1 | SUBROUTINE spline_x( vad_in_out, ad_v, var_char ) |
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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: spline_x.f90 4 2007-02-13 11:33:16Z raasch $ |
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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 1.8 2004/04/30 12:54:20 raasch |
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14 | ! Names of transpose indices changed, enlarged transposition arrays introduced |
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15 | ! |
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16 | ! Revision 1.1 1999/02/05 09:15:59 raasch |
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17 | ! Initial revision |
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18 | ! |
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19 | ! |
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20 | ! Description: |
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21 | ! ------------ |
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22 | ! Upstream-spline advection along x |
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23 | ! |
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24 | ! Input/output parameters: |
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25 | ! ad_v = advecting wind speed component |
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26 | ! vad_in_out = quantity to be advected, excluding ghost- or cyclic boundaries |
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27 | ! result is given to the calling routine in this array |
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28 | ! var_char = string which defines the quantity to be advected |
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29 | ! |
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30 | ! Internal arrays: |
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31 | ! r = 2D-working array (right hand side of linear equation, buffer for |
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32 | ! Long filter) |
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33 | ! tf = tendency field (2D), used for long filter |
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34 | ! vad = quantity to be advected (2D), including ghost- or cyclic |
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35 | ! boundarys along the direction of advection |
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36 | ! wrk_long = working array (long coefficients) |
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37 | ! wrk_spline = working array (spline coefficients) |
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38 | !------------------------------------------------------------------------------! |
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39 | |
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40 | USE advection |
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41 | USE grid_variables |
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42 | USE indices |
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43 | USE statistics |
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44 | USE control_parameters |
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45 | USE transpose_indices |
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46 | |
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47 | IMPLICIT NONE |
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48 | |
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49 | CHARACTER (LEN=*) :: var_char |
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50 | |
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51 | INTEGER :: component, i, j, k, sr |
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52 | REAL :: overshoot_limit, sm_faktor, t1, t2, t3, ups_limit |
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53 | REAL, DIMENSION(:,:), ALLOCATABLE :: r, tf, vad, wrk_spline |
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54 | REAL, DIMENSION(:,:,:), ALLOCATABLE :: wrk_long |
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55 | |
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56 | #if defined( __parallel ) |
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57 | REAL :: ad_v(0:nxa,nys_x:nyn_xa,nzb_x:nzt_xa), & |
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58 | vad_in_out(0:nxa,nys_x:nyn_xa,nzb_x:nzt_xa) |
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59 | #else |
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60 | REAL :: ad_v(nzb+1:nzt,nys:nyn,nxl:nxr), & |
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61 | vad_in_out(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
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62 | #endif |
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63 | |
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64 | ! |
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65 | !-- Set criteria for switching between upstream- and upstream-spline-method |
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66 | IF ( var_char == 'u' ) THEN |
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67 | overshoot_limit = overshoot_limit_u |
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68 | ups_limit = ups_limit_u |
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69 | component = 1 |
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70 | ELSEIF ( var_char == 'v' ) THEN |
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71 | overshoot_limit = overshoot_limit_v |
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72 | ups_limit = ups_limit_v |
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73 | component = 2 |
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74 | ELSEIF ( var_char == 'w' ) THEN |
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75 | overshoot_limit = overshoot_limit_w |
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76 | ups_limit = ups_limit_w |
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77 | component = 3 |
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78 | ELSEIF ( var_char == 'pt' ) THEN |
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79 | overshoot_limit = overshoot_limit_pt |
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80 | ups_limit = ups_limit_pt |
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81 | component = 4 |
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82 | ELSEIF ( var_char == 'e' ) THEN |
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83 | overshoot_limit = overshoot_limit_e |
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84 | ups_limit = ups_limit_e |
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85 | component = 5 |
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86 | ENDIF |
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87 | |
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88 | ! |
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89 | !-- Initialize calculation of relative upstream fraction |
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90 | sums_up_fraction_l(component,1,:) = 0.0 |
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91 | |
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92 | #if defined( __parallel ) |
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93 | |
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94 | ! |
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95 | !-- Allocate working arrays |
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96 | ALLOCATE( r(-1:nx+1,nys_x:nyn_x), vad(-1:nx+1,nys_x:nyn_x), & |
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97 | wrk_spline(0:nx,nys_x:nyn_x) ) |
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98 | IF ( long_filter_factor /= 0.0 ) THEN |
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99 | ALLOCATE( tf(0:nx,nys_x:nyn_x), wrk_long(0:nx,nys_x:nyn_x,1:3) ) |
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100 | ENDIF |
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101 | |
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102 | ! |
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103 | !-- Loop over all gridpoints along z |
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104 | DO k = nzb_x, nzt_x |
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105 | |
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106 | ! |
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107 | !-- Store array to be advected on work array and add cyclic boundary along x |
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108 | vad(0:nx,nys_x:nyn_x) = vad_in_out(0:nx,nys_x:nyn_x,k) |
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109 | vad(-1,:) = vad(nx,:) |
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110 | vad(nx+1,:) = vad(0,:) |
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111 | |
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112 | ! |
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113 | !-- Calculate right hand side |
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114 | DO j = nys_x, nyn_x |
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115 | DO i = 0, nx |
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116 | r(i,j) = 3.0 * ( & |
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117 | spl_tri_x(2,i) * ( vad(i,j) - vad(i-1,j) ) * ddx + & |
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118 | spl_tri_x(3,i) * ( vad(i+1,j) - vad(i,j) ) * ddx & |
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119 | ) |
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120 | ENDDO |
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121 | ENDDO |
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122 | |
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123 | ! |
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124 | !-- Forward substitution |
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125 | DO j = nys_x, nyn_x |
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126 | wrk_spline(0,j) = r(0,j) |
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127 | DO i = 1, nx |
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128 | wrk_spline(i,j) = r(i,j) - spl_tri_x(5,i) * wrk_spline(i-1,j) |
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129 | ENDDO |
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130 | ENDDO |
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131 | |
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132 | ! |
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133 | !-- Backward substitution (Sherman-Morrison-formula) |
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134 | DO j = nys_x, nyn_x |
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135 | r(nx,j) = wrk_spline(nx,j) / spl_tri_x(4,nx) |
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136 | DO i = nx-1, 0, -1 |
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137 | r(i,j) = ( wrk_spline(i,j) - spl_tri_x(3,i) * r(i+1,j) ) / & |
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138 | spl_tri_x(4,i) |
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139 | ENDDO |
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140 | sm_faktor = ( r(0,j) + 0.5 * r(nx,j) / spl_gamma_x ) / & |
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141 | ( 1.0 + spl_z_x(0) + 0.5 * spl_z_x(nx) / spl_gamma_x ) |
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142 | DO i = 0, nx |
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143 | r(i,j) = r(i,j) - sm_faktor * spl_z_x(i) |
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144 | ENDDO |
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145 | ENDDO |
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146 | |
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147 | ! |
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148 | !-- Add cyclic boundary to right hand side |
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149 | r(-1,:) = r(nx,:) |
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150 | r(nx+1,:) = r(0,:) |
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151 | |
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152 | ! |
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153 | !-- Calculate advection along x |
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154 | DO j = nys_x, nyn_x |
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155 | DO i = 0, nx |
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156 | |
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157 | IF ( ad_v(i,j,k) == 0.0 ) THEN |
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158 | |
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159 | vad_in_out(i,j,k) = vad(i,j) |
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160 | |
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161 | ELSEIF ( ad_v(i,j,k) > 0.0 ) THEN |
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162 | |
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163 | IF ( ABS( vad(i,j) - vad(i-1,j) ) <= ups_limit ) THEN |
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164 | vad_in_out(i,j,k) = vad(i,j) - dt_3d * ad_v(i,j,k) * & |
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165 | ( vad(i,j) - vad(i-1,j) ) * ddx |
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166 | ! |
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167 | !-- Calculate upstream fraction in % (s. flow_statistics) |
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168 | DO sr = 0, statistic_regions |
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169 | sums_up_fraction_l(component,1,sr) = & |
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170 | sums_up_fraction_l(component,1,sr) + 1.0 |
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171 | ENDDO |
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172 | ELSE |
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173 | t1 = ad_v(i,j,k) * dt_3d * ddx |
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174 | t2 = 3.0 * ( vad(i-1,j) - vad(i,j) ) + & |
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175 | ( 2.0 * r(i,j) + r(i-1,j) ) * dx |
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176 | t3 = 2.0 * ( vad(i-1,j) - vad(i,j) ) + & |
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177 | ( r(i,j) + r(i-1,j) ) * dx |
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178 | vad_in_out(i,j,k) = vad(i,j) - r(i,j) * t1 * dx + & |
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179 | t2 * t1**2 - t3 * t1**3 |
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180 | IF ( vad(i-1,j) == vad(i,j) ) THEN |
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181 | vad_in_out(i,j,k) = vad(i,j) |
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182 | ENDIF |
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183 | ENDIF |
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184 | |
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185 | ELSE |
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186 | |
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187 | IF ( ABS( vad(i,j) - vad(i+1,j) ) <= ups_limit ) THEN |
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188 | vad_in_out(i,j,k) = vad(i,j) - dt_3d * ad_v(i,j,k) * & |
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189 | ( vad(i+1,j) - vad(i,j) ) * ddx |
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190 | ! |
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191 | !-- Calculate upstream fraction in % (s. flow_statistics) |
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192 | DO sr = 0, statistic_regions |
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193 | sums_up_fraction_l(component,1,sr) = & |
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194 | sums_up_fraction_l(component,1,sr) + 1.0 |
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195 | ENDDO |
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196 | ELSE |
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197 | t1 = -ad_v(i,j,k) * dt_3d * ddx |
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198 | t2 = 3.0 * ( vad(i,j) - vad(i+1,j) ) + & |
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199 | ( 2.0 * r(i,j) + r(i+1,j) ) * dx |
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200 | t3 = 2.0 * ( vad(i,j) - vad(i+1,j) ) + & |
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201 | ( r(i,j) + r(i+1,j) ) * dx |
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202 | vad_in_out(i,j,k) = vad(i,j) + r(i,j) * t1 * dx - & |
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203 | t2 * t1**2 + t3 * t1**3 |
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204 | IF ( vad(i+1,j) == vad(i,j) ) THEN |
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205 | vad_in_out(i,j,k) = vad(i,j) |
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206 | ENDIF |
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207 | ENDIF |
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208 | |
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209 | ENDIF |
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210 | ENDDO |
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211 | ENDDO |
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212 | |
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213 | ! |
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214 | !-- Limit values in order to prevent overshooting |
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215 | IF ( cut_spline_overshoot ) THEN |
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216 | |
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217 | DO j = nys_x, nyn_x |
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218 | DO i = 0, nx |
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219 | IF ( ad_v(i,j,k) > 0.0 ) THEN |
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220 | IF ( vad(i,j) > vad(i-1,j) ) THEN |
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221 | vad_in_out(i,j,k) = MIN( vad_in_out(i,j,k), & |
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222 | vad(i,j) + overshoot_limit ) |
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223 | vad_in_out(i,j,k) = MAX( vad_in_out(i,j,k), & |
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224 | vad(i-1,j) - overshoot_limit ) |
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225 | ELSE |
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226 | vad_in_out(i,j,k) = MAX( vad_in_out(i,j,k), & |
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227 | vad(i,j) - overshoot_limit ) |
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228 | vad_in_out(i,j,k) = MIN( vad_in_out(i,j,k), & |
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229 | vad(i-1,j) + overshoot_limit ) |
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230 | ENDIF |
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231 | ELSE |
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232 | IF ( vad(i,j) > vad(i+1,j) ) THEN |
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233 | vad_in_out(i,j,k) = MIN( vad_in_out(i,j,k), & |
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234 | vad(i,j) + overshoot_limit ) |
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235 | vad_in_out(i,j,k) = MAX( vad_in_out(i,j,k), & |
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236 | vad(i+1,j) - overshoot_limit ) |
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237 | ELSE |
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238 | vad_in_out(i,j,k) = MAX( vad_in_out(i,j,k), & |
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239 | vad(i,j) - overshoot_limit ) |
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240 | vad_in_out(i,j,k) = MIN( vad_in_out(i,j,k), & |
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241 | vad(i+1,j) + overshoot_limit ) |
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242 | ENDIF |
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243 | ENDIF |
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244 | ENDDO |
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245 | ENDDO |
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246 | |
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247 | ENDIF |
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248 | |
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249 | ! |
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250 | !-- Long-filter (acting on tendency only) |
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251 | IF ( long_filter_factor /= 0.0 ) THEN |
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252 | |
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253 | ! |
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254 | !-- Compute tendency |
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255 | DO j = nys_x, nyn_x |
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256 | DO i = 0, nx |
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257 | tf(i,j) = vad_in_out(i,j,k) - vad(i,j) |
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258 | ENDDO |
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259 | ENDDO |
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260 | |
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261 | ! |
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262 | !-- Apply the filter. |
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263 | DO j = nys_x, nyn_x |
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264 | wrk_long(0,j,1) = 2.0 * ( 1.0 + long_filter_factor ) |
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265 | wrk_long(0,j,2) = ( 1.0 - long_filter_factor ) / wrk_long(0,j,1) |
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266 | wrk_long(0,j,3) = ( long_filter_factor * tf(nx,j) + & |
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267 | 2.0 * tf(0,j) + tf(1,j) & |
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268 | ) / wrk_long(0,j,1) |
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269 | DO i = 1, nx-1 |
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270 | wrk_long(i,j,1) = 2.0 * ( 1.0 + long_filter_factor ) - & |
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271 | ( 1.0 - long_filter_factor ) * wrk_long(i-1,j,2) |
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272 | wrk_long(i,j,2) = ( 1.0 - long_filter_factor ) / wrk_long(i,j,1) |
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273 | wrk_long(i,j,3) = ( tf(i-1,j) + 2.0 * tf(i,j) + & |
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274 | tf(i+1,j) - ( 1.0 - long_filter_factor ) * & |
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275 | wrk_long(i-1,j,3) ) / wrk_long(i,j,1) |
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276 | ENDDO |
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277 | wrk_long(nx,j,1) = 2.0 * ( 1.0 + long_filter_factor ) - & |
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278 | ( 1.0 - long_filter_factor ) * wrk_long(nx-1,j,2) |
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279 | wrk_long(nx,j,2) = ( 1.0 - long_filter_factor ) / wrk_long(nx,j,1) |
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280 | wrk_long(nx,j,3) = ( tf(nx-1,j) + 2.0 * tf(nx,j) + & |
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281 | long_filter_factor * tf(0,j) - & |
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282 | ( 1.0 - long_filter_factor ) * & |
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283 | wrk_long(nx-1,j,3) & |
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284 | ) / wrk_long(nx,j,1) |
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285 | r(nx,j) = wrk_long(nx,j,3) |
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286 | ENDDO |
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287 | |
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288 | DO i = nx-1, 0, -1 |
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289 | DO j = nys_x, nyn_x |
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290 | r(i,j) = wrk_long(i,j,3) - wrk_long(i,j,2) * r(i+1,j) |
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291 | ENDDO |
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292 | ENDDO |
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293 | |
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294 | DO j = nys_x, nyn_x |
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295 | DO i = 0, nx |
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296 | vad_in_out(i,j,k) = vad(i,j) + r(i,j) |
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297 | ENDDO |
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298 | ENDDO |
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299 | |
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300 | ENDIF ! Long filter |
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301 | |
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302 | ENDDO |
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303 | |
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304 | #else |
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305 | |
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306 | ! |
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307 | !-- Allocate working arrays |
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308 | ALLOCATE( r(nzb+1:nzt,nxl-1:nxr+1), vad(nzb:nzt+1,nxl-1:nxr+1), & |
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309 | wrk_spline(nzb+1:nzt,nxl-1:nxr+1) ) |
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310 | IF ( long_filter_factor /= 0.0 ) THEN |
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311 | ALLOCATE( tf(nzb+1:nzt,nxl-1:nxr+1), wrk_long(nzb+1:nzt,0:nx,1:3) ) |
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312 | ENDIF |
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313 | |
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314 | ! |
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315 | !-- Loop over all gridpoints along y |
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316 | DO j = nys, nyn |
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317 | |
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318 | ! |
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319 | !-- Store array to be advected on work array and add cyclic boundary along x |
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320 | vad(:,:) = vad_in_out(:,j,:) |
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321 | vad(:,-1) = vad(:,nx) |
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322 | vad(:,nx+1) = vad(:,0) |
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323 | |
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324 | ! |
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325 | !-- Calculate right hand side |
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326 | DO i = 0, nx |
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327 | DO k = nzb+1, nzt |
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328 | r(k,i) = 3.0 * ( & |
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329 | spl_tri_x(2,i) * ( vad(k,i) - vad(k,i-1) ) * ddx + & |
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330 | spl_tri_x(3,i) * ( vad(k,i+1) - vad(k,i) ) * ddx & |
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331 | ) |
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332 | ENDDO |
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333 | ENDDO |
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334 | |
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335 | ! |
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336 | !-- Forward substitution |
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337 | DO k = nzb+1, nzt |
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338 | wrk_spline(k,0) = r(k,0) |
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339 | ENDDO |
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340 | |
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341 | DO i = 1, nx |
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342 | DO k = nzb+1, nzt |
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343 | wrk_spline(k,i) = r(k,i) - spl_tri_x(5,i) * wrk_spline(k,i-1) |
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344 | ENDDO |
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345 | ENDDO |
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346 | |
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347 | ! |
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348 | !-- Backward substitution (Sherman-Morrison-formula) |
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349 | DO k = nzb+1, nzt |
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350 | r(k,nx) = wrk_spline(k,nx) / spl_tri_x(4,nx) |
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351 | ENDDO |
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352 | |
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353 | DO k = nzb+1, nzt |
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354 | DO i = nx-1, 0, -1 |
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355 | r(k,i) = ( wrk_spline(k,i) - spl_tri_x(3,i) * r(k,i+1) ) / & |
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356 | spl_tri_x(4,i) |
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357 | ENDDO |
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358 | sm_faktor = ( r(k,0) + 0.5 * r(k,nx) / spl_gamma_x ) / & |
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359 | ( 1.0 + spl_z_x(0) + 0.5 * spl_z_x(nx) / spl_gamma_x ) |
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360 | DO i = 0, nx |
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361 | r(k,i) = r(k,i) - sm_faktor * spl_z_x(i) |
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362 | ENDDO |
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363 | ENDDO |
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364 | |
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365 | ! |
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366 | !-- Add cyclic boundary to the right hand side |
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367 | r(:,-1) = r(:,nx) |
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368 | r(:,nx+1) = r(:,0) |
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369 | |
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370 | ! |
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371 | !-- Calculate advection along x |
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372 | DO i = 0, nx |
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373 | DO k = nzb+1, nzt |
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374 | |
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375 | IF (ad_v(k,j,i) == 0.0) THEN |
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376 | |
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377 | vad_in_out(k,j,i) = vad(k,i) |
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378 | |
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379 | ELSEIF ( ad_v(k,j,i) > 0.0) THEN |
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380 | |
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381 | IF ( ABS( vad(k,i) - vad(k,i-1) ) <= ups_limit ) THEN |
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382 | vad_in_out(k,j,i) = vad(k,i) - dt_3d * ad_v(k,j,i) * & |
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383 | ( vad(k,i) - vad(k,i-1) ) * ddx |
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384 | ! |
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385 | !-- Calculate upstream fraction in % (s. flow_statistics) |
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386 | DO sr = 0, statistic_regions |
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387 | sums_up_fraction_l(component,1,sr) = & |
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388 | sums_up_fraction_l(component,1,sr) + 1.0 |
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389 | ENDDO |
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390 | ELSE |
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391 | t1 = ad_v(k,j,i) * dt_3d * ddx |
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392 | t2 = 3.0 * ( vad(k,i-1) - vad(k,i) ) + & |
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393 | ( 2.0 * r(k,i) + r(k,i-1) ) * dx |
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394 | t3 = 2.0 * ( vad(k,i-1) - vad(k,i) ) + & |
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395 | ( r(k,i) + r(k,i-1) ) * dx |
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396 | vad_in_out(k,j,i) = vad(k,i) - r(k,i) * t1 * dx + & |
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397 | t2 * t1**2 - t3 * t1**3 |
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398 | IF ( vad(k,i-1) == vad(k,i) ) THEN |
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399 | vad_in_out(k,j,i) = vad(k,i) |
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400 | ENDIF |
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401 | ENDIF |
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402 | |
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403 | ELSE |
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404 | |
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405 | IF ( ABS( vad(k,i) - vad(k,i+1) ) <= ups_limit ) THEN |
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406 | vad_in_out(k,j,i) = vad(k,i) - dt_3d * ad_v(k,j,i) * & |
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407 | ( vad(k,i+1) - vad(k,i) ) * ddx |
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408 | ! |
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409 | !-- Calculate upstream fraction in % (s. flow_statistics) |
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410 | DO sr = 0, statistic_regions |
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411 | sums_up_fraction_l(component,1,sr) = & |
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412 | sums_up_fraction_l(component,1,sr) + 1.0 |
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413 | ENDDO |
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414 | ELSE |
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415 | t1 = -ad_v(k,j,i) * dt_3d * ddx |
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416 | t2 = 3.0 * ( vad(k,i) - vad(k,i+1) ) + & |
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417 | ( 2.0 * r(k,i) + r(k,i+1)) * dx |
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418 | t3 = 2.0 * ( vad(k,i) - vad(k,i+1) ) + & |
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419 | ( r(k,i) + r(k,i+1) ) * dx |
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420 | vad_in_out(k,j,i) = vad(k,i) + r(k,i) * t1 * dx - & |
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421 | t2 * t1**2 + t3 * t1**3 |
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422 | IF ( vad(k,i+1) == vad(k,i) ) THEN |
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423 | vad_in_out(k,j,i) = vad(k,i) |
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424 | ENDIF |
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425 | ENDIF |
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426 | |
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427 | ENDIF |
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428 | ENDDO |
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429 | ENDDO |
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430 | |
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431 | ! |
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432 | !-- Limit values in order to prevent overshooting |
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433 | IF ( cut_spline_overshoot ) THEN |
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434 | |
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435 | DO i = 0, nx |
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436 | DO k = nzb+1, nzt |
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437 | IF ( ad_v(k,j,i) > 0.0 ) THEN |
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438 | IF ( vad(k,i) > vad(k,i-1) ) THEN |
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439 | vad_in_out(k,j,i) = MIN( vad_in_out(k,j,i), & |
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440 | vad(k,i) + overshoot_limit ) |
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441 | vad_in_out(k,j,i) = MAX( vad_in_out(k,j,i), & |
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442 | vad(k,i-1) - overshoot_limit ) |
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443 | ELSE |
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444 | vad_in_out(k,j,i) = MAX( vad_in_out(k,j,i), & |
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445 | vad(k,i) - overshoot_limit ) |
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446 | vad_in_out(k,j,i) = MIN( vad_in_out(k,j,i), & |
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447 | vad(k,i-1) + overshoot_limit ) |
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448 | ENDIF |
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449 | ELSE |
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450 | IF ( vad(k,i) > vad(k,i+1) ) THEN |
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451 | vad_in_out(k,j,i) = MIN( vad_in_out(k,j,i), & |
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452 | vad(k,i) + overshoot_limit ) |
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453 | vad_in_out(k,j,i) = MAX( vad_in_out(k,j,i), & |
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454 | vad(k,i+1) - overshoot_limit ) |
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455 | ELSE |
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456 | vad_in_out(k,j,i) = MAX( vad_in_out(k,j,i), & |
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457 | vad(k,i) - overshoot_limit ) |
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458 | vad_in_out(k,j,i) = MIN( vad_in_out(k,j,i), & |
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459 | vad(k,i+1) + overshoot_limit ) |
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460 | ENDIF |
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461 | ENDIF |
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462 | ENDDO |
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463 | ENDDO |
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464 | |
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465 | ENDIF |
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466 | |
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467 | ! |
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468 | !-- Long filter (acting on tendency only) |
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469 | IF ( long_filter_factor /= 0.0 ) THEN |
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470 | |
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471 | ! |
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472 | !-- Compute tendency |
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473 | DO i = nxl, nxr |
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474 | DO k = nzb+1, nzt |
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475 | tf(k,i) = vad_in_out(k,j,i) - vad(k,i) |
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476 | ENDDO |
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477 | ENDDO |
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478 | |
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479 | ! |
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480 | !-- Apply the filter |
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481 | wrk_long(:,0,1) = 2.0 * ( 1.0 + long_filter_factor ) |
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482 | wrk_long(:,0,2) = ( 1.0 - long_filter_factor ) / wrk_long(:,0,1) |
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483 | wrk_long(:,0,3) = ( long_filter_factor * tf(:,nx) + & |
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484 | 2.0 * tf(:,0) + tf(:,1) ) / wrk_long(:,0,1) |
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485 | |
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486 | DO i = 1, nx-1 |
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487 | DO k = nzb+1, nzt |
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488 | wrk_long(k,i,1) = 2.0 * ( 1.0 + long_filter_factor ) - & |
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489 | ( 1.0 - long_filter_factor ) * & |
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490 | wrk_long(k,i-1,2) |
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491 | wrk_long(k,i,2) = ( 1.0 - long_filter_factor ) / wrk_long(k,i,1) |
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492 | wrk_long(k,i,3) = ( tf(k,i-1) + 2.0 * tf(k,i) + & |
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493 | tf(k,i+1) - ( 1.0 - long_filter_factor ) * & |
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494 | wrk_long(k,i-1,3) ) / wrk_long(k,i,1) |
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495 | ENDDO |
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496 | wrk_long(:,nx,1) = 2.0 * ( 1.0 + long_filter_factor ) - & |
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497 | ( 1.0 - long_filter_factor ) * & |
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498 | wrk_long(:,nx-1,2) |
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499 | wrk_long(:,nx,2) = ( 1.0 - long_filter_factor ) / wrk_long(:,nx,1) |
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500 | wrk_long(:,nx,3) = ( tf(:,nx-1) + 2.0 * tf(:,nx) + & |
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501 | long_filter_factor * tf(:,0) - & |
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502 | ( 1.0 - long_filter_factor ) * & |
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503 | wrk_long(:,nx-1,3) ) / wrk_long(:,nx,1) |
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504 | r(:,nx) = wrk_long(:,nx,3) |
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505 | ENDDO |
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506 | DO i = nx-1, 0, -1 |
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507 | DO k = nzb+1, nzt |
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508 | r(k,i) = wrk_long(k,i,3) - wrk_long(k,i,2) * r(k,i+1) |
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509 | ENDDO |
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510 | ENDDO |
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511 | DO i = 0, nx |
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512 | DO k = nzb+1, nzt |
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513 | vad_in_out(k,j,i) = vad(k,i) + r(k,i) |
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514 | ENDDO |
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515 | ENDDO |
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516 | |
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517 | ENDIF ! Long filter |
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518 | |
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519 | ENDDO |
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520 | #endif |
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521 | |
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522 | IF ( long_filter_factor /= 0.0 ) DEALLOCATE( tf, wrk_long ) |
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523 | DEALLOCATE( r, vad, wrk_spline ) |
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524 | |
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525 | END SUBROUTINE spline_x |
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