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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5 | ! still does not give the expected speedup! Further work required. |
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6 | ! |
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7 | ! Current revisions: |
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8 | ! ----------------- |
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9 | ! |
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10 | ! |
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11 | ! Former revisions: |
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12 | ! ----------------- |
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13 | ! $Id: poismg.f90 779 2011-11-07 14:30:01Z maronga $ |
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14 | ! |
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15 | ! 778 2011-11-07 14:18:25Z fricke |
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16 | ! Allocation of p3 changes when multigrid is used and the collected field on PE0 |
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17 | ! has more grid points than the subdomain of an PE. |
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18 | ! |
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19 | ! 707 2011-03-29 11:39:40Z raasch |
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20 | ! p_loc is used instead of p in the main routine (poismg). |
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21 | ! On coarse grid levels, gathered data are identically processed on all PEs |
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22 | ! (before, on PE0 only), so that the subsequent scattering of data is not |
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23 | ! neccessary any more. |
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24 | ! bc_lr/ns replaced by bc_lr/ns_cyc/dirrad/raddir |
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25 | ! Bugfix: bottom (nzb) and top (nzt+1) boundary conditions set in routines |
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26 | ! resid and restrict. They were missed before which may have led to |
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27 | ! unpredictable results. |
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28 | ! |
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29 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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30 | ! Calls of exchange_horiz are modified. |
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31 | ! |
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32 | ! 622 2010-12-10 08:08:13Z raasch |
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33 | ! optional barriers included in order to speed up collective operations |
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34 | ! |
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35 | ! 257 2009-03-11 15:17:42Z heinze |
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36 | ! Output of messages replaced by message handling routine. |
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37 | ! |
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38 | ! 181 2008-07-30 07:07:47Z raasch |
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39 | ! Bugfix: grid_level+1 has to be used in restrict for flags-array |
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40 | ! |
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41 | ! 114 2007-10-10 00:03:15Z raasch |
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42 | ! Boundary conditions at walls are implicitly set using flag arrays. Only |
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43 | ! Neumann BC is allowed. Upper walls are still not realized. |
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44 | ! Bottom and top BCs for array f_mg in restrict removed because boundary |
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45 | ! values are not needed (right hand side of SOR iteration). |
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46 | ! |
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47 | ! 75 2007-03-22 09:54:05Z raasch |
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48 | ! 2nd+3rd argument removed from exchange horiz |
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49 | ! |
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50 | ! RCS Log replace by Id keyword, revision history cleaned up |
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51 | ! |
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52 | ! Revision 1.6 2005/03/26 20:55:54 raasch |
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53 | ! Implementation of non-cyclic (Neumann) horizontal boundary conditions, |
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54 | ! routine prolong simplified (one call of exchange_horiz spared) |
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55 | ! |
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56 | ! Revision 1.1 2001/07/20 13:10:51 raasch |
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57 | ! Initial revision |
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58 | ! |
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59 | ! |
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60 | ! Description: |
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61 | ! ------------ |
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62 | ! Solves the Poisson equation for the perturbation pressure with a multigrid |
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63 | ! V- or W-Cycle scheme. |
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64 | ! |
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65 | ! This multigrid method was originally developed for PALM by Joerg Uhlenbrock, |
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66 | ! September 2000 - July 2001. |
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67 | !------------------------------------------------------------------------------! |
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68 | |
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69 | USE arrays_3d |
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70 | USE control_parameters |
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71 | USE cpulog |
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72 | USE grid_variables |
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73 | USE indices |
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74 | USE interfaces |
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75 | USE pegrid |
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76 | |
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77 | IMPLICIT NONE |
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78 | |
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79 | REAL :: maxerror, maximum_mgcycles, residual_norm |
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80 | |
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81 | REAL, DIMENSION(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) :: r |
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82 | |
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83 | REAL, DIMENSION(:,:,:), ALLOCATABLE :: p3 |
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84 | |
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85 | |
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86 | CALL cpu_log( log_point_s(29), 'poismg', 'start' ) |
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87 | ! |
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88 | !-- Initialize arrays and variables used in this subroutine |
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89 | |
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90 | !-- If the number of grid points of the gathered grid, which is collected |
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91 | !-- on PE0, is larger than the number of grid points of an PE, than array |
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92 | !-- p3 will be enlarged. |
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93 | IF ( gathered_size > subdomain_size ) THEN |
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94 | ALLOCATE( p3(nzb:nzt_mg(mg_switch_to_pe0_level)+1,nys_mg( & |
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95 | mg_switch_to_pe0_level)-1:nyn_mg(mg_switch_to_pe0_level)+1, & |
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96 | nxl_mg(mg_switch_to_pe0_level)-1:nxr_mg( & |
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97 | mg_switch_to_pe0_level)+1) ) |
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98 | ELSE |
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99 | ALLOCATE ( p3(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) ) |
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100 | ENDIF |
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101 | ! |
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102 | !-- Ghost boundaries have to be added to divergence array. |
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103 | !-- Exchange routine needs to know the grid level! |
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104 | grid_level = maximum_grid_level |
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105 | CALL exchange_horiz( d, 1) |
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106 | d(nzb,:,:) = d(nzb+1,:,:) |
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107 | |
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108 | ! |
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109 | !-- Initiation of the multigrid scheme. Does n cycles until the |
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110 | !-- residual is smaller than the given limit. The accuracy of the solution |
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111 | !-- of the poisson equation will increase with the number of cycles. |
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112 | !-- If the number of cycles is preset by the user, this number will be |
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113 | !-- carried out regardless of the accuracy. |
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114 | grid_level_count = 0 |
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115 | mgcycles = 0 |
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116 | IF ( mg_cycles == -1 ) THEN |
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117 | maximum_mgcycles = 0 |
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118 | residual_norm = 1.0 |
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119 | ELSE |
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120 | maximum_mgcycles = mg_cycles |
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121 | residual_norm = 0.0 |
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122 | ENDIF |
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123 | |
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124 | DO WHILE ( residual_norm > residual_limit .OR. & |
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125 | mgcycles < maximum_mgcycles ) |
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126 | |
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127 | CALL next_mg_level( d, p_loc, p3, r) |
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128 | |
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129 | ! |
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130 | !-- Calculate the residual if the user has not preset the number of |
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131 | !-- cycles to be performed |
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132 | IF ( maximum_mgcycles == 0 ) THEN |
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133 | CALL resid( d, p_loc, r ) |
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134 | maxerror = SUM( r(nzb+1:nzt,nys:nyn,nxl:nxr)**2 ) |
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135 | |
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136 | #if defined( __parallel ) |
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137 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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138 | CALL MPI_ALLREDUCE( maxerror, residual_norm, 1, MPI_REAL, MPI_SUM, & |
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139 | comm2d, ierr) |
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140 | #else |
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141 | residual_norm = maxerror |
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142 | #endif |
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143 | residual_norm = SQRT( residual_norm ) |
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144 | ENDIF |
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145 | |
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146 | mgcycles = mgcycles + 1 |
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147 | |
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148 | ! |
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149 | !-- If the user has not limited the number of cycles, stop the run in case |
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150 | !-- of insufficient convergence |
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151 | IF ( mgcycles > 1000 .AND. mg_cycles == -1 ) THEN |
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152 | message_string = 'no sufficient convergence within 1000 cycles' |
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153 | CALL message( 'poismg', 'PA0283', 1, 2, 0, 6, 0 ) |
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154 | ENDIF |
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155 | |
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156 | ENDDO |
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157 | |
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158 | DEALLOCATE( p3 ) |
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159 | |
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160 | ! |
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161 | !-- Unset the grid level. Variable is used to determine the MPI datatypes for |
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162 | !-- ghost point exchange |
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163 | grid_level = 0 |
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164 | |
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165 | CALL cpu_log( log_point_s(29), 'poismg', 'stop' ) |
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166 | |
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167 | END SUBROUTINE poismg |
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168 | |
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169 | |
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170 | |
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171 | SUBROUTINE resid( f_mg, p_mg, r ) |
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172 | |
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173 | !------------------------------------------------------------------------------! |
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174 | ! Description: |
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175 | ! ------------ |
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176 | ! Computes the residual of the perturbation pressure. |
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177 | !------------------------------------------------------------------------------! |
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178 | |
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179 | USE arrays_3d |
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180 | USE control_parameters |
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181 | USE grid_variables |
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182 | USE indices |
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183 | USE pegrid |
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184 | |
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185 | IMPLICIT NONE |
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186 | |
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187 | INTEGER :: i, j, k, l |
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188 | |
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189 | REAL, DIMENSION(nzb:nzt_mg(grid_level)+1, & |
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190 | nys_mg(grid_level)-1:nyn_mg(grid_level)+1, & |
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191 | nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: f_mg, p_mg, r |
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192 | |
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193 | ! |
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194 | !-- Calculate the residual |
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195 | l = grid_level |
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196 | |
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197 | ! |
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198 | !-- Choose flag array of this level |
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199 | SELECT CASE ( l ) |
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200 | CASE ( 1 ) |
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201 | flags => wall_flags_1 |
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202 | CASE ( 2 ) |
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203 | flags => wall_flags_2 |
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204 | CASE ( 3 ) |
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205 | flags => wall_flags_3 |
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206 | CASE ( 4 ) |
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207 | flags => wall_flags_4 |
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208 | CASE ( 5 ) |
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209 | flags => wall_flags_5 |
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210 | CASE ( 6 ) |
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211 | flags => wall_flags_6 |
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212 | CASE ( 7 ) |
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213 | flags => wall_flags_7 |
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214 | CASE ( 8 ) |
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215 | flags => wall_flags_8 |
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216 | CASE ( 9 ) |
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217 | flags => wall_flags_9 |
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218 | CASE ( 10 ) |
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219 | flags => wall_flags_10 |
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220 | END SELECT |
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221 | |
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222 | !$OMP PARALLEL PRIVATE (i,j,k) |
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223 | !$OMP DO |
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224 | DO i = nxl_mg(l), nxr_mg(l) |
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225 | DO j = nys_mg(l), nyn_mg(l) |
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226 | DO k = nzb+1, nzt_mg(l) |
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227 | r(k,j,i) = f_mg(k,j,i) & |
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228 | - ddx2_mg(l) * & |
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229 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
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230 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
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231 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
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232 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
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233 | - ddy2_mg(l) * & |
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234 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
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235 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
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236 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
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237 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
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238 | - f2_mg(k,l) * p_mg(k+1,j,i) & |
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239 | - f3_mg(k,l) * & |
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240 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
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241 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
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242 | + f1_mg(k,l) * p_mg(k,j,i) |
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243 | ! |
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244 | !-- Residual within topography should be zero |
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245 | r(k,j,i) = r(k,j,i) * ( 1.0 - IBITS( flags(k,j,i), 6, 1 ) ) |
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246 | ENDDO |
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247 | ENDDO |
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248 | ENDDO |
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249 | !$OMP END PARALLEL |
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250 | |
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251 | ! |
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252 | !-- Horizontal boundary conditions |
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253 | CALL exchange_horiz( r, 1) |
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254 | |
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255 | IF ( .NOT. bc_lr_cyc ) THEN |
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256 | IF ( inflow_l .OR. outflow_l ) r(:,:,nxl_mg(l)-1) = r(:,:,nxl_mg(l)) |
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257 | IF ( inflow_r .OR. outflow_r ) r(:,:,nxr_mg(l)+1) = r(:,:,nxr_mg(l)) |
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258 | ENDIF |
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259 | |
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260 | IF ( .NOT. bc_ns_cyc ) THEN |
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261 | IF ( inflow_n .OR. outflow_n ) r(:,nyn_mg(l)+1,:) = r(:,nyn_mg(l),:) |
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262 | IF ( inflow_s .OR. outflow_s ) r(:,nys_mg(l)-1,:) = r(:,nys_mg(l),:) |
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263 | ENDIF |
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264 | |
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265 | ! |
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266 | !-- Boundary conditions at bottom and top of the domain. |
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267 | !-- These points are not handled by the above loop. Points may be within |
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268 | !-- buildings, but that doesn't matter. |
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269 | IF ( ibc_p_b == 1 ) THEN |
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270 | r(nzb,:,: ) = r(nzb+1,:,:) |
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271 | ELSE |
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272 | r(nzb,:,: ) = 0.0 |
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273 | ENDIF |
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274 | |
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275 | IF ( ibc_p_t == 1 ) THEN |
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276 | r(nzt_mg(l)+1,:,: ) = r(nzt_mg(l),:,:) |
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277 | ELSE |
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278 | r(nzt_mg(l)+1,:,: ) = 0.0 |
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279 | ENDIF |
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280 | |
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281 | |
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282 | END SUBROUTINE resid |
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283 | |
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284 | |
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285 | |
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286 | SUBROUTINE restrict( f_mg, r ) |
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287 | |
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288 | !------------------------------------------------------------------------------! |
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289 | ! Description: |
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290 | ! ------------ |
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291 | ! Interpolates the residual on the next coarser grid with "full weighting" |
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292 | ! scheme |
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293 | !------------------------------------------------------------------------------! |
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294 | |
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295 | USE control_parameters |
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296 | USE grid_variables |
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297 | USE indices |
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298 | USE pegrid |
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299 | |
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300 | IMPLICIT NONE |
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301 | |
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302 | INTEGER :: i, ic, j, jc, k, kc, l |
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303 | |
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304 | REAL :: rkjim, rkjip, rkjmi, rkjmim, rkjmip, rkjpi, rkjpim, rkjpip, & |
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305 | rkmji, rkmjim, rkmjip, rkmjmi, rkmjmim, rkmjmip, rkmjpi, rkmjpim, & |
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306 | rkmjpip |
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307 | |
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308 | REAL, DIMENSION(nzb:nzt_mg(grid_level)+1, & |
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309 | nys_mg(grid_level)-1:nyn_mg(grid_level)+1, & |
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310 | nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: f_mg |
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311 | |
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312 | REAL, DIMENSION(nzb:nzt_mg(grid_level+1)+1, & |
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313 | nys_mg(grid_level+1)-1:nyn_mg(grid_level+1)+1, & |
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314 | nxl_mg(grid_level+1)-1:nxr_mg(grid_level+1)+1) :: r |
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315 | |
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316 | ! |
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317 | !-- Interpolate the residual |
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318 | l = grid_level |
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319 | |
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320 | ! |
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321 | !-- Choose flag array of the upper level |
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322 | SELECT CASE ( l+1 ) |
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323 | CASE ( 1 ) |
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324 | flags => wall_flags_1 |
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325 | CASE ( 2 ) |
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326 | flags => wall_flags_2 |
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327 | CASE ( 3 ) |
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328 | flags => wall_flags_3 |
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329 | CASE ( 4 ) |
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330 | flags => wall_flags_4 |
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331 | CASE ( 5 ) |
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332 | flags => wall_flags_5 |
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333 | CASE ( 6 ) |
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334 | flags => wall_flags_6 |
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335 | CASE ( 7 ) |
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336 | flags => wall_flags_7 |
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337 | CASE ( 8 ) |
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338 | flags => wall_flags_8 |
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339 | CASE ( 9 ) |
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340 | flags => wall_flags_9 |
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341 | CASE ( 10 ) |
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342 | flags => wall_flags_10 |
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343 | END SELECT |
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344 | |
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345 | !$OMP PARALLEL PRIVATE (i,j,k,ic,jc,kc) |
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346 | !$OMP DO |
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347 | DO ic = nxl_mg(l), nxr_mg(l) |
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348 | i = 2*ic |
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349 | DO jc = nys_mg(l), nyn_mg(l) |
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350 | j = 2*jc |
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351 | DO kc = nzb+1, nzt_mg(l) |
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352 | k = 2*kc-1 |
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353 | ! |
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354 | !-- Use implicit Neumann BCs if the respective gridpoint is inside |
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355 | !-- the building |
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356 | rkjim = r(k,j,i-1) + IBITS( flags(k,j,i-1), 6, 1 ) * & |
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357 | ( r(k,j,i) - r(k,j,i-1) ) |
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358 | rkjip = r(k,j,i+1) + IBITS( flags(k,j,i+1), 6, 1 ) * & |
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359 | ( r(k,j,i) - r(k,j,i+1) ) |
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360 | rkjpi = r(k,j+1,i) + IBITS( flags(k,j+1,i), 6, 1 ) * & |
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361 | ( r(k,j,i) - r(k,j+1,i) ) |
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362 | rkjmi = r(k,j-1,i) + IBITS( flags(k,j-1,i), 6, 1 ) * & |
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363 | ( r(k,j,i) - r(k,j-1,i) ) |
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364 | rkjmim = r(k,j-1,i-1) + IBITS( flags(k,j-1,i-1), 6, 1 ) * & |
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365 | ( r(k,j,i) - r(k,j-1,i-1) ) |
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366 | rkjpim = r(k,j+1,i-1) + IBITS( flags(k,j+1,i-1), 6, 1 ) * & |
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367 | ( r(k,j,i) - r(k,j+1,i-1) ) |
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368 | rkjmip = r(k,j-1,i+1) + IBITS( flags(k,j-1,i+1), 6, 1 ) * & |
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369 | ( r(k,j,i) - r(k,j-1,i+1) ) |
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370 | rkjpip = r(k,j+1,i+1) + IBITS( flags(k,j+1,i+1), 6, 1 ) * & |
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371 | ( r(k,j,i) - r(k,j+1,i+1) ) |
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372 | rkmji = r(k-1,j,i) + IBITS( flags(k-1,j,i), 6, 1 ) * & |
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373 | ( r(k,j,i) - r(k-1,j,i) ) |
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374 | rkmjim = r(k-1,j,i-1) + IBITS( flags(k-1,j,i-1), 6, 1 ) * & |
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375 | ( r(k,j,i) - r(k-1,j,i-1) ) |
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376 | rkmjip = r(k-1,j,i+1) + IBITS( flags(k-1,j,i+1), 6, 1 ) * & |
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377 | ( r(k,j,i) - r(k-1,j,i+1) ) |
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378 | rkmjpi = r(k-1,j+1,i) + IBITS( flags(k-1,j+1,i), 6, 1 ) * & |
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379 | ( r(k,j,i) - r(k-1,j+1,i) ) |
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380 | rkmjmi = r(k-1,j-1,i) + IBITS( flags(k-1,j-1,i), 6, 1 ) * & |
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381 | ( r(k,j,i) - r(k-1,j-1,i) ) |
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382 | rkmjmim = r(k-1,j-1,i-1) + IBITS( flags(k-1,j-1,i-1), 6, 1 ) * & |
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383 | ( r(k,j,i) - r(k-1,j-1,i-1) ) |
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384 | rkmjpim = r(k-1,j+1,i-1) + IBITS( flags(k-1,j+1,i-1), 6, 1 ) * & |
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385 | ( r(k,j,i) - r(k-1,j+1,i-1) ) |
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386 | rkmjmip = r(k-1,j-1,i+1) + IBITS( flags(k-1,j-1,i+1), 6, 1 ) * & |
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387 | ( r(k,j,i) - r(k-1,j-1,i+1) ) |
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388 | rkmjpip = r(k-1,j+1,i+1) + IBITS( flags(k-1,j+1,i+1), 6, 1 ) * & |
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389 | ( r(k,j,i) - r(k-1,j+1,i+1) ) |
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390 | |
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391 | f_mg(kc,jc,ic) = 1.0 / 64.0 * ( & |
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392 | 8.0 * r(k,j,i) & |
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393 | + 4.0 * ( rkjim + rkjip + & |
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394 | rkjpi + rkjmi ) & |
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395 | + 2.0 * ( rkjmim + rkjpim + & |
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396 | rkjmip + rkjpip ) & |
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397 | + 4.0 * rkmji & |
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398 | + 2.0 * ( rkmjim + rkmjim + & |
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399 | rkmjpi + rkmjmi ) & |
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400 | + ( rkmjmim + rkmjpim + & |
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401 | rkmjmip + rkmjpip ) & |
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402 | + 4.0 * r(k+1,j,i) & |
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403 | + 2.0 * ( r(k+1,j,i-1) + r(k+1,j,i+1) + & |
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404 | r(k+1,j+1,i) + r(k+1,j-1,i) ) & |
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405 | + ( r(k+1,j-1,i-1) + r(k+1,j+1,i-1) + & |
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406 | r(k+1,j-1,i+1) + r(k+1,j+1,i+1) ) & |
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407 | ) |
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408 | |
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409 | ! f_mg(kc,jc,ic) = 1.0 / 64.0 * ( & |
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410 | ! 8.0 * r(k,j,i) & |
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411 | ! + 4.0 * ( r(k,j,i-1) + r(k,j,i+1) + & |
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412 | ! r(k,j+1,i) + r(k,j-1,i) ) & |
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413 | ! + 2.0 * ( r(k,j-1,i-1) + r(k,j+1,i-1) + & |
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414 | ! r(k,j-1,i+1) + r(k,j+1,i+1) ) & |
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415 | ! + 4.0 * r(k-1,j,i) & |
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416 | ! + 2.0 * ( r(k-1,j,i-1) + r(k-1,j,i+1) + & |
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417 | ! r(k-1,j+1,i) + r(k-1,j-1,i) ) & |
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418 | ! + ( r(k-1,j-1,i-1) + r(k-1,j+1,i-1) + & |
---|
419 | ! r(k-1,j-1,i+1) + r(k-1,j+1,i+1) ) & |
---|
420 | ! + 4.0 * r(k+1,j,i) & |
---|
421 | ! + 2.0 * ( r(k+1,j,i-1) + r(k+1,j,i+1) + & |
---|
422 | ! r(k+1,j+1,i) + r(k+1,j-1,i) ) & |
---|
423 | ! + ( r(k+1,j-1,i-1) + r(k+1,j+1,i-1) + & |
---|
424 | ! r(k+1,j-1,i+1) + r(k+1,j+1,i+1) ) & |
---|
425 | ! ) |
---|
426 | ENDDO |
---|
427 | ENDDO |
---|
428 | ENDDO |
---|
429 | !$OMP END PARALLEL |
---|
430 | |
---|
431 | ! |
---|
432 | !-- Horizontal boundary conditions |
---|
433 | CALL exchange_horiz( f_mg, 1) |
---|
434 | |
---|
435 | IF ( .NOT. bc_lr_cyc ) THEN |
---|
436 | IF (inflow_l .OR. outflow_l) f_mg(:,:,nxl_mg(l)-1) = f_mg(:,:,nxl_mg(l)) |
---|
437 | IF (inflow_r .OR. outflow_r) f_mg(:,:,nxr_mg(l)+1) = f_mg(:,:,nxr_mg(l)) |
---|
438 | ENDIF |
---|
439 | |
---|
440 | IF ( .NOT. bc_ns_cyc ) THEN |
---|
441 | IF (inflow_n .OR. outflow_n) f_mg(:,nyn_mg(l)+1,:) = f_mg(:,nyn_mg(l),:) |
---|
442 | IF (inflow_s .OR. outflow_s) f_mg(:,nys_mg(l)-1,:) = f_mg(:,nys_mg(l),:) |
---|
443 | ENDIF |
---|
444 | |
---|
445 | ! |
---|
446 | !-- Boundary conditions at bottom and top of the domain. |
---|
447 | !-- These points are not handled by the above loop. Points may be within |
---|
448 | !-- buildings, but that doesn't matter. |
---|
449 | IF ( ibc_p_b == 1 ) THEN |
---|
450 | f_mg(nzb,:,: ) = f_mg(nzb+1,:,:) |
---|
451 | ELSE |
---|
452 | f_mg(nzb,:,: ) = 0.0 |
---|
453 | ENDIF |
---|
454 | |
---|
455 | IF ( ibc_p_t == 1 ) THEN |
---|
456 | f_mg(nzt_mg(l)+1,:,: ) = f_mg(nzt_mg(l),:,:) |
---|
457 | ELSE |
---|
458 | f_mg(nzt_mg(l)+1,:,: ) = 0.0 |
---|
459 | ENDIF |
---|
460 | |
---|
461 | |
---|
462 | END SUBROUTINE restrict |
---|
463 | |
---|
464 | |
---|
465 | |
---|
466 | SUBROUTINE prolong( p, temp ) |
---|
467 | |
---|
468 | !------------------------------------------------------------------------------! |
---|
469 | ! Description: |
---|
470 | ! ------------ |
---|
471 | ! Interpolates the correction of the perturbation pressure |
---|
472 | ! to the next finer grid. |
---|
473 | !------------------------------------------------------------------------------! |
---|
474 | |
---|
475 | USE control_parameters |
---|
476 | USE pegrid |
---|
477 | USE indices |
---|
478 | |
---|
479 | IMPLICIT NONE |
---|
480 | |
---|
481 | INTEGER :: i, j, k, l |
---|
482 | |
---|
483 | REAL, DIMENSION(nzb:nzt_mg(grid_level-1)+1, & |
---|
484 | nys_mg(grid_level-1)-1:nyn_mg(grid_level-1)+1, & |
---|
485 | nxl_mg(grid_level-1)-1:nxr_mg(grid_level-1)+1 ) :: p |
---|
486 | |
---|
487 | REAL, DIMENSION(nzb:nzt_mg(grid_level)+1, & |
---|
488 | nys_mg(grid_level)-1:nyn_mg(grid_level)+1, & |
---|
489 | nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: temp |
---|
490 | |
---|
491 | |
---|
492 | ! |
---|
493 | !-- First, store elements of the coarser grid on the next finer grid |
---|
494 | l = grid_level |
---|
495 | |
---|
496 | !$OMP PARALLEL PRIVATE (i,j,k) |
---|
497 | !$OMP DO |
---|
498 | DO i = nxl_mg(l-1), nxr_mg(l-1) |
---|
499 | DO j = nys_mg(l-1), nyn_mg(l-1) |
---|
500 | !CDIR NODEP |
---|
501 | DO k = nzb+1, nzt_mg(l-1) |
---|
502 | ! |
---|
503 | !-- Points of the coarse grid are directly stored on the next finer |
---|
504 | !-- grid |
---|
505 | temp(2*k-1,2*j,2*i) = p(k,j,i) |
---|
506 | ! |
---|
507 | !-- Points between two coarse-grid points |
---|
508 | temp(2*k-1,2*j,2*i+1) = 0.5 * ( p(k,j,i) + p(k,j,i+1) ) |
---|
509 | temp(2*k-1,2*j+1,2*i) = 0.5 * ( p(k,j,i) + p(k,j+1,i) ) |
---|
510 | temp(2*k,2*j,2*i) = 0.5 * ( p(k,j,i) + p(k+1,j,i) ) |
---|
511 | ! |
---|
512 | !-- Points in the center of the planes stretched by four points |
---|
513 | !-- of the coarse grid cube |
---|
514 | temp(2*k-1,2*j+1,2*i+1) = 0.25 * ( p(k,j,i) + p(k,j,i+1) + & |
---|
515 | p(k,j+1,i) + p(k,j+1,i+1) ) |
---|
516 | temp(2*k,2*j,2*i+1) = 0.25 * ( p(k,j,i) + p(k,j,i+1) + & |
---|
517 | p(k+1,j,i) + p(k+1,j,i+1) ) |
---|
518 | temp(2*k,2*j+1,2*i) = 0.25 * ( p(k,j,i) + p(k,j+1,i) + & |
---|
519 | p(k+1,j,i) + p(k+1,j+1,i) ) |
---|
520 | ! |
---|
521 | !-- Points in the middle of coarse grid cube |
---|
522 | temp(2*k,2*j+1,2*i+1) = 0.125 * ( p(k,j,i) + p(k,j,i+1) + & |
---|
523 | p(k,j+1,i) + p(k,j+1,i+1) + & |
---|
524 | p(k+1,j,i) + p(k+1,j,i+1) + & |
---|
525 | p(k+1,j+1,i) + p(k+1,j+1,i+1) ) |
---|
526 | ENDDO |
---|
527 | ENDDO |
---|
528 | ENDDO |
---|
529 | !$OMP END PARALLEL |
---|
530 | |
---|
531 | ! |
---|
532 | !-- Horizontal boundary conditions |
---|
533 | CALL exchange_horiz( temp, 1) |
---|
534 | |
---|
535 | IF ( .NOT. bc_lr_cyc ) THEN |
---|
536 | IF (inflow_l .OR. outflow_l) temp(:,:,nxl_mg(l)-1) = temp(:,:,nxl_mg(l)) |
---|
537 | IF (inflow_r .OR. outflow_r) temp(:,:,nxr_mg(l)+1) = temp(:,:,nxr_mg(l)) |
---|
538 | ENDIF |
---|
539 | |
---|
540 | IF ( .NOT. bc_ns_cyc ) THEN |
---|
541 | IF (inflow_n .OR. outflow_n) temp(:,nyn_mg(l)+1,:) = temp(:,nyn_mg(l),:) |
---|
542 | IF (inflow_s .OR. outflow_s) temp(:,nys_mg(l)-1,:) = temp(:,nys_mg(l),:) |
---|
543 | ENDIF |
---|
544 | |
---|
545 | ! |
---|
546 | !-- Bottom and top boundary conditions |
---|
547 | IF ( ibc_p_b == 1 ) THEN |
---|
548 | temp(nzb,:,: ) = temp(nzb+1,:,:) |
---|
549 | ELSE |
---|
550 | temp(nzb,:,: ) = 0.0 |
---|
551 | ENDIF |
---|
552 | |
---|
553 | IF ( ibc_p_t == 1 ) THEN |
---|
554 | temp(nzt_mg(l)+1,:,: ) = temp(nzt_mg(l),:,:) |
---|
555 | ELSE |
---|
556 | temp(nzt_mg(l)+1,:,: ) = 0.0 |
---|
557 | ENDIF |
---|
558 | |
---|
559 | |
---|
560 | END SUBROUTINE prolong |
---|
561 | |
---|
562 | |
---|
563 | SUBROUTINE redblack( f_mg, p_mg ) |
---|
564 | |
---|
565 | !------------------------------------------------------------------------------! |
---|
566 | ! Description: |
---|
567 | ! ------------ |
---|
568 | ! Relaxation method for the multigrid scheme. A Gauss-Seidel iteration with |
---|
569 | ! 3D-Red-Black decomposition (GS-RB) is used. |
---|
570 | !------------------------------------------------------------------------------! |
---|
571 | |
---|
572 | USE arrays_3d |
---|
573 | USE control_parameters |
---|
574 | USE cpulog |
---|
575 | USE grid_variables |
---|
576 | USE indices |
---|
577 | USE interfaces |
---|
578 | USE pegrid |
---|
579 | |
---|
580 | IMPLICIT NONE |
---|
581 | |
---|
582 | INTEGER :: colour, i, ic, j, jc, jj, k, l, n |
---|
583 | |
---|
584 | LOGICAL :: unroll |
---|
585 | |
---|
586 | REAL :: wall_left, wall_north, wall_right, wall_south, wall_total, wall_top |
---|
587 | |
---|
588 | REAL, DIMENSION(nzb:nzt_mg(grid_level)+1, & |
---|
589 | nys_mg(grid_level)-1:nyn_mg(grid_level)+1, & |
---|
590 | nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: f_mg, p_mg |
---|
591 | |
---|
592 | |
---|
593 | l = grid_level |
---|
594 | |
---|
595 | ! |
---|
596 | !-- Choose flag array of this level |
---|
597 | SELECT CASE ( l ) |
---|
598 | CASE ( 1 ) |
---|
599 | flags => wall_flags_1 |
---|
600 | CASE ( 2 ) |
---|
601 | flags => wall_flags_2 |
---|
602 | CASE ( 3 ) |
---|
603 | flags => wall_flags_3 |
---|
604 | CASE ( 4 ) |
---|
605 | flags => wall_flags_4 |
---|
606 | CASE ( 5 ) |
---|
607 | flags => wall_flags_5 |
---|
608 | CASE ( 6 ) |
---|
609 | flags => wall_flags_6 |
---|
610 | CASE ( 7 ) |
---|
611 | flags => wall_flags_7 |
---|
612 | CASE ( 8 ) |
---|
613 | flags => wall_flags_8 |
---|
614 | CASE ( 9 ) |
---|
615 | flags => wall_flags_9 |
---|
616 | CASE ( 10 ) |
---|
617 | flags => wall_flags_10 |
---|
618 | END SELECT |
---|
619 | |
---|
620 | unroll = ( MOD( nyn_mg(l)-nys_mg(l)+1, 4 ) == 0 .AND. & |
---|
621 | MOD( nxr_mg(l)-nxl_mg(l)+1, 2 ) == 0 ) |
---|
622 | |
---|
623 | DO n = 1, ngsrb |
---|
624 | |
---|
625 | DO colour = 1, 2 |
---|
626 | |
---|
627 | IF ( .NOT. unroll ) THEN |
---|
628 | |
---|
629 | CALL cpu_log( log_point_s(36), 'redblack_no_unroll', 'start' ) |
---|
630 | |
---|
631 | ! |
---|
632 | !-- Without unrolling of loops, no cache optimization |
---|
633 | DO i = nxl_mg(l), nxr_mg(l), 2 |
---|
634 | DO j = nys_mg(l) + 2 - colour, nyn_mg(l), 2 |
---|
635 | DO k = nzb+1, nzt_mg(l), 2 |
---|
636 | ! p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
637 | ! ddx2_mg(l) * ( p_mg(k,j,i+1) + p_mg(k,j,i-1) ) & |
---|
638 | ! + ddy2_mg(l) * ( p_mg(k,j+1,i) + p_mg(k,j-1,i) ) & |
---|
639 | ! + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
640 | ! + f3_mg(k,l) * p_mg(k-1,j,i) - f_mg(k,j,i) & |
---|
641 | ! ) |
---|
642 | |
---|
643 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
644 | ddx2_mg(l) * & |
---|
645 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
646 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
647 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
648 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
649 | + ddy2_mg(l) * & |
---|
650 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
651 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
652 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
653 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
654 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
655 | + f3_mg(k,l) * & |
---|
656 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
657 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
658 | - f_mg(k,j,i) ) |
---|
659 | ENDDO |
---|
660 | ENDDO |
---|
661 | ENDDO |
---|
662 | |
---|
663 | DO i = nxl_mg(l)+1, nxr_mg(l), 2 |
---|
664 | DO j = nys_mg(l) + (colour-1), nyn_mg(l), 2 |
---|
665 | DO k = nzb+1, nzt_mg(l), 2 |
---|
666 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
667 | ddx2_mg(l) * & |
---|
668 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
669 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
670 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
671 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
672 | + ddy2_mg(l) * & |
---|
673 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
674 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
675 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
676 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
677 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
678 | + f3_mg(k,l) * & |
---|
679 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
680 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
681 | - f_mg(k,j,i) ) |
---|
682 | ENDDO |
---|
683 | ENDDO |
---|
684 | ENDDO |
---|
685 | |
---|
686 | DO i = nxl_mg(l), nxr_mg(l), 2 |
---|
687 | DO j = nys_mg(l) + (colour-1), nyn_mg(l), 2 |
---|
688 | DO k = nzb+2, nzt_mg(l), 2 |
---|
689 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
690 | ddx2_mg(l) * & |
---|
691 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
692 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
693 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
694 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
695 | + ddy2_mg(l) * & |
---|
696 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
697 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
698 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
699 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
700 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
701 | + f3_mg(k,l) * & |
---|
702 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
703 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
704 | - f_mg(k,j,i) ) |
---|
705 | ENDDO |
---|
706 | ENDDO |
---|
707 | ENDDO |
---|
708 | |
---|
709 | DO i = nxl_mg(l)+1, nxr_mg(l), 2 |
---|
710 | DO j = nys_mg(l) + 2 - colour, nyn_mg(l), 2 |
---|
711 | DO k = nzb+2, nzt_mg(l), 2 |
---|
712 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
713 | ddx2_mg(l) * & |
---|
714 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
715 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
716 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
717 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
718 | + ddy2_mg(l) * & |
---|
719 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
720 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
721 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
722 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
723 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
724 | + f3_mg(k,l) * & |
---|
725 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
726 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
727 | - f_mg(k,j,i) ) |
---|
728 | ENDDO |
---|
729 | ENDDO |
---|
730 | ENDDO |
---|
731 | CALL cpu_log( log_point_s(36), 'redblack_no_unroll', 'stop' ) |
---|
732 | |
---|
733 | ELSE |
---|
734 | |
---|
735 | ! |
---|
736 | !-- Loop unrolling along y, only one i loop for better cache use |
---|
737 | CALL cpu_log( log_point_s(38), 'redblack_unroll', 'start' ) |
---|
738 | DO ic = nxl_mg(l), nxr_mg(l), 2 |
---|
739 | DO jc = nys_mg(l), nyn_mg(l), 4 |
---|
740 | i = ic |
---|
741 | jj = jc+2-colour |
---|
742 | DO k = nzb+1, nzt_mg(l), 2 |
---|
743 | j = jj |
---|
744 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
745 | ddx2_mg(l) * & |
---|
746 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
747 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
748 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
749 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
750 | + ddy2_mg(l) * & |
---|
751 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
752 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
753 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
754 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
755 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
756 | + f3_mg(k,l) * & |
---|
757 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
758 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
759 | - f_mg(k,j,i) ) |
---|
760 | j = jj+2 |
---|
761 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
762 | ddx2_mg(l) * & |
---|
763 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
764 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
765 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
766 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
767 | + ddy2_mg(l) * & |
---|
768 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
769 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
770 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
771 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
772 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
773 | + f3_mg(k,l) * & |
---|
774 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
775 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
776 | - f_mg(k,j,i) ) |
---|
777 | ENDDO |
---|
778 | |
---|
779 | i = ic+1 |
---|
780 | jj = jc+colour-1 |
---|
781 | DO k = nzb+1, nzt_mg(l), 2 |
---|
782 | j =jj |
---|
783 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
784 | ddx2_mg(l) * & |
---|
785 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
786 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
787 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
788 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
789 | + ddy2_mg(l) * & |
---|
790 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
791 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
792 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
793 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
794 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
795 | + f3_mg(k,l) * & |
---|
796 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
797 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
798 | - f_mg(k,j,i) ) |
---|
799 | j = jj+2 |
---|
800 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
801 | ddx2_mg(l) * & |
---|
802 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
803 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
804 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
805 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
806 | + ddy2_mg(l) * & |
---|
807 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
808 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
809 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
810 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
811 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
812 | + f3_mg(k,l) * & |
---|
813 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
814 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
815 | - f_mg(k,j,i) ) |
---|
816 | ENDDO |
---|
817 | |
---|
818 | i = ic |
---|
819 | jj = jc+colour-1 |
---|
820 | DO k = nzb+2, nzt_mg(l), 2 |
---|
821 | j =jj |
---|
822 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
823 | ddx2_mg(l) * & |
---|
824 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
825 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
826 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
827 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
828 | + ddy2_mg(l) * & |
---|
829 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
830 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
831 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
832 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
833 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
834 | + f3_mg(k,l) * & |
---|
835 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
836 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
837 | - f_mg(k,j,i) ) |
---|
838 | j = jj+2 |
---|
839 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
840 | ddx2_mg(l) * & |
---|
841 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
842 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
843 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
844 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
845 | + ddy2_mg(l) * & |
---|
846 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
847 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
848 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
849 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
850 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
851 | + f3_mg(k,l) * & |
---|
852 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
853 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
854 | - f_mg(k,j,i) ) |
---|
855 | ENDDO |
---|
856 | |
---|
857 | i = ic+1 |
---|
858 | jj = jc+2-colour |
---|
859 | DO k = nzb+2, nzt_mg(l), 2 |
---|
860 | j =jj |
---|
861 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
862 | ddx2_mg(l) * & |
---|
863 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
864 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
865 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
866 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
867 | + ddy2_mg(l) * & |
---|
868 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
869 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
870 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
871 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
872 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
873 | + f3_mg(k,l) * & |
---|
874 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
875 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
876 | - f_mg(k,j,i) ) |
---|
877 | j = jj+2 |
---|
878 | p_mg(k,j,i) = 1.0 / f1_mg(k,l) * ( & |
---|
879 | ddx2_mg(l) * & |
---|
880 | ( p_mg(k,j,i+1) + IBITS( flags(k,j,i), 5, 1 ) * & |
---|
881 | ( p_mg(k,j,i) - p_mg(k,j,i+1) ) + & |
---|
882 | p_mg(k,j,i-1) + IBITS( flags(k,j,i), 4, 1 ) * & |
---|
883 | ( p_mg(k,j,i) - p_mg(k,j,i-1) ) ) & |
---|
884 | + ddy2_mg(l) * & |
---|
885 | ( p_mg(k,j+1,i) + IBITS( flags(k,j,i), 3, 1 ) * & |
---|
886 | ( p_mg(k,j,i) - p_mg(k,j+1,i) ) + & |
---|
887 | p_mg(k,j-1,i) + IBITS( flags(k,j,i), 2, 1 ) * & |
---|
888 | ( p_mg(k,j,i) - p_mg(k,j-1,i) ) ) & |
---|
889 | + f2_mg(k,l) * p_mg(k+1,j,i) & |
---|
890 | + f3_mg(k,l) * & |
---|
891 | ( p_mg(k-1,j,i) + IBITS( flags(k,j,i), 0, 1 ) * & |
---|
892 | ( p_mg(k,j,i) - p_mg(k-1,j,i) ) ) & |
---|
893 | - f_mg(k,j,i) ) |
---|
894 | ENDDO |
---|
895 | |
---|
896 | ENDDO |
---|
897 | ENDDO |
---|
898 | CALL cpu_log( log_point_s(38), 'redblack_unroll', 'stop' ) |
---|
899 | |
---|
900 | ENDIF |
---|
901 | |
---|
902 | ! |
---|
903 | !-- Horizontal boundary conditions |
---|
904 | CALL exchange_horiz( p_mg, 1 ) |
---|
905 | |
---|
906 | IF ( .NOT. bc_lr_cyc ) THEN |
---|
907 | IF ( inflow_l .OR. outflow_l ) THEN |
---|
908 | p_mg(:,:,nxl_mg(l)-1) = p_mg(:,:,nxl_mg(l)) |
---|
909 | ENDIF |
---|
910 | IF ( inflow_r .OR. outflow_r ) THEN |
---|
911 | p_mg(:,:,nxr_mg(l)+1) = p_mg(:,:,nxr_mg(l)) |
---|
912 | ENDIF |
---|
913 | ENDIF |
---|
914 | |
---|
915 | IF ( .NOT. bc_ns_cyc ) THEN |
---|
916 | IF ( inflow_n .OR. outflow_n ) THEN |
---|
917 | p_mg(:,nyn_mg(l)+1,:) = p_mg(:,nyn_mg(l),:) |
---|
918 | ENDIF |
---|
919 | IF ( inflow_s .OR. outflow_s ) THEN |
---|
920 | p_mg(:,nys_mg(l)-1,:) = p_mg(:,nys_mg(l),:) |
---|
921 | ENDIF |
---|
922 | ENDIF |
---|
923 | |
---|
924 | ! |
---|
925 | !-- Bottom and top boundary conditions |
---|
926 | IF ( ibc_p_b == 1 ) THEN |
---|
927 | p_mg(nzb,:,: ) = p_mg(nzb+1,:,:) |
---|
928 | ELSE |
---|
929 | p_mg(nzb,:,: ) = 0.0 |
---|
930 | ENDIF |
---|
931 | |
---|
932 | IF ( ibc_p_t == 1 ) THEN |
---|
933 | p_mg(nzt_mg(l)+1,:,: ) = p_mg(nzt_mg(l),:,:) |
---|
934 | ELSE |
---|
935 | p_mg(nzt_mg(l)+1,:,: ) = 0.0 |
---|
936 | ENDIF |
---|
937 | |
---|
938 | ENDDO |
---|
939 | |
---|
940 | ENDDO |
---|
941 | |
---|
942 | ! |
---|
943 | !-- Set pressure within topography and at the topography surfaces |
---|
944 | !$OMP PARALLEL PRIVATE (i,j,k,wall_left,wall_north,wall_right,wall_south,wall_top,wall_total) |
---|
945 | !$OMP DO |
---|
946 | DO i = nxl_mg(l), nxr_mg(l) |
---|
947 | DO j = nys_mg(l), nyn_mg(l) |
---|
948 | DO k = nzb, nzt_mg(l) |
---|
949 | ! |
---|
950 | !-- First, set pressure inside topography to zero |
---|
951 | p_mg(k,j,i) = p_mg(k,j,i) * ( 1.0 - IBITS( flags(k,j,i), 6, 1 ) ) |
---|
952 | ! |
---|
953 | !-- Second, determine if the gridpoint inside topography is adjacent |
---|
954 | !-- to a wall and set its value to a value given by the average of |
---|
955 | !-- those values obtained from Neumann boundary condition |
---|
956 | wall_left = IBITS( flags(k,j,i-1), 5, 1 ) |
---|
957 | wall_right = IBITS( flags(k,j,i+1), 4, 1 ) |
---|
958 | wall_south = IBITS( flags(k,j-1,i), 3, 1 ) |
---|
959 | wall_north = IBITS( flags(k,j+1,i), 2, 1 ) |
---|
960 | wall_top = IBITS( flags(k+1,j,i), 0, 1 ) |
---|
961 | wall_total = wall_left + wall_right + wall_south + wall_north + & |
---|
962 | wall_top |
---|
963 | |
---|
964 | IF ( wall_total > 0.0 ) THEN |
---|
965 | p_mg(k,j,i) = 1.0 / wall_total * & |
---|
966 | ( wall_left * p_mg(k,j,i-1) + & |
---|
967 | wall_right * p_mg(k,j,i+1) + & |
---|
968 | wall_south * p_mg(k,j-1,i) + & |
---|
969 | wall_north * p_mg(k,j+1,i) + & |
---|
970 | wall_top * p_mg(k+1,j,i) ) |
---|
971 | ENDIF |
---|
972 | ENDDO |
---|
973 | ENDDO |
---|
974 | ENDDO |
---|
975 | !$OMP END PARALLEL |
---|
976 | |
---|
977 | ! |
---|
978 | !-- One more time horizontal boundary conditions |
---|
979 | CALL exchange_horiz( p_mg, 1) |
---|
980 | |
---|
981 | |
---|
982 | END SUBROUTINE redblack |
---|
983 | |
---|
984 | |
---|
985 | |
---|
986 | SUBROUTINE mg_gather( f2, f2_sub ) |
---|
987 | |
---|
988 | USE control_parameters |
---|
989 | USE cpulog |
---|
990 | USE indices |
---|
991 | USE interfaces |
---|
992 | USE pegrid |
---|
993 | |
---|
994 | IMPLICIT NONE |
---|
995 | |
---|
996 | INTEGER :: i, il, ir, j, jn, js, k, n, nwords, sender |
---|
997 | |
---|
998 | REAL, DIMENSION(nzb:nzt_mg(grid_level)+1, & |
---|
999 | nys_mg(grid_level)-1:nyn_mg(grid_level)+1, & |
---|
1000 | nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: f2 |
---|
1001 | |
---|
1002 | REAL, DIMENSION(nzb:mg_loc_ind(5,myid)+1, & |
---|
1003 | mg_loc_ind(3,myid)-1:mg_loc_ind(4,myid)+1, & |
---|
1004 | mg_loc_ind(1,myid)-1:mg_loc_ind(2,myid)+1) :: f2_sub |
---|
1005 | |
---|
1006 | REAL, DIMENSION(:,:,:), ALLOCATABLE :: f2_l |
---|
1007 | |
---|
1008 | ALLOCATE( f2_l(nzb:nzt_mg(grid_level)+1, & |
---|
1009 | nys_mg(grid_level)-1:nyn_mg(grid_level)+1, & |
---|
1010 | nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) ) |
---|
1011 | |
---|
1012 | #if defined( __parallel ) |
---|
1013 | CALL cpu_log( log_point_s(34), 'mg_gather', 'start' ) |
---|
1014 | |
---|
1015 | f2_l = 0.0 |
---|
1016 | |
---|
1017 | ! |
---|
1018 | !-- Store the local subdomain array on the total array |
---|
1019 | js = mg_loc_ind(3,myid) |
---|
1020 | IF ( south_border_pe ) js = js - 1 |
---|
1021 | jn = mg_loc_ind(4,myid) |
---|
1022 | IF ( north_border_pe ) jn = jn + 1 |
---|
1023 | il = mg_loc_ind(1,myid) |
---|
1024 | IF ( left_border_pe ) il = il - 1 |
---|
1025 | ir = mg_loc_ind(2,myid) |
---|
1026 | IF ( right_border_pe ) ir = ir + 1 |
---|
1027 | DO i = il, ir |
---|
1028 | DO j = js, jn |
---|
1029 | DO k = nzb, nzt_mg(grid_level)+1 |
---|
1030 | f2_l(k,j,i) = f2_sub(k,j,i) |
---|
1031 | ENDDO |
---|
1032 | ENDDO |
---|
1033 | ENDDO |
---|
1034 | |
---|
1035 | ! |
---|
1036 | !-- Find out the number of array elements of the total array |
---|
1037 | nwords = SIZE( f2 ) |
---|
1038 | |
---|
1039 | ! |
---|
1040 | !-- Gather subdomain data from all PEs |
---|
1041 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
---|
1042 | CALL MPI_ALLREDUCE( f2_l(nzb,nys_mg(grid_level)-1,nxl_mg(grid_level)-1), & |
---|
1043 | f2(nzb,nys_mg(grid_level)-1,nxl_mg(grid_level)-1), & |
---|
1044 | nwords, MPI_REAL, MPI_SUM, comm2d, ierr ) |
---|
1045 | |
---|
1046 | DEALLOCATE( f2_l ) |
---|
1047 | |
---|
1048 | CALL cpu_log( log_point_s(34), 'mg_gather', 'stop' ) |
---|
1049 | #endif |
---|
1050 | |
---|
1051 | END SUBROUTINE mg_gather |
---|
1052 | |
---|
1053 | |
---|
1054 | |
---|
1055 | SUBROUTINE mg_scatter( p2, p2_sub ) |
---|
1056 | ! |
---|
1057 | !-- TODO: It may be possible to improve the speed of this routine by using |
---|
1058 | !-- non-blocking communication |
---|
1059 | |
---|
1060 | USE control_parameters |
---|
1061 | USE cpulog |
---|
1062 | USE indices |
---|
1063 | USE interfaces |
---|
1064 | USE pegrid |
---|
1065 | |
---|
1066 | IMPLICIT NONE |
---|
1067 | |
---|
1068 | INTEGER :: n, nwords, sender |
---|
1069 | |
---|
1070 | REAL, DIMENSION(nzb:nzt_mg(grid_level-1)+1, & |
---|
1071 | nys_mg(grid_level-1)-1:nyn_mg(grid_level-1)+1, & |
---|
1072 | nxl_mg(grid_level-1)-1:nxr_mg(grid_level-1)+1) :: p2 |
---|
1073 | |
---|
1074 | REAL, DIMENSION(nzb:mg_loc_ind(5,myid)+1, & |
---|
1075 | mg_loc_ind(3,myid)-1:mg_loc_ind(4,myid)+1, & |
---|
1076 | mg_loc_ind(1,myid)-1:mg_loc_ind(2,myid)+1) :: p2_sub |
---|
1077 | |
---|
1078 | ! |
---|
1079 | !-- Find out the number of array elements of the subdomain array |
---|
1080 | nwords = SIZE( p2_sub ) |
---|
1081 | |
---|
1082 | #if defined( __parallel ) |
---|
1083 | CALL cpu_log( log_point_s(35), 'mg_scatter', 'start' ) |
---|
1084 | |
---|
1085 | p2_sub = p2(:,mg_loc_ind(3,myid)-1:mg_loc_ind(4,myid)+1, & |
---|
1086 | mg_loc_ind(1,myid)-1:mg_loc_ind(2,myid)+1) |
---|
1087 | |
---|
1088 | CALL cpu_log( log_point_s(35), 'mg_scatter', 'stop' ) |
---|
1089 | #endif |
---|
1090 | |
---|
1091 | END SUBROUTINE mg_scatter |
---|
1092 | |
---|
1093 | |
---|
1094 | |
---|
1095 | RECURSIVE SUBROUTINE next_mg_level( f_mg, p_mg, p3, r ) |
---|
1096 | |
---|
1097 | !------------------------------------------------------------------------------! |
---|
1098 | ! Description: |
---|
1099 | ! ------------ |
---|
1100 | ! This is where the multigrid technique takes place. V- and W- Cycle are |
---|
1101 | ! implemented and steered by the parameter "gamma". Parameter "nue" determines |
---|
1102 | ! the convergence of the multigrid iterative solution. There are nue times |
---|
1103 | ! RB-GS iterations. It should be set to "1" or "2", considering the time effort |
---|
1104 | ! one would like to invest. Last choice shows a very good converging factor, |
---|
1105 | ! but leads to an increase in computing time. |
---|
1106 | !------------------------------------------------------------------------------! |
---|
1107 | |
---|
1108 | USE arrays_3d |
---|
1109 | USE control_parameters |
---|
1110 | USE grid_variables |
---|
1111 | USE indices |
---|
1112 | USE pegrid |
---|
1113 | |
---|
1114 | IMPLICIT NONE |
---|
1115 | |
---|
1116 | INTEGER :: i, j, k, nxl_mg_save, nxr_mg_save, nyn_mg_save, nys_mg_save, & |
---|
1117 | nzt_mg_save |
---|
1118 | |
---|
1119 | REAL, DIMENSION(nzb:nzt_mg(grid_level)+1, & |
---|
1120 | nys_mg(grid_level)-1:nyn_mg(grid_level)+1, & |
---|
1121 | nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) :: f_mg, p_mg, p3, r |
---|
1122 | |
---|
1123 | REAL, DIMENSION(:,:,:), ALLOCATABLE :: f2, f2_sub, p2, p2_sub |
---|
1124 | |
---|
1125 | |
---|
1126 | ! |
---|
1127 | !-- Restriction to the coarsest grid |
---|
1128 | 10 IF ( grid_level == 1 ) THEN |
---|
1129 | |
---|
1130 | ! |
---|
1131 | !-- Solution on the coarsest grid. Double the number of Gauss-Seidel |
---|
1132 | !-- iterations in order to get a more accurate solution. |
---|
1133 | ngsrb = 2 * ngsrb |
---|
1134 | |
---|
1135 | CALL redblack( f_mg, p_mg ) |
---|
1136 | |
---|
1137 | ngsrb = ngsrb / 2 |
---|
1138 | |
---|
1139 | |
---|
1140 | ELSEIF ( grid_level /= 1 ) THEN |
---|
1141 | |
---|
1142 | grid_level_count(grid_level) = grid_level_count(grid_level) + 1 |
---|
1143 | |
---|
1144 | ! |
---|
1145 | !-- Solution on the actual grid level |
---|
1146 | CALL redblack( f_mg, p_mg ) |
---|
1147 | |
---|
1148 | ! |
---|
1149 | !-- Determination of the actual residual |
---|
1150 | CALL resid( f_mg, p_mg, r ) |
---|
1151 | |
---|
1152 | ! |
---|
1153 | !-- Restriction of the residual (finer grid values!) to the next coarser |
---|
1154 | !-- grid. Therefore, the grid level has to be decremented now. nxl..nzt have |
---|
1155 | !-- to be set to the coarse grid values, because these variables are needed |
---|
1156 | !-- for the exchange of ghost points in routine exchange_horiz |
---|
1157 | grid_level = grid_level - 1 |
---|
1158 | nxl = nxl_mg(grid_level) |
---|
1159 | nys = nys_mg(grid_level) |
---|
1160 | nxr = nxr_mg(grid_level) |
---|
1161 | nyn = nyn_mg(grid_level) |
---|
1162 | nzt = nzt_mg(grid_level) |
---|
1163 | |
---|
1164 | ALLOCATE( f2(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 | p2(nzb:nzt_mg(grid_level)+1, & |
---|
1168 | nys_mg(grid_level)-1:nyn_mg(grid_level)+1, & |
---|
1169 | nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) ) |
---|
1170 | |
---|
1171 | IF ( grid_level == mg_switch_to_pe0_level ) THEN |
---|
1172 | |
---|
1173 | ! |
---|
1174 | !-- From this level on, calculations are done on PE0 only. |
---|
1175 | !-- First, carry out restriction on the subdomain. |
---|
1176 | !-- Therefore, indices of the level have to be changed to subdomain values |
---|
1177 | !-- in between (otherwise, the restrict routine would expect |
---|
1178 | !-- the gathered array) |
---|
1179 | |
---|
1180 | nxl_mg_save = nxl_mg(grid_level) |
---|
1181 | nxr_mg_save = nxr_mg(grid_level) |
---|
1182 | nys_mg_save = nys_mg(grid_level) |
---|
1183 | nyn_mg_save = nyn_mg(grid_level) |
---|
1184 | nzt_mg_save = nzt_mg(grid_level) |
---|
1185 | nxl_mg(grid_level) = mg_loc_ind(1,myid) |
---|
1186 | nxr_mg(grid_level) = mg_loc_ind(2,myid) |
---|
1187 | nys_mg(grid_level) = mg_loc_ind(3,myid) |
---|
1188 | nyn_mg(grid_level) = mg_loc_ind(4,myid) |
---|
1189 | nzt_mg(grid_level) = mg_loc_ind(5,myid) |
---|
1190 | nxl = mg_loc_ind(1,myid) |
---|
1191 | nxr = mg_loc_ind(2,myid) |
---|
1192 | nys = mg_loc_ind(3,myid) |
---|
1193 | nyn = mg_loc_ind(4,myid) |
---|
1194 | nzt = mg_loc_ind(5,myid) |
---|
1195 | |
---|
1196 | ALLOCATE( f2_sub(nzb:nzt_mg(grid_level)+1, & |
---|
1197 | nys_mg(grid_level)-1:nyn_mg(grid_level)+1, & |
---|
1198 | nxl_mg(grid_level)-1:nxr_mg(grid_level)+1) ) |
---|
1199 | |
---|
1200 | CALL restrict( f2_sub, r ) |
---|
1201 | |
---|
1202 | ! |
---|
1203 | !-- Restore the correct indices of this level |
---|
1204 | nxl_mg(grid_level) = nxl_mg_save |
---|
1205 | nxr_mg(grid_level) = nxr_mg_save |
---|
1206 | nys_mg(grid_level) = nys_mg_save |
---|
1207 | nyn_mg(grid_level) = nyn_mg_save |
---|
1208 | nzt_mg(grid_level) = nzt_mg_save |
---|
1209 | nxl = nxl_mg(grid_level) |
---|
1210 | nxr = nxr_mg(grid_level) |
---|
1211 | nys = nys_mg(grid_level) |
---|
1212 | nyn = nyn_mg(grid_level) |
---|
1213 | nzt = nzt_mg(grid_level) |
---|
1214 | ! |
---|
1215 | !-- Gather all arrays from the subdomains on PE0 |
---|
1216 | CALL mg_gather( f2, f2_sub ) |
---|
1217 | |
---|
1218 | ! |
---|
1219 | !-- Set switch for routine exchange_horiz, that no ghostpoint exchange |
---|
1220 | !-- has to be carried out from now on |
---|
1221 | mg_switch_to_pe0 = .TRUE. |
---|
1222 | |
---|
1223 | ! |
---|
1224 | !-- In case of non-cyclic lateral boundary conditions, both in- and |
---|
1225 | !-- outflow conditions have to be used on all PEs after the switch, |
---|
1226 | !-- because then they have the total domain. |
---|
1227 | IF ( bc_lr_dirrad ) THEN |
---|
1228 | inflow_l = .TRUE. |
---|
1229 | inflow_r = .FALSE. |
---|
1230 | outflow_l = .FALSE. |
---|
1231 | outflow_r = .TRUE. |
---|
1232 | ELSEIF ( bc_lr_raddir ) THEN |
---|
1233 | inflow_l = .FALSE. |
---|
1234 | inflow_r = .TRUE. |
---|
1235 | outflow_l = .TRUE. |
---|
1236 | outflow_r = .FALSE. |
---|
1237 | ENDIF |
---|
1238 | |
---|
1239 | IF ( bc_ns_dirrad ) THEN |
---|
1240 | inflow_n = .TRUE. |
---|
1241 | inflow_s = .FALSE. |
---|
1242 | outflow_n = .FALSE. |
---|
1243 | outflow_s = .TRUE. |
---|
1244 | ELSEIF ( bc_ns_raddir ) THEN |
---|
1245 | inflow_n = .FALSE. |
---|
1246 | inflow_s = .TRUE. |
---|
1247 | outflow_n = .TRUE. |
---|
1248 | outflow_s = .FALSE. |
---|
1249 | ENDIF |
---|
1250 | |
---|
1251 | DEALLOCATE( f2_sub ) |
---|
1252 | |
---|
1253 | ELSE |
---|
1254 | CALL restrict( f2, r ) |
---|
1255 | |
---|
1256 | ENDIF |
---|
1257 | |
---|
1258 | p2 = 0.0 |
---|
1259 | |
---|
1260 | ! |
---|
1261 | !-- Repeat the same procedure till the coarsest grid is reached |
---|
1262 | CALL next_mg_level( f2, p2, p3, r ) |
---|
1263 | |
---|
1264 | ENDIF |
---|
1265 | |
---|
1266 | ! |
---|
1267 | !-- Now follows the prolongation |
---|
1268 | IF ( grid_level >= 2 ) THEN |
---|
1269 | |
---|
1270 | ! |
---|
1271 | !-- Prolongation of the new residual. The values are transferred |
---|
1272 | !-- from the coarse to the next finer grid. |
---|
1273 | IF ( grid_level == mg_switch_to_pe0_level+1 ) THEN |
---|
1274 | ! |
---|
1275 | !-- At this level, the new residual first has to be scattered from |
---|
1276 | !-- PE0 to the other PEs |
---|
1277 | ALLOCATE( p2_sub(nzb:mg_loc_ind(5,myid)+1, & |
---|
1278 | mg_loc_ind(3,myid)-1:mg_loc_ind(4,myid)+1, & |
---|
1279 | mg_loc_ind(1,myid)-1:mg_loc_ind(2,myid)+1) ) |
---|
1280 | |
---|
1281 | CALL mg_scatter( p2, p2_sub ) |
---|
1282 | |
---|
1283 | ! |
---|
1284 | !-- Therefore, indices of the previous level have to be changed to |
---|
1285 | !-- subdomain values in between (otherwise, the prolong routine would |
---|
1286 | !-- expect the gathered array) |
---|
1287 | nxl_mg_save = nxl_mg(grid_level-1) |
---|
1288 | nxr_mg_save = nxr_mg(grid_level-1) |
---|
1289 | nys_mg_save = nys_mg(grid_level-1) |
---|
1290 | nyn_mg_save = nyn_mg(grid_level-1) |
---|
1291 | nzt_mg_save = nzt_mg(grid_level-1) |
---|
1292 | nxl_mg(grid_level-1) = mg_loc_ind(1,myid) |
---|
1293 | nxr_mg(grid_level-1) = mg_loc_ind(2,myid) |
---|
1294 | nys_mg(grid_level-1) = mg_loc_ind(3,myid) |
---|
1295 | nyn_mg(grid_level-1) = mg_loc_ind(4,myid) |
---|
1296 | nzt_mg(grid_level-1) = mg_loc_ind(5,myid) |
---|
1297 | |
---|
1298 | ! |
---|
1299 | !-- Set switch for routine exchange_horiz, that ghostpoint exchange |
---|
1300 | !-- has to be carried again out from now on |
---|
1301 | mg_switch_to_pe0 = .FALSE. |
---|
1302 | |
---|
1303 | ! |
---|
1304 | !-- For non-cyclic lateral boundary conditions, restore the |
---|
1305 | !-- in-/outflow conditions |
---|
1306 | inflow_l = .FALSE.; inflow_r = .FALSE. |
---|
1307 | inflow_n = .FALSE.; inflow_s = .FALSE. |
---|
1308 | outflow_l = .FALSE.; outflow_r = .FALSE. |
---|
1309 | outflow_n = .FALSE.; outflow_s = .FALSE. |
---|
1310 | |
---|
1311 | IF ( pleft == MPI_PROC_NULL ) THEN |
---|
1312 | IF ( bc_lr_dirrad ) THEN |
---|
1313 | inflow_l = .TRUE. |
---|
1314 | ELSEIF ( bc_lr_raddir ) THEN |
---|
1315 | outflow_l = .TRUE. |
---|
1316 | ENDIF |
---|
1317 | ENDIF |
---|
1318 | |
---|
1319 | IF ( pright == MPI_PROC_NULL ) THEN |
---|
1320 | IF ( bc_lr_dirrad ) THEN |
---|
1321 | outflow_r = .TRUE. |
---|
1322 | ELSEIF ( bc_lr_raddir ) THEN |
---|
1323 | inflow_r = .TRUE. |
---|
1324 | ENDIF |
---|
1325 | ENDIF |
---|
1326 | |
---|
1327 | IF ( psouth == MPI_PROC_NULL ) THEN |
---|
1328 | IF ( bc_ns_dirrad ) THEN |
---|
1329 | outflow_s = .TRUE. |
---|
1330 | ELSEIF ( bc_ns_raddir ) THEN |
---|
1331 | inflow_s = .TRUE. |
---|
1332 | ENDIF |
---|
1333 | ENDIF |
---|
1334 | |
---|
1335 | IF ( pnorth == MPI_PROC_NULL ) THEN |
---|
1336 | IF ( bc_ns_dirrad ) THEN |
---|
1337 | inflow_n = .TRUE. |
---|
1338 | ELSEIF ( bc_ns_raddir ) THEN |
---|
1339 | outflow_n = .TRUE. |
---|
1340 | ENDIF |
---|
1341 | ENDIF |
---|
1342 | |
---|
1343 | CALL prolong( p2_sub, p3 ) |
---|
1344 | |
---|
1345 | ! |
---|
1346 | !-- Restore the correct indices of the previous level |
---|
1347 | nxl_mg(grid_level-1) = nxl_mg_save |
---|
1348 | nxr_mg(grid_level-1) = nxr_mg_save |
---|
1349 | nys_mg(grid_level-1) = nys_mg_save |
---|
1350 | nyn_mg(grid_level-1) = nyn_mg_save |
---|
1351 | nzt_mg(grid_level-1) = nzt_mg_save |
---|
1352 | |
---|
1353 | DEALLOCATE( p2_sub ) |
---|
1354 | |
---|
1355 | ELSE |
---|
1356 | CALL prolong( p2, p3 ) |
---|
1357 | |
---|
1358 | ENDIF |
---|
1359 | |
---|
1360 | ! |
---|
1361 | !-- Temporary arrays for the actual grid are not needed any more |
---|
1362 | DEALLOCATE( p2, f2 ) |
---|
1363 | |
---|
1364 | ! |
---|
1365 | !-- Computation of the new pressure correction. Therefore, |
---|
1366 | !-- values from prior grids are added up automatically stage by stage. |
---|
1367 | DO i = nxl_mg(grid_level)-1, nxr_mg(grid_level)+1 |
---|
1368 | DO j = nys_mg(grid_level)-1, nyn_mg(grid_level)+1 |
---|
1369 | DO k = nzb, nzt_mg(grid_level)+1 |
---|
1370 | p_mg(k,j,i) = p_mg(k,j,i) + p3(k,j,i) |
---|
1371 | ENDDO |
---|
1372 | ENDDO |
---|
1373 | ENDDO |
---|
1374 | |
---|
1375 | ! |
---|
1376 | !-- Relaxation of the new solution |
---|
1377 | CALL redblack( f_mg, p_mg ) |
---|
1378 | |
---|
1379 | ENDIF |
---|
1380 | |
---|
1381 | |
---|
1382 | ! |
---|
1383 | !-- The following few lines serve the steering of the multigrid scheme |
---|
1384 | IF ( grid_level == maximum_grid_level ) THEN |
---|
1385 | |
---|
1386 | GOTO 20 |
---|
1387 | |
---|
1388 | ELSEIF ( grid_level /= maximum_grid_level .AND. grid_level /= 1 .AND. & |
---|
1389 | grid_level_count(grid_level) /= gamma_mg ) THEN |
---|
1390 | |
---|
1391 | GOTO 10 |
---|
1392 | |
---|
1393 | ENDIF |
---|
1394 | |
---|
1395 | ! |
---|
1396 | !-- Reset counter for the next call of poismg |
---|
1397 | grid_level_count(grid_level) = 0 |
---|
1398 | |
---|
1399 | ! |
---|
1400 | !-- Continue with the next finer level. nxl..nzt have to be |
---|
1401 | !-- set to the finer grid values, because these variables are needed for the |
---|
1402 | !-- exchange of ghost points in routine exchange_horiz |
---|
1403 | grid_level = grid_level + 1 |
---|
1404 | nxl = nxl_mg(grid_level) |
---|
1405 | nxr = nxr_mg(grid_level) |
---|
1406 | nys = nys_mg(grid_level) |
---|
1407 | nyn = nyn_mg(grid_level) |
---|
1408 | nzt = nzt_mg(grid_level) |
---|
1409 | |
---|
1410 | 20 CONTINUE |
---|
1411 | |
---|
1412 | END SUBROUTINE next_mg_level |
---|