SUBROUTINE sor( d, ddzu, ddzw, p ) !------------------------------------------------------------------------------! ! Current revisions: ! ----------------- ! ! ! Former revisions: ! ----------------- ! $Id: sor.f90 484 2010-02-05 07:36:54Z maronga $ ! ! 75 2007-03-22 09:54:05Z raasch ! 2nd+3rd argument removed from exchange horiz ! ! RCS Log replace by Id keyword, revision history cleaned up ! ! Revision 1.9 2005/03/26 21:02:23 raasch ! Implementation of non-cyclic (Neumann) horizontal boundary conditions, ! dx2,dy2 replaced by ddx2,ddy2 ! ! Revision 1.1 1997/08/11 06:25:56 raasch ! Initial revision ! ! ! Description: ! ------------ ! Solve the Poisson-equation with the SOR-Red/Black-scheme. !------------------------------------------------------------------------------! USE grid_variables USE indices USE pegrid USE control_parameters IMPLICIT NONE INTEGER :: i, j, k, n, nxl1, nxl2, nys1, nys2 REAL :: ddzu(1:nz+1), ddzw(1:nz) REAL :: d(nzb+1:nzt,nys:nyn,nxl:nxr), & p(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) REAL, DIMENSION(:), ALLOCATABLE :: f1, f2, f3 ALLOCATE( f1(1:nz), f2(1:nz), f3(1:nz) ) ! !-- Compute pre-factors. DO k = 1, nz f2(k) = ddzu(k+1) * ddzw(k) f3(k) = ddzu(k) * ddzw(k) f1(k) = 2.0 * ( ddx2 + ddy2 ) + f2(k) + f3(k) ENDDO ! !-- Limits for RED- and BLACK-part. IF ( MOD( nxl , 2 ) == 0 ) THEN nxl1 = nxl nxl2 = nxl + 1 ELSE nxl1 = nxl + 1 nxl2 = nxl ENDIF IF ( MOD( nys , 2 ) == 0 ) THEN nys1 = nys nys2 = nys + 1 ELSE nys1 = nys + 1 nys2 = nys ENDIF DO n = 1, n_sor ! !-- RED-part DO i = nxl1, nxr, 2 DO j = nys2, nyn, 2 DO k = nzb+1, nzt p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & f2(k) * p(k+1,j,i) + & f3(k) * p(k-1,j,i) - & d(k,j,i) - & f1(k) * p(k,j,i) ) ENDDO ENDDO ENDDO DO i = nxl2, nxr, 2 DO j = nys1, nyn, 2 DO k = nzb+1, nzt p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & f2(k) * p(k+1,j,i) + & f3(k) * p(k-1,j,i) - & d(k,j,i) - & f1(k) * p(k,j,i) ) ENDDO ENDDO ENDDO ! !-- Exchange of boundary values for p. CALL exchange_horiz( p ) ! !-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries IF ( bc_lr /= 'cyclic' ) THEN IF ( inflow_l .OR. outflow_l ) p(:,:,nxl-1) = p(:,:,nxl) IF ( inflow_r .OR. outflow_r ) p(:,:,nxr+1) = p(:,:,nxr) ENDIF IF ( bc_ns /= 'cyclic' ) THEN IF ( inflow_n .OR. outflow_n ) p(:,nyn+1,:) = p(:,nyn,:) IF ( inflow_s .OR. outflow_s ) p(:,nys-1,:) = p(:,nys,:) ENDIF ! !-- BLACK-part DO i = nxl1, nxr, 2 DO j = nys1, nyn, 2 DO k = nzb+1, nzt p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & f2(k) * p(k+1,j,i) + & f3(k) * p(k-1,j,i) - & d(k,j,i) - & f1(k) * p(k,j,i) ) ENDDO ENDDO ENDDO DO i = nxl2, nxr, 2 DO j = nys2, nyn, 2 DO k = nzb+1, nzt p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & f2(k) * p(k+1,j,i) + & f3(k) * p(k-1,j,i) - & d(k,j,i) - & f1(k) * p(k,j,i) ) ENDDO ENDDO ENDDO ! !-- Exchange of boundary values for p. CALL exchange_horiz( p ) ! !-- Boundary conditions top/bottom. !-- Bottom boundary IF ( ibc_p_b == 1 ) THEN ! !-- Neumann p(nzb,:,:) = p(nzb+1,:,:) ELSE ! !-- Dirichlet p(nzb,:,:) = 0.0 ENDIF ! !-- Top boundary IF ( ibc_p_t == 1 ) THEN ! !-- Neumann p(nzt+1,:,:) = p(nzt,:,:) ELSE ! !-- Dirichlet p(nzt+1,:,:) = 0.0 ENDIF ! !-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries IF ( bc_lr /= 'cyclic' ) THEN IF ( inflow_l .OR. outflow_l ) p(:,:,nxl-1) = p(:,:,nxl) IF ( inflow_r .OR. outflow_r ) p(:,:,nxr+1) = p(:,:,nxr) ENDIF IF ( bc_ns /= 'cyclic' ) THEN IF ( inflow_n .OR. outflow_n ) p(:,nyn+1,:) = p(:,nyn,:) IF ( inflow_s .OR. outflow_s ) p(:,nys-1,:) = p(:,nys,:) ENDIF ENDDO DEALLOCATE( f1, f2, f3 ) END SUBROUTINE sor