[1682] | 1 | !> @file sor.f90 |
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[2000] | 2 | !------------------------------------------------------------------------------! |
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[2696] | 3 | ! This file is part of the PALM model system. |
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[1036] | 4 | ! |
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[2000] | 5 | ! PALM is free software: you can redistribute it and/or modify it under the |
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| 6 | ! terms of the GNU General Public License as published by the Free Software |
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| 7 | ! Foundation, either version 3 of the License, or (at your option) any later |
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| 8 | ! version. |
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[1036] | 9 | ! |
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| 10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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| 13 | ! |
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| 14 | ! You should have received a copy of the GNU General Public License along with |
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| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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| 16 | ! |
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[3655] | 17 | ! Copyright 1997-2019 Leibniz Universitaet Hannover |
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[2000] | 18 | !------------------------------------------------------------------------------! |
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[1036] | 19 | ! |
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[484] | 20 | ! Current revisions: |
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[1] | 21 | ! ----------------- |
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[1354] | 22 | ! |
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[3183] | 23 | ! |
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[1321] | 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: sor.f90 4180 2019-08-21 14:37:54Z scharf $ |
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[3183] | 27 | ! Rename variables in mesoscale-offline nesting mode |
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| 28 | ! |
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[1321] | 29 | ! |
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[1] | 30 | ! Description: |
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| 31 | ! ------------ |
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[1682] | 32 | !> Solve the Poisson-equation with the SOR-Red/Black-scheme. |
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[3] | 33 | !------------------------------------------------------------------------------! |
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[1682] | 34 | SUBROUTINE sor( d, ddzu, ddzw, p ) |
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[1] | 35 | |
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[2037] | 36 | USE arrays_3d, & |
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| 37 | ONLY: rho_air, rho_air_zw |
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| 38 | |
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[1320] | 39 | USE grid_variables, & |
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| 40 | ONLY: ddx2, ddy2 |
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[1] | 41 | |
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[1320] | 42 | USE indices, & |
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| 43 | ONLY: nbgp, nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nz, nzb, nzt |
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| 44 | |
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| 45 | USE kinds |
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| 46 | |
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| 47 | USE control_parameters, & |
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[3182] | 48 | ONLY: bc_dirichlet_l, bc_dirichlet_n, bc_dirichlet_r, & |
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| 49 | bc_dirichlet_s, bc_lr_cyc, bc_ns_cyc, bc_radiation_l, & |
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| 50 | bc_radiation_n, bc_radiation_r, bc_radiation_s, ibc_p_b, & |
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| 51 | ibc_p_t, n_sor, omega_sor |
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[1320] | 52 | |
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[1] | 53 | IMPLICIT NONE |
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| 54 | |
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[1682] | 55 | INTEGER(iwp) :: i !< |
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| 56 | INTEGER(iwp) :: j !< |
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| 57 | INTEGER(iwp) :: k !< |
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| 58 | INTEGER(iwp) :: n !< |
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| 59 | INTEGER(iwp) :: nxl1 !< |
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| 60 | INTEGER(iwp) :: nxl2 !< |
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| 61 | INTEGER(iwp) :: nys1 !< |
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| 62 | INTEGER(iwp) :: nys2 !< |
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[1] | 63 | |
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[1682] | 64 | REAL(wp) :: ddzu(1:nz+1) !< |
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| 65 | REAL(wp) :: ddzw(1:nzt+1) !< |
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[1320] | 66 | |
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[1682] | 67 | REAL(wp) :: d(nzb+1:nzt,nys:nyn,nxl:nxr) !< |
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| 68 | REAL(wp) :: p(nzb:nzt+1,nysg:nyng,nxlg:nxrg) !< |
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[1320] | 69 | |
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[1682] | 70 | REAL(wp), DIMENSION(:), ALLOCATABLE :: f1 !< |
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| 71 | REAL(wp), DIMENSION(:), ALLOCATABLE :: f2 !< |
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| 72 | REAL(wp), DIMENSION(:), ALLOCATABLE :: f3 !< |
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[1320] | 73 | |
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[1] | 74 | ALLOCATE( f1(1:nz), f2(1:nz), f3(1:nz) ) |
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| 75 | |
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| 76 | ! |
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| 77 | !-- Compute pre-factors. |
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| 78 | DO k = 1, nz |
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[2037] | 79 | f2(k) = ddzu(k+1) * ddzw(k) * rho_air_zw(k) |
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| 80 | f3(k) = ddzu(k) * ddzw(k) * rho_air_zw(k-1) |
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| 81 | f1(k) = 2.0_wp * ( ddx2 + ddy2 ) * rho_air(k) + f2(k) + f3(k) |
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[1] | 82 | ENDDO |
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| 83 | |
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| 84 | ! |
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| 85 | !-- Limits for RED- and BLACK-part. |
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| 86 | IF ( MOD( nxl , 2 ) == 0 ) THEN |
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| 87 | nxl1 = nxl |
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| 88 | nxl2 = nxl + 1 |
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| 89 | ELSE |
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| 90 | nxl1 = nxl + 1 |
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| 91 | nxl2 = nxl |
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| 92 | ENDIF |
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| 93 | IF ( MOD( nys , 2 ) == 0 ) THEN |
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| 94 | nys1 = nys |
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| 95 | nys2 = nys + 1 |
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| 96 | ELSE |
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| 97 | nys1 = nys + 1 |
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| 98 | nys2 = nys |
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| 99 | ENDIF |
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| 100 | |
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| 101 | DO n = 1, n_sor |
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| 102 | |
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| 103 | ! |
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| 104 | !-- RED-part |
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| 105 | DO i = nxl1, nxr, 2 |
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| 106 | DO j = nys2, nyn, 2 |
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| 107 | DO k = nzb+1, nzt |
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| 108 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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[2037] | 109 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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| 110 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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| 111 | f2(k) * p(k+1,j,i) + & |
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| 112 | f3(k) * p(k-1,j,i) - & |
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| 113 | d(k,j,i) - & |
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| 114 | f1(k) * p(k,j,i) ) |
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[1] | 115 | ENDDO |
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| 116 | ENDDO |
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| 117 | ENDDO |
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| 118 | |
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| 119 | DO i = nxl2, nxr, 2 |
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| 120 | DO j = nys1, nyn, 2 |
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| 121 | DO k = nzb+1, nzt |
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[2037] | 122 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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| 123 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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| 124 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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| 125 | f2(k) * p(k+1,j,i) + & |
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| 126 | f3(k) * p(k-1,j,i) - & |
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| 127 | d(k,j,i) - & |
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| 128 | f1(k) * p(k,j,i) ) |
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[1] | 129 | ENDDO |
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| 130 | ENDDO |
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| 131 | ENDDO |
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| 132 | |
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| 133 | ! |
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| 134 | !-- Exchange of boundary values for p. |
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[667] | 135 | CALL exchange_horiz( p, nbgp ) |
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[1] | 136 | |
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| 137 | ! |
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| 138 | !-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries |
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[707] | 139 | IF ( .NOT. bc_lr_cyc ) THEN |
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[3182] | 140 | IF ( bc_dirichlet_l .OR. bc_radiation_l ) p(:,:,nxl-1) = p(:,:,nxl) |
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| 141 | IF ( bc_dirichlet_r .OR. bc_radiation_r ) p(:,:,nxr+1) = p(:,:,nxr) |
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[1] | 142 | ENDIF |
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[707] | 143 | IF ( .NOT. bc_ns_cyc ) THEN |
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[3182] | 144 | IF ( bc_dirichlet_n .OR. bc_radiation_n ) p(:,nyn+1,:) = p(:,nyn,:) |
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| 145 | IF ( bc_dirichlet_s .OR. bc_radiation_s ) p(:,nys-1,:) = p(:,nys,:) |
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[1] | 146 | ENDIF |
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| 147 | |
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| 148 | ! |
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| 149 | !-- BLACK-part |
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| 150 | DO i = nxl1, nxr, 2 |
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| 151 | DO j = nys1, nyn, 2 |
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| 152 | DO k = nzb+1, nzt |
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| 153 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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[2037] | 154 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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| 155 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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| 156 | f2(k) * p(k+1,j,i) + & |
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| 157 | f3(k) * p(k-1,j,i) - & |
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| 158 | d(k,j,i) - & |
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| 159 | f1(k) * p(k,j,i) ) |
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[1] | 160 | ENDDO |
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| 161 | ENDDO |
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| 162 | ENDDO |
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| 163 | |
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| 164 | DO i = nxl2, nxr, 2 |
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| 165 | DO j = nys2, nyn, 2 |
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| 166 | DO k = nzb+1, nzt |
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| 167 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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[2037] | 168 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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| 169 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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| 170 | f2(k) * p(k+1,j,i) + & |
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| 171 | f3(k) * p(k-1,j,i) - & |
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| 172 | d(k,j,i) - & |
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| 173 | f1(k) * p(k,j,i) ) |
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[1] | 174 | ENDDO |
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| 175 | ENDDO |
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| 176 | ENDDO |
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| 177 | |
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| 178 | ! |
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| 179 | !-- Exchange of boundary values for p. |
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[667] | 180 | CALL exchange_horiz( p, nbgp ) |
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[1] | 181 | |
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| 182 | ! |
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| 183 | !-- Boundary conditions top/bottom. |
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| 184 | !-- Bottom boundary |
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[667] | 185 | IF ( ibc_p_b == 1 ) THEN ! Neumann |
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[1] | 186 | p(nzb,:,:) = p(nzb+1,:,:) |
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[667] | 187 | ELSE ! Dirichlet |
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[1353] | 188 | p(nzb,:,:) = 0.0_wp |
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[1] | 189 | ENDIF |
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| 190 | |
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| 191 | ! |
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| 192 | !-- Top boundary |
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[667] | 193 | IF ( ibc_p_t == 1 ) THEN ! Neumann |
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[1] | 194 | p(nzt+1,:,:) = p(nzt,:,:) |
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[667] | 195 | ELSE ! Dirichlet |
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[1353] | 196 | p(nzt+1,:,:) = 0.0_wp |
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[1] | 197 | ENDIF |
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| 198 | |
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| 199 | ! |
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| 200 | !-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries |
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[707] | 201 | IF ( .NOT. bc_lr_cyc ) THEN |
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[3182] | 202 | IF ( bc_dirichlet_l .OR. bc_radiation_l ) p(:,:,nxl-1) = p(:,:,nxl) |
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| 203 | IF ( bc_dirichlet_r .OR. bc_radiation_r ) p(:,:,nxr+1) = p(:,:,nxr) |
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[1] | 204 | ENDIF |
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[707] | 205 | IF ( .NOT. bc_ns_cyc ) THEN |
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[3182] | 206 | IF ( bc_dirichlet_n .OR. bc_radiation_n ) p(:,nyn+1,:) = p(:,nyn,:) |
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| 207 | IF ( bc_dirichlet_s .OR. bc_radiation_s ) p(:,nys-1,:) = p(:,nys,:) |
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[1] | 208 | ENDIF |
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| 209 | |
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[667] | 210 | |
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[1] | 211 | ENDDO |
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| 212 | |
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| 213 | DEALLOCATE( f1, f2, f3 ) |
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| 214 | |
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[3467] | 215 | END SUBROUTINE sor |
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