| 1 | SUBROUTINE boundary_conds( range ) |
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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: boundary_conds.f90 484 2010-02-05 07:36:54Z weinreis $ |
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| 11 | ! |
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| 12 | ! 107 2007-08-17 13:54:45Z raasch |
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| 13 | ! Boundary conditions for temperature adjusted for coupled runs, |
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| 14 | ! bugfixes for the radiation boundary conditions at the outflow: radiation |
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| 15 | ! conditions are used for every substep, phase speeds are calculated for the |
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| 16 | ! first Runge-Kutta substep only and then reused, several index values changed |
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| 17 | ! |
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| 18 | ! 95 2007-06-02 16:48:38Z raasch |
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| 19 | ! Boundary conditions for salinity added |
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| 20 | ! |
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| 21 | ! 75 2007-03-22 09:54:05Z raasch |
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| 22 | ! The "main" part sets conditions for time level t+dt instead of level t, |
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| 23 | ! outflow boundary conditions changed from Neumann to radiation condition, |
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| 24 | ! uxrp, vynp eliminated, moisture renamed humidity |
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| 25 | ! |
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| 26 | ! 19 2007-02-23 04:53:48Z raasch |
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| 27 | ! Boundary conditions for e(nzt), pt(nzt), and q(nzt) removed because these |
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| 28 | ! gridpoints are now calculated by the prognostic equation, |
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| 29 | ! Dirichlet and zero gradient condition for pt established at top boundary |
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| 30 | ! |
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| 31 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 32 | ! |
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| 33 | ! Revision 1.15 2006/02/23 09:54:55 raasch |
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| 34 | ! Surface boundary conditions in case of topography: nzb replaced by |
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| 35 | ! 2d-k-index-arrays (nzb_w_inner, etc.). Conditions for u and v remain |
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| 36 | ! unchanged (still using nzb) because a non-flat topography must use a |
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| 37 | ! Prandtl-layer, which don't requires explicit setting of the surface values. |
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| 38 | ! |
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| 39 | ! Revision 1.1 1997/09/12 06:21:34 raasch |
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| 40 | ! Initial revision |
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| 41 | ! |
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| 42 | ! |
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| 43 | ! Description: |
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| 44 | ! ------------ |
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| 45 | ! Boundary conditions for the prognostic quantities (range='main'). |
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| 46 | ! In case of non-cyclic lateral boundaries the conditions for velocities at |
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| 47 | ! the outflow are set after the pressure solver has been called (range= |
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| 48 | ! 'outflow_uvw'). |
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| 49 | ! One additional bottom boundary condition is applied for the TKE (=(u*)**2) |
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| 50 | ! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly |
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| 51 | ! handled in routine exchange_horiz. Pressure boundary conditions are |
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| 52 | ! explicitly set in routines pres, poisfft, poismg and sor. |
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| 53 | !------------------------------------------------------------------------------! |
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| 54 | |
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| 55 | USE arrays_3d |
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| 56 | USE control_parameters |
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| 57 | USE grid_variables |
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| 58 | USE indices |
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| 59 | USE pegrid |
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| 60 | |
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| 61 | IMPLICIT NONE |
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| 62 | |
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| 63 | CHARACTER (LEN=*) :: range |
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| 64 | |
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| 65 | INTEGER :: i, j, k |
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| 66 | |
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| 67 | REAL :: c_max, denom |
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| 68 | |
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| 69 | |
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| 70 | IF ( range == 'main') THEN |
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| 71 | ! |
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| 72 | !-- Bottom boundary |
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| 73 | IF ( ibc_uv_b == 0 ) THEN |
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| 74 | ! |
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| 75 | !-- Satisfying the Dirichlet condition with an extra layer below the |
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| 76 | !-- surface where the u and v component change their sign |
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| 77 | u_p(nzb,:,:) = -u_p(nzb+1,:,:) |
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| 78 | v_p(nzb,:,:) = -v_p(nzb+1,:,:) |
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| 79 | ELSE |
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| 80 | u_p(nzb,:,:) = u_p(nzb+1,:,:) |
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| 81 | v_p(nzb,:,:) = v_p(nzb+1,:,:) |
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| 82 | ENDIF |
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| 83 | DO i = nxl-1, nxr+1 |
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| 84 | DO j = nys-1, nyn+1 |
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| 85 | w_p(nzb_w_inner(j,i),j,i) = 0.0 |
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| 86 | ENDDO |
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| 87 | ENDDO |
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| 88 | |
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| 89 | ! |
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| 90 | !-- Top boundary |
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| 91 | IF ( ibc_uv_t == 0 ) THEN |
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| 92 | u_p(nzt+1,:,:) = ug(nzt+1) |
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| 93 | v_p(nzt+1,:,:) = vg(nzt+1) |
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| 94 | ELSE |
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| 95 | u_p(nzt+1,:,:) = u_p(nzt,:,:) |
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| 96 | v_p(nzt+1,:,:) = v_p(nzt,:,:) |
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| 97 | ENDIF |
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| 98 | w_p(nzt:nzt+1,:,:) = 0.0 ! nzt is not a prognostic level (but cf. pres) |
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| 99 | |
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| 100 | ! |
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| 101 | !-- Temperature at bottom boundary. |
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| 102 | !-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by |
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| 103 | !-- the sea surface temperature of the coupled ocean model. |
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| 104 | IF ( ibc_pt_b == 0 ) THEN |
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| 105 | DO i = nxl-1, nxr+1 |
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| 106 | DO j = nys-1, nyn+1 |
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| 107 | pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i) |
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| 108 | ENDDO |
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| 109 | ENDDO |
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| 110 | ELSEIF ( ibc_pt_b == 1 ) THEN |
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| 111 | DO i = nxl-1, nxr+1 |
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| 112 | DO j = nys-1, nyn+1 |
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| 113 | pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i) |
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| 114 | ENDDO |
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| 115 | ENDDO |
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| 116 | ENDIF |
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| 117 | |
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| 118 | ! |
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| 119 | !-- Temperature at top boundary |
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| 120 | IF ( ibc_pt_t == 0 ) THEN |
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| 121 | pt_p(nzt+1,:,:) = pt(nzt+1,:,:) |
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| 122 | ELSEIF ( ibc_pt_t == 1 ) THEN |
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| 123 | pt_p(nzt+1,:,:) = pt_p(nzt,:,:) |
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| 124 | ELSEIF ( ibc_pt_t == 2 ) THEN |
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| 125 | pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1) |
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| 126 | ENDIF |
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| 127 | |
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| 128 | ! |
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| 129 | !-- Boundary conditions for TKE |
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| 130 | !-- Generally Neumann conditions with de/dz=0 are assumed |
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| 131 | IF ( .NOT. constant_diffusion ) THEN |
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| 132 | DO i = nxl-1, nxr+1 |
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| 133 | DO j = nys-1, nyn+1 |
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| 134 | e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i) |
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| 135 | ENDDO |
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| 136 | ENDDO |
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| 137 | e_p(nzt+1,:,:) = e_p(nzt,:,:) |
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| 138 | ENDIF |
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| 139 | |
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| 140 | ! |
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| 141 | !-- Boundary conditions for salinity |
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| 142 | IF ( ocean ) THEN |
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| 143 | ! |
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| 144 | !-- Bottom boundary: Neumann condition because salinity flux is always |
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| 145 | !-- given |
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| 146 | DO i = nxl-1, nxr+1 |
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| 147 | DO j = nys-1, nyn+1 |
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| 148 | sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i) |
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| 149 | ENDDO |
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| 150 | ENDDO |
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| 151 | |
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| 152 | ! |
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| 153 | !-- Top boundary: Dirichlet or Neumann |
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| 154 | IF ( ibc_sa_t == 0 ) THEN |
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| 155 | sa_p(nzt+1,:,:) = sa(nzt+1,:,:) |
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| 156 | ELSEIF ( ibc_sa_t == 1 ) THEN |
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| 157 | sa_p(nzt+1,:,:) = sa_p(nzt,:,:) |
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| 158 | ENDIF |
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| 159 | |
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| 160 | ENDIF |
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| 161 | |
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| 162 | ! |
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| 163 | !-- Boundary conditions for total water content or scalar, |
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| 164 | !-- bottom and top boundary (see also temperature) |
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| 165 | IF ( humidity .OR. passive_scalar ) THEN |
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| 166 | ! |
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| 167 | !-- Surface conditions for constant_humidity_flux |
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| 168 | IF ( ibc_q_b == 0 ) THEN |
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| 169 | DO i = nxl-1, nxr+1 |
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| 170 | DO j = nys-1, nyn+1 |
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| 171 | q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i) |
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| 172 | ENDDO |
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| 173 | ENDDO |
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| 174 | ELSE |
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| 175 | DO i = nxl-1, nxr+1 |
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| 176 | DO j = nys-1, nyn+1 |
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| 177 | q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i) |
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| 178 | ENDDO |
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| 179 | ENDDO |
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| 180 | ENDIF |
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| 181 | ! |
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| 182 | !-- Top boundary |
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| 183 | q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1) |
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| 184 | ENDIF |
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| 185 | |
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| 186 | ! |
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| 187 | !-- Lateral boundary conditions at the inflow. Quasi Neumann conditions |
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| 188 | !-- are needed for the wall normal velocity in order to ensure zero |
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| 189 | !-- divergence. Dirichlet conditions are used for all other quantities. |
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| 190 | IF ( inflow_s ) THEN |
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| 191 | v_p(:,nys,:) = v_p(:,nys-1,:) |
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| 192 | ELSEIF ( inflow_n ) THEN |
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| 193 | v_p(:,nyn,:) = v_p(:,nyn+1,:) |
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| 194 | ELSEIF ( inflow_l ) THEN |
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| 195 | u_p(:,:,nxl) = u_p(:,:,nxl-1) |
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| 196 | ELSEIF ( inflow_r ) THEN |
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| 197 | u_p(:,:,nxr) = u_p(:,:,nxr+1) |
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| 198 | ENDIF |
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| 199 | |
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| 200 | ! |
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| 201 | !-- Lateral boundary conditions for scalar quantities at the outflow |
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| 202 | IF ( outflow_s ) THEN |
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| 203 | pt_p(:,nys-1,:) = pt_p(:,nys,:) |
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| 204 | IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:) |
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| 205 | IF ( humidity .OR. passive_scalar ) q_p(:,nys-1,:) = q_p(:,nys,:) |
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| 206 | ELSEIF ( outflow_n ) THEN |
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| 207 | pt_p(:,nyn+1,:) = pt_p(:,nyn,:) |
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| 208 | IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:) |
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| 209 | IF ( humidity .OR. passive_scalar ) q_p(:,nyn+1,:) = q_p(:,nyn,:) |
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| 210 | ELSEIF ( outflow_l ) THEN |
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| 211 | pt_p(:,:,nxl-1) = pt_p(:,:,nxl) |
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| 212 | IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl) |
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| 213 | IF ( humidity .OR. passive_scalar ) q_p(:,:,nxl-1) = q_p(:,:,nxl) |
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| 214 | ELSEIF ( outflow_r ) THEN |
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| 215 | pt_p(:,:,nxr+1) = pt_p(:,:,nxr) |
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| 216 | IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr) |
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| 217 | IF ( humidity .OR. passive_scalar ) q_p(:,:,nxr+1) = q_p(:,:,nxr) |
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| 218 | ENDIF |
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| 219 | |
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| 220 | ENDIF |
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| 221 | |
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| 222 | ! |
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| 223 | !-- Radiation boundary condition for the velocities at the respective outflow |
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| 224 | IF ( outflow_s ) THEN |
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| 225 | |
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| 226 | c_max = dy / dt_3d |
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| 227 | |
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| 228 | DO i = nxl-1, nxr+1 |
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| 229 | DO k = nzb+1, nzt+1 |
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| 230 | |
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| 231 | ! |
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| 232 | !-- Calculate the phase speeds for u,v, and w. In case of using a |
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| 233 | !-- Runge-Kutta scheme, do this for the first substep only and then |
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| 234 | !-- reuse this values for the further substeps. |
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| 235 | IF ( intermediate_timestep_count == 1 ) THEN |
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| 236 | |
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| 237 | denom = u_m_s(k,0,i) - u_m_s(k,1,i) |
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| 238 | |
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| 239 | IF ( denom /= 0.0 ) THEN |
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| 240 | c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / denom |
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| 241 | IF ( c_u(k,i) < 0.0 ) THEN |
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| 242 | c_u(k,i) = 0.0 |
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| 243 | ELSEIF ( c_u(k,i) > c_max ) THEN |
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| 244 | c_u(k,i) = c_max |
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| 245 | ENDIF |
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| 246 | ELSE |
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| 247 | c_u(k,i) = c_max |
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| 248 | ENDIF |
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| 249 | |
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| 250 | denom = v_m_s(k,1,i) - v_m_s(k,2,i) |
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| 251 | |
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| 252 | IF ( denom /= 0.0 ) THEN |
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| 253 | c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / denom |
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| 254 | IF ( c_v(k,i) < 0.0 ) THEN |
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| 255 | c_v(k,i) = 0.0 |
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| 256 | ELSEIF ( c_v(k,i) > c_max ) THEN |
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| 257 | c_v(k,i) = c_max |
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| 258 | ENDIF |
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| 259 | ELSE |
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| 260 | c_v(k,i) = c_max |
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| 261 | ENDIF |
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| 262 | |
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| 263 | denom = w_m_s(k,0,i) - w_m_s(k,1,i) |
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| 264 | |
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| 265 | IF ( denom /= 0.0 ) THEN |
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| 266 | c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / denom |
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| 267 | IF ( c_w(k,i) < 0.0 ) THEN |
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| 268 | c_w(k,i) = 0.0 |
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| 269 | ELSEIF ( c_w(k,i) > c_max ) THEN |
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| 270 | c_w(k,i) = c_max |
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| 271 | ENDIF |
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| 272 | ELSE |
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| 273 | c_w(k,i) = c_max |
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| 274 | ENDIF |
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| 275 | |
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| 276 | ! |
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| 277 | !-- Save old timelevels for the next timestep |
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| 278 | u_m_s(k,:,i) = u(k,0:1,i) |
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| 279 | v_m_s(k,:,i) = v(k,1:2,i) |
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| 280 | w_m_s(k,:,i) = w(k,0:1,i) |
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| 281 | |
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| 282 | ENDIF |
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| 283 | |
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| 284 | ! |
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| 285 | !-- Calculate the new velocities |
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| 286 | u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u(k,i) * & |
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| 287 | ( u(k,-1,i) - u(k,0,i) ) * ddy |
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| 288 | |
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| 289 | v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v(k,i) * & |
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| 290 | ( v(k,0,i) - v(k,1,i) ) * ddy |
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| 291 | |
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| 292 | w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w(k,i) * & |
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| 293 | ( w(k,-1,i) - w(k,0,i) ) * ddy |
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| 294 | |
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| 295 | ENDDO |
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| 296 | ENDDO |
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| 297 | |
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| 298 | ! |
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| 299 | !-- Bottom boundary at the outflow |
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| 300 | IF ( ibc_uv_b == 0 ) THEN |
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| 301 | u_p(nzb,-1,:) = -u_p(nzb+1,-1,:) |
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| 302 | v_p(nzb,0,:) = -v_p(nzb+1,0,:) |
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| 303 | ELSE |
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| 304 | u_p(nzb,-1,:) = u_p(nzb+1,-1,:) |
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| 305 | v_p(nzb,0,:) = v_p(nzb+1,0,:) |
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| 306 | ENDIF |
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| 307 | w_p(nzb,-1,:) = 0.0 |
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| 308 | |
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| 309 | ! |
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| 310 | !-- Top boundary at the outflow |
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| 311 | IF ( ibc_uv_t == 0 ) THEN |
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| 312 | u_p(nzt+1,-1,:) = ug(nzt+1) |
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| 313 | v_p(nzt+1,0,:) = vg(nzt+1) |
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| 314 | ELSE |
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| 315 | u_p(nzt+1,-1,:) = u(nzt,-1,:) |
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| 316 | v_p(nzt+1,0,:) = v(nzt,0,:) |
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| 317 | ENDIF |
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| 318 | w_p(nzt:nzt+1,-1,:) = 0.0 |
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| 319 | |
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| 320 | ENDIF |
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| 321 | |
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| 322 | IF ( outflow_n ) THEN |
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| 323 | |
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| 324 | c_max = dy / dt_3d |
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| 325 | |
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| 326 | DO i = nxl-1, nxr+1 |
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| 327 | DO k = nzb+1, nzt+1 |
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| 328 | |
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| 329 | ! |
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| 330 | !-- Calculate the phase speeds for u,v, and w. In case of using a |
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| 331 | !-- Runge-Kutta scheme, do this for the first substep only and then |
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| 332 | !-- reuse this values for the further substeps. |
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| 333 | IF ( intermediate_timestep_count == 1 ) THEN |
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| 334 | |
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| 335 | denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i) |
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| 336 | |
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| 337 | IF ( denom /= 0.0 ) THEN |
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| 338 | c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / denom |
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| 339 | IF ( c_u(k,i) < 0.0 ) THEN |
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| 340 | c_u(k,i) = 0.0 |
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| 341 | ELSEIF ( c_u(k,i) > c_max ) THEN |
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| 342 | c_u(k,i) = c_max |
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| 343 | ENDIF |
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| 344 | ELSE |
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| 345 | c_u(k,i) = c_max |
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| 346 | ENDIF |
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| 347 | |
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| 348 | denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i) |
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| 349 | |
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| 350 | IF ( denom /= 0.0 ) THEN |
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| 351 | c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / denom |
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| 352 | IF ( c_v(k,i) < 0.0 ) THEN |
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| 353 | c_v(k,i) = 0.0 |
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| 354 | ELSEIF ( c_v(k,i) > c_max ) THEN |
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| 355 | c_v(k,i) = c_max |
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| 356 | ENDIF |
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| 357 | ELSE |
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| 358 | c_v(k,i) = c_max |
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| 359 | ENDIF |
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| 360 | |
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| 361 | denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i) |
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| 362 | |
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| 363 | IF ( denom /= 0.0 ) THEN |
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| 364 | c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / denom |
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| 365 | IF ( c_w(k,i) < 0.0 ) THEN |
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| 366 | c_w(k,i) = 0.0 |
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| 367 | ELSEIF ( c_w(k,i) > c_max ) THEN |
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| 368 | c_w(k,i) = c_max |
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| 369 | ENDIF |
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| 370 | ELSE |
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| 371 | c_w(k,i) = c_max |
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| 372 | ENDIF |
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| 373 | |
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| 374 | ! |
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| 375 | !-- Swap timelevels for the next timestep |
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| 376 | u_m_n(k,:,i) = u(k,ny-1:ny,i) |
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| 377 | v_m_n(k,:,i) = v(k,ny-1:ny,i) |
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| 378 | w_m_n(k,:,i) = w(k,ny-1:ny,i) |
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| 379 | |
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| 380 | ENDIF |
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| 381 | |
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| 382 | ! |
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| 383 | !-- Calculate the new velocities |
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| 384 | u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u(k,i) * & |
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| 385 | ( u(k,ny+1,i) - u(k,ny,i) ) * ddy |
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| 386 | |
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| 387 | v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v(k,i) * & |
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| 388 | ( v(k,ny+1,i) - v(k,ny,i) ) * ddy |
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| 389 | |
|---|
| 390 | w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w(k,i) * & |
|---|
| 391 | ( w(k,ny+1,i) - w(k,ny,i) ) * ddy |
|---|
| 392 | |
|---|
| 393 | ENDDO |
|---|
| 394 | ENDDO |
|---|
| 395 | |
|---|
| 396 | ! |
|---|
| 397 | !-- Bottom boundary at the outflow |
|---|
| 398 | IF ( ibc_uv_b == 0 ) THEN |
|---|
| 399 | u_p(nzb,ny+1,:) = -u_p(nzb+1,ny+1,:) |
|---|
| 400 | v_p(nzb,ny+1,:) = -v_p(nzb+1,ny+1,:) |
|---|
| 401 | ELSE |
|---|
| 402 | u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:) |
|---|
| 403 | v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:) |
|---|
| 404 | ENDIF |
|---|
| 405 | w_p(nzb,ny+1,:) = 0.0 |
|---|
| 406 | |
|---|
| 407 | ! |
|---|
| 408 | !-- Top boundary at the outflow |
|---|
| 409 | IF ( ibc_uv_t == 0 ) THEN |
|---|
| 410 | u_p(nzt+1,ny+1,:) = ug(nzt+1) |
|---|
| 411 | v_p(nzt+1,ny+1,:) = vg(nzt+1) |
|---|
| 412 | ELSE |
|---|
| 413 | u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:) |
|---|
| 414 | v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:) |
|---|
| 415 | ENDIF |
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| 416 | w_p(nzt:nzt+1,ny+1,:) = 0.0 |
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| 417 | |
|---|
| 418 | ENDIF |
|---|
| 419 | |
|---|
| 420 | IF ( outflow_l ) THEN |
|---|
| 421 | |
|---|
| 422 | c_max = dx / dt_3d |
|---|
| 423 | |
|---|
| 424 | DO j = nys-1, nyn+1 |
|---|
| 425 | DO k = nzb+1, nzt+1 |
|---|
| 426 | |
|---|
| 427 | ! |
|---|
| 428 | !-- Calculate the phase speeds for u,v, and w. In case of using a |
|---|
| 429 | !-- Runge-Kutta scheme, do this for the first substep only and then |
|---|
| 430 | !-- reuse this values for the further substeps. |
|---|
| 431 | IF ( intermediate_timestep_count == 1 ) THEN |
|---|
| 432 | |
|---|
| 433 | denom = u_m_l(k,j,1) - u_m_l(k,j,2) |
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| 434 | |
|---|
| 435 | IF ( denom /= 0.0 ) THEN |
|---|
| 436 | c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / denom |
|---|
| 437 | IF ( c_u(k,j) < 0.0 ) THEN |
|---|
| 438 | c_u(k,j) = 0.0 |
|---|
| 439 | ELSEIF ( c_u(k,j) > c_max ) THEN |
|---|
| 440 | c_u(k,j) = c_max |
|---|
| 441 | ENDIF |
|---|
| 442 | ELSE |
|---|
| 443 | c_u(k,j) = c_max |
|---|
| 444 | ENDIF |
|---|
| 445 | |
|---|
| 446 | denom = v_m_l(k,j,0) - v_m_l(k,j,1) |
|---|
| 447 | |
|---|
| 448 | IF ( denom /= 0.0 ) THEN |
|---|
| 449 | c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / denom |
|---|
| 450 | IF ( c_v(k,j) < 0.0 ) THEN |
|---|
| 451 | c_v(k,j) = 0.0 |
|---|
| 452 | ELSEIF ( c_v(k,j) > c_max ) THEN |
|---|
| 453 | c_v(k,j) = c_max |
|---|
| 454 | ENDIF |
|---|
| 455 | ELSE |
|---|
| 456 | c_v(k,j) = c_max |
|---|
| 457 | ENDIF |
|---|
| 458 | |
|---|
| 459 | denom = w_m_l(k,j,0) - w_m_l(k,j,1) |
|---|
| 460 | |
|---|
| 461 | IF ( denom /= 0.0 ) THEN |
|---|
| 462 | c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / denom |
|---|
| 463 | IF ( c_w(k,j) < 0.0 ) THEN |
|---|
| 464 | c_w(k,j) = 0.0 |
|---|
| 465 | ELSEIF ( c_w(k,j) > c_max ) THEN |
|---|
| 466 | c_w(k,j) = c_max |
|---|
| 467 | ENDIF |
|---|
| 468 | ELSE |
|---|
| 469 | c_w(k,j) = c_max |
|---|
| 470 | ENDIF |
|---|
| 471 | |
|---|
| 472 | ! |
|---|
| 473 | !-- Swap timelevels for the next timestep |
|---|
| 474 | u_m_l(k,j,:) = u(k,j,1:2) |
|---|
| 475 | v_m_l(k,j,:) = v(k,j,0:1) |
|---|
| 476 | w_m_l(k,j,:) = w(k,j,0:1) |
|---|
| 477 | |
|---|
| 478 | ENDIF |
|---|
| 479 | |
|---|
| 480 | ! |
|---|
| 481 | !-- Calculate the new velocities |
|---|
| 482 | u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u(k,j) * & |
|---|
| 483 | ( u(k,j,0) - u(k,j,1) ) * ddx |
|---|
| 484 | |
|---|
| 485 | v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v(k,j) * & |
|---|
| 486 | ( v(k,j,-1) - v(k,j,0) ) * ddx |
|---|
| 487 | |
|---|
| 488 | w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w(k,j) * & |
|---|
| 489 | ( w(k,j,-1) - w(k,j,0) ) * ddx |
|---|
| 490 | |
|---|
| 491 | ENDDO |
|---|
| 492 | ENDDO |
|---|
| 493 | |
|---|
| 494 | ! |
|---|
| 495 | !-- Bottom boundary at the outflow |
|---|
| 496 | IF ( ibc_uv_b == 0 ) THEN |
|---|
| 497 | u_p(nzb,:,-1) = -u_p(nzb+1,:,-1) |
|---|
| 498 | v_p(nzb,:,-1) = -v_p(nzb+1,:,-1) |
|---|
| 499 | ELSE |
|---|
| 500 | u_p(nzb,:,-1) = u_p(nzb+1,:,-1) |
|---|
| 501 | v_p(nzb,:,-1) = v_p(nzb+1,:,-1) |
|---|
| 502 | ENDIF |
|---|
| 503 | w_p(nzb,:,-1) = 0.0 |
|---|
| 504 | |
|---|
| 505 | ! |
|---|
| 506 | !-- Top boundary at the outflow |
|---|
| 507 | IF ( ibc_uv_t == 0 ) THEN |
|---|
| 508 | u_p(nzt+1,:,-1) = ug(nzt+1) |
|---|
| 509 | v_p(nzt+1,:,-1) = vg(nzt+1) |
|---|
| 510 | ELSE |
|---|
| 511 | u_p(nzt+1,:,-1) = u_p(nzt,:,-1) |
|---|
| 512 | v_p(nzt+1,:,-1) = v_p(nzt,:,-1) |
|---|
| 513 | ENDIF |
|---|
| 514 | w_p(nzt:nzt+1,:,-1) = 0.0 |
|---|
| 515 | |
|---|
| 516 | ENDIF |
|---|
| 517 | |
|---|
| 518 | IF ( outflow_r ) THEN |
|---|
| 519 | |
|---|
| 520 | c_max = dx / dt_3d |
|---|
| 521 | |
|---|
| 522 | DO j = nys-1, nyn+1 |
|---|
| 523 | DO k = nzb+1, nzt+1 |
|---|
| 524 | |
|---|
| 525 | ! |
|---|
| 526 | !-- Calculate the phase speeds for u,v, and w. In case of using a |
|---|
| 527 | !-- Runge-Kutta scheme, do this for the first substep only and then |
|---|
| 528 | !-- reuse this values for the further substeps. |
|---|
| 529 | IF ( intermediate_timestep_count == 1 ) THEN |
|---|
| 530 | |
|---|
| 531 | denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1) |
|---|
| 532 | |
|---|
| 533 | IF ( denom /= 0.0 ) THEN |
|---|
| 534 | c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / denom |
|---|
| 535 | IF ( c_u(k,j) < 0.0 ) THEN |
|---|
| 536 | c_u(k,j) = 0.0 |
|---|
| 537 | ELSEIF ( c_u(k,j) > c_max ) THEN |
|---|
| 538 | c_u(k,j) = c_max |
|---|
| 539 | ENDIF |
|---|
| 540 | ELSE |
|---|
| 541 | c_u(k,j) = c_max |
|---|
| 542 | ENDIF |
|---|
| 543 | |
|---|
| 544 | denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1) |
|---|
| 545 | |
|---|
| 546 | IF ( denom /= 0.0 ) THEN |
|---|
| 547 | c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / denom |
|---|
| 548 | IF ( c_v(k,j) < 0.0 ) THEN |
|---|
| 549 | c_v(k,j) = 0.0 |
|---|
| 550 | ELSEIF ( c_v(k,j) > c_max ) THEN |
|---|
| 551 | c_v(k,j) = c_max |
|---|
| 552 | ENDIF |
|---|
| 553 | ELSE |
|---|
| 554 | c_v(k,j) = c_max |
|---|
| 555 | ENDIF |
|---|
| 556 | |
|---|
| 557 | denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1) |
|---|
| 558 | |
|---|
| 559 | IF ( denom /= 0.0 ) THEN |
|---|
| 560 | c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / denom |
|---|
| 561 | IF ( c_w(k,j) < 0.0 ) THEN |
|---|
| 562 | c_w(k,j) = 0.0 |
|---|
| 563 | ELSEIF ( c_w(k,j) > c_max ) THEN |
|---|
| 564 | c_w(k,j) = c_max |
|---|
| 565 | ENDIF |
|---|
| 566 | ELSE |
|---|
| 567 | c_w(k,j) = c_max |
|---|
| 568 | ENDIF |
|---|
| 569 | |
|---|
| 570 | ! |
|---|
| 571 | !-- Swap timelevels for the next timestep |
|---|
| 572 | u_m_r(k,j,:) = u(k,j,nx-1:nx) |
|---|
| 573 | v_m_r(k,j,:) = v(k,j,nx-1:nx) |
|---|
| 574 | w_m_r(k,j,:) = w(k,j,nx-1:nx) |
|---|
| 575 | |
|---|
| 576 | ENDIF |
|---|
| 577 | |
|---|
| 578 | ! |
|---|
| 579 | !-- Calculate the new velocities |
|---|
| 580 | u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u(k,j) * & |
|---|
| 581 | ( u(k,j,nx+1) - u(k,j,nx) ) * ddx |
|---|
| 582 | |
|---|
| 583 | v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v(k,j) * & |
|---|
| 584 | ( v(k,j,nx+1) - v(k,j,nx) ) * ddx |
|---|
| 585 | |
|---|
| 586 | w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w(k,j) * & |
|---|
| 587 | ( w(k,j,nx+1) - w(k,j,nx) ) * ddx |
|---|
| 588 | |
|---|
| 589 | ENDDO |
|---|
| 590 | ENDDO |
|---|
| 591 | |
|---|
| 592 | ! |
|---|
| 593 | !-- Bottom boundary at the outflow |
|---|
| 594 | IF ( ibc_uv_b == 0 ) THEN |
|---|
| 595 | u_p(nzb,:,nx+1) = -u_p(nzb+1,:,nx+1) |
|---|
| 596 | v_p(nzb,:,nx+1) = -v_p(nzb+1,:,nx+1) |
|---|
| 597 | ELSE |
|---|
| 598 | u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1) |
|---|
| 599 | v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1) |
|---|
| 600 | ENDIF |
|---|
| 601 | w_p(nzb,:,nx+1) = 0.0 |
|---|
| 602 | |
|---|
| 603 | ! |
|---|
| 604 | !-- Top boundary at the outflow |
|---|
| 605 | IF ( ibc_uv_t == 0 ) THEN |
|---|
| 606 | u_p(nzt+1,:,nx+1) = ug(nzt+1) |
|---|
| 607 | v_p(nzt+1,:,nx+1) = vg(nzt+1) |
|---|
| 608 | ELSE |
|---|
| 609 | u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1) |
|---|
| 610 | v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1) |
|---|
| 611 | ENDIF |
|---|
| 612 | w(nzt:nzt+1,:,nx+1) = 0.0 |
|---|
| 613 | |
|---|
| 614 | ENDIF |
|---|
| 615 | |
|---|
| 616 | |
|---|
| 617 | END SUBROUTINE boundary_conds |
|---|
