[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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[4360] | 17 | ! Copyright 1997-2020 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 4457 2020-03-11 14:20:43Z moh.hefny $ |
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[4457] | 27 | ! use statement for exchange horiz added |
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| 28 | ! |
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| 29 | ! 4360 2020-01-07 11:25:50Z suehring |
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[4182] | 30 | ! Corrected "Former revisions" section |
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| 31 | ! |
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| 32 | ! 3655 2019-01-07 16:51:22Z knoop |
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[3183] | 33 | ! Rename variables in mesoscale-offline nesting mode |
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[1321] | 34 | ! |
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[4182] | 35 | ! Revision 1.1 1997/08/11 06:25:56 raasch |
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| 36 | ! Initial revision |
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| 37 | ! |
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| 38 | ! |
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[1] | 39 | ! Description: |
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| 40 | ! ------------ |
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[1682] | 41 | !> Solve the Poisson-equation with the SOR-Red/Black-scheme. |
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[3] | 42 | !------------------------------------------------------------------------------! |
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[1682] | 43 | SUBROUTINE sor( d, ddzu, ddzw, p ) |
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[1] | 44 | |
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[2037] | 45 | USE arrays_3d, & |
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| 46 | ONLY: rho_air, rho_air_zw |
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| 47 | |
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[4457] | 48 | USE control_parameters, & |
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| 49 | ONLY: bc_dirichlet_l, bc_dirichlet_n, bc_dirichlet_r, & |
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| 50 | bc_dirichlet_s, bc_lr_cyc, bc_ns_cyc, bc_radiation_l, & |
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| 51 | bc_radiation_n, bc_radiation_r, bc_radiation_s, ibc_p_b, & |
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| 52 | ibc_p_t, n_sor, omega_sor |
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| 53 | |
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| 54 | USE exchange_horiz_mod, & |
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| 55 | ONLY: exchange_horiz |
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| 56 | |
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[1320] | 57 | USE grid_variables, & |
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| 58 | ONLY: ddx2, ddy2 |
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[1] | 59 | |
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[1320] | 60 | USE indices, & |
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| 61 | ONLY: nbgp, nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nz, nzb, nzt |
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| 62 | |
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| 63 | USE kinds |
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| 64 | |
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[1] | 65 | IMPLICIT NONE |
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| 66 | |
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[1682] | 67 | INTEGER(iwp) :: i !< |
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| 68 | INTEGER(iwp) :: j !< |
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| 69 | INTEGER(iwp) :: k !< |
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| 70 | INTEGER(iwp) :: n !< |
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| 71 | INTEGER(iwp) :: nxl1 !< |
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| 72 | INTEGER(iwp) :: nxl2 !< |
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| 73 | INTEGER(iwp) :: nys1 !< |
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| 74 | INTEGER(iwp) :: nys2 !< |
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[1] | 75 | |
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[1682] | 76 | REAL(wp) :: ddzu(1:nz+1) !< |
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| 77 | REAL(wp) :: ddzw(1:nzt+1) !< |
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[1320] | 78 | |
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[1682] | 79 | REAL(wp) :: d(nzb+1:nzt,nys:nyn,nxl:nxr) !< |
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| 80 | REAL(wp) :: p(nzb:nzt+1,nysg:nyng,nxlg:nxrg) !< |
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[1320] | 81 | |
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[1682] | 82 | REAL(wp), DIMENSION(:), ALLOCATABLE :: f1 !< |
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| 83 | REAL(wp), DIMENSION(:), ALLOCATABLE :: f2 !< |
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| 84 | REAL(wp), DIMENSION(:), ALLOCATABLE :: f3 !< |
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[1320] | 85 | |
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[1] | 86 | ALLOCATE( f1(1:nz), f2(1:nz), f3(1:nz) ) |
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| 87 | |
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| 88 | ! |
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| 89 | !-- Compute pre-factors. |
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| 90 | DO k = 1, nz |
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[2037] | 91 | f2(k) = ddzu(k+1) * ddzw(k) * rho_air_zw(k) |
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| 92 | f3(k) = ddzu(k) * ddzw(k) * rho_air_zw(k-1) |
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| 93 | f1(k) = 2.0_wp * ( ddx2 + ddy2 ) * rho_air(k) + f2(k) + f3(k) |
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[1] | 94 | ENDDO |
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| 95 | |
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| 96 | ! |
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| 97 | !-- Limits for RED- and BLACK-part. |
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| 98 | IF ( MOD( nxl , 2 ) == 0 ) THEN |
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| 99 | nxl1 = nxl |
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| 100 | nxl2 = nxl + 1 |
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| 101 | ELSE |
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| 102 | nxl1 = nxl + 1 |
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| 103 | nxl2 = nxl |
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| 104 | ENDIF |
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| 105 | IF ( MOD( nys , 2 ) == 0 ) THEN |
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| 106 | nys1 = nys |
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| 107 | nys2 = nys + 1 |
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| 108 | ELSE |
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| 109 | nys1 = nys + 1 |
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| 110 | nys2 = nys |
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| 111 | ENDIF |
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| 112 | |
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| 113 | DO n = 1, n_sor |
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| 114 | |
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| 115 | ! |
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| 116 | !-- RED-part |
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| 117 | DO i = nxl1, nxr, 2 |
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| 118 | DO j = nys2, nyn, 2 |
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| 119 | DO k = nzb+1, nzt |
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| 120 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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[2037] | 121 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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| 122 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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| 123 | f2(k) * p(k+1,j,i) + & |
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| 124 | f3(k) * p(k-1,j,i) - & |
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| 125 | d(k,j,i) - & |
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| 126 | f1(k) * p(k,j,i) ) |
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[1] | 127 | ENDDO |
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| 128 | ENDDO |
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| 129 | ENDDO |
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| 130 | |
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| 131 | DO i = nxl2, nxr, 2 |
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| 132 | DO j = nys1, nyn, 2 |
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| 133 | DO k = nzb+1, nzt |
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[2037] | 134 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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| 135 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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| 136 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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| 137 | f2(k) * p(k+1,j,i) + & |
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| 138 | f3(k) * p(k-1,j,i) - & |
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| 139 | d(k,j,i) - & |
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| 140 | f1(k) * p(k,j,i) ) |
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[1] | 141 | ENDDO |
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| 142 | ENDDO |
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| 143 | ENDDO |
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| 144 | |
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| 145 | ! |
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| 146 | !-- Exchange of boundary values for p. |
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[667] | 147 | CALL exchange_horiz( p, nbgp ) |
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[1] | 148 | |
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| 149 | ! |
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| 150 | !-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries |
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[707] | 151 | IF ( .NOT. bc_lr_cyc ) THEN |
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[3182] | 152 | IF ( bc_dirichlet_l .OR. bc_radiation_l ) p(:,:,nxl-1) = p(:,:,nxl) |
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| 153 | IF ( bc_dirichlet_r .OR. bc_radiation_r ) p(:,:,nxr+1) = p(:,:,nxr) |
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[1] | 154 | ENDIF |
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[707] | 155 | IF ( .NOT. bc_ns_cyc ) THEN |
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[3182] | 156 | IF ( bc_dirichlet_n .OR. bc_radiation_n ) p(:,nyn+1,:) = p(:,nyn,:) |
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| 157 | IF ( bc_dirichlet_s .OR. bc_radiation_s ) p(:,nys-1,:) = p(:,nys,:) |
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[1] | 158 | ENDIF |
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| 159 | |
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| 160 | ! |
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| 161 | !-- BLACK-part |
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| 162 | DO i = nxl1, nxr, 2 |
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| 163 | DO j = nys1, nyn, 2 |
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| 164 | DO k = nzb+1, nzt |
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| 165 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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[2037] | 166 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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| 167 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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| 168 | f2(k) * p(k+1,j,i) + & |
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| 169 | f3(k) * p(k-1,j,i) - & |
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| 170 | d(k,j,i) - & |
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| 171 | f1(k) * p(k,j,i) ) |
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[1] | 172 | ENDDO |
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| 173 | ENDDO |
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| 174 | ENDDO |
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| 175 | |
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| 176 | DO i = nxl2, nxr, 2 |
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| 177 | DO j = nys2, nyn, 2 |
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| 178 | DO k = nzb+1, nzt |
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| 179 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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[2037] | 180 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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| 181 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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| 182 | f2(k) * p(k+1,j,i) + & |
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| 183 | f3(k) * p(k-1,j,i) - & |
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| 184 | d(k,j,i) - & |
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| 185 | f1(k) * p(k,j,i) ) |
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[1] | 186 | ENDDO |
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| 187 | ENDDO |
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| 188 | ENDDO |
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| 189 | |
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| 190 | ! |
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| 191 | !-- Exchange of boundary values for p. |
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[667] | 192 | CALL exchange_horiz( p, nbgp ) |
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[1] | 193 | |
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| 194 | ! |
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| 195 | !-- Boundary conditions top/bottom. |
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| 196 | !-- Bottom boundary |
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[667] | 197 | IF ( ibc_p_b == 1 ) THEN ! Neumann |
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[1] | 198 | p(nzb,:,:) = p(nzb+1,:,:) |
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[667] | 199 | ELSE ! Dirichlet |
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[1353] | 200 | p(nzb,:,:) = 0.0_wp |
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[1] | 201 | ENDIF |
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| 202 | |
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| 203 | ! |
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| 204 | !-- Top boundary |
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[667] | 205 | IF ( ibc_p_t == 1 ) THEN ! Neumann |
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[1] | 206 | p(nzt+1,:,:) = p(nzt,:,:) |
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[667] | 207 | ELSE ! Dirichlet |
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[1353] | 208 | p(nzt+1,:,:) = 0.0_wp |
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[1] | 209 | ENDIF |
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| 210 | |
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| 211 | ! |
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| 212 | !-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries |
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[707] | 213 | IF ( .NOT. bc_lr_cyc ) THEN |
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[3182] | 214 | IF ( bc_dirichlet_l .OR. bc_radiation_l ) p(:,:,nxl-1) = p(:,:,nxl) |
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| 215 | IF ( bc_dirichlet_r .OR. bc_radiation_r ) p(:,:,nxr+1) = p(:,:,nxr) |
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[1] | 216 | ENDIF |
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[707] | 217 | IF ( .NOT. bc_ns_cyc ) THEN |
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[3182] | 218 | IF ( bc_dirichlet_n .OR. bc_radiation_n ) p(:,nyn+1,:) = p(:,nyn,:) |
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| 219 | IF ( bc_dirichlet_s .OR. bc_radiation_s ) p(:,nys-1,:) = p(:,nys,:) |
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[1] | 220 | ENDIF |
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| 221 | |
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[667] | 222 | |
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[1] | 223 | ENDDO |
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| 224 | |
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| 225 | DEALLOCATE( f1, f2, f3 ) |
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| 226 | |
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[4457] | 227 | END SUBROUTINE sor |
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