| 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 | ! |
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| 8 | ! Former revisions: |
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| 9 | ! ----------------- |
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| 10 | ! $Id: pres.f90 695 2011-03-08 09:09:05Z suehring $ |
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| 11 | ! |
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| 12 | ! 693 2011-03-08 09:..:..Z raasch |
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| 13 | ! bugfix: weighting coefficient added to ibm branch |
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| 14 | ! |
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| 15 | ! 680 2011-02-04 23:16:06Z gryschka |
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| 16 | ! bugfix: collective_wait |
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| 17 | ! |
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| 18 | ! 675 2011-01-19 10:56:55Z suehring |
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| 19 | ! Removed bugfix while copying tend. |
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| 20 | ! |
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| 21 | ! 673 2011-01-18 16:19:48Z suehring |
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| 22 | ! Weighting coefficients added for right computation of the pressure during |
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| 23 | ! Runge-Kutta substeps. |
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| 24 | ! |
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| 25 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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| 26 | ! New allocation of tend when ws-scheme and multigrid is used. This is due to |
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| 27 | ! reasons of perforance of the data_exchange. The same is done with p after |
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| 28 | ! poismg is called. |
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| 29 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng when no |
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| 30 | ! multigrid is used. Calls of exchange_horiz are modified. |
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| 31 | ! bugfix: After pressure correction no volume flow correction in case of |
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| 32 | ! non-cyclic boundary conditions |
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| 33 | ! (has to be done only before pressure correction) |
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| 34 | ! Call of SOR routine is referenced with ddzu_pres. |
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| 35 | ! |
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| 36 | ! 622 2010-12-10 08:08:13Z raasch |
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| 37 | ! optional barriers included in order to speed up collective operations |
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| 38 | ! |
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| 39 | ! 151 2008-03-07 13:42:18Z raasch |
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| 40 | ! Bugfix in volume flow control for non-cyclic boundary conditions |
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| 41 | ! |
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| 42 | ! 106 2007-08-16 14:30:26Z raasch |
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| 43 | ! Volume flow conservation added for the remaining three outflow boundaries |
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| 44 | ! |
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| 45 | ! 85 2007-05-11 09:35:14Z raasch |
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| 46 | ! Division through dt_3d replaced by multiplication of the inverse. |
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| 47 | ! For performance optimisation, this is done in the loop calculating the |
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| 48 | ! divergence instead of using a seperate loop. |
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| 49 | ! |
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| 50 | ! 75 2007-03-22 09:54:05Z raasch |
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| 51 | ! Volume flow control for non-cyclic boundary conditions added (currently only |
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| 52 | ! for the north boundary!!), 2nd+3rd argument removed from exchange horiz, |
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| 53 | ! mean vertical velocity is removed in case of Neumann boundary conditions |
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| 54 | ! both at the bottom and the top |
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| 55 | ! |
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| 56 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 57 | ! |
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| 58 | ! Revision 1.25 2006/04/26 13:26:12 raasch |
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| 59 | ! OpenMP optimization (+localsum, threadsum) |
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| 60 | ! |
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| 61 | ! Revision 1.1 1997/07/24 11:24:44 raasch |
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| 62 | ! Initial revision |
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| 63 | ! |
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| 64 | ! |
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| 65 | ! Description: |
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| 66 | ! ------------ |
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| 67 | ! Compute the divergence of the provisional velocity field. Solve the Poisson |
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| 68 | ! equation for the perturbation pressure. Compute the final velocities using |
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| 69 | ! this perturbation pressure. Compute the remaining divergence. |
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| 70 | !------------------------------------------------------------------------------! |
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| 71 | |
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| 72 | USE arrays_3d |
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| 73 | USE constants |
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| 74 | USE control_parameters |
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| 75 | USE cpulog |
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| 76 | USE grid_variables |
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| 77 | USE indices |
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| 78 | USE interfaces |
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| 79 | USE pegrid |
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| 80 | USE poisfft_mod |
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| 81 | USE poisfft_hybrid_mod |
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| 82 | USE statistics |
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| 83 | |
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| 84 | IMPLICIT NONE |
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| 85 | |
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| 86 | INTEGER :: i, j, k, sr |
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| 87 | |
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| 88 | REAL :: ddt_3d, localsum, threadsum, d_weight_pres |
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| 89 | |
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| 90 | REAL, DIMENSION(1:2) :: volume_flow_l, volume_flow_offset |
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| 91 | REAL, DIMENSION(1:nzt) :: w_l, w_l_l |
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| 92 | |
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| 93 | |
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| 94 | CALL cpu_log( log_point(8), 'pres', 'start' ) |
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| 95 | |
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| 96 | |
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| 97 | ddt_3d = 1.0 / dt_3d |
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| 98 | d_weight_pres = 1. / weight_pres(intermediate_timestep_count) |
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| 99 | |
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| 100 | ! |
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| 101 | !-- Multigrid method expects 1 additional grid point for the arrays |
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| 102 | !-- d, tend and p |
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| 103 | IF ( psolver == 'multigrid' ) THEN |
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| 104 | |
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| 105 | DEALLOCATE( d ) |
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| 106 | ALLOCATE( d(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) ) |
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| 107 | |
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| 108 | IF ( ws_scheme_mom .OR. ws_scheme_sca ) THEN |
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| 109 | |
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| 110 | DEALLOCATE( tend ) |
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| 111 | ALLOCATE( tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) ) |
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| 112 | DEALLOCATE( p ) |
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| 113 | ALLOCATE( p(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) ) |
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| 114 | |
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| 115 | ENDIF |
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| 116 | |
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| 117 | ENDIF |
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| 118 | |
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| 119 | ! |
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| 120 | !-- Conserve the volume flow at the outflow in case of non-cyclic lateral |
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| 121 | !-- boundary conditions |
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| 122 | !-- WARNING: so far, this conservation does not work at the left/south |
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| 123 | !-- boundary if the topography at the inflow differs from that at the |
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| 124 | !-- outflow! For this case, volume_flow_area needs adjustment! |
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| 125 | ! |
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| 126 | !-- Left/right |
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| 127 | |
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| 128 | IF ( conserve_volume_flow .AND. ( outflow_l .OR. outflow_r ) ) THEN |
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| 129 | |
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| 130 | volume_flow(1) = 0.0 |
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| 131 | volume_flow_l(1) = 0.0 |
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| 132 | |
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| 133 | IF ( outflow_l ) THEN |
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| 134 | i = 0 |
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| 135 | ELSEIF ( outflow_r ) THEN |
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| 136 | i = nx+1 |
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| 137 | ENDIF |
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| 138 | |
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| 139 | DO j = nys, nyn |
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| 140 | ! |
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| 141 | !-- Sum up the volume flow through the south/north boundary |
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| 142 | DO k = nzb_2d(j,i) + 1, nzt |
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| 143 | volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k) |
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| 144 | ENDDO |
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| 145 | ENDDO |
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| 146 | |
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| 147 | #if defined( __parallel ) |
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| 148 | IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr ) |
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| 149 | CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 1, MPI_REAL, & |
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| 150 | MPI_SUM, comm1dy, ierr ) |
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| 151 | #else |
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| 152 | volume_flow = volume_flow_l |
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| 153 | #endif |
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| 154 | volume_flow_offset(1) = ( volume_flow_initial(1) - volume_flow(1) ) & |
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| 155 | / volume_flow_area(1) |
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| 156 | |
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| 157 | DO j = nysg, nyng |
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| 158 | DO k = nzb_2d(j,i) + 1, nzt |
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| 159 | u(k,j,i) = u(k,j,i) + volume_flow_offset(1) |
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| 160 | ENDDO |
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| 161 | ENDDO |
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| 162 | |
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| 163 | ENDIF |
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| 164 | |
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| 165 | ! |
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| 166 | !-- South/north |
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| 167 | IF ( conserve_volume_flow .AND. ( outflow_n .OR. outflow_s ) ) THEN |
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| 168 | |
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| 169 | volume_flow(2) = 0.0 |
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| 170 | volume_flow_l(2) = 0.0 |
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| 171 | |
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| 172 | IF ( outflow_s ) THEN |
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| 173 | j = 0 |
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| 174 | ELSEIF ( outflow_n ) THEN |
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| 175 | j = ny+1 |
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| 176 | ENDIF |
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| 177 | |
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| 178 | DO i = nxl, nxr |
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| 179 | ! |
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| 180 | !-- Sum up the volume flow through the south/north boundary |
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| 181 | DO k = nzb_2d(j,i) + 1, nzt |
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| 182 | volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k) |
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| 183 | ENDDO |
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| 184 | ENDDO |
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| 185 | |
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| 186 | #if defined( __parallel ) |
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| 187 | IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr ) |
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| 188 | CALL MPI_ALLREDUCE( volume_flow_l(2), volume_flow(2), 1, MPI_REAL, & |
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| 189 | MPI_SUM, comm1dx, ierr ) |
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| 190 | #else |
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| 191 | volume_flow = volume_flow_l |
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| 192 | #endif |
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| 193 | volume_flow_offset(2) = ( volume_flow_initial(2) - volume_flow(2) ) & |
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| 194 | / volume_flow_area(2) |
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| 195 | |
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| 196 | DO i = nxlg, nxrg |
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| 197 | DO k = nzb_v_inner(j,i) + 1, nzt |
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| 198 | v(k,j,i) = v(k,j,i) + volume_flow_offset(2) |
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| 199 | ENDDO |
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| 200 | ENDDO |
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| 201 | |
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| 202 | ENDIF |
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| 203 | |
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| 204 | ! |
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| 205 | !-- Remove mean vertical velocity |
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| 206 | IF ( ibc_p_b == 1 .AND. ibc_p_t == 1 ) THEN |
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| 207 | IF ( simulated_time > 0.0 ) THEN ! otherwise nzb_w_inner is not yet known |
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| 208 | w_l = 0.0; w_l_l = 0.0 |
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| 209 | DO i = nxl, nxr |
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| 210 | DO j = nys, nyn |
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| 211 | DO k = nzb_w_inner(j,i)+1, nzt |
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| 212 | w_l_l(k) = w_l_l(k) + w(k,j,i) |
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| 213 | ENDDO |
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| 214 | ENDDO |
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| 215 | ENDDO |
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| 216 | #if defined( __parallel ) |
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| 217 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 218 | CALL MPI_ALLREDUCE( w_l_l(1), w_l(1), nzt, MPI_REAL, MPI_SUM, comm2d, & |
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| 219 | ierr ) |
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| 220 | #else |
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| 221 | w_l = w_l_l |
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| 222 | #endif |
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| 223 | DO k = 1, nzt |
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| 224 | w_l(k) = w_l(k) / ngp_2dh_outer(k,0) |
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| 225 | ENDDO |
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| 226 | DO i = nxlg, nxrg |
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| 227 | DO j = nysg, nyng |
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| 228 | DO k = nzb_w_inner(j,i)+1, nzt |
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| 229 | w(k,j,i) = w(k,j,i) - w_l(k) |
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| 230 | ENDDO |
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| 231 | ENDDO |
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| 232 | ENDDO |
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| 233 | ENDIF |
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| 234 | ENDIF |
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| 235 | |
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| 236 | ! |
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| 237 | !-- Compute the divergence of the provisional velocity field. |
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| 238 | CALL cpu_log( log_point_s(1), 'divergence', 'start' ) |
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| 239 | |
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| 240 | IF ( psolver == 'multigrid' ) THEN |
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| 241 | !$OMP PARALLEL DO SCHEDULE( STATIC ) |
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| 242 | DO i = nxl-1, nxr+1 |
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| 243 | DO j = nys-1, nyn+1 |
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| 244 | DO k = nzb, nzt+1 |
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| 245 | d(k,j,i) = 0.0 |
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| 246 | ENDDO |
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| 247 | ENDDO |
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| 248 | ENDDO |
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| 249 | ELSE |
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| 250 | !$OMP PARALLEL DO SCHEDULE( STATIC ) |
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| 251 | DO i = nxl, nxra |
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| 252 | DO j = nys, nyna |
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| 253 | DO k = nzb+1, nzta |
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| 254 | d(k,j,i) = 0.0 |
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| 255 | ENDDO |
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| 256 | ENDDO |
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| 257 | ENDDO |
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| 258 | ENDIF |
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| 259 | |
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| 260 | localsum = 0.0 |
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| 261 | threadsum = 0.0 |
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| 262 | |
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| 263 | #if defined( __ibm ) |
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| 264 | !$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum) |
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| 265 | !$OMP DO SCHEDULE( STATIC ) |
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| 266 | DO i = nxl, nxr |
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| 267 | DO j = nys, nyn |
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| 268 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 269 | d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
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| 270 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
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| 271 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d & |
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| 272 | * d_weight_pres |
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| 273 | ENDDO |
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| 274 | ! |
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| 275 | !-- Additional pressure boundary condition at the bottom boundary for |
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| 276 | !-- inhomogeneous Prandtl layer heat fluxes and temperatures, respectively |
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| 277 | !-- dp/dz = -(dtau13/dx + dtau23/dy) + g*pt'/pt0. |
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| 278 | !-- This condition must not be applied at the start of a run, because then |
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| 279 | !-- flow_statistics has not yet been called and thus sums = 0. |
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| 280 | IF ( ibc_p_b == 2 .AND. sums(nzb+1,4) /= 0.0 ) THEN |
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| 281 | k = nzb_s_inner(j,i) |
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| 282 | d(k+1,j,i) = d(k+1,j,i) + ( & |
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| 283 | ( usws(j,i+1) - usws(j,i) ) * ddx & |
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| 284 | + ( vsws(j+1,i) - vsws(j,i) ) * ddy & |
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| 285 | - g * ( pt(k+1,j,i) - sums(k+1,4) ) / & |
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| 286 | sums(k+1,4) & |
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| 287 | ) * ddzw(k+1) * ddt_3d * d_weight_pres |
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| 288 | ENDIF |
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| 289 | |
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| 290 | ! |
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| 291 | !-- Compute possible PE-sum of divergences for flow_statistics |
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| 292 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 293 | threadsum = threadsum + ABS( d(k,j,i) ) |
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| 294 | ENDDO |
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| 295 | |
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| 296 | ENDDO |
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| 297 | ENDDO |
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| 298 | |
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| 299 | localsum = ( localsum + threadsum ) * dt_3d * & |
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| 300 | weight_pres(intermediate_timestep_count) |
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| 301 | |
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| 302 | !$OMP END PARALLEL |
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| 303 | #else |
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| 304 | IF ( ibc_p_b == 2 .AND. sums(nzb+1,4) /= 0.0 ) THEN |
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| 305 | !$OMP PARALLEL PRIVATE (i,j,k) |
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| 306 | !$OMP DO SCHEDULE( STATIC ) |
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| 307 | DO i = nxl, nxr |
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| 308 | DO j = nys, nyn |
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| 309 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 310 | d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
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| 311 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
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| 312 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d & |
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| 313 | * d_weight_pres |
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| 314 | ENDDO |
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| 315 | ENDDO |
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| 316 | ! |
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| 317 | !-- Additional pressure boundary condition at the bottom boundary for |
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| 318 | !-- inhomogeneous Prandtl layer heat fluxes and temperatures, respectively |
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| 319 | !-- dp/dz = -(dtau13/dx + dtau23/dy) + g*pt'/pt0. |
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| 320 | !-- This condition must not be applied at the start of a run, because then |
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| 321 | !-- flow_statistics has not yet been called and thus sums = 0. |
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| 322 | DO j = nys, nyn |
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| 323 | k = nzb_s_inner(j,i) |
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| 324 | d(k+1,j,i) = d(k+1,j,i) + ( & |
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| 325 | ( usws(j,i+1) - usws(j,i) ) * ddx & |
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| 326 | + ( vsws(j+1,i) - vsws(j,i) ) * ddy & |
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| 327 | - g * ( pt(k+1,j,i) - sums(k+1,4) ) / & |
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| 328 | sums(k+1,4) & |
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| 329 | ) * ddzw(k+1) * ddt_3d & |
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| 330 | * d_weight_pres |
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| 331 | ENDDO |
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| 332 | ENDDO |
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| 333 | !$OMP END PARALLEL |
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| 334 | |
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| 335 | ELSE |
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| 336 | |
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| 337 | !$OMP PARALLEL PRIVATE (i,j,k) |
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| 338 | !$OMP DO SCHEDULE( STATIC ) |
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| 339 | DO i = nxl, nxr |
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| 340 | DO j = nys, nyn |
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| 341 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 342 | d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
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| 343 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
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| 344 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d & |
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| 345 | * d_weight_pres |
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| 346 | ENDDO |
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| 347 | ENDDO |
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| 348 | ENDDO |
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| 349 | !$OMP END PARALLEL |
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| 350 | |
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| 351 | ENDIF |
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| 352 | |
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| 353 | ! |
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| 354 | !-- Compute possible PE-sum of divergences for flow_statistics |
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| 355 | !$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum) |
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| 356 | !$OMP DO SCHEDULE( STATIC ) |
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| 357 | DO i = nxl, nxr |
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| 358 | DO j = nys, nyn |
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| 359 | DO k = nzb+1, nzt |
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| 360 | threadsum = threadsum + ABS( d(k,j,i) ) |
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| 361 | ENDDO |
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| 362 | ENDDO |
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| 363 | ENDDO |
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| 364 | localsum = ( localsum + threadsum ) * dt_3d & |
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| 365 | * weight_pres(intermediate_timestep_count) |
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| 366 | !$OMP END PARALLEL |
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| 367 | #endif |
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| 368 | |
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| 369 | ! |
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| 370 | !-- For completeness, set the divergence sum of all statistic regions to those |
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| 371 | !-- of the total domain |
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| 372 | sums_divold_l(0:statistic_regions) = localsum |
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| 373 | |
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| 374 | ! |
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| 375 | !-- Determine absolute minimum/maximum (only for test cases, therefore as |
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| 376 | !-- comment line) |
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| 377 | ! CALL global_min_max( nzb+1, nzt, nys, nyn, nxl, nxr, d, 'abs', divmax, & |
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| 378 | ! divmax_ijk ) |
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| 379 | |
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| 380 | CALL cpu_log( log_point_s(1), 'divergence', 'stop' ) |
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| 381 | |
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| 382 | ! |
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| 383 | !-- Compute the pressure perturbation solving the Poisson equation |
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| 384 | IF ( psolver(1:7) == 'poisfft' ) THEN |
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| 385 | |
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| 386 | ! |
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| 387 | !-- Enlarge the size of tend, used as a working array for the transpositions |
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| 388 | IF ( nxra > nxr .OR. nyna > nyn .OR. nza > nz ) THEN |
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| 389 | DEALLOCATE( tend ) |
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| 390 | ALLOCATE( tend(1:nza,nys:nyna,nxl:nxra) ) |
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| 391 | ENDIF |
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| 392 | |
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| 393 | ! |
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| 394 | !-- Solve Poisson equation via FFT and solution of tridiagonal matrices |
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| 395 | IF ( psolver == 'poisfft' ) THEN |
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| 396 | ! |
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| 397 | !-- Solver for 2d-decomposition |
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| 398 | CALL poisfft( d, tend ) |
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| 399 | ELSEIF ( psolver == 'poisfft_hybrid' ) THEN |
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| 400 | ! |
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| 401 | !-- Solver for 1d-decomposition (using MPI and OpenMP). |
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| 402 | !-- The old hybrid-solver is still included here, as long as there |
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| 403 | !-- are some optimization problems in poisfft |
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| 404 | CALL poisfft_hybrid( d ) |
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| 405 | ENDIF |
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| 406 | |
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| 407 | ! |
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| 408 | !-- Resize tend to its normal size |
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| 409 | IF ( nxra > nxr .OR. nyna > nyn .OR. nza > nz ) THEN |
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| 410 | DEALLOCATE( tend ) |
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| 411 | ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
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| 412 | ENDIF |
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| 413 | |
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| 414 | ! |
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| 415 | !-- Store computed perturbation pressure and set boundary condition in |
|---|
| 416 | !-- z-direction |
|---|
| 417 | !$OMP PARALLEL DO |
|---|
| 418 | DO i = nxl, nxr |
|---|
| 419 | DO j = nys, nyn |
|---|
| 420 | DO k = nzb+1, nzt |
|---|
| 421 | tend(k,j,i) = d(k,j,i) |
|---|
| 422 | ENDDO |
|---|
| 423 | ENDDO |
|---|
| 424 | ENDDO |
|---|
| 425 | |
|---|
| 426 | ! |
|---|
| 427 | !-- Bottom boundary: |
|---|
| 428 | !-- This condition is only required for internal output. The pressure |
|---|
| 429 | !-- gradient (dp(nzb+1)-dp(nzb))/dz is not used anywhere else. |
|---|
| 430 | IF ( ibc_p_b == 1 ) THEN |
|---|
| 431 | ! |
|---|
| 432 | !-- Neumann (dp/dz = 0) |
|---|
| 433 | !$OMP PARALLEL DO |
|---|
| 434 | DO i = nxlg, nxrg |
|---|
| 435 | DO j = nysg, nyng |
|---|
| 436 | tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i) |
|---|
| 437 | ENDDO |
|---|
| 438 | ENDDO |
|---|
| 439 | |
|---|
| 440 | ELSEIF ( ibc_p_b == 2 ) THEN |
|---|
| 441 | ! |
|---|
| 442 | !-- Neumann condition for inhomogeneous surfaces, |
|---|
| 443 | !-- here currently still in the form of a zero gradient. Actually |
|---|
| 444 | !-- dp/dz = -(dtau13/dx + dtau23/dy) + g*pt'/pt0 would have to be used for |
|---|
| 445 | !-- the computation (cf. above: computation of divergences). |
|---|
| 446 | !$OMP PARALLEL DO |
|---|
| 447 | DO i = nxlg, nxrg |
|---|
| 448 | DO j = nysg, nyng |
|---|
| 449 | tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i) |
|---|
| 450 | ENDDO |
|---|
| 451 | ENDDO |
|---|
| 452 | |
|---|
| 453 | ELSE |
|---|
| 454 | ! |
|---|
| 455 | !-- Dirichlet |
|---|
| 456 | !$OMP PARALLEL DO |
|---|
| 457 | DO i = nxlg, nxrg |
|---|
| 458 | DO j = nysg, nyng |
|---|
| 459 | tend(nzb_s_inner(j,i),j,i) = 0.0 |
|---|
| 460 | ENDDO |
|---|
| 461 | ENDDO |
|---|
| 462 | |
|---|
| 463 | ENDIF |
|---|
| 464 | |
|---|
| 465 | ! |
|---|
| 466 | !-- Top boundary |
|---|
| 467 | IF ( ibc_p_t == 1 ) THEN |
|---|
| 468 | ! |
|---|
| 469 | !-- Neumann |
|---|
| 470 | !$OMP PARALLEL DO |
|---|
| 471 | DO i = nxlg, nxrg |
|---|
| 472 | DO j = nysg, nyng |
|---|
| 473 | tend(nzt+1,j,i) = tend(nzt,j,i) |
|---|
| 474 | ENDDO |
|---|
| 475 | ENDDO |
|---|
| 476 | |
|---|
| 477 | ELSE |
|---|
| 478 | ! |
|---|
| 479 | !-- Dirichlet |
|---|
| 480 | !$OMP PARALLEL DO |
|---|
| 481 | DO i = nxlg, nxrg |
|---|
| 482 | DO j = nysg, nyng |
|---|
| 483 | tend(nzt+1,j,i) = 0.0 |
|---|
| 484 | ENDDO |
|---|
| 485 | ENDDO |
|---|
| 486 | |
|---|
| 487 | ENDIF |
|---|
| 488 | |
|---|
| 489 | ! |
|---|
| 490 | !-- Exchange boundaries for p |
|---|
| 491 | CALL exchange_horiz( tend, nbgp ) |
|---|
| 492 | |
|---|
| 493 | ELSEIF ( psolver == 'sor' ) THEN |
|---|
| 494 | |
|---|
| 495 | ! |
|---|
| 496 | !-- Solve Poisson equation for perturbation pressure using SOR-Red/Black |
|---|
| 497 | !-- scheme |
|---|
| 498 | CALL sor( d, ddzu_pres, ddzw, p ) |
|---|
| 499 | tend = p |
|---|
| 500 | |
|---|
| 501 | ELSEIF ( psolver == 'multigrid' ) THEN |
|---|
| 502 | |
|---|
| 503 | ! |
|---|
| 504 | !-- Solve Poisson equation for perturbation pressure using Multigrid scheme, |
|---|
| 505 | !-- array tend is used to store the residuals, logical exchange_mg is used |
|---|
| 506 | !-- to discern data exchange in multigrid ( 1 ghostpoint ) and normal grid |
|---|
| 507 | !-- ( nbgp ghost points ). |
|---|
| 508 | exchange_mg = .TRUE. |
|---|
| 509 | CALL poismg( tend ) |
|---|
| 510 | exchange_mg = .FALSE. |
|---|
| 511 | ! |
|---|
| 512 | !-- Restore perturbation pressure on tend because this array is used |
|---|
| 513 | !-- further below to correct the velocity fields |
|---|
| 514 | |
|---|
| 515 | tend = p |
|---|
| 516 | IF( ws_scheme_mom .OR. ws_scheme_sca ) THEN |
|---|
| 517 | ! |
|---|
| 518 | !-- Allocate p to its normal size and restore pressure. |
|---|
| 519 | DEALLOCATE( p ) |
|---|
| 520 | ALLOCATE( p(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
|---|
| 521 | |
|---|
| 522 | ENDIF |
|---|
| 523 | |
|---|
| 524 | ENDIF |
|---|
| 525 | |
|---|
| 526 | ! |
|---|
| 527 | !-- Store perturbation pressure on array p, used in the momentum equations |
|---|
| 528 | IF ( psolver(1:7) == 'poisfft' ) THEN |
|---|
| 529 | |
|---|
| 530 | IF ( intermediate_timestep_count == 1 ) THEN |
|---|
| 531 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 532 | !$OMP DO |
|---|
| 533 | DO i = nxlg, nxrg |
|---|
| 534 | DO j = nysg, nyng |
|---|
| 535 | DO k = nzb, nzt+1 |
|---|
| 536 | p(k,j,i) = tend(k,j,i) & |
|---|
| 537 | * weight_substep(intermediate_timestep_count) |
|---|
| 538 | ENDDO |
|---|
| 539 | ENDDO |
|---|
| 540 | ENDDO |
|---|
| 541 | !$OMP END PARALLEL |
|---|
| 542 | |
|---|
| 543 | ELSE |
|---|
| 544 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 545 | !$OMP DO |
|---|
| 546 | DO i = nxlg, nxrg |
|---|
| 547 | DO j = nysg, nyng |
|---|
| 548 | DO k = nzb, nzt+1 |
|---|
| 549 | p(k,j,i) = p(k,j,i) + tend(k,j,i) & |
|---|
| 550 | * weight_substep(intermediate_timestep_count) |
|---|
| 551 | ENDDO |
|---|
| 552 | ENDDO |
|---|
| 553 | ENDDO |
|---|
| 554 | !$OMP END PARALLEL |
|---|
| 555 | |
|---|
| 556 | ENDIF |
|---|
| 557 | |
|---|
| 558 | ENDIF |
|---|
| 559 | |
|---|
| 560 | ! |
|---|
| 561 | !-- Correction of the provisional velocities with the current perturbation |
|---|
| 562 | !-- pressure just computed |
|---|
| 563 | IF ( conserve_volume_flow .AND. & |
|---|
| 564 | ( bc_lr == 'cyclic' .OR. bc_ns == 'cyclic' ) ) THEN |
|---|
| 565 | volume_flow_l(1) = 0.0 |
|---|
| 566 | volume_flow_l(2) = 0.0 |
|---|
| 567 | ENDIF |
|---|
| 568 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 569 | !$OMP DO |
|---|
| 570 | DO i = nxl, nxr |
|---|
| 571 | DO j = nys, nyn |
|---|
| 572 | DO k = nzb_w_inner(j,i)+1, nzt |
|---|
| 573 | w(k,j,i) = w(k,j,i) - dt_3d * & |
|---|
| 574 | ( tend(k+1,j,i) - tend(k,j,i) ) * ddzu(k+1) & |
|---|
| 575 | * weight_pres(intermediate_timestep_count) |
|---|
| 576 | ENDDO |
|---|
| 577 | DO k = nzb_u_inner(j,i)+1, nzt |
|---|
| 578 | u(k,j,i) = u(k,j,i) - dt_3d * & |
|---|
| 579 | ( tend(k,j,i) - tend(k,j,i-1) ) * ddx & |
|---|
| 580 | * weight_pres(intermediate_timestep_count) |
|---|
| 581 | ENDDO |
|---|
| 582 | DO k = nzb_v_inner(j,i)+1, nzt |
|---|
| 583 | v(k,j,i) = v(k,j,i) - dt_3d * & |
|---|
| 584 | ( tend(k,j,i) - tend(k,j-1,i) ) * ddy & |
|---|
| 585 | * weight_pres(intermediate_timestep_count) |
|---|
| 586 | ENDDO |
|---|
| 587 | ! |
|---|
| 588 | !-- Sum up the volume flow through the right and north boundary |
|---|
| 589 | IF ( conserve_volume_flow .AND. bc_lr == 'cyclic' .AND. & |
|---|
| 590 | bc_ns == 'cyclic' .AND. i == nx ) THEN |
|---|
| 591 | !$OMP CRITICAL |
|---|
| 592 | DO k = nzb_2d(j,i) + 1, nzt |
|---|
| 593 | volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k) |
|---|
| 594 | ENDDO |
|---|
| 595 | !$OMP END CRITICAL |
|---|
| 596 | ENDIF |
|---|
| 597 | IF ( conserve_volume_flow .AND. bc_ns == 'cyclic' .AND. & |
|---|
| 598 | bc_lr == 'cyclic' .AND. j == ny ) THEN |
|---|
| 599 | !$OMP CRITICAL |
|---|
| 600 | DO k = nzb_2d(j,i) + 1, nzt |
|---|
| 601 | volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k) |
|---|
| 602 | ENDDO |
|---|
| 603 | !$OMP END CRITICAL |
|---|
| 604 | ENDIF |
|---|
| 605 | |
|---|
| 606 | ENDDO |
|---|
| 607 | ENDDO |
|---|
| 608 | !$OMP END PARALLEL |
|---|
| 609 | |
|---|
| 610 | IF ( psolver == 'multigrid' .OR. psolver == 'sor' ) THEN |
|---|
| 611 | IF ( intermediate_timestep_count == 1 .OR. simulated_time == 0) THEN |
|---|
| 612 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 613 | !$OMP DO |
|---|
| 614 | DO i = nxl, nxr |
|---|
| 615 | DO j = nys, nyn |
|---|
| 616 | DO k = nzb, nzt+1 |
|---|
| 617 | p_sub(k,j,i) = tend(k,j,i) & |
|---|
| 618 | * weight_substep(intermediate_timestep_count) |
|---|
| 619 | ENDDO |
|---|
| 620 | ENDDO |
|---|
| 621 | ENDDO |
|---|
| 622 | !$OMP END PARALLEL |
|---|
| 623 | ELSE |
|---|
| 624 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 625 | !$OMP DO |
|---|
| 626 | DO i = nxl, nxr |
|---|
| 627 | DO j = nys, nyn |
|---|
| 628 | DO k = nzb, nzt+1 |
|---|
| 629 | p_sub(k,j,i) = p_sub(k,j,i) + tend(k,j,i) & |
|---|
| 630 | * weight_substep(intermediate_timestep_count) |
|---|
| 631 | ENDDO |
|---|
| 632 | ENDDO |
|---|
| 633 | ENDDO |
|---|
| 634 | !$OMP END PARALLEL |
|---|
| 635 | ENDIF |
|---|
| 636 | |
|---|
| 637 | IF ( intermediate_timestep_count == intermediate_timestep_count_max ) & |
|---|
| 638 | THEN |
|---|
| 639 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 640 | !$OMP DO |
|---|
| 641 | DO i = nxl, nxr |
|---|
| 642 | DO j = nys, nyn |
|---|
| 643 | DO k = nzb, nzt+1 |
|---|
| 644 | p(k,j,i) = p_sub(k,j,i) |
|---|
| 645 | ENDDO |
|---|
| 646 | ENDDO |
|---|
| 647 | ENDDO |
|---|
| 648 | !$OMP END PARALLEL |
|---|
| 649 | ENDIF |
|---|
| 650 | ENDIF |
|---|
| 651 | |
|---|
| 652 | ! |
|---|
| 653 | !-- Resize tend to its normal size in case of multigrid and ws-scheme. |
|---|
| 654 | IF ( psolver == 'multigrid' .AND. ( ws_scheme_mom & |
|---|
| 655 | .OR. ws_scheme_sca ) ) THEN |
|---|
| 656 | DEALLOCATE( tend ) |
|---|
| 657 | ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
|---|
| 658 | ENDIF |
|---|
| 659 | |
|---|
| 660 | |
|---|
| 661 | ! |
|---|
| 662 | !-- Conserve the volume flow |
|---|
| 663 | IF ( conserve_volume_flow .AND. & |
|---|
| 664 | ( bc_lr == 'cyclic' .AND. bc_ns == 'cyclic' ) ) THEN |
|---|
| 665 | |
|---|
| 666 | #if defined( __parallel ) |
|---|
| 667 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
|---|
| 668 | CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 2, MPI_REAL, & |
|---|
| 669 | MPI_SUM, comm2d, ierr ) |
|---|
| 670 | #else |
|---|
| 671 | volume_flow = volume_flow_l |
|---|
| 672 | #endif |
|---|
| 673 | |
|---|
| 674 | volume_flow_offset = ( volume_flow_initial - volume_flow ) / & |
|---|
| 675 | volume_flow_area |
|---|
| 676 | |
|---|
| 677 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 678 | !$OMP DO |
|---|
| 679 | DO i = nxl, nxr |
|---|
| 680 | DO j = nys, nyn |
|---|
| 681 | DO k = nzb_u_inner(j,i) + 1, nzt |
|---|
| 682 | u(k,j,i) = u(k,j,i) + volume_flow_offset(1) |
|---|
| 683 | v(k,j,i) = v(k,j,i) + volume_flow_offset(2) |
|---|
| 684 | ENDDO |
|---|
| 685 | ENDDO |
|---|
| 686 | ENDDO |
|---|
| 687 | |
|---|
| 688 | !$OMP END PARALLEL |
|---|
| 689 | |
|---|
| 690 | ENDIF |
|---|
| 691 | |
|---|
| 692 | ! |
|---|
| 693 | !-- Exchange of boundaries for the velocities |
|---|
| 694 | CALL exchange_horiz( u, nbgp ) |
|---|
| 695 | CALL exchange_horiz( v, nbgp ) |
|---|
| 696 | CALL exchange_horiz( w, nbgp ) |
|---|
| 697 | |
|---|
| 698 | ! |
|---|
| 699 | !-- Compute the divergence of the corrected velocity field, |
|---|
| 700 | !-- a possible PE-sum is computed in flow_statistics |
|---|
| 701 | CALL cpu_log( log_point_s(1), 'divergence', 'start' ) |
|---|
| 702 | sums_divnew_l = 0.0 |
|---|
| 703 | |
|---|
| 704 | ! |
|---|
| 705 | !-- d must be reset to zero because it can contain nonzero values below the |
|---|
| 706 | !-- topography |
|---|
| 707 | IF ( topography /= 'flat' ) d = 0.0 |
|---|
| 708 | |
|---|
| 709 | localsum = 0.0 |
|---|
| 710 | threadsum = 0.0 |
|---|
| 711 | |
|---|
| 712 | !$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum) |
|---|
| 713 | !$OMP DO SCHEDULE( STATIC ) |
|---|
| 714 | #if defined( __ibm ) |
|---|
| 715 | DO i = nxl, nxr |
|---|
| 716 | DO j = nys, nyn |
|---|
| 717 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 718 | d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
|---|
| 719 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
|---|
| 720 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 721 | ENDDO |
|---|
| 722 | DO k = nzb+1, nzt |
|---|
| 723 | threadsum = threadsum + ABS( d(k,j,i) ) |
|---|
| 724 | ENDDO |
|---|
| 725 | ENDDO |
|---|
| 726 | ENDDO |
|---|
| 727 | #else |
|---|
| 728 | DO i = nxl, nxr |
|---|
| 729 | DO j = nys, nyn |
|---|
| 730 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 731 | d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
|---|
| 732 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
|---|
| 733 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 734 | threadsum = threadsum + ABS( d(k,j,i) ) |
|---|
| 735 | ENDDO |
|---|
| 736 | ENDDO |
|---|
| 737 | ENDDO |
|---|
| 738 | #endif |
|---|
| 739 | |
|---|
| 740 | localsum = localsum + threadsum |
|---|
| 741 | !$OMP END PARALLEL |
|---|
| 742 | |
|---|
| 743 | ! |
|---|
| 744 | !-- For completeness, set the divergence sum of all statistic regions to those |
|---|
| 745 | !-- of the total domain |
|---|
| 746 | sums_divnew_l(0:statistic_regions) = localsum |
|---|
| 747 | |
|---|
| 748 | CALL cpu_log( log_point_s(1), 'divergence', 'stop' ) |
|---|
| 749 | |
|---|
| 750 | CALL cpu_log( log_point(8), 'pres', 'stop' ) |
|---|
| 751 | |
|---|
| 752 | |
|---|
| 753 | |
|---|
| 754 | END SUBROUTINE pres |
|---|
