1 | MODULE production_e_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 | ! Wall functions now include diabatic conditions, call of routine wall_fluxes |
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7 | ! |
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8 | ! Former revisions: |
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9 | ! ----------------- |
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10 | ! $Id: production_e.f90 53 2007-03-07 12:33:47Z raasch $ |
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11 | ! |
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12 | ! 37 2007-03-01 08:33:54Z raasch |
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13 | ! Calculation extended for gridpoint nzt, extended for given temperature / |
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14 | ! humidity fluxes at the top, wall-part is now executed in case that a |
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15 | ! Prandtl-layer is switched on (instead of surfaces fluxes switched on) |
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16 | ! |
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17 | ! RCS Log replace by Id keyword, revision history cleaned up |
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18 | ! |
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19 | ! Revision 1.21 2006/04/26 12:45:35 raasch |
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20 | ! OpenMP parallelization of production_e_init |
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21 | ! |
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22 | ! Revision 1.1 1997/09/19 07:45:35 raasch |
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23 | ! Initial revision |
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24 | ! |
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25 | ! |
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26 | ! Description: |
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27 | ! ------------ |
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28 | ! Production terms (shear + buoyancy) of the TKE |
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29 | ! WARNING: the case with prandtl_layer = F and use_surface_fluxes = T is |
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30 | ! not considered well! |
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31 | !------------------------------------------------------------------------------! |
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32 | |
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33 | PRIVATE |
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34 | PUBLIC production_e, production_e_init |
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35 | |
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36 | LOGICAL, SAVE :: first_call = .TRUE. |
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37 | |
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38 | REAL, DIMENSION(:,:), ALLOCATABLE, SAVE :: u_0, v_0 |
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39 | |
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40 | INTERFACE production_e |
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41 | MODULE PROCEDURE production_e |
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42 | MODULE PROCEDURE production_e_ij |
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43 | END INTERFACE production_e |
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44 | |
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45 | INTERFACE production_e_init |
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46 | MODULE PROCEDURE production_e_init |
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47 | END INTERFACE production_e_init |
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48 | |
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49 | CONTAINS |
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50 | |
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51 | |
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52 | !------------------------------------------------------------------------------! |
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53 | ! Call for all grid points |
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54 | !------------------------------------------------------------------------------! |
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55 | SUBROUTINE production_e |
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56 | |
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57 | USE arrays_3d |
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58 | USE cloud_parameters |
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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 | USE statistics |
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63 | |
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64 | IMPLICIT NONE |
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65 | |
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66 | INTEGER :: i, j, k |
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67 | |
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68 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
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69 | k1, k2, theta, temp |
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70 | |
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71 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus, wsvs |
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72 | |
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73 | |
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74 | ! |
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75 | !-- Calculate TKE production by shear |
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76 | DO i = nxl, nxr |
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77 | |
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78 | DO j = nys, nyn |
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79 | DO k = nzb_diff_s_outer(j,i), nzt |
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80 | |
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81 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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82 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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83 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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84 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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85 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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86 | |
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87 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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88 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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89 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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90 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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91 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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92 | |
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93 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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94 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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95 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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96 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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97 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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98 | |
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99 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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100 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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101 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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102 | |
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103 | IF ( def < 0.0 ) def = 0.0 |
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104 | |
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105 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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106 | |
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107 | ENDDO |
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108 | ENDDO |
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109 | |
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110 | IF ( prandtl_layer ) THEN |
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111 | |
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112 | ! |
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113 | !-- Position neben Gebaeudewand |
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114 | !-- 2 - Wird immer ausgefuehrt. 'Boden und Wand: |
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115 | !-- u_0,v_0 und Wall functions' |
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116 | DO j = nys, nyn |
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117 | |
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118 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
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119 | THEN |
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120 | |
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121 | k = nzb_diff_s_inner(j,i) - 1 |
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122 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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123 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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124 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
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125 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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126 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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127 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
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128 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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129 | |
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130 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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131 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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132 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
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133 | |
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134 | dudy = wall_e_y(j,i) * usvs(k) / km(k,j,i) |
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135 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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136 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
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137 | dwdy = wall_e_y(j,i) * wsvs(k) / km(k,j,i) |
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138 | ELSE |
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139 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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140 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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141 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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142 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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143 | ENDIF |
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144 | |
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145 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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146 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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147 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
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148 | dvdx = wall_e_x(j,i) * vsus(k) / km(k,j,i) |
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149 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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150 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
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151 | dwdx = wall_e_x(j,i) * wsus(k) / km(k,j,i) |
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152 | ELSE |
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153 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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154 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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155 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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156 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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157 | ENDIF |
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158 | |
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159 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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160 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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161 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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162 | |
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163 | IF ( def < 0.0 ) def = 0.0 |
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164 | |
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165 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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166 | |
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167 | |
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168 | ! |
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169 | !-- 3 - Wird nur ausgefuehrt, wenn mindestens ein Niveau |
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170 | !-- zwischen 2 und 4 liegt, d.h. ab einer Gebaeudemindest- |
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171 | !-- hoehe von 2 dz. Die Wall fluxes sind in diesem Fall |
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172 | !-- schon unter (2) berechnet worden. 'Nur Wand: Wall functions' |
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173 | |
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174 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
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175 | |
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176 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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177 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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178 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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179 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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180 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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181 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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182 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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183 | |
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184 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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185 | dudy = wall_e_y(j,i) * usvs(k) / km(k,j,i) |
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186 | dwdy = wall_e_y(j,i) * wsvs(k) / km(k,j,i) |
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187 | ELSE |
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188 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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189 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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190 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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191 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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192 | ENDIF |
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193 | |
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194 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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195 | dvdx = wall_e_x(j,i) * vsus(k) / km(k,j,i) |
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196 | dwdx = wall_e_x(j,i) * wsus(k) / km(k,j,i) |
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197 | ELSE |
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198 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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199 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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200 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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201 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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202 | ENDIF |
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203 | |
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204 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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205 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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206 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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207 | |
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208 | IF ( def < 0.0 ) def = 0.0 |
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209 | |
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210 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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211 | |
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212 | ENDDO |
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213 | |
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214 | ENDIF |
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215 | |
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216 | ENDDO |
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217 | |
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218 | ! |
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219 | !-- 4 - Wird immer ausgefuehrt. |
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220 | !-- 'Sonderfall: Freie Atmosphaere' (wie bei 0) |
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221 | DO j = nys, nyn |
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222 | |
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223 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
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224 | THEN |
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225 | |
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226 | k = nzb_diff_s_outer(j,i)-1 |
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227 | |
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228 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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229 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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230 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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231 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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232 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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233 | |
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234 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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235 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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236 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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237 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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238 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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239 | |
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240 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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241 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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242 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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243 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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244 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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245 | |
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246 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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247 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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248 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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249 | |
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250 | IF ( def < 0.0 ) def = 0.0 |
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251 | |
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252 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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253 | |
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254 | ENDIF |
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255 | |
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256 | ENDDO |
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257 | |
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258 | ! |
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259 | !-- Position ohne angrenzende Gebaeudewand |
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260 | !-- 1 - Wird immer ausgefuehrt. 'Nur Boden: u_0,v_0' |
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261 | DO j = nys, nyn |
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262 | |
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263 | IF ( ( wall_e_x(j,i) == 0.0 ) .AND. ( wall_e_y(j,i) == 0.0 ) ) & |
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264 | THEN |
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265 | |
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266 | k = nzb_diff_s_inner(j,i)-1 |
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267 | |
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268 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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269 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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270 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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271 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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272 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
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273 | |
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274 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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275 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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276 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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277 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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278 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
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279 | |
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280 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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281 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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282 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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283 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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284 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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285 | |
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286 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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287 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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288 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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289 | |
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290 | IF ( def < 0.0 ) def = 0.0 |
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291 | |
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292 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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293 | |
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294 | ENDIF |
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295 | |
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296 | ENDDO |
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297 | |
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298 | ELSEIF ( use_surface_fluxes ) THEN |
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299 | |
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300 | DO j = nys, nyn |
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301 | |
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302 | k = nzb_diff_s_outer(j,i)-1 |
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303 | |
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304 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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305 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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306 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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307 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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308 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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309 | |
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310 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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311 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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312 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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313 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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314 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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315 | |
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316 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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317 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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318 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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319 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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320 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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321 | |
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322 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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323 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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324 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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325 | |
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326 | IF ( def < 0.0 ) def = 0.0 |
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327 | |
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328 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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329 | |
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330 | ENDDO |
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331 | |
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332 | ENDIF |
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333 | |
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334 | ! |
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335 | !-- Calculate TKE production by buoyancy |
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336 | IF ( .NOT. moisture ) THEN |
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337 | |
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338 | DO j = nys, nyn |
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339 | |
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340 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
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341 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / pt(k,j,i) * & |
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342 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
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343 | ENDDO |
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344 | |
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345 | IF ( use_surface_fluxes ) THEN |
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346 | k = nzb_diff_s_inner(j,i)-1 |
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347 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
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348 | ENDIF |
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349 | |
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350 | IF ( use_top_fluxes ) THEN |
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351 | k = nzt |
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352 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
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353 | ENDIF |
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354 | |
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355 | ENDDO |
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356 | |
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357 | ELSE |
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358 | |
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359 | DO j = nys, nyn |
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360 | |
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361 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
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362 | |
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363 | IF ( .NOT. cloud_physics ) THEN |
---|
364 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
365 | k2 = 0.61 * pt(k,j,i) |
---|
366 | ELSE |
---|
367 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
368 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
369 | k2 = 0.61 * pt(k,j,i) |
---|
370 | ELSE |
---|
371 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
372 | temp = theta * t_d_pt(k) |
---|
373 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
374 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
375 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
376 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
377 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
378 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
379 | ENDIF |
---|
380 | ENDIF |
---|
381 | |
---|
382 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
383 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
384 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
385 | ) * dd2zu(k) |
---|
386 | ENDDO |
---|
387 | |
---|
388 | ENDDO |
---|
389 | |
---|
390 | IF ( use_surface_fluxes ) THEN |
---|
391 | |
---|
392 | DO j = nys, nyn |
---|
393 | |
---|
394 | k = nzb_diff_s_inner(j,i)-1 |
---|
395 | |
---|
396 | IF ( .NOT. cloud_physics ) THEN |
---|
397 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
398 | k2 = 0.61 * pt(k,j,i) |
---|
399 | ELSE |
---|
400 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
401 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
402 | k2 = 0.61 * pt(k,j,i) |
---|
403 | ELSE |
---|
404 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
405 | temp = theta * t_d_pt(k) |
---|
406 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
407 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
408 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
409 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
410 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
411 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
412 | ENDIF |
---|
413 | ENDIF |
---|
414 | |
---|
415 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
416 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
417 | ENDDO |
---|
418 | |
---|
419 | ENDIF |
---|
420 | |
---|
421 | IF ( use_top_fluxes ) THEN |
---|
422 | |
---|
423 | DO j = nys, nyn |
---|
424 | |
---|
425 | k = nzt |
---|
426 | |
---|
427 | IF ( .NOT. cloud_physics ) THEN |
---|
428 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
429 | k2 = 0.61 * pt(k,j,i) |
---|
430 | ELSE |
---|
431 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
432 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
433 | k2 = 0.61 * pt(k,j,i) |
---|
434 | ELSE |
---|
435 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
436 | temp = theta * t_d_pt(k) |
---|
437 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
438 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
439 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
440 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
441 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
442 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
443 | ENDIF |
---|
444 | ENDIF |
---|
445 | |
---|
446 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
447 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
448 | ENDDO |
---|
449 | |
---|
450 | ENDIF |
---|
451 | |
---|
452 | ENDIF |
---|
453 | |
---|
454 | ENDDO |
---|
455 | |
---|
456 | END SUBROUTINE production_e |
---|
457 | |
---|
458 | |
---|
459 | !------------------------------------------------------------------------------! |
---|
460 | ! Call for grid point i,j |
---|
461 | !------------------------------------------------------------------------------! |
---|
462 | SUBROUTINE production_e_ij( i, j ) |
---|
463 | |
---|
464 | USE arrays_3d |
---|
465 | USE cloud_parameters |
---|
466 | USE control_parameters |
---|
467 | USE grid_variables |
---|
468 | USE indices |
---|
469 | USE statistics |
---|
470 | |
---|
471 | IMPLICIT NONE |
---|
472 | |
---|
473 | INTEGER :: i, j, k |
---|
474 | |
---|
475 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
---|
476 | k1, k2, theta, temp |
---|
477 | |
---|
478 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus,wsvs |
---|
479 | |
---|
480 | ! |
---|
481 | !-- Calculate TKE production by shear |
---|
482 | DO k = nzb_diff_s_outer(j,i), nzt |
---|
483 | |
---|
484 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
485 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
486 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
487 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
488 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
489 | |
---|
490 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
491 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
492 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
493 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
494 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
495 | |
---|
496 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
497 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
498 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
499 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
500 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
501 | |
---|
502 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
503 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
504 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
505 | |
---|
506 | IF ( def < 0.0 ) def = 0.0 |
---|
507 | |
---|
508 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
509 | |
---|
510 | ENDDO |
---|
511 | |
---|
512 | IF ( prandtl_layer ) THEN |
---|
513 | |
---|
514 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) THEN |
---|
515 | ! |
---|
516 | !-- Position neben Gebaeudewand |
---|
517 | !-- 2 - Wird immer ausgefuehrt. 'Boden und Wand: |
---|
518 | !-- u_0,v_0 und Wall functions' |
---|
519 | k = nzb_diff_s_inner(j,i)-1 |
---|
520 | |
---|
521 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
522 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
523 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
524 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
525 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
526 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
527 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
528 | |
---|
529 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
530 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
531 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
---|
532 | dudy = wall_e_y(j,i) * usvs(k) / km(k,j,i) |
---|
533 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
534 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
---|
535 | dwdy = wall_e_y(j,i) * wsvs(k) / km(k,j,i) |
---|
536 | ELSE |
---|
537 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
538 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
539 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
540 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
541 | ENDIF |
---|
542 | |
---|
543 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
544 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
545 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
---|
546 | dvdx = wall_e_x(j,i) * vsus(k) / km(k,j,i) |
---|
547 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
548 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
---|
549 | dwdx = wall_e_x(j,i) * wsus(k) / km(k,j,i) |
---|
550 | ELSE |
---|
551 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
552 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
553 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
554 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
555 | ENDIF |
---|
556 | |
---|
557 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
558 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
559 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
560 | |
---|
561 | IF ( def < 0.0 ) def = 0.0 |
---|
562 | |
---|
563 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
564 | |
---|
565 | ! |
---|
566 | !-- 3 - Wird nur ausgefuehrt, wenn mindestens ein Niveau |
---|
567 | !-- zwischen 2 und 4 liegt, d.h. ab einer Gebaeudemindest- |
---|
568 | !-- hoehe von 2 dz. Di Wall fluxes sind in diesem Fall bereits vorab |
---|
569 | !-- unter (2) berechnet worden. 'Nur Wand: Wall functions' |
---|
570 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
---|
571 | |
---|
572 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
573 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
574 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
575 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
576 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
577 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
578 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
579 | |
---|
580 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
581 | dudy = wall_e_y(j,i) * usvs(k) / km(k,j,i) |
---|
582 | dwdy = wall_e_y(j,i) * wsvs(k) / km(k,j,i) |
---|
583 | ELSE |
---|
584 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
585 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
586 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
587 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
588 | ENDIF |
---|
589 | |
---|
590 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
591 | dvdx = wall_e_x(j,i) * vsus(k) / km(k,j,i) |
---|
592 | dwdx = wall_e_x(j,i) * wsus(k) / km(k,j,i) |
---|
593 | ELSE |
---|
594 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
595 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
596 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
597 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
598 | ENDIF |
---|
599 | |
---|
600 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
601 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
602 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
603 | |
---|
604 | IF ( def < 0.0 ) def = 0.0 |
---|
605 | |
---|
606 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
607 | |
---|
608 | ENDDO |
---|
609 | |
---|
610 | ! |
---|
611 | !-- 4 - Wird immer ausgefuehrt. |
---|
612 | !-- 'Sonderfall: Freie Atmosphaere' (wie bei 0) |
---|
613 | k = nzb_diff_s_outer(j,i)-1 |
---|
614 | |
---|
615 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
616 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
617 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
618 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
619 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
620 | |
---|
621 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
622 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
623 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
624 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
625 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
626 | |
---|
627 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
628 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
629 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
630 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
631 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
632 | |
---|
633 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
634 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
635 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
636 | |
---|
637 | IF ( def < 0.0 ) def = 0.0 |
---|
638 | |
---|
639 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
640 | |
---|
641 | ELSE |
---|
642 | |
---|
643 | ! |
---|
644 | !-- Position ohne angrenzende Gebaeudewand |
---|
645 | !-- 1 - Wird immer ausgefuehrt. 'Nur Boden: u_0,v_0' |
---|
646 | k = nzb_diff_s_inner(j,i)-1 |
---|
647 | |
---|
648 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
649 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
650 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
651 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
652 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
653 | |
---|
654 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
655 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
656 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
657 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
658 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
659 | |
---|
660 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
661 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
662 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
663 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
664 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
665 | |
---|
666 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
667 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
668 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
669 | |
---|
670 | IF ( def < 0.0 ) def = 0.0 |
---|
671 | |
---|
672 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
673 | |
---|
674 | ENDIF |
---|
675 | |
---|
676 | ELSEIF ( use_surface_fluxes ) THEN |
---|
677 | |
---|
678 | k = nzb_diff_s_outer(j,i)-1 |
---|
679 | |
---|
680 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
681 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
682 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
683 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
684 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
685 | |
---|
686 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
687 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
688 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
689 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
690 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
691 | |
---|
692 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
693 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
694 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
695 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
696 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
697 | |
---|
698 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
699 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
700 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
701 | |
---|
702 | IF ( def < 0.0 ) def = 0.0 |
---|
703 | |
---|
704 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
705 | |
---|
706 | ENDIF |
---|
707 | |
---|
708 | ! |
---|
709 | !-- Calculate TKE production by buoyancy |
---|
710 | IF ( .NOT. moisture ) THEN |
---|
711 | |
---|
712 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
713 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / pt(k,j,i) * & |
---|
714 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
715 | ENDDO |
---|
716 | |
---|
717 | IF ( use_surface_fluxes ) THEN |
---|
718 | k = nzb_diff_s_inner(j,i)-1 |
---|
719 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
---|
720 | ENDIF |
---|
721 | |
---|
722 | IF ( use_top_fluxes ) THEN |
---|
723 | k = nzt |
---|
724 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
---|
725 | ENDIF |
---|
726 | |
---|
727 | ELSE |
---|
728 | |
---|
729 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
730 | |
---|
731 | IF ( .NOT. cloud_physics ) THEN |
---|
732 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
733 | k2 = 0.61 * pt(k,j,i) |
---|
734 | ELSE |
---|
735 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
736 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
737 | k2 = 0.61 * pt(k,j,i) |
---|
738 | ELSE |
---|
739 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
740 | temp = theta * t_d_pt(k) |
---|
741 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
742 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
743 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
744 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
745 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
746 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
747 | ENDIF |
---|
748 | ENDIF |
---|
749 | |
---|
750 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
751 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
752 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
753 | ) * dd2zu(k) |
---|
754 | ENDDO |
---|
755 | |
---|
756 | IF ( use_surface_fluxes ) THEN |
---|
757 | k = nzb_diff_s_inner(j,i)-1 |
---|
758 | |
---|
759 | IF ( .NOT. cloud_physics ) THEN |
---|
760 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
761 | k2 = 0.61 * pt(k,j,i) |
---|
762 | ELSE |
---|
763 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
764 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
765 | k2 = 0.61 * pt(k,j,i) |
---|
766 | ELSE |
---|
767 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
768 | temp = theta * t_d_pt(k) |
---|
769 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
770 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
771 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
772 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
773 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
774 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
775 | ENDIF |
---|
776 | ENDIF |
---|
777 | |
---|
778 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
779 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
780 | ENDIF |
---|
781 | |
---|
782 | IF ( use_top_fluxes ) THEN |
---|
783 | k = nzt |
---|
784 | |
---|
785 | IF ( .NOT. cloud_physics ) THEN |
---|
786 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
787 | k2 = 0.61 * pt(k,j,i) |
---|
788 | ELSE |
---|
789 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
790 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
791 | k2 = 0.61 * pt(k,j,i) |
---|
792 | ELSE |
---|
793 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
794 | temp = theta * t_d_pt(k) |
---|
795 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
796 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
797 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
798 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
799 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
800 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
801 | ENDIF |
---|
802 | ENDIF |
---|
803 | |
---|
804 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
805 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
806 | ENDIF |
---|
807 | |
---|
808 | ENDIF |
---|
809 | |
---|
810 | END SUBROUTINE production_e_ij |
---|
811 | |
---|
812 | |
---|
813 | SUBROUTINE production_e_init |
---|
814 | |
---|
815 | USE arrays_3d |
---|
816 | USE control_parameters |
---|
817 | USE grid_variables |
---|
818 | USE indices |
---|
819 | |
---|
820 | IMPLICIT NONE |
---|
821 | |
---|
822 | INTEGER :: i, j, ku, kv |
---|
823 | |
---|
824 | IF ( prandtl_layer ) THEN |
---|
825 | |
---|
826 | IF ( first_call ) THEN |
---|
827 | ALLOCATE( u_0(nys-1:nyn+1,nxl-1:nxr+1), & |
---|
828 | v_0(nys-1:nyn+1,nxl-1:nxr+1) ) |
---|
829 | first_call = .FALSE. |
---|
830 | ENDIF |
---|
831 | |
---|
832 | ! |
---|
833 | !-- Calculate a virtual velocity at the surface in a way that the |
---|
834 | !-- vertical velocity gradient at k = 1 (u(k+1)-u_0) matches the |
---|
835 | !-- Prandtl law (-w'u'/km). This gradient is used in the TKE shear |
---|
836 | !-- production term at k=1 (see production_e_ij). |
---|
837 | !-- The velocity gradient has to be limited in case of too small km |
---|
838 | !-- (otherwise the timestep may be significantly reduced by large |
---|
839 | !-- surface winds). |
---|
840 | !-- WARNING: the exact analytical solution would require the determination |
---|
841 | !-- of the eddy diffusivity by km = u* * kappa * zp / phi_m. |
---|
842 | !$OMP PARALLEL DO PRIVATE( ku, kv ) |
---|
843 | DO i = nxl, nxr |
---|
844 | DO j = nys, nyn |
---|
845 | |
---|
846 | ku = nzb_u_inner(j,i)+1 |
---|
847 | kv = nzb_v_inner(j,i)+1 |
---|
848 | |
---|
849 | u_0(j,i) = u(ku+1,j,i) + usws(j,i) * ( zu(ku+1) - zu(ku-1) ) / & |
---|
850 | ( 0.5 * ( km(ku,j,i) + km(ku,j,i-1) ) + & |
---|
851 | 1.0E-20 ) |
---|
852 | ! ( us(j,i) * kappa * zu(1) ) |
---|
853 | v_0(j,i) = v(kv+1,j,i) + vsws(j,i) * ( zu(kv+1) - zu(kv-1) ) / & |
---|
854 | ( 0.5 * ( km(kv,j,i) + km(kv,j-1,i) ) + & |
---|
855 | 1.0E-20 ) |
---|
856 | ! ( us(j,i) * kappa * zu(1) ) |
---|
857 | |
---|
858 | IF ( ABS( u(ku+1,j,i) - u_0(j,i) ) > & |
---|
859 | ABS( u(ku+1,j,i) - u(ku-1,j,i) ) ) u_0(j,i) = u(ku-1,j,i) |
---|
860 | IF ( ABS( v(kv+1,j,i) - v_0(j,i) ) > & |
---|
861 | ABS( v(kv+1,j,i) - v(kv-1,j,i) ) ) v_0(j,i) = v(kv-1,j,i) |
---|
862 | |
---|
863 | ENDDO |
---|
864 | ENDDO |
---|
865 | |
---|
866 | CALL exchange_horiz_2d( u_0 ) |
---|
867 | CALL exchange_horiz_2d( v_0 ) |
---|
868 | |
---|
869 | ENDIF |
---|
870 | |
---|
871 | END SUBROUTINE production_e_init |
---|
872 | |
---|
873 | END MODULE production_e_mod |
---|