1 | SUBROUTINE pres |
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2 | |
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3 | !------------------------------------------------------------------------------! |
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4 | ! Actual revisions: |
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5 | ! ----------------- |
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6 | ! |
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7 | ! |
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8 | ! Former revisions: |
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9 | ! ----------------- |
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10 | ! $Id: pres.f90 73 2007-03-20 08:33:14Z raasch $ |
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11 | ! RCS Log replace by Id keyword, revision history cleaned up |
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12 | ! |
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13 | ! Revision 1.25 2006/04/26 13:26:12 raasch |
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14 | ! OpenMP optimization (+localsum, threadsum) |
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15 | ! |
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16 | ! Revision 1.1 1997/07/24 11:24:44 raasch |
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17 | ! Initial revision |
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18 | ! |
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19 | ! |
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20 | ! Description: |
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21 | ! ------------ |
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22 | ! Compute the divergence of the provisional velocity field. Solve the Poisson |
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23 | ! equation for the perturbation pressure. Compute the final velocities using |
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24 | ! this perturbation pressure. Compute the remaining divergence. |
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25 | !------------------------------------------------------------------------------! |
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26 | |
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27 | USE arrays_3d |
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28 | USE constants |
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29 | USE control_parameters |
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30 | USE cpulog |
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31 | USE grid_variables |
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32 | USE indices |
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33 | USE interfaces |
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34 | USE pegrid |
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35 | USE poisfft_mod |
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36 | USE poisfft_hybrid_mod |
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37 | USE statistics |
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38 | |
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39 | IMPLICIT NONE |
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40 | |
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41 | INTEGER :: i, j, k, sr |
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42 | |
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43 | REAL :: localsum, threadsum |
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44 | |
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45 | REAL, DIMENSION(1:2) :: volume_flow_l, volume_flow_offset |
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46 | |
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47 | |
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48 | CALL cpu_log( log_point(8), 'pres', 'start' ) |
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49 | |
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50 | ! |
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51 | !-- Multigrid method needs additional grid points for the divergence array |
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52 | IF ( psolver == 'multigrid' ) THEN |
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53 | DEALLOCATE( d ) |
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54 | ALLOCATE( d(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) ) |
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55 | ENDIF |
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56 | |
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57 | ! |
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58 | !-- Compute the divergence of the provisional velocity field. |
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59 | CALL cpu_log( log_point_s(1), 'divergence', 'start' ) |
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60 | |
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61 | IF ( psolver == 'multigrid' ) THEN |
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62 | !$OMP PARALLEL DO SCHEDULE( STATIC ) |
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63 | DO i = nxl-1, nxr+1 |
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64 | DO j = nys-1, nyn+1 |
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65 | DO k = nzb, nzt+1 |
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66 | d(k,j,i) = 0.0 |
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67 | ENDDO |
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68 | ENDDO |
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69 | ENDDO |
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70 | ELSE |
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71 | !$OMP PARALLEL DO SCHEDULE( STATIC ) |
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72 | DO i = nxl, nxra |
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73 | DO j = nys, nyna |
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74 | DO k = nzb+1, nzta |
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75 | d(k,j,i) = 0.0 |
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76 | ENDDO |
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77 | ENDDO |
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78 | ENDDO |
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79 | ENDIF |
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80 | |
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81 | localsum = 0.0 |
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82 | threadsum = 0.0 |
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83 | |
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84 | #if defined( __ibm ) |
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85 | !$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum) |
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86 | !$OMP DO SCHEDULE( STATIC ) |
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87 | DO i = nxl, nxr |
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88 | DO j = nys, nyn |
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89 | DO k = nzb_s_inner(j,i)+1, nzt |
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90 | d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
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91 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
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92 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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93 | ENDDO |
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94 | ! |
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95 | !-- Additional pressure boundary condition at the bottom boundary for |
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96 | !-- inhomogeneous Prandtl layer heat fluxes and temperatures, respectively |
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97 | !-- dp/dz = -(dtau13/dx + dtau23/dy) + g*pt'/pt0. |
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98 | !-- This condition must not be applied at the start of a run, because then |
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99 | !-- flow_statistics has not yet been called and thus sums = 0. |
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100 | IF ( ibc_p_b == 2 .AND. sums(nzb+1,4) /= 0.0 ) THEN |
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101 | k = nzb_s_inner(j,i) |
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102 | d(k+1,j,i) = d(k+1,j,i) + ( & |
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103 | ( usws(j,i+1) - usws(j,i) ) * ddx & |
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104 | + ( vsws(j+1,i) - vsws(j,i) ) * ddy & |
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105 | - g * ( pt(k+1,j,i) - sums(k+1,4) ) / & |
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106 | sums(k+1,4) & |
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107 | ) * ddzw(k+1) |
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108 | ENDIF |
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109 | |
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110 | ! |
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111 | !-- Compute possible PE-sum of divergences for flow_statistics |
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112 | DO k = nzb_s_inner(j,i)+1, nzt |
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113 | threadsum = threadsum + ABS( d(k,j,i) ) |
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114 | ENDDO |
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115 | |
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116 | ! |
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117 | !-- Velocity corrections are made with Euler step size. Right hand side |
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118 | !-- of Poisson equation has to be set appropriately |
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119 | DO k = nzb_s_inner(j,i)+1, nzt |
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120 | d(k,j,i) = d(k,j,i) / dt_3d |
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121 | ENDDO |
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122 | |
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123 | ENDDO |
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124 | ENDDO |
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125 | |
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126 | localsum = localsum + threadsum |
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127 | !$OMP END PARALLEL |
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128 | #else |
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129 | IF ( ibc_p_b == 2 .AND. sums(nzb+1,4) /= 0.0 ) THEN |
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130 | !$OMP PARALLEL PRIVATE (i,j,k) |
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131 | !$OMP DO SCHEDULE( STATIC ) |
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132 | DO i = nxl, nxr |
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133 | DO j = nys, nyn |
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134 | DO k = nzb_s_inner(j,i)+1, nzt |
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135 | d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
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136 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
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137 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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138 | ENDDO |
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139 | ENDDO |
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140 | ! |
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141 | !-- Additional pressure boundary condition at the bottom boundary for |
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142 | !-- inhomogeneous Prandtl layer heat fluxes and temperatures, respectively |
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143 | !-- dp/dz = -(dtau13/dx + dtau23/dy) + g*pt'/pt0. |
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144 | !-- This condition must not be applied at the start of a run, because then |
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145 | !-- flow_statistics has not yet been called and thus sums = 0. |
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146 | DO j = nys, nyn |
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147 | k = nzb_s_inner(j,i) |
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148 | d(k+1,j,i) = d(k+1,j,i) + ( & |
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149 | ( usws(j,i+1) - usws(j,i) ) * ddx & |
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150 | + ( vsws(j+1,i) - vsws(j,i) ) * ddy & |
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151 | - g * ( pt(k+1,j,i) - sums(k+1,4) ) / & |
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152 | sums(k+1,4) & |
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153 | ) * ddzw(k+1) |
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154 | ENDDO |
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155 | ENDDO |
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156 | !$OMP END PARALLEL |
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157 | |
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158 | ELSE |
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159 | |
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160 | !$OMP PARALLEL PRIVATE (i,j,k) |
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161 | !$OMP DO SCHEDULE( STATIC ) |
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162 | DO i = nxl, nxr |
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163 | DO j = nys, nyn |
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164 | DO k = nzb_s_inner(j,i)+1, nzt |
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165 | d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
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166 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
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167 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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168 | ENDDO |
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169 | ENDDO |
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170 | ENDDO |
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171 | !$OMP END PARALLEL |
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172 | |
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173 | ENDIF |
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174 | |
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175 | ! |
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176 | !-- Compute possible PE-sum of divergences for flow_statistics |
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177 | !$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum) |
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178 | !$OMP DO SCHEDULE( STATIC ) |
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179 | DO i = nxl, nxr |
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180 | DO j = nys, nyn |
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181 | DO k = nzb+1, nzt |
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182 | threadsum = threadsum + ABS( d(k,j,i) ) |
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183 | ENDDO |
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184 | ENDDO |
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185 | ENDDO |
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186 | localsum = localsum + threadsum |
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187 | !$OMP END PARALLEL |
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188 | |
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189 | ! |
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190 | !-- Velocity corrections are made with Euler step size. Right hand side |
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191 | !-- of Poisson equation has to be set appropriately |
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192 | !$OMP DO SCHEDULE( STATIC ) |
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193 | DO i = nxl, nxr |
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194 | DO j = nys, nyn |
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195 | DO k = nzb_s_inner(j,i)+1, nzt |
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196 | d(k,j,i) = d(k,j,i) / dt_3d |
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197 | ENDDO |
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198 | ENDDO |
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199 | ENDDO |
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200 | #endif |
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201 | |
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202 | ! |
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203 | !-- For completeness, set the divergence sum of all statistic regions to those |
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204 | !-- of the total domain |
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205 | sums_divold_l(0:statistic_regions) = localsum |
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206 | |
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207 | ! |
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208 | !-- Determine absolute minimum/maximum (only for test cases, therefore as |
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209 | !-- comment line) |
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210 | ! CALL global_min_max( nzb+1, nzt, nys, nyn, nxl, nxr, d, 'abs', divmax, & |
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211 | ! divmax_ijk ) |
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212 | |
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213 | CALL cpu_log( log_point_s(1), 'divergence', 'stop' ) |
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214 | |
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215 | ! |
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216 | !-- Compute the pressure perturbation solving the Poisson equation |
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217 | IF ( psolver(1:7) == 'poisfft' ) THEN |
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218 | |
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219 | ! |
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220 | !-- Enlarge the size of tend, used as a working array for the transpositions |
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221 | IF ( nxra > nxr .OR. nyna > nyn .OR. nza > nz ) THEN |
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222 | DEALLOCATE( tend ) |
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223 | ALLOCATE( tend(1:nza,nys:nyna,nxl:nxra) ) |
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224 | ENDIF |
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225 | |
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226 | ! |
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227 | !-- Solve Poisson equation via FFT and solution of tridiagonal matrices |
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228 | IF ( psolver == 'poisfft' ) THEN |
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229 | ! |
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230 | !-- Solver for 2d-decomposition |
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231 | CALL poisfft( d, tend ) |
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232 | ELSEIF ( psolver == 'poisfft_hybrid' ) THEN |
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233 | ! |
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234 | !-- Solver for 1d-decomposition (using MPI and OpenMP). |
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235 | !-- The old hybrid-solver is still included here, as long as there |
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236 | !-- are some optimization problems in poisfft |
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237 | CALL poisfft_hybrid( d ) |
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238 | ENDIF |
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239 | |
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240 | ! |
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241 | !-- Resize tend to its normal size |
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242 | IF ( nxra > nxr .OR. nyna > nyn .OR. nza > nz ) THEN |
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243 | DEALLOCATE( tend ) |
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244 | ALLOCATE( tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) ) |
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245 | ENDIF |
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246 | |
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247 | ! |
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248 | !-- Store computed perturbation pressure and set boundary condition in |
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249 | !-- z-direction |
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250 | !$OMP PARALLEL DO |
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251 | DO i = nxl, nxr |
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252 | DO j = nys, nyn |
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253 | DO k = nzb+1, nzt |
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254 | tend(k,j,i) = d(k,j,i) |
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255 | ENDDO |
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256 | ENDDO |
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257 | ENDDO |
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258 | |
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259 | ! |
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260 | !-- Bottom boundary: |
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261 | !-- This condition is only required for internal output. The pressure |
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262 | !-- gradient (dp(nzb+1)-dp(nzb))/dz is not used anywhere else. |
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263 | IF ( ibc_p_b == 1 ) THEN |
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264 | ! |
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265 | !-- Neumann (dp/dz = 0) |
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266 | !$OMP PARALLEL DO |
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267 | DO i = nxl-1, nxr+1 |
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268 | DO j = nys-1, nyn+1 |
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269 | tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i) |
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270 | ENDDO |
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271 | ENDDO |
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272 | |
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273 | ELSEIF ( ibc_p_b == 2 ) THEN |
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274 | ! |
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275 | !-- Neumann condition for inhomogeneous surfaces, |
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276 | !-- here currently still in the form of a zero gradient. Actually |
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277 | !-- dp/dz = -(dtau13/dx + dtau23/dy) + g*pt'/pt0 would have to be used for |
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278 | !-- the computation (cf. above: computation of divergences). |
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279 | !$OMP PARALLEL DO |
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280 | DO i = nxl-1, nxr+1 |
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281 | DO j = nys-1, nyn+1 |
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282 | tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i) |
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283 | ENDDO |
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284 | ENDDO |
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285 | |
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286 | ELSE |
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287 | ! |
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288 | !-- Dirichlet |
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289 | !$OMP PARALLEL DO |
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290 | DO i = nxl-1, nxr+1 |
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291 | DO j = nys-1, nyn+1 |
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292 | tend(nzb_s_inner(j,i),j,i) = 0.0 |
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293 | ENDDO |
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294 | ENDDO |
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295 | |
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296 | ENDIF |
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297 | |
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298 | ! |
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299 | !-- Top boundary |
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300 | IF ( ibc_p_t == 1 ) THEN |
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301 | ! |
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302 | !-- Neumann |
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303 | !$OMP PARALLEL DO |
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304 | DO i = nxl-1, nxr+1 |
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305 | DO j = nys-1, nyn+1 |
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306 | tend(nzt+1,j,i) = tend(nzt,j,i) |
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307 | ENDDO |
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308 | ENDDO |
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309 | |
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310 | ELSE |
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311 | ! |
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312 | !-- Dirichlet |
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313 | !$OMP PARALLEL DO |
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314 | DO i = nxl-1, nxr+1 |
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315 | DO j = nys-1, nyn+1 |
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316 | tend(nzt+1,j,i) = 0.0 |
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317 | ENDDO |
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318 | ENDDO |
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319 | |
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320 | ENDIF |
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321 | |
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322 | ! |
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323 | !-- Exchange boundaries for p |
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324 | CALL exchange_horiz( tend, 0, 0 ) |
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325 | |
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326 | ELSEIF ( psolver == 'sor' ) THEN |
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327 | |
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328 | ! |
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329 | !-- Solve Poisson equation for perturbation pressure using SOR-Red/Black |
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330 | !-- scheme |
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331 | CALL sor( d, ddzu, ddzw, p ) |
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332 | tend = p |
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333 | |
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334 | ELSEIF ( psolver == 'multigrid' ) THEN |
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335 | |
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336 | ! |
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337 | !-- Solve Poisson equation for perturbation pressure using Multigrid scheme, |
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338 | !-- array tend is used to store the residuals |
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339 | CALL poismg( tend ) |
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340 | |
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341 | ! |
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342 | !-- Restore perturbation pressure on tend because this array is used |
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343 | !-- further below to correct the velocity fields |
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344 | tend = p |
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345 | |
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346 | ENDIF |
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347 | |
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348 | ! |
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349 | !-- Store perturbation pressure on array p, used in the momentum equations |
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350 | IF ( psolver(1:7) == 'poisfft' ) THEN |
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351 | ! |
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352 | !-- Here, only the values from the left and right boundaries are copied |
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353 | !-- The remaining values are copied in the following loop due to speed |
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354 | !-- optimization |
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355 | !$OMP PARALLEL DO |
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356 | DO j = nys-1, nyn+1 |
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357 | DO k = nzb, nzt+1 |
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358 | p(k,j,nxl-1) = tend(k,j,nxl-1) |
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359 | p(k,j,nxr+1) = tend(k,j,nxr+1) |
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360 | ENDDO |
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361 | ENDDO |
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362 | ENDIF |
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363 | |
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364 | ! |
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365 | !-- Correction of the provisional velocities with the current perturbation |
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366 | !-- pressure just computed |
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367 | IF ( bc_lr /= 'cyclic' .OR. bc_ns /= 'cyclic' ) uvmean_outflow_l = 0.0 |
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368 | IF ( conserve_volume_flow ) THEN |
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369 | volume_flow_l(1) = 0.0 |
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370 | volume_flow_l(2) = 0.0 |
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371 | ENDIF |
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372 | !$OMP PARALLEL PRIVATE (i,j,k) |
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373 | !$OMP DO |
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374 | DO i = nxl, nxr |
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375 | IF ( psolver(1:7) == 'poisfft' ) THEN |
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376 | DO j = nys-1, nyn+1 |
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377 | DO k = nzb, nzt+1 |
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378 | p(k,j,i) = tend(k,j,i) |
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379 | ENDDO |
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380 | ENDDO |
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381 | ENDIF |
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382 | DO j = nys, nyn |
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383 | DO k = nzb_w_inner(j,i)+1, nzt |
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384 | w(k,j,i) = w(k,j,i) - dt_3d * & |
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385 | ( tend(k+1,j,i) - tend(k,j,i) ) * ddzu(k+1) |
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386 | ENDDO |
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387 | DO k = nzb_u_inner(j,i)+1, nzt |
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388 | u(k,j,i) = u(k,j,i) - dt_3d * ( tend(k,j,i) - tend(k,j,i-1) ) * ddx |
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389 | ENDDO |
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390 | DO k = nzb_v_inner(j,i)+1, nzt |
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391 | v(k,j,i) = v(k,j,i) - dt_3d * ( tend(k,j,i) - tend(k,j-1,i) ) * ddy |
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392 | ENDDO |
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393 | |
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394 | ! |
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395 | !-- Sum up the horizontal velocity along the outflow plane (in case |
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396 | !-- of non-cyclic boundary conditions). The respective mean velocity |
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397 | !-- is calculated from this in routine boundary_conds. |
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398 | ! IF ( outflow_l .AND. i == nxl ) THEN |
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399 | ! !$OMP CRITICAL |
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400 | ! DO k = nzb, nzt+1 |
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401 | ! uvmean_outflow_l(k) = uvmean_outflow_l(k) + v(k,j,nxl) |
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402 | ! ENDDO |
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403 | ! !$OMP END CRITICAL |
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404 | ! ELSEIF ( outflow_r .AND. i == nxr ) THEN |
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405 | ! !$OMP CRITICAL |
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406 | ! DO k = nzb, nzt+1 |
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407 | ! uvmean_outflow_l(k) = uvmean_outflow_l(k) + v(k,j,nxr) |
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408 | ! ENDDO |
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409 | ! !$OMP END CRITICAL |
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410 | ! ELSEIF ( outflow_s .AND. j == nys ) THEN |
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411 | ! !$OMP CRITICAL |
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412 | ! DO k = nzb, nzt+1 |
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413 | ! uvmean_outflow_l(k) = uvmean_outflow_l(k) + u(k,nys,i) |
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414 | ! ENDDO |
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415 | ! !$OMP END CRITICAL |
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416 | ! ELSEIF ( outflow_n .AND. j == nyn ) THEN |
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417 | ! !$OMP CRITICAL |
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418 | ! DO k = nzb, nzt+1 |
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419 | ! uvmean_outflow_l(k) = uvmean_outflow_l(k) + u(k,nyn,i) |
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420 | ! ENDDO |
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421 | ! !$OMP END CRITICAL |
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422 | ! ENDIF |
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423 | |
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424 | ! |
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425 | !-- Sum up the volume flow through the right and north boundary |
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426 | IF ( conserve_volume_flow .AND. i == nx ) THEN |
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427 | !$OMP CRITICAL |
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428 | DO k = nzb_2d(j,i) + 1, nzt |
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429 | volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzu(k) |
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430 | ENDDO |
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431 | !$OMP END CRITICAL |
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432 | ENDIF |
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433 | IF ( conserve_volume_flow .AND. j == ny ) THEN |
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434 | !$OMP CRITICAL |
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435 | DO k = nzb_2d(j,i) + 1, nzt |
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436 | volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzu(k) |
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437 | ENDDO |
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438 | !$OMP END CRITICAL |
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439 | ENDIF |
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440 | |
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441 | ENDDO |
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442 | ENDDO |
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443 | !$OMP END PARALLEL |
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444 | |
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445 | ! |
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446 | !-- Conserve the volume flow |
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447 | IF ( conserve_volume_flow ) THEN |
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448 | |
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449 | #if defined( __parallel ) |
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450 | CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 2, MPI_REAL, & |
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451 | MPI_SUM, comm2d, ierr ) |
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452 | #else |
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453 | volume_flow = volume_flow_l |
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454 | #endif |
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455 | |
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456 | volume_flow_offset = ( volume_flow_initial - volume_flow ) / & |
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457 | volume_flow_area |
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458 | |
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459 | !$OMP PARALLEL PRIVATE (i,j,k) |
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460 | !$OMP DO |
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461 | DO i = nxl, nxr |
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462 | DO j = nys, nyn |
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463 | DO k = nzb_u_inner(j,i) + 1, nzt |
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464 | u(k,j,i) = u(k,j,i) + volume_flow_offset(1) |
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465 | ENDDO |
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466 | DO k = nzb_v_inner(j,i) + 1, nzt |
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467 | v(k,j,i) = v(k,j,i) + volume_flow_offset(2) |
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468 | ENDDO |
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469 | ENDDO |
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470 | ENDDO |
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471 | !$OMP END PARALLEL |
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472 | |
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473 | ENDIF |
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474 | |
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475 | ! |
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476 | !-- Exchange of boundaries for the velocities |
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477 | CALL exchange_horiz( u, uxrp, 0 ) |
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478 | CALL exchange_horiz( v, 0, vynp ) |
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479 | CALL exchange_horiz( w, 0, 0 ) |
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480 | |
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481 | ! |
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482 | !-- Compute the divergence of the corrected velocity field, |
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483 | !-- a possible PE-sum is computed in flow_statistics |
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484 | CALL cpu_log( log_point_s(1), 'divergence', 'start' ) |
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485 | sums_divnew_l = 0.0 |
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486 | |
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487 | ! |
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488 | !-- d must be reset to zero because it can contain nonzero values below the |
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489 | !-- topography |
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490 | IF ( topography /= 'flat' ) d = 0.0 |
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491 | |
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492 | localsum = 0.0 |
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493 | threadsum = 0.0 |
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494 | |
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495 | !$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum) |
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496 | !$OMP DO SCHEDULE( STATIC ) |
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497 | #if defined( __ibm ) |
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498 | DO i = nxl, nxr |
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499 | DO j = nys, nyn |
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500 | DO k = nzb_s_inner(j,i)+1, nzt |
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501 | d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
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502 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
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503 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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504 | ENDDO |
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505 | DO k = nzb+1, nzt |
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506 | threadsum = threadsum + ABS( d(k,j,i) ) |
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507 | ENDDO |
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508 | ENDDO |
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509 | ENDDO |
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510 | #else |
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511 | DO i = nxl, nxr |
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512 | DO j = nys, nyn |
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513 | DO k = nzb_s_inner(j,i)+1, nzt |
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514 | d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
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515 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
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516 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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517 | threadsum = threadsum + ABS( d(k,j,i) ) |
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518 | ENDDO |
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519 | ENDDO |
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520 | ENDDO |
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521 | #endif |
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522 | localsum = localsum + threadsum |
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523 | !$OMP END PARALLEL |
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524 | |
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525 | ! |
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526 | !-- For completeness, set the divergence sum of all statistic regions to those |
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527 | !-- of the total domain |
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528 | sums_divnew_l(0:statistic_regions) = localsum |
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529 | |
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530 | CALL cpu_log( log_point_s(1), 'divergence', 'stop' ) |
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531 | |
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532 | CALL cpu_log( log_point(8), 'pres', 'stop' ) |
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533 | |
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534 | |
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535 | END SUBROUTINE pres |
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