1 | !> @file diffusion_u.f90 |
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2 | !------------------------------------------------------------------------------! |
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3 | ! This file is part of the PALM model system. |
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4 | ! |
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5 | ! PALM is free software: you can redistribute it and/or modify it under the |
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6 | ! terms of the GNU General Public License as published by the Free Software |
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7 | ! Foundation, either version 3 of the License, or (at your option) any later |
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8 | ! version. |
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9 | ! |
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10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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13 | ! |
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14 | ! You should have received a copy of the GNU General Public License along with |
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15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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16 | ! |
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17 | ! Copyright 1997-2019 Leibniz Universitaet Hannover |
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18 | !------------------------------------------------------------------------------! |
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19 | ! |
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20 | ! Current revisions: |
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21 | ! ----------------- |
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22 | ! |
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23 | ! |
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24 | ! Former revisions: |
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25 | ! ----------------- |
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26 | ! $Id: diffusion_u.f90 4182 2019-08-22 15:20:23Z hellstea $ |
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27 | ! Corrected "Former revisions" section |
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28 | ! |
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29 | ! 3655 2019-01-07 16:51:22Z knoop |
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30 | ! OpenACC port for SPEC |
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31 | ! |
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32 | ! Revision 1.1 1997/09/12 06:23:51 raasch |
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33 | ! Initial revision |
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34 | ! |
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35 | ! |
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36 | ! Description: |
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37 | ! ------------ |
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38 | !> Diffusion term of the u-component |
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39 | !> @todo additional damping (needed for non-cyclic bc) causes bad vectorization |
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40 | !> and slows down the speed on NEC about 5-10% |
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41 | !------------------------------------------------------------------------------! |
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42 | MODULE diffusion_u_mod |
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43 | |
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44 | |
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45 | PRIVATE |
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46 | PUBLIC diffusion_u |
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47 | |
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48 | INTERFACE diffusion_u |
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49 | MODULE PROCEDURE diffusion_u |
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50 | MODULE PROCEDURE diffusion_u_ij |
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51 | END INTERFACE diffusion_u |
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52 | |
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53 | CONTAINS |
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54 | |
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55 | |
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56 | !------------------------------------------------------------------------------! |
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57 | ! Description: |
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58 | ! ------------ |
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59 | !> Call for all grid points |
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60 | !------------------------------------------------------------------------------! |
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61 | SUBROUTINE diffusion_u |
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62 | |
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63 | USE arrays_3d, & |
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64 | ONLY: ddzu, ddzw, km, tend, u, v, w, drho_air, rho_air_zw |
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65 | |
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66 | USE control_parameters, & |
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67 | ONLY: constant_top_momentumflux, use_surface_fluxes, & |
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68 | use_top_fluxes |
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69 | |
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70 | USE grid_variables, & |
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71 | ONLY: ddx, ddx2, ddy |
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72 | |
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73 | USE indices, & |
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74 | ONLY: nxlu, nxr, nyn, nys, nzb, nzt, wall_flags_0 |
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75 | |
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76 | USE kinds |
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77 | |
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78 | USE surface_mod, & |
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79 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
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80 | surf_usm_v |
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81 | |
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82 | IMPLICIT NONE |
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83 | |
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84 | INTEGER(iwp) :: i !< running index x direction |
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85 | INTEGER(iwp) :: j !< running index y direction |
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86 | INTEGER(iwp) :: k !< running index z direction |
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87 | INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall |
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88 | INTEGER(iwp) :: m !< running index surface elements |
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89 | INTEGER(iwp) :: surf_e !< end index of surface elements at (j,i)-gridpoint |
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90 | INTEGER(iwp) :: surf_s !< start index of surface elements at (j,i)-gridpoint |
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91 | |
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92 | REAL(wp) :: flag !< flag to mask topography grid points |
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93 | REAL(wp) :: kmym !< diffusion coefficient on southward side of the u-gridbox - interpolated onto xu-yv grid |
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94 | REAL(wp) :: kmyp !< diffusion coefficient on northward side of the u-gridbox - interpolated onto xu-yv grid |
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95 | REAL(wp) :: kmzm !< diffusion coefficient on bottom of the gridbox - interpolated onto xu-zw grid |
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96 | REAL(wp) :: kmzp !< diffusion coefficient on top of the gridbox - interpolated onto xu-zw grid |
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97 | REAL(wp) :: mask_bottom !< flag to mask vertical upward-facing surface |
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98 | REAL(wp) :: mask_north !< flag to mask vertical surface north of the grid point |
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99 | REAL(wp) :: mask_south !< flag to mask vertical surface south of the grid point |
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100 | REAL(wp) :: mask_top !< flag to mask vertical downward-facing surface |
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101 | |
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102 | |
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103 | |
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104 | !$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, l, m) & |
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105 | !$ACC PRIVATE(surf_e, surf_s, flag, kmym, kmyp, kmzm, kmzp) & |
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106 | !$ACC PRIVATE(mask_bottom, mask_north, mask_south, mask_top) & |
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107 | !$ACC PRESENT(wall_flags_0, km) & |
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108 | !$ACC PRESENT(u, v, w) & |
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109 | !$ACC PRESENT(ddzu, ddzw, drho_air, rho_air_zw) & |
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110 | !$ACC PRESENT(surf_def_h(0:2), surf_def_v(0:1)) & |
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111 | !$ACC PRESENT(surf_lsm_h, surf_lsm_v(0:1)) & |
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112 | !$ACC PRESENT(surf_usm_h, surf_usm_v(0:1)) & |
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113 | !$ACC PRESENT(tend) |
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114 | DO i = nxlu, nxr |
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115 | DO j = nys, nyn |
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116 | ! |
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117 | !-- Compute horizontal diffusion |
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118 | DO k = nzb+1, nzt |
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119 | ! |
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120 | !-- Predetermine flag to mask topography and wall-bounded grid points. |
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121 | !-- It is sufficient to masked only north- and south-facing surfaces, which |
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122 | !-- need special treatment for the u-component. |
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123 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 1 ) ) |
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124 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j-1,i), 1 ) ) |
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125 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j+1,i), 1 ) ) |
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126 | ! |
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127 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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128 | kmyp = 0.25_wp * & |
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129 | ( km(k,j,i)+km(k,j+1,i)+km(k,j,i-1)+km(k,j+1,i-1) ) |
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130 | kmym = 0.25_wp * & |
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131 | ( km(k,j,i)+km(k,j-1,i)+km(k,j,i-1)+km(k,j-1,i-1) ) |
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132 | |
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133 | tend(k,j,i) = tend(k,j,i) & |
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134 | + 2.0_wp * ( & |
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135 | km(k,j,i) * ( u(k,j,i+1) - u(k,j,i) ) & |
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136 | - km(k,j,i-1) * ( u(k,j,i) - u(k,j,i-1) ) & |
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137 | ) * ddx2 * flag & |
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138 | + ( mask_north * ( & |
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139 | kmyp * ( u(k,j+1,i) - u(k,j,i) ) * ddy & |
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140 | + kmyp * ( v(k,j+1,i) - v(k,j+1,i-1) ) * ddx & |
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141 | ) & |
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142 | - mask_south * ( & |
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143 | kmym * ( u(k,j,i) - u(k,j-1,i) ) * ddy & |
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144 | + kmym * ( v(k,j,i) - v(k,j,i-1) ) * ddx & |
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145 | ) & |
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146 | ) * ddy * flag |
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147 | ENDDO |
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148 | ! |
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149 | !-- Add horizontal momentum flux u'v' at north- (l=0) and south-facing (l=1) |
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150 | !-- surfaces. Note, in the the flat case, loops won't be entered as |
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151 | !-- start_index > end_index. Furtermore, note, no vertical natural surfaces |
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152 | !-- so far. |
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153 | !-- Default-type surfaces |
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154 | DO l = 0, 1 |
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155 | surf_s = surf_def_v(l)%start_index(j,i) |
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156 | surf_e = surf_def_v(l)%end_index(j,i) |
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157 | DO m = surf_s, surf_e |
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158 | k = surf_def_v(l)%k(m) |
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159 | tend(k,j,i) = tend(k,j,i) + & |
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160 | surf_def_v(l)%mom_flux_uv(m) * ddy |
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161 | ENDDO |
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162 | ENDDO |
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163 | ! |
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164 | !-- Natural-type surfaces |
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165 | DO l = 0, 1 |
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166 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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167 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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168 | DO m = surf_s, surf_e |
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169 | k = surf_lsm_v(l)%k(m) |
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170 | tend(k,j,i) = tend(k,j,i) + & |
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171 | surf_lsm_v(l)%mom_flux_uv(m) * ddy |
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172 | ENDDO |
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173 | ENDDO |
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174 | ! |
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175 | !-- Urban-type surfaces |
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176 | DO l = 0, 1 |
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177 | surf_s = surf_usm_v(l)%start_index(j,i) |
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178 | surf_e = surf_usm_v(l)%end_index(j,i) |
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179 | DO m = surf_s, surf_e |
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180 | k = surf_usm_v(l)%k(m) |
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181 | tend(k,j,i) = tend(k,j,i) + & |
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182 | surf_usm_v(l)%mom_flux_uv(m) * ddy |
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183 | ENDDO |
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184 | ENDDO |
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185 | |
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186 | ! |
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187 | !-- Compute vertical diffusion. In case of simulating a surface layer, |
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188 | !-- respective grid diffusive fluxes are masked (flag 8) within this |
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189 | !-- loop, and added further below, else, simple gradient approach is |
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190 | !-- applied. Model top is also mask if top-momentum flux is given. |
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191 | DO k = nzb+1, nzt |
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192 | ! |
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193 | !-- Determine flags to mask topography below and above. Flag 1 is |
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194 | !-- used to mask topography in general, and flag 8 implies |
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195 | !-- information about use_surface_fluxes. Flag 9 is used to control |
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196 | !-- momentum flux at model top. |
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197 | mask_bottom = MERGE( 1.0_wp, 0.0_wp, & |
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198 | BTEST( wall_flags_0(k-1,j,i), 8 ) ) |
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199 | mask_top = MERGE( 1.0_wp, 0.0_wp, & |
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200 | BTEST( wall_flags_0(k+1,j,i), 8 ) ) * & |
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201 | MERGE( 1.0_wp, 0.0_wp, & |
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202 | BTEST( wall_flags_0(k+1,j,i), 9 ) ) |
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203 | flag = MERGE( 1.0_wp, 0.0_wp, & |
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204 | BTEST( wall_flags_0(k,j,i), 1 ) ) |
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205 | ! |
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206 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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207 | kmzp = 0.25_wp * & |
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208 | ( km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) ) |
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209 | kmzm = 0.25_wp * & |
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210 | ( km(k,j,i)+km(k-1,j,i)+km(k,j,i-1)+km(k-1,j,i-1) ) |
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211 | |
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212 | tend(k,j,i) = tend(k,j,i) & |
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213 | + ( kmzp * ( ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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214 | + ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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215 | ) * rho_air_zw(k) * mask_top & |
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216 | - kmzm * ( ( u(k,j,i) - u(k-1,j,i) ) * ddzu(k) & |
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217 | + ( w(k-1,j,i) - w(k-1,j,i-1) ) * ddx & |
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218 | ) * rho_air_zw(k-1) * mask_bottom & |
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219 | ) * ddzw(k) * drho_air(k) * flag |
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220 | ENDDO |
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221 | |
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222 | ! |
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223 | !-- Vertical diffusion at the first grid point above the surface, |
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224 | !-- if the momentum flux at the bottom is given by the Prandtl law or |
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225 | !-- if it is prescribed by the user. |
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226 | !-- Difference quotient of the momentum flux is not formed over half |
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227 | !-- of the grid spacing (2.0*ddzw(k)) any more, since the comparison |
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228 | !-- with other (LES) models showed that the values of the momentum |
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229 | !-- flux becomes too large in this case. |
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230 | !-- The term containing w(k-1,..) (see above equation) is removed here |
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231 | !-- because the vertical velocity is assumed to be zero at the surface. |
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232 | IF ( use_surface_fluxes ) THEN |
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233 | ! |
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234 | !-- Default-type surfaces, upward-facing |
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235 | surf_s = surf_def_h(0)%start_index(j,i) |
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236 | surf_e = surf_def_h(0)%end_index(j,i) |
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237 | DO m = surf_s, surf_e |
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238 | |
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239 | k = surf_def_h(0)%k(m) |
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240 | |
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241 | tend(k,j,i) = tend(k,j,i) & |
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242 | + ( - ( - surf_def_h(0)%usws(m) ) & |
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243 | ) * ddzw(k) * drho_air(k) |
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244 | ENDDO |
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245 | ! |
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246 | !-- Default-type surfaces, dowward-facing |
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247 | surf_s = surf_def_h(1)%start_index(j,i) |
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248 | surf_e = surf_def_h(1)%end_index(j,i) |
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249 | DO m = surf_s, surf_e |
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250 | |
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251 | k = surf_def_h(1)%k(m) |
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252 | |
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253 | tend(k,j,i) = tend(k,j,i) & |
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254 | + ( - surf_def_h(1)%usws(m) & |
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255 | ) * ddzw(k) * drho_air(k) |
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256 | ENDDO |
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257 | ! |
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258 | !-- Natural-type surfaces, upward-facing |
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259 | surf_s = surf_lsm_h%start_index(j,i) |
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260 | surf_e = surf_lsm_h%end_index(j,i) |
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261 | DO m = surf_s, surf_e |
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262 | |
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263 | k = surf_lsm_h%k(m) |
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264 | |
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265 | tend(k,j,i) = tend(k,j,i) & |
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266 | + ( - ( - surf_lsm_h%usws(m) ) & |
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267 | ) * ddzw(k) * drho_air(k) |
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268 | ENDDO |
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269 | ! |
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270 | !-- Urban-type surfaces, upward-facing |
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271 | surf_s = surf_usm_h%start_index(j,i) |
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272 | surf_e = surf_usm_h%end_index(j,i) |
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273 | DO m = surf_s, surf_e |
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274 | |
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275 | k = surf_usm_h%k(m) |
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276 | |
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277 | tend(k,j,i) = tend(k,j,i) & |
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278 | + ( - ( - surf_usm_h%usws(m) ) & |
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279 | ) * ddzw(k) * drho_air(k) |
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280 | ENDDO |
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281 | |
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282 | ENDIF |
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283 | ! |
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284 | !-- Add momentum flux at model top |
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285 | IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN |
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286 | surf_s = surf_def_h(2)%start_index(j,i) |
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287 | surf_e = surf_def_h(2)%end_index(j,i) |
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288 | DO m = surf_s, surf_e |
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289 | |
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290 | k = surf_def_h(2)%k(m) |
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291 | |
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292 | tend(k,j,i) = tend(k,j,i) & |
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293 | + ( - surf_def_h(2)%usws(m) ) * ddzw(k) * drho_air(k) |
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294 | ENDDO |
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295 | ENDIF |
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296 | |
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297 | ENDDO |
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298 | ENDDO |
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299 | |
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300 | END SUBROUTINE diffusion_u |
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301 | |
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302 | |
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303 | !------------------------------------------------------------------------------! |
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304 | ! Description: |
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305 | ! ------------ |
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306 | !> Call for grid point i,j |
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307 | !------------------------------------------------------------------------------! |
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308 | SUBROUTINE diffusion_u_ij( i, j ) |
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309 | |
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310 | USE arrays_3d, & |
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311 | ONLY: ddzu, ddzw, km, tend, u, v, w, drho_air, rho_air_zw |
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312 | |
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313 | USE control_parameters, & |
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314 | ONLY: constant_top_momentumflux, use_surface_fluxes, & |
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315 | use_top_fluxes |
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316 | |
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317 | USE grid_variables, & |
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318 | ONLY: ddx, ddx2, ddy |
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319 | |
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320 | USE indices, & |
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321 | ONLY: nzb, nzt, wall_flags_0 |
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322 | |
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323 | USE kinds |
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324 | |
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325 | USE surface_mod, & |
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326 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
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327 | surf_usm_v |
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328 | |
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329 | IMPLICIT NONE |
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330 | |
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331 | INTEGER(iwp) :: i !< running index x direction |
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332 | INTEGER(iwp) :: j !< running index y direction |
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333 | INTEGER(iwp) :: k !< running index z direction |
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334 | INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall |
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335 | INTEGER(iwp) :: m !< running index surface elements |
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336 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
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337 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
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338 | |
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339 | REAL(wp) :: flag !< flag to mask topography grid points |
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340 | REAL(wp) :: kmym !< diffusion coefficient on southward side of the u-gridbox - interpolated onto xu-yv grid |
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341 | REAL(wp) :: kmyp !<diffusion coefficient on northward side of the u-gridbox - interpolated onto xu-yv grid |
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342 | REAL(wp) :: kmzm !< diffusion coefficient on bottom of the gridbox - interpolated onto xu-zw grid |
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343 | REAL(wp) :: kmzp !< diffusion coefficient on top of the gridbox - interpolated onto xu-zw grid |
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344 | REAL(wp) :: mask_bottom !< flag to mask vertical upward-facing surface |
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345 | REAL(wp) :: mask_north !< flag to mask vertical surface north of the grid point |
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346 | REAL(wp) :: mask_south !< flag to mask vertical surface south of the grid point |
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347 | REAL(wp) :: mask_top !< flag to mask vertical downward-facing surface |
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348 | ! |
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349 | !-- Compute horizontal diffusion |
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350 | DO k = nzb+1, nzt |
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351 | ! |
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352 | !-- Predetermine flag to mask topography and wall-bounded grid points. |
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353 | !-- It is sufficient to masked only north- and south-facing surfaces, which |
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354 | !-- need special treatment for the u-component. |
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355 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 1 ) ) |
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356 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j-1,i), 1 ) ) |
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357 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j+1,i), 1 ) ) |
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358 | ! |
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359 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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360 | kmyp = 0.25_wp * ( km(k,j,i)+km(k,j+1,i)+km(k,j,i-1)+km(k,j+1,i-1) ) |
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361 | kmym = 0.25_wp * ( km(k,j,i)+km(k,j-1,i)+km(k,j,i-1)+km(k,j-1,i-1) ) |
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362 | |
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363 | tend(k,j,i) = tend(k,j,i) & |
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364 | + 2.0_wp * ( & |
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365 | km(k,j,i) * ( u(k,j,i+1) - u(k,j,i) ) & |
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366 | - km(k,j,i-1) * ( u(k,j,i) - u(k,j,i-1) ) & |
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367 | ) * ddx2 * flag & |
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368 | + ( & |
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369 | mask_north * kmyp * ( ( u(k,j+1,i) - u(k,j,i) ) * ddy & |
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370 | + ( v(k,j+1,i) - v(k,j+1,i-1) ) * ddx & |
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371 | ) & |
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372 | - mask_south * kmym * ( ( u(k,j,i) - u(k,j-1,i) ) * ddy & |
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373 | + ( v(k,j,i) - v(k,j,i-1) ) * ddx & |
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374 | ) & |
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375 | ) * ddy * flag |
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376 | ENDDO |
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377 | |
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378 | ! |
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379 | !-- Add horizontal momentum flux u'v' at north- (l=0) and south-facing (l=1) |
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380 | !-- surfaces. Note, in the the flat case, loops won't be entered as |
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381 | !-- start_index > end_index. Furtermore, note, no vertical natural surfaces |
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382 | !-- so far. |
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383 | !-- Default-type surfaces |
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384 | DO l = 0, 1 |
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385 | surf_s = surf_def_v(l)%start_index(j,i) |
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386 | surf_e = surf_def_v(l)%end_index(j,i) |
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387 | DO m = surf_s, surf_e |
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388 | k = surf_def_v(l)%k(m) |
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389 | tend(k,j,i) = tend(k,j,i) + surf_def_v(l)%mom_flux_uv(m) * ddy |
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390 | ENDDO |
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391 | ENDDO |
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392 | ! |
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393 | !-- Natural-type surfaces |
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394 | DO l = 0, 1 |
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395 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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396 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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397 | DO m = surf_s, surf_e |
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398 | k = surf_lsm_v(l)%k(m) |
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399 | tend(k,j,i) = tend(k,j,i) + surf_lsm_v(l)%mom_flux_uv(m) * ddy |
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400 | ENDDO |
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401 | ENDDO |
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402 | ! |
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403 | !-- Urban-type surfaces |
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404 | DO l = 0, 1 |
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405 | surf_s = surf_usm_v(l)%start_index(j,i) |
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406 | surf_e = surf_usm_v(l)%end_index(j,i) |
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407 | DO m = surf_s, surf_e |
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408 | k = surf_usm_v(l)%k(m) |
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409 | tend(k,j,i) = tend(k,j,i) + surf_usm_v(l)%mom_flux_uv(m) * ddy |
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410 | ENDDO |
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411 | ENDDO |
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412 | ! |
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413 | !-- Compute vertical diffusion. In case of simulating a surface layer, |
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414 | !-- respective grid diffusive fluxes are masked (flag 8) within this |
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415 | !-- loop, and added further below, else, simple gradient approach is |
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416 | !-- applied. Model top is also mask if top-momentum flux is given. |
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417 | DO k = nzb+1, nzt |
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418 | ! |
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419 | !-- Determine flags to mask topography below and above. Flag 1 is |
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420 | !-- used to mask topography in general, and flag 8 implies |
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421 | !-- information about use_surface_fluxes. Flag 9 is used to control |
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422 | !-- momentum flux at model top. |
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423 | mask_bottom = MERGE( 1.0_wp, 0.0_wp, & |
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424 | BTEST( wall_flags_0(k-1,j,i), 8 ) ) |
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425 | mask_top = MERGE( 1.0_wp, 0.0_wp, & |
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426 | BTEST( wall_flags_0(k+1,j,i), 8 ) ) * & |
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427 | MERGE( 1.0_wp, 0.0_wp, & |
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428 | BTEST( wall_flags_0(k+1,j,i), 9 ) ) |
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429 | flag = MERGE( 1.0_wp, 0.0_wp, & |
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430 | BTEST( wall_flags_0(k,j,i), 1 ) ) |
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431 | ! |
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432 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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433 | kmzp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) ) |
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434 | kmzm = 0.25_wp * ( km(k,j,i)+km(k-1,j,i)+km(k,j,i-1)+km(k-1,j,i-1) ) |
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435 | |
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436 | tend(k,j,i) = tend(k,j,i) & |
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437 | + ( kmzp * ( ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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438 | + ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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439 | ) * rho_air_zw(k) * mask_top & |
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440 | - kmzm * ( ( u(k,j,i) - u(k-1,j,i) ) * ddzu(k) & |
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441 | + ( w(k-1,j,i) - w(k-1,j,i-1) ) * ddx & |
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442 | ) * rho_air_zw(k-1) * mask_bottom & |
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443 | ) * ddzw(k) * drho_air(k) * flag |
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444 | ENDDO |
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445 | |
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446 | ! |
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447 | !-- Vertical diffusion at the first surface grid points, if the |
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448 | !-- momentum flux at the bottom is given by the Prandtl law or if it is |
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449 | !-- prescribed by the user. |
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450 | !-- Difference quotient of the momentum flux is not formed over half of |
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451 | !-- the grid spacing (2.0*ddzw(k)) any more, since the comparison with |
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452 | !-- other (LES) models showed that the values of the momentum flux becomes |
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453 | !-- too large in this case. |
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454 | IF ( use_surface_fluxes ) THEN |
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455 | ! |
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456 | !-- Default-type surfaces, upward-facing |
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457 | surf_s = surf_def_h(0)%start_index(j,i) |
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458 | surf_e = surf_def_h(0)%end_index(j,i) |
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459 | DO m = surf_s, surf_e |
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460 | |
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461 | k = surf_def_h(0)%k(m) |
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462 | |
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463 | tend(k,j,i) = tend(k,j,i) & |
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464 | + ( - ( - surf_def_h(0)%usws(m) ) & |
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465 | ) * ddzw(k) * drho_air(k) |
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466 | ENDDO |
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467 | ! |
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468 | !-- Default-type surfaces, dowward-facing (except for model-top fluxes) |
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469 | surf_s = surf_def_h(1)%start_index(j,i) |
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470 | surf_e = surf_def_h(1)%end_index(j,i) |
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471 | DO m = surf_s, surf_e |
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472 | |
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473 | k = surf_def_h(1)%k(m) |
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474 | |
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475 | tend(k,j,i) = tend(k,j,i) & |
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476 | + ( - surf_def_h(1)%usws(m) & |
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477 | ) * ddzw(k) * drho_air(k) |
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478 | ENDDO |
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479 | ! |
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480 | !-- Natural-type surfaces, upward-facing |
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481 | surf_s = surf_lsm_h%start_index(j,i) |
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482 | surf_e = surf_lsm_h%end_index(j,i) |
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483 | DO m = surf_s, surf_e |
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484 | |
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485 | k = surf_lsm_h%k(m) |
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486 | |
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487 | tend(k,j,i) = tend(k,j,i) & |
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488 | + ( - ( - surf_lsm_h%usws(m) ) & |
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489 | ) * ddzw(k) * drho_air(k) |
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490 | ENDDO |
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491 | ! |
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492 | !-- Urban-type surfaces, upward-facing |
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493 | surf_s = surf_usm_h%start_index(j,i) |
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494 | surf_e = surf_usm_h%end_index(j,i) |
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495 | DO m = surf_s, surf_e |
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496 | |
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497 | k = surf_usm_h%k(m) |
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498 | |
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499 | tend(k,j,i) = tend(k,j,i) & |
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500 | + ( - ( - surf_usm_h%usws(m) ) & |
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501 | ) * ddzw(k) * drho_air(k) |
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502 | ENDDO |
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503 | |
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504 | ENDIF |
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505 | ! |
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506 | !-- Add momentum flux at model top |
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507 | IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN |
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508 | surf_s = surf_def_h(2)%start_index(j,i) |
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509 | surf_e = surf_def_h(2)%end_index(j,i) |
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510 | DO m = surf_s, surf_e |
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511 | |
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512 | k = surf_def_h(2)%k(m) |
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513 | |
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514 | tend(k,j,i) = tend(k,j,i) & |
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515 | + ( - surf_def_h(2)%usws(m) ) * ddzw(k) * drho_air(k) |
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516 | ENDDO |
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517 | ENDIF |
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518 | |
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519 | |
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520 | END SUBROUTINE diffusion_u_ij |
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521 | |
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522 | END MODULE diffusion_u_mod |
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