| [1] | 1 | SUBROUTINE sor( d, ddzu, ddzw, p ) |
|---|
| 2 | |
|---|
| [1036] | 3 | !--------------------------------------------------------------------------------! |
|---|
| 4 | ! This file is part of PALM. |
|---|
| 5 | ! |
|---|
| 6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
|---|
| 7 | ! of the GNU General Public License as published by the Free Software Foundation, |
|---|
| 8 | ! either version 3 of the License, or (at your option) any later version. |
|---|
| 9 | ! |
|---|
| 10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
|---|
| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
|---|
| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
|---|
| 13 | ! |
|---|
| 14 | ! You should have received a copy of the GNU General Public License along with |
|---|
| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
|---|
| 16 | ! |
|---|
| [1310] | 17 | ! Copyright 1997-2014 Leibniz Universitaet Hannover |
|---|
| [1036] | 18 | !--------------------------------------------------------------------------------! |
|---|
| 19 | ! |
|---|
| [484] | 20 | ! Current revisions: |
|---|
| [1] | 21 | ! ----------------- |
|---|
| [1321] | 22 | ! |
|---|
| 23 | ! |
|---|
| 24 | ! Former revisions: |
|---|
| 25 | ! ----------------- |
|---|
| 26 | ! $Id: sor.f90 1321 2014-03-20 09:40:40Z maronga $ |
|---|
| 27 | ! |
|---|
| 28 | ! 1320 2014-03-20 08:40:49Z raasch |
|---|
| [1320] | 29 | ! ONLY-attribute added to USE-statements, |
|---|
| 30 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
|---|
| 31 | ! kinds are defined in new module kinds, |
|---|
| 32 | ! old module precision_kind is removed, |
|---|
| 33 | ! revision history before 2012 removed, |
|---|
| 34 | ! comment fields (!:) to be used for variable explanations added to |
|---|
| 35 | ! all variable declaration statements |
|---|
| [1] | 36 | ! |
|---|
| [1037] | 37 | ! 1036 2012-10-22 13:43:42Z raasch |
|---|
| 38 | ! code put under GPL (PALM 3.9) |
|---|
| 39 | ! |
|---|
| [1] | 40 | ! Revision 1.1 1997/08/11 06:25:56 raasch |
|---|
| 41 | ! Initial revision |
|---|
| 42 | ! |
|---|
| 43 | ! |
|---|
| 44 | ! Description: |
|---|
| 45 | ! ------------ |
|---|
| 46 | ! Solve the Poisson-equation with the SOR-Red/Black-scheme. |
|---|
| [3] | 47 | !------------------------------------------------------------------------------! |
|---|
| [1] | 48 | |
|---|
| [1320] | 49 | USE grid_variables, & |
|---|
| 50 | ONLY: ddx2, ddy2 |
|---|
| [1] | 51 | |
|---|
| [1320] | 52 | USE indices, & |
|---|
| 53 | ONLY: nbgp, nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nz, nzb, nzt |
|---|
| 54 | |
|---|
| 55 | USE kinds |
|---|
| 56 | |
|---|
| 57 | USE control_parameters, & |
|---|
| 58 | ONLY: bc_lr_cyc, bc_ns_cyc, ibc_p_b, ibc_p_t, inflow_l, inflow_n, & |
|---|
| 59 | inflow_r, inflow_s, n_sor, omega_sor, outflow_l, outflow_n, & |
|---|
| 60 | outflow_r, outflow_s |
|---|
| 61 | |
|---|
| [1] | 62 | IMPLICIT NONE |
|---|
| 63 | |
|---|
| [1320] | 64 | INTEGER(iwp) :: i !: |
|---|
| 65 | INTEGER(iwp) :: j !: |
|---|
| 66 | INTEGER(iwp) :: k !: |
|---|
| 67 | INTEGER(iwp) :: n !: |
|---|
| 68 | INTEGER(iwp) :: nxl1 !: |
|---|
| 69 | INTEGER(iwp) :: nxl2 !: |
|---|
| 70 | INTEGER(iwp) :: nys1 !: |
|---|
| 71 | INTEGER(iwp) :: nys2 !: |
|---|
| [1] | 72 | |
|---|
| [1320] | 73 | REAL(wp) :: ddzu(1:nz+1) !: |
|---|
| 74 | REAL(wp) :: ddzw(1:nzt+1) !: |
|---|
| 75 | |
|---|
| 76 | REAL(wp) :: d(nzb+1:nzt,nys:nyn,nxl:nxr) !: |
|---|
| 77 | REAL(wp) :: p(nzb:nzt+1,nysg:nyng,nxlg:nxrg) !: |
|---|
| 78 | |
|---|
| 79 | REAL(wp), DIMENSION(:), ALLOCATABLE :: f1 !: |
|---|
| 80 | REAL(wp), DIMENSION(:), ALLOCATABLE :: f2 !: |
|---|
| 81 | REAL(wp), DIMENSION(:), ALLOCATABLE :: f3 !: |
|---|
| 82 | |
|---|
| [1] | 83 | ALLOCATE( f1(1:nz), f2(1:nz), f3(1:nz) ) |
|---|
| 84 | |
|---|
| 85 | ! |
|---|
| 86 | !-- Compute pre-factors. |
|---|
| 87 | DO k = 1, nz |
|---|
| 88 | f2(k) = ddzu(k+1) * ddzw(k) |
|---|
| 89 | f3(k) = ddzu(k) * ddzw(k) |
|---|
| 90 | f1(k) = 2.0 * ( ddx2 + ddy2 ) + f2(k) + f3(k) |
|---|
| 91 | ENDDO |
|---|
| 92 | |
|---|
| 93 | ! |
|---|
| 94 | !-- Limits for RED- and BLACK-part. |
|---|
| 95 | IF ( MOD( nxl , 2 ) == 0 ) THEN |
|---|
| 96 | nxl1 = nxl |
|---|
| 97 | nxl2 = nxl + 1 |
|---|
| 98 | ELSE |
|---|
| 99 | nxl1 = nxl + 1 |
|---|
| 100 | nxl2 = nxl |
|---|
| 101 | ENDIF |
|---|
| 102 | IF ( MOD( nys , 2 ) == 0 ) THEN |
|---|
| 103 | nys1 = nys |
|---|
| 104 | nys2 = nys + 1 |
|---|
| 105 | ELSE |
|---|
| 106 | nys1 = nys + 1 |
|---|
| 107 | nys2 = nys |
|---|
| 108 | ENDIF |
|---|
| 109 | |
|---|
| 110 | DO n = 1, n_sor |
|---|
| 111 | |
|---|
| 112 | ! |
|---|
| 113 | !-- RED-part |
|---|
| 114 | DO i = nxl1, nxr, 2 |
|---|
| 115 | DO j = nys2, nyn, 2 |
|---|
| 116 | DO k = nzb+1, nzt |
|---|
| 117 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
|---|
| 118 | ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
|---|
| 119 | ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
|---|
| 120 | f2(k) * p(k+1,j,i) + & |
|---|
| 121 | f3(k) * p(k-1,j,i) - & |
|---|
| 122 | d(k,j,i) - & |
|---|
| 123 | f1(k) * p(k,j,i) ) |
|---|
| 124 | ENDDO |
|---|
| 125 | ENDDO |
|---|
| 126 | ENDDO |
|---|
| 127 | |
|---|
| 128 | DO i = nxl2, nxr, 2 |
|---|
| 129 | DO j = nys1, nyn, 2 |
|---|
| 130 | DO k = nzb+1, nzt |
|---|
| 131 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
|---|
| 132 | ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
|---|
| 133 | ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
|---|
| 134 | f2(k) * p(k+1,j,i) + & |
|---|
| 135 | f3(k) * p(k-1,j,i) - & |
|---|
| 136 | d(k,j,i) - & |
|---|
| 137 | f1(k) * p(k,j,i) ) |
|---|
| 138 | ENDDO |
|---|
| 139 | ENDDO |
|---|
| 140 | ENDDO |
|---|
| 141 | |
|---|
| 142 | ! |
|---|
| 143 | !-- Exchange of boundary values for p. |
|---|
| [667] | 144 | CALL exchange_horiz( p, nbgp ) |
|---|
| [1] | 145 | |
|---|
| 146 | ! |
|---|
| 147 | !-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries |
|---|
| [707] | 148 | IF ( .NOT. bc_lr_cyc ) THEN |
|---|
| [1] | 149 | IF ( inflow_l .OR. outflow_l ) p(:,:,nxl-1) = p(:,:,nxl) |
|---|
| 150 | IF ( inflow_r .OR. outflow_r ) p(:,:,nxr+1) = p(:,:,nxr) |
|---|
| 151 | ENDIF |
|---|
| [707] | 152 | IF ( .NOT. bc_ns_cyc ) THEN |
|---|
| [1] | 153 | IF ( inflow_n .OR. outflow_n ) p(:,nyn+1,:) = p(:,nyn,:) |
|---|
| 154 | IF ( inflow_s .OR. outflow_s ) p(:,nys-1,:) = p(:,nys,:) |
|---|
| 155 | ENDIF |
|---|
| 156 | |
|---|
| 157 | ! |
|---|
| 158 | !-- BLACK-part |
|---|
| 159 | DO i = nxl1, nxr, 2 |
|---|
| 160 | DO j = nys1, nyn, 2 |
|---|
| 161 | DO k = nzb+1, nzt |
|---|
| 162 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
|---|
| 163 | ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
|---|
| 164 | ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
|---|
| 165 | f2(k) * p(k+1,j,i) + & |
|---|
| 166 | f3(k) * p(k-1,j,i) - & |
|---|
| 167 | d(k,j,i) - & |
|---|
| 168 | f1(k) * p(k,j,i) ) |
|---|
| 169 | ENDDO |
|---|
| 170 | ENDDO |
|---|
| 171 | ENDDO |
|---|
| 172 | |
|---|
| 173 | DO i = nxl2, nxr, 2 |
|---|
| 174 | DO j = nys2, nyn, 2 |
|---|
| 175 | DO k = nzb+1, nzt |
|---|
| 176 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
|---|
| 177 | ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
|---|
| 178 | ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
|---|
| 179 | f2(k) * p(k+1,j,i) + & |
|---|
| 180 | f3(k) * p(k-1,j,i) - & |
|---|
| 181 | d(k,j,i) - & |
|---|
| 182 | f1(k) * p(k,j,i) ) |
|---|
| 183 | ENDDO |
|---|
| 184 | ENDDO |
|---|
| 185 | ENDDO |
|---|
| 186 | |
|---|
| 187 | ! |
|---|
| 188 | !-- Exchange of boundary values for p. |
|---|
| [667] | 189 | CALL exchange_horiz( p, nbgp ) |
|---|
| [1] | 190 | |
|---|
| 191 | ! |
|---|
| 192 | !-- Boundary conditions top/bottom. |
|---|
| 193 | !-- Bottom boundary |
|---|
| [667] | 194 | IF ( ibc_p_b == 1 ) THEN ! Neumann |
|---|
| [1] | 195 | p(nzb,:,:) = p(nzb+1,:,:) |
|---|
| [667] | 196 | ELSE ! Dirichlet |
|---|
| [1] | 197 | p(nzb,:,:) = 0.0 |
|---|
| 198 | ENDIF |
|---|
| 199 | |
|---|
| 200 | ! |
|---|
| 201 | !-- Top boundary |
|---|
| [667] | 202 | IF ( ibc_p_t == 1 ) THEN ! Neumann |
|---|
| [1] | 203 | p(nzt+1,:,:) = p(nzt,:,:) |
|---|
| [667] | 204 | ELSE ! Dirichlet |
|---|
| [1] | 205 | p(nzt+1,:,:) = 0.0 |
|---|
| 206 | ENDIF |
|---|
| 207 | |
|---|
| 208 | ! |
|---|
| 209 | !-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries |
|---|
| [707] | 210 | IF ( .NOT. bc_lr_cyc ) THEN |
|---|
| [1] | 211 | IF ( inflow_l .OR. outflow_l ) p(:,:,nxl-1) = p(:,:,nxl) |
|---|
| 212 | IF ( inflow_r .OR. outflow_r ) p(:,:,nxr+1) = p(:,:,nxr) |
|---|
| 213 | ENDIF |
|---|
| [707] | 214 | IF ( .NOT. bc_ns_cyc ) THEN |
|---|
| [1] | 215 | IF ( inflow_n .OR. outflow_n ) p(:,nyn+1,:) = p(:,nyn,:) |
|---|
| 216 | IF ( inflow_s .OR. outflow_s ) p(:,nys-1,:) = p(:,nys,:) |
|---|
| 217 | ENDIF |
|---|
| 218 | |
|---|
| [667] | 219 | |
|---|
| [1] | 220 | ENDDO |
|---|
| 221 | |
|---|
| 222 | DEALLOCATE( f1, f2, f3 ) |
|---|
| 223 | |
|---|
| 224 | END SUBROUTINE sor |
|---|
