1 | MODULE diffusion_s_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_s.f90 139 2007-11-29 09:37:41Z raasch $ |
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11 | ! |
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12 | ! 129 2007-10-30 12:12:24Z letzel |
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13 | ! replace wall_heatflux by wall_s_flux that is now included in the parameter |
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14 | ! list, bugfix for assignment of fluxes at walls |
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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 | ! Calculation extended for gridpoint nzt, fluxes can be given at top, |
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19 | ! +s_flux_t in parameter list, s_flux renamed s_flux_b |
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20 | ! |
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21 | ! RCS Log replace by Id keyword, revision history cleaned up |
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22 | ! |
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23 | ! Revision 1.8 2006/02/23 10:34:17 raasch |
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24 | ! nzb_2d replaced by nzb_s_outer in horizontal diffusion and by nzb_s_inner |
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25 | ! or nzb_diff_s_inner, respectively, in vertical diffusion, prescribed surface |
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26 | ! fluxes at vertically oriented topography |
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27 | ! |
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28 | ! Revision 1.1 2000/04/13 14:54:02 schroeter |
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29 | ! Initial revision |
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30 | ! |
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31 | ! |
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32 | ! Description: |
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33 | ! ------------ |
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34 | ! Diffusion term of scalar quantities (temperature and water content) |
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35 | !------------------------------------------------------------------------------! |
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36 | |
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37 | PRIVATE |
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38 | PUBLIC diffusion_s |
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39 | |
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40 | INTERFACE diffusion_s |
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41 | MODULE PROCEDURE diffusion_s |
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42 | MODULE PROCEDURE diffusion_s_ij |
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43 | END INTERFACE diffusion_s |
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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_s( ddzu, ddzw, kh, s, s_flux_b, s_flux_t, & |
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52 | wall_s_flux, tend ) |
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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 :: vertical_gridspace |
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62 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1) |
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63 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
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64 | REAL :: wall_s_flux(0:4) |
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65 | REAL, DIMENSION(:,:), POINTER :: s_flux_b, s_flux_t |
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66 | REAL, DIMENSION(:,:,:), POINTER :: kh, s |
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67 | |
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68 | DO i = nxl, nxr |
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69 | DO j = nys,nyn |
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70 | ! |
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71 | !-- Compute horizontal diffusion |
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72 | DO k = nzb_s_outer(j,i)+1, nzt |
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73 | |
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74 | tend(k,j,i) = tend(k,j,i) & |
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75 | + 0.5 * ( & |
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76 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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77 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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78 | ) * ddx2 & |
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79 | + 0.5 * ( & |
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80 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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81 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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82 | ) * ddy2 |
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83 | ENDDO |
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84 | |
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85 | ! |
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86 | !-- Apply prescribed horizontal wall heatflux where necessary |
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87 | IF ( ( wall_w_x(j,i) .NE. 0.0 ) .OR. ( wall_w_y(j,i) .NE. 0.0 ) ) & |
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88 | THEN |
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89 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
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90 | |
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91 | tend(k,j,i) = tend(k,j,i) & |
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92 | + 0.5 * ( fwxp(j,i) * & |
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93 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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94 | + ( 1.0 - fwxp(j,i) ) * wall_s_flux(1) & |
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95 | -fwxm(j,i) * & |
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96 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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97 | + ( 1.0 - fwxm(j,i) ) * wall_s_flux(2) & |
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98 | ) * ddx2 & |
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99 | + 0.5 * ( fwyp(j,i) * & |
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100 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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101 | + ( 1.0 - fwyp(j,i) ) * wall_s_flux(3) & |
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102 | -fwym(j,i) * & |
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103 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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104 | + ( 1.0 - fwym(j,i) ) * wall_s_flux(4) & |
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105 | ) * ddy2 |
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106 | ENDDO |
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107 | ENDIF |
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108 | |
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109 | ! |
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110 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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111 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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112 | !-- nzb+2 or nzt-1, respectively. |
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113 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
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114 | |
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115 | tend(k,j,i) = tend(k,j,i) & |
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116 | + 0.5 * ( & |
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117 | ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
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118 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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119 | ) * ddzw(k) |
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120 | ENDDO |
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121 | |
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122 | ! |
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123 | !-- Vertical diffusion at the first computational gridpoint along |
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124 | !-- z-direction |
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125 | IF ( use_surface_fluxes ) THEN |
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126 | |
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127 | k = nzb_s_inner(j,i)+1 |
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128 | |
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129 | tend(k,j,i) = tend(k,j,i) & |
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130 | + ( 0.5 * ( kh(k,j,i)+kh(k+1,j,i) ) & |
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131 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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132 | * ddzu(k+1) & |
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133 | + s_flux_b(j,i) & |
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134 | ) * ddzw(k) |
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135 | |
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136 | ENDIF |
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137 | |
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138 | ! |
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139 | !-- Vertical diffusion at the last computational gridpoint along |
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140 | !-- z-direction |
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141 | IF ( use_top_fluxes ) THEN |
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142 | |
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143 | k = nzt |
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144 | |
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145 | tend(k,j,i) = tend(k,j,i) & |
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146 | + ( - s_flux_t(j,i) & |
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147 | - 0.5 * ( kh(k-1,j,i)+kh(k,j,i) ) & |
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148 | * ( s(k,j,i)-s(k-1,j,i) ) & |
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149 | * ddzu(k) & |
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150 | ) * ddzw(k) |
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151 | |
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152 | ENDIF |
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153 | |
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154 | ENDDO |
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155 | ENDDO |
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156 | |
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157 | END SUBROUTINE diffusion_s |
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158 | |
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159 | |
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160 | !------------------------------------------------------------------------------! |
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161 | ! Call for grid point i,j |
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162 | !------------------------------------------------------------------------------! |
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163 | SUBROUTINE diffusion_s_ij( i, j, ddzu, ddzw, kh, s, s_flux_b, s_flux_t, & |
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164 | wall_s_flux, tend ) |
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165 | |
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166 | USE control_parameters |
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167 | USE grid_variables |
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168 | USE indices |
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169 | |
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170 | IMPLICIT NONE |
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171 | |
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172 | INTEGER :: i, j, k |
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173 | REAL :: vertical_gridspace |
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174 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1) |
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175 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
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176 | REAL :: wall_s_flux(0:4) |
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177 | REAL, DIMENSION(:,:), POINTER :: s_flux_b, s_flux_t |
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178 | REAL, DIMENSION(:,:,:), POINTER :: kh, s |
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179 | |
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180 | ! |
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181 | !-- Compute horizontal diffusion |
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182 | DO k = nzb_s_outer(j,i)+1, nzt |
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183 | |
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184 | tend(k,j,i) = tend(k,j,i) & |
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185 | + 0.5 * ( & |
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186 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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187 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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188 | ) * ddx2 & |
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189 | + 0.5 * ( & |
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190 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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191 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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192 | ) * ddy2 |
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193 | ENDDO |
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194 | |
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195 | ! |
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196 | !-- Apply prescribed horizontal wall heatflux where necessary |
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197 | IF ( ( wall_w_x(j,i) .NE. 0.0 ) .OR. ( wall_w_y(j,i) .NE. 0.0 ) ) & |
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198 | THEN |
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199 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
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200 | |
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201 | tend(k,j,i) = tend(k,j,i) & |
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202 | + 0.5 * ( fwxp(j,i) * & |
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203 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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204 | + ( 1.0 - fwxp(j,i) ) * wall_s_flux(1) & |
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205 | -fwxm(j,i) * & |
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206 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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207 | + ( 1.0 - fwxm(j,i) ) * wall_s_flux(2) & |
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208 | ) * ddx2 & |
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209 | + 0.5 * ( fwyp(j,i) * & |
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210 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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211 | + ( 1.0 - fwyp(j,i) ) * wall_s_flux(3) & |
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212 | -fwym(j,i) * & |
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213 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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214 | + ( 1.0 - fwym(j,i) ) * wall_s_flux(4) & |
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215 | ) * ddy2 |
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216 | ENDDO |
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217 | ENDIF |
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218 | |
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219 | ! |
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220 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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221 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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222 | !-- nzb+2 or nzt-1, respectively. |
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223 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
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224 | |
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225 | tend(k,j,i) = tend(k,j,i) & |
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226 | + 0.5 * ( & |
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227 | ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
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228 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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229 | ) * ddzw(k) |
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230 | ENDDO |
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231 | |
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232 | ! |
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233 | !-- Vertical diffusion at the first computational gridpoint along z-direction |
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234 | IF ( use_surface_fluxes ) THEN |
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235 | |
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236 | k = nzb_s_inner(j,i)+1 |
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237 | |
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238 | tend(k,j,i) = tend(k,j,i) + ( 0.5 * ( kh(k,j,i)+kh(k+1,j,i) ) & |
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239 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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240 | * ddzu(k+1) & |
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241 | + s_flux_b(j,i) & |
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242 | ) * ddzw(k) |
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243 | |
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244 | ENDIF |
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245 | |
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246 | ! |
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247 | !-- Vertical diffusion at the last computational gridpoint along z-direction |
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248 | IF ( use_top_fluxes ) THEN |
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249 | |
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250 | k = nzt |
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251 | |
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252 | tend(k,j,i) = tend(k,j,i) + ( - s_flux_t(j,i) & |
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253 | - 0.5 * ( kh(k-1,j,i)+kh(k,j,i) ) & |
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254 | * ( s(k,j,i)-s(k-1,j,i) ) & |
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255 | * ddzu(k) & |
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256 | ) * ddzw(k) |
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257 | |
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258 | ENDIF |
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259 | |
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260 | END SUBROUTINE diffusion_s_ij |
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261 | |
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262 | END MODULE diffusion_s_mod |
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