[1] | 1 | SUBROUTINE poismg( r ) |
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| 2 | |
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| 3 | !------------------------------------------------------------------------------! |
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| 4 | ! Attention: Loop unrolling and cache optimization in SOR-Red/Black method |
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[707] | 5 | ! still does not give the expected speedup! Further work required. |
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[1] | 6 | ! |
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[257] | 7 | ! Current revisions: |
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[1] | 8 | ! ----------------- |
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[778] | 9 | ! Allocation of p3 changes when multigrid is used and the collected field on PE0 |
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| 10 | ! has more grid points than the subdomain of an PE. |
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[708] | 11 | ! |
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| 12 | ! Former revisions: |
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| 13 | ! ----------------- |
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| 14 | ! $Id: poismg.f90 778 2011-11-07 14:18:25Z fricke $ |
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| 15 | ! |
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| 16 | ! 707 2011-03-29 11:39:40Z raasch |
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[707] | 17 | ! p_loc is used instead of p in the main routine (poismg). |
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| 18 | ! On coarse grid levels, gathered data are identically processed on all PEs |
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| 19 | ! (before, on PE0 only), so that the subsequent scattering of data is not |
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| 20 | ! neccessary any more. |
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| 21 | ! bc_lr/ns replaced by bc_lr/ns_cyc/dirrad/raddir |
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| 22 | ! Bugfix: bottom (nzb) and top (nzt+1) boundary conditions set in routines |
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| 23 | ! resid and restrict. They were missed before which may have led to |
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| 24 | ! unpredictable results. |
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[1] | 25 | ! |
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[668] | 26 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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| 27 | ! Calls of exchange_horiz are modified. |
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| 28 | ! |
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[623] | 29 | ! 622 2010-12-10 08:08:13Z raasch |
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| 30 | ! optional barriers included in order to speed up collective operations |
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| 31 | ! |
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[392] | 32 | ! 257 2009-03-11 15:17:42Z heinze |
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| 33 | ! Output of messages replaced by message handling routine. |
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| 34 | ! |
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[198] | 35 | ! 181 2008-07-30 07:07:47Z raasch |
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| 36 | ! Bugfix: grid_level+1 has to be used in restrict for flags-array |
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| 37 | ! |
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[139] | 38 | ! 114 2007-10-10 00:03:15Z raasch |
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| 39 | ! Boundary conditions at walls are implicitly set using flag arrays. Only |
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| 40 | ! Neumann BC is allowed. Upper walls are still not realized. |
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| 41 | ! Bottom and top BCs for array f_mg in restrict removed because boundary |
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| 42 | ! values are not needed (right hand side of SOR iteration). |
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| 43 | ! |
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[77] | 44 | ! 75 2007-03-22 09:54:05Z raasch |
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| 45 | ! 2nd+3rd argument removed from exchange horiz |
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| 46 | ! |
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[3] | 47 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 48 | ! |
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[1] | 49 | ! Revision 1.6 2005/03/26 20:55:54 raasch |
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| 50 | ! Implementation of non-cyclic (Neumann) horizontal boundary conditions, |
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| 51 | ! routine prolong simplified (one call of exchange_horiz spared) |
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| 52 | ! |
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| 53 | ! Revision 1.1 2001/07/20 13:10:51 raasch |
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| 54 | ! Initial revision |
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| 55 | ! |
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| 56 | ! |
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| 57 | ! Description: |
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| 58 | ! ------------ |
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| 59 | ! Solves the Poisson equation for the perturbation pressure with a multigrid |
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| 60 | ! V- or W-Cycle scheme. |
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| 61 | ! |
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| 62 | ! This multigrid method was originally developed for PALM by Joerg Uhlenbrock, |
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| 63 | ! September 2000 - July 2001. |
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| 64 | !------------------------------------------------------------------------------! |
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| 65 | |
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| 66 | USE arrays_3d |
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| 67 | USE control_parameters |
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| 68 | USE cpulog |
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| 69 | USE grid_variables |
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| 70 | USE indices |
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| 71 | USE interfaces |
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| 72 | USE pegrid |
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| 73 | |
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| 74 | IMPLICIT NONE |
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| 75 | |
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| 76 | REAL :: maxerror, maximum_mgcycles, residual_norm |
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| 77 | |
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[778] | 78 | REAL, DIMENSION(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) :: r |
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[1] | 79 | |
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| 80 | REAL, DIMENSION(:,:,:), ALLOCATABLE :: p3 |
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| 81 | |
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| 82 | |
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| 83 | CALL cpu_log( log_point_s(29), 'poismg', 'start' ) |
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| 84 | ! |
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| 85 | !-- Initialize arrays and variables used in this subroutine |
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| 86 | |
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[778] | 87 | !-- If the number of grid points of the gathered grid, which is collected |
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| 88 | !-- on PE0, is larger than the number of grid points of an PE, than array |
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| 89 | !-- p3 will be enlarged. |
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| 90 | IF ( gathered_size > subdomain_size ) THEN |
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| 91 | ALLOCATE( p3(nzb:nzt_mg(mg_switch_to_pe0_level)+1,nys_mg( & |
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| 92 | mg_switch_to_pe0_level)-1:nyn_mg(mg_switch_to_pe0_level)+1, & |
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| 93 | nxl_mg(mg_switch_to_pe0_level)-1:nxr_mg( & |
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| 94 | mg_switch_to_pe0_level)+1) ) |
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| 95 | ELSE |
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| 96 | ALLOCATE ( p3(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) ) |
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| 97 | ENDIF |
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[1] | 98 | ! |
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[707] | 99 | !-- Ghost boundaries have to be added to divergence array. |
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| 100 | !-- Exchange routine needs to know the grid level! |
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| 101 | grid_level = maximum_grid_level |
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[667] | 102 | CALL exchange_horiz( d, 1) |
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[1] | 103 | d(nzb,:,:) = d(nzb+1,:,:) |
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| 104 | |
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| 105 | ! |
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| 106 | !-- Initiation of the multigrid scheme. Does n cycles until the |
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| 107 | !-- residual is smaller than the given limit. The accuracy of the solution |
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| 108 | !-- of the poisson equation will increase with the number of cycles. |
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| 109 | !-- If the number of cycles is preset by the user, this number will be |
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| 110 | !-- carried out regardless of the accuracy. |
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[707] | 111 | grid_level_count = 0 |
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| 112 | mgcycles = 0 |
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[1] | 113 | IF ( mg_cycles == -1 ) THEN |
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| 114 | maximum_mgcycles = 0 |
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| 115 | residual_norm = 1.0 |
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| 116 | ELSE |
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| 117 | maximum_mgcycles = mg_cycles |
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| 118 | residual_norm = 0.0 |
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| 119 | ENDIF |
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| 120 | |
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| 121 | DO WHILE ( residual_norm > residual_limit .OR. & |
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| 122 | mgcycles < maximum_mgcycles ) |
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[778] | 123 | |
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| 124 | CALL next_mg_level( d, p_loc, p3, r) |
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[1] | 125 | |
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| 126 | ! |
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| 127 | !-- Calculate the residual if the user has not preset the number of |
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| 128 | !-- cycles to be performed |
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| 129 | IF ( maximum_mgcycles == 0 ) THEN |
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[707] | 130 | CALL resid( d, p_loc, r ) |
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[1] | 131 | maxerror = SUM( r(nzb+1:nzt,nys:nyn,nxl:nxr)**2 ) |
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[778] | 132 | |
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[1] | 133 | #if defined( __parallel ) |
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[622] | 134 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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[778] | 135 | CALL MPI_ALLREDUCE( maxerror, residual_norm, 1, MPI_REAL, MPI_SUM, & |
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[1] | 136 | comm2d, ierr) |
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| 137 | #else |
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[778] | 138 | residual_norm = maxerror |
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[1] | 139 | #endif |
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| 140 | residual_norm = SQRT( residual_norm ) |
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| 141 | ENDIF |
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| 142 | |
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| 143 | mgcycles = mgcycles + 1 |
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| 144 | |
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| 145 | ! |
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| 146 | !-- If the user has not limited the number of cycles, stop the run in case |
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| 147 | !-- of insufficient convergence |
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| 148 | IF ( mgcycles > 1000 .AND. mg_cycles == -1 ) THEN |
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[257] | 149 | message_string = 'no sufficient convergence within 1000 cycles' |
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| 150 | CALL message( 'poismg', 'PA0283', 1, 2, 0, 6, 0 ) |
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[1] | 151 | ENDIF |
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| 152 | |
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| 153 | ENDDO |
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| 154 | |
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| 155 | DEALLOCATE( p3 ) |
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| 156 | |
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[707] | 157 | ! |
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| 158 | !-- Unset the grid level. Variable is used to determine the MPI datatypes for |
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| 159 | !-- ghost point exchange |
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| 160 | grid_level = 0 |
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| 161 | |
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[1] | 162 | CALL cpu_log( log_point_s(29), 'poismg', 'stop' ) |
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| 163 | |
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| 164 | END SUBROUTINE poismg |
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| 165 | |
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| 166 | |
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| 167 | |
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| 168 | SUBROUTINE resid( f_mg, p_mg, r ) |
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| 169 | |
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| 170 | !------------------------------------------------------------------------------! |
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| 171 | ! Description: |
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| 172 | ! ------------ |
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| 173 | ! Computes the residual of the perturbation pressure. |
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| 174 | !------------------------------------------------------------------------------! |
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| 175 | |
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| 176 | USE arrays_3d |
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| 177 | USE control_parameters |
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| 178 | USE grid_variables |
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| 179 | USE indices |
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| 180 | USE pegrid |
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| 181 | |
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| 182 | IMPLICIT NONE |
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| 183 | |
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| 184 | INTEGER :: i, j, k, l |
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| 185 | |
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| 186 | REAL, DIMENSION(nzb:nzt_mg(grid_level)+1, & |
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| 187 | nys_mg(grid_level)-1:nyn_mg(grid_level)+1, & |
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| 188 | nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: f_mg, p_mg, r |
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| 189 | |
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| 190 | ! |
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| 191 | !-- Calculate the residual |
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| 192 | l = grid_level |
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| 193 | |
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[114] | 194 | ! |
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| 195 | !-- Choose flag array of this level |
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| 196 | SELECT CASE ( l ) |
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| 197 | CASE ( 1 ) |
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| 198 | flags => wall_flags_1 |
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| 199 | CASE ( 2 ) |
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| 200 | flags => wall_flags_2 |
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| 201 | CASE ( 3 ) |
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| 202 | flags => wall_flags_3 |
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| 203 | CASE ( 4 ) |
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| 204 | flags => wall_flags_4 |
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| 205 | CASE ( 5 ) |
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| 206 | flags => wall_flags_5 |
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| 207 | CASE ( 6 ) |
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| 208 | flags => wall_flags_6 |
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| 209 | CASE ( 7 ) |
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| 210 | flags => wall_flags_7 |
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| 211 | CASE ( 8 ) |
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| 212 | flags => wall_flags_8 |
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| 213 | CASE ( 9 ) |
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| 214 | flags => wall_flags_9 |
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| 215 | CASE ( 10 ) |
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| 216 | flags => wall_flags_10 |
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| 217 | END SELECT |
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| 218 | |
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[1] | 219 | !$OMP PARALLEL PRIVATE (i,j,k) |
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| 220 | !$OMP DO |
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| 221 | DO i = nxl_mg(l), nxr_mg(l) |
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| 222 | DO j = nys_mg(l), nyn_mg(l) |
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| 223 | DO k = nzb+1, nzt_mg(l) |
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[114] | 224 | r(k,j,i) = f_mg(k,j,i) & |
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| 225 | - ddx2_mg(l) * & |
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| 226 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
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| 227 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
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| 228 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
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| 229 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
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| 230 | - ddy2_mg(l) * & |
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| 231 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
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| 232 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
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| 233 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
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| 234 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
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| 235 | - f2_mg(k,l) * p_mg(k+1,j,i) & |
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| 236 | - f3_mg(k,l) * & |
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| 237 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
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| 238 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
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[1] | 239 | + f1_mg(k,l) * p_mg(k,j,i) |
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[114] | 240 | ! |
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| 241 | !-- Residual within topography should be zero |
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| 242 | r(k,j,i) = r(k,j,i) * ( 1.0 - IBITS( flags(k,j,i), 6, 1 ) ) |
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[1] | 243 | ENDDO |
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| 244 | ENDDO |
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| 245 | ENDDO |
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| 246 | !$OMP END PARALLEL |
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| 247 | |
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| 248 | ! |
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| 249 | !-- Horizontal boundary conditions |
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[667] | 250 | CALL exchange_horiz( r, 1) |
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[1] | 251 | |
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[707] | 252 | IF ( .NOT. bc_lr_cyc ) THEN |
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[1] | 253 | IF ( inflow_l .OR. outflow_l ) r(:,:,nxl_mg(l)-1) = r(:,:,nxl_mg(l)) |
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| 254 | IF ( inflow_r .OR. outflow_r ) r(:,:,nxr_mg(l)+1) = r(:,:,nxr_mg(l)) |
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| 255 | ENDIF |
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| 256 | |
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[707] | 257 | IF ( .NOT. bc_ns_cyc ) THEN |
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[1] | 258 | IF ( inflow_n .OR. outflow_n ) r(:,nyn_mg(l)+1,:) = r(:,nyn_mg(l),:) |
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| 259 | IF ( inflow_s .OR. outflow_s ) r(:,nys_mg(l)-1,:) = r(:,nys_mg(l),:) |
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| 260 | ENDIF |
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| 261 | |
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| 262 | ! |
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[707] | 263 | !-- Boundary conditions at bottom and top of the domain. |
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| 264 | !-- These points are not handled by the above loop. Points may be within |
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| 265 | !-- buildings, but that doesn't matter. |
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| 266 | IF ( ibc_p_b == 1 ) THEN |
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| 267 | r(nzb,:,: ) = r(nzb+1,:,:) |
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| 268 | ELSE |
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| 269 | r(nzb,:,: ) = 0.0 |
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| 270 | ENDIF |
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| 271 | |
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[1] | 272 | IF ( ibc_p_t == 1 ) THEN |
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| 273 | r(nzt_mg(l)+1,:,: ) = r(nzt_mg(l),:,:) |
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| 274 | ELSE |
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| 275 | r(nzt_mg(l)+1,:,: ) = 0.0 |
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| 276 | ENDIF |
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| 277 | |
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| 278 | |
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| 279 | END SUBROUTINE resid |
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| 280 | |
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| 281 | |
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| 282 | |
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| 283 | SUBROUTINE restrict( f_mg, r ) |
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| 284 | |
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| 285 | !------------------------------------------------------------------------------! |
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| 286 | ! Description: |
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| 287 | ! ------------ |
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| 288 | ! Interpolates the residual on the next coarser grid with "full weighting" |
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| 289 | ! scheme |
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| 290 | !------------------------------------------------------------------------------! |
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| 291 | |
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| 292 | USE control_parameters |
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| 293 | USE grid_variables |
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| 294 | USE indices |
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| 295 | USE pegrid |
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| 296 | |
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| 297 | IMPLICIT NONE |
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| 298 | |
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| 299 | INTEGER :: i, ic, j, jc, k, kc, l |
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| 300 | |
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[114] | 301 | REAL :: rkjim, rkjip, rkjmi, rkjmim, rkjmip, rkjpi, rkjpim, rkjpip, & |
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| 302 | rkmji, rkmjim, rkmjip, rkmjmi, rkmjmim, rkmjmip, rkmjpi, rkmjpim, & |
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| 303 | rkmjpip |
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| 304 | |
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[1] | 305 | REAL, DIMENSION(nzb:nzt_mg(grid_level)+1, & |
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| 306 | nys_mg(grid_level)-1:nyn_mg(grid_level)+1, & |
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| 307 | nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: f_mg |
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| 308 | |
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| 309 | REAL, DIMENSION(nzb:nzt_mg(grid_level+1)+1, & |
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| 310 | nys_mg(grid_level+1)-1:nyn_mg(grid_level+1)+1, & |
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| 311 | nxl_mg(grid_level+1)-1:nxr_mg(grid_level+1)+1) :: r |
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| 312 | |
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| 313 | ! |
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| 314 | !-- Interpolate the residual |
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| 315 | l = grid_level |
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| 316 | |
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[114] | 317 | ! |
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| 318 | !-- Choose flag array of the upper level |
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[181] | 319 | SELECT CASE ( l+1 ) |
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[114] | 320 | CASE ( 1 ) |
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| 321 | flags => wall_flags_1 |
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| 322 | CASE ( 2 ) |
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| 323 | flags => wall_flags_2 |
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| 324 | CASE ( 3 ) |
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| 325 | flags => wall_flags_3 |
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| 326 | CASE ( 4 ) |
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| 327 | flags => wall_flags_4 |
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| 328 | CASE ( 5 ) |
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| 329 | flags => wall_flags_5 |
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| 330 | CASE ( 6 ) |
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| 331 | flags => wall_flags_6 |
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| 332 | CASE ( 7 ) |
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| 333 | flags => wall_flags_7 |
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| 334 | CASE ( 8 ) |
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| 335 | flags => wall_flags_8 |
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| 336 | CASE ( 9 ) |
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| 337 | flags => wall_flags_9 |
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| 338 | CASE ( 10 ) |
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| 339 | flags => wall_flags_10 |
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| 340 | END SELECT |
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| 341 | |
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[1] | 342 | !$OMP PARALLEL PRIVATE (i,j,k,ic,jc,kc) |
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| 343 | !$OMP DO |
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| 344 | DO ic = nxl_mg(l), nxr_mg(l) |
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| 345 | i = 2*ic |
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| 346 | DO jc = nys_mg(l), nyn_mg(l) |
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| 347 | j = 2*jc |
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| 348 | DO kc = nzb+1, nzt_mg(l) |
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| 349 | k = 2*kc-1 |
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[114] | 350 | ! |
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| 351 | !-- Use implicit Neumann BCs if the respective gridpoint is inside |
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| 352 | !-- the building |
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| 353 | rkjim = r(k,j,i-1) + IBITS( flags(k,j,i-1), 6, 1 ) * & |
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| 354 | ( r(k,j,i) - r(k,j,i-1) ) |
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| 355 | rkjip = r(k,j,i+1) + IBITS( flags(k,j,i+1), 6, 1 ) * & |
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| 356 | ( r(k,j,i) - r(k,j,i+1) ) |
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| 357 | rkjpi = r(k,j+1,i) + IBITS( flags(k,j+1,i), 6, 1 ) * & |
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| 358 | ( r(k,j,i) - r(k,j+1,i) ) |
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| 359 | rkjmi = r(k,j-1,i) + IBITS( flags(k,j-1,i), 6, 1 ) * & |
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| 360 | ( r(k,j,i) - r(k,j-1,i) ) |
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| 361 | rkjmim = r(k,j-1,i-1) + IBITS( flags(k,j-1,i-1), 6, 1 ) * & |
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| 362 | ( r(k,j,i) - r(k,j-1,i-1) ) |
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| 363 | rkjpim = r(k,j+1,i-1) + IBITS( flags(k,j+1,i-1), 6, 1 ) * & |
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| 364 | ( r(k,j,i) - r(k,j+1,i-1) ) |
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| 365 | rkjmip = r(k,j-1,i+1) + IBITS( flags(k,j-1,i+1), 6, 1 ) * & |
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| 366 | ( r(k,j,i) - r(k,j-1,i+1) ) |
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| 367 | rkjpip = r(k,j+1,i+1) + IBITS( flags(k,j+1,i+1), 6, 1 ) * & |
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| 368 | ( r(k,j,i) - r(k,j+1,i+1) ) |
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| 369 | rkmji = r(k-1,j,i) + IBITS( flags(k-1,j,i), 6, 1 ) * & |
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| 370 | ( r(k,j,i) - r(k-1,j,i) ) |
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| 371 | rkmjim = r(k-1,j,i-1) + IBITS( flags(k-1,j,i-1), 6, 1 ) * & |
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| 372 | ( r(k,j,i) - r(k-1,j,i-1) ) |
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| 373 | rkmjip = r(k-1,j,i+1) + IBITS( flags(k-1,j,i+1), 6, 1 ) * & |
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| 374 | ( r(k,j,i) - r(k-1,j,i+1) ) |
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| 375 | rkmjpi = r(k-1,j+1,i) + IBITS( flags(k-1,j+1,i), 6, 1 ) * & |
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| 376 | ( r(k,j,i) - r(k-1,j+1,i) ) |
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| 377 | rkmjmi = r(k-1,j-1,i) + IBITS( flags(k-1,j-1,i), 6, 1 ) * & |
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| 378 | ( r(k,j,i) - r(k-1,j-1,i) ) |
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| 379 | rkmjmim = r(k-1,j-1,i-1) + IBITS( flags(k-1,j-1,i-1), 6, 1 ) * & |
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| 380 | ( r(k,j,i) - r(k-1,j-1,i-1) ) |
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| 381 | rkmjpim = r(k-1,j+1,i-1) + IBITS( flags(k-1,j+1,i-1), 6, 1 ) * & |
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| 382 | ( r(k,j,i) - r(k-1,j+1,i-1) ) |
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| 383 | rkmjmip = r(k-1,j-1,i+1) + IBITS( flags(k-1,j-1,i+1), 6, 1 ) * & |
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| 384 | ( r(k,j,i) - r(k-1,j-1,i+1) ) |
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| 385 | rkmjpip = r(k-1,j+1,i+1) + IBITS( flags(k-1,j+1,i+1), 6, 1 ) * & |
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| 386 | ( r(k,j,i) - r(k-1,j+1,i+1) ) |
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| 387 | |
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[1] | 388 | f_mg(kc,jc,ic) = 1.0 / 64.0 * ( & |
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| 389 | 8.0 * r(k,j,i) & |
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[114] | 390 | + 4.0 * ( rkjim + rkjip + & |
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| 391 | rkjpi + rkjmi ) & |
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| 392 | + 2.0 * ( rkjmim + rkjpim + & |
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| 393 | rkjmip + rkjpip ) & |
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| 394 | + 4.0 * rkmji & |
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| 395 | + 2.0 * ( rkmjim + rkmjim + & |
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| 396 | rkmjpi + rkmjmi ) & |
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| 397 | + ( rkmjmim + rkmjpim + & |
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| 398 | rkmjmip + rkmjpip ) & |
---|
[1] | 399 | + 4.0 * r(k+1,j,i) & |
---|
| 400 | + 2.0 * ( r(k+1,j,i-1) + r(k+1,j,i+1) + & |
---|
| 401 | r(k+1,j+1,i) + r(k+1,j-1,i) ) & |
---|
| 402 | + ( r(k+1,j-1,i-1) + r(k+1,j+1,i-1) + & |
---|
| 403 | r(k+1,j-1,i+1) + r(k+1,j+1,i+1) ) & |
---|
| 404 | ) |
---|
[114] | 405 | |
---|
| 406 | ! f_mg(kc,jc,ic) = 1.0 / 64.0 * ( & |
---|
| 407 | ! 8.0 * r(k,j,i) & |
---|
| 408 | ! + 4.0 * ( r(k,j,i-1) + r(k,j,i+1) + & |
---|
| 409 | ! r(k,j+1,i) + r(k,j-1,i) ) & |
---|
| 410 | ! + 2.0 * ( r(k,j-1,i-1) + r(k,j+1,i-1) + & |
---|
| 411 | ! r(k,j-1,i+1) + r(k,j+1,i+1) ) & |
---|
| 412 | ! + 4.0 * r(k-1,j,i) & |
---|
| 413 | ! + 2.0 * ( r(k-1,j,i-1) + r(k-1,j,i+1) + & |
---|
| 414 | ! r(k-1,j+1,i) + r(k-1,j-1,i) ) & |
---|
| 415 | ! + ( r(k-1,j-1,i-1) + r(k-1,j+1,i-1) + & |
---|
| 416 | ! r(k-1,j-1,i+1) + r(k-1,j+1,i+1) ) & |
---|
| 417 | ! + 4.0 * r(k+1,j,i) & |
---|
| 418 | ! + 2.0 * ( r(k+1,j,i-1) + r(k+1,j,i+1) + & |
---|
| 419 | ! r(k+1,j+1,i) + r(k+1,j-1,i) ) & |
---|
| 420 | ! + ( r(k+1,j-1,i-1) + r(k+1,j+1,i-1) + & |
---|
| 421 | ! r(k+1,j-1,i+1) + r(k+1,j+1,i+1) ) & |
---|
| 422 | ! ) |
---|
[1] | 423 | ENDDO |
---|
| 424 | ENDDO |
---|
| 425 | ENDDO |
---|
| 426 | !$OMP END PARALLEL |
---|
| 427 | |
---|
| 428 | ! |
---|
| 429 | !-- Horizontal boundary conditions |
---|
[667] | 430 | CALL exchange_horiz( f_mg, 1) |
---|
[1] | 431 | |
---|
[707] | 432 | IF ( .NOT. bc_lr_cyc ) THEN |
---|
[1] | 433 | IF (inflow_l .OR. outflow_l) f_mg(:,:,nxl_mg(l)-1) = f_mg(:,:,nxl_mg(l)) |
---|
| 434 | IF (inflow_r .OR. outflow_r) f_mg(:,:,nxr_mg(l)+1) = f_mg(:,:,nxr_mg(l)) |
---|
| 435 | ENDIF |
---|
| 436 | |
---|
[707] | 437 | IF ( .NOT. bc_ns_cyc ) THEN |
---|
[1] | 438 | IF (inflow_n .OR. outflow_n) f_mg(:,nyn_mg(l)+1,:) = f_mg(:,nyn_mg(l),:) |
---|
| 439 | IF (inflow_s .OR. outflow_s) f_mg(:,nys_mg(l)-1,:) = f_mg(:,nys_mg(l),:) |
---|
| 440 | ENDIF |
---|
| 441 | |
---|
| 442 | ! |
---|
[707] | 443 | !-- Boundary conditions at bottom and top of the domain. |
---|
| 444 | !-- These points are not handled by the above loop. Points may be within |
---|
| 445 | !-- buildings, but that doesn't matter. |
---|
| 446 | IF ( ibc_p_b == 1 ) THEN |
---|
| 447 | f_mg(nzb,:,: ) = f_mg(nzb+1,:,:) |
---|
| 448 | ELSE |
---|
| 449 | f_mg(nzb,:,: ) = 0.0 |
---|
| 450 | ENDIF |
---|
[1] | 451 | |
---|
[707] | 452 | IF ( ibc_p_t == 1 ) THEN |
---|
| 453 | f_mg(nzt_mg(l)+1,:,: ) = f_mg(nzt_mg(l),:,:) |
---|
| 454 | ELSE |
---|
| 455 | f_mg(nzt_mg(l)+1,:,: ) = 0.0 |
---|
| 456 | ENDIF |
---|
[1] | 457 | |
---|
[707] | 458 | |
---|
[1] | 459 | END SUBROUTINE restrict |
---|
| 460 | |
---|
| 461 | |
---|
| 462 | |
---|
| 463 | SUBROUTINE prolong( p, temp ) |
---|
| 464 | |
---|
| 465 | !------------------------------------------------------------------------------! |
---|
| 466 | ! Description: |
---|
| 467 | ! ------------ |
---|
| 468 | ! Interpolates the correction of the perturbation pressure |
---|
| 469 | ! to the next finer grid. |
---|
| 470 | !------------------------------------------------------------------------------! |
---|
| 471 | |
---|
| 472 | USE control_parameters |
---|
| 473 | USE pegrid |
---|
| 474 | USE indices |
---|
| 475 | |
---|
| 476 | IMPLICIT NONE |
---|
| 477 | |
---|
| 478 | INTEGER :: i, j, k, l |
---|
| 479 | |
---|
| 480 | REAL, DIMENSION(nzb:nzt_mg(grid_level-1)+1, & |
---|
| 481 | nys_mg(grid_level-1)-1:nyn_mg(grid_level-1)+1, & |
---|
| 482 | nxl_mg(grid_level-1)-1:nxr_mg(grid_level-1)+1 ) :: p |
---|
| 483 | |
---|
| 484 | REAL, DIMENSION(nzb:nzt_mg(grid_level)+1, & |
---|
| 485 | nys_mg(grid_level)-1:nyn_mg(grid_level)+1, & |
---|
| 486 | nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: temp |
---|
| 487 | |
---|
| 488 | |
---|
| 489 | ! |
---|
| 490 | !-- First, store elements of the coarser grid on the next finer grid |
---|
| 491 | l = grid_level |
---|
| 492 | |
---|
| 493 | !$OMP PARALLEL PRIVATE (i,j,k) |
---|
| 494 | !$OMP DO |
---|
| 495 | DO i = nxl_mg(l-1), nxr_mg(l-1) |
---|
| 496 | DO j = nys_mg(l-1), nyn_mg(l-1) |
---|
| 497 | !CDIR NODEP |
---|
| 498 | DO k = nzb+1, nzt_mg(l-1) |
---|
| 499 | ! |
---|
| 500 | !-- Points of the coarse grid are directly stored on the next finer |
---|
| 501 | !-- grid |
---|
| 502 | temp(2*k-1,2*j,2*i) = p(k,j,i) |
---|
| 503 | ! |
---|
| 504 | !-- Points between two coarse-grid points |
---|
| 505 | temp(2*k-1,2*j,2*i+1) = 0.5 * ( p(k,j,i) + p(k,j,i+1) ) |
---|
| 506 | temp(2*k-1,2*j+1,2*i) = 0.5 * ( p(k,j,i) + p(k,j+1,i) ) |
---|
| 507 | temp(2*k,2*j,2*i) = 0.5 * ( p(k,j,i) + p(k+1,j,i) ) |
---|
| 508 | ! |
---|
| 509 | !-- Points in the center of the planes stretched by four points |
---|
| 510 | !-- of the coarse grid cube |
---|
| 511 | temp(2*k-1,2*j+1,2*i+1) = 0.25 * ( p(k,j,i) + p(k,j,i+1) + & |
---|
| 512 | p(k,j+1,i) + p(k,j+1,i+1) ) |
---|
| 513 | temp(2*k,2*j,2*i+1) = 0.25 * ( p(k,j,i) + p(k,j,i+1) + & |
---|
| 514 | p(k+1,j,i) + p(k+1,j,i+1) ) |
---|
| 515 | temp(2*k,2*j+1,2*i) = 0.25 * ( p(k,j,i) + p(k,j+1,i) + & |
---|
| 516 | p(k+1,j,i) + p(k+1,j+1,i) ) |
---|
| 517 | ! |
---|
| 518 | !-- Points in the middle of coarse grid cube |
---|
| 519 | temp(2*k,2*j+1,2*i+1) = 0.125 * ( p(k,j,i) + p(k,j,i+1) + & |
---|
| 520 | p(k,j+1,i) + p(k,j+1,i+1) + & |
---|
| 521 | p(k+1,j,i) + p(k+1,j,i+1) + & |
---|
| 522 | p(k+1,j+1,i) + p(k+1,j+1,i+1) ) |
---|
| 523 | ENDDO |
---|
| 524 | ENDDO |
---|
| 525 | ENDDO |
---|
| 526 | !$OMP END PARALLEL |
---|
| 527 | |
---|
| 528 | ! |
---|
| 529 | !-- Horizontal boundary conditions |
---|
[667] | 530 | CALL exchange_horiz( temp, 1) |
---|
[1] | 531 | |
---|
[707] | 532 | IF ( .NOT. bc_lr_cyc ) THEN |
---|
[1] | 533 | IF (inflow_l .OR. outflow_l) temp(:,:,nxl_mg(l)-1) = temp(:,:,nxl_mg(l)) |
---|
| 534 | IF (inflow_r .OR. outflow_r) temp(:,:,nxr_mg(l)+1) = temp(:,:,nxr_mg(l)) |
---|
| 535 | ENDIF |
---|
| 536 | |
---|
[707] | 537 | IF ( .NOT. bc_ns_cyc ) THEN |
---|
[1] | 538 | IF (inflow_n .OR. outflow_n) temp(:,nyn_mg(l)+1,:) = temp(:,nyn_mg(l),:) |
---|
| 539 | IF (inflow_s .OR. outflow_s) temp(:,nys_mg(l)-1,:) = temp(:,nys_mg(l),:) |
---|
| 540 | ENDIF |
---|
| 541 | |
---|
| 542 | ! |
---|
| 543 | !-- Bottom and top boundary conditions |
---|
| 544 | IF ( ibc_p_b == 1 ) THEN |
---|
| 545 | temp(nzb,:,: ) = temp(nzb+1,:,:) |
---|
| 546 | ELSE |
---|
| 547 | temp(nzb,:,: ) = 0.0 |
---|
| 548 | ENDIF |
---|
| 549 | |
---|
| 550 | IF ( ibc_p_t == 1 ) THEN |
---|
| 551 | temp(nzt_mg(l)+1,:,: ) = temp(nzt_mg(l),:,:) |
---|
| 552 | ELSE |
---|
| 553 | temp(nzt_mg(l)+1,:,: ) = 0.0 |
---|
| 554 | ENDIF |
---|
| 555 | |
---|
| 556 | |
---|
| 557 | END SUBROUTINE prolong |
---|
| 558 | |
---|
| 559 | |
---|
| 560 | SUBROUTINE redblack( f_mg, p_mg ) |
---|
| 561 | |
---|
| 562 | !------------------------------------------------------------------------------! |
---|
| 563 | ! Description: |
---|
| 564 | ! ------------ |
---|
| 565 | ! Relaxation method for the multigrid scheme. A Gauss-Seidel iteration with |
---|
| 566 | ! 3D-Red-Black decomposition (GS-RB) is used. |
---|
| 567 | !------------------------------------------------------------------------------! |
---|
| 568 | |
---|
| 569 | USE arrays_3d |
---|
| 570 | USE control_parameters |
---|
| 571 | USE cpulog |
---|
| 572 | USE grid_variables |
---|
| 573 | USE indices |
---|
| 574 | USE interfaces |
---|
| 575 | USE pegrid |
---|
| 576 | |
---|
| 577 | IMPLICIT NONE |
---|
| 578 | |
---|
| 579 | INTEGER :: colour, i, ic, j, jc, jj, k, l, n |
---|
| 580 | |
---|
| 581 | LOGICAL :: unroll |
---|
| 582 | |
---|
[114] | 583 | REAL :: wall_left, wall_north, wall_right, wall_south, wall_total, wall_top |
---|
| 584 | |
---|
[1] | 585 | REAL, DIMENSION(nzb:nzt_mg(grid_level)+1, & |
---|
| 586 | nys_mg(grid_level)-1:nyn_mg(grid_level)+1, & |
---|
| 587 | nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: f_mg, p_mg |
---|
| 588 | |
---|
| 589 | |
---|
| 590 | l = grid_level |
---|
| 591 | |
---|
[114] | 592 | ! |
---|
| 593 | !-- Choose flag array of this level |
---|
| 594 | SELECT CASE ( l ) |
---|
| 595 | CASE ( 1 ) |
---|
| 596 | flags => wall_flags_1 |
---|
| 597 | CASE ( 2 ) |
---|
| 598 | flags => wall_flags_2 |
---|
| 599 | CASE ( 3 ) |
---|
| 600 | flags => wall_flags_3 |
---|
| 601 | CASE ( 4 ) |
---|
| 602 | flags => wall_flags_4 |
---|
| 603 | CASE ( 5 ) |
---|
| 604 | flags => wall_flags_5 |
---|
| 605 | CASE ( 6 ) |
---|
| 606 | flags => wall_flags_6 |
---|
| 607 | CASE ( 7 ) |
---|
| 608 | flags => wall_flags_7 |
---|
| 609 | CASE ( 8 ) |
---|
| 610 | flags => wall_flags_8 |
---|
| 611 | CASE ( 9 ) |
---|
| 612 | flags => wall_flags_9 |
---|
| 613 | CASE ( 10 ) |
---|
| 614 | flags => wall_flags_10 |
---|
| 615 | END SELECT |
---|
| 616 | |
---|
[1] | 617 | unroll = ( MOD( nyn_mg(l)-nys_mg(l)+1, 4 ) == 0 .AND. & |
---|
| 618 | MOD( nxr_mg(l)-nxl_mg(l)+1, 2 ) == 0 ) |
---|
| 619 | |
---|
| 620 | DO n = 1, ngsrb |
---|
| 621 | |
---|
| 622 | DO colour = 1, 2 |
---|
| 623 | |
---|
| 624 | IF ( .NOT. unroll ) THEN |
---|
[778] | 625 | |
---|
[1] | 626 | CALL cpu_log( log_point_s(36), 'redblack_no_unroll', 'start' ) |
---|
| 627 | |
---|
| 628 | ! |
---|
| 629 | !-- Without unrolling of loops, no cache optimization |
---|
| 630 | DO i = nxl_mg(l), nxr_mg(l), 2 |
---|
| 631 | DO j = nys_mg(l) + 2 - colour, nyn_mg(l), 2 |
---|
| 632 | DO k = nzb+1, nzt_mg(l), 2 |
---|
[114] | 633 | ! p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
| 634 | ! ddx2_mg(l) * ( p_mg(k,j,i+1) + p_mg(k,j,i-1) ) & |
---|
| 635 | ! + ddy2_mg(l) * ( p_mg(k,j+1,i) + p_mg(k,j-1,i) ) & |
---|
| 636 | ! + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
| 637 | ! + f3_mg(k,l) * p_mg(k-1,j,i) - f_mg(k,j,i) & |
---|
| 638 | ! ) |
---|
| 639 | |
---|
[1] | 640 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
[114] | 641 | ddx2_mg(l) * & |
---|
| 642 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
| 643 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
| 644 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
| 645 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
| 646 | + ddy2_mg(l) * & |
---|
| 647 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
| 648 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
| 649 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
| 650 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
| 651 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
| 652 | + f3_mg(k,l) * & |
---|
| 653 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
| 654 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
| 655 | - f_mg(k,j,i) ) |
---|
[1] | 656 | ENDDO |
---|
| 657 | ENDDO |
---|
| 658 | ENDDO |
---|
| 659 | |
---|
| 660 | DO i = nxl_mg(l)+1, nxr_mg(l), 2 |
---|
| 661 | DO j = nys_mg(l) + (colour-1), nyn_mg(l), 2 |
---|
| 662 | DO k = nzb+1, nzt_mg(l), 2 |
---|
| 663 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
[114] | 664 | ddx2_mg(l) * & |
---|
| 665 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
| 666 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
| 667 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
| 668 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
| 669 | + ddy2_mg(l) * & |
---|
| 670 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
| 671 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
| 672 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
| 673 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
| 674 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
| 675 | + f3_mg(k,l) * & |
---|
| 676 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
| 677 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
| 678 | - f_mg(k,j,i) ) |
---|
[1] | 679 | ENDDO |
---|
| 680 | ENDDO |
---|
| 681 | ENDDO |
---|
| 682 | |
---|
| 683 | DO i = nxl_mg(l), nxr_mg(l), 2 |
---|
| 684 | DO j = nys_mg(l) + (colour-1), nyn_mg(l), 2 |
---|
| 685 | DO k = nzb+2, nzt_mg(l), 2 |
---|
| 686 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
[114] | 687 | ddx2_mg(l) * & |
---|
| 688 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
| 689 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
| 690 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
| 691 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
| 692 | + ddy2_mg(l) * & |
---|
| 693 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
| 694 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
| 695 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
| 696 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
| 697 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
| 698 | + f3_mg(k,l) * & |
---|
| 699 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
| 700 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
| 701 | - f_mg(k,j,i) ) |
---|
[1] | 702 | ENDDO |
---|
| 703 | ENDDO |
---|
| 704 | ENDDO |
---|
| 705 | |
---|
| 706 | DO i = nxl_mg(l)+1, nxr_mg(l), 2 |
---|
| 707 | DO j = nys_mg(l) + 2 - colour, nyn_mg(l), 2 |
---|
| 708 | DO k = nzb+2, nzt_mg(l), 2 |
---|
| 709 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
[114] | 710 | ddx2_mg(l) * & |
---|
| 711 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
| 712 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
| 713 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
| 714 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
| 715 | + ddy2_mg(l) * & |
---|
| 716 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
| 717 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
| 718 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
| 719 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
| 720 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
| 721 | + f3_mg(k,l) * & |
---|
| 722 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
| 723 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
| 724 | - f_mg(k,j,i) ) |
---|
[1] | 725 | ENDDO |
---|
| 726 | ENDDO |
---|
| 727 | ENDDO |
---|
| 728 | CALL cpu_log( log_point_s(36), 'redblack_no_unroll', 'stop' ) |
---|
| 729 | |
---|
| 730 | ELSE |
---|
| 731 | |
---|
| 732 | ! |
---|
| 733 | !-- Loop unrolling along y, only one i loop for better cache use |
---|
| 734 | CALL cpu_log( log_point_s(38), 'redblack_unroll', 'start' ) |
---|
| 735 | DO ic = nxl_mg(l), nxr_mg(l), 2 |
---|
| 736 | DO jc = nys_mg(l), nyn_mg(l), 4 |
---|
| 737 | i = ic |
---|
| 738 | jj = jc+2-colour |
---|
| 739 | DO k = nzb+1, nzt_mg(l), 2 |
---|
| 740 | j = jj |
---|
| 741 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
[114] | 742 | ddx2_mg(l) * & |
---|
| 743 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
| 744 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
| 745 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
| 746 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
| 747 | + ddy2_mg(l) * & |
---|
| 748 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
| 749 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
| 750 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
| 751 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
| 752 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
| 753 | + f3_mg(k,l) * & |
---|
| 754 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
| 755 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
| 756 | - f_mg(k,j,i) ) |
---|
[1] | 757 | j = jj+2 |
---|
| 758 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
[114] | 759 | ddx2_mg(l) * & |
---|
| 760 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
| 761 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
| 762 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
| 763 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
| 764 | + ddy2_mg(l) * & |
---|
| 765 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
| 766 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
| 767 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
| 768 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
| 769 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
| 770 | + f3_mg(k,l) * & |
---|
| 771 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
| 772 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
| 773 | - f_mg(k,j,i) ) |
---|
[1] | 774 | ENDDO |
---|
| 775 | |
---|
| 776 | i = ic+1 |
---|
| 777 | jj = jc+colour-1 |
---|
| 778 | DO k = nzb+1, nzt_mg(l), 2 |
---|
| 779 | j =jj |
---|
| 780 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
[114] | 781 | ddx2_mg(l) * & |
---|
| 782 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
| 783 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
| 784 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
| 785 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
| 786 | + ddy2_mg(l) * & |
---|
| 787 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
| 788 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
| 789 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
| 790 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
| 791 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
| 792 | + f3_mg(k,l) * & |
---|
| 793 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
| 794 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
| 795 | - f_mg(k,j,i) ) |
---|
[1] | 796 | j = jj+2 |
---|
| 797 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
[114] | 798 | ddx2_mg(l) * & |
---|
| 799 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
| 800 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
| 801 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
| 802 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
| 803 | + ddy2_mg(l) * & |
---|
| 804 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
| 805 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
| 806 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
| 807 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
| 808 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
| 809 | + f3_mg(k,l) * & |
---|
| 810 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
| 811 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
| 812 | - f_mg(k,j,i) ) |
---|
[1] | 813 | ENDDO |
---|
| 814 | |
---|
| 815 | i = ic |
---|
| 816 | jj = jc+colour-1 |
---|
| 817 | DO k = nzb+2, nzt_mg(l), 2 |
---|
| 818 | j =jj |
---|
| 819 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
[114] | 820 | ddx2_mg(l) * & |
---|
| 821 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
| 822 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
| 823 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
| 824 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
| 825 | + ddy2_mg(l) * & |
---|
| 826 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
| 827 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
| 828 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
| 829 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
| 830 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
| 831 | + f3_mg(k,l) * & |
---|
| 832 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
| 833 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
| 834 | - f_mg(k,j,i) ) |
---|
[1] | 835 | j = jj+2 |
---|
| 836 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
[114] | 837 | ddx2_mg(l) * & |
---|
| 838 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
| 839 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
| 840 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
| 841 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
| 842 | + ddy2_mg(l) * & |
---|
| 843 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
| 844 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
| 845 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
| 846 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
| 847 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
| 848 | + f3_mg(k,l) * & |
---|
| 849 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
| 850 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
| 851 | - f_mg(k,j,i) ) |
---|
[1] | 852 | ENDDO |
---|
| 853 | |
---|
| 854 | i = ic+1 |
---|
| 855 | jj = jc+2-colour |
---|
| 856 | DO k = nzb+2, nzt_mg(l), 2 |
---|
| 857 | j =jj |
---|
| 858 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
[114] | 859 | ddx2_mg(l) * & |
---|
| 860 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
| 861 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
| 862 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
| 863 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
| 864 | + ddy2_mg(l) * & |
---|
| 865 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
| 866 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
| 867 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
| 868 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
| 869 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
| 870 | + f3_mg(k,l) * & |
---|
| 871 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
| 872 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
| 873 | - f_mg(k,j,i) ) |
---|
[1] | 874 | j = jj+2 |
---|
| 875 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
[114] | 876 | ddx2_mg(l) * & |
---|
| 877 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
| 878 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
| 879 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
| 880 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
| 881 | + ddy2_mg(l) * & |
---|
| 882 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
| 883 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
| 884 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
| 885 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
| 886 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
| 887 | + f3_mg(k,l) * & |
---|
| 888 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
| 889 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
| 890 | - f_mg(k,j,i) ) |
---|
[1] | 891 | ENDDO |
---|
| 892 | |
---|
| 893 | ENDDO |
---|
| 894 | ENDDO |
---|
| 895 | CALL cpu_log( log_point_s(38), 'redblack_unroll', 'stop' ) |
---|
| 896 | |
---|
| 897 | ENDIF |
---|
| 898 | |
---|
| 899 | ! |
---|
| 900 | !-- Horizontal boundary conditions |
---|
[667] | 901 | CALL exchange_horiz( p_mg, 1 ) |
---|
[1] | 902 | |
---|
[707] | 903 | IF ( .NOT. bc_lr_cyc ) THEN |
---|
[1] | 904 | IF ( inflow_l .OR. outflow_l ) THEN |
---|
| 905 | p_mg(:,:,nxl_mg(l)-1) = p_mg(:,:,nxl_mg(l)) |
---|
| 906 | ENDIF |
---|
| 907 | IF ( inflow_r .OR. outflow_r ) THEN |
---|
| 908 | p_mg(:,:,nxr_mg(l)+1) = p_mg(:,:,nxr_mg(l)) |
---|
| 909 | ENDIF |
---|
| 910 | ENDIF |
---|
| 911 | |
---|
[707] | 912 | IF ( .NOT. bc_ns_cyc ) THEN |
---|
[1] | 913 | IF ( inflow_n .OR. outflow_n ) THEN |
---|
| 914 | p_mg(:,nyn_mg(l)+1,:) = p_mg(:,nyn_mg(l),:) |
---|
| 915 | ENDIF |
---|
| 916 | IF ( inflow_s .OR. outflow_s ) THEN |
---|
| 917 | p_mg(:,nys_mg(l)-1,:) = p_mg(:,nys_mg(l),:) |
---|
| 918 | ENDIF |
---|
| 919 | ENDIF |
---|
| 920 | |
---|
| 921 | ! |
---|
| 922 | !-- Bottom and top boundary conditions |
---|
| 923 | IF ( ibc_p_b == 1 ) THEN |
---|
| 924 | p_mg(nzb,:,: ) = p_mg(nzb+1,:,:) |
---|
| 925 | ELSE |
---|
| 926 | p_mg(nzb,:,: ) = 0.0 |
---|
| 927 | ENDIF |
---|
| 928 | |
---|
| 929 | IF ( ibc_p_t == 1 ) THEN |
---|
| 930 | p_mg(nzt_mg(l)+1,:,: ) = p_mg(nzt_mg(l),:,:) |
---|
| 931 | ELSE |
---|
| 932 | p_mg(nzt_mg(l)+1,:,: ) = 0.0 |
---|
| 933 | ENDIF |
---|
| 934 | |
---|
| 935 | ENDDO |
---|
| 936 | |
---|
| 937 | ENDDO |
---|
| 938 | |
---|
[114] | 939 | ! |
---|
| 940 | !-- Set pressure within topography and at the topography surfaces |
---|
| 941 | !$OMP PARALLEL PRIVATE (i,j,k,wall_left,wall_north,wall_right,wall_south,wall_top,wall_total) |
---|
| 942 | !$OMP DO |
---|
| 943 | DO i = nxl_mg(l), nxr_mg(l) |
---|
| 944 | DO j = nys_mg(l), nyn_mg(l) |
---|
| 945 | DO k = nzb, nzt_mg(l) |
---|
| 946 | ! |
---|
| 947 | !-- First, set pressure inside topography to zero |
---|
| 948 | p_mg(k,j,i) = p_mg(k,j,i) * ( 1.0 - IBITS( flags(k,j,i), 6, 1 ) ) |
---|
| 949 | ! |
---|
| 950 | !-- Second, determine if the gridpoint inside topography is adjacent |
---|
| 951 | !-- to a wall and set its value to a value given by the average of |
---|
| 952 | !-- those values obtained from Neumann boundary condition |
---|
| 953 | wall_left = IBITS( flags(k,j,i-1), 5, 1 ) |
---|
| 954 | wall_right = IBITS( flags(k,j,i+1), 4, 1 ) |
---|
| 955 | wall_south = IBITS( flags(k,j-1,i), 3, 1 ) |
---|
| 956 | wall_north = IBITS( flags(k,j+1,i), 2, 1 ) |
---|
| 957 | wall_top = IBITS( flags(k+1,j,i), 0, 1 ) |
---|
| 958 | wall_total = wall_left + wall_right + wall_south + wall_north + & |
---|
| 959 | wall_top |
---|
[1] | 960 | |
---|
[114] | 961 | IF ( wall_total > 0.0 ) THEN |
---|
| 962 | p_mg(k,j,i) = 1.0 / wall_total * & |
---|
| 963 | ( wall_left * p_mg(k,j,i-1) + & |
---|
| 964 | wall_right * p_mg(k,j,i+1) + & |
---|
| 965 | wall_south * p_mg(k,j-1,i) + & |
---|
| 966 | wall_north * p_mg(k,j+1,i) + & |
---|
| 967 | wall_top * p_mg(k+1,j,i) ) |
---|
| 968 | ENDIF |
---|
| 969 | ENDDO |
---|
| 970 | ENDDO |
---|
| 971 | ENDDO |
---|
| 972 | !$OMP END PARALLEL |
---|
| 973 | |
---|
| 974 | ! |
---|
| 975 | !-- One more time horizontal boundary conditions |
---|
[667] | 976 | CALL exchange_horiz( p_mg, 1) |
---|
[114] | 977 | |
---|
[778] | 978 | |
---|
[1] | 979 | END SUBROUTINE redblack |
---|
| 980 | |
---|
| 981 | |
---|
| 982 | |
---|
| 983 | SUBROUTINE mg_gather( f2, f2_sub ) |
---|
| 984 | |
---|
| 985 | USE control_parameters |
---|
| 986 | USE cpulog |
---|
| 987 | USE indices |
---|
| 988 | USE interfaces |
---|
| 989 | USE pegrid |
---|
| 990 | |
---|
| 991 | IMPLICIT NONE |
---|
| 992 | |
---|
[707] | 993 | INTEGER :: i, il, ir, j, jn, js, k, n, nwords, sender |
---|
[1] | 994 | |
---|
| 995 | REAL, DIMENSION(nzb:nzt_mg(grid_level)+1, & |
---|
| 996 | nys_mg(grid_level)-1:nyn_mg(grid_level)+1, & |
---|
| 997 | nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: f2 |
---|
| 998 | |
---|
| 999 | REAL, DIMENSION(nzb:mg_loc_ind(5,myid)+1, & |
---|
| 1000 | mg_loc_ind(3,myid)-1:mg_loc_ind(4,myid)+1, & |
---|
| 1001 | mg_loc_ind(1,myid)-1:mg_loc_ind(2,myid)+1) :: f2_sub |
---|
| 1002 | |
---|
[707] | 1003 | REAL, DIMENSION(:,:,:), ALLOCATABLE :: f2_l |
---|
[1] | 1004 | |
---|
[707] | 1005 | ALLOCATE( f2_l(nzb:nzt_mg(grid_level)+1, & |
---|
| 1006 | nys_mg(grid_level)-1:nyn_mg(grid_level)+1, & |
---|
| 1007 | nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) ) |
---|
| 1008 | |
---|
[1] | 1009 | #if defined( __parallel ) |
---|
| 1010 | CALL cpu_log( log_point_s(34), 'mg_gather', 'start' ) |
---|
| 1011 | |
---|
[707] | 1012 | f2_l = 0.0 |
---|
[1] | 1013 | |
---|
| 1014 | ! |
---|
[707] | 1015 | !-- Store the local subdomain array on the total array |
---|
| 1016 | js = mg_loc_ind(3,myid) |
---|
| 1017 | IF ( south_border_pe ) js = js - 1 |
---|
| 1018 | jn = mg_loc_ind(4,myid) |
---|
| 1019 | IF ( north_border_pe ) jn = jn + 1 |
---|
| 1020 | il = mg_loc_ind(1,myid) |
---|
| 1021 | IF ( left_border_pe ) il = il - 1 |
---|
| 1022 | ir = mg_loc_ind(2,myid) |
---|
| 1023 | IF ( right_border_pe ) ir = ir + 1 |
---|
| 1024 | DO i = il, ir |
---|
| 1025 | DO j = js, jn |
---|
| 1026 | DO k = nzb, nzt_mg(grid_level)+1 |
---|
| 1027 | f2_l(k,j,i) = f2_sub(k,j,i) |
---|
| 1028 | ENDDO |
---|
[1] | 1029 | ENDDO |
---|
[707] | 1030 | ENDDO |
---|
[1] | 1031 | |
---|
| 1032 | ! |
---|
[707] | 1033 | !-- Find out the number of array elements of the total array |
---|
| 1034 | nwords = SIZE( f2 ) |
---|
[1] | 1035 | |
---|
[707] | 1036 | ! |
---|
| 1037 | !-- Gather subdomain data from all PEs |
---|
| 1038 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
---|
| 1039 | CALL MPI_ALLREDUCE( f2_l(nzb,nys_mg(grid_level)-1,nxl_mg(grid_level)-1), & |
---|
| 1040 | f2(nzb,nys_mg(grid_level)-1,nxl_mg(grid_level)-1), & |
---|
| 1041 | nwords, MPI_REAL, MPI_SUM, comm2d, ierr ) |
---|
| 1042 | |
---|
| 1043 | DEALLOCATE( f2_l ) |
---|
| 1044 | |
---|
[1] | 1045 | CALL cpu_log( log_point_s(34), 'mg_gather', 'stop' ) |
---|
| 1046 | #endif |
---|
| 1047 | |
---|
| 1048 | END SUBROUTINE mg_gather |
---|
| 1049 | |
---|
| 1050 | |
---|
| 1051 | |
---|
| 1052 | SUBROUTINE mg_scatter( p2, p2_sub ) |
---|
| 1053 | ! |
---|
| 1054 | !-- TODO: It may be possible to improve the speed of this routine by using |
---|
| 1055 | !-- non-blocking communication |
---|
| 1056 | |
---|
| 1057 | USE control_parameters |
---|
| 1058 | USE cpulog |
---|
| 1059 | USE indices |
---|
| 1060 | USE interfaces |
---|
| 1061 | USE pegrid |
---|
| 1062 | |
---|
| 1063 | IMPLICIT NONE |
---|
| 1064 | |
---|
| 1065 | INTEGER :: n, nwords, sender |
---|
| 1066 | |
---|
| 1067 | REAL, DIMENSION(nzb:nzt_mg(grid_level-1)+1, & |
---|
| 1068 | nys_mg(grid_level-1)-1:nyn_mg(grid_level-1)+1, & |
---|
| 1069 | nxl_mg(grid_level-1)-1:nxr_mg(grid_level-1)+1) :: p2 |
---|
| 1070 | |
---|
| 1071 | REAL, DIMENSION(nzb:mg_loc_ind(5,myid)+1, & |
---|
| 1072 | mg_loc_ind(3,myid)-1:mg_loc_ind(4,myid)+1, & |
---|
| 1073 | mg_loc_ind(1,myid)-1:mg_loc_ind(2,myid)+1) :: p2_sub |
---|
| 1074 | |
---|
| 1075 | ! |
---|
| 1076 | !-- Find out the number of array elements of the subdomain array |
---|
| 1077 | nwords = SIZE( p2_sub ) |
---|
| 1078 | |
---|
| 1079 | #if defined( __parallel ) |
---|
| 1080 | CALL cpu_log( log_point_s(35), 'mg_scatter', 'start' ) |
---|
| 1081 | |
---|
[707] | 1082 | p2_sub = p2(:,mg_loc_ind(3,myid)-1:mg_loc_ind(4,myid)+1, & |
---|
| 1083 | mg_loc_ind(1,myid)-1:mg_loc_ind(2,myid)+1) |
---|
[1] | 1084 | |
---|
| 1085 | CALL cpu_log( log_point_s(35), 'mg_scatter', 'stop' ) |
---|
| 1086 | #endif |
---|
| 1087 | |
---|
| 1088 | END SUBROUTINE mg_scatter |
---|
| 1089 | |
---|
| 1090 | |
---|
| 1091 | |
---|
| 1092 | RECURSIVE SUBROUTINE next_mg_level( f_mg, p_mg, p3, r ) |
---|
| 1093 | |
---|
| 1094 | !------------------------------------------------------------------------------! |
---|
| 1095 | ! Description: |
---|
| 1096 | ! ------------ |
---|
| 1097 | ! This is where the multigrid technique takes place. V- and W- Cycle are |
---|
| 1098 | ! implemented and steered by the parameter "gamma". Parameter "nue" determines |
---|
| 1099 | ! the convergence of the multigrid iterative solution. There are nue times |
---|
| 1100 | ! RB-GS iterations. It should be set to "1" or "2", considering the time effort |
---|
| 1101 | ! one would like to invest. Last choice shows a very good converging factor, |
---|
| 1102 | ! but leads to an increase in computing time. |
---|
| 1103 | !------------------------------------------------------------------------------! |
---|
| 1104 | |
---|
| 1105 | USE arrays_3d |
---|
| 1106 | USE control_parameters |
---|
| 1107 | USE grid_variables |
---|
| 1108 | USE indices |
---|
| 1109 | USE pegrid |
---|
| 1110 | |
---|
| 1111 | IMPLICIT NONE |
---|
| 1112 | |
---|
| 1113 | INTEGER :: i, j, k, nxl_mg_save, nxr_mg_save, nyn_mg_save, nys_mg_save, & |
---|
| 1114 | nzt_mg_save |
---|
| 1115 | |
---|
| 1116 | REAL, DIMENSION(nzb:nzt_mg(grid_level)+1, & |
---|
| 1117 | nys_mg(grid_level)-1:nyn_mg(grid_level)+1, & |
---|
| 1118 | nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: f_mg, p_mg, p3, r |
---|
| 1119 | |
---|
| 1120 | REAL, DIMENSION(:,:,:), ALLOCATABLE :: f2, f2_sub, p2, p2_sub |
---|
| 1121 | |
---|
[778] | 1122 | |
---|
[1] | 1123 | ! |
---|
| 1124 | !-- Restriction to the coarsest grid |
---|
| 1125 | 10 IF ( grid_level == 1 ) THEN |
---|
| 1126 | |
---|
| 1127 | ! |
---|
| 1128 | !-- Solution on the coarsest grid. Double the number of Gauss-Seidel |
---|
| 1129 | !-- iterations in order to get a more accurate solution. |
---|
| 1130 | ngsrb = 2 * ngsrb |
---|
[778] | 1131 | |
---|
[1] | 1132 | CALL redblack( f_mg, p_mg ) |
---|
[778] | 1133 | |
---|
[1] | 1134 | ngsrb = ngsrb / 2 |
---|
| 1135 | |
---|
[778] | 1136 | |
---|
[1] | 1137 | ELSEIF ( grid_level /= 1 ) THEN |
---|
| 1138 | |
---|
| 1139 | grid_level_count(grid_level) = grid_level_count(grid_level) + 1 |
---|
| 1140 | |
---|
| 1141 | ! |
---|
| 1142 | !-- Solution on the actual grid level |
---|
| 1143 | CALL redblack( f_mg, p_mg ) |
---|
| 1144 | |
---|
| 1145 | ! |
---|
| 1146 | !-- Determination of the actual residual |
---|
| 1147 | CALL resid( f_mg, p_mg, r ) |
---|
| 1148 | |
---|
| 1149 | ! |
---|
| 1150 | !-- Restriction of the residual (finer grid values!) to the next coarser |
---|
| 1151 | !-- grid. Therefore, the grid level has to be decremented now. nxl..nzt have |
---|
| 1152 | !-- to be set to the coarse grid values, because these variables are needed |
---|
| 1153 | !-- for the exchange of ghost points in routine exchange_horiz |
---|
| 1154 | grid_level = grid_level - 1 |
---|
| 1155 | nxl = nxl_mg(grid_level) |
---|
[778] | 1156 | nys = nys_mg(grid_level) |
---|
[1] | 1157 | nxr = nxr_mg(grid_level) |
---|
| 1158 | nyn = nyn_mg(grid_level) |
---|
| 1159 | nzt = nzt_mg(grid_level) |
---|
| 1160 | |
---|
| 1161 | ALLOCATE( f2(nzb:nzt_mg(grid_level)+1, & |
---|
| 1162 | nys_mg(grid_level)-1:nyn_mg(grid_level)+1, & |
---|
| 1163 | nxl_mg(grid_level)-1:nxr_mg(grid_level)+1), & |
---|
| 1164 | p2(nzb:nzt_mg(grid_level)+1, & |
---|
| 1165 | nys_mg(grid_level)-1:nyn_mg(grid_level)+1, & |
---|
| 1166 | nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) ) |
---|
| 1167 | |
---|
| 1168 | IF ( grid_level == mg_switch_to_pe0_level ) THEN |
---|
[778] | 1169 | |
---|
[1] | 1170 | ! |
---|
| 1171 | !-- From this level on, calculations are done on PE0 only. |
---|
| 1172 | !-- First, carry out restriction on the subdomain. |
---|
| 1173 | !-- Therefore, indices of the level have to be changed to subdomain values |
---|
| 1174 | !-- in between (otherwise, the restrict routine would expect |
---|
| 1175 | !-- the gathered array) |
---|
[778] | 1176 | |
---|
[1] | 1177 | nxl_mg_save = nxl_mg(grid_level) |
---|
| 1178 | nxr_mg_save = nxr_mg(grid_level) |
---|
| 1179 | nys_mg_save = nys_mg(grid_level) |
---|
| 1180 | nyn_mg_save = nyn_mg(grid_level) |
---|
| 1181 | nzt_mg_save = nzt_mg(grid_level) |
---|
| 1182 | nxl_mg(grid_level) = mg_loc_ind(1,myid) |
---|
| 1183 | nxr_mg(grid_level) = mg_loc_ind(2,myid) |
---|
| 1184 | nys_mg(grid_level) = mg_loc_ind(3,myid) |
---|
| 1185 | nyn_mg(grid_level) = mg_loc_ind(4,myid) |
---|
| 1186 | nzt_mg(grid_level) = mg_loc_ind(5,myid) |
---|
| 1187 | nxl = mg_loc_ind(1,myid) |
---|
| 1188 | nxr = mg_loc_ind(2,myid) |
---|
| 1189 | nys = mg_loc_ind(3,myid) |
---|
| 1190 | nyn = mg_loc_ind(4,myid) |
---|
| 1191 | nzt = mg_loc_ind(5,myid) |
---|
| 1192 | |
---|
| 1193 | ALLOCATE( f2_sub(nzb:nzt_mg(grid_level)+1, & |
---|
| 1194 | nys_mg(grid_level)-1:nyn_mg(grid_level)+1, & |
---|
| 1195 | nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) ) |
---|
| 1196 | |
---|
| 1197 | CALL restrict( f2_sub, r ) |
---|
| 1198 | |
---|
| 1199 | ! |
---|
| 1200 | !-- Restore the correct indices of this level |
---|
| 1201 | nxl_mg(grid_level) = nxl_mg_save |
---|
| 1202 | nxr_mg(grid_level) = nxr_mg_save |
---|
| 1203 | nys_mg(grid_level) = nys_mg_save |
---|
| 1204 | nyn_mg(grid_level) = nyn_mg_save |
---|
| 1205 | nzt_mg(grid_level) = nzt_mg_save |
---|
| 1206 | nxl = nxl_mg(grid_level) |
---|
| 1207 | nxr = nxr_mg(grid_level) |
---|
| 1208 | nys = nys_mg(grid_level) |
---|
| 1209 | nyn = nyn_mg(grid_level) |
---|
| 1210 | nzt = nzt_mg(grid_level) |
---|
| 1211 | ! |
---|
| 1212 | !-- Gather all arrays from the subdomains on PE0 |
---|
| 1213 | CALL mg_gather( f2, f2_sub ) |
---|
| 1214 | |
---|
| 1215 | ! |
---|
| 1216 | !-- Set switch for routine exchange_horiz, that no ghostpoint exchange |
---|
| 1217 | !-- has to be carried out from now on |
---|
| 1218 | mg_switch_to_pe0 = .TRUE. |
---|
| 1219 | |
---|
| 1220 | ! |
---|
| 1221 | !-- In case of non-cyclic lateral boundary conditions, both in- and |
---|
[707] | 1222 | !-- outflow conditions have to be used on all PEs after the switch, |
---|
| 1223 | !-- because then they have the total domain. |
---|
| 1224 | IF ( bc_lr_dirrad ) THEN |
---|
| 1225 | inflow_l = .TRUE. |
---|
| 1226 | inflow_r = .FALSE. |
---|
| 1227 | outflow_l = .FALSE. |
---|
| 1228 | outflow_r = .TRUE. |
---|
| 1229 | ELSEIF ( bc_lr_raddir ) THEN |
---|
| 1230 | inflow_l = .FALSE. |
---|
| 1231 | inflow_r = .TRUE. |
---|
| 1232 | outflow_l = .TRUE. |
---|
| 1233 | outflow_r = .FALSE. |
---|
[1] | 1234 | ENDIF |
---|
| 1235 | |
---|
[707] | 1236 | IF ( bc_ns_dirrad ) THEN |
---|
| 1237 | inflow_n = .TRUE. |
---|
| 1238 | inflow_s = .FALSE. |
---|
| 1239 | outflow_n = .FALSE. |
---|
| 1240 | outflow_s = .TRUE. |
---|
| 1241 | ELSEIF ( bc_ns_raddir ) THEN |
---|
| 1242 | inflow_n = .FALSE. |
---|
| 1243 | inflow_s = .TRUE. |
---|
| 1244 | outflow_n = .TRUE. |
---|
| 1245 | outflow_s = .FALSE. |
---|
| 1246 | ENDIF |
---|
| 1247 | |
---|
[1] | 1248 | DEALLOCATE( f2_sub ) |
---|
| 1249 | |
---|
| 1250 | ELSE |
---|
| 1251 | CALL restrict( f2, r ) |
---|
| 1252 | |
---|
| 1253 | ENDIF |
---|
[707] | 1254 | |
---|
[1] | 1255 | p2 = 0.0 |
---|
| 1256 | |
---|
| 1257 | ! |
---|
| 1258 | !-- Repeat the same procedure till the coarsest grid is reached |
---|
[707] | 1259 | CALL next_mg_level( f2, p2, p3, r ) |
---|
[1] | 1260 | |
---|
| 1261 | ENDIF |
---|
| 1262 | |
---|
| 1263 | ! |
---|
| 1264 | !-- Now follows the prolongation |
---|
| 1265 | IF ( grid_level >= 2 ) THEN |
---|
| 1266 | |
---|
| 1267 | ! |
---|
| 1268 | !-- Prolongation of the new residual. The values are transferred |
---|
| 1269 | !-- from the coarse to the next finer grid. |
---|
| 1270 | IF ( grid_level == mg_switch_to_pe0_level+1 ) THEN |
---|
| 1271 | ! |
---|
| 1272 | !-- At this level, the new residual first has to be scattered from |
---|
| 1273 | !-- PE0 to the other PEs |
---|
| 1274 | ALLOCATE( p2_sub(nzb:mg_loc_ind(5,myid)+1, & |
---|
| 1275 | mg_loc_ind(3,myid)-1:mg_loc_ind(4,myid)+1, & |
---|
| 1276 | mg_loc_ind(1,myid)-1:mg_loc_ind(2,myid)+1) ) |
---|
| 1277 | |
---|
| 1278 | CALL mg_scatter( p2, p2_sub ) |
---|
| 1279 | |
---|
| 1280 | ! |
---|
| 1281 | !-- Therefore, indices of the previous level have to be changed to |
---|
| 1282 | !-- subdomain values in between (otherwise, the prolong routine would |
---|
| 1283 | !-- expect the gathered array) |
---|
| 1284 | nxl_mg_save = nxl_mg(grid_level-1) |
---|
| 1285 | nxr_mg_save = nxr_mg(grid_level-1) |
---|
| 1286 | nys_mg_save = nys_mg(grid_level-1) |
---|
| 1287 | nyn_mg_save = nyn_mg(grid_level-1) |
---|
| 1288 | nzt_mg_save = nzt_mg(grid_level-1) |
---|
| 1289 | nxl_mg(grid_level-1) = mg_loc_ind(1,myid) |
---|
| 1290 | nxr_mg(grid_level-1) = mg_loc_ind(2,myid) |
---|
| 1291 | nys_mg(grid_level-1) = mg_loc_ind(3,myid) |
---|
| 1292 | nyn_mg(grid_level-1) = mg_loc_ind(4,myid) |
---|
| 1293 | nzt_mg(grid_level-1) = mg_loc_ind(5,myid) |
---|
| 1294 | |
---|
| 1295 | ! |
---|
| 1296 | !-- Set switch for routine exchange_horiz, that ghostpoint exchange |
---|
| 1297 | !-- has to be carried again out from now on |
---|
| 1298 | mg_switch_to_pe0 = .FALSE. |
---|
| 1299 | |
---|
| 1300 | ! |
---|
[707] | 1301 | !-- For non-cyclic lateral boundary conditions, restore the |
---|
| 1302 | !-- in-/outflow conditions |
---|
| 1303 | inflow_l = .FALSE.; inflow_r = .FALSE. |
---|
| 1304 | inflow_n = .FALSE.; inflow_s = .FALSE. |
---|
| 1305 | outflow_l = .FALSE.; outflow_r = .FALSE. |
---|
| 1306 | outflow_n = .FALSE.; outflow_s = .FALSE. |
---|
| 1307 | |
---|
| 1308 | IF ( pleft == MPI_PROC_NULL ) THEN |
---|
| 1309 | IF ( bc_lr_dirrad ) THEN |
---|
| 1310 | inflow_l = .TRUE. |
---|
| 1311 | ELSEIF ( bc_lr_raddir ) THEN |
---|
| 1312 | outflow_l = .TRUE. |
---|
[1] | 1313 | ENDIF |
---|
[707] | 1314 | ENDIF |
---|
| 1315 | |
---|
| 1316 | IF ( pright == MPI_PROC_NULL ) THEN |
---|
| 1317 | IF ( bc_lr_dirrad ) THEN |
---|
| 1318 | outflow_r = .TRUE. |
---|
| 1319 | ELSEIF ( bc_lr_raddir ) THEN |
---|
| 1320 | inflow_r = .TRUE. |
---|
[1] | 1321 | ENDIF |
---|
| 1322 | ENDIF |
---|
| 1323 | |
---|
[707] | 1324 | IF ( psouth == MPI_PROC_NULL ) THEN |
---|
| 1325 | IF ( bc_ns_dirrad ) THEN |
---|
| 1326 | outflow_s = .TRUE. |
---|
| 1327 | ELSEIF ( bc_ns_raddir ) THEN |
---|
| 1328 | inflow_s = .TRUE. |
---|
| 1329 | ENDIF |
---|
| 1330 | ENDIF |
---|
| 1331 | |
---|
| 1332 | IF ( pnorth == MPI_PROC_NULL ) THEN |
---|
| 1333 | IF ( bc_ns_dirrad ) THEN |
---|
| 1334 | inflow_n = .TRUE. |
---|
| 1335 | ELSEIF ( bc_ns_raddir ) THEN |
---|
| 1336 | outflow_n = .TRUE. |
---|
| 1337 | ENDIF |
---|
| 1338 | ENDIF |
---|
| 1339 | |
---|
[1] | 1340 | CALL prolong( p2_sub, p3 ) |
---|
| 1341 | |
---|
| 1342 | ! |
---|
| 1343 | !-- Restore the correct indices of the previous level |
---|
| 1344 | nxl_mg(grid_level-1) = nxl_mg_save |
---|
| 1345 | nxr_mg(grid_level-1) = nxr_mg_save |
---|
| 1346 | nys_mg(grid_level-1) = nys_mg_save |
---|
| 1347 | nyn_mg(grid_level-1) = nyn_mg_save |
---|
| 1348 | nzt_mg(grid_level-1) = nzt_mg_save |
---|
| 1349 | |
---|
| 1350 | DEALLOCATE( p2_sub ) |
---|
| 1351 | |
---|
| 1352 | ELSE |
---|
| 1353 | CALL prolong( p2, p3 ) |
---|
| 1354 | |
---|
| 1355 | ENDIF |
---|
| 1356 | |
---|
| 1357 | ! |
---|
| 1358 | !-- Temporary arrays for the actual grid are not needed any more |
---|
| 1359 | DEALLOCATE( p2, f2 ) |
---|
| 1360 | |
---|
| 1361 | ! |
---|
| 1362 | !-- Computation of the new pressure correction. Therefore, |
---|
| 1363 | !-- values from prior grids are added up automatically stage by stage. |
---|
| 1364 | DO i = nxl_mg(grid_level)-1, nxr_mg(grid_level)+1 |
---|
| 1365 | DO j = nys_mg(grid_level)-1, nyn_mg(grid_level)+1 |
---|
| 1366 | DO k = nzb, nzt_mg(grid_level)+1 |
---|
| 1367 | p_mg(k,j,i) = p_mg(k,j,i) + p3(k,j,i) |
---|
| 1368 | ENDDO |
---|
| 1369 | ENDDO |
---|
| 1370 | ENDDO |
---|
| 1371 | |
---|
| 1372 | ! |
---|
| 1373 | !-- Relaxation of the new solution |
---|
| 1374 | CALL redblack( f_mg, p_mg ) |
---|
| 1375 | |
---|
| 1376 | ENDIF |
---|
| 1377 | |
---|
[778] | 1378 | |
---|
[1] | 1379 | ! |
---|
| 1380 | !-- The following few lines serve the steering of the multigrid scheme |
---|
| 1381 | IF ( grid_level == maximum_grid_level ) THEN |
---|
| 1382 | |
---|
| 1383 | GOTO 20 |
---|
| 1384 | |
---|
| 1385 | ELSEIF ( grid_level /= maximum_grid_level .AND. grid_level /= 1 .AND. & |
---|
| 1386 | grid_level_count(grid_level) /= gamma_mg ) THEN |
---|
| 1387 | |
---|
| 1388 | GOTO 10 |
---|
| 1389 | |
---|
| 1390 | ENDIF |
---|
| 1391 | |
---|
| 1392 | ! |
---|
| 1393 | !-- Reset counter for the next call of poismg |
---|
| 1394 | grid_level_count(grid_level) = 0 |
---|
| 1395 | |
---|
| 1396 | ! |
---|
| 1397 | !-- Continue with the next finer level. nxl..nzt have to be |
---|
| 1398 | !-- set to the finer grid values, because these variables are needed for the |
---|
| 1399 | !-- exchange of ghost points in routine exchange_horiz |
---|
| 1400 | grid_level = grid_level + 1 |
---|
| 1401 | nxl = nxl_mg(grid_level) |
---|
| 1402 | nxr = nxr_mg(grid_level) |
---|
| 1403 | nys = nys_mg(grid_level) |
---|
| 1404 | nyn = nyn_mg(grid_level) |
---|
| 1405 | nzt = nzt_mg(grid_level) |
---|
| 1406 | |
---|
| 1407 | 20 CONTINUE |
---|
| 1408 | |
---|
| 1409 | END SUBROUTINE next_mg_level |
---|