| 1 | !> @file sor.f90 |
|---|
| 2 | !--------------------------------------------------------------------------------------------------! |
|---|
| 3 | ! This file is part of the PALM model system. |
|---|
| 4 | ! |
|---|
| 5 | ! PALM is free software: you can redistribute it and/or modify it under the terms of the GNU General |
|---|
| 6 | ! Public License as published by the Free Software Foundation, either version 3 of the License, or |
|---|
| 7 | ! (at your option) any later version. |
|---|
| 8 | ! |
|---|
| 9 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the |
|---|
| 10 | ! implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General |
|---|
| 11 | ! Public License for more details. |
|---|
| 12 | ! |
|---|
| 13 | ! You should have received a copy of the GNU General Public License along with PALM. If not, see |
|---|
| 14 | ! <http://www.gnu.org/licenses/>. |
|---|
| 15 | ! |
|---|
| 16 | ! Copyright 1997-2021 Leibniz Universitaet Hannover |
|---|
| 17 | !--------------------------------------------------------------------------------------------------! |
|---|
| 18 | ! |
|---|
| 19 | ! |
|---|
| 20 | ! Current revisions: |
|---|
| 21 | ! ----------------- |
|---|
| 22 | ! |
|---|
| 23 | ! |
|---|
| 24 | ! Former revisions: |
|---|
| 25 | ! ----------------- |
|---|
| 26 | ! $Id: sor.f90 4828 2021-01-05 11:21:41Z Giersch $ |
|---|
| 27 | ! File re-formatted to follow the PALM coding standard |
|---|
| 28 | ! |
|---|
| 29 | ! |
|---|
| 30 | ! 4457 2020-03-11 14:20:43Z raasch |
|---|
| 31 | ! Use statement for exchange horiz added |
|---|
| 32 | ! |
|---|
| 33 | ! 4360 2020-01-07 11:25:50Z suehring |
|---|
| 34 | ! Corrected "Former revisions" section |
|---|
| 35 | ! |
|---|
| 36 | ! 3655 2019-01-07 16:51:22Z knoop |
|---|
| 37 | ! Rename variables in mesoscale-offline nesting mode |
|---|
| 38 | ! |
|---|
| 39 | ! Revision 1.1 1997/08/11 06:25:56 raasch |
|---|
| 40 | ! Initial revision |
|---|
| 41 | ! |
|---|
| 42 | !--------------------------------------------------------------------------------------------------! |
|---|
| 43 | ! Description: |
|---|
| 44 | ! ------------ |
|---|
| 45 | !> Solve the Poisson-equation with the SOR-Red/Black-scheme. |
|---|
| 46 | !--------------------------------------------------------------------------------------------------! |
|---|
| 47 | SUBROUTINE sor( d, ddzu, ddzw, p ) |
|---|
| 48 | |
|---|
| 49 | USE arrays_3d, & |
|---|
| 50 | ONLY: rho_air, & |
|---|
| 51 | rho_air_zw |
|---|
| 52 | |
|---|
| 53 | USE control_parameters, & |
|---|
| 54 | ONLY: bc_dirichlet_l, & |
|---|
| 55 | bc_dirichlet_n, & |
|---|
| 56 | bc_dirichlet_r, & |
|---|
| 57 | bc_dirichlet_s, & |
|---|
| 58 | bc_lr_cyc, & |
|---|
| 59 | bc_ns_cyc, & |
|---|
| 60 | bc_radiation_l, & |
|---|
| 61 | bc_radiation_n, & |
|---|
| 62 | bc_radiation_r, & |
|---|
| 63 | bc_radiation_s, & |
|---|
| 64 | ibc_p_b, & |
|---|
| 65 | ibc_p_t, & |
|---|
| 66 | n_sor, & |
|---|
| 67 | omega_sor |
|---|
| 68 | |
|---|
| 69 | USE exchange_horiz_mod, & |
|---|
| 70 | ONLY: exchange_horiz |
|---|
| 71 | |
|---|
| 72 | USE grid_variables, & |
|---|
| 73 | ONLY: ddx2, & |
|---|
| 74 | ddy2 |
|---|
| 75 | |
|---|
| 76 | USE indices, & |
|---|
| 77 | ONLY: nbgp, & |
|---|
| 78 | nxl, & |
|---|
| 79 | nxlg, & |
|---|
| 80 | nxr, & |
|---|
| 81 | nxrg, & |
|---|
| 82 | nyn, & |
|---|
| 83 | nyng, & |
|---|
| 84 | nys, & |
|---|
| 85 | nysg, & |
|---|
| 86 | nz, & |
|---|
| 87 | nzb, & |
|---|
| 88 | nzt |
|---|
| 89 | |
|---|
| 90 | USE kinds |
|---|
| 91 | |
|---|
| 92 | IMPLICIT NONE |
|---|
| 93 | |
|---|
| 94 | INTEGER(iwp) :: i !< |
|---|
| 95 | INTEGER(iwp) :: j !< |
|---|
| 96 | INTEGER(iwp) :: k !< |
|---|
| 97 | INTEGER(iwp) :: n !< |
|---|
| 98 | INTEGER(iwp) :: nxl1 !< |
|---|
| 99 | INTEGER(iwp) :: nxl2 !< |
|---|
| 100 | INTEGER(iwp) :: nys1 !< |
|---|
| 101 | INTEGER(iwp) :: nys2 !< |
|---|
| 102 | |
|---|
| 103 | REAL(wp) :: ddzu(1:nz+1) !< |
|---|
| 104 | REAL(wp) :: ddzw(1:nzt+1) !< |
|---|
| 105 | |
|---|
| 106 | REAL(wp) :: d(nzb+1:nzt,nys:nyn,nxl:nxr) !< |
|---|
| 107 | REAL(wp) :: p(nzb:nzt+1,nysg:nyng,nxlg:nxrg) !< |
|---|
| 108 | |
|---|
| 109 | REAL(wp), DIMENSION(:), ALLOCATABLE :: f1 !< |
|---|
| 110 | REAL(wp), DIMENSION(:), ALLOCATABLE :: f2 !< |
|---|
| 111 | REAL(wp), DIMENSION(:), ALLOCATABLE :: f3 !< |
|---|
| 112 | |
|---|
| 113 | ALLOCATE( f1(1:nz), f2(1:nz), f3(1:nz) ) |
|---|
| 114 | |
|---|
| 115 | ! |
|---|
| 116 | !-- Compute pre-factors. |
|---|
| 117 | DO k = 1, nz |
|---|
| 118 | f2(k) = ddzu(k+1) * ddzw(k) * rho_air_zw(k) |
|---|
| 119 | f3(k) = ddzu(k) * ddzw(k) * rho_air_zw(k-1) |
|---|
| 120 | f1(k) = 2.0_wp * ( ddx2 + ddy2 ) * rho_air(k) + f2(k) + f3(k) |
|---|
| 121 | ENDDO |
|---|
| 122 | |
|---|
| 123 | ! |
|---|
| 124 | !-- Limits for RED- and BLACK-part. |
|---|
| 125 | IF ( MOD( nxl , 2 ) == 0 ) THEN |
|---|
| 126 | nxl1 = nxl |
|---|
| 127 | nxl2 = nxl + 1 |
|---|
| 128 | ELSE |
|---|
| 129 | nxl1 = nxl + 1 |
|---|
| 130 | nxl2 = nxl |
|---|
| 131 | ENDIF |
|---|
| 132 | IF ( MOD( nys , 2 ) == 0 ) THEN |
|---|
| 133 | nys1 = nys |
|---|
| 134 | nys2 = nys + 1 |
|---|
| 135 | ELSE |
|---|
| 136 | nys1 = nys + 1 |
|---|
| 137 | nys2 = nys |
|---|
| 138 | ENDIF |
|---|
| 139 | |
|---|
| 140 | DO n = 1, n_sor |
|---|
| 141 | |
|---|
| 142 | ! |
|---|
| 143 | !-- RED-part |
|---|
| 144 | DO i = nxl1, nxr, 2 |
|---|
| 145 | DO j = nys2, nyn, 2 |
|---|
| 146 | DO k = nzb+1, nzt |
|---|
| 147 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
|---|
| 148 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
|---|
| 149 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
|---|
| 150 | f2(k) * p(k+1,j,i) + & |
|---|
| 151 | f3(k) * p(k-1,j,i) - & |
|---|
| 152 | d(k,j,i) - & |
|---|
| 153 | f1(k) * p(k,j,i) ) |
|---|
| 154 | ENDDO |
|---|
| 155 | ENDDO |
|---|
| 156 | ENDDO |
|---|
| 157 | |
|---|
| 158 | DO i = nxl2, nxr, 2 |
|---|
| 159 | DO j = nys1, nyn, 2 |
|---|
| 160 | DO k = nzb+1, nzt |
|---|
| 161 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
|---|
| 162 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
|---|
| 163 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
|---|
| 164 | f2(k) * p(k+1,j,i) + & |
|---|
| 165 | f3(k) * p(k-1,j,i) - & |
|---|
| 166 | d(k,j,i) - & |
|---|
| 167 | f1(k) * p(k,j,i) ) |
|---|
| 168 | ENDDO |
|---|
| 169 | ENDDO |
|---|
| 170 | ENDDO |
|---|
| 171 | |
|---|
| 172 | ! |
|---|
| 173 | !-- Exchange of boundary values for p. |
|---|
| 174 | CALL exchange_horiz( p, nbgp ) |
|---|
| 175 | |
|---|
| 176 | |
|---|
| 177 | ! |
|---|
| 178 | !-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries |
|---|
| 179 | IF ( .NOT. bc_lr_cyc ) THEN |
|---|
| 180 | IF ( bc_dirichlet_l .OR. bc_radiation_l ) p(:,:,nxl-1) = p(:,:,nxl) |
|---|
| 181 | IF ( bc_dirichlet_r .OR. bc_radiation_r ) p(:,:,nxr+1) = p(:,:,nxr) |
|---|
| 182 | ENDIF |
|---|
| 183 | IF ( .NOT. bc_ns_cyc ) THEN |
|---|
| 184 | IF ( bc_dirichlet_n .OR. bc_radiation_n ) p(:,nyn+1,:) = p(:,nyn,:) |
|---|
| 185 | IF ( bc_dirichlet_s .OR. bc_radiation_s ) p(:,nys-1,:) = p(:,nys,:) |
|---|
| 186 | ENDIF |
|---|
| 187 | |
|---|
| 188 | ! |
|---|
| 189 | !-- BLACK-part |
|---|
| 190 | DO i = nxl1, nxr, 2 |
|---|
| 191 | DO j = nys1, nyn, 2 |
|---|
| 192 | DO k = nzb+1, nzt |
|---|
| 193 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
|---|
| 194 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
|---|
| 195 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
|---|
| 196 | f2(k) * p(k+1,j,i) + & |
|---|
| 197 | f3(k) * p(k-1,j,i) - & |
|---|
| 198 | d(k,j,i) - & |
|---|
| 199 | f1(k) * p(k,j,i) ) |
|---|
| 200 | ENDDO |
|---|
| 201 | ENDDO |
|---|
| 202 | ENDDO |
|---|
| 203 | |
|---|
| 204 | DO i = nxl2, nxr, 2 |
|---|
| 205 | DO j = nys2, nyn, 2 |
|---|
| 206 | DO k = nzb+1, nzt |
|---|
| 207 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
|---|
| 208 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
|---|
| 209 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
|---|
| 210 | f2(k) * p(k+1,j,i) + & |
|---|
| 211 | f3(k) * p(k-1,j,i) - & |
|---|
| 212 | d(k,j,i) - & |
|---|
| 213 | f1(k) * p(k,j,i) ) |
|---|
| 214 | ENDDO |
|---|
| 215 | ENDDO |
|---|
| 216 | ENDDO |
|---|
| 217 | |
|---|
| 218 | ! |
|---|
| 219 | !-- Exchange of boundary values for p. |
|---|
| 220 | CALL exchange_horiz( p, nbgp ) |
|---|
| 221 | |
|---|
| 222 | ! |
|---|
| 223 | !-- Boundary conditions top/bottom. |
|---|
| 224 | !-- Bottom boundary |
|---|
| 225 | IF ( ibc_p_b == 1 ) THEN ! Neumann |
|---|
| 226 | p(nzb,:,:) = p(nzb+1,:,:) |
|---|
| 227 | ELSE ! Dirichlet |
|---|
| 228 | p(nzb,:,:) = 0.0_wp |
|---|
| 229 | ENDIF |
|---|
| 230 | |
|---|
| 231 | ! |
|---|
| 232 | !-- Top boundary |
|---|
| 233 | IF ( ibc_p_t == 1 ) THEN ! Neumann |
|---|
| 234 | p(nzt+1,:,:) = p(nzt,:,:) |
|---|
| 235 | ELSE ! Dirichlet |
|---|
| 236 | p(nzt+1,:,:) = 0.0_wp |
|---|
| 237 | ENDIF |
|---|
| 238 | |
|---|
| 239 | ! |
|---|
| 240 | !-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries |
|---|
| 241 | IF ( .NOT. bc_lr_cyc ) THEN |
|---|
| 242 | IF ( bc_dirichlet_l .OR. bc_radiation_l ) p(:,:,nxl-1) = p(:,:,nxl) |
|---|
| 243 | IF ( bc_dirichlet_r .OR. bc_radiation_r ) p(:,:,nxr+1) = p(:,:,nxr) |
|---|
| 244 | ENDIF |
|---|
| 245 | IF ( .NOT. bc_ns_cyc ) THEN |
|---|
| 246 | IF ( bc_dirichlet_n .OR. bc_radiation_n ) p(:,nyn+1,:) = p(:,nyn,:) |
|---|
| 247 | IF ( bc_dirichlet_s .OR. bc_radiation_s ) p(:,nys-1,:) = p(:,nys,:) |
|---|
| 248 | ENDIF |
|---|
| 249 | |
|---|
| 250 | |
|---|
| 251 | ENDDO |
|---|
| 252 | |
|---|
| 253 | DEALLOCATE( f1, f2, f3 ) |
|---|
| 254 | |
|---|
| 255 | END SUBROUTINE sor |
|---|
