| 1 | SUBROUTINE pres |
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| 2 | |
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| 3 | !------------------------------------------------------------------------------! |
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| 4 | ! Current revisions: |
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| 5 | ! ----------------- |
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| 6 | ! |
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| 7 | ! Former revisions: |
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| 8 | ! ----------------- |
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| 9 | ! $Id: pres.f90 674 2011-01-18 16:33:31Z suehring $ |
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| 10 | ! |
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| 11 | ! 673 2011-01-18 16:19:48Z suehring |
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| 12 | ! Weighting coefficients added for right computation of the pressure during |
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| 13 | ! Runge-Kutta substeps. |
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| 14 | ! |
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| 15 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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| 16 | ! New allocation of tend when ws-scheme and multigrid is used. This is due to |
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| 17 | ! reasons of perforance of the data_exchange. The same is done with p after |
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| 18 | ! poismg is called. |
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| 19 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng when no |
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| 20 | ! multigrid is used. Calls of exchange_horiz are modified. |
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| 21 | ! bugfix: After pressure correction no volume flow correction in case of |
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| 22 | ! non-cyclic boundary conditions |
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| 23 | ! (has to be done only before pressure correction) |
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| 24 | ! Call of SOR routine is referenced with ddzu_pres. |
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| 25 | ! |
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| 26 | ! 622 2010-12-10 08:08:13Z raasch |
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| 27 | ! optional barriers included in order to speed up collective operations |
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| 28 | ! |
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| 29 | ! 151 2008-03-07 13:42:18Z raasch |
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| 30 | ! Bugfix in volume flow control for non-cyclic boundary conditions |
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| 31 | ! |
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| 32 | ! 106 2007-08-16 14:30:26Z raasch |
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| 33 | ! Volume flow conservation added for the remaining three outflow boundaries |
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| 34 | ! |
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| 35 | ! 85 2007-05-11 09:35:14Z raasch |
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| 36 | ! Division through dt_3d replaced by multiplication of the inverse. |
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| 37 | ! For performance optimisation, this is done in the loop calculating the |
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| 38 | ! divergence instead of using a seperate loop. |
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| 39 | ! |
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| 40 | ! 75 2007-03-22 09:54:05Z raasch |
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| 41 | ! Volume flow control for non-cyclic boundary conditions added (currently only |
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| 42 | ! for the north boundary!!), 2nd+3rd argument removed from exchange horiz, |
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| 43 | ! mean vertical velocity is removed in case of Neumann boundary conditions |
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| 44 | ! both at the bottom and the top |
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| 45 | ! |
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| 46 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 47 | ! |
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| 48 | ! Revision 1.25 2006/04/26 13:26:12 raasch |
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| 49 | ! OpenMP optimization (+localsum, threadsum) |
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| 50 | ! |
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| 51 | ! Revision 1.1 1997/07/24 11:24:44 raasch |
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| 52 | ! Initial revision |
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| 53 | ! |
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| 54 | ! |
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| 55 | ! Description: |
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| 56 | ! ------------ |
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| 57 | ! Compute the divergence of the provisional velocity field. Solve the Poisson |
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| 58 | ! equation for the perturbation pressure. Compute the final velocities using |
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| 59 | ! this perturbation pressure. Compute the remaining divergence. |
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| 60 | !------------------------------------------------------------------------------! |
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| 61 | |
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| 62 | USE arrays_3d |
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| 63 | USE constants |
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| 64 | USE control_parameters |
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| 65 | USE cpulog |
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| 66 | USE grid_variables |
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| 67 | USE indices |
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| 68 | USE interfaces |
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| 69 | USE pegrid |
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| 70 | USE poisfft_mod |
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| 71 | USE poisfft_hybrid_mod |
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| 72 | USE statistics |
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| 73 | |
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| 74 | IMPLICIT NONE |
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| 75 | |
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| 76 | INTEGER :: i, j, k, sr |
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| 77 | |
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| 78 | REAL :: ddt_3d, localsum, threadsum, d_weight_pres |
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| 79 | |
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| 80 | REAL, DIMENSION(1:2) :: volume_flow_l, volume_flow_offset |
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| 81 | REAL, DIMENSION(1:nzt) :: w_l, w_l_l |
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| 82 | |
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| 83 | |
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| 84 | CALL cpu_log( log_point(8), 'pres', 'start' ) |
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| 85 | |
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| 86 | |
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| 87 | ddt_3d = 1.0 / dt_3d |
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| 88 | d_weight_pres = 1. / weight_pres(intermediate_timestep_count) |
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| 89 | |
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| 90 | ! |
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| 91 | !-- Multigrid method expects 1 additional grid point for the arrays |
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| 92 | !-- d, tend and p |
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| 93 | IF ( psolver == 'multigrid' ) THEN |
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| 94 | |
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| 95 | DEALLOCATE( d ) |
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| 96 | ALLOCATE( d(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) ) |
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| 97 | |
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| 98 | IF ( ws_scheme_mom .OR. ws_scheme_sca ) THEN |
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| 99 | |
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| 100 | DEALLOCATE( tend ) |
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| 101 | ALLOCATE( tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) ) |
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| 102 | DEALLOCATE( p ) |
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| 103 | ALLOCATE( p(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) ) |
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| 104 | |
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| 105 | ENDIF |
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| 106 | |
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| 107 | ENDIF |
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| 108 | |
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| 109 | ! |
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| 110 | !-- Conserve the volume flow at the outflow in case of non-cyclic lateral |
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| 111 | !-- boundary conditions |
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| 112 | !-- WARNING: so far, this conservation does not work at the left/south |
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| 113 | !-- boundary if the topography at the inflow differs from that at the |
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| 114 | !-- outflow! For this case, volume_flow_area needs adjustment! |
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| 115 | ! |
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| 116 | !-- Left/right |
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| 117 | IF ( conserve_volume_flow .AND. ( outflow_l .OR. outflow_r ) ) THEN |
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| 118 | |
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| 119 | volume_flow(1) = 0.0 |
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| 120 | volume_flow_l(1) = 0.0 |
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| 121 | |
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| 122 | IF ( outflow_l ) THEN |
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| 123 | i = 0 |
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| 124 | ELSEIF ( outflow_r ) THEN |
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| 125 | i = nx+1 |
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| 126 | ENDIF |
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| 127 | |
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| 128 | DO j = nys, nyn |
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| 129 | ! |
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| 130 | !-- Sum up the volume flow through the south/north boundary |
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| 131 | DO k = nzb_2d(j,i) + 1, nzt |
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| 132 | volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k) |
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| 133 | ENDDO |
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| 134 | ENDDO |
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| 135 | |
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| 136 | #if defined( __parallel ) |
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| 137 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 138 | CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 1, MPI_REAL, & |
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| 139 | MPI_SUM, comm1dy, ierr ) |
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| 140 | #else |
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| 141 | volume_flow = volume_flow_l |
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| 142 | #endif |
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| 143 | volume_flow_offset(1) = ( volume_flow_initial(1) - volume_flow(1) ) & |
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| 144 | / volume_flow_area(1) |
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| 145 | |
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| 146 | DO j = nysg, nyng |
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| 147 | DO k = nzb_2d(j,i) + 1, nzt |
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| 148 | u(k,j,i) = u(k,j,i) + volume_flow_offset(1) |
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| 149 | ENDDO |
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| 150 | ENDDO |
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| 151 | |
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| 152 | ENDIF |
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| 153 | |
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| 154 | ! |
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| 155 | !-- South/north |
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| 156 | IF ( conserve_volume_flow .AND. ( outflow_n .OR. outflow_s ) ) THEN |
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| 157 | |
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| 158 | volume_flow(2) = 0.0 |
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| 159 | volume_flow_l(2) = 0.0 |
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| 160 | |
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| 161 | IF ( outflow_s ) THEN |
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| 162 | j = 0 |
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| 163 | ELSEIF ( outflow_n ) THEN |
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| 164 | j = ny+1 |
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| 165 | ENDIF |
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| 166 | |
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| 167 | DO i = nxl, nxr |
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| 168 | ! |
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| 169 | !-- Sum up the volume flow through the south/north boundary |
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| 170 | DO k = nzb_2d(j,i) + 1, nzt |
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| 171 | volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k) |
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| 172 | ENDDO |
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| 173 | ENDDO |
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| 174 | |
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| 175 | #if defined( __parallel ) |
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| 176 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 177 | CALL MPI_ALLREDUCE( volume_flow_l(2), volume_flow(2), 1, MPI_REAL, & |
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| 178 | MPI_SUM, comm1dx, ierr ) |
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| 179 | #else |
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| 180 | volume_flow = volume_flow_l |
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| 181 | #endif |
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| 182 | volume_flow_offset(2) = ( volume_flow_initial(2) - volume_flow(2) ) & |
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| 183 | / volume_flow_area(2) |
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| 184 | |
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| 185 | DO i = nxlg, nxrg |
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| 186 | DO k = nzb_v_inner(j,i) + 1, nzt |
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| 187 | v(k,j,i) = v(k,j,i) + volume_flow_offset(2) |
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| 188 | ENDDO |
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| 189 | ENDDO |
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| 190 | |
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| 191 | ENDIF |
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| 192 | |
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| 193 | ! |
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| 194 | !-- Remove mean vertical velocity |
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| 195 | IF ( ibc_p_b == 1 .AND. ibc_p_t == 1 ) THEN |
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| 196 | IF ( simulated_time > 0.0 ) THEN ! otherwise nzb_w_inner is not yet known |
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| 197 | w_l = 0.0; w_l_l = 0.0 |
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| 198 | DO i = nxl, nxr |
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| 199 | DO j = nys, nyn |
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| 200 | DO k = nzb_w_inner(j,i)+1, nzt |
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| 201 | w_l_l(k) = w_l_l(k) + w(k,j,i) |
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| 202 | ENDDO |
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| 203 | ENDDO |
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| 204 | ENDDO |
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| 205 | #if defined( __parallel ) |
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| 206 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 207 | CALL MPI_ALLREDUCE( w_l_l(1), w_l(1), nzt, MPI_REAL, MPI_SUM, comm2d, & |
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| 208 | ierr ) |
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| 209 | #else |
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| 210 | w_l = w_l_l |
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| 211 | #endif |
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| 212 | DO k = 1, nzt |
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| 213 | w_l(k) = w_l(k) / ngp_2dh_outer(k,0) |
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| 214 | ENDDO |
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| 215 | DO i = nxlg, nxrg |
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| 216 | DO j = nysg, nyng |
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| 217 | DO k = nzb_w_inner(j,i)+1, nzt |
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| 218 | w(k,j,i) = w(k,j,i) - w_l(k) |
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| 219 | ENDDO |
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| 220 | ENDDO |
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| 221 | ENDDO |
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| 222 | ENDIF |
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| 223 | ENDIF |
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| 224 | |
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| 225 | ! |
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| 226 | !-- Compute the divergence of the provisional velocity field. |
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| 227 | CALL cpu_log( log_point_s(1), 'divergence', 'start' ) |
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| 228 | |
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| 229 | IF ( psolver == 'multigrid' ) THEN |
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| 230 | !$OMP PARALLEL DO SCHEDULE( STATIC ) |
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| 231 | DO i = nxl-1, nxr+1 |
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| 232 | DO j = nys-1, nyn+1 |
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| 233 | DO k = nzb, nzt+1 |
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| 234 | d(k,j,i) = 0.0 |
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| 235 | ENDDO |
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| 236 | ENDDO |
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| 237 | ENDDO |
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| 238 | ELSE |
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| 239 | !$OMP PARALLEL DO SCHEDULE( STATIC ) |
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| 240 | DO i = nxl, nxra |
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| 241 | DO j = nys, nyna |
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| 242 | DO k = nzb+1, nzta |
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| 243 | d(k,j,i) = 0.0 |
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| 244 | ENDDO |
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| 245 | ENDDO |
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| 246 | ENDDO |
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| 247 | ENDIF |
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| 248 | |
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| 249 | localsum = 0.0 |
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| 250 | threadsum = 0.0 |
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| 251 | |
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| 252 | #if defined( __ibm ) |
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| 253 | !$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum) |
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| 254 | !$OMP DO SCHEDULE( STATIC ) |
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| 255 | DO i = nxl, nxr |
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| 256 | DO j = nys, nyn |
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| 257 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 258 | d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
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| 259 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
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| 260 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d & |
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| 261 | * d_weight_pres |
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| 262 | ENDDO |
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| 263 | ! |
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| 264 | !-- Additional pressure boundary condition at the bottom boundary for |
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| 265 | !-- inhomogeneous Prandtl layer heat fluxes and temperatures, respectively |
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| 266 | !-- dp/dz = -(dtau13/dx + dtau23/dy) + g*pt'/pt0. |
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| 267 | !-- This condition must not be applied at the start of a run, because then |
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| 268 | !-- flow_statistics has not yet been called and thus sums = 0. |
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| 269 | IF ( ibc_p_b == 2 .AND. sums(nzb+1,4) /= 0.0 ) THEN |
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| 270 | k = nzb_s_inner(j,i) |
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| 271 | d(k+1,j,i) = d(k+1,j,i) + ( & |
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| 272 | ( usws(j,i+1) - usws(j,i) ) * ddx & |
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| 273 | + ( vsws(j+1,i) - vsws(j,i) ) * ddy & |
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| 274 | - g * ( pt(k+1,j,i) - sums(k+1,4) ) / & |
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| 275 | sums(k+1,4) & |
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| 276 | ) * ddzw(k+1) * ddt_3d * d_weight_pres |
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| 277 | ENDIF |
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| 278 | |
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| 279 | ! |
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| 280 | !-- Compute possible PE-sum of divergences for flow_statistics |
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| 281 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 282 | threadsum = threadsum + ABS( d(k,j,i) ) |
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| 283 | ENDDO |
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| 284 | |
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| 285 | ENDDO |
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| 286 | ENDDO |
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| 287 | |
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| 288 | localsum = ( localsum + threadsum ) * dt_3d |
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| 289 | !$OMP END PARALLEL |
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| 290 | #else |
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| 291 | IF ( ibc_p_b == 2 .AND. sums(nzb+1,4) /= 0.0 ) THEN |
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| 292 | !$OMP PARALLEL PRIVATE (i,j,k) |
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| 293 | !$OMP DO SCHEDULE( STATIC ) |
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| 294 | DO i = nxl, nxr |
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| 295 | DO j = nys, nyn |
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| 296 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 297 | d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
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| 298 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
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| 299 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d & |
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| 300 | * d_weight_pres |
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| 301 | ENDDO |
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| 302 | ENDDO |
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| 303 | ! |
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| 304 | !-- Additional pressure boundary condition at the bottom boundary for |
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| 305 | !-- inhomogeneous Prandtl layer heat fluxes and temperatures, respectively |
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| 306 | !-- dp/dz = -(dtau13/dx + dtau23/dy) + g*pt'/pt0. |
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| 307 | !-- This condition must not be applied at the start of a run, because then |
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| 308 | !-- flow_statistics has not yet been called and thus sums = 0. |
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| 309 | DO j = nys, nyn |
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| 310 | k = nzb_s_inner(j,i) |
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| 311 | d(k+1,j,i) = d(k+1,j,i) + ( & |
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| 312 | ( usws(j,i+1) - usws(j,i) ) * ddx & |
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| 313 | + ( vsws(j+1,i) - vsws(j,i) ) * ddy & |
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| 314 | - g * ( pt(k+1,j,i) - sums(k+1,4) ) / & |
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| 315 | sums(k+1,4) & |
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| 316 | ) * ddzw(k+1) * ddt_3d & |
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| 317 | * d_weight_pres |
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| 318 | ENDDO |
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| 319 | ENDDO |
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| 320 | !$OMP END PARALLEL |
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| 321 | |
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| 322 | ELSE |
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| 323 | |
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| 324 | !$OMP PARALLEL PRIVATE (i,j,k) |
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| 325 | !$OMP DO SCHEDULE( STATIC ) |
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| 326 | DO i = nxl, nxr |
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| 327 | DO j = nys, nyn |
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| 328 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 329 | d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
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| 330 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
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| 331 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d & |
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| 332 | * d_weight_pres |
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| 333 | ENDDO |
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| 334 | ENDDO |
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| 335 | ENDDO |
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| 336 | !$OMP END PARALLEL |
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| 337 | |
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| 338 | ENDIF |
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| 339 | |
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| 340 | ! |
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| 341 | !-- Compute possible PE-sum of divergences for flow_statistics |
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| 342 | !$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum) |
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| 343 | !$OMP DO SCHEDULE( STATIC ) |
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| 344 | DO i = nxl, nxr |
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| 345 | DO j = nys, nyn |
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| 346 | DO k = nzb+1, nzt |
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| 347 | threadsum = threadsum + ABS( d(k,j,i) ) |
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| 348 | ENDDO |
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| 349 | ENDDO |
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| 350 | ENDDO |
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| 351 | localsum = ( localsum + threadsum ) * dt_3d & |
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| 352 | * weight_pres(intermediate_timestep_count) |
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| 353 | !$OMP END PARALLEL |
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| 354 | #endif |
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| 355 | |
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| 356 | ! |
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| 357 | !-- For completeness, set the divergence sum of all statistic regions to those |
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| 358 | !-- of the total domain |
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| 359 | sums_divold_l(0:statistic_regions) = localsum |
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| 360 | |
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| 361 | ! |
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| 362 | !-- Determine absolute minimum/maximum (only for test cases, therefore as |
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| 363 | !-- comment line) |
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| 364 | ! CALL global_min_max( nzb+1, nzt, nys, nyn, nxl, nxr, d, 'abs', divmax, & |
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| 365 | ! divmax_ijk ) |
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| 366 | |
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| 367 | CALL cpu_log( log_point_s(1), 'divergence', 'stop' ) |
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| 368 | |
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| 369 | ! |
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| 370 | !-- Compute the pressure perturbation solving the Poisson equation |
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| 371 | IF ( psolver(1:7) == 'poisfft' ) THEN |
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| 372 | |
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| 373 | ! |
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| 374 | !-- Enlarge the size of tend, used as a working array for the transpositions |
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| 375 | IF ( nxra > nxr .OR. nyna > nyn .OR. nza > nz ) THEN |
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| 376 | DEALLOCATE( tend ) |
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| 377 | ALLOCATE( tend(1:nza,nys:nyna,nxl:nxra) ) |
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| 378 | ENDIF |
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| 379 | |
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| 380 | ! |
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| 381 | !-- Solve Poisson equation via FFT and solution of tridiagonal matrices |
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| 382 | IF ( psolver == 'poisfft' ) THEN |
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| 383 | ! |
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| 384 | !-- Solver for 2d-decomposition |
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| 385 | CALL poisfft( d, tend ) |
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| 386 | ELSEIF ( psolver == 'poisfft_hybrid' ) THEN |
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| 387 | ! |
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| 388 | !-- Solver for 1d-decomposition (using MPI and OpenMP). |
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| 389 | !-- The old hybrid-solver is still included here, as long as there |
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| 390 | !-- are some optimization problems in poisfft |
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| 391 | CALL poisfft_hybrid( d ) |
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| 392 | ENDIF |
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| 393 | |
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| 394 | ! |
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| 395 | !-- Resize tend to its normal size |
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| 396 | IF ( nxra > nxr .OR. nyna > nyn .OR. nza > nz ) THEN |
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| 397 | DEALLOCATE( tend ) |
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| 398 | ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
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| 399 | ENDIF |
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| 400 | |
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| 401 | ! |
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| 402 | !-- Store computed perturbation pressure and set boundary condition in |
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| 403 | !-- z-direction |
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| 404 | !$OMP PARALLEL DO |
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| 405 | DO i = nxl, nxr |
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| 406 | DO j = nys, nyn |
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| 407 | DO k = nzb+1, nzt |
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| 408 | tend(k,j,i) = d(k,j,i) |
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| 409 | ENDDO |
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| 410 | ENDDO |
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| 411 | ENDDO |
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| 412 | |
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| 413 | ! |
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| 414 | !-- Bottom boundary: |
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| 415 | !-- This condition is only required for internal output. The pressure |
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| 416 | !-- gradient (dp(nzb+1)-dp(nzb))/dz is not used anywhere else. |
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| 417 | IF ( ibc_p_b == 1 ) THEN |
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| 418 | ! |
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| 419 | !-- Neumann (dp/dz = 0) |
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| 420 | !$OMP PARALLEL DO |
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| 421 | DO i = nxlg, nxrg |
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| 422 | DO j = nysg, nyng |
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| 423 | tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i) |
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| 424 | ENDDO |
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| 425 | ENDDO |
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| 426 | |
|---|
| 427 | ELSEIF ( ibc_p_b == 2 ) THEN |
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| 428 | ! |
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| 429 | !-- Neumann condition for inhomogeneous surfaces, |
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| 430 | !-- here currently still in the form of a zero gradient. Actually |
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| 431 | !-- dp/dz = -(dtau13/dx + dtau23/dy) + g*pt'/pt0 would have to be used for |
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| 432 | !-- the computation (cf. above: computation of divergences). |
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| 433 | !$OMP PARALLEL DO |
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| 434 | DO i = nxlg, nxrg |
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| 435 | DO j = nysg, nyng |
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| 436 | tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i) |
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| 437 | ENDDO |
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| 438 | ENDDO |
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| 439 | |
|---|
| 440 | ELSE |
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| 441 | ! |
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| 442 | !-- Dirichlet |
|---|
| 443 | !$OMP PARALLEL DO |
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| 444 | DO i = nxlg, nxrg |
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| 445 | DO j = nysg, nyng |
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| 446 | tend(nzb_s_inner(j,i),j,i) = 0.0 |
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| 447 | ENDDO |
|---|
| 448 | ENDDO |
|---|
| 449 | |
|---|
| 450 | ENDIF |
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| 451 | |
|---|
| 452 | ! |
|---|
| 453 | !-- Top boundary |
|---|
| 454 | IF ( ibc_p_t == 1 ) THEN |
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| 455 | ! |
|---|
| 456 | !-- Neumann |
|---|
| 457 | !$OMP PARALLEL DO |
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| 458 | DO i = nxlg, nxrg |
|---|
| 459 | DO j = nysg, nyng |
|---|
| 460 | tend(nzt+1,j,i) = tend(nzt,j,i) |
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| 461 | ENDDO |
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| 462 | ENDDO |
|---|
| 463 | |
|---|
| 464 | ELSE |
|---|
| 465 | ! |
|---|
| 466 | !-- Dirichlet |
|---|
| 467 | !$OMP PARALLEL DO |
|---|
| 468 | DO i = nxlg, nxrg |
|---|
| 469 | DO j = nysg, nyng |
|---|
| 470 | tend(nzt+1,j,i) = 0.0 |
|---|
| 471 | ENDDO |
|---|
| 472 | ENDDO |
|---|
| 473 | |
|---|
| 474 | ENDIF |
|---|
| 475 | |
|---|
| 476 | ! |
|---|
| 477 | !-- Exchange boundaries for p |
|---|
| 478 | CALL exchange_horiz( tend, nbgp ) |
|---|
| 479 | |
|---|
| 480 | ELSEIF ( psolver == 'sor' ) THEN |
|---|
| 481 | |
|---|
| 482 | ! |
|---|
| 483 | !-- Solve Poisson equation for perturbation pressure using SOR-Red/Black |
|---|
| 484 | !-- scheme |
|---|
| 485 | CALL sor( d, ddzu_pres, ddzw, p ) |
|---|
| 486 | tend = p |
|---|
| 487 | |
|---|
| 488 | ELSEIF ( psolver == 'multigrid' ) THEN |
|---|
| 489 | |
|---|
| 490 | ! |
|---|
| 491 | !-- Solve Poisson equation for perturbation pressure using Multigrid scheme, |
|---|
| 492 | !-- array tend is used to store the residuals, logical exchange_mg is used |
|---|
| 493 | !-- to discern data exchange in multigrid ( 1 ghostpoint ) and normal grid |
|---|
| 494 | !-- ( nbgp ghost points ). |
|---|
| 495 | exchange_mg = .TRUE. |
|---|
| 496 | CALL poismg( tend ) |
|---|
| 497 | exchange_mg = .FALSE. |
|---|
| 498 | ! |
|---|
| 499 | !-- Restore perturbation pressure on tend because this array is used |
|---|
| 500 | !-- further below to correct the velocity fields |
|---|
| 501 | |
|---|
| 502 | tend = p |
|---|
| 503 | IF( ws_scheme_mom .OR. ws_scheme_sca ) THEN |
|---|
| 504 | ! |
|---|
| 505 | !-- Allocate p to its normal size and restore pressure. |
|---|
| 506 | DEALLOCATE( p ) |
|---|
| 507 | ALLOCATE( p(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
|---|
| 508 | |
|---|
| 509 | ENDIF |
|---|
| 510 | |
|---|
| 511 | ENDIF |
|---|
| 512 | |
|---|
| 513 | ! |
|---|
| 514 | !-- Store perturbation pressure on array p, used in the momentum equations |
|---|
| 515 | IF ( psolver(1:7) == 'poisfft' ) THEN |
|---|
| 516 | |
|---|
| 517 | IF ( intermediate_timestep_count == 1 ) THEN |
|---|
| 518 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 519 | !$OMP DO |
|---|
| 520 | DO i = nxlg, nxrg |
|---|
| 521 | DO j = nysg, nyng |
|---|
| 522 | DO k = nzb, nzt+1 |
|---|
| 523 | p(k,j,i) = tend(k,j,i) & |
|---|
| 524 | * weight_substep(intermediate_timestep_count) |
|---|
| 525 | p(k,j,i) = tend(k,j,i) & |
|---|
| 526 | * weight_substep(intermediate_timestep_count) |
|---|
| 527 | ENDDO |
|---|
| 528 | ENDDO |
|---|
| 529 | ENDDO |
|---|
| 530 | !$OMP END PARALLEL |
|---|
| 531 | |
|---|
| 532 | ELSE |
|---|
| 533 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 534 | !$OMP DO |
|---|
| 535 | DO i = nxlg, nxrg |
|---|
| 536 | DO j = nysg, nyng |
|---|
| 537 | DO k = nzb, nzt+1 |
|---|
| 538 | p(k,j,i) = p(k,j,i) + tend(k,j,i) & |
|---|
| 539 | * weight_substep(intermediate_timestep_count) |
|---|
| 540 | p(k,j,i) = p(k,j,i) + tend(k,j,i) & |
|---|
| 541 | * weight_substep(intermediate_timestep_count) |
|---|
| 542 | ENDDO |
|---|
| 543 | ENDDO |
|---|
| 544 | ENDDO |
|---|
| 545 | !$OMP END PARALLEL |
|---|
| 546 | |
|---|
| 547 | ENDIF |
|---|
| 548 | |
|---|
| 549 | ENDIF |
|---|
| 550 | |
|---|
| 551 | ! |
|---|
| 552 | !-- Correction of the provisional velocities with the current perturbation |
|---|
| 553 | !-- pressure just computed |
|---|
| 554 | IF ( conserve_volume_flow .AND. & |
|---|
| 555 | ( bc_lr == 'cyclic' .OR. bc_ns == 'cyclic' ) ) THEN |
|---|
| 556 | volume_flow_l(1) = 0.0 |
|---|
| 557 | volume_flow_l(2) = 0.0 |
|---|
| 558 | ENDIF |
|---|
| 559 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 560 | !$OMP DO |
|---|
| 561 | DO i = nxl, nxr |
|---|
| 562 | DO j = nys, nyn |
|---|
| 563 | DO k = nzb_w_inner(j,i)+1, nzt |
|---|
| 564 | w(k,j,i) = w(k,j,i) - dt_3d * & |
|---|
| 565 | ( tend(k+1,j,i) - tend(k,j,i) ) * ddzu(k+1) & |
|---|
| 566 | * weight_pres(intermediate_timestep_count) |
|---|
| 567 | ENDDO |
|---|
| 568 | DO k = nzb_u_inner(j,i)+1, nzt |
|---|
| 569 | u(k,j,i) = u(k,j,i) - dt_3d * & |
|---|
| 570 | ( tend(k,j,i) - tend(k,j,i-1) ) * ddx & |
|---|
| 571 | * weight_pres(intermediate_timestep_count) |
|---|
| 572 | ENDDO |
|---|
| 573 | DO k = nzb_v_inner(j,i)+1, nzt |
|---|
| 574 | v(k,j,i) = v(k,j,i) - dt_3d * & |
|---|
| 575 | ( tend(k,j,i) - tend(k,j-1,i) ) * ddy & |
|---|
| 576 | * weight_pres(intermediate_timestep_count) |
|---|
| 577 | ENDDO |
|---|
| 578 | ! |
|---|
| 579 | !-- Sum up the volume flow through the right and north boundary |
|---|
| 580 | IF ( conserve_volume_flow .AND. bc_lr == 'cyclic' .AND. & |
|---|
| 581 | bc_ns == 'cyclic' .AND. i == nx ) THEN |
|---|
| 582 | !$OMP CRITICAL |
|---|
| 583 | DO k = nzb_2d(j,i) + 1, nzt |
|---|
| 584 | volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k) |
|---|
| 585 | ENDDO |
|---|
| 586 | !$OMP END CRITICAL |
|---|
| 587 | ENDIF |
|---|
| 588 | IF ( conserve_volume_flow .AND. bc_ns == 'cyclic' .AND. & |
|---|
| 589 | bc_lr == 'cyclic' .AND. j == ny ) THEN |
|---|
| 590 | !$OMP CRITICAL |
|---|
| 591 | DO k = nzb_2d(j,i) + 1, nzt |
|---|
| 592 | volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k) |
|---|
| 593 | ENDDO |
|---|
| 594 | !$OMP END CRITICAL |
|---|
| 595 | ENDIF |
|---|
| 596 | |
|---|
| 597 | ENDDO |
|---|
| 598 | ENDDO |
|---|
| 599 | !$OMP END PARALLEL |
|---|
| 600 | |
|---|
| 601 | IF ( psolver == 'multigrid' .OR. psolver == 'sor' ) THEN |
|---|
| 602 | IF ( intermediate_timestep_count == 1 .OR. simulated_time == 0) THEN |
|---|
| 603 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 604 | !$OMP DO |
|---|
| 605 | DO i = nxl, nxr |
|---|
| 606 | DO j = nys, nyn |
|---|
| 607 | DO k = nzb, nzt+1 |
|---|
| 608 | p_sub(k,j,i) = tend(k,j,i) & |
|---|
| 609 | * weight_substep(intermediate_timestep_count) |
|---|
| 610 | ENDDO |
|---|
| 611 | ENDDO |
|---|
| 612 | ENDDO |
|---|
| 613 | !$OMP END PARALLEL |
|---|
| 614 | ELSE |
|---|
| 615 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 616 | !$OMP DO |
|---|
| 617 | DO i = nxl, nxr |
|---|
| 618 | DO j = nys, nyn |
|---|
| 619 | DO k = nzb, nzt+1 |
|---|
| 620 | p_sub(k,j,i) = p_sub(k,j,i) + tend(k,j,i) & |
|---|
| 621 | * weight_substep(intermediate_timestep_count) |
|---|
| 622 | ENDDO |
|---|
| 623 | ENDDO |
|---|
| 624 | ENDDO |
|---|
| 625 | !$OMP END PARALLEL |
|---|
| 626 | ENDIF |
|---|
| 627 | |
|---|
| 628 | IF ( intermediate_timestep_count == intermediate_timestep_count_max ) & |
|---|
| 629 | THEN |
|---|
| 630 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 631 | !$OMP DO |
|---|
| 632 | DO i = nxl, nxr |
|---|
| 633 | DO j = nys, nyn |
|---|
| 634 | DO k = nzb, nzt+1 |
|---|
| 635 | p(k,j,i) = p_sub(k,j,i) |
|---|
| 636 | ENDDO |
|---|
| 637 | ENDDO |
|---|
| 638 | ENDDO |
|---|
| 639 | !$OMP END PARALLEL |
|---|
| 640 | ENDIF |
|---|
| 641 | ENDIF |
|---|
| 642 | |
|---|
| 643 | ! |
|---|
| 644 | !-- Resize tend to its normal size in case of multigrid and ws-scheme. |
|---|
| 645 | IF ( psolver == 'multigrid' .AND. ( ws_scheme_mom & |
|---|
| 646 | .OR. ws_scheme_sca ) ) THEN |
|---|
| 647 | DEALLOCATE( tend ) |
|---|
| 648 | ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
|---|
| 649 | ENDIF |
|---|
| 650 | |
|---|
| 651 | ! |
|---|
| 652 | !-- Conserve the volume flow |
|---|
| 653 | IF ( conserve_volume_flow .AND. & |
|---|
| 654 | ( bc_lr == 'cyclic' .AND. bc_ns == 'cyclic' ) ) THEN |
|---|
| 655 | |
|---|
| 656 | #if defined( __parallel ) |
|---|
| 657 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
|---|
| 658 | CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 2, MPI_REAL, & |
|---|
| 659 | MPI_SUM, comm2d, ierr ) |
|---|
| 660 | #else |
|---|
| 661 | volume_flow = volume_flow_l |
|---|
| 662 | #endif |
|---|
| 663 | |
|---|
| 664 | volume_flow_offset = ( volume_flow_initial - volume_flow ) / & |
|---|
| 665 | volume_flow_area |
|---|
| 666 | |
|---|
| 667 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 668 | !$OMP DO |
|---|
| 669 | DO i = nxl, nxr |
|---|
| 670 | DO j = nys, nyn |
|---|
| 671 | DO k = nzb_u_inner(j,i) + 1, nzt |
|---|
| 672 | u(k,j,i) = u(k,j,i) + volume_flow_offset(1) |
|---|
| 673 | v(k,j,i) = v(k,j,i) + volume_flow_offset(2) |
|---|
| 674 | ENDDO |
|---|
| 675 | ENDDO |
|---|
| 676 | ENDDO |
|---|
| 677 | |
|---|
| 678 | !$OMP END PARALLEL |
|---|
| 679 | |
|---|
| 680 | ENDIF |
|---|
| 681 | |
|---|
| 682 | ! |
|---|
| 683 | !-- Exchange of boundaries for the velocities |
|---|
| 684 | CALL exchange_horiz( u, nbgp ) |
|---|
| 685 | CALL exchange_horiz( v, nbgp ) |
|---|
| 686 | CALL exchange_horiz( w, nbgp ) |
|---|
| 687 | |
|---|
| 688 | ! |
|---|
| 689 | !-- Compute the divergence of the corrected velocity field, |
|---|
| 690 | !-- a possible PE-sum is computed in flow_statistics |
|---|
| 691 | CALL cpu_log( log_point_s(1), 'divergence', 'start' ) |
|---|
| 692 | sums_divnew_l = 0.0 |
|---|
| 693 | |
|---|
| 694 | ! |
|---|
| 695 | !-- d must be reset to zero because it can contain nonzero values below the |
|---|
| 696 | !-- topography |
|---|
| 697 | IF ( topography /= 'flat' ) d = 0.0 |
|---|
| 698 | |
|---|
| 699 | localsum = 0.0 |
|---|
| 700 | threadsum = 0.0 |
|---|
| 701 | |
|---|
| 702 | !$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum) |
|---|
| 703 | !$OMP DO SCHEDULE( STATIC ) |
|---|
| 704 | #if defined( __ibm ) |
|---|
| 705 | DO i = nxl, nxr |
|---|
| 706 | DO j = nys, nyn |
|---|
| 707 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 708 | d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
|---|
| 709 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
|---|
| 710 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 711 | ENDDO |
|---|
| 712 | DO k = nzb+1, nzt |
|---|
| 713 | threadsum = threadsum + ABS( d(k,j,i) ) |
|---|
| 714 | ENDDO |
|---|
| 715 | ENDDO |
|---|
| 716 | ENDDO |
|---|
| 717 | #else |
|---|
| 718 | DO i = nxl, nxr |
|---|
| 719 | DO j = nys, nyn |
|---|
| 720 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 721 | d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
|---|
| 722 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
|---|
| 723 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 724 | threadsum = threadsum + ABS( d(k,j,i) ) |
|---|
| 725 | ENDDO |
|---|
| 726 | ENDDO |
|---|
| 727 | ENDDO |
|---|
| 728 | #endif |
|---|
| 729 | |
|---|
| 730 | localsum = localsum + threadsum |
|---|
| 731 | !$OMP END PARALLEL |
|---|
| 732 | |
|---|
| 733 | ! |
|---|
| 734 | !-- For completeness, set the divergence sum of all statistic regions to those |
|---|
| 735 | !-- of the total domain |
|---|
| 736 | sums_divnew_l(0:statistic_regions) = localsum |
|---|
| 737 | |
|---|
| 738 | CALL cpu_log( log_point_s(1), 'divergence', 'stop' ) |
|---|
| 739 | |
|---|
| 740 | CALL cpu_log( log_point(8), 'pres', 'stop' ) |
|---|
| 741 | |
|---|
| 742 | |
|---|
| 743 | |
|---|
| 744 | END SUBROUTINE pres |
|---|
