1 | MODULE wall_fluxes_mod |
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2 | |
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3 | !--------------------------------------------------------------------------------! |
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4 | ! This file is part of PALM. |
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5 | ! |
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6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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7 | ! of the GNU General Public License as published by the Free Software Foundation, |
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8 | ! either version 3 of the License, or (at your option) any later 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 1997-2012 Leibniz University 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: wall_fluxes.f90 1036 2012-10-22 13:43:42Z raasch $ |
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27 | ! |
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28 | ! 1015 2012-09-27 09:23:24Z raasch |
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29 | ! accelerator version (*_acc) added |
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30 | ! |
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31 | ! 187 2008-08-06 16:25:09Z letzel |
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32 | ! Bugfix: Modification of the evaluation of the vertical turbulent momentum |
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33 | ! fluxes u'w' and v'w (see prandtl_fluxes), this requires the calculation of |
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34 | ! us_wall (and vel_total, u_i, v_i, ws) also in wall_fluxes_e. |
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35 | ! Bugfix: change definition of us_wall from 1D to 2D |
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36 | ! Bugfix: storage of rifs to rifs_wall in wall_fluxes_e removed |
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37 | ! Change: add 'minus' sign to fluxes produced by subroutine wall_fluxes_e for |
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38 | ! consistency with subroutine wall_fluxes |
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39 | ! Change: Modification of the integrated version of the profile function for |
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40 | ! momentum for unstable stratification |
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41 | ! |
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42 | ! Initial version (2007/03/07) |
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43 | ! |
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44 | ! Description: |
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45 | ! ------------ |
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46 | ! Calculates momentum fluxes at vertical walls assuming Monin-Obukhov |
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47 | ! similarity. |
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48 | ! Indices: usvs a=1, vsus b=1, wsvs c1=1, wsus c2=1 (other=0). |
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49 | ! The all-gridpoint version of wall_fluxes_e is not used so far, because |
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50 | ! it gives slightly different results from the ij-version for some unknown |
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51 | ! reason. |
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52 | !------------------------------------------------------------------------------! |
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53 | PRIVATE |
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54 | PUBLIC wall_fluxes, wall_fluxes_acc, wall_fluxes_e, wall_fluxes_e_acc |
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55 | |
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56 | INTERFACE wall_fluxes |
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57 | MODULE PROCEDURE wall_fluxes |
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58 | MODULE PROCEDURE wall_fluxes_ij |
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59 | END INTERFACE wall_fluxes |
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60 | |
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61 | INTERFACE wall_fluxes_acc |
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62 | MODULE PROCEDURE wall_fluxes_acc |
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63 | END INTERFACE wall_fluxes_acc |
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64 | |
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65 | INTERFACE wall_fluxes_e |
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66 | MODULE PROCEDURE wall_fluxes_e |
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67 | MODULE PROCEDURE wall_fluxes_e_ij |
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68 | END INTERFACE wall_fluxes_e |
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69 | |
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70 | INTERFACE wall_fluxes_e_acc |
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71 | MODULE PROCEDURE wall_fluxes_e_acc |
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72 | END INTERFACE wall_fluxes_e_acc |
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73 | |
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74 | CONTAINS |
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75 | |
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76 | !------------------------------------------------------------------------------! |
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77 | ! Call for all grid points |
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78 | !------------------------------------------------------------------------------! |
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79 | SUBROUTINE wall_fluxes( wall_flux, a, b, c1, c2, nzb_uvw_inner, & |
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80 | nzb_uvw_outer, wall ) |
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81 | |
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82 | USE arrays_3d |
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83 | USE control_parameters |
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84 | USE grid_variables |
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85 | USE indices |
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86 | USE statistics |
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87 | |
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88 | IMPLICIT NONE |
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89 | |
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90 | INTEGER :: i, j, k, wall_index |
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91 | |
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92 | INTEGER, DIMENSION(nysg:nyng,nxlg:nxrg) :: nzb_uvw_inner, & |
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93 | nzb_uvw_outer |
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94 | REAL :: a, b, c1, c2, h1, h2, zp |
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95 | REAL :: pts, pt_i, rifs, u_i, v_i, us_wall, vel_total, ws, wspts |
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96 | |
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97 | REAL, DIMENSION(nysg:nyng,nxlg:nxrg) :: wall |
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98 | REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wall_flux |
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99 | |
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100 | |
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101 | zp = 0.5 * ( (a+c1) * dy + (b+c2) * dx ) |
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102 | wall_flux = 0.0 |
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103 | wall_index = NINT( a+ 2*b + 3*c1 + 4*c2 ) |
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104 | |
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105 | DO i = nxl, nxr |
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106 | DO j = nys, nyn |
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107 | |
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108 | IF ( wall(j,i) /= 0.0 ) THEN |
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109 | ! |
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110 | !-- All subsequent variables are computed for the respective |
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111 | !-- location where the respective flux is defined. |
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112 | DO k = nzb_uvw_inner(j,i)+1, nzb_uvw_outer(j,i) |
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113 | |
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114 | ! |
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115 | !-- (1) Compute rifs, u_i, v_i, ws, pt' and w'pt' |
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116 | rifs = rif_wall(k,j,i,wall_index) |
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117 | |
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118 | u_i = a * u(k,j,i) + c1 * 0.25 * & |
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119 | ( u(k+1,j,i+1) + u(k+1,j,i) + u(k,j,i+1) + u(k,j,i) ) |
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120 | |
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121 | v_i = b * v(k,j,i) + c2 * 0.25 * & |
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122 | ( v(k+1,j+1,i) + v(k+1,j,i) + v(k,j+1,i) + v(k,j,i) ) |
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123 | |
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124 | ws = ( c1 + c2 ) * w(k,j,i) + 0.25 * ( & |
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125 | a * ( w(k-1,j,i-1) + w(k-1,j,i) + w(k,j,i-1) + w(k,j,i) ) & |
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126 | + b * ( w(k-1,j-1,i) + w(k-1,j,i) + w(k,j-1,i) + w(k,j,i) ) & |
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127 | ) |
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128 | pt_i = 0.5 * ( pt(k,j,i) + a * pt(k,j,i-1) + & |
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129 | b * pt(k,j-1,i) + ( c1 + c2 ) * pt(k+1,j,i) ) |
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130 | |
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131 | pts = pt_i - hom(k,1,4,0) |
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132 | wspts = ws * pts |
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133 | |
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134 | ! |
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135 | !-- (2) Compute wall-parallel absolute velocity vel_total |
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136 | vel_total = SQRT( ws**2 + (a+c1) * u_i**2 + (b+c2) * v_i**2 ) |
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137 | |
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138 | ! |
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139 | !-- (3) Compute wall friction velocity us_wall |
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140 | IF ( rifs >= 0.0 ) THEN |
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141 | |
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142 | ! |
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143 | !-- Stable stratification (and neutral) |
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144 | us_wall = kappa * vel_total / ( LOG( zp / z0(j,i) ) + & |
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145 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
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146 | ) |
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147 | ELSE |
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148 | |
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149 | ! |
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150 | !-- Unstable stratification |
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151 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
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152 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
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153 | |
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154 | us_wall = kappa * vel_total / ( & |
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155 | LOG( zp / z0(j,i) ) - & |
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156 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
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157 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
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158 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
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159 | ) |
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160 | ENDIF |
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161 | |
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162 | ! |
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163 | !-- (4) Compute zp/L (corresponds to neutral Richardson flux |
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164 | !-- number rifs) |
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165 | rifs = -1.0 * zp * kappa * g * wspts / ( pt_i * & |
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166 | ( us_wall**3 + 1E-30 ) ) |
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167 | |
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168 | ! |
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169 | !-- Limit the value range of the Richardson numbers. |
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170 | !-- This is necessary for very small velocities (u,w --> 0), |
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171 | !-- because the absolute value of rif can then become very |
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172 | !-- large, which in consequence would result in very large |
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173 | !-- shear stresses and very small momentum fluxes (both are |
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174 | !-- generally unrealistic). |
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175 | IF ( rifs < rif_min ) rifs = rif_min |
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176 | IF ( rifs > rif_max ) rifs = rif_max |
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177 | |
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178 | ! |
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179 | !-- (5) Compute wall_flux (u'v', v'u', w'v', or w'u') |
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180 | IF ( rifs >= 0.0 ) THEN |
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181 | |
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182 | ! |
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183 | !-- Stable stratification (and neutral) |
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184 | wall_flux(k,j,i) = kappa * & |
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185 | ( a*u(k,j,i) + b*v(k,j,i) + (c1+c2)*w(k,j,i) ) / & |
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186 | ( LOG( zp / z0(j,i) ) + & |
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187 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
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188 | ) |
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189 | ELSE |
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190 | |
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191 | ! |
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192 | !-- Unstable stratification |
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193 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
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194 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
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195 | |
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196 | wall_flux(k,j,i) = kappa * & |
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197 | ( a*u(k,j,i) + b*v(k,j,i) + (c1+c2)*w(k,j,i) ) / ( & |
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198 | LOG( zp / z0(j,i) ) - & |
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199 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
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200 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
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201 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
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202 | ) |
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203 | ENDIF |
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204 | wall_flux(k,j,i) = -wall_flux(k,j,i) * us_wall |
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205 | |
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206 | ! |
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207 | !-- store rifs for next time step |
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208 | rif_wall(k,j,i,wall_index) = rifs |
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209 | |
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210 | ENDDO |
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211 | |
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212 | ENDIF |
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213 | |
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214 | ENDDO |
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215 | ENDDO |
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216 | |
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217 | END SUBROUTINE wall_fluxes |
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218 | |
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219 | |
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220 | !------------------------------------------------------------------------------! |
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221 | ! Call for all grid points - accelerator version |
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222 | !------------------------------------------------------------------------------! |
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223 | SUBROUTINE wall_fluxes_acc( wall_flux, a, b, c1, c2, nzb_uvw_inner, & |
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224 | nzb_uvw_outer, wall ) |
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225 | |
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226 | USE arrays_3d |
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227 | USE control_parameters |
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228 | USE grid_variables |
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229 | USE indices |
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230 | USE statistics |
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231 | |
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232 | IMPLICIT NONE |
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233 | |
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234 | INTEGER :: i, j, k, max_outer, min_inner, wall_index |
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235 | |
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236 | INTEGER, DIMENSION(nysg:nyng,nxlg:nxrg) :: nzb_uvw_inner, & |
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237 | nzb_uvw_outer |
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238 | REAL :: a, b, c1, c2, h1, h2, zp |
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239 | REAL :: pts, pt_i, rifs, u_i, v_i, us_wall, vel_total, ws, wspts |
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240 | |
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241 | REAL, DIMENSION(nysg:nyng,nxlg:nxrg) :: wall |
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242 | REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wall_flux |
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243 | |
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244 | |
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245 | zp = 0.5 * ( (a+c1) * dy + (b+c2) * dx ) |
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246 | wall_flux = 0.0 |
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247 | wall_index = NINT( a+ 2*b + 3*c1 + 4*c2 ) |
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248 | |
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249 | min_inner = MINVAL( nzb_uvw_inner(nys:nyn,nxl:nxr) ) + 1 |
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250 | max_outer = MINVAL( nzb_uvw_outer(nys:nyn,nxl:nxr) ) |
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251 | |
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252 | !$acc kernels present( hom, nzb_uvw_inner, nzb_uvw_outer, pt, rif_wall ) & |
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253 | !$acc present( u, v, w, wall, wall_flux, z0 ) |
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254 | !$acc loop |
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255 | DO i = nxl, nxr |
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256 | DO j = nys, nyn |
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257 | !$acc loop vector( 32 ) |
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258 | DO k = min_inner, max_outer |
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259 | ! |
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260 | !-- All subsequent variables are computed for the respective |
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261 | !-- location where the respective flux is defined. |
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262 | IF ( k >= nzb_uvw_inner(j,i)+1 .AND. & |
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263 | k <= nzb_uvw_outer(j,i) .AND. wall(j,i) /= 0.0 ) THEN |
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264 | ! |
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265 | !-- (1) Compute rifs, u_i, v_i, ws, pt' and w'pt' |
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266 | rifs = rif_wall(k,j,i,wall_index) |
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267 | |
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268 | u_i = a * u(k,j,i) + c1 * 0.25 * & |
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269 | ( u(k+1,j,i+1) + u(k+1,j,i) + u(k,j,i+1) + u(k,j,i) ) |
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270 | |
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271 | v_i = b * v(k,j,i) + c2 * 0.25 * & |
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272 | ( v(k+1,j+1,i) + v(k+1,j,i) + v(k,j+1,i) + v(k,j,i) ) |
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273 | |
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274 | ws = ( c1 + c2 ) * w(k,j,i) + 0.25 * ( & |
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275 | a * ( w(k-1,j,i-1) + w(k-1,j,i) + w(k,j,i-1) + w(k,j,i) ) & |
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276 | + b * ( w(k-1,j-1,i) + w(k-1,j,i) + w(k,j-1,i) + w(k,j,i) ) & |
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277 | ) |
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278 | pt_i = 0.5 * ( pt(k,j,i) + a * pt(k,j,i-1) + & |
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279 | b * pt(k,j-1,i) + ( c1 + c2 ) * pt(k+1,j,i) ) |
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280 | |
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281 | pts = pt_i - hom(k,1,4,0) |
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282 | wspts = ws * pts |
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283 | |
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284 | ! |
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285 | !-- (2) Compute wall-parallel absolute velocity vel_total |
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286 | vel_total = SQRT( ws**2 + (a+c1) * u_i**2 + (b+c2) * v_i**2 ) |
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287 | |
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288 | ! |
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289 | !-- (3) Compute wall friction velocity us_wall |
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290 | IF ( rifs >= 0.0 ) THEN |
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291 | |
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292 | ! |
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293 | !-- Stable stratification (and neutral) |
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294 | us_wall = kappa * vel_total / ( LOG( zp / z0(j,i) ) + & |
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295 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
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296 | ) |
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297 | ELSE |
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298 | |
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299 | ! |
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300 | !-- Unstable stratification |
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301 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
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302 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
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303 | |
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304 | us_wall = kappa * vel_total / ( & |
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305 | LOG( zp / z0(j,i) ) - & |
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306 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
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307 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
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308 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
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309 | ) |
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310 | ENDIF |
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311 | |
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312 | ! |
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313 | !-- (4) Compute zp/L (corresponds to neutral Richardson flux |
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314 | !-- number rifs) |
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315 | rifs = -1.0 * zp * kappa * g * wspts / ( pt_i * & |
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316 | ( us_wall**3 + 1E-30 ) ) |
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317 | |
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318 | ! |
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319 | !-- Limit the value range of the Richardson numbers. |
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320 | !-- This is necessary for very small velocities (u,w --> 0), |
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321 | !-- because the absolute value of rif can then become very |
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322 | !-- large, which in consequence would result in very large |
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323 | !-- shear stresses and very small momentum fluxes (both are |
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324 | !-- generally unrealistic). |
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325 | IF ( rifs < rif_min ) rifs = rif_min |
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326 | IF ( rifs > rif_max ) rifs = rif_max |
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327 | |
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328 | ! |
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329 | !-- (5) Compute wall_flux (u'v', v'u', w'v', or w'u') |
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330 | IF ( rifs >= 0.0 ) THEN |
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331 | |
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332 | ! |
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333 | !-- Stable stratification (and neutral) |
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334 | wall_flux(k,j,i) = kappa * & |
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335 | ( a*u(k,j,i) + b*v(k,j,i) + (c1+c2)*w(k,j,i) ) / & |
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336 | ( LOG( zp / z0(j,i) ) + & |
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337 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
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338 | ) |
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339 | ELSE |
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340 | |
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341 | ! |
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342 | !-- Unstable stratification |
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343 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
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344 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
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345 | |
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346 | wall_flux(k,j,i) = kappa * & |
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347 | ( a*u(k,j,i) + b*v(k,j,i) + (c1+c2)*w(k,j,i) ) / ( & |
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348 | LOG( zp / z0(j,i) ) - & |
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349 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
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350 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
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351 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
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352 | ) |
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353 | ENDIF |
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354 | wall_flux(k,j,i) = -wall_flux(k,j,i) * us_wall |
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355 | |
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356 | ! |
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357 | !-- store rifs for next time step |
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358 | rif_wall(k,j,i,wall_index) = rifs |
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359 | |
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360 | ENDIF |
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361 | |
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362 | ENDDO |
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363 | ENDDO |
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364 | ENDDO |
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365 | !$acc end kernels |
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366 | |
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367 | END SUBROUTINE wall_fluxes_acc |
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368 | |
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369 | |
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370 | !------------------------------------------------------------------------------! |
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371 | ! Call for all grid point i,j |
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372 | !------------------------------------------------------------------------------! |
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373 | SUBROUTINE wall_fluxes_ij( i, j, nzb_w, nzt_w, wall_flux, a, b, c1, c2 ) |
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374 | |
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375 | USE arrays_3d |
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376 | USE control_parameters |
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377 | USE grid_variables |
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378 | USE indices |
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379 | USE statistics |
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380 | |
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381 | IMPLICIT NONE |
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382 | |
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383 | INTEGER :: i, j, k, nzb_w, nzt_w, wall_index |
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384 | REAL :: a, b, c1, c2, h1, h2, zp |
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385 | |
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386 | REAL :: pts, pt_i, rifs, u_i, v_i, us_wall, vel_total, ws, wspts |
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387 | |
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388 | REAL, DIMENSION(nzb:nzt+1) :: wall_flux |
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389 | |
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390 | |
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391 | zp = 0.5 * ( (a+c1) * dy + (b+c2) * dx ) |
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392 | wall_flux = 0.0 |
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393 | wall_index = NINT( a+ 2*b + 3*c1 + 4*c2 ) |
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394 | |
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395 | ! |
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396 | !-- All subsequent variables are computed for the respective location where |
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397 | !-- the respective flux is defined. |
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398 | DO k = nzb_w, nzt_w |
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399 | |
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400 | ! |
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401 | !-- (1) Compute rifs, u_i, v_i, ws, pt' and w'pt' |
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402 | rifs = rif_wall(k,j,i,wall_index) |
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403 | |
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404 | u_i = a * u(k,j,i) + c1 * 0.25 * & |
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405 | ( u(k+1,j,i+1) + u(k+1,j,i) + u(k,j,i+1) + u(k,j,i) ) |
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406 | |
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407 | v_i = b * v(k,j,i) + c2 * 0.25 * & |
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408 | ( v(k+1,j+1,i) + v(k+1,j,i) + v(k,j+1,i) + v(k,j,i) ) |
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409 | |
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410 | ws = ( c1 + c2 ) * w(k,j,i) + 0.25 * ( & |
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411 | a * ( w(k-1,j,i-1) + w(k-1,j,i) + w(k,j,i-1) + w(k,j,i) ) & |
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412 | + b * ( w(k-1,j-1,i) + w(k-1,j,i) + w(k,j-1,i) + w(k,j,i) ) & |
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413 | ) |
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414 | pt_i = 0.5 * ( pt(k,j,i) + a * pt(k,j,i-1) + b * pt(k,j-1,i) & |
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415 | + ( c1 + c2 ) * pt(k+1,j,i) ) |
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416 | |
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417 | pts = pt_i - hom(k,1,4,0) |
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418 | wspts = ws * pts |
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419 | |
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420 | ! |
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421 | !-- (2) Compute wall-parallel absolute velocity vel_total |
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422 | vel_total = SQRT( ws**2 + ( a+c1 ) * u_i**2 + ( b+c2 ) * v_i**2 ) |
---|
423 | |
---|
424 | ! |
---|
425 | !-- (3) Compute wall friction velocity us_wall |
---|
426 | IF ( rifs >= 0.0 ) THEN |
---|
427 | |
---|
428 | ! |
---|
429 | !-- Stable stratification (and neutral) |
---|
430 | us_wall = kappa * vel_total / ( LOG( zp / z0(j,i) ) + & |
---|
431 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
---|
432 | ) |
---|
433 | ELSE |
---|
434 | |
---|
435 | ! |
---|
436 | !-- Unstable stratification |
---|
437 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
438 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
439 | |
---|
440 | us_wall = kappa * vel_total / ( & |
---|
441 | LOG( zp / z0(j,i) ) - & |
---|
442 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
443 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
444 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
445 | ) |
---|
446 | ENDIF |
---|
447 | |
---|
448 | ! |
---|
449 | !-- (4) Compute zp/L (corresponds to neutral Richardson flux number |
---|
450 | !-- rifs) |
---|
451 | rifs = -1.0 * zp * kappa * g * wspts / ( pt_i * (us_wall**3 + 1E-30) ) |
---|
452 | |
---|
453 | ! |
---|
454 | !-- Limit the value range of the Richardson numbers. |
---|
455 | !-- This is necessary for very small velocities (u,w --> 0), because |
---|
456 | !-- the absolute value of rif can then become very large, which in |
---|
457 | !-- consequence would result in very large shear stresses and very |
---|
458 | !-- small momentum fluxes (both are generally unrealistic). |
---|
459 | IF ( rifs < rif_min ) rifs = rif_min |
---|
460 | IF ( rifs > rif_max ) rifs = rif_max |
---|
461 | |
---|
462 | ! |
---|
463 | !-- (5) Compute wall_flux (u'v', v'u', w'v', or w'u') |
---|
464 | IF ( rifs >= 0.0 ) THEN |
---|
465 | |
---|
466 | ! |
---|
467 | !-- Stable stratification (and neutral) |
---|
468 | wall_flux(k) = kappa * & |
---|
469 | ( a*u(k,j,i) + b*v(k,j,i) + (c1+c2)*w(k,j,i) ) / & |
---|
470 | ( LOG( zp / z0(j,i) ) + & |
---|
471 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
---|
472 | ) |
---|
473 | ELSE |
---|
474 | |
---|
475 | ! |
---|
476 | !-- Unstable stratification |
---|
477 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
478 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
479 | |
---|
480 | wall_flux(k) = kappa * & |
---|
481 | ( a*u(k,j,i) + b*v(k,j,i) + (c1+c2)*w(k,j,i) ) / ( & |
---|
482 | LOG( zp / z0(j,i) ) - & |
---|
483 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
484 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
485 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
486 | ) |
---|
487 | ENDIF |
---|
488 | wall_flux(k) = -wall_flux(k) * us_wall |
---|
489 | |
---|
490 | ! |
---|
491 | !-- store rifs for next time step |
---|
492 | rif_wall(k,j,i,wall_index) = rifs |
---|
493 | |
---|
494 | ENDDO |
---|
495 | |
---|
496 | END SUBROUTINE wall_fluxes_ij |
---|
497 | |
---|
498 | |
---|
499 | |
---|
500 | !------------------------------------------------------------------------------! |
---|
501 | ! Call for all grid points |
---|
502 | !------------------------------------------------------------------------------! |
---|
503 | SUBROUTINE wall_fluxes_e( wall_flux, a, b, c1, c2, wall ) |
---|
504 | |
---|
505 | !------------------------------------------------------------------------------! |
---|
506 | ! Description: |
---|
507 | ! ------------ |
---|
508 | ! Calculates momentum fluxes at vertical walls for routine production_e |
---|
509 | ! assuming Monin-Obukhov similarity. |
---|
510 | ! Indices: usvs a=1, vsus b=1, wsvs c1=1, wsus c2=1 (other=0). |
---|
511 | !------------------------------------------------------------------------------! |
---|
512 | |
---|
513 | USE arrays_3d |
---|
514 | USE control_parameters |
---|
515 | USE grid_variables |
---|
516 | USE indices |
---|
517 | USE statistics |
---|
518 | |
---|
519 | IMPLICIT NONE |
---|
520 | |
---|
521 | INTEGER :: i, j, k, kk, wall_index |
---|
522 | REAL :: a, b, c1, c2, h1, h2, u_i, v_i, us_wall, vel_total, vel_zp, & |
---|
523 | ws, zp |
---|
524 | |
---|
525 | REAL :: rifs |
---|
526 | |
---|
527 | REAL, DIMENSION(nysg:nyng,nxlg:nxrg) :: wall |
---|
528 | REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wall_flux |
---|
529 | |
---|
530 | |
---|
531 | zp = 0.5 * ( (a+c1) * dy + (b+c2) * dx ) |
---|
532 | wall_flux = 0.0 |
---|
533 | wall_index = NINT( a+ 2*b + 3*c1 + 4*c2 ) |
---|
534 | |
---|
535 | DO i = nxl, nxr |
---|
536 | DO j = nys, nyn |
---|
537 | |
---|
538 | IF ( wall(j,i) /= 0.0 ) THEN |
---|
539 | ! |
---|
540 | !-- All subsequent variables are computed for scalar locations. |
---|
541 | DO k = nzb_diff_s_inner(j,i)-1, nzb_diff_s_outer(j,i)-2 |
---|
542 | ! |
---|
543 | !-- (1) Compute rifs, u_i, v_i, and ws |
---|
544 | IF ( k == nzb_diff_s_inner(j,i)-1 ) THEN |
---|
545 | kk = nzb_diff_s_inner(j,i)-1 |
---|
546 | ELSE |
---|
547 | kk = k-1 |
---|
548 | ENDIF |
---|
549 | rifs = 0.5 * ( rif_wall(k,j,i,wall_index) + & |
---|
550 | a * rif_wall(k,j,i+1,1) + b * rif_wall(k,j+1,i,2) + & |
---|
551 | c1 * rif_wall(kk,j,i,3) + c2 * rif_wall(kk,j,i,4) & |
---|
552 | ) |
---|
553 | |
---|
554 | u_i = 0.5 * ( u(k,j,i) + u(k,j,i+1) ) |
---|
555 | v_i = 0.5 * ( v(k,j,i) + v(k,j+1,i) ) |
---|
556 | ws = 0.5 * ( w(k,j,i) + w(k-1,j,i) ) |
---|
557 | ! |
---|
558 | !-- (2) Compute wall-parallel absolute velocity vel_total and |
---|
559 | !-- interpolate appropriate velocity component vel_zp. |
---|
560 | vel_total = SQRT( ws**2 + (a+c1) * u_i**2 + (b+c2) * v_i**2 ) |
---|
561 | vel_zp = 0.5 * ( a * u_i + b * v_i + (c1+c2) * ws ) |
---|
562 | ! |
---|
563 | !-- (3) Compute wall friction velocity us_wall |
---|
564 | IF ( rifs >= 0.0 ) THEN |
---|
565 | |
---|
566 | ! |
---|
567 | !-- Stable stratification (and neutral) |
---|
568 | us_wall = kappa * vel_total / ( LOG( zp / z0(j,i) ) + & |
---|
569 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
---|
570 | ) |
---|
571 | ELSE |
---|
572 | |
---|
573 | ! |
---|
574 | !-- Unstable stratification |
---|
575 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
576 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
577 | |
---|
578 | us_wall = kappa * vel_total / ( & |
---|
579 | LOG( zp / z0(j,i) ) - & |
---|
580 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
581 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
582 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
583 | ) |
---|
584 | ENDIF |
---|
585 | |
---|
586 | ! |
---|
587 | !-- Skip step (4) of wall_fluxes, because here rifs is already |
---|
588 | !-- available from (1) |
---|
589 | ! |
---|
590 | !-- (5) Compute wall_flux (u'v', v'u', w'v', or w'u') |
---|
591 | |
---|
592 | IF ( rifs >= 0.0 ) THEN |
---|
593 | |
---|
594 | ! |
---|
595 | !-- Stable stratification (and neutral) |
---|
596 | wall_flux(k,j,i) = kappa * vel_zp / & |
---|
597 | ( LOG( zp/z0(j,i) ) + 5.0*rifs * ( zp-z0(j,i) ) / zp ) |
---|
598 | ELSE |
---|
599 | |
---|
600 | ! |
---|
601 | !-- Unstable stratification |
---|
602 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
603 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
604 | |
---|
605 | wall_flux(k,j,i) = kappa * vel_zp / ( & |
---|
606 | LOG( zp / z0(j,i) ) - & |
---|
607 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
608 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
609 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
610 | ) |
---|
611 | ENDIF |
---|
612 | wall_flux(k,j,i) = - wall_flux(k,j,i) * us_wall |
---|
613 | |
---|
614 | ENDDO |
---|
615 | |
---|
616 | ENDIF |
---|
617 | |
---|
618 | ENDDO |
---|
619 | ENDDO |
---|
620 | |
---|
621 | END SUBROUTINE wall_fluxes_e |
---|
622 | |
---|
623 | |
---|
624 | !------------------------------------------------------------------------------! |
---|
625 | ! Call for all grid points - accelerator version |
---|
626 | !------------------------------------------------------------------------------! |
---|
627 | SUBROUTINE wall_fluxes_e_acc( wall_flux, a, b, c1, c2, wall ) |
---|
628 | |
---|
629 | !------------------------------------------------------------------------------! |
---|
630 | ! Description: |
---|
631 | ! ------------ |
---|
632 | ! Calculates momentum fluxes at vertical walls for routine production_e |
---|
633 | ! assuming Monin-Obukhov similarity. |
---|
634 | ! Indices: usvs a=1, vsus b=1, wsvs c1=1, wsus c2=1 (other=0). |
---|
635 | !------------------------------------------------------------------------------! |
---|
636 | |
---|
637 | USE arrays_3d |
---|
638 | USE control_parameters |
---|
639 | USE grid_variables |
---|
640 | USE indices |
---|
641 | USE statistics |
---|
642 | |
---|
643 | IMPLICIT NONE |
---|
644 | |
---|
645 | INTEGER :: i, j, k, kk, max_outer, min_inner, wall_index |
---|
646 | REAL :: a, b, c1, c2, h1, h2, u_i, v_i, us_wall, vel_total, vel_zp, & |
---|
647 | ws, zp |
---|
648 | |
---|
649 | REAL :: rifs |
---|
650 | |
---|
651 | REAL, DIMENSION(nysg:nyng,nxlg:nxrg) :: wall |
---|
652 | REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wall_flux |
---|
653 | |
---|
654 | |
---|
655 | zp = 0.5 * ( (a+c1) * dy + (b+c2) * dx ) |
---|
656 | wall_flux = 0.0 |
---|
657 | wall_index = NINT( a+ 2*b + 3*c1 + 4*c2 ) |
---|
658 | |
---|
659 | min_inner = MINVAL( nzb_diff_s_inner(nys:nyn,nxl:nxr) ) - 1 |
---|
660 | max_outer = MAXVAL( nzb_diff_s_outer(nys:nyn,nxl:nxr) ) - 2 |
---|
661 | |
---|
662 | !$acc kernels present( nzb_diff_s_inner, nzb_diff_s_outer, pt, rif_wall ) & |
---|
663 | !$acc present( u, v, w, wall, wall_flux, z0 ) |
---|
664 | !$acc loop |
---|
665 | DO i = nxl, nxr |
---|
666 | DO j = nys, nyn |
---|
667 | !$acc loop vector(32) |
---|
668 | DO k = min_inner, max_outer |
---|
669 | ! |
---|
670 | !-- All subsequent variables are computed for scalar locations |
---|
671 | IF ( k >= nzb_diff_s_inner(j,i)-1 .AND. & |
---|
672 | k <= nzb_diff_s_outer(j,i)-2 .AND. wall(j,i) /= 0.0 ) THEN |
---|
673 | ! |
---|
674 | !-- (1) Compute rifs, u_i, v_i, and ws |
---|
675 | IF ( k == nzb_diff_s_inner(j,i)-1 ) THEN |
---|
676 | kk = nzb_diff_s_inner(j,i)-1 |
---|
677 | ELSE |
---|
678 | kk = k-1 |
---|
679 | ENDIF |
---|
680 | rifs = 0.5 * ( rif_wall(k,j,i,wall_index) + & |
---|
681 | a * rif_wall(k,j,i+1,1) + b * rif_wall(k,j+1,i,2) + & |
---|
682 | c1 * rif_wall(kk,j,i,3) + c2 * rif_wall(kk,j,i,4) & |
---|
683 | ) |
---|
684 | |
---|
685 | u_i = 0.5 * ( u(k,j,i) + u(k,j,i+1) ) |
---|
686 | v_i = 0.5 * ( v(k,j,i) + v(k,j+1,i) ) |
---|
687 | ws = 0.5 * ( w(k,j,i) + w(k-1,j,i) ) |
---|
688 | ! |
---|
689 | !-- (2) Compute wall-parallel absolute velocity vel_total and |
---|
690 | !-- interpolate appropriate velocity component vel_zp. |
---|
691 | vel_total = SQRT( ws**2 + (a+c1) * u_i**2 + (b+c2) * v_i**2 ) |
---|
692 | vel_zp = 0.5 * ( a * u_i + b * v_i + (c1+c2) * ws ) |
---|
693 | ! |
---|
694 | !-- (3) Compute wall friction velocity us_wall |
---|
695 | IF ( rifs >= 0.0 ) THEN |
---|
696 | |
---|
697 | ! |
---|
698 | !-- Stable stratification (and neutral) |
---|
699 | us_wall = kappa * vel_total / ( LOG( zp / z0(j,i) ) + & |
---|
700 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
---|
701 | ) |
---|
702 | ELSE |
---|
703 | |
---|
704 | ! |
---|
705 | !-- Unstable stratification |
---|
706 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
707 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
708 | |
---|
709 | us_wall = kappa * vel_total / ( & |
---|
710 | LOG( zp / z0(j,i) ) - & |
---|
711 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
712 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
713 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
714 | ) |
---|
715 | ENDIF |
---|
716 | |
---|
717 | ! |
---|
718 | !-- Skip step (4) of wall_fluxes, because here rifs is already |
---|
719 | !-- available from (1) |
---|
720 | ! |
---|
721 | !-- (5) Compute wall_flux (u'v', v'u', w'v', or w'u') |
---|
722 | |
---|
723 | IF ( rifs >= 0.0 ) THEN |
---|
724 | |
---|
725 | ! |
---|
726 | !-- Stable stratification (and neutral) |
---|
727 | wall_flux(k,j,i) = kappa * vel_zp / & |
---|
728 | ( LOG( zp/z0(j,i) ) + 5.0*rifs * ( zp-z0(j,i) ) / zp ) |
---|
729 | ELSE |
---|
730 | |
---|
731 | ! |
---|
732 | !-- Unstable stratification |
---|
733 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
734 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
735 | |
---|
736 | wall_flux(k,j,i) = kappa * vel_zp / ( & |
---|
737 | LOG( zp / z0(j,i) ) - & |
---|
738 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
739 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
740 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
741 | ) |
---|
742 | ENDIF |
---|
743 | wall_flux(k,j,i) = - wall_flux(k,j,i) * us_wall |
---|
744 | |
---|
745 | ENDIF |
---|
746 | |
---|
747 | ENDDO |
---|
748 | ENDDO |
---|
749 | ENDDO |
---|
750 | !$acc end kernels |
---|
751 | |
---|
752 | END SUBROUTINE wall_fluxes_e_acc |
---|
753 | |
---|
754 | |
---|
755 | !------------------------------------------------------------------------------! |
---|
756 | ! Call for grid point i,j |
---|
757 | !------------------------------------------------------------------------------! |
---|
758 | SUBROUTINE wall_fluxes_e_ij( i, j, nzb_w, nzt_w, wall_flux, a, b, c1, c2 ) |
---|
759 | |
---|
760 | USE arrays_3d |
---|
761 | USE control_parameters |
---|
762 | USE grid_variables |
---|
763 | USE indices |
---|
764 | USE statistics |
---|
765 | |
---|
766 | IMPLICIT NONE |
---|
767 | |
---|
768 | INTEGER :: i, j, k, kk, nzb_w, nzt_w, wall_index |
---|
769 | REAL :: a, b, c1, c2, h1, h2, u_i, v_i, us_wall, vel_total, vel_zp, & |
---|
770 | ws, zp |
---|
771 | |
---|
772 | REAL :: rifs |
---|
773 | |
---|
774 | REAL, DIMENSION(nzb:nzt+1) :: wall_flux |
---|
775 | |
---|
776 | |
---|
777 | zp = 0.5 * ( (a+c1) * dy + (b+c2) * dx ) |
---|
778 | wall_flux = 0.0 |
---|
779 | wall_index = NINT( a+ 2*b + 3*c1 + 4*c2 ) |
---|
780 | |
---|
781 | ! |
---|
782 | !-- All subsequent variables are computed for scalar locations. |
---|
783 | DO k = nzb_w, nzt_w |
---|
784 | |
---|
785 | ! |
---|
786 | !-- (1) Compute rifs, u_i, v_i, and ws |
---|
787 | IF ( k == nzb_w ) THEN |
---|
788 | kk = nzb_w |
---|
789 | ELSE |
---|
790 | kk = k-1 |
---|
791 | ENDIF |
---|
792 | rifs = 0.5 * ( rif_wall(k,j,i,wall_index) + & |
---|
793 | a * rif_wall(k,j,i+1,1) + b * rif_wall(k,j+1,i,2) + & |
---|
794 | c1 * rif_wall(kk,j,i,3) + c2 * rif_wall(kk,j,i,4) & |
---|
795 | ) |
---|
796 | |
---|
797 | u_i = 0.5 * ( u(k,j,i) + u(k,j,i+1) ) |
---|
798 | v_i = 0.5 * ( v(k,j,i) + v(k,j+1,i) ) |
---|
799 | ws = 0.5 * ( w(k,j,i) + w(k-1,j,i) ) |
---|
800 | ! |
---|
801 | !-- (2) Compute wall-parallel absolute velocity vel_total and |
---|
802 | !-- interpolate appropriate velocity component vel_zp. |
---|
803 | vel_total = SQRT( ws**2 + (a+c1) * u_i**2 + (b+c2) * v_i**2 ) |
---|
804 | vel_zp = 0.5 * ( a * u_i + b * v_i + (c1+c2) * ws ) |
---|
805 | ! |
---|
806 | !-- (3) Compute wall friction velocity us_wall |
---|
807 | IF ( rifs >= 0.0 ) THEN |
---|
808 | |
---|
809 | ! |
---|
810 | !-- Stable stratification (and neutral) |
---|
811 | us_wall = kappa * vel_total / ( LOG( zp / z0(j,i) ) + & |
---|
812 | 5.0 * rifs * ( zp - z0(j,i) ) / zp & |
---|
813 | ) |
---|
814 | ELSE |
---|
815 | |
---|
816 | ! |
---|
817 | !-- Unstable stratification |
---|
818 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
---|
819 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
---|
820 | |
---|
821 | us_wall = kappa * vel_total / ( & |
---|
822 | LOG( zp / z0(j,i) ) - & |
---|
823 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
---|
824 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
---|
825 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
---|
826 | ) |
---|
827 | ENDIF |
---|
828 | |
---|
829 | ! |
---|
830 | !-- Skip step (4) of wall_fluxes, because here rifs is already |
---|
831 | !-- available from (1) |
---|
832 | ! |
---|
833 | !-- (5) Compute wall_flux (u'v', v'u', w'v', or w'u') |
---|
834 | !-- First interpolate the velocity (this is different from |
---|
835 | !-- subroutine wall_fluxes because fluxes in subroutine |
---|
836 | !-- wall_fluxes_e are defined at scalar locations). |
---|
837 | vel_zp = 0.5 * ( a * ( u(k,j,i) + u(k,j,i+1) ) + & |
---|
838 | b * ( v(k,j,i) + v(k,j+1,i) ) + & |
---|
839 | (c1+c2) * ( w(k,j,i) + w(k-1,j,i) ) & |
---|
840 | ) |
---|
841 | |
---|
842 | IF ( rifs >= 0.0 ) THEN |
---|
843 | |
---|
844 | ! |
---|
845 | !-- Stable stratification (and neutral) |
---|
846 | wall_flux(k) = kappa * vel_zp / & |
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847 | ( LOG( zp/z0(j,i) ) + 5.0*rifs * ( zp-z0(j,i) ) / zp ) |
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848 | ELSE |
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849 | |
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850 | ! |
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851 | !-- Unstable stratification |
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852 | h1 = SQRT( SQRT( 1.0 - 16.0 * rifs ) ) |
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853 | h2 = SQRT( SQRT( 1.0 - 16.0 * rifs * z0(j,i) / zp ) ) |
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854 | |
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855 | wall_flux(k) = kappa * vel_zp / ( & |
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856 | LOG( zp / z0(j,i) ) - & |
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857 | LOG( ( 1.0 + h1 )**2 * ( 1.0 + h1**2 ) / ( & |
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858 | ( 1.0 + h2 )**2 * ( 1.0 + h2**2 ) ) ) + & |
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859 | 2.0 * ( ATAN( h1 ) - ATAN( h2 ) ) & |
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860 | ) |
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861 | ENDIF |
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862 | wall_flux(k) = - wall_flux(k) * us_wall |
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863 | |
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864 | ENDDO |
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865 | |
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866 | END SUBROUTINE wall_fluxes_e_ij |
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867 | |
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868 | END MODULE wall_fluxes_mod |
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