| 1 | SUBROUTINE sor( d, ddzu, ddzw, p ) |
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| 2 | |
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| 3 | !------------------------------------------------------------------------------! |
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| 4 | ! Actual revisions: |
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| 5 | ! ----------------- |
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| 6 | ! |
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| 7 | ! |
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| 8 | ! Former revisions: |
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| 9 | ! ----------------- |
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| 10 | ! $Log: sor.f90,v $ |
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| 11 | ! Revision 1.9 2005/03/26 21:02:23 raasch |
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| 12 | ! Implementation of non-cyclic (Neumann) horizontal boundary conditions, |
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| 13 | ! dx2,dy2 replaced by ddx2,ddy2 |
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| 14 | ! |
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| 15 | ! Revision 1.8 2001/03/30 07:52:44 raasch |
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| 16 | ! Arrays f1-f3 changed from dummy arguments to allocatable arrays, |
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| 17 | ! Translation of remaining German identifiers (variables, subroutines, etc.) |
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| 18 | ! |
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| 19 | ! Revision 1.7 2001/01/30 21:41:25 letzel |
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| 20 | ! All comments translated into English. |
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| 21 | ! |
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| 22 | ! Revision 1.6 2001/01/22 08:06:14 raasch |
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| 23 | ! Module test_variables removed |
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| 24 | ! |
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| 25 | ! Revision 1.5 1998/07/06 12:33:13 raasch |
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| 26 | ! + USE test_variables |
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| 27 | ! |
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| 28 | ! Revision 1.4 1997/09/12 06:30:12 raasch |
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| 29 | ! Randbedingungen umbenannt |
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| 30 | ! |
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| 31 | ! Revision 1.3 1997/09/09 08:30:44 raasch |
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| 32 | ! Kehrwerte der Gitterweiten implementiert |
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| 33 | ! |
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| 34 | ! Revision 1.2 1997/08/29 09:00:58 raasch |
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| 35 | ! omega --> omega_sor |
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| 36 | ! |
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| 37 | ! Revision 1.1 1997/08/11 06:25:56 raasch |
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| 38 | ! Initial revision |
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| 39 | ! |
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| 40 | ! |
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| 41 | ! Description: |
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| 42 | ! ------------ |
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| 43 | ! Solve the Poisson-equation with the SOR-Red/Black-scheme. |
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| 44 | !-------------------------------------------------------------------------------! |
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| 45 | |
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| 46 | USE grid_variables |
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| 47 | USE indices |
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| 48 | USE pegrid |
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| 49 | USE control_parameters |
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| 50 | |
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| 51 | IMPLICIT NONE |
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| 52 | |
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| 53 | INTEGER :: i, j, k, n, nxl1, nxl2, nys1, nys2 |
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| 54 | REAL :: ddzu(1:nz+1), ddzw(1:nz) |
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| 55 | REAL :: d(nzb+1:nzt,nys:nyn,nxl:nxr), & |
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| 56 | p(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
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| 57 | REAL, DIMENSION(:), ALLOCATABLE :: f1, f2, f3 |
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| 58 | |
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| 59 | ALLOCATE( f1(1:nz), f2(1:nz), f3(1:nz) ) |
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| 60 | |
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| 61 | ! |
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| 62 | !-- Compute pre-factors. |
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| 63 | DO k = 1, nz |
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| 64 | f2(k) = ddzu(k+1) * ddzw(k) |
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| 65 | f3(k) = ddzu(k) * ddzw(k) |
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| 66 | f1(k) = 2.0 * ( ddx2 + ddy2 ) + f2(k) + f3(k) |
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| 67 | ENDDO |
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| 68 | |
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| 69 | ! |
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| 70 | !-- Limits for RED- and BLACK-part. |
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| 71 | IF ( MOD( nxl , 2 ) == 0 ) THEN |
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| 72 | nxl1 = nxl |
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| 73 | nxl2 = nxl + 1 |
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| 74 | ELSE |
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| 75 | nxl1 = nxl + 1 |
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| 76 | nxl2 = nxl |
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| 77 | ENDIF |
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| 78 | IF ( MOD( nys , 2 ) == 0 ) THEN |
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| 79 | nys1 = nys |
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| 80 | nys2 = nys + 1 |
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| 81 | ELSE |
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| 82 | nys1 = nys + 1 |
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| 83 | nys2 = nys |
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| 84 | ENDIF |
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| 85 | |
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| 86 | DO n = 1, n_sor |
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| 87 | |
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| 88 | ! |
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| 89 | !-- RED-part |
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| 90 | DO i = nxl1, nxr, 2 |
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| 91 | DO j = nys2, nyn, 2 |
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| 92 | DO k = nzb+1, nzt |
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| 93 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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| 94 | ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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| 95 | ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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| 96 | f2(k) * p(k+1,j,i) + & |
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| 97 | f3(k) * p(k-1,j,i) - & |
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| 98 | d(k,j,i) - & |
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| 99 | f1(k) * p(k,j,i) ) |
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| 100 | ENDDO |
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| 101 | ENDDO |
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| 102 | ENDDO |
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| 103 | |
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| 104 | DO i = nxl2, nxr, 2 |
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| 105 | DO j = nys1, nyn, 2 |
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| 106 | DO k = nzb+1, nzt |
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| 107 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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| 108 | ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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| 109 | ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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| 110 | f2(k) * p(k+1,j,i) + & |
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| 111 | f3(k) * p(k-1,j,i) - & |
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| 112 | d(k,j,i) - & |
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| 113 | f1(k) * p(k,j,i) ) |
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| 114 | ENDDO |
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| 115 | ENDDO |
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| 116 | ENDDO |
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| 117 | |
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| 118 | ! |
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| 119 | !-- Exchange of boundary values for p. |
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| 120 | CALL exchange_horiz( p, 0, 0 ) |
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| 121 | |
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| 122 | ! |
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| 123 | !-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries |
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| 124 | IF ( bc_lr /= 'cyclic' ) THEN |
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| 125 | IF ( inflow_l .OR. outflow_l ) p(:,:,nxl-1) = p(:,:,nxl) |
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| 126 | IF ( inflow_r .OR. outflow_r ) p(:,:,nxr+1) = p(:,:,nxr) |
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| 127 | ENDIF |
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| 128 | IF ( bc_ns /= 'cyclic' ) THEN |
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| 129 | IF ( inflow_n .OR. outflow_n ) p(:,nyn+1,:) = p(:,nyn,:) |
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| 130 | IF ( inflow_s .OR. outflow_s ) p(:,nys-1,:) = p(:,nys,:) |
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| 131 | ENDIF |
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| 132 | |
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| 133 | ! |
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| 134 | !-- BLACK-part |
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| 135 | DO i = nxl1, nxr, 2 |
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| 136 | DO j = nys1, nyn, 2 |
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| 137 | DO k = nzb+1, nzt |
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| 138 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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| 139 | ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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| 140 | ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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| 141 | f2(k) * p(k+1,j,i) + & |
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| 142 | f3(k) * p(k-1,j,i) - & |
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| 143 | d(k,j,i) - & |
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| 144 | f1(k) * p(k,j,i) ) |
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| 145 | ENDDO |
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| 146 | ENDDO |
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| 147 | ENDDO |
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| 148 | |
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| 149 | DO i = nxl2, nxr, 2 |
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| 150 | DO j = nys2, nyn, 2 |
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| 151 | DO k = nzb+1, nzt |
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| 152 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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| 153 | ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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| 154 | ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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| 155 | f2(k) * p(k+1,j,i) + & |
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| 156 | f3(k) * p(k-1,j,i) - & |
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| 157 | d(k,j,i) - & |
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| 158 | f1(k) * p(k,j,i) ) |
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| 159 | ENDDO |
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| 160 | ENDDO |
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| 161 | ENDDO |
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| 162 | |
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| 163 | ! |
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| 164 | !-- Exchange of boundary values for p. |
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| 165 | CALL exchange_horiz( p, 0, 0 ) |
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| 166 | |
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| 167 | ! |
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| 168 | !-- Boundary conditions top/bottom. |
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| 169 | !-- Bottom boundary |
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| 170 | IF ( ibc_p_b == 1 ) THEN |
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| 171 | ! |
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| 172 | !-- Neumann |
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| 173 | p(nzb,:,:) = p(nzb+1,:,:) |
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| 174 | ELSE |
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| 175 | ! |
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| 176 | !-- Dirichlet |
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| 177 | p(nzb,:,:) = 0.0 |
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| 178 | ENDIF |
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| 179 | |
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| 180 | ! |
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| 181 | !-- Top boundary |
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| 182 | IF ( ibc_p_t == 1 ) THEN |
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| 183 | ! |
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| 184 | !-- Neumann |
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| 185 | p(nzt+1,:,:) = p(nzt,:,:) |
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| 186 | ELSE |
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| 187 | ! |
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| 188 | !-- Dirichlet |
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| 189 | p(nzt+1,:,:) = 0.0 |
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| 190 | ENDIF |
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| 191 | |
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| 192 | ! |
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| 193 | !-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries |
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| 194 | IF ( bc_lr /= 'cyclic' ) THEN |
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| 195 | IF ( inflow_l .OR. outflow_l ) p(:,:,nxl-1) = p(:,:,nxl) |
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| 196 | IF ( inflow_r .OR. outflow_r ) p(:,:,nxr+1) = p(:,:,nxr) |
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| 197 | ENDIF |
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| 198 | IF ( bc_ns /= 'cyclic' ) THEN |
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| 199 | IF ( inflow_n .OR. outflow_n ) p(:,nyn+1,:) = p(:,nyn,:) |
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| 200 | IF ( inflow_s .OR. outflow_s ) p(:,nys-1,:) = p(:,nys,:) |
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| 201 | ENDIF |
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| 202 | |
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| 203 | ENDDO |
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| 204 | |
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| 205 | DEALLOCATE( f1, f2, f3 ) |
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| 206 | |
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| 207 | END SUBROUTINE sor |
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