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