1 | MODULE diffusion_w_mod |
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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: diffusion_w.f90 77 2007-03-29 04:26:56Z raasch $ |
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11 | ! |
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12 | ! 75 2007-03-22 09:54:05Z raasch |
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13 | ! Wall functions now include diabatic conditions, call of routine wall_fluxes, |
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14 | ! z0 removed from argument list |
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15 | ! |
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16 | ! 20 2007-02-26 00:12:32Z raasch |
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17 | ! Bugfix: ddzw dimensioned 1:nzt"+1" |
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18 | ! |
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19 | ! RCS Log replace by Id keyword, revision history cleaned up |
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20 | ! |
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21 | ! Revision 1.12 2006/02/23 10:38:03 raasch |
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22 | ! nzb_2d replaced by nzb_w_outer, wall functions added for all vertical walls, |
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23 | ! +z0 in argument list |
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24 | ! WARNING: loops containing the MAX function are still not properly vectorized! |
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25 | ! |
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26 | ! Revision 1.1 1997/09/12 06:24:11 raasch |
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27 | ! Initial revision |
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28 | ! |
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29 | ! |
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30 | ! Description: |
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31 | ! ------------ |
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32 | ! Diffusion term of the w-component |
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33 | !------------------------------------------------------------------------------! |
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34 | |
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35 | USE wall_fluxes_mod |
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36 | |
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37 | PRIVATE |
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38 | PUBLIC diffusion_w |
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39 | |
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40 | INTERFACE diffusion_w |
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41 | MODULE PROCEDURE diffusion_w |
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42 | MODULE PROCEDURE diffusion_w_ij |
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43 | END INTERFACE diffusion_w |
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44 | |
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45 | CONTAINS |
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46 | |
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47 | |
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48 | !------------------------------------------------------------------------------! |
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49 | ! Call for all grid points |
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50 | !------------------------------------------------------------------------------! |
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51 | SUBROUTINE diffusion_w( ddzu, ddzw, km, km_damp_x, km_damp_y, tend, u, v, & |
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52 | w ) |
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53 | |
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54 | USE control_parameters |
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55 | USE grid_variables |
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56 | USE indices |
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57 | |
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58 | IMPLICIT NONE |
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59 | |
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60 | INTEGER :: i, j, k |
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61 | REAL :: kmxm_x, kmxm_z, kmxp_x, kmxp_z, kmym_y, kmym_z, kmyp_y, & |
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62 | kmyp_z |
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63 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1), km_damp_x(nxl-1:nxr+1), & |
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64 | km_damp_y(nys-1:nyn+1) |
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65 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
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66 | REAL, DIMENSION(:,:,:), POINTER :: km, u, v, w |
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67 | REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsus, wsvs |
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68 | |
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69 | |
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70 | ! |
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71 | !-- First calculate horizontal momentum flux w'u' and/or w'v' at vertical |
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72 | !-- walls, if neccessary |
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73 | IF ( topography /= 'flat' ) THEN |
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74 | CALL wall_fluxes( wsus, 0.0, 0.0, 0.0, 1.0, nzb_w_inner, & |
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75 | nzb_w_outer, wall_w_x ) |
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76 | CALL wall_fluxes( wsvs, 0.0, 0.0, 1.0, 0.0, nzb_w_inner, & |
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77 | nzb_w_outer, wall_w_y ) |
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78 | ENDIF |
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79 | |
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80 | DO i = nxl, nxr |
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81 | DO j = nys, nyn |
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82 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
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83 | ! |
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84 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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85 | kmxp_x = 0.25 * & |
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86 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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87 | kmxm_x = 0.25 * & |
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88 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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89 | kmxp_z = kmxp_x |
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90 | kmxm_z = kmxm_x |
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91 | kmyp_y = 0.25 * & |
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92 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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93 | kmym_y = 0.25 * & |
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94 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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95 | kmyp_z = kmyp_y |
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96 | kmym_z = kmym_y |
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97 | ! |
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98 | !-- Increase diffusion at the outflow boundary in case of |
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99 | !-- non-cyclic lateral boundaries. Damping is only needed for |
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100 | !-- velocity components parallel to the outflow boundary in |
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101 | !-- the direction normal to the outflow boundary. |
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102 | IF ( bc_lr /= 'cyclic' ) THEN |
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103 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
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104 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
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105 | ENDIF |
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106 | IF ( bc_ns /= 'cyclic' ) THEN |
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107 | kmyp_y = MAX( kmyp_y, km_damp_y(j) ) |
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108 | kmym_y = MAX( kmym_y, km_damp_y(j) ) |
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109 | ENDIF |
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110 | |
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111 | tend(k,j,i) = tend(k,j,i) & |
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112 | & + ( kmxp_x * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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113 | & + kmxp_z * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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114 | & - kmxm_x * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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115 | & - kmxm_z * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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116 | & ) * ddx & |
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117 | & + ( kmyp_y * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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118 | & + kmyp_z * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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119 | & - kmym_y * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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120 | & - kmym_z * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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121 | & ) * ddy & |
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122 | & + 2.0 * ( & |
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123 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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124 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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125 | & ) * ddzu(k+1) |
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126 | ENDDO |
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127 | |
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128 | ! |
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129 | !-- Wall functions at all vertical walls, where necessary |
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130 | IF ( wall_w_x(j,i) /= 0.0 .OR. wall_w_y(j,i) /= 0.0 ) THEN |
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131 | |
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132 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
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133 | ! |
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134 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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135 | kmxp_x = 0.25 * & |
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136 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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137 | kmxm_x = 0.25 * & |
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138 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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139 | kmxp_z = kmxp_x |
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140 | kmxm_z = kmxm_x |
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141 | kmyp_y = 0.25 * & |
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142 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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143 | kmym_y = 0.25 * & |
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144 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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145 | kmyp_z = kmyp_y |
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146 | kmym_z = kmym_y |
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147 | ! |
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148 | !-- Increase diffusion at the outflow boundary in case of |
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149 | !-- non-cyclic lateral boundaries. Damping is only needed for |
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150 | !-- velocity components parallel to the outflow boundary in |
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151 | !-- the direction normal to the outflow boundary. |
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152 | IF ( bc_lr /= 'cyclic' ) THEN |
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153 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
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154 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
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155 | ENDIF |
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156 | IF ( bc_ns /= 'cyclic' ) THEN |
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157 | kmyp_y = MAX( kmyp_y, km_damp_y(j) ) |
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158 | kmym_y = MAX( kmym_y, km_damp_y(j) ) |
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159 | ENDIF |
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160 | |
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161 | tend(k,j,i) = tend(k,j,i) & |
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162 | + ( fwxp(j,i) * ( & |
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163 | kmxp_x * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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164 | + kmxp_z * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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165 | ) & |
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166 | - fwxm(j,i) * ( & |
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167 | kmxm_x * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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168 | + kmxm_z * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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169 | ) & |
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170 | + wall_w_x(j,i) * wsus(k,j,i) & |
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171 | ) * ddx & |
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172 | + ( fwyp(j,i) * ( & |
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173 | kmyp_y * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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174 | + kmyp_z * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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175 | ) & |
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176 | - fwym(j,i) * ( & |
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177 | kmym_y * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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178 | + kmym_z * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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179 | ) & |
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180 | + wall_w_y(j,i) * wsvs(k,j,i) & |
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181 | ) * ddy & |
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182 | + 2.0 * ( & |
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183 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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184 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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185 | ) * ddzu(k+1) |
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186 | ENDDO |
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187 | ENDIF |
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188 | |
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189 | ENDDO |
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190 | ENDDO |
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191 | |
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192 | END SUBROUTINE diffusion_w |
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193 | |
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194 | |
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195 | !------------------------------------------------------------------------------! |
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196 | ! Call for grid point i,j |
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197 | !------------------------------------------------------------------------------! |
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198 | SUBROUTINE diffusion_w_ij( i, j, ddzu, ddzw, km, km_damp_x, km_damp_y, & |
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199 | tend, u, v, w ) |
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200 | |
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201 | USE control_parameters |
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202 | USE grid_variables |
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203 | USE indices |
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204 | |
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205 | IMPLICIT NONE |
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206 | |
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207 | INTEGER :: i, j, k |
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208 | REAL :: kmxm_x, kmxm_z, kmxp_x, kmxp_z, kmym_y, kmym_z, kmyp_y, & |
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209 | kmyp_z |
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210 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1), km_damp_x(nxl-1:nxr+1), & |
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211 | km_damp_y(nys-1:nyn+1) |
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212 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
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213 | REAL, DIMENSION(nzb:nzt+1) :: wsus, wsvs |
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214 | REAL, DIMENSION(:,:,:), POINTER :: km, u, v, w |
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215 | |
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216 | |
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217 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
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218 | ! |
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219 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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220 | kmxp_x = 0.25 * ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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221 | kmxm_x = 0.25 * ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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222 | kmxp_z = kmxp_x |
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223 | kmxm_z = kmxm_x |
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224 | kmyp_y = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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225 | kmym_y = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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226 | kmyp_z = kmyp_y |
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227 | kmym_z = kmym_y |
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228 | ! |
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229 | !-- Increase diffusion at the outflow boundary in case of non-cyclic |
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230 | !-- lateral boundaries. Damping is only needed for velocity components |
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231 | !-- parallel to the outflow boundary in the direction normal to the |
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232 | !-- outflow boundary. |
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233 | IF ( bc_lr /= 'cyclic' ) THEN |
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234 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
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235 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
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236 | ENDIF |
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237 | IF ( bc_ns /= 'cyclic' ) THEN |
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238 | kmyp_y = MAX( kmyp_y, km_damp_y(j) ) |
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239 | kmym_y = MAX( kmym_y, km_damp_y(j) ) |
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240 | ENDIF |
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241 | |
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242 | tend(k,j,i) = tend(k,j,i) & |
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243 | & + ( kmxp_x * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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244 | & + kmxp_z * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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245 | & - kmxm_x * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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246 | & - kmxm_z * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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247 | & ) * ddx & |
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248 | & + ( kmyp_y * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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249 | & + kmyp_z * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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250 | & - kmym_y * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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251 | & - kmym_z * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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252 | & ) * ddy & |
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253 | & + 2.0 * ( & |
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254 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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255 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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256 | & ) * ddzu(k+1) |
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257 | ENDDO |
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258 | |
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259 | ! |
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260 | !-- Wall functions at all vertical walls, where necessary |
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261 | IF ( wall_w_x(j,i) /= 0.0 .OR. wall_w_y(j,i) /= 0.0 ) THEN |
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262 | |
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263 | ! |
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264 | !-- Calculate the horizontal momentum fluxes w'u' and/or w'v' |
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265 | IF ( wall_w_x(j,i) /= 0.0 ) THEN |
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266 | CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), & |
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267 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
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268 | ELSE |
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269 | wsus = 0.0 |
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270 | ENDIF |
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271 | |
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272 | IF ( wall_w_y(j,i) /= 0.0 ) THEN |
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273 | CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), & |
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274 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
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275 | ELSE |
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276 | wsvs = 0.0 |
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277 | ENDIF |
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278 | |
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279 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
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280 | ! |
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281 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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282 | kmxp_x = 0.25 * ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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283 | kmxm_x = 0.25 * ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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284 | kmxp_z = kmxp_x |
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285 | kmxm_z = kmxm_x |
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286 | kmyp_y = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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287 | kmym_y = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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288 | kmyp_z = kmyp_y |
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289 | kmym_z = kmym_y |
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290 | ! |
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291 | !-- Increase diffusion at the outflow boundary in case of |
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292 | !-- non-cyclic lateral boundaries. Damping is only needed for |
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293 | !-- velocity components parallel to the outflow boundary in |
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294 | !-- the direction normal to the outflow boundary. |
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295 | IF ( bc_lr /= 'cyclic' ) THEN |
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296 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
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297 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
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298 | ENDIF |
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299 | IF ( bc_ns /= 'cyclic' ) THEN |
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300 | kmyp_y = MAX( kmyp_y, km_damp_y(j) ) |
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301 | kmym_y = MAX( kmym_y, km_damp_y(j) ) |
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302 | ENDIF |
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303 | |
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304 | tend(k,j,i) = tend(k,j,i) & |
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305 | + ( fwxp(j,i) * ( & |
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306 | kmxp_x * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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307 | + kmxp_z * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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308 | ) & |
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309 | - fwxm(j,i) * ( & |
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310 | kmxm_x * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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311 | + kmxm_z * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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312 | ) & |
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313 | + wall_w_x(j,i) * wsus(k) & |
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314 | ) * ddx & |
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315 | + ( fwyp(j,i) * ( & |
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316 | kmyp_y * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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317 | + kmyp_z * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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318 | ) & |
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319 | - fwym(j,i) * ( & |
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320 | kmym_y * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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321 | + kmym_z * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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322 | ) & |
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323 | + wall_w_y(j,i) * wsvs(k) & |
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324 | ) * ddy & |
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325 | + 2.0 * ( & |
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326 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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327 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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328 | ) * ddzu(k+1) |
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329 | ENDDO |
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330 | ENDIF |
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331 | |
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332 | END SUBROUTINE diffusion_w_ij |
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333 | |
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334 | END MODULE diffusion_w_mod |
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