1 | MODULE diffusion_w_mod |
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2 | |
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3 | !------------------------------------------------------------------------------! |
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4 | ! Current revisions: |
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5 | ! ----------------- |
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6 | ! |
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7 | ! Former revisions: |
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8 | ! ----------------- |
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9 | ! $Id: diffusion_w.f90 668 2010-12-23 13:22:58Z suehring $ |
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10 | ! |
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11 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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12 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng |
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13 | ! |
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14 | ! 366 2009-08-25 08:06:27Z raasch |
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15 | ! bc_lr/bc_ns replaced by bc_lr_cyc/bc_ns_cyc |
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16 | ! |
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17 | ! 75 2007-03-22 09:54:05Z raasch |
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18 | ! Wall functions now include diabatic conditions, call of routine wall_fluxes, |
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19 | ! z0 removed from argument list |
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20 | ! |
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21 | ! 20 2007-02-26 00:12:32Z raasch |
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22 | ! Bugfix: ddzw dimensioned 1:nzt"+1" |
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23 | ! |
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24 | ! RCS Log replace by Id keyword, revision history cleaned up |
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25 | ! |
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26 | ! Revision 1.12 2006/02/23 10:38:03 raasch |
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27 | ! nzb_2d replaced by nzb_w_outer, wall functions added for all vertical walls, |
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28 | ! +z0 in argument list |
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29 | ! WARNING: loops containing the MAX function are still not properly vectorized! |
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30 | ! |
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31 | ! Revision 1.1 1997/09/12 06:24:11 raasch |
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32 | ! Initial revision |
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33 | ! |
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34 | ! |
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35 | ! Description: |
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36 | ! ------------ |
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37 | ! Diffusion term of the w-component |
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38 | !------------------------------------------------------------------------------! |
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39 | |
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40 | USE wall_fluxes_mod |
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41 | |
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42 | PRIVATE |
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43 | PUBLIC diffusion_w |
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44 | |
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45 | INTERFACE diffusion_w |
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46 | MODULE PROCEDURE diffusion_w |
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47 | MODULE PROCEDURE diffusion_w_ij |
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48 | END INTERFACE diffusion_w |
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49 | |
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50 | CONTAINS |
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51 | |
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52 | |
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53 | !------------------------------------------------------------------------------! |
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54 | ! Call for all grid points |
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55 | !------------------------------------------------------------------------------! |
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56 | SUBROUTINE diffusion_w( ddzu, ddzw, km, km_damp_x, km_damp_y, tend, u, v, & |
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57 | w ) |
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58 | |
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59 | USE control_parameters |
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60 | USE grid_variables |
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61 | USE indices |
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62 | |
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63 | IMPLICIT NONE |
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64 | |
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65 | INTEGER :: i, j, k |
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66 | REAL :: kmxm_x, kmxm_z, kmxp_x, kmxp_z, kmym_y, kmym_z, kmyp_y, & |
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67 | kmyp_z |
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68 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1), km_damp_x(nxlg:nxrg), & |
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69 | km_damp_y(nysg:nyng) |
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70 | REAL :: tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) |
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71 | REAL, DIMENSION(:,:,:), POINTER :: km, u, v, w |
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72 | REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsus, wsvs |
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73 | |
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74 | |
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75 | ! |
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76 | !-- First calculate horizontal momentum flux w'u' and/or w'v' at vertical |
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77 | !-- walls, if neccessary |
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78 | IF ( topography /= 'flat' ) THEN |
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79 | CALL wall_fluxes( wsus, 0.0, 0.0, 0.0, 1.0, nzb_w_inner, & |
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80 | nzb_w_outer, wall_w_x ) |
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81 | CALL wall_fluxes( wsvs, 0.0, 0.0, 1.0, 0.0, nzb_w_inner, & |
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82 | nzb_w_outer, wall_w_y ) |
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83 | ENDIF |
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84 | |
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85 | DO i = nxl, nxr |
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86 | DO j = nys, nyn |
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87 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
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88 | ! |
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89 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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90 | kmxp_x = 0.25 * & |
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91 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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92 | kmxm_x = 0.25 * & |
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93 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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94 | kmxp_z = kmxp_x |
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95 | kmxm_z = kmxm_x |
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96 | kmyp_y = 0.25 * & |
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97 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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98 | kmym_y = 0.25 * & |
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99 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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100 | kmyp_z = kmyp_y |
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101 | kmym_z = kmym_y |
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102 | ! |
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103 | !-- Increase diffusion at the outflow boundary in case of |
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104 | !-- non-cyclic lateral boundaries. Damping is only needed for |
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105 | !-- velocity components parallel to the outflow boundary in |
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106 | !-- the direction normal to the outflow boundary. |
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107 | IF ( .NOT. bc_lr_cyc ) THEN |
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108 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
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109 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
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110 | ENDIF |
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111 | IF ( .NOT. bc_ns_cyc ) THEN |
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112 | kmyp_y = MAX( kmyp_y, km_damp_y(j) ) |
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113 | kmym_y = MAX( kmym_y, km_damp_y(j) ) |
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114 | ENDIF |
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115 | |
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116 | tend(k,j,i) = tend(k,j,i) & |
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117 | & + ( kmxp_x * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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118 | & + kmxp_z * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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119 | & - kmxm_x * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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120 | & - kmxm_z * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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121 | & ) * ddx & |
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122 | & + ( kmyp_y * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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123 | & + kmyp_z * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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124 | & - kmym_y * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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125 | & - kmym_z * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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126 | & ) * ddy & |
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127 | & + 2.0 * ( & |
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128 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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129 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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130 | & ) * ddzu(k+1) |
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131 | ENDDO |
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132 | |
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133 | ! |
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134 | !-- Wall functions at all vertical walls, where necessary |
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135 | IF ( wall_w_x(j,i) /= 0.0 .OR. wall_w_y(j,i) /= 0.0 ) THEN |
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136 | |
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137 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
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138 | ! |
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139 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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140 | kmxp_x = 0.25 * & |
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141 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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142 | kmxm_x = 0.25 * & |
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143 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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144 | kmxp_z = kmxp_x |
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145 | kmxm_z = kmxm_x |
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146 | kmyp_y = 0.25 * & |
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147 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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148 | kmym_y = 0.25 * & |
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149 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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150 | kmyp_z = kmyp_y |
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151 | kmym_z = kmym_y |
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152 | ! |
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153 | !-- Increase diffusion at the outflow boundary in case of |
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154 | !-- non-cyclic lateral boundaries. Damping is only needed for |
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155 | !-- velocity components parallel to the outflow boundary in |
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156 | !-- the direction normal to the outflow boundary. |
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157 | IF ( .NOT. bc_lr_cyc ) THEN |
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158 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
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159 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
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160 | ENDIF |
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161 | IF ( .NOT. bc_ns_cyc ) THEN |
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162 | kmyp_y = MAX( kmyp_y, km_damp_y(j) ) |
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163 | kmym_y = MAX( kmym_y, km_damp_y(j) ) |
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164 | ENDIF |
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165 | |
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166 | tend(k,j,i) = tend(k,j,i) & |
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167 | + ( fwxp(j,i) * ( & |
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168 | kmxp_x * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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169 | + kmxp_z * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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170 | ) & |
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171 | - fwxm(j,i) * ( & |
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172 | kmxm_x * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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173 | + kmxm_z * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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174 | ) & |
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175 | + wall_w_x(j,i) * wsus(k,j,i) & |
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176 | ) * ddx & |
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177 | + ( fwyp(j,i) * ( & |
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178 | kmyp_y * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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179 | + kmyp_z * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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180 | ) & |
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181 | - fwym(j,i) * ( & |
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182 | kmym_y * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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183 | + kmym_z * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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184 | ) & |
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185 | + wall_w_y(j,i) * wsvs(k,j,i) & |
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186 | ) * ddy & |
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187 | + 2.0 * ( & |
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188 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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189 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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190 | ) * ddzu(k+1) |
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191 | ENDDO |
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192 | ENDIF |
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193 | |
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194 | ENDDO |
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195 | ENDDO |
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196 | |
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197 | END SUBROUTINE diffusion_w |
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198 | |
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199 | |
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200 | !------------------------------------------------------------------------------! |
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201 | ! Call for grid point i,j |
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202 | !------------------------------------------------------------------------------! |
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203 | SUBROUTINE diffusion_w_ij( i, j, ddzu, ddzw, km, km_damp_x, km_damp_y, & |
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204 | tend, u, v, w ) |
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205 | |
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206 | USE control_parameters |
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207 | USE grid_variables |
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208 | USE indices |
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209 | |
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210 | IMPLICIT NONE |
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211 | |
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212 | INTEGER :: i, j, k |
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213 | REAL :: kmxm_x, kmxm_z, kmxp_x, kmxp_z, kmym_y, kmym_z, kmyp_y, & |
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214 | kmyp_z |
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215 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1), km_damp_x(nxlg:nxrg), & |
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216 | km_damp_y(nysg:nyng) |
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217 | REAL :: tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) |
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218 | REAL, DIMENSION(nzb:nzt+1) :: wsus, wsvs |
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219 | REAL, DIMENSION(:,:,:), POINTER :: km, u, v, w |
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220 | |
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221 | |
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222 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
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223 | ! |
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224 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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225 | 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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226 | 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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227 | kmxp_z = kmxp_x |
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228 | kmxm_z = kmxm_x |
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229 | 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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230 | 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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231 | kmyp_z = kmyp_y |
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232 | kmym_z = kmym_y |
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233 | ! |
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234 | !-- Increase diffusion at the outflow boundary in case of non-cyclic |
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235 | !-- lateral boundaries. Damping is only needed for velocity components |
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236 | !-- parallel to the outflow boundary in the direction normal to the |
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237 | !-- outflow boundary. |
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238 | IF ( .NOT. bc_lr_cyc ) THEN |
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239 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
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240 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
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241 | ENDIF |
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242 | IF ( .NOT. bc_ns_cyc ) THEN |
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243 | kmyp_y = MAX( kmyp_y, km_damp_y(j) ) |
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244 | kmym_y = MAX( kmym_y, km_damp_y(j) ) |
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245 | ENDIF |
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246 | |
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247 | tend(k,j,i) = tend(k,j,i) & |
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248 | & + ( kmxp_x * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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249 | & + kmxp_z * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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250 | & - kmxm_x * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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251 | & - kmxm_z * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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252 | & ) * ddx & |
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253 | & + ( kmyp_y * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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254 | & + kmyp_z * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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255 | & - kmym_y * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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256 | & - kmym_z * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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257 | & ) * ddy & |
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258 | & + 2.0 * ( & |
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259 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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260 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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261 | & ) * ddzu(k+1) |
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262 | ENDDO |
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263 | |
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264 | ! |
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265 | !-- Wall functions at all vertical walls, where necessary |
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266 | IF ( wall_w_x(j,i) /= 0.0 .OR. wall_w_y(j,i) /= 0.0 ) THEN |
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267 | |
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268 | ! |
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269 | !-- Calculate the horizontal momentum fluxes w'u' and/or w'v' |
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270 | IF ( wall_w_x(j,i) /= 0.0 ) THEN |
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271 | CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), & |
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272 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
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273 | ELSE |
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274 | wsus = 0.0 |
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275 | ENDIF |
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276 | |
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277 | IF ( wall_w_y(j,i) /= 0.0 ) THEN |
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278 | CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), & |
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279 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
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280 | ELSE |
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281 | wsvs = 0.0 |
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282 | ENDIF |
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283 | |
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284 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
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285 | ! |
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286 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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287 | 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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288 | 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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289 | kmxp_z = kmxp_x |
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290 | kmxm_z = kmxm_x |
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291 | 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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292 | 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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293 | kmyp_z = kmyp_y |
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294 | kmym_z = kmym_y |
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295 | ! |
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296 | !-- Increase diffusion at the outflow boundary in case of |
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297 | !-- non-cyclic lateral boundaries. Damping is only needed for |
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298 | !-- velocity components parallel to the outflow boundary in |
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299 | !-- the direction normal to the outflow boundary. |
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300 | IF ( .NOT. bc_lr_cyc ) THEN |
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301 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
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302 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
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303 | ENDIF |
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304 | IF ( .NOT. bc_ns_cyc ) THEN |
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305 | kmyp_y = MAX( kmyp_y, km_damp_y(j) ) |
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306 | kmym_y = MAX( kmym_y, km_damp_y(j) ) |
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307 | ENDIF |
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308 | |
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309 | tend(k,j,i) = tend(k,j,i) & |
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310 | + ( fwxp(j,i) * ( & |
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311 | kmxp_x * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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312 | + kmxp_z * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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313 | ) & |
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314 | - fwxm(j,i) * ( & |
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315 | kmxm_x * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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316 | + kmxm_z * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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317 | ) & |
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318 | + wall_w_x(j,i) * wsus(k) & |
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319 | ) * ddx & |
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320 | + ( fwyp(j,i) * ( & |
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321 | kmyp_y * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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322 | + kmyp_z * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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323 | ) & |
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324 | - fwym(j,i) * ( & |
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325 | kmym_y * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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326 | + kmym_z * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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327 | ) & |
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328 | + wall_w_y(j,i) * wsvs(k) & |
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329 | ) * ddy & |
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330 | + 2.0 * ( & |
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331 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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332 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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333 | ) * ddzu(k+1) |
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334 | ENDDO |
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335 | ENDIF |
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336 | |
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337 | END SUBROUTINE diffusion_w_ij |
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338 | |
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339 | END MODULE diffusion_w_mod |
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