| 1 | SUBROUTINE pres |
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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 | ! |
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| 8 | ! Former revisions: |
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| 9 | ! ----------------- |
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| 10 | ! $Id: pres.f90 1004 2012-09-14 14:56:50Z franke $ |
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| 11 | ! |
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| 12 | ! 1003 2012-09-14 14:35:53Z raasch |
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| 13 | ! adjustment of array tend for cases with unequal subdomain sizes removed |
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| 14 | ! |
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| 15 | ! 778 2011-11-07 14:18:25Z fricke |
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| 16 | ! New allocation of tend when multigrid is used and the collected field on PE0 |
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| 17 | ! has more grid points than the subdomain of an PE. |
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| 18 | ! |
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| 19 | ! 719 2011-04-06 13:05:23Z gryschka |
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| 20 | ! Bugfix in volume flow control for double cyclic boundary conditions |
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| 21 | ! |
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| 22 | ! 709 2011-03-30 09:31:40Z raasch |
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| 23 | ! formatting adjustments |
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| 24 | ! |
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| 25 | ! 707 2011-03-29 11:39:40Z raasch |
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| 26 | ! Calculation of weighted average of p is now handled in the same way |
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| 27 | ! regardless of the number of ghost layers (advection scheme), |
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| 28 | ! multigrid and sor method are using p_loc for iterative advancements of |
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| 29 | ! pressure, |
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| 30 | ! localsum calculation modified for proper OpenMP reduction, |
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| 31 | ! bc_lr/ns replaced by bc_lr/ns_cyc |
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| 32 | ! |
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| 33 | ! 693 2011-03-08 09:..:..Z raasch |
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| 34 | ! bugfix: weighting coefficient added to ibm branch |
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| 35 | ! |
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| 36 | ! 680 2011-02-04 23:16:06Z gryschka |
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| 37 | ! bugfix: collective_wait |
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| 38 | ! |
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| 39 | ! 675 2011-01-19 10:56:55Z suehring |
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| 40 | ! Removed bugfix while copying tend. |
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| 41 | ! |
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| 42 | ! 673 2011-01-18 16:19:48Z suehring |
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| 43 | ! Weighting coefficients added for right computation of the pressure during |
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| 44 | ! Runge-Kutta substeps. |
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| 45 | ! |
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| 46 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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| 47 | ! New allocation of tend when ws-scheme and multigrid is used. This is due to |
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| 48 | ! reasons of perforance of the data_exchange. The same is done with p after |
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| 49 | ! poismg is called. |
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| 50 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng when no |
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| 51 | ! multigrid is used. Calls of exchange_horiz are modified. |
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| 52 | ! bugfix: After pressure correction no volume flow correction in case of |
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| 53 | ! non-cyclic boundary conditions |
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| 54 | ! (has to be done only before pressure correction) |
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| 55 | ! Call of SOR routine is referenced with ddzu_pres. |
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| 56 | ! |
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| 57 | ! 622 2010-12-10 08:08:13Z raasch |
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| 58 | ! optional barriers included in order to speed up collective operations |
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| 59 | ! |
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| 60 | ! 151 2008-03-07 13:42:18Z raasch |
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| 61 | ! Bugfix in volume flow control for non-cyclic boundary conditions |
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| 62 | ! |
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| 63 | ! 106 2007-08-16 14:30:26Z raasch |
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| 64 | ! Volume flow conservation added for the remaining three outflow boundaries |
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| 65 | ! |
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| 66 | ! 85 2007-05-11 09:35:14Z raasch |
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| 67 | ! Division through dt_3d replaced by multiplication of the inverse. |
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| 68 | ! For performance optimisation, this is done in the loop calculating the |
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| 69 | ! divergence instead of using a seperate loop. |
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| 70 | ! |
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| 71 | ! 75 2007-03-22 09:54:05Z raasch |
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| 72 | ! Volume flow control for non-cyclic boundary conditions added (currently only |
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| 73 | ! for the north boundary!!), 2nd+3rd argument removed from exchange horiz, |
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| 74 | ! mean vertical velocity is removed in case of Neumann boundary conditions |
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| 75 | ! both at the bottom and the top |
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| 76 | ! |
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| 77 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 78 | ! |
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| 79 | ! Revision 1.25 2006/04/26 13:26:12 raasch |
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| 80 | ! OpenMP optimization (+localsum, threadsum) |
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| 81 | ! |
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| 82 | ! Revision 1.1 1997/07/24 11:24:44 raasch |
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| 83 | ! Initial revision |
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| 84 | ! |
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| 85 | ! |
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| 86 | ! Description: |
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| 87 | ! ------------ |
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| 88 | ! Compute the divergence of the provisional velocity field. Solve the Poisson |
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| 89 | ! equation for the perturbation pressure. Compute the final velocities using |
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| 90 | ! this perturbation pressure. Compute the remaining divergence. |
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| 91 | !------------------------------------------------------------------------------! |
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| 92 | |
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| 93 | USE arrays_3d |
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| 94 | USE constants |
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| 95 | USE control_parameters |
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| 96 | USE cpulog |
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| 97 | USE grid_variables |
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| 98 | USE indices |
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| 99 | USE interfaces |
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| 100 | USE pegrid |
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| 101 | USE poisfft_mod |
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| 102 | USE poisfft_hybrid_mod |
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| 103 | USE statistics |
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| 104 | |
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| 105 | IMPLICIT NONE |
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| 106 | |
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| 107 | INTEGER :: i, j, k, sr |
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| 108 | |
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| 109 | REAL :: ddt_3d, localsum, threadsum, d_weight_pres |
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| 110 | |
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| 111 | REAL, DIMENSION(1:2) :: volume_flow_l, volume_flow_offset |
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| 112 | REAL, DIMENSION(1:nzt) :: w_l, w_l_l |
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| 113 | |
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| 114 | |
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| 115 | CALL cpu_log( log_point(8), 'pres', 'start' ) |
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| 116 | |
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| 117 | |
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| 118 | ddt_3d = 1.0 / dt_3d |
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| 119 | d_weight_pres = 1.0 / weight_pres(intermediate_timestep_count) |
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| 120 | |
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| 121 | ! |
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| 122 | !-- Multigrid method expects array d to have one ghost layer. |
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| 123 | !-- |
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| 124 | IF ( psolver == 'multigrid' ) THEN |
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| 125 | |
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| 126 | DEALLOCATE( d ) |
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| 127 | ALLOCATE( d(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) ) |
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| 128 | |
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| 129 | ! |
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| 130 | !-- Since p is later used to hold the weighted average of the substeps, it |
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| 131 | !-- cannot be used in the iterative solver. Therefore, its initial value is |
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| 132 | !-- stored on p_loc, which is then iteratively advanced in every substep. |
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| 133 | IF ( intermediate_timestep_count == 1 ) THEN |
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| 134 | DO i = nxl-1, nxr+1 |
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| 135 | DO j = nys-1, nyn+1 |
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| 136 | DO k = nzb, nzt+1 |
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| 137 | p_loc(k,j,i) = p(k,j,i) |
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| 138 | ENDDO |
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| 139 | ENDDO |
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| 140 | ENDDO |
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| 141 | ENDIF |
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| 142 | |
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| 143 | ELSEIF ( psolver == 'sor' .AND. intermediate_timestep_count == 1 ) THEN |
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| 144 | |
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| 145 | ! |
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| 146 | !-- Since p is later used to hold the weighted average of the substeps, it |
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| 147 | !-- cannot be used in the iterative solver. Therefore, its initial value is |
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| 148 | !-- stored on p_loc, which is then iteratively advanced in every substep. |
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| 149 | p_loc = p |
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| 150 | |
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| 151 | ENDIF |
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| 152 | |
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| 153 | ! |
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| 154 | !-- Conserve the volume flow at the outflow in case of non-cyclic lateral |
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| 155 | !-- boundary conditions |
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| 156 | !-- WARNING: so far, this conservation does not work at the left/south |
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| 157 | !-- boundary if the topography at the inflow differs from that at the |
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| 158 | !-- outflow! For this case, volume_flow_area needs adjustment! |
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| 159 | ! |
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| 160 | !-- Left/right |
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| 161 | IF ( conserve_volume_flow .AND. ( outflow_l .OR. outflow_r ) ) THEN |
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| 162 | |
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| 163 | volume_flow(1) = 0.0 |
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| 164 | volume_flow_l(1) = 0.0 |
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| 165 | |
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| 166 | IF ( outflow_l ) THEN |
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| 167 | i = 0 |
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| 168 | ELSEIF ( outflow_r ) THEN |
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| 169 | i = nx+1 |
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| 170 | ENDIF |
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| 171 | |
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| 172 | DO j = nys, nyn |
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| 173 | ! |
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| 174 | !-- Sum up the volume flow through the south/north boundary |
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| 175 | DO k = nzb_2d(j,i)+1, nzt |
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| 176 | volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k) |
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| 177 | ENDDO |
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| 178 | ENDDO |
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| 179 | |
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| 180 | #if defined( __parallel ) |
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| 181 | IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr ) |
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| 182 | CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 1, MPI_REAL, & |
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| 183 | MPI_SUM, comm1dy, ierr ) |
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| 184 | #else |
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| 185 | volume_flow = volume_flow_l |
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| 186 | #endif |
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| 187 | volume_flow_offset(1) = ( volume_flow_initial(1) - volume_flow(1) ) & |
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| 188 | / volume_flow_area(1) |
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| 189 | |
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| 190 | DO j = nysg, nyng |
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| 191 | DO k = nzb_2d(j,i)+1, nzt |
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| 192 | u(k,j,i) = u(k,j,i) + volume_flow_offset(1) |
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| 193 | ENDDO |
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| 194 | ENDDO |
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| 195 | |
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| 196 | ENDIF |
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| 197 | |
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| 198 | ! |
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| 199 | !-- South/north |
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| 200 | IF ( conserve_volume_flow .AND. ( outflow_n .OR. outflow_s ) ) THEN |
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| 201 | |
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| 202 | volume_flow(2) = 0.0 |
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| 203 | volume_flow_l(2) = 0.0 |
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| 204 | |
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| 205 | IF ( outflow_s ) THEN |
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| 206 | j = 0 |
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| 207 | ELSEIF ( outflow_n ) THEN |
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| 208 | j = ny+1 |
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| 209 | ENDIF |
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| 210 | |
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| 211 | DO i = nxl, nxr |
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| 212 | ! |
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| 213 | !-- Sum up the volume flow through the south/north boundary |
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| 214 | DO k = nzb_2d(j,i)+1, nzt |
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| 215 | volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k) |
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| 216 | ENDDO |
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| 217 | ENDDO |
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| 218 | |
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| 219 | #if defined( __parallel ) |
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| 220 | IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr ) |
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| 221 | CALL MPI_ALLREDUCE( volume_flow_l(2), volume_flow(2), 1, MPI_REAL, & |
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| 222 | MPI_SUM, comm1dx, ierr ) |
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| 223 | #else |
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| 224 | volume_flow = volume_flow_l |
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| 225 | #endif |
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| 226 | volume_flow_offset(2) = ( volume_flow_initial(2) - volume_flow(2) ) & |
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| 227 | / volume_flow_area(2) |
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| 228 | |
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| 229 | DO i = nxlg, nxrg |
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| 230 | DO k = nzb_v_inner(j,i)+1, nzt |
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| 231 | v(k,j,i) = v(k,j,i) + volume_flow_offset(2) |
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| 232 | ENDDO |
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| 233 | ENDDO |
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| 234 | |
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| 235 | ENDIF |
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| 236 | |
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| 237 | ! |
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| 238 | !-- Remove mean vertical velocity |
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| 239 | IF ( ibc_p_b == 1 .AND. ibc_p_t == 1 ) THEN |
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| 240 | IF ( simulated_time > 0.0 ) THEN ! otherwise nzb_w_inner not yet known |
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| 241 | w_l = 0.0; w_l_l = 0.0 |
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| 242 | DO i = nxl, nxr |
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| 243 | DO j = nys, nyn |
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| 244 | DO k = nzb_w_inner(j,i)+1, nzt |
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| 245 | w_l_l(k) = w_l_l(k) + w(k,j,i) |
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| 246 | ENDDO |
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| 247 | ENDDO |
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| 248 | ENDDO |
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| 249 | #if defined( __parallel ) |
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| 250 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 251 | CALL MPI_ALLREDUCE( w_l_l(1), w_l(1), nzt, MPI_REAL, MPI_SUM, & |
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| 252 | comm2d, ierr ) |
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| 253 | #else |
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| 254 | w_l = w_l_l |
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| 255 | #endif |
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| 256 | DO k = 1, nzt |
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| 257 | w_l(k) = w_l(k) / ngp_2dh_outer(k,0) |
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| 258 | ENDDO |
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| 259 | DO i = nxlg, nxrg |
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| 260 | DO j = nysg, nyng |
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| 261 | DO k = nzb_w_inner(j,i)+1, nzt |
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| 262 | w(k,j,i) = w(k,j,i) - w_l(k) |
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| 263 | ENDDO |
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| 264 | ENDDO |
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| 265 | ENDDO |
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| 266 | ENDIF |
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| 267 | ENDIF |
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| 268 | |
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| 269 | ! |
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| 270 | !-- Compute the divergence of the provisional velocity field. |
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| 271 | CALL cpu_log( log_point_s(1), 'divergence', 'start' ) |
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| 272 | |
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| 273 | IF ( psolver == 'multigrid' ) THEN |
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| 274 | !$OMP PARALLEL DO SCHEDULE( STATIC ) |
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| 275 | DO i = nxl-1, nxr+1 |
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| 276 | DO j = nys-1, nyn+1 |
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| 277 | DO k = nzb, nzt+1 |
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| 278 | d(k,j,i) = 0.0 |
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| 279 | ENDDO |
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| 280 | ENDDO |
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| 281 | ENDDO |
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| 282 | ELSE |
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| 283 | !$OMP PARALLEL DO SCHEDULE( STATIC ) |
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| 284 | DO i = nxl, nxr |
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| 285 | DO j = nys, nyn |
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| 286 | DO k = nzb+1, nzt |
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| 287 | d(k,j,i) = 0.0 |
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| 288 | ENDDO |
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| 289 | ENDDO |
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| 290 | ENDDO |
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| 291 | ENDIF |
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| 292 | |
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| 293 | localsum = 0.0 |
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| 294 | threadsum = 0.0 |
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| 295 | |
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| 296 | #if defined( __ibm ) |
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| 297 | !$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum) |
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| 298 | !$OMP DO SCHEDULE( STATIC ) |
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| 299 | DO i = nxl, nxr |
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| 300 | DO j = nys, nyn |
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| 301 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 302 | d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
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| 303 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
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| 304 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d & |
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| 305 | * d_weight_pres |
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| 306 | ENDDO |
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| 307 | ! |
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| 308 | !-- Additional pressure boundary condition at the bottom boundary for |
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| 309 | !-- inhomogeneous Prandtl layer heat fluxes and temperatures, respectively |
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| 310 | !-- dp/dz = -(dtau13/dx + dtau23/dy) + g*pt'/pt0. |
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| 311 | !-- This condition must not be applied at the start of a run, because then |
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| 312 | !-- flow_statistics has not yet been called and thus sums = 0. |
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| 313 | IF ( ibc_p_b == 2 .AND. sums(nzb+1,4) /= 0.0 ) THEN |
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| 314 | k = nzb_s_inner(j,i) |
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| 315 | d(k+1,j,i) = d(k+1,j,i) + ( & |
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| 316 | ( usws(j,i+1) - usws(j,i) ) * ddx & |
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| 317 | + ( vsws(j+1,i) - vsws(j,i) ) * ddy & |
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| 318 | - g * ( pt(k+1,j,i) - sums(k+1,4) ) / & |
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| 319 | sums(k+1,4) & |
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| 320 | ) * ddzw(k+1) * ddt_3d * d_weight_pres |
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| 321 | ENDIF |
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| 322 | |
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| 323 | ! |
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| 324 | !-- Compute possible PE-sum of divergences for flow_statistics |
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| 325 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 326 | threadsum = threadsum + ABS( d(k,j,i) ) |
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| 327 | ENDDO |
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| 328 | |
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| 329 | ENDDO |
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| 330 | ENDDO |
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| 331 | |
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| 332 | localsum = localsum + threadsum * dt_3d * & |
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| 333 | weight_pres(intermediate_timestep_count) |
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| 334 | |
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| 335 | !$OMP END PARALLEL |
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| 336 | #else |
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| 337 | IF ( ibc_p_b == 2 .AND. sums(nzb+1,4) /= 0.0 ) THEN |
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| 338 | !$OMP PARALLEL PRIVATE (i,j,k) |
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| 339 | !$OMP DO SCHEDULE( STATIC ) |
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| 340 | DO i = nxl, nxr |
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| 341 | DO j = nys, nyn |
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| 342 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 343 | d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
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| 344 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
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| 345 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d & |
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| 346 | * d_weight_pres |
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| 347 | ENDDO |
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| 348 | ENDDO |
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| 349 | ! |
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| 350 | !-- Additional pressure boundary condition at the bottom boundary for |
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| 351 | !-- inhomogeneous Prandtl layer heat fluxes and temperatures, respectively |
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| 352 | !-- dp/dz = -(dtau13/dx + dtau23/dy) + g*pt'/pt0. |
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| 353 | !-- This condition must not be applied at the start of a run, because then |
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| 354 | !-- flow_statistics has not yet been called and thus sums = 0. |
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| 355 | DO j = nys, nyn |
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| 356 | k = nzb_s_inner(j,i) |
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| 357 | d(k+1,j,i) = d(k+1,j,i) + ( & |
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| 358 | ( usws(j,i+1) - usws(j,i) ) * ddx & |
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| 359 | + ( vsws(j+1,i) - vsws(j,i) ) * ddy & |
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| 360 | - g * ( pt(k+1,j,i) - sums(k+1,4) ) / & |
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| 361 | sums(k+1,4) & |
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| 362 | ) * ddzw(k+1) * ddt_3d & |
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| 363 | * d_weight_pres |
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| 364 | ENDDO |
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| 365 | ENDDO |
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| 366 | !$OMP END PARALLEL |
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| 367 | |
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| 368 | ELSE |
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| 369 | |
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| 370 | !$OMP PARALLEL PRIVATE (i,j,k) |
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| 371 | !$OMP DO SCHEDULE( STATIC ) |
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| 372 | DO i = nxl, nxr |
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| 373 | DO j = nys, nyn |
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| 374 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 375 | d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
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| 376 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
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| 377 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d & |
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| 378 | * d_weight_pres |
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| 379 | ENDDO |
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| 380 | ENDDO |
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| 381 | ENDDO |
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| 382 | !$OMP END PARALLEL |
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| 383 | |
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| 384 | ENDIF |
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| 385 | |
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| 386 | ! |
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| 387 | !-- Compute possible PE-sum of divergences for flow_statistics |
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| 388 | !$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum) |
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| 389 | !$OMP DO SCHEDULE( STATIC ) |
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| 390 | DO i = nxl, nxr |
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| 391 | DO j = nys, nyn |
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| 392 | DO k = nzb+1, nzt |
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| 393 | threadsum = threadsum + ABS( d(k,j,i) ) |
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| 394 | ENDDO |
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| 395 | ENDDO |
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| 396 | ENDDO |
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| 397 | localsum = localsum + threadsum * dt_3d * & |
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| 398 | weight_pres(intermediate_timestep_count) |
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| 399 | !$OMP END PARALLEL |
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| 400 | #endif |
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| 401 | |
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| 402 | ! |
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| 403 | !-- For completeness, set the divergence sum of all statistic regions to those |
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| 404 | !-- of the total domain |
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| 405 | sums_divold_l(0:statistic_regions) = localsum |
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| 406 | |
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| 407 | CALL cpu_log( log_point_s(1), 'divergence', 'stop' ) |
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| 408 | |
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| 409 | ! |
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| 410 | !-- Compute the pressure perturbation solving the Poisson equation |
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| 411 | IF ( psolver(1:7) == 'poisfft' ) THEN |
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| 412 | |
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| 413 | ! |
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| 414 | !-- Solve Poisson equation via FFT and solution of tridiagonal matrices |
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| 415 | IF ( psolver == 'poisfft' ) THEN |
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| 416 | ! |
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| 417 | !-- Solver for 2d-decomposition |
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| 418 | CALL poisfft( d, tend ) |
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| 419 | ELSEIF ( psolver == 'poisfft_hybrid' ) THEN |
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| 420 | ! |
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| 421 | !-- Solver for 1d-decomposition (using MPI and OpenMP). |
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| 422 | !-- The old hybrid-solver is still included here, as long as there |
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| 423 | !-- are some optimization problems in poisfft |
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| 424 | CALL poisfft_hybrid( d ) |
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| 425 | ENDIF |
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| 426 | |
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| 427 | ! |
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| 428 | !-- Store computed perturbation pressure and set boundary condition in |
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| 429 | !-- z-direction |
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| 430 | !$OMP PARALLEL DO |
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| 431 | DO i = nxl, nxr |
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| 432 | DO j = nys, nyn |
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| 433 | DO k = nzb+1, nzt |
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| 434 | tend(k,j,i) = d(k,j,i) |
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| 435 | ENDDO |
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| 436 | ENDDO |
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| 437 | ENDDO |
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| 438 | |
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| 439 | ! |
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| 440 | !-- Bottom boundary: |
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| 441 | !-- This condition is only required for internal output. The pressure |
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| 442 | !-- gradient (dp(nzb+1)-dp(nzb))/dz is not used anywhere else. |
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| 443 | IF ( ibc_p_b == 1 ) THEN |
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| 444 | ! |
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| 445 | !-- Neumann (dp/dz = 0) |
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| 446 | !$OMP PARALLEL DO |
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| 447 | DO i = nxlg, nxrg |
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| 448 | DO j = nysg, nyng |
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| 449 | tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i) |
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| 450 | ENDDO |
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| 451 | ENDDO |
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| 452 | |
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| 453 | ELSEIF ( ibc_p_b == 2 ) THEN |
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| 454 | ! |
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| 455 | !-- Neumann condition for inhomogeneous surfaces, |
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| 456 | !-- here currently still in the form of a zero gradient. Actually |
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| 457 | !-- dp/dz = -(dtau13/dx + dtau23/dy) + g*pt'/pt0 would have to be used for |
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| 458 | !-- the computation (cf. above: computation of divergences). |
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| 459 | !$OMP PARALLEL DO |
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| 460 | DO i = nxlg, nxrg |
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| 461 | DO j = nysg, nyng |
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| 462 | tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i) |
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| 463 | ENDDO |
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| 464 | ENDDO |
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| 465 | |
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| 466 | ELSE |
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| 467 | ! |
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| 468 | !-- Dirichlet |
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| 469 | !$OMP PARALLEL DO |
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| 470 | DO i = nxlg, nxrg |
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| 471 | DO j = nysg, nyng |
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| 472 | tend(nzb_s_inner(j,i),j,i) = 0.0 |
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| 473 | ENDDO |
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| 474 | ENDDO |
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| 475 | |
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| 476 | ENDIF |
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| 477 | |
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| 478 | ! |
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| 479 | !-- Top boundary |
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| 480 | IF ( ibc_p_t == 1 ) THEN |
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| 481 | ! |
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| 482 | !-- Neumann |
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| 483 | !$OMP PARALLEL DO |
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| 484 | DO i = nxlg, nxrg |
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| 485 | DO j = nysg, nyng |
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| 486 | tend(nzt+1,j,i) = tend(nzt,j,i) |
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| 487 | ENDDO |
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| 488 | ENDDO |
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| 489 | |
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| 490 | ELSE |
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| 491 | ! |
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| 492 | !-- Dirichlet |
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| 493 | !$OMP PARALLEL DO |
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| 494 | DO i = nxlg, nxrg |
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| 495 | DO j = nysg, nyng |
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| 496 | tend(nzt+1,j,i) = 0.0 |
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| 497 | ENDDO |
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| 498 | ENDDO |
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| 499 | |
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| 500 | ENDIF |
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| 501 | |
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| 502 | ! |
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| 503 | !-- Exchange boundaries for p |
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| 504 | CALL exchange_horiz( tend, nbgp ) |
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| 505 | |
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| 506 | ELSEIF ( psolver == 'sor' ) THEN |
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| 507 | |
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| 508 | ! |
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| 509 | !-- Solve Poisson equation for perturbation pressure using SOR-Red/Black |
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| 510 | !-- scheme |
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| 511 | CALL sor( d, ddzu_pres, ddzw, p_loc ) |
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| 512 | tend = p_loc |
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| 513 | |
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| 514 | ELSEIF ( psolver == 'multigrid' ) THEN |
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| 515 | |
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| 516 | ! |
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| 517 | !-- Solve Poisson equation for perturbation pressure using Multigrid scheme, |
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| 518 | !-- array tend is used to store the residuals, logical exchange_mg is used |
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| 519 | !-- to discern data exchange in multigrid ( 1 ghostpoint ) and normal grid |
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| 520 | !-- ( nbgp ghost points ). |
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| 521 | |
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| 522 | !-- If the number of grid points of the gathered grid, which is collected |
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| 523 | !-- on PE0, is larger than the number of grid points of an PE, than array |
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| 524 | !-- tend will be enlarged. |
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| 525 | IF ( gathered_size > subdomain_size ) THEN |
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| 526 | DEALLOCATE( tend ) |
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| 527 | ALLOCATE( tend(nzb:nzt_mg(mg_switch_to_pe0_level)+1,nys_mg( & |
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| 528 | mg_switch_to_pe0_level)-1:nyn_mg(mg_switch_to_pe0_level)+1,& |
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| 529 | nxl_mg(mg_switch_to_pe0_level)-1:nxr_mg( & |
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| 530 | mg_switch_to_pe0_level)+1) ) |
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| 531 | ENDIF |
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| 532 | |
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| 533 | CALL poismg( tend ) |
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| 534 | |
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| 535 | IF ( gathered_size > subdomain_size ) THEN |
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| 536 | DEALLOCATE( tend ) |
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| 537 | ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
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| 538 | ENDIF |
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| 539 | |
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| 540 | ! |
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| 541 | !-- Restore perturbation pressure on tend because this array is used |
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| 542 | !-- further below to correct the velocity fields |
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| 543 | DO i = nxl-1, nxr+1 |
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| 544 | DO j = nys-1, nyn+1 |
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| 545 | DO k = nzb, nzt+1 |
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| 546 | tend(k,j,i) = p_loc(k,j,i) |
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| 547 | ENDDO |
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| 548 | ENDDO |
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| 549 | ENDDO |
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| 550 | |
|---|
| 551 | ENDIF |
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| 552 | |
|---|
| 553 | ! |
|---|
| 554 | !-- Store perturbation pressure on array p, used for pressure data output. |
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| 555 | !-- Ghost layers are added in the output routines (except sor-method: see below) |
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| 556 | IF ( intermediate_timestep_count == 1 ) THEN |
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| 557 | !$OMP PARALLEL PRIVATE (i,j,k) |
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| 558 | !$OMP DO |
|---|
| 559 | DO i = nxl-1, nxr+1 |
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| 560 | DO j = nys-1, nyn+1 |
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| 561 | DO k = nzb, nzt+1 |
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| 562 | p(k,j,i) = tend(k,j,i) * & |
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| 563 | weight_substep(intermediate_timestep_count) |
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| 564 | ENDDO |
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| 565 | ENDDO |
|---|
| 566 | ENDDO |
|---|
| 567 | !$OMP END PARALLEL |
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| 568 | |
|---|
| 569 | ELSE |
|---|
| 570 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 571 | !$OMP DO |
|---|
| 572 | DO i = nxl-1, nxr+1 |
|---|
| 573 | DO j = nys-1, nyn+1 |
|---|
| 574 | DO k = nzb, nzt+1 |
|---|
| 575 | p(k,j,i) = p(k,j,i) + tend(k,j,i) * & |
|---|
| 576 | weight_substep(intermediate_timestep_count) |
|---|
| 577 | ENDDO |
|---|
| 578 | ENDDO |
|---|
| 579 | ENDDO |
|---|
| 580 | !$OMP END PARALLEL |
|---|
| 581 | |
|---|
| 582 | ENDIF |
|---|
| 583 | |
|---|
| 584 | ! |
|---|
| 585 | !-- SOR-method needs ghost layers for the next timestep |
|---|
| 586 | IF ( psolver == 'sor' ) CALL exchange_horiz( p, nbgp ) |
|---|
| 587 | |
|---|
| 588 | ! |
|---|
| 589 | !-- Correction of the provisional velocities with the current perturbation |
|---|
| 590 | !-- pressure just computed |
|---|
| 591 | IF ( conserve_volume_flow .AND. ( bc_lr_cyc .OR. bc_ns_cyc ) ) THEN |
|---|
| 592 | volume_flow_l(1) = 0.0 |
|---|
| 593 | volume_flow_l(2) = 0.0 |
|---|
| 594 | ENDIF |
|---|
| 595 | |
|---|
| 596 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 597 | !$OMP DO |
|---|
| 598 | DO i = nxl, nxr |
|---|
| 599 | DO j = nys, nyn |
|---|
| 600 | DO k = nzb_w_inner(j,i)+1, nzt |
|---|
| 601 | w(k,j,i) = w(k,j,i) - dt_3d * & |
|---|
| 602 | ( tend(k+1,j,i) - tend(k,j,i) ) * ddzu(k+1) * & |
|---|
| 603 | weight_pres(intermediate_timestep_count) |
|---|
| 604 | ENDDO |
|---|
| 605 | DO k = nzb_u_inner(j,i)+1, nzt |
|---|
| 606 | u(k,j,i) = u(k,j,i) - dt_3d * & |
|---|
| 607 | ( tend(k,j,i) - tend(k,j,i-1) ) * ddx * & |
|---|
| 608 | weight_pres(intermediate_timestep_count) |
|---|
| 609 | ENDDO |
|---|
| 610 | DO k = nzb_v_inner(j,i)+1, nzt |
|---|
| 611 | v(k,j,i) = v(k,j,i) - dt_3d * & |
|---|
| 612 | ( tend(k,j,i) - tend(k,j-1,i) ) * ddy * & |
|---|
| 613 | weight_pres(intermediate_timestep_count) |
|---|
| 614 | ENDDO |
|---|
| 615 | ! |
|---|
| 616 | !-- Sum up the volume flow through the right and north boundary |
|---|
| 617 | IF ( conserve_volume_flow .AND. bc_lr_cyc .AND. bc_ns_cyc .AND. & |
|---|
| 618 | i == nx ) THEN |
|---|
| 619 | !$OMP CRITICAL |
|---|
| 620 | DO k = nzb_2d(j,i) + 1, nzt |
|---|
| 621 | volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k) |
|---|
| 622 | ENDDO |
|---|
| 623 | !$OMP END CRITICAL |
|---|
| 624 | ENDIF |
|---|
| 625 | IF ( conserve_volume_flow .AND. bc_ns_cyc .AND. bc_lr_cyc .AND. & |
|---|
| 626 | j == ny ) THEN |
|---|
| 627 | !$OMP CRITICAL |
|---|
| 628 | DO k = nzb_2d(j,i) + 1, nzt |
|---|
| 629 | volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k) |
|---|
| 630 | ENDDO |
|---|
| 631 | !$OMP END CRITICAL |
|---|
| 632 | ENDIF |
|---|
| 633 | |
|---|
| 634 | ENDDO |
|---|
| 635 | ENDDO |
|---|
| 636 | !$OMP END PARALLEL |
|---|
| 637 | |
|---|
| 638 | ! |
|---|
| 639 | !-- Conserve the volume flow |
|---|
| 640 | IF ( conserve_volume_flow .AND. ( bc_lr_cyc .AND. bc_ns_cyc ) ) THEN |
|---|
| 641 | |
|---|
| 642 | #if defined( __parallel ) |
|---|
| 643 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
|---|
| 644 | CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 2, MPI_REAL, & |
|---|
| 645 | MPI_SUM, comm2d, ierr ) |
|---|
| 646 | #else |
|---|
| 647 | volume_flow = volume_flow_l |
|---|
| 648 | #endif |
|---|
| 649 | |
|---|
| 650 | volume_flow_offset = ( volume_flow_initial - volume_flow ) / & |
|---|
| 651 | volume_flow_area |
|---|
| 652 | |
|---|
| 653 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 654 | !$OMP DO |
|---|
| 655 | DO i = nxl, nxr |
|---|
| 656 | DO j = nys, nyn |
|---|
| 657 | DO k = nzb_u_inner(j,i) + 1, nzt |
|---|
| 658 | u(k,j,i) = u(k,j,i) + volume_flow_offset(1) |
|---|
| 659 | ENDDO |
|---|
| 660 | DO k = nzb_v_inner(j,i) + 1, nzt |
|---|
| 661 | v(k,j,i) = v(k,j,i) + volume_flow_offset(2) |
|---|
| 662 | ENDDO |
|---|
| 663 | ENDDO |
|---|
| 664 | ENDDO |
|---|
| 665 | |
|---|
| 666 | !$OMP END PARALLEL |
|---|
| 667 | |
|---|
| 668 | ENDIF |
|---|
| 669 | |
|---|
| 670 | ! |
|---|
| 671 | !-- Exchange of boundaries for the velocities |
|---|
| 672 | CALL exchange_horiz( u, nbgp ) |
|---|
| 673 | CALL exchange_horiz( v, nbgp ) |
|---|
| 674 | CALL exchange_horiz( w, nbgp ) |
|---|
| 675 | |
|---|
| 676 | ! |
|---|
| 677 | !-- Compute the divergence of the corrected velocity field, |
|---|
| 678 | !-- a possible PE-sum is computed in flow_statistics |
|---|
| 679 | CALL cpu_log( log_point_s(1), 'divergence', 'start' ) |
|---|
| 680 | sums_divnew_l = 0.0 |
|---|
| 681 | |
|---|
| 682 | ! |
|---|
| 683 | !-- d must be reset to zero because it can contain nonzero values below the |
|---|
| 684 | !-- topography |
|---|
| 685 | IF ( topography /= 'flat' ) d = 0.0 |
|---|
| 686 | |
|---|
| 687 | localsum = 0.0 |
|---|
| 688 | threadsum = 0.0 |
|---|
| 689 | |
|---|
| 690 | !$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum) |
|---|
| 691 | !$OMP DO SCHEDULE( STATIC ) |
|---|
| 692 | #if defined( __ibm ) |
|---|
| 693 | DO i = nxl, nxr |
|---|
| 694 | DO j = nys, nyn |
|---|
| 695 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 696 | d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
|---|
| 697 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
|---|
| 698 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 699 | ENDDO |
|---|
| 700 | DO k = nzb+1, nzt |
|---|
| 701 | threadsum = threadsum + ABS( d(k,j,i) ) |
|---|
| 702 | ENDDO |
|---|
| 703 | ENDDO |
|---|
| 704 | ENDDO |
|---|
| 705 | #else |
|---|
| 706 | DO i = nxl, nxr |
|---|
| 707 | DO j = nys, nyn |
|---|
| 708 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 709 | d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
|---|
| 710 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
|---|
| 711 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 712 | threadsum = threadsum + ABS( d(k,j,i) ) |
|---|
| 713 | ENDDO |
|---|
| 714 | ENDDO |
|---|
| 715 | ENDDO |
|---|
| 716 | #endif |
|---|
| 717 | |
|---|
| 718 | localsum = localsum + threadsum |
|---|
| 719 | !$OMP END PARALLEL |
|---|
| 720 | |
|---|
| 721 | ! |
|---|
| 722 | !-- For completeness, set the divergence sum of all statistic regions to those |
|---|
| 723 | !-- of the total domain |
|---|
| 724 | sums_divnew_l(0:statistic_regions) = localsum |
|---|
| 725 | |
|---|
| 726 | CALL cpu_log( log_point_s(1), 'divergence', 'stop' ) |
|---|
| 727 | |
|---|
| 728 | CALL cpu_log( log_point(8), 'pres', 'stop' ) |
|---|
| 729 | |
|---|
| 730 | |
|---|
| 731 | |
|---|
| 732 | END SUBROUTINE pres |
|---|
