1 | !> @file sor.f90 |
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2 | !--------------------------------------------------------------------------------------------------! |
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3 | ! This file is part of the PALM model system. |
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4 | ! |
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5 | ! PALM is free software: you can redistribute it and/or modify it under the terms of the GNU General |
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6 | ! Public License as published by the Free Software Foundation, either version 3 of the License, or |
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7 | ! (at your option) any later version. |
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8 | ! |
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9 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the |
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10 | ! implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General |
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11 | ! Public License for more details. |
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12 | ! |
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13 | ! You should have received a copy of the GNU General Public License along with PALM. If not, see |
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14 | ! <http://www.gnu.org/licenses/>. |
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15 | ! |
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16 | ! Copyright 1997-2020 Leibniz Universitaet Hannover |
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17 | !--------------------------------------------------------------------------------------------------! |
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18 | ! |
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19 | ! |
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20 | ! Current revisions: |
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21 | ! ----------------- |
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22 | ! |
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23 | ! |
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24 | ! Former revisions: |
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25 | ! ----------------- |
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26 | ! $Id: sor.f90 4591 2020-07-06 15:56:08Z suehring $ |
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27 | ! File re-formatted to follow the PALM coding standard |
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28 | ! |
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29 | ! |
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30 | ! 4457 2020-03-11 14:20:43Z raasch |
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31 | ! Use statement for exchange horiz added |
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32 | ! |
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33 | ! 4360 2020-01-07 11:25:50Z suehring |
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34 | ! Corrected "Former revisions" section |
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35 | ! |
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36 | ! 3655 2019-01-07 16:51:22Z knoop |
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37 | ! Rename variables in mesoscale-offline nesting mode |
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38 | ! |
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39 | ! Revision 1.1 1997/08/11 06:25:56 raasch |
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40 | ! Initial revision |
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41 | ! |
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42 | !--------------------------------------------------------------------------------------------------! |
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43 | ! Description: |
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44 | ! ------------ |
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45 | !> Solve the Poisson-equation with the SOR-Red/Black-scheme. |
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46 | !--------------------------------------------------------------------------------------------------! |
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47 | SUBROUTINE sor( d, ddzu, ddzw, p ) |
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48 | |
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49 | USE arrays_3d, & |
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50 | ONLY: rho_air, & |
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51 | rho_air_zw |
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52 | |
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53 | USE control_parameters, & |
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54 | ONLY: bc_dirichlet_l, & |
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55 | bc_dirichlet_n, & |
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56 | bc_dirichlet_r, & |
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57 | bc_dirichlet_s, & |
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58 | bc_lr_cyc, & |
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59 | bc_ns_cyc, & |
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60 | bc_radiation_l, & |
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61 | bc_radiation_n, & |
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62 | bc_radiation_r, & |
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63 | bc_radiation_s, & |
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64 | ibc_p_b, & |
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65 | ibc_p_t, & |
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66 | n_sor, & |
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67 | omega_sor |
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68 | |
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69 | USE exchange_horiz_mod, & |
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70 | ONLY: exchange_horiz |
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71 | |
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72 | USE grid_variables, & |
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73 | ONLY: ddx2, & |
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74 | ddy2 |
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75 | |
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76 | USE indices, & |
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77 | ONLY: nbgp, & |
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78 | nxl, & |
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79 | nxlg, & |
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80 | nxr, & |
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81 | nxrg, & |
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82 | nyn, & |
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83 | nyng, & |
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84 | nys, & |
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85 | nysg, & |
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86 | nz, & |
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87 | nzb, & |
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88 | nzt |
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89 | |
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90 | USE kinds |
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91 | |
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92 | IMPLICIT NONE |
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93 | |
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94 | INTEGER(iwp) :: i !< |
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95 | INTEGER(iwp) :: j !< |
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96 | INTEGER(iwp) :: k !< |
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97 | INTEGER(iwp) :: n !< |
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98 | INTEGER(iwp) :: nxl1 !< |
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99 | INTEGER(iwp) :: nxl2 !< |
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100 | INTEGER(iwp) :: nys1 !< |
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101 | INTEGER(iwp) :: nys2 !< |
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102 | |
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103 | REAL(wp) :: ddzu(1:nz+1) !< |
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104 | REAL(wp) :: ddzw(1:nzt+1) !< |
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105 | |
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106 | REAL(wp) :: d(nzb+1:nzt,nys:nyn,nxl:nxr) !< |
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107 | REAL(wp) :: p(nzb:nzt+1,nysg:nyng,nxlg:nxrg) !< |
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108 | |
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109 | REAL(wp), DIMENSION(:), ALLOCATABLE :: f1 !< |
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110 | REAL(wp), DIMENSION(:), ALLOCATABLE :: f2 !< |
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111 | REAL(wp), DIMENSION(:), ALLOCATABLE :: f3 !< |
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112 | |
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113 | ALLOCATE( f1(1:nz), f2(1:nz), f3(1:nz) ) |
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114 | |
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115 | ! |
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116 | !-- Compute pre-factors. |
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117 | DO k = 1, nz |
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118 | f2(k) = ddzu(k+1) * ddzw(k) * rho_air_zw(k) |
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119 | f3(k) = ddzu(k) * ddzw(k) * rho_air_zw(k-1) |
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120 | f1(k) = 2.0_wp * ( ddx2 + ddy2 ) * rho_air(k) + f2(k) + f3(k) |
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121 | ENDDO |
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122 | |
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123 | ! |
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124 | !-- Limits for RED- and BLACK-part. |
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125 | IF ( MOD( nxl , 2 ) == 0 ) THEN |
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126 | nxl1 = nxl |
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127 | nxl2 = nxl + 1 |
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128 | ELSE |
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129 | nxl1 = nxl + 1 |
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130 | nxl2 = nxl |
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131 | ENDIF |
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132 | IF ( MOD( nys , 2 ) == 0 ) THEN |
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133 | nys1 = nys |
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134 | nys2 = nys + 1 |
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135 | ELSE |
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136 | nys1 = nys + 1 |
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137 | nys2 = nys |
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138 | ENDIF |
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139 | |
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140 | DO n = 1, n_sor |
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141 | |
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142 | ! |
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143 | !-- RED-part |
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144 | DO i = nxl1, nxr, 2 |
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145 | DO j = nys2, nyn, 2 |
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146 | DO k = nzb+1, nzt |
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147 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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148 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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149 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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150 | f2(k) * p(k+1,j,i) + & |
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151 | f3(k) * p(k-1,j,i) - & |
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152 | d(k,j,i) - & |
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153 | f1(k) * p(k,j,i) ) |
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154 | ENDDO |
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155 | ENDDO |
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156 | ENDDO |
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157 | |
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158 | DO i = nxl2, nxr, 2 |
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159 | DO j = nys1, nyn, 2 |
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160 | DO k = nzb+1, nzt |
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161 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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162 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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163 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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164 | f2(k) * p(k+1,j,i) + & |
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165 | f3(k) * p(k-1,j,i) - & |
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166 | d(k,j,i) - & |
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167 | f1(k) * p(k,j,i) ) |
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168 | ENDDO |
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169 | ENDDO |
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170 | ENDDO |
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171 | |
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172 | ! |
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173 | !-- Exchange of boundary values for p. |
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174 | CALL exchange_horiz( p, nbgp ) |
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175 | |
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176 | |
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177 | ! |
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178 | !-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries |
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179 | IF ( .NOT. bc_lr_cyc ) THEN |
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180 | IF ( bc_dirichlet_l .OR. bc_radiation_l ) p(:,:,nxl-1) = p(:,:,nxl) |
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181 | IF ( bc_dirichlet_r .OR. bc_radiation_r ) p(:,:,nxr+1) = p(:,:,nxr) |
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182 | ENDIF |
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183 | IF ( .NOT. bc_ns_cyc ) THEN |
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184 | IF ( bc_dirichlet_n .OR. bc_radiation_n ) p(:,nyn+1,:) = p(:,nyn,:) |
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185 | IF ( bc_dirichlet_s .OR. bc_radiation_s ) p(:,nys-1,:) = p(:,nys,:) |
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186 | ENDIF |
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187 | |
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188 | ! |
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189 | !-- BLACK-part |
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190 | DO i = nxl1, nxr, 2 |
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191 | DO j = nys1, nyn, 2 |
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192 | DO k = nzb+1, nzt |
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193 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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194 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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195 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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196 | f2(k) * p(k+1,j,i) + & |
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197 | f3(k) * p(k-1,j,i) - & |
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198 | d(k,j,i) - & |
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199 | f1(k) * p(k,j,i) ) |
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200 | ENDDO |
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201 | ENDDO |
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202 | ENDDO |
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203 | |
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204 | DO i = nxl2, nxr, 2 |
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205 | DO j = nys2, nyn, 2 |
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206 | DO k = nzb+1, nzt |
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207 | p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( & |
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208 | rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + & |
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209 | rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + & |
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210 | f2(k) * p(k+1,j,i) + & |
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211 | f3(k) * p(k-1,j,i) - & |
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212 | d(k,j,i) - & |
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213 | f1(k) * p(k,j,i) ) |
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214 | ENDDO |
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215 | ENDDO |
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216 | ENDDO |
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217 | |
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218 | ! |
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219 | !-- Exchange of boundary values for p. |
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220 | CALL exchange_horiz( p, nbgp ) |
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221 | |
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222 | ! |
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223 | !-- Boundary conditions top/bottom. |
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224 | !-- Bottom boundary |
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225 | IF ( ibc_p_b == 1 ) THEN ! Neumann |
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226 | p(nzb,:,:) = p(nzb+1,:,:) |
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227 | ELSE ! Dirichlet |
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228 | p(nzb,:,:) = 0.0_wp |
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229 | ENDIF |
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230 | |
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231 | ! |
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232 | !-- Top boundary |
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233 | IF ( ibc_p_t == 1 ) THEN ! Neumann |
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234 | p(nzt+1,:,:) = p(nzt,:,:) |
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235 | ELSE ! Dirichlet |
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236 | p(nzt+1,:,:) = 0.0_wp |
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237 | ENDIF |
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238 | |
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239 | ! |
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240 | !-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries |
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241 | IF ( .NOT. bc_lr_cyc ) THEN |
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242 | IF ( bc_dirichlet_l .OR. bc_radiation_l ) p(:,:,nxl-1) = p(:,:,nxl) |
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243 | IF ( bc_dirichlet_r .OR. bc_radiation_r ) p(:,:,nxr+1) = p(:,:,nxr) |
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244 | ENDIF |
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245 | IF ( .NOT. bc_ns_cyc ) THEN |
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246 | IF ( bc_dirichlet_n .OR. bc_radiation_n ) p(:,nyn+1,:) = p(:,nyn,:) |
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247 | IF ( bc_dirichlet_s .OR. bc_radiation_s ) p(:,nys-1,:) = p(:,nys,:) |
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248 | ENDIF |
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249 | |
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250 | |
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251 | ENDDO |
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252 | |
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253 | DEALLOCATE( f1, f2, f3 ) |
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254 | |
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255 | END SUBROUTINE sor |
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