1 | SUBROUTINE init_grid |
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2 | |
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3 | !------------------------------------------------------------------------------! |
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4 | ! Actual revisions: |
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5 | ! ----------------- |
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6 | ! |
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7 | ! |
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8 | ! Former revisions: |
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9 | ! ----------------- |
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10 | ! $Id$ |
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11 | ! RCS Log replace by Id keyword, revision history cleaned up |
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12 | ! |
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13 | ! Revision 1.17 2006/08/22 14:00:05 raasch |
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14 | ! +dz_max to limit vertical stretching, |
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15 | ! bugfix in index array initialization for line- or point-like topography |
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16 | ! structures |
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17 | ! |
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18 | ! Revision 1.1 1997/08/11 06:17:45 raasch |
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19 | ! Initial revision (Testversion) |
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20 | ! |
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21 | ! |
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22 | ! Description: |
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23 | ! ------------ |
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24 | ! Creating grid depending constants |
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25 | !------------------------------------------------------------------------------! |
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26 | |
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27 | USE arrays_3d |
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28 | USE control_parameters |
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29 | USE grid_variables |
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30 | USE indices |
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31 | USE pegrid |
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32 | |
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33 | IMPLICIT NONE |
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34 | |
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35 | INTEGER :: bh, blx, bly, bxl, bxr, byn, bys, i, i_center, j, j_center, k, & |
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36 | l, nzb_si, nzt_l, vi |
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37 | |
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38 | INTEGER, DIMENSION(:), ALLOCATABLE :: vertical_influence |
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39 | |
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40 | INTEGER, DIMENSION(:,:), ALLOCATABLE :: corner_nl, corner_nr, corner_sl, & |
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41 | corner_sr, wall_l, wall_n, wall_r,& |
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42 | wall_s, nzb_local, nzb_tmp |
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43 | |
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44 | REAL :: dx_l, dy_l, dz_stretched |
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45 | |
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46 | REAL, DIMENSION(0:ny,0:nx) :: topo_height |
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47 | |
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48 | REAL, DIMENSION(:,:,:), ALLOCATABLE :: distance |
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49 | |
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50 | ! |
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51 | !-- Allocate grid arrays |
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52 | ALLOCATE( ddzu(1:nzt+1), ddzw(1:nzt+1), dd2zu(1:nzt), dzu(1:nzt+1), & |
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53 | dzw(1:nzt+1), l_grid(1:nzt), zu(0:nzt+1), zw(0:nzt+1) ) |
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54 | |
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55 | ! |
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56 | !-- Compute height of u-levels from constant grid length and dz stretch factors |
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57 | IF ( dz == -1.0 ) THEN |
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58 | IF ( myid == 0 ) PRINT*,'+++ init_grid: missing dz' |
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59 | CALL local_stop |
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60 | ELSEIF ( dz <= 0.0 ) THEN |
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61 | IF ( myid == 0 ) PRINT*,'+++ init_grid: dz=',dz,' <= 0.0' |
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62 | CALL local_stop |
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63 | ENDIF |
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64 | ! |
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65 | !-- Since the w-level lies on the surface, the first u-level (staggered!) lies |
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66 | !-- below the surface (used for "mirror" boundary condition). |
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67 | !-- The first u-level above the surface corresponds to the top of the |
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68 | !-- Prandtl-layer. |
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69 | zu(0) = - dz * 0.5 |
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70 | zu(1) = dz * 0.5 |
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71 | |
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72 | dz_stretch_level_index = nzt+1 |
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73 | dz_stretched = dz |
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74 | DO k = 2, nzt+1 |
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75 | IF ( dz_stretch_level <= zu(k-1) .AND. dz_stretched < dz_max ) THEN |
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76 | dz_stretched = dz_stretched * dz_stretch_factor |
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77 | dz_stretched = MIN( dz_stretched, dz_max ) |
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78 | IF ( dz_stretch_level_index == nzt+1 ) dz_stretch_level_index = k-1 |
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79 | ENDIF |
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80 | zu(k) = zu(k-1) + dz_stretched |
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81 | ENDDO |
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82 | |
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83 | ! |
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84 | !-- Compute the u-levels. They are always staggered half-way between the |
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85 | !-- corresponding w-levels. The top w-level is extrapolated linearly. |
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86 | zw(0) = 0.0 |
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87 | DO k = 1, nzt |
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88 | zw(k) = ( zu(k) + zu(k+1) ) * 0.5 |
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89 | ENDDO |
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90 | zw(nzt+1) = zw(nzt) + 2.0 * ( zu(nzt+1) - zw(nzt) ) |
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91 | |
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92 | ! |
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93 | !-- Compute grid lengths. |
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94 | DO k = 1, nzt+1 |
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95 | dzu(k) = zu(k) - zu(k-1) |
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96 | ddzu(k) = 1.0 / dzu(k) |
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97 | dzw(k) = zw(k) - zw(k-1) |
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98 | ddzw(k) = 1.0 / dzw(k) |
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99 | ENDDO |
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100 | |
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101 | DO k = 1, nzt |
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102 | dd2zu(k) = 1.0 / ( dzu(k) + dzu(k+1) ) |
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103 | ENDDO |
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104 | |
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105 | ! |
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106 | !-- In case of multigrid method, compute grid lengths and grid factors for the |
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107 | !-- grid levels |
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108 | IF ( psolver == 'multigrid' ) THEN |
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109 | |
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110 | ALLOCATE( ddx2_mg(maximum_grid_level), ddy2_mg(maximum_grid_level), & |
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111 | dzu_mg(nzb+1:nzt+1,maximum_grid_level), & |
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112 | dzw_mg(nzb+1:nzt+1,maximum_grid_level), & |
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113 | f1_mg(nzb+1:nzt,maximum_grid_level), & |
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114 | f2_mg(nzb+1:nzt,maximum_grid_level), & |
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115 | f3_mg(nzb+1:nzt,maximum_grid_level) ) |
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116 | |
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117 | dzu_mg(:,maximum_grid_level) = dzu |
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118 | dzw_mg(:,maximum_grid_level) = dzw |
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119 | nzt_l = nzt |
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120 | DO l = maximum_grid_level-1, 1, -1 |
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121 | dzu_mg(nzb+1,l) = 2.0 * dzu_mg(nzb+1,l+1) |
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122 | dzw_mg(nzb+1,l) = 2.0 * dzw_mg(nzb+1,l+1) |
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123 | nzt_l = nzt_l / 2 |
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124 | DO k = 2, nzt_l+1 |
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125 | dzu_mg(k,l) = dzu_mg(2*k-2,l+1) + dzu_mg(2*k-1,l+1) |
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126 | dzw_mg(k,l) = dzw_mg(2*k-2,l+1) + dzw_mg(2*k-1,l+1) |
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127 | ENDDO |
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128 | ENDDO |
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129 | |
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130 | nzt_l = nzt |
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131 | dx_l = dx |
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132 | dy_l = dy |
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133 | DO l = maximum_grid_level, 1, -1 |
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134 | ddx2_mg(l) = 1.0 / dx_l**2 |
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135 | ddy2_mg(l) = 1.0 / dy_l**2 |
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136 | DO k = nzb+1, nzt_l |
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137 | f2_mg(k,l) = 1.0 / ( dzu_mg(k+1,l) * dzw_mg(k,l) ) |
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138 | f3_mg(k,l) = 1.0 / ( dzu_mg(k,l) * dzw_mg(k,l) ) |
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139 | f1_mg(k,l) = 2.0 * ( ddx2_mg(l) + ddy2_mg(l) ) + & |
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140 | f2_mg(k,l) + f3_mg(k,l) |
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141 | ENDDO |
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142 | nzt_l = nzt_l / 2 |
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143 | dx_l = dx_l * 2.0 |
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144 | dy_l = dy_l * 2.0 |
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145 | ENDDO |
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146 | |
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147 | ENDIF |
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148 | |
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149 | ! |
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150 | !-- Compute the reciprocal values of the horizontal grid lengths. |
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151 | ddx = 1.0 / dx |
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152 | ddy = 1.0 / dy |
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153 | dx2 = dx * dx |
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154 | dy2 = dy * dy |
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155 | ddx2 = 1.0 / dx2 |
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156 | ddy2 = 1.0 / dy2 |
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157 | |
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158 | ! |
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159 | !-- Compute the grid-dependent mixing length. |
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160 | DO k = 1, nzt |
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161 | l_grid(k) = ( dx * dy * dzw(k) )**0.33333333333333 |
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162 | ENDDO |
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163 | |
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164 | ! |
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165 | !-- Allocate outer and inner index arrays for topography and set |
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166 | !-- defaults |
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167 | ALLOCATE( corner_nl(nys:nyn,nxl:nxr), corner_nr(nys:nyn,nxl:nxr), & |
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168 | corner_sl(nys:nyn,nxl:nxr), corner_sr(nys:nyn,nxl:nxr), & |
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169 | nzb_local(-1:ny+1,-1:nx+1), nzb_tmp(-1:ny+1,-1:nx+1), & |
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170 | wall_l(nys:nyn,nxl:nxr), wall_n(nys:nyn,nxl:nxr), & |
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171 | wall_r(nys:nyn,nxl:nxr), wall_s(nys:nyn,nxl:nxr) ) |
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172 | ALLOCATE( fwxm(nys-1:nyn+1,nxl-1:nxr+1), fwxp(nys-1:nyn+1,nxl-1:nxr+1), & |
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173 | fwym(nys-1:nyn+1,nxl-1:nxr+1), fwyp(nys-1:nyn+1,nxl-1:nxr+1), & |
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174 | fxm(nys-1:nyn+1,nxl-1:nxr+1), fxp(nys-1:nyn+1,nxl-1:nxr+1), & |
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175 | fym(nys-1:nyn+1,nxl-1:nxr+1), fyp(nys-1:nyn+1,nxl-1:nxr+1), & |
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176 | nzb_s_inner(nys-1:nyn+1,nxl-1:nxr+1), & |
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177 | nzb_s_outer(nys-1:nyn+1,nxl-1:nxr+1), & |
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178 | nzb_u_inner(nys-1:nyn+1,nxl-1:nxr+1), & |
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179 | nzb_u_outer(nys-1:nyn+1,nxl-1:nxr+1), & |
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180 | nzb_v_inner(nys-1:nyn+1,nxl-1:nxr+1), & |
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181 | nzb_v_outer(nys-1:nyn+1,nxl-1:nxr+1), & |
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182 | nzb_w_inner(nys-1:nyn+1,nxl-1:nxr+1), & |
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183 | nzb_w_outer(nys-1:nyn+1,nxl-1:nxr+1), & |
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184 | nzb_diff_s_inner(nys-1:nyn+1,nxl-1:nxr+1), & |
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185 | nzb_diff_s_outer(nys-1:nyn+1,nxl-1:nxr+1), & |
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186 | nzb_diff_u(nys-1:nyn+1,nxl-1:nxr+1), & |
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187 | nzb_diff_v(nys-1:nyn+1,nxl-1:nxr+1), & |
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188 | nzb_2d(nys-1:nyn+1,nxl-1:nxr+1), & |
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189 | wall_e_x(nys-1:nyn+1,nxl-1:nxr+1), & |
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190 | wall_e_y(nys-1:nyn+1,nxl-1:nxr+1), & |
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191 | wall_u(nys-1:nyn+1,nxl-1:nxr+1), & |
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192 | wall_v(nys-1:nyn+1,nxl-1:nxr+1), & |
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193 | wall_w_x(nys-1:nyn+1,nxl-1:nxr+1), & |
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194 | wall_w_y(nys-1:nyn+1,nxl-1:nxr+1) ) |
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195 | |
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196 | ALLOCATE( l_wall(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) ) |
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197 | |
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198 | nzb_s_inner = nzb; nzb_s_outer = nzb |
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199 | nzb_u_inner = nzb; nzb_u_outer = nzb |
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200 | nzb_v_inner = nzb; nzb_v_outer = nzb |
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201 | nzb_w_inner = nzb; nzb_w_outer = nzb |
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202 | |
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203 | ! |
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204 | !-- Define vertical gridpoint from which on the usual finite difference |
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205 | !-- form (which does not use surface fluxes) is applied |
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206 | IF ( prandtl_layer .OR. use_surface_fluxes ) THEN |
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207 | nzb_diff = nzb + 2 |
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208 | ELSE |
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209 | nzb_diff = nzb + 1 |
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210 | ENDIF |
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211 | |
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212 | nzb_diff_s_inner = nzb_diff; nzb_diff_s_outer = nzb_diff |
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213 | nzb_diff_u = nzb_diff; nzb_diff_v = nzb_diff |
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214 | |
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215 | wall_e_x = 0.0; wall_e_y = 0.0; wall_u = 0.0; wall_v = 0.0 |
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216 | wall_w_x = 0.0; wall_w_y = 0.0 |
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217 | fwxp = 1.0; fwxm = 1.0; fwyp = 1.0; fwym = 1.0 |
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218 | fxp = 1.0; fxm = 1.0; fyp = 1.0; fym = 1.0 |
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219 | |
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220 | ! |
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221 | !-- Initialize near-wall mixing length l_wall only in the vertical direction |
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222 | !-- for the moment, |
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223 | !-- multiplication with wall_adjustment_factor near the end of this routine |
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224 | l_wall(nzb,:,:) = l_grid(1) |
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225 | DO k = nzb+1, nzt |
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226 | l_wall(k,:,:) = l_grid(k) |
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227 | ENDDO |
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228 | l_wall(nzt+1,:,:) = l_grid(nzt) |
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229 | |
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230 | ALLOCATE ( vertical_influence(nzb:nzt) ) |
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231 | DO k = 1, nzt |
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232 | vertical_influence(k) = MIN ( INT( l_grid(k) / & |
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233 | ( wall_adjustment_factor * dzw(k) ) + 0.5 ), nzt - k ) |
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234 | ENDDO |
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235 | |
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236 | DO k = 1, MAXVAL( nzb_s_inner ) |
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237 | IF ( l_grid(k) > 1.5 * dx * wall_adjustment_factor .OR. & |
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238 | l_grid(k) > 1.5 * dy * wall_adjustment_factor ) THEN |
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239 | IF ( myid == 0 ) THEN |
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240 | PRINT*, '+++ WARNING: grid anisotropy exceeds '// & |
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241 | 'threshold given by only local' |
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242 | PRINT*, ' horizontal reduction of near_wall '// & |
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243 | 'mixing length l_wall' |
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244 | PRINT*, ' starting from height level k = ', k, '.' |
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245 | ENDIF |
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246 | EXIT |
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247 | ENDIF |
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248 | ENDDO |
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249 | vertical_influence(0) = vertical_influence(1) |
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250 | |
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251 | DO i = nxl-1, nxr+1 |
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252 | DO j = nys-1, nyn+1 |
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253 | DO k = nzb_s_inner(j,i) + 1, & |
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254 | nzb_s_inner(j,i) + vertical_influence(nzb_s_inner(j,i)) |
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255 | l_wall(k,j,i) = zu(k) - zw(nzb_s_inner(j,i)) |
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256 | ENDDO |
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257 | ENDDO |
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258 | ENDDO |
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259 | |
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260 | ! |
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261 | !-- Set outer and inner index arrays for non-flat topography. |
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262 | !-- Here consistency checks concerning domain size and periodicity are |
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263 | !-- necessary. |
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264 | !-- Within this SELECT CASE structure only nzb_local is initialized |
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265 | !-- individually depending on the chosen topography type, all other index |
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266 | !-- arrays are initialized further below. |
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267 | SELECT CASE ( TRIM( topography ) ) |
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268 | |
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269 | CASE ( 'flat' ) |
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270 | ! |
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271 | !-- No actions necessary |
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272 | |
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273 | CASE ( 'single_building' ) |
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274 | ! |
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275 | !-- Single rectangular building, by default centered in the middle of the |
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276 | !-- total domain |
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277 | blx = NINT( building_length_x / dx ) |
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278 | bly = NINT( building_length_y / dy ) |
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279 | bh = NINT( building_height / dz ) |
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280 | |
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281 | IF ( building_wall_left == 9999999.9 ) THEN |
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282 | building_wall_left = ( nx + 1 - blx ) / 2 * dx |
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283 | ENDIF |
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284 | bxl = NINT( building_wall_left / dx ) |
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285 | bxr = bxl + blx |
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286 | |
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287 | IF ( building_wall_south == 9999999.9 ) THEN |
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288 | building_wall_south = ( ny + 1 - bly ) / 2 * dy |
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289 | ENDIF |
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290 | bys = NINT( building_wall_south / dy ) |
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291 | byn = bys + bly |
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292 | |
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293 | ! |
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294 | !-- Building size has to meet some requirements |
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295 | IF ( ( bxl < 1 ) .OR. ( bxr > nx-1 ) .OR. ( bxr < bxl+3 ) .OR. & |
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296 | ( bys < 1 ) .OR. ( byn > ny-1 ) .OR. ( byn < bys+3 ) ) THEN |
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297 | IF ( myid == 0 ) THEN |
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298 | PRINT*, '+++ init_grid: inconsistent building parameters:' |
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299 | PRINT*, ' bxl=', bxl, 'bxr=', bxr, 'bys=', bys, & |
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300 | 'byn=', byn, 'nx=', nx, 'ny=', ny |
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301 | ENDIF |
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302 | CALL local_stop |
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303 | ENDIF |
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304 | |
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305 | ! |
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306 | !-- Set the individual index arrays for all velocity components and |
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307 | !-- scalars, taking into account the staggered grid. The horizontal |
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308 | !-- wind component normal to a wall defines the position of the wall, and |
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309 | !-- in the respective direction the building is as long as specified in |
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310 | !-- building_length_?, but in the other horizontal direction (for w and s |
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311 | !-- in both horizontal directions) the building appears shortened by one |
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312 | !-- grid length due to the staggered grid. |
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313 | nzb_local = 0 |
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314 | nzb_local(bys:byn-1,bxl:bxr-1) = bh |
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315 | |
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316 | CASE ( 'read_from_file' ) |
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317 | ! |
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318 | !-- Arbitrary irregular topography data in PALM format (exactly matching |
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319 | !-- the grid size and total domain size) |
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320 | OPEN( 90, FILE='TOPOGRAPHY_DATA', STATUS='OLD', FORM='FORMATTED', & |
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321 | ERR=10 ) |
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322 | DO j = ny, 0, -1 |
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323 | READ( 90, *, ERR=11, END=11 ) ( topo_height(j,i), i = 0, nx ) |
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324 | ENDDO |
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325 | ! |
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326 | !-- Calculate the index height of the topography |
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327 | DO i = 0, nx |
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328 | DO j = 0, ny |
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329 | nzb_local(j,i) = NINT( topo_height(j,i) / dz ) |
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330 | ENDDO |
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331 | ENDDO |
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332 | nzb_local(-1,0:nx) = nzb_local(ny,0:nx) |
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333 | nzb_local(ny+1,0:nx) = nzb_local(0,0:nx) |
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334 | nzb_local(:,-1) = nzb_local(:,nx) |
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335 | nzb_local(:,nx+1) = nzb_local(:,0) |
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336 | |
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337 | GOTO 12 |
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338 | |
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339 | 10 IF ( myid == 0 ) THEN |
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340 | PRINT*, '+++ init_grid: file TOPOGRAPHY_DATA does not exist' |
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341 | ENDIF |
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342 | CALL local_stop |
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343 | |
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344 | 11 IF ( myid == 0 ) THEN |
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345 | PRINT*, '+++ init_grid: errors in file TOPOGRAPHY_DATA' |
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346 | ENDIF |
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347 | CALL local_stop |
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348 | |
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349 | 12 CLOSE( 90 ) |
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350 | |
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351 | CASE DEFAULT |
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352 | ! |
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353 | !-- The DEFAULT case is reached either if the parameter topography |
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354 | !-- contains a wrong character string or if the user has coded a special |
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355 | !-- case in the user interface. There, the subroutine user_init_grid |
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356 | !-- checks which of these two conditions applies. |
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357 | CALL user_init_grid( nzb_local ) |
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358 | |
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359 | END SELECT |
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360 | |
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361 | ! |
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362 | !-- Consistency checks and index array initialization are only required for |
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363 | !-- non-flat topography |
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364 | IF ( TRIM( topography ) /= 'flat' ) THEN |
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365 | |
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366 | ! |
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367 | !-- Consistency checks |
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368 | IF ( MINVAL( nzb_local ) < 0 .OR. MAXVAL( nzb_local ) > nz + 1 ) THEN |
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369 | IF ( myid == 0 ) THEN |
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370 | PRINT*, '+++ init_grid: nzb_local values are outside the', & |
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371 | 'model domain' |
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372 | PRINT*, ' MINVAL( nzb_local ) = ', MINVAL(nzb_local) |
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373 | PRINT*, ' MAXVAL( nzb_local ) = ', MAXVAL(nzb_local) |
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374 | ENDIF |
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375 | CALL local_stop |
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376 | ENDIF |
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377 | |
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378 | IF ( bc_lr == 'cyclic' ) THEN |
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379 | IF ( ANY( nzb_local(:,-1) /= nzb_local(:,nx) ) .OR. & |
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380 | ANY( nzb_local(:,0) /= nzb_local(:,nx+1) ) ) THEN |
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381 | IF ( myid == 0 ) THEN |
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382 | PRINT*, '+++ init_grid: nzb_local does not fulfill cyclic', & |
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383 | ' boundary condition in x-direction' |
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384 | ENDIF |
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385 | CALL local_stop |
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386 | ENDIF |
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387 | ENDIF |
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388 | IF ( bc_ns == 'cyclic' ) THEN |
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389 | IF ( ANY( nzb_local(-1,:) /= nzb_local(ny,:) ) .OR. & |
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390 | ANY( nzb_local(0,:) /= nzb_local(ny+1,:) ) ) THEN |
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391 | IF ( myid == 0 ) THEN |
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392 | PRINT*, '+++ init_grid: nzb_local does not fulfill cyclic', & |
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393 | ' boundary condition in y-direction' |
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394 | ENDIF |
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395 | CALL local_stop |
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396 | ENDIF |
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397 | ENDIF |
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398 | |
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399 | ! |
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400 | !-- Initialize index arrays nzb_s_inner and nzb_w_inner |
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401 | nzb_s_inner = nzb_local(nys-1:nyn+1,nxl-1:nxr+1) |
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402 | nzb_w_inner = nzb_local(nys-1:nyn+1,nxl-1:nxr+1) |
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403 | |
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404 | ! |
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405 | !-- Initialize remaining index arrays: |
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406 | !-- first pre-initialize them with nzb_s_inner... |
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407 | nzb_u_inner = nzb_s_inner |
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408 | nzb_u_outer = nzb_s_inner |
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409 | nzb_v_inner = nzb_s_inner |
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410 | nzb_v_outer = nzb_s_inner |
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411 | nzb_w_outer = nzb_s_inner |
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412 | nzb_s_outer = nzb_s_inner |
---|
413 | |
---|
414 | ! |
---|
415 | !-- ...then extend pre-initialized arrays in their according directions |
---|
416 | !-- based on nzb_local using nzb_tmp as a temporary global index array |
---|
417 | |
---|
418 | ! |
---|
419 | !-- nzb_s_outer: |
---|
420 | !-- extend nzb_local east-/westwards first, then north-/southwards |
---|
421 | nzb_tmp = nzb_local |
---|
422 | DO j = -1, ny + 1 |
---|
423 | DO i = 0, nx |
---|
424 | nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i), & |
---|
425 | nzb_local(j,i+1) ) |
---|
426 | ENDDO |
---|
427 | ENDDO |
---|
428 | DO i = nxl, nxr |
---|
429 | DO j = nys, nyn |
---|
430 | nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), & |
---|
431 | nzb_tmp(j+1,i) ) |
---|
432 | ENDDO |
---|
433 | ! |
---|
434 | !-- non-cyclic boundary conditions (overwritten by call of |
---|
435 | !-- exchange_horiz_2d_int below in case of cyclic boundary conditions) |
---|
436 | IF ( nys == 0 ) THEN |
---|
437 | j = -1 |
---|
438 | nzb_s_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) ) |
---|
439 | ENDIF |
---|
440 | IF ( nys == ny ) THEN |
---|
441 | j = ny + 1 |
---|
442 | nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) ) |
---|
443 | ENDIF |
---|
444 | ENDDO |
---|
445 | ! |
---|
446 | !-- nzb_w_outer: |
---|
447 | !-- identical to nzb_s_outer |
---|
448 | nzb_w_outer = nzb_s_outer |
---|
449 | |
---|
450 | ! |
---|
451 | !-- nzb_u_inner: |
---|
452 | !-- extend nzb_local rightwards only |
---|
453 | nzb_tmp = nzb_local |
---|
454 | DO j = -1, ny + 1 |
---|
455 | DO i = 0, nx + 1 |
---|
456 | nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i) ) |
---|
457 | ENDDO |
---|
458 | ENDDO |
---|
459 | nzb_u_inner = nzb_tmp(nys-1:nyn+1,nxl-1:nxr+1) |
---|
460 | |
---|
461 | ! |
---|
462 | !-- nzb_u_outer: |
---|
463 | !-- extend current nzb_tmp (nzb_u_inner) north-/southwards |
---|
464 | DO i = nxl, nxr |
---|
465 | DO j = nys, nyn |
---|
466 | nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), & |
---|
467 | nzb_tmp(j+1,i) ) |
---|
468 | ENDDO |
---|
469 | ! |
---|
470 | !-- non-cyclic boundary conditions (overwritten by call of |
---|
471 | !-- exchange_horiz_2d_int below in case of cyclic boundary conditions) |
---|
472 | IF ( nys == 0 ) THEN |
---|
473 | j = -1 |
---|
474 | nzb_u_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) ) |
---|
475 | ENDIF |
---|
476 | IF ( nys == ny ) THEN |
---|
477 | j = ny + 1 |
---|
478 | nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) ) |
---|
479 | ENDIF |
---|
480 | ENDDO |
---|
481 | |
---|
482 | ! |
---|
483 | !-- nzb_v_inner: |
---|
484 | !-- extend nzb_local northwards only |
---|
485 | nzb_tmp = nzb_local |
---|
486 | DO i = -1, nx + 1 |
---|
487 | DO j = 0, ny + 1 |
---|
488 | nzb_tmp(j,i) = MAX( nzb_local(j-1,i), nzb_local(j,i) ) |
---|
489 | ENDDO |
---|
490 | ENDDO |
---|
491 | nzb_v_inner = nzb_tmp(nys-1:nyn+1,nxl-1:nxr+1) |
---|
492 | |
---|
493 | ! |
---|
494 | !-- nzb_v_outer: |
---|
495 | !-- extend current nzb_tmp (nzb_v_inner) right-/leftwards |
---|
496 | DO j = nys, nyn |
---|
497 | DO i = nxl, nxr |
---|
498 | nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i), & |
---|
499 | nzb_tmp(j,i+1) ) |
---|
500 | ENDDO |
---|
501 | ! |
---|
502 | !-- non-cyclic boundary conditions (overwritten by call of |
---|
503 | !-- exchange_horiz_2d_int below in case of cyclic boundary conditions) |
---|
504 | IF ( nxl == 0 ) THEN |
---|
505 | i = -1 |
---|
506 | nzb_v_outer(j,i) = MAX( nzb_tmp(j,i+1), nzb_tmp(j,i) ) |
---|
507 | ENDIF |
---|
508 | IF ( nxr == nx ) THEN |
---|
509 | i = nx + 1 |
---|
510 | nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i) ) |
---|
511 | ENDIF |
---|
512 | ENDDO |
---|
513 | |
---|
514 | ! |
---|
515 | !-- Exchange of lateral boundary values (parallel computers) and cyclic |
---|
516 | !-- boundary conditions, if applicable. |
---|
517 | !-- Since nzb_s_inner and nzb_w_inner are derived directly from nzb_local |
---|
518 | !-- they do not require exchange and are not included here. |
---|
519 | CALL exchange_horiz_2d_int( nzb_u_inner ) |
---|
520 | CALL exchange_horiz_2d_int( nzb_u_outer ) |
---|
521 | CALL exchange_horiz_2d_int( nzb_v_inner ) |
---|
522 | CALL exchange_horiz_2d_int( nzb_v_outer ) |
---|
523 | CALL exchange_horiz_2d_int( nzb_w_outer ) |
---|
524 | CALL exchange_horiz_2d_int( nzb_s_outer ) |
---|
525 | |
---|
526 | ENDIF |
---|
527 | |
---|
528 | ! |
---|
529 | !-- Preliminary: to be removed after completion of the topography code! |
---|
530 | !-- Set the former default k index arrays nzb_2d |
---|
531 | nzb_2d = nzb |
---|
532 | |
---|
533 | ! |
---|
534 | !-- Set the individual index arrays which define the k index from which on |
---|
535 | !-- the usual finite difference form (which does not use surface fluxes) is |
---|
536 | !-- applied |
---|
537 | IF ( prandtl_layer .OR. use_surface_fluxes ) THEN |
---|
538 | nzb_diff_u = nzb_u_inner + 2 |
---|
539 | nzb_diff_v = nzb_v_inner + 2 |
---|
540 | nzb_diff_s_inner = nzb_s_inner + 2 |
---|
541 | nzb_diff_s_outer = nzb_s_outer + 2 |
---|
542 | ELSE |
---|
543 | nzb_diff_u = nzb_u_inner + 1 |
---|
544 | nzb_diff_v = nzb_v_inner + 1 |
---|
545 | nzb_diff_s_inner = nzb_s_inner + 1 |
---|
546 | nzb_diff_s_outer = nzb_s_outer + 1 |
---|
547 | ENDIF |
---|
548 | |
---|
549 | ! |
---|
550 | !-- Calculation of wall switches and factors required by diffusion_u/v.f90 and |
---|
551 | !-- for limitation of near-wall mixing length l_wall further below |
---|
552 | corner_nl = 0 |
---|
553 | corner_nr = 0 |
---|
554 | corner_sl = 0 |
---|
555 | corner_sr = 0 |
---|
556 | wall_l = 0 |
---|
557 | wall_n = 0 |
---|
558 | wall_r = 0 |
---|
559 | wall_s = 0 |
---|
560 | |
---|
561 | DO i = nxl, nxr |
---|
562 | DO j = nys, nyn |
---|
563 | ! |
---|
564 | !-- u-component |
---|
565 | IF ( nzb_u_outer(j,i) > nzb_u_outer(j+1,i) ) THEN |
---|
566 | wall_u(j,i) = 1.0 ! north wall (location of adjacent fluid) |
---|
567 | fym(j,i) = 0.0 |
---|
568 | fyp(j,i) = 1.0 |
---|
569 | ELSEIF ( nzb_u_outer(j,i) > nzb_u_outer(j-1,i) ) THEN |
---|
570 | wall_u(j,i) = 1.0 ! south wall (location of adjacent fluid) |
---|
571 | fym(j,i) = 1.0 |
---|
572 | fyp(j,i) = 0.0 |
---|
573 | ENDIF |
---|
574 | ! |
---|
575 | !-- v-component |
---|
576 | IF ( nzb_v_outer(j,i) > nzb_v_outer(j,i+1) ) THEN |
---|
577 | wall_v(j,i) = 1.0 ! rigth wall (location of adjacent fluid) |
---|
578 | fxm(j,i) = 0.0 |
---|
579 | fxp(j,i) = 1.0 |
---|
580 | ELSEIF ( nzb_v_outer(j,i) > nzb_v_outer(j,i-1) ) THEN |
---|
581 | wall_v(j,i) = 1.0 ! left wall (location of adjacent fluid) |
---|
582 | fxm(j,i) = 1.0 |
---|
583 | fxp(j,i) = 0.0 |
---|
584 | ENDIF |
---|
585 | ! |
---|
586 | !-- w-component, also used for scalars, separate arrays for shear |
---|
587 | !-- production of tke |
---|
588 | IF ( nzb_w_outer(j,i) > nzb_w_outer(j+1,i) ) THEN |
---|
589 | wall_e_y(j,i) = 1.0 ! north wall (location of adjacent fluid) |
---|
590 | wall_w_y(j,i) = 1.0 |
---|
591 | fwym(j,i) = 0.0 |
---|
592 | fwyp(j,i) = 1.0 |
---|
593 | ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j-1,i) ) THEN |
---|
594 | wall_e_y(j,i) = -1.0 ! south wall (location of adjacent fluid) |
---|
595 | wall_w_y(j,i) = 1.0 |
---|
596 | fwym(j,i) = 1.0 |
---|
597 | fwyp(j,i) = 0.0 |
---|
598 | ENDIF |
---|
599 | IF ( nzb_w_outer(j,i) > nzb_w_outer(j,i+1) ) THEN |
---|
600 | wall_e_x(j,i) = 1.0 ! right wall (location of adjacent fluid) |
---|
601 | wall_w_x(j,i) = 1.0 |
---|
602 | fwxm(j,i) = 0.0 |
---|
603 | fwxp(j,i) = 1.0 |
---|
604 | ELSEIF ( nzb_w_outer(j,i) > nzb_w_outer(j,i-1) ) THEN |
---|
605 | wall_e_x(j,i) = -1.0 ! left wall (location of adjacent fluid) |
---|
606 | wall_w_x(j,i) = 1.0 |
---|
607 | fwxm(j,i) = 1.0 |
---|
608 | fwxp(j,i) = 0.0 |
---|
609 | ENDIF |
---|
610 | ! |
---|
611 | !-- Wall and corner locations inside buildings for limitation of |
---|
612 | !-- near-wall mixing length l_wall |
---|
613 | IF ( nzb_s_inner(j,i) > nzb_s_inner(j+1,i) ) THEN |
---|
614 | |
---|
615 | wall_n(j,i) = nzb_s_inner(j+1,i) + 1 ! North wall |
---|
616 | |
---|
617 | IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN |
---|
618 | corner_nl(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northleft corner |
---|
619 | nzb_s_inner(j,i-1) ) + 1 |
---|
620 | ENDIF |
---|
621 | |
---|
622 | IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN |
---|
623 | corner_nr(j,i) = MAX( nzb_s_inner(j+1,i), & ! Northright corner |
---|
624 | nzb_s_inner(j,i+1) ) + 1 |
---|
625 | ENDIF |
---|
626 | |
---|
627 | ENDIF |
---|
628 | |
---|
629 | IF ( nzb_s_inner(j,i) > nzb_s_inner(j-1,i) ) THEN |
---|
630 | |
---|
631 | wall_s(j,i) = nzb_s_inner(j-1,i) + 1 ! South wall |
---|
632 | IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN |
---|
633 | corner_sl(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southleft corner |
---|
634 | nzb_s_inner(j,i-1) ) + 1 |
---|
635 | ENDIF |
---|
636 | |
---|
637 | IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN |
---|
638 | corner_sr(j,i) = MAX( nzb_s_inner(j-1,i), & ! Southright corner |
---|
639 | nzb_s_inner(j,i+1) ) + 1 |
---|
640 | ENDIF |
---|
641 | |
---|
642 | ENDIF |
---|
643 | |
---|
644 | IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i-1) ) THEN |
---|
645 | wall_l(j,i) = nzb_s_inner(j,i-1) + 1 ! Left wall |
---|
646 | ENDIF |
---|
647 | |
---|
648 | IF ( nzb_s_inner(j,i) > nzb_s_inner(j,i+1) ) THEN |
---|
649 | wall_r(j,i) = nzb_s_inner(j,i+1) + 1 ! Right wall |
---|
650 | ENDIF |
---|
651 | |
---|
652 | ENDDO |
---|
653 | ENDDO |
---|
654 | |
---|
655 | ! |
---|
656 | !-- In case of topography: limit near-wall mixing length l_wall further: |
---|
657 | !-- Go through all points of the subdomain one by one and look for the closest |
---|
658 | !-- surface |
---|
659 | IF ( TRIM(topography) /= 'flat' ) THEN |
---|
660 | DO i = nxl, nxr |
---|
661 | DO j = nys, nyn |
---|
662 | |
---|
663 | nzb_si = nzb_s_inner(j,i) |
---|
664 | vi = vertical_influence(nzb_si) |
---|
665 | |
---|
666 | IF ( wall_n(j,i) > 0 ) THEN |
---|
667 | ! |
---|
668 | !-- North wall (y distance) |
---|
669 | DO k = wall_n(j,i), nzb_si |
---|
670 | l_wall(k,j+1,i) = MIN( l_wall(k,j+1,i), 0.5 * dy ) |
---|
671 | ENDDO |
---|
672 | ! |
---|
673 | !-- Above North wall (yz distance) |
---|
674 | DO k = nzb_si + 1, nzb_si + vi |
---|
675 | l_wall(k,j+1,i) = MIN( l_wall(k,j+1,i), & |
---|
676 | SQRT( 0.25 * dy**2 + & |
---|
677 | ( zu(k) - zw(nzb_si) )**2 ) ) |
---|
678 | ENDDO |
---|
679 | ! |
---|
680 | !-- Northleft corner (xy distance) |
---|
681 | IF ( corner_nl(j,i) > 0 ) THEN |
---|
682 | DO k = corner_nl(j,i), nzb_si |
---|
683 | l_wall(k,j+1,i-1) = MIN( l_wall(k,j+1,i-1), & |
---|
684 | 0.5 * SQRT( dx**2 + dy**2 ) ) |
---|
685 | ENDDO |
---|
686 | ! |
---|
687 | !-- Above Northleft corner (xyz distance) |
---|
688 | DO k = nzb_si + 1, nzb_si + vi |
---|
689 | l_wall(k,j+1,i-1) = MIN( l_wall(k,j+1,i-1), & |
---|
690 | SQRT( 0.25 * (dx**2 + dy**2) + & |
---|
691 | ( zu(k) - zw(nzb_si) )**2 ) ) |
---|
692 | ENDDO |
---|
693 | ENDIF |
---|
694 | ! |
---|
695 | !-- Northright corner (xy distance) |
---|
696 | IF ( corner_nr(j,i) > 0 ) THEN |
---|
697 | DO k = corner_nr(j,i), nzb_si |
---|
698 | l_wall(k,j+1,i+1) = MIN( l_wall(k,j+1,i+1), & |
---|
699 | 0.5 * SQRT( dx**2 + dy**2 ) ) |
---|
700 | ENDDO |
---|
701 | ! |
---|
702 | !-- Above northright corner (xyz distance) |
---|
703 | DO k = nzb_si + 1, nzb_si + vi |
---|
704 | l_wall(k,j+1,i+1) = MIN( l_wall(k,j+1,i+1), & |
---|
705 | SQRT( 0.25 * (dx**2 + dy**2) + & |
---|
706 | ( zu(k) - zw(nzb_si) )**2 ) ) |
---|
707 | ENDDO |
---|
708 | ENDIF |
---|
709 | ENDIF |
---|
710 | |
---|
711 | IF ( wall_s(j,i) > 0 ) THEN |
---|
712 | ! |
---|
713 | !-- South wall (y distance) |
---|
714 | DO k = wall_s(j,i), nzb_si |
---|
715 | l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), 0.5 * dy ) |
---|
716 | ENDDO |
---|
717 | ! |
---|
718 | !-- Above south wall (yz distance) |
---|
719 | DO k = nzb_si + 1, & |
---|
720 | nzb_si + vi |
---|
721 | l_wall(k,j-1,i) = MIN( l_wall(k,j-1,i), & |
---|
722 | SQRT( 0.25 * dy**2 + & |
---|
723 | ( zu(k) - zw(nzb_si) )**2 ) ) |
---|
724 | ENDDO |
---|
725 | ! |
---|
726 | !-- Southleft corner (xy distance) |
---|
727 | IF ( corner_sl(j,i) > 0 ) THEN |
---|
728 | DO k = corner_sl(j,i), nzb_si |
---|
729 | l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), & |
---|
730 | 0.5 * SQRT( dx**2 + dy**2 ) ) |
---|
731 | ENDDO |
---|
732 | ! |
---|
733 | !-- Above southleft corner (xyz distance) |
---|
734 | DO k = nzb_si + 1, nzb_si + vi |
---|
735 | l_wall(k,j-1,i-1) = MIN( l_wall(k,j-1,i-1), & |
---|
736 | SQRT( 0.25 * (dx**2 + dy**2) + & |
---|
737 | ( zu(k) - zw(nzb_si) )**2 ) ) |
---|
738 | ENDDO |
---|
739 | ENDIF |
---|
740 | ! |
---|
741 | !-- Southright corner (xy distance) |
---|
742 | IF ( corner_sr(j,i) > 0 ) THEN |
---|
743 | DO k = corner_sr(j,i), nzb_si |
---|
744 | l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), & |
---|
745 | 0.5 * SQRT( dx**2 + dy**2 ) ) |
---|
746 | ENDDO |
---|
747 | ! |
---|
748 | !-- Above southright corner (xyz distance) |
---|
749 | DO k = nzb_si + 1, nzb_si + vi |
---|
750 | l_wall(k,j-1,i+1) = MIN( l_wall(k,j-1,i+1), & |
---|
751 | SQRT( 0.25 * (dx**2 + dy**2) + & |
---|
752 | ( zu(k) - zw(nzb_si) )**2 ) ) |
---|
753 | ENDDO |
---|
754 | ENDIF |
---|
755 | |
---|
756 | ENDIF |
---|
757 | |
---|
758 | IF ( wall_l(j,i) > 0 ) THEN |
---|
759 | ! |
---|
760 | !-- Left wall (x distance) |
---|
761 | DO k = wall_l(j,i), nzb_si |
---|
762 | l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), 0.5 * dx ) |
---|
763 | ENDDO |
---|
764 | ! |
---|
765 | !-- Above left wall (xz distance) |
---|
766 | DO k = nzb_si + 1, nzb_si + vi |
---|
767 | l_wall(k,j,i-1) = MIN( l_wall(k,j,i-1), & |
---|
768 | SQRT( 0.25 * dx**2 + & |
---|
769 | ( zu(k) - zw(nzb_si) )**2 ) ) |
---|
770 | ENDDO |
---|
771 | ENDIF |
---|
772 | |
---|
773 | IF ( wall_r(j,i) > 0 ) THEN |
---|
774 | ! |
---|
775 | !-- Right wall (x distance) |
---|
776 | DO k = wall_r(j,i), nzb_si |
---|
777 | l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), 0.5 * dx ) |
---|
778 | ENDDO |
---|
779 | ! |
---|
780 | !-- Above right wall (xz distance) |
---|
781 | DO k = nzb_si + 1, nzb_si + vi |
---|
782 | l_wall(k,j,i+1) = MIN( l_wall(k,j,i+1), & |
---|
783 | SQRT( 0.25 * dx**2 + & |
---|
784 | ( zu(k) - zw(nzb_si) )**2 ) ) |
---|
785 | ENDDO |
---|
786 | |
---|
787 | ENDIF |
---|
788 | |
---|
789 | ENDDO |
---|
790 | ENDDO |
---|
791 | |
---|
792 | ENDIF |
---|
793 | |
---|
794 | ! |
---|
795 | !-- Multiplication with wall_adjustment_factor |
---|
796 | l_wall = wall_adjustment_factor * l_wall |
---|
797 | |
---|
798 | ! |
---|
799 | !-- Need to set lateral boundary conditions for l_wall |
---|
800 | CALL exchange_horiz( l_wall, 0, 0 ) |
---|
801 | |
---|
802 | DEALLOCATE( corner_nl, corner_nr, corner_sl, corner_sr, nzb_local, & |
---|
803 | nzb_tmp, vertical_influence, wall_l, wall_n, wall_r, wall_s ) |
---|
804 | |
---|
805 | |
---|
806 | END SUBROUTINE init_grid |
---|