| 1 | !> @file sor.f90 |
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| 2 | !--------------------------------------------------------------------------------------------------! |
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| 3 | ! This file is part of the PALM model system. |
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| 4 | ! |
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| 5 | ! PALM is free software: you can redistribute it and/or modify it under the terms of the GNU General |
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| 6 | ! Public License as published by the Free Software Foundation, either version 3 of the License, or |
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| 7 | ! (at your option) any later version. |
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| 8 | ! |
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| 9 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the |
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| 10 | ! implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General |
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| 11 | ! Public License for more details. |
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| 12 | ! |
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| 13 | ! You should have received a copy of the GNU General Public License along with PALM. If not, see |
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| 14 | ! <http://www.gnu.org/licenses/>. |
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| 15 | ! |
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| 16 | ! Copyright 1997-2021 Leibniz Universitaet Hannover |
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| 17 | !--------------------------------------------------------------------------------------------------! |
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| 18 | ! |
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| 19 | ! |
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| 20 | ! Current revisions: |
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| 21 | ! ----------------- |
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| 22 | ! |
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| 23 | ! |
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| 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: sor.f90 4828 2021-01-05 11:21:41Z raasch $ |
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| 27 | ! File re-formatted to follow the PALM coding standard |
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| 28 | ! |
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| 29 | ! |
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| 30 | ! 4457 2020-03-11 14:20:43Z raasch |
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| 31 | ! Use statement for exchange horiz added |
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| 32 | ! |
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| 33 | ! 4360 2020-01-07 11:25:50Z suehring |
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| 34 | ! Corrected "Former revisions" section |
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| 35 | ! |
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| 36 | ! 3655 2019-01-07 16:51:22Z knoop |
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| 37 | ! Rename variables in mesoscale-offline nesting mode |
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| 38 | ! |
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| 39 | ! Revision 1.1 1997/08/11 06:25:56 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 | !> Solve the Poisson-equation with the SOR-Red/Black-scheme. |
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| 46 | !--------------------------------------------------------------------------------------------------! |
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| 47 | SUBROUTINE sor( d, ddzu, ddzw, p ) |
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| 48 | |
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| 49 | USE arrays_3d, & |
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| 50 | ONLY: rho_air, & |
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| 51 | rho_air_zw |
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| 52 | |
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| 53 | USE control_parameters, & |
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| 54 | ONLY: bc_dirichlet_l, & |
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| 55 | bc_dirichlet_n, & |
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| 56 | bc_dirichlet_r, & |
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| 57 | bc_dirichlet_s, & |
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| 58 | bc_lr_cyc, & |
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| 59 | bc_ns_cyc, & |
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| 60 | bc_radiation_l, & |
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| 61 | bc_radiation_n, & |
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| 62 | bc_radiation_r, & |
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| 63 | bc_radiation_s, & |
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| 64 | ibc_p_b, & |
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| 65 | ibc_p_t, & |
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| 66 | n_sor, & |
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| 67 | omega_sor |
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| 68 | |
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| 69 | USE exchange_horiz_mod, & |
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| 70 | ONLY: exchange_horiz |
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| 71 | |
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| 72 | USE grid_variables, & |
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| 73 | ONLY: ddx2, & |
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| 74 | ddy2 |
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| 75 | |
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| 76 | USE indices, & |
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| 77 | ONLY: nbgp, & |
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| 78 | nxl, & |
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| 79 | nxlg, & |
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| 80 | nxr, & |
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| 81 | nxrg, & |
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| 82 | nyn, & |
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| 83 | nyng, & |
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| 84 | nys, & |
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| 85 | nysg, & |
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| 86 | nz, & |
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| 87 | nzb, & |
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| 88 | nzt |
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| 89 | |
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| 90 | USE kinds |
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| 91 | |
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| 92 | IMPLICIT NONE |
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| 93 | |
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| 94 | INTEGER(iwp) :: i !< |
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| 95 | INTEGER(iwp) :: j !< |
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| 96 | INTEGER(iwp) :: k !< |
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| 97 | INTEGER(iwp) :: n !< |
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| 98 | INTEGER(iwp) :: nxl1 !< |
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| 99 | INTEGER(iwp) :: nxl2 !< |
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| 100 | INTEGER(iwp) :: nys1 !< |
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| 101 | INTEGER(iwp) :: nys2 !< |
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| 102 | |
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| 103 | REAL(wp) :: ddzu(1:nz+1) !< |
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| 104 | REAL(wp) :: ddzw(1:nzt+1) !< |
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| 105 | |
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| 106 | REAL(wp) :: d(nzb+1:nzt,nys:nyn,nxl:nxr) !< |
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| 107 | REAL(wp) :: p(nzb:nzt+1,nysg:nyng,nxlg:nxrg) !< |
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| 108 | |
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| 109 | REAL(wp), DIMENSION(:), ALLOCATABLE :: f1 !< |
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| 110 | REAL(wp), DIMENSION(:), ALLOCATABLE :: f2 !< |
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| 111 | REAL(wp), DIMENSION(:), ALLOCATABLE :: f3 !< |
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| 112 | |
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| 113 | ALLOCATE( f1(1:nz), f2(1:nz), f3(1:nz) ) |
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| 114 | |
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| 115 | ! |
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| 116 | !-- Compute pre-factors. |
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| 117 | DO k = 1, nz |
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| 118 | f2(k) = ddzu(k+1) * ddzw(k) * rho_air_zw(k) |
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| 119 | f3(k) = ddzu(k) * ddzw(k) * rho_air_zw(k-1) |
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| 120 | f1(k) = 2.0_wp * ( ddx2 + ddy2 ) * rho_air(k) + f2(k) + f3(k) |
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| 121 | ENDDO |
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| 122 | |
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| 123 | ! |
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| 124 | !-- Limits for RED- and BLACK-part. |
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| 125 | IF ( MOD( nxl , 2 ) == 0 ) THEN |
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| 126 | nxl1 = nxl |
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| 127 | nxl2 = nxl + 1 |
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| 128 | ELSE |
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| 129 | nxl1 = nxl + 1 |
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| 130 | nxl2 = nxl |
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| 131 | ENDIF |
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| 132 | IF ( MOD( nys , 2 ) == 0 ) THEN |
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| 133 | nys1 = nys |
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| 134 | nys2 = nys + 1 |
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| 135 | ELSE |
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| 136 | nys1 = nys + 1 |
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| 137 | nys2 = nys |
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| 138 | ENDIF |
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| 139 | |
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| 140 | DO n = 1, n_sor |
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| 141 | |
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| 142 | ! |
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| 143 | !-- RED-part |
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| 144 | DO i = nxl1, nxr, 2 |
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| 145 | DO j = nys2, nyn, 2 |
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| 146 | DO k = nzb+1, nzt |
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| 147 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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| 148 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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| 149 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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| 150 | f2(k) * p(k+1,j,i) + & |
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| 151 | f3(k) * p(k-1,j,i) - & |
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| 152 | d(k,j,i) - & |
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| 153 | f1(k) * p(k,j,i) ) |
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| 154 | ENDDO |
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| 155 | ENDDO |
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| 156 | ENDDO |
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| 157 | |
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| 158 | DO i = nxl2, nxr, 2 |
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| 159 | DO j = nys1, nyn, 2 |
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| 160 | DO k = nzb+1, nzt |
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| 161 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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| 162 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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| 163 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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| 164 | f2(k) * p(k+1,j,i) + & |
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| 165 | f3(k) * p(k-1,j,i) - & |
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| 166 | d(k,j,i) - & |
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| 167 | f1(k) * p(k,j,i) ) |
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| 168 | ENDDO |
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| 169 | ENDDO |
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| 170 | ENDDO |
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| 171 | |
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| 172 | ! |
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| 173 | !-- Exchange of boundary values for p. |
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| 174 | CALL exchange_horiz( p, nbgp ) |
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| 175 | |
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| 176 | |
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| 177 | ! |
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| 178 | !-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries |
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| 179 | IF ( .NOT. bc_lr_cyc ) THEN |
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| 180 | IF ( bc_dirichlet_l .OR. bc_radiation_l ) p(:,:,nxl-1) = p(:,:,nxl) |
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| 181 | IF ( bc_dirichlet_r .OR. bc_radiation_r ) p(:,:,nxr+1) = p(:,:,nxr) |
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| 182 | ENDIF |
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| 183 | IF ( .NOT. bc_ns_cyc ) THEN |
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| 184 | IF ( bc_dirichlet_n .OR. bc_radiation_n ) p(:,nyn+1,:) = p(:,nyn,:) |
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| 185 | IF ( bc_dirichlet_s .OR. bc_radiation_s ) p(:,nys-1,:) = p(:,nys,:) |
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| 186 | ENDIF |
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| 187 | |
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| 188 | ! |
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| 189 | !-- BLACK-part |
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| 190 | DO i = nxl1, nxr, 2 |
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| 191 | DO j = nys1, nyn, 2 |
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| 192 | DO k = nzb+1, nzt |
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| 193 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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| 194 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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| 195 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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| 196 | f2(k) * p(k+1,j,i) + & |
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| 197 | f3(k) * p(k-1,j,i) - & |
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| 198 | d(k,j,i) - & |
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| 199 | f1(k) * p(k,j,i) ) |
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| 200 | ENDDO |
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| 201 | ENDDO |
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| 202 | ENDDO |
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| 203 | |
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| 204 | DO i = nxl2, nxr, 2 |
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| 205 | DO j = nys2, nyn, 2 |
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| 206 | DO k = nzb+1, nzt |
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| 207 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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| 208 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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| 209 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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| 210 | f2(k) * p(k+1,j,i) + & |
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| 211 | f3(k) * p(k-1,j,i) - & |
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| 212 | d(k,j,i) - & |
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| 213 | f1(k) * p(k,j,i) ) |
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| 214 | ENDDO |
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| 215 | ENDDO |
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| 216 | ENDDO |
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| 217 | |
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| 218 | ! |
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| 219 | !-- Exchange of boundary values for p. |
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| 220 | CALL exchange_horiz( p, nbgp ) |
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| 221 | |
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| 222 | ! |
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| 223 | !-- Boundary conditions top/bottom. |
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| 224 | !-- Bottom boundary |
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| 225 | IF ( ibc_p_b == 1 ) THEN ! Neumann |
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| 226 | p(nzb,:,:) = p(nzb+1,:,:) |
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| 227 | ELSE ! Dirichlet |
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| 228 | p(nzb,:,:) = 0.0_wp |
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| 229 | ENDIF |
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| 230 | |
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| 231 | ! |
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| 232 | !-- Top boundary |
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| 233 | IF ( ibc_p_t == 1 ) THEN ! Neumann |
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| 234 | p(nzt+1,:,:) = p(nzt,:,:) |
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| 235 | ELSE ! Dirichlet |
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| 236 | p(nzt+1,:,:) = 0.0_wp |
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| 237 | ENDIF |
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| 238 | |
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| 239 | ! |
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| 240 | !-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries |
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| 241 | IF ( .NOT. bc_lr_cyc ) THEN |
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| 242 | IF ( bc_dirichlet_l .OR. bc_radiation_l ) p(:,:,nxl-1) = p(:,:,nxl) |
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| 243 | IF ( bc_dirichlet_r .OR. bc_radiation_r ) p(:,:,nxr+1) = p(:,:,nxr) |
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| 244 | ENDIF |
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| 245 | IF ( .NOT. bc_ns_cyc ) THEN |
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| 246 | IF ( bc_dirichlet_n .OR. bc_radiation_n ) p(:,nyn+1,:) = p(:,nyn,:) |
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| 247 | IF ( bc_dirichlet_s .OR. bc_radiation_s ) p(:,nys-1,:) = p(:,nys,:) |
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| 248 | ENDIF |
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| 249 | |
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| 250 | |
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| 251 | ENDDO |
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| 252 | |
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| 253 | DEALLOCATE( f1, f2, f3 ) |
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| 254 | |
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| 255 | END SUBROUTINE sor |
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