibit23 * adv_mom_5 & |
|---|
| 2949 | + 3.0 * ibit22 * adv_mom_3 & |
|---|
| 2950 | + ibit21 * adv_mom_1 & |
|---|
| 2951 | ) * & |
|---|
| 2952 | ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 2953 | - ( 5.0 * ibit23 * adv_mom_5 & |
|---|
| 2954 | + ibit22 * adv_mom_3 & |
|---|
| 2955 | ) * & |
|---|
| 2956 | ( v(k,j+2,i) - v(k,j-1,i) ) & |
|---|
| 2957 | + ( ibit23 * adv_mom_5 & |
|---|
| 2958 | ) * & |
|---|
| 2959 | ( v(k,j+3,i) - v(k,j-2,i) ) & |
|---|
| 2960 | ) |
|---|
| 2961 | ! |
|---|
| 2962 | !-- k index has to be modified near bottom and top, else array |
|---|
| 2963 | !-- subscripts will be exceeded. |
|---|
| 2964 | ibit26 = IBITS(wall_flags_0(k,j,i),26,1) |
|---|
| 2965 | ibit25 = IBITS(wall_flags_0(k,j,i),25,1) |
|---|
| 2966 | ibit24 = IBITS(wall_flags_0(k,j,i),24,1) |
|---|
| 2967 | |
|---|
| 2968 | k_ppp = k + 3 * ibit26 |
|---|
| 2969 | k_pp = k + 2 * ( 1 - ibit24 ) |
|---|
| 2970 | k_mm = k - 2 * ibit26 |
|---|
| 2971 | |
|---|
| 2972 | w_comp = w(k,j-1,i) + w(k,j,i) |
|---|
| 2973 | flux_t(k) = w_comp * ( & |
|---|
| 2974 | ( 37.0 * ibit26 * adv_mom_5 & |
|---|
| 2975 | + 7.0 * ibit25 * adv_mom_3 & |
|---|
| 2976 | + ibit24 * adv_mom_1 & |
|---|
| 2977 | ) * & |
|---|
| 2978 | ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 2979 | - ( 8.0 * ibit26 * adv_mom_5 & |
|---|
| 2980 | + ibit25 * adv_mom_3 & |
|---|
| 2981 | ) * & |
|---|
| 2982 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
|---|
| 2983 | + ( ibit26 * adv_mom_5 & |
|---|
| 2984 | ) * & |
|---|
| 2985 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
|---|
| 2986 | ) |
|---|
| 2987 | |
|---|
| 2988 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 2989 | ( 10.0 * ibit26 * adv_mom_5 & |
|---|
| 2990 | + 3.0 * ibit25 * adv_mom_3 & |
|---|
| 2991 | + ibit24 * adv_mom_1 & |
|---|
| 2992 | ) * & |
|---|
| 2993 | ( v(k+1,j,i) - v(k,j,i) ) & |
|---|
| 2994 | - ( 5.0 * ibit26 * adv_mom_5 & |
|---|
| 2995 | + ibit25 * adv_mom_3 & |
|---|
| 2996 | ) * & |
|---|
| 2997 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
|---|
| 2998 | + ( ibit26 * adv_mom_5 & |
|---|
| 2999 | ) * & |
|---|
| 3000 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
|---|
| 3001 | ) |
|---|
| 3002 | ! |
|---|
| 3003 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 3004 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 3005 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 3006 | div = ( ( u_comp + gu - ( u(k,j-1,i) + u(k,j,i) ) ) * ddx & |
|---|
| 3007 | + ( v_comp(k) - ( v(k,j,i) + v(k,j-1,i) ) ) * ddy & |
|---|
| 3008 | + ( w_comp - ( w(k-1,j-1,i) + w(k-1,j,i) ) & |
|---|
| 3009 | ) * ddzw(k) & |
|---|
| 3010 | ) * 0.5 |
|---|
| 3011 | |
|---|
| 3012 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 3013 | ( flux_r(k) + diss_r(k) & |
|---|
| 3014 | - swap_flux_x_local_v(k,j) - swap_diss_x_local_v(k,j) & |
|---|
| 3015 | ) * ddx & |
|---|
| 3016 | + ( flux_n(k) + diss_n(k) & |
|---|
| 3017 | - swap_flux_y_local_v(k) - swap_diss_y_local_v(k) & |
|---|
| 3018 | ) * ddy & |
|---|
| 3019 | + ( flux_t(k) + diss_t(k) & |
|---|
| 3020 | - flux_d - diss_d & |
|---|
| 3021 | ) * ddzw(k) & |
|---|
| 3022 | ) + v(k,j,i) * div |
|---|
| 3023 | |
|---|
| 3024 | swap_flux_x_local_v(k,j) = flux_r(k) |
|---|
| 3025 | swap_diss_x_local_v(k,j) = diss_r(k) |
|---|
| 3026 | swap_flux_y_local_v(k) = flux_n(k) |
|---|
| 3027 | swap_diss_y_local_v(k) = diss_n(k) |
|---|
| 3028 | flux_d = flux_t(k) |
|---|
| 3029 | diss_d = diss_t(k) |
|---|
| 3030 | |
|---|
| 3031 | ! |
|---|
| 3032 | !-- Statistical Evaluation of v'v'. The factor has to be applied |
|---|
| 3033 | !-- for right evaluation when gallilei_trans = .T. . |
|---|
| 3034 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
|---|
| 3035 | + ( flux_n(k) & |
|---|
| 3036 | * ( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
|---|
| 3037 | / ( v_comp(k) - gv + 1.0E-20 ) & |
|---|
| 3038 | + diss_n(k) & |
|---|
| 3039 | * ABS( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
|---|
| 3040 | / ( ABS( v_comp(k) - gv ) +1.0E-20 ) ) & |
|---|
| 3041 | * weight_substep(intermediate_timestep_count) |
|---|
| 3042 | ! |
|---|
| 3043 | !-- Statistical Evaluation of w'v'. |
|---|
| 3044 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
|---|
| 3045 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 3046 | * weight_substep(intermediate_timestep_count) |
|---|
| 3047 | |
|---|
| 3048 | ENDDO |
|---|
| 3049 | |
|---|
| 3050 | DO k = nzb_max+1, nzt |
|---|
| 3051 | |
|---|
| 3052 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
|---|
| 3053 | flux_r(k) = u_comp * ( & |
|---|
| 3054 | 37.0 * ( v(k,j,i+1) + v(k,j,i) ) & |
|---|
| 3055 | - 8.0 * ( v(k,j,i+2) + v(k,j,i-1) ) & |
|---|
| 3056 | + ( v(k,j,i+3) + v(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 3057 | |
|---|
| 3058 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 3059 | 10.0 * ( v(k,j,i+1) - v(k,j,i) ) & |
|---|
| 3060 | - 5.0 * ( v(k,j,i+2) - v(k,j,i-1) ) & |
|---|
| 3061 | + ( v(k,j,i+3) - v(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 3062 | |
|---|
| 3063 | |
|---|
| 3064 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
|---|
| 3065 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
|---|
| 3066 | 37.0 * ( v(k,j+1,i) + v(k,j,i) ) & |
|---|
| 3067 | - 8.0 * ( v(k,j+2,i) + v(k,j-1,i) ) & |
|---|
| 3068 | + ( v(k,j+3,i) + v(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 3069 | |
|---|
| 3070 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
|---|
| 3071 | 10.0 * ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 3072 | - 5.0 * ( v(k,j+2,i) - v(k,j-1,i) ) & |
|---|
| 3073 | + ( v(k,j+3,i) - v(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 3074 | ! |
|---|
| 3075 | !-- k index has to be modified near bottom and top, else array |
|---|
| 3076 | !-- subscripts will be exceeded. |
|---|
| 3077 | ibit26 = IBITS(wall_flags_0(k,j,i),26,1) |
|---|
| 3078 | ibit25 = IBITS(wall_flags_0(k,j,i),25,1) |
|---|
| 3079 | ibit24 = IBITS(wall_flags_0(k,j,i),24,1) |
|---|
| 3080 | |
|---|
| 3081 | k_ppp = k + 3 * ibit26 |
|---|
| 3082 | k_pp = k + 2 * ( 1 - ibit24 ) |
|---|
| 3083 | k_mm = k - 2 * ibit26 |
|---|
| 3084 | |
|---|
| 3085 | w_comp = w(k,j-1,i) + w(k,j,i) |
|---|
| 3086 | flux_t(k) = w_comp * ( & |
|---|
| 3087 | ( 37.0 * ibit26 * adv_mom_5 & |
|---|
| 3088 | + 7.0 * ibit25 * adv_mom_3 & |
|---|
| 3089 | + ibit24 * adv_mom_1 & |
|---|
| 3090 | ) * & |
|---|
| 3091 | ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 3092 | - ( 8.0 * ibit26 * adv_mom_5 & |
|---|
| 3093 | + ibit25 * adv_mom_3 & |
|---|
| 3094 | ) * & |
|---|
| 3095 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
|---|
| 3096 | + ( ibit26 * adv_mom_5 & |
|---|
| 3097 | ) * & |
|---|
| 3098 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
|---|
| 3099 | ) |
|---|
| 3100 | |
|---|
| 3101 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 3102 | ( 10.0 * ibit26 * adv_mom_5 & |
|---|
| 3103 | + 3.0 * ibit25 * adv_mom_3 & |
|---|
| 3104 | + ibit24 * adv_mom_1 & |
|---|
| 3105 | ) * & |
|---|
| 3106 | ( v(k+1,j,i) - v(k,j,i) ) & |
|---|
| 3107 | - ( 5.0 * ibit26 * adv_mom_5 & |
|---|
| 3108 | + ibit25 * adv_mom_3 & |
|---|
| 3109 | ) * & |
|---|
| 3110 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
|---|
| 3111 | + ( ibit26 * adv_mom_5 & |
|---|
| 3112 | ) * & |
|---|
| 3113 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
|---|
| 3114 | ) |
|---|
| 3115 | ! |
|---|
| 3116 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 3117 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 3118 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 3119 | div = ( ( u_comp + gu - ( u(k,j-1,i) + u(k,j,i) ) ) * ddx & |
|---|
| 3120 | + ( v_comp(k) - ( v(k,j,i) + v(k,j-1,i) ) ) * ddy & |
|---|
| 3121 | + ( w_comp - ( w(k-1,j-1,i) + w(k-1,j,i) ) ) & |
|---|
| 3122 | * ddzw(k) & |
|---|
| 3123 | ) * 0.5 |
|---|
| 3124 | |
|---|
| 3125 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 3126 | ( flux_r(k) + diss_r(k) & |
|---|
| 3127 | - swap_flux_x_local_v(k,j) - swap_diss_x_local_v(k,j) & |
|---|
| 3128 | ) * ddx & |
|---|
| 3129 | + ( flux_n(k) + diss_n(k) & |
|---|
| 3130 | - swap_flux_y_local_v(k) - swap_diss_y_local_v(k) & |
|---|
| 3131 | ) * ddy & |
|---|
| 3132 | + ( flux_t(k) + diss_t(k) & |
|---|
| 3133 | - flux_d - diss_d & |
|---|
| 3134 | ) * ddzw(k) & |
|---|
| 3135 | ) + v(k,j,i) * div |
|---|
| 3136 | |
|---|
| 3137 | swap_flux_x_local_v(k,j) = flux_r(k) |
|---|
| 3138 | swap_diss_x_local_v(k,j) = diss_r(k) |
|---|
| 3139 | swap_flux_y_local_v(k) = flux_n(k) |
|---|
| 3140 | swap_diss_y_local_v(k) = diss_n(k) |
|---|
| 3141 | flux_d = flux_t(k) |
|---|
| 3142 | diss_d = diss_t(k) |
|---|
| 3143 | |
|---|
| 3144 | ! |
|---|
| 3145 | !-- Statistical Evaluation of v'v'. The factor has to be applied |
|---|
| 3146 | !-- for right evaluation when gallilei_trans = .T. . |
|---|
| 3147 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
|---|
| 3148 | + ( flux_n(k) & |
|---|
| 3149 | * ( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
|---|
| 3150 | / ( v_comp(k) - gv + 1.0E-20 ) & |
|---|
| 3151 | + diss_n(k) & |
|---|
| 3152 | * ABS( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
|---|
| 3153 | / ( ABS( v_comp(k) - gv ) +1.0E-20 ) ) & |
|---|
| 3154 | * weight_substep(intermediate_timestep_count) |
|---|
| 3155 | ! |
|---|
| 3156 | !-- Statistical Evaluation of w'v'. |
|---|
| 3157 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
|---|
| 3158 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 3159 | * weight_substep(intermediate_timestep_count) |
|---|
| 3160 | |
|---|
| 3161 | ENDDO |
|---|
| 3162 | ENDDO |
|---|
| 3163 | ENDDO |
|---|
| 3164 | sums_vs2_ws_l(nzb,tn) = sums_vs2_ws_l(nzb+1,tn) |
|---|
| 3165 | |
|---|
| 3166 | |
|---|
| 3167 | END SUBROUTINE advec_v_ws |
|---|
| 3168 | |
|---|
| 3169 | |
|---|
| 3170 | !------------------------------------------------------------------------------! |
|---|
| 3171 | ! Advection of w - Call for all grid points |
|---|
| 3172 | !------------------------------------------------------------------------------! |
|---|
| 3173 | SUBROUTINE advec_w_ws |
|---|
| 3174 | |
|---|
| 3175 | USE arrays_3d |
|---|
| 3176 | USE constants |
|---|
| 3177 | USE control_parameters |
|---|
| 3178 | USE grid_variables |
|---|
| 3179 | USE indices |
|---|
| 3180 | USE statistics |
|---|
| 3181 | |
|---|
| 3182 | IMPLICIT NONE |
|---|
| 3183 | |
|---|
| 3184 | INTEGER :: i, ibit27, ibit28, ibit29, ibit30, ibit31, ibit32, ibit33, & |
|---|
| 3185 | ibit34, ibit35, j, k, k_mm, k_pp, k_ppp, tn = 0 |
|---|
| 3186 | REAL :: diss_d, div, flux_d, gu, gv, u_comp, v_comp, w_comp |
|---|
| 3187 | REAL, DIMENSION(nzb:nzt) :: diss_t, flux_t |
|---|
| 3188 | REAL, DIMENSION(nzb+1:nzt) :: diss_n, diss_r, flux_n, flux_r, & |
|---|
| 3189 | swap_diss_y_local_w, & |
|---|
| 3190 | swap_flux_y_local_w |
|---|
| 3191 | REAL, DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local_w, & |
|---|
| 3192 | swap_flux_x_local_w |
|---|
| 3193 | |
|---|
| 3194 | gu = 2.0 * u_gtrans |
|---|
| 3195 | gv = 2.0 * v_gtrans |
|---|
| 3196 | ! |
|---|
| 3197 | !-- compute the whole left boundary of the processor domain |
|---|
| 3198 | i = nxl |
|---|
| 3199 | DO j = nys, nyn |
|---|
| 3200 | DO k = nzb+1, nzb_max |
|---|
| 3201 | |
|---|
| 3202 | ibit29 = IBITS(wall_flags_0(k,j,i),29,1) |
|---|
| 3203 | ibit28 = IBITS(wall_flags_0(k,j,i),28,1) |
|---|
| 3204 | ibit27 = IBITS(wall_flags_0(k,j,i),27,1) |
|---|
| 3205 | |
|---|
| 3206 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
|---|
| 3207 | swap_flux_x_local_w(k,j) = u_comp * ( & |
|---|
| 3208 | ( 37.0 * ibit29 * adv_mom_5 & |
|---|
| 3209 | + 7.0 * ibit28 * adv_mom_3 & |
|---|
| 3210 | + ibit27 * adv_mom_1 & |
|---|
| 3211 | ) * & |
|---|
| 3212 | ( w(k,j,i) + w(k,j,i-1) ) & |
|---|
| 3213 | - ( 8.0 * ibit29 * adv_mom_5 & |
|---|
| 3214 | + ibit28 * adv_mom_3 & |
|---|
| 3215 | ) * & |
|---|
| 3216 | ( w(k,j,i+1) + w(k,j,i-2) ) & |
|---|
| 3217 | + ( ibit29 * adv_mom_5 & |
|---|
| 3218 | ) * & |
|---|
| 3219 | ( w(k,j,i+2) + w(k,j,i-3) ) & |
|---|
| 3220 | ) |
|---|
| 3221 | |
|---|
| 3222 | swap_diss_x_local_w(k,j) = - ABS( u_comp ) * ( & |
|---|
| 3223 | ( 10.0 * ibit29 * adv_mom_5 & |
|---|
| 3224 | + 3.0 * ibit28 * adv_mom_3 & |
|---|
| 3225 | + ibit27 * adv_mom_1 & |
|---|
| 3226 | ) * & |
|---|
| 3227 | ( w(k,j,i) - w(k,j,i-1) ) & |
|---|
| 3228 | - ( 5.0 * ibit29 * adv_mom_5 & |
|---|
| 3229 | + ibit28 * adv_mom_3 & |
|---|
| 3230 | ) * & |
|---|
| 3231 | ( w(k,j,i+1) - w(k,j,i-2) ) & |
|---|
| 3232 | + ( ibit29 * adv_mom_5 & |
|---|
| 3233 | ) * & |
|---|
| 3234 | ( w(k,j,i+2) - w(k,j,i-3) ) & |
|---|
| 3235 | ) |
|---|
| 3236 | |
|---|
| 3237 | ENDDO |
|---|
| 3238 | |
|---|
| 3239 | DO k = nzb_max+1, nzt |
|---|
| 3240 | |
|---|
| 3241 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
|---|
| 3242 | swap_flux_x_local_w(k,j) = u_comp * ( & |
|---|
| 3243 | 37.0 * ( w(k,j,i) + w(k,j,i-1) ) & |
|---|
| 3244 | - 8.0 * ( w(k,j,i+1) + w(k,j,i-2) ) & |
|---|
| 3245 | + ( w(k,j,i+2) + w(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 3246 | swap_diss_x_local_w(k,j) = - ABS( u_comp ) * ( & |
|---|
| 3247 | 10.0 * ( w(k,j,i) - w(k,j,i-1) ) & |
|---|
| 3248 | - 5.0 * ( w(k,j,i+1) - w(k,j,i-2) ) & |
|---|
| 3249 | + ( w(k,j,i+2) - w(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 3250 | |
|---|
| 3251 | ENDDO |
|---|
| 3252 | |
|---|
| 3253 | ENDDO |
|---|
| 3254 | |
|---|
| 3255 | DO i = nxl, nxr |
|---|
| 3256 | |
|---|
| 3257 | j = nys |
|---|
| 3258 | DO k = nzb+1, nzb_max |
|---|
| 3259 | |
|---|
| 3260 | ibit32 = IBITS(wall_flags_0(k,j,i),32,1) |
|---|
| 3261 | ibit31 = IBITS(wall_flags_0(k,j,i),31,1) |
|---|
| 3262 | ibit30 = IBITS(wall_flags_0(k,j,i),30,1) |
|---|
| 3263 | |
|---|
| 3264 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
|---|
| 3265 | swap_flux_y_local_w(k) = v_comp * ( & |
|---|
| 3266 | ( 37.0 * ibit32 * adv_mom_5 & |
|---|
| 3267 | + 7.0 * ibit31 * adv_mom_3 & |
|---|
| 3268 | + ibit30 * adv_mom_1 & |
|---|
| 3269 | ) * & |
|---|
| 3270 | ( w(k,j,i) + w(k,j-1,i) ) & |
|---|
| 3271 | - ( 8.0 * ibit32 * adv_mom_5 & |
|---|
| 3272 | + ibit31 * adv_mom_3 & |
|---|
| 3273 | ) * & |
|---|
| 3274 | ( w(k,j+1,i) + w(k,j-2,i) ) & |
|---|
| 3275 | + ( ibit32 * adv_mom_5 & |
|---|
| 3276 | ) * & |
|---|
| 3277 | ( w(k,j+2,i) + w(k,j-3,i) ) & |
|---|
| 3278 | ) |
|---|
| 3279 | |
|---|
| 3280 | swap_diss_y_local_w(k) = - ABS( v_comp ) * ( & |
|---|
| 3281 | ( 10.0 * ibit32 * adv_mom_5 & |
|---|
| 3282 | + 3.0 * ibit31 * adv_mom_3 & |
|---|
| 3283 | + ibit30 * adv_mom_1 & |
|---|
| 3284 | ) * & |
|---|
| 3285 | ( w(k,j,i) - w(k,j-1,i) ) & |
|---|
| 3286 | - ( 5.0 * ibit32 * adv_mom_5 & |
|---|
| 3287 | + ibit31 * adv_mom_3 & |
|---|
| 3288 | ) * & |
|---|
| 3289 | ( w(k,j+1,i) - w(k,j-2,i) ) & |
|---|
| 3290 | + ( ibit32 * adv_mom_5 & |
|---|
| 3291 | ) * & |
|---|
| 3292 | ( w(k,j+2,i) - w(k,j-3,i) ) & |
|---|
| 3293 | ) |
|---|
| 3294 | |
|---|
| 3295 | ENDDO |
|---|
| 3296 | |
|---|
| 3297 | DO k = nzb_max+1, nzt |
|---|
| 3298 | |
|---|
| 3299 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
|---|
| 3300 | swap_flux_y_local_w(k) = v_comp * ( & |
|---|
| 3301 | 37.0 * ( w(k,j,i) + w(k,j-1,i) ) & |
|---|
| 3302 | - 8.0 * ( w(k,j+1,i) +w(k,j-2,i) ) & |
|---|
| 3303 | + ( w(k,j+2,i) + w(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 3304 | swap_diss_y_local_w(k) = - ABS( v_comp ) * ( & |
|---|
| 3305 | 10.0 * ( w(k,j,i) - w(k,j-1,i) ) & |
|---|
| 3306 | - 5.0 * ( w(k,j+1,i) - w(k,j-2,i) ) & |
|---|
| 3307 | + ( w(k,j+2,i) - w(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 3308 | |
|---|
| 3309 | ENDDO |
|---|
| 3310 | |
|---|
| 3311 | DO j = nys, nyn |
|---|
| 3312 | |
|---|
| 3313 | ! |
|---|
| 3314 | !-- The lower flux has to be calculated explicetely for the tendency |
|---|
| 3315 | !-- at the first w-level. For topography wall this is done implicitely |
|---|
| 3316 | !-- by wall_flags_0. |
|---|
| 3317 | k = nzb + 1 |
|---|
| 3318 | w_comp = w(k,j,i) + w(k-1,j,i) |
|---|
| 3319 | flux_t(0) = w_comp * ( w(k,j,i) + w(k-1,j,i) ) * adv_mom_1 |
|---|
| 3320 | diss_t(0) = -ABS(w_comp) * ( w(k,j,i) - w(k-1,j,i) ) * adv_mom_1 |
|---|
| 3321 | flux_d = flux_t(0) |
|---|
| 3322 | diss_d = diss_t(0) |
|---|
| 3323 | |
|---|
| 3324 | DO k = nzb+1, nzb_max |
|---|
| 3325 | |
|---|
| 3326 | ibit29 = IBITS(wall_flags_0(k,j,i),29,1) |
|---|
| 3327 | ibit28 = IBITS(wall_flags_0(k,j,i),28,1) |
|---|
| 3328 | ibit27 = IBITS(wall_flags_0(k,j,i),27,1) |
|---|
| 3329 | |
|---|
| 3330 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
|---|
| 3331 | flux_r(k) = u_comp * ( & |
|---|
| 3332 | ( 37.0 * ibit29 * adv_mom_5 & |
|---|
| 3333 | + 7.0 * ibit28 * adv_mom_3 & |
|---|
| 3334 | + ibit27 * adv_mom_1 & |
|---|
| 3335 | ) * & |
|---|
| 3336 | ( w(k,j,i+1) + w(k,j,i) ) & |
|---|
| 3337 | - ( 8.0 * ibit29 * adv_mom_5 & |
|---|
| 3338 | + ibit28 * adv_mom_3 & |
|---|
| 3339 | ) * & |
|---|
| 3340 | ( w(k,j,i+2) + w(k,j,i-1) ) & |
|---|
| 3341 | + ( ibit29 * adv_mom_5 & |
|---|
| 3342 | ) * & |
|---|
| 3343 | ( w(k,j,i+3) + w(k,j,i-2) ) & |
|---|
| 3344 | ) |
|---|
| 3345 | |
|---|
| 3346 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 3347 | ( 10.0 * ibit29 * adv_mom_5 & |
|---|
| 3348 | + 3.0 * ibit28 * adv_mom_3 & |
|---|
| 3349 | + ibit27 * adv_mom_1 & |
|---|
| 3350 | ) * & |
|---|
| 3351 | ( w(k,j,i+1) - w(k,j,i) ) & |
|---|
| 3352 | - ( 5.0 * ibit29 * adv_mom_5 & |
|---|
| 3353 | + ibit28 * adv_mom_3 & |
|---|
| 3354 | ) * & |
|---|
| 3355 | ( w(k,j,i+2) - w(k,j,i-1) ) & |
|---|
| 3356 | + ( ibit29 * adv_mom_5 & |
|---|
| 3357 | ) * & |
|---|
| 3358 | ( w(k,j,i+3) - w(k,j,i-2) ) & |
|---|
| 3359 | ) |
|---|
| 3360 | |
|---|
| 3361 | ibit32 = IBITS(wall_flags_0(k,j,i),32,1) |
|---|
| 3362 | ibit31 = IBITS(wall_flags_0(k,j,i),31,1) |
|---|
| 3363 | ibit30 = IBITS(wall_flags_0(k,j,i),30,1) |
|---|
| 3364 | |
|---|
| 3365 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
|---|
| 3366 | flux_n(k) = v_comp * ( & |
|---|
| 3367 | ( 37.0 * ibit32 * adv_mom_5 & |
|---|
| 3368 | + 7.0 * ibit31 * adv_mom_3 & |
|---|
| 3369 | + ibit30 * adv_mom_1 & |
|---|
| 3370 | ) * & |
|---|
| 3371 | ( w(k,j+1,i) + w(k,j,i) ) & |
|---|
| 3372 | - ( 8.0 * ibit32 * adv_mom_5 & |
|---|
| 3373 | + ibit31 * adv_mom_3 & |
|---|
| 3374 | ) * & |
|---|
| 3375 | ( w(k,j+2,i) + w(k,j-1,i) ) & |
|---|
| 3376 | + ( ibit32 * adv_mom_5 & |
|---|
| 3377 | ) * & |
|---|
| 3378 | ( w(k,j+3,i) + w(k,j-2,i) ) & |
|---|
| 3379 | ) |
|---|
| 3380 | |
|---|
| 3381 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 3382 | ( 10.0 * ibit32 * adv_mom_5 & |
|---|
| 3383 | + 3.0 * ibit31 * adv_mom_3 & |
|---|
| 3384 | + ibit30 * adv_mom_1 & |
|---|
| 3385 | ) * & |
|---|
| 3386 | ( w(k,j+1,i) - w(k,j,i) ) & |
|---|
| 3387 | - ( 5.0 * ibit32 * adv_mom_5 & |
|---|
| 3388 | + ibit31 * adv_mom_3 & |
|---|
| 3389 | ) * & |
|---|
| 3390 | ( w(k,j+2,i) - w(k,j-1,i) ) & |
|---|
| 3391 | + ( ibit32 * adv_mom_5 & |
|---|
| 3392 | ) * & |
|---|
| 3393 | ( w(k,j+3,i) - w(k,j-2,i) ) & |
|---|
| 3394 | ) |
|---|
| 3395 | ! |
|---|
| 3396 | !-- k index has to be modified near bottom and top, else array |
|---|
| 3397 | !-- subscripts will be exceeded. |
|---|
| 3398 | ibit35 = IBITS(wall_flags_0(k,j,i),35,1) |
|---|
| 3399 | ibit34 = IBITS(wall_flags_0(k,j,i),34,1) |
|---|
| 3400 | ibit33 = IBITS(wall_flags_0(k,j,i),33,1) |
|---|
| 3401 | |
|---|
| 3402 | k_ppp = k + 3 * ibit35 |
|---|
| 3403 | k_pp = k + 2 * ( 1 - ibit33 ) |
|---|
| 3404 | k_mm = k - 2 * ibit35 |
|---|
| 3405 | |
|---|
| 3406 | w_comp = w(k+1,j,i) + w(k,j,i) |
|---|
| 3407 | flux_t(k) = w_comp * ( & |
|---|
| 3408 | ( 37.0 * ibit35 * adv_mom_5 & |
|---|
| 3409 | + 7.0 * ibit34 * adv_mom_3 & |
|---|
| 3410 | + ibit33 * adv_mom_1 & |
|---|
| 3411 | ) * & |
|---|
| 3412 | ( w(k+1,j,i) + w(k,j,i) ) & |
|---|
| 3413 | - ( 8.0 * ibit35 * adv_mom_5 & |
|---|
| 3414 | + ibit34 * adv_mom_3 & |
|---|
| 3415 | ) * & |
|---|
| 3416 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
|---|
| 3417 | + ( ibit35 * adv_mom_5 & |
|---|
| 3418 | ) * & |
|---|
| 3419 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
|---|
| 3420 | ) |
|---|
| 3421 | |
|---|
| 3422 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 3423 | ( 10.0 * ibit35 * adv_mom_5 & |
|---|
| 3424 | + 3.0 * ibit34 * adv_mom_3 & |
|---|
| 3425 | + ibit33 * adv_mom_1 & |
|---|
| 3426 | ) * & |
|---|
| 3427 | ( w(k+1,j,i) - w(k,j,i) ) & |
|---|
| 3428 | - ( 5.0 * ibit35 * adv_mom_5 & |
|---|
| 3429 | + ibit34 * adv_mom_3 & |
|---|
| 3430 | ) * & |
|---|
| 3431 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
|---|
| 3432 | + ( ibit35 * adv_mom_5 & |
|---|
| 3433 | ) * & |
|---|
| 3434 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
|---|
| 3435 | ) |
|---|
| 3436 | ! |
|---|
| 3437 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 3438 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 3439 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 3440 | div = ( ( u_comp + gu - ( u(k+1,j,i) + u(k,j,i) ) ) * ddx & |
|---|
| 3441 | + ( v_comp + gv - ( v(k+1,j,i) + v(k,j,i) ) ) * ddy & |
|---|
| 3442 | + ( w_comp - ( w(k,j,i) + w(k-1,j,i) ) ) & |
|---|
| 3443 | * ddzu(k+1) & |
|---|
| 3444 | ) * 0.5 |
|---|
| 3445 | |
|---|
| 3446 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 3447 | ( flux_r(k) + diss_r(k) & |
|---|
| 3448 | - swap_flux_x_local_w(k,j) - swap_diss_x_local_w(k,j) & |
|---|
| 3449 | ) * ddx & |
|---|
| 3450 | + ( flux_n(k) + diss_n(k) & |
|---|
| 3451 | - swap_flux_y_local_w(k) - swap_diss_y_local_w(k) & |
|---|
| 3452 | ) * ddy & |
|---|
| 3453 | + ( flux_t(k) + diss_t(k) & |
|---|
| 3454 | - flux_d - diss_d & |
|---|
| 3455 | ) * ddzu(k+1) & |
|---|
| 3456 | ) + div * w(k,j,i) |
|---|
| 3457 | |
|---|
| 3458 | swap_flux_x_local_w(k,j) = flux_r(k) |
|---|
| 3459 | swap_diss_x_local_w(k,j) = diss_r(k) |
|---|
| 3460 | swap_flux_y_local_w(k) = flux_n(k) |
|---|
| 3461 | swap_diss_y_local_w(k) = diss_n(k) |
|---|
| 3462 | flux_d = flux_t(k) |
|---|
| 3463 | diss_d = diss_t(k) |
|---|
| 3464 | |
|---|
| 3465 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
|---|
| 3466 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 3467 | * weight_substep(intermediate_timestep_count) |
|---|
| 3468 | |
|---|
| 3469 | ENDDO |
|---|
| 3470 | |
|---|
| 3471 | DO k = nzb_max+1, nzt |
|---|
| 3472 | |
|---|
| 3473 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
|---|
| 3474 | flux_r(k) = u_comp * ( & |
|---|
| 3475 | 37.0 * ( w(k,j,i+1) + w(k,j,i) ) & |
|---|
| 3476 | - 8.0 * ( w(k,j,i+2) + w(k,j,i-1) ) & |
|---|
| 3477 | + ( w(k,j,i+3) + w(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 3478 | |
|---|
| 3479 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 3480 | 10.0 * ( w(k,j,i+1) - w(k,j,i) ) & |
|---|
| 3481 | - 5.0 * ( w(k,j,i+2) - w(k,j,i-1) ) & |
|---|
| 3482 | + ( w(k,j,i+3) - w(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 3483 | |
|---|
| 3484 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
|---|
| 3485 | flux_n(k) = v_comp * ( & |
|---|
| 3486 | 37.0 * ( w(k,j+1,i) + w(k,j,i) ) & |
|---|
| 3487 | - 8.0 * ( w(k,j+2,i) + w(k,j-1,i) ) & |
|---|
| 3488 | + ( w(k,j+3,i) + w(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 3489 | |
|---|
| 3490 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 3491 | 10.0 * ( w(k,j+1,i) - w(k,j,i) ) & |
|---|
| 3492 | - 5.0 * ( w(k,j+2,i) - w(k,j-1,i) ) & |
|---|
| 3493 | + ( w(k,j+3,i) - w(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 3494 | ! |
|---|
| 3495 | !-- k index has to be modified near bottom and top, else array |
|---|
| 3496 | !-- subscripts will be exceeded. |
|---|
| 3497 | ibit35 = IBITS(wall_flags_0(k,j,i),35,1) |
|---|
| 3498 | ibit34 = IBITS(wall_flags_0(k,j,i),34,1) |
|---|
| 3499 | ibit33 = IBITS(wall_flags_0(k,j,i),33,1) |
|---|
| 3500 | |
|---|
| 3501 | k_ppp = k + 3 * ibit35 |
|---|
| 3502 | k_pp = k + 2 * ( 1 - ibit33 ) |
|---|
| 3503 | k_mm = k - 2 * ibit35 |
|---|
| 3504 | |
|---|
| 3505 | w_comp = w(k+1,j,i) + w(k,j,i) |
|---|
| 3506 | flux_t(k) = w_comp * ( & |
|---|
| 3507 | ( 37.0 * ibit35 * adv_mom_5 & |
|---|
| 3508 | + 7.0 * ibit34 * adv_mom_3 & |
|---|
| 3509 | + ibit33 * adv_mom_1 & |
|---|
| 3510 | ) * & |
|---|
| 3511 | ( w(k+1,j,i) + w(k,j,i) ) & |
|---|
| 3512 | - ( 8.0 * ibit35 * adv_mom_5 & |
|---|
| 3513 | + ibit34 * adv_mom_3 & |
|---|
| 3514 | ) * & |
|---|
| 3515 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
|---|
| 3516 | + ( ibit35 * adv_mom_5 & |
|---|
| 3517 | ) * & |
|---|
| 3518 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
|---|
| 3519 | ) |
|---|
| 3520 | |
|---|
| 3521 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 3522 | ( 10.0 * ibit35 * adv_mom_5 & |
|---|
| 3523 | + 3.0 * ibit34 * adv_mom_3 & |
|---|
| 3524 | + ibit33 * adv_mom_1 & |
|---|
| 3525 | ) * & |
|---|
| 3526 | ( w(k+1,j,i) - w(k,j,i) ) & |
|---|
| 3527 | - ( 5.0 * ibit35 * adv_mom_5 & |
|---|
| 3528 | + ibit34 * adv_mom_3 & |
|---|
| 3529 | ) * & |
|---|
| 3530 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
|---|
| 3531 | + ( ibit35 * adv_mom_5 & |
|---|
| 3532 | ) * & |
|---|
| 3533 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
|---|
| 3534 | ) |
|---|
| 3535 | ! |
|---|
| 3536 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 3537 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 3538 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 3539 | div = ( ( u_comp + gu - ( u(k+1,j,i) + u(k,j,i) ) ) * ddx & |
|---|
| 3540 | + ( v_comp + gv - ( v(k+1,j,i) + v(k,j,i) ) ) * ddy & |
|---|
| 3541 | + ( w_comp - ( w(k,j,i) + w(k-1,j,i) ) ) & |
|---|
| 3542 | * ddzu(k+1) & |
|---|
| 3543 | ) * 0.5 |
|---|
| 3544 | |
|---|
| 3545 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 3546 | ( flux_r(k) + diss_r(k) & |
|---|
| 3547 | - swap_flux_x_local_w(k,j) - swap_diss_x_local_w(k,j) & |
|---|
| 3548 | ) * ddx & |
|---|
| 3549 | + ( flux_n(k) + diss_n(k) & |
|---|
| 3550 | - swap_flux_y_local_w(k) - swap_diss_y_local_w(k) & |
|---|
| 3551 | ) * ddy & |
|---|
| 3552 | + ( flux_t(k) + diss_t(k) & |
|---|
| 3553 | - flux_d - diss_d & |
|---|
| 3554 | ) * ddzu(k+1) & |
|---|
| 3555 | ) + div * w(k,j,i) |
|---|
| 3556 | |
|---|
| 3557 | swap_flux_x_local_w(k,j) = flux_r(k) |
|---|
| 3558 | swap_diss_x_local_w(k,j) = diss_r(k) |
|---|
| 3559 | swap_flux_y_local_w(k) = flux_n(k) |
|---|
| 3560 | swap_diss_y_local_w(k) = diss_n(k) |
|---|
| 3561 | flux_d = flux_t(k) |
|---|
| 3562 | diss_d = diss_t(k) |
|---|
| 3563 | |
|---|
| 3564 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
|---|
| 3565 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 3566 | * weight_substep(intermediate_timestep_count) |
|---|
| 3567 | |
|---|
| 3568 | ENDDO |
|---|
| 3569 | ENDDO |
|---|
| 3570 | ENDDO |
|---|
| 3571 | |
|---|
| 3572 | END SUBROUTINE advec_w_ws |
|---|
| 3573 | |
|---|
| 3574 | END MODULE advec_ws |
|---|
