1 | SUBROUTINE advec_u_ups |
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2 | |
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3 | !------------------------------------------------------------------------------! |
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4 | ! Current 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: advec_u_ups.f90 484 2010-02-05 07:36:54Z raasch $ |
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11 | ! |
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12 | ! 164 2008-05-15 08:46:15Z raasch |
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13 | ! Arguments removed from transpose routines |
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14 | ! |
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15 | ! February 2007 |
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16 | ! RCS Log replace by Id keyword, revision history cleaned up |
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17 | ! |
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18 | ! Revision 1.6 2004/04/30 08:03:19 raasch |
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19 | ! Enlarged transposition arrays introduced |
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20 | ! |
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21 | ! Revision 1.1 1999/02/05 08:49:08 raasch |
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22 | ! Initial revision |
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23 | ! |
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24 | ! |
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25 | ! Description: |
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26 | ! ------------ |
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27 | ! Upstream-Spline advection of the u velocity-component. The advection process |
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28 | ! is divided into three subsequent steps, one for each of the dimensions. The |
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29 | ! results is stored as a tendency in array tend. The computation of the cubic |
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30 | ! splines and the possible execution of the Long-filter require that all grid |
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31 | ! points of the relevant dimension are available. For model runs on more than |
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32 | ! one PE therefore both the advected and the advecting quantities are |
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33 | ! transposed accordingly. |
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34 | ! |
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35 | ! Internally used arrays: |
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36 | ! v_ad = scalar quantity to be advected, initialised = u at the beginning, |
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37 | ! also being used as temporary storage after each time step |
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38 | ! d = advecting component (u, v, or w) |
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39 | !------------------------------------------------------------------------------! |
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40 | |
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41 | USE advection |
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42 | USE arrays_3d |
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43 | USE cpulog |
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44 | USE grid_variables |
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45 | USE indices |
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46 | USE interfaces |
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47 | USE control_parameters |
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48 | |
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49 | IMPLICIT NONE |
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50 | |
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51 | INTEGER :: i, j, k |
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52 | REAL, DIMENSION(:,:,:), ALLOCATABLE :: v_ad |
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53 | |
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54 | |
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55 | CALL cpu_log( log_point_s(17), 'advec_u_ups', 'start' ) |
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56 | |
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57 | #if defined( __parallel ) |
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58 | |
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59 | ! |
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60 | !-- Advection of u in x-direction: |
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61 | !-- Store u in temporary array v_ad (component to be advected, boundaries |
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62 | !-- are not used because they disturb the transposition) |
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63 | ALLOCATE( v_ad(nzb+1:nzta,nys:nyna,nxl:nxra) ) |
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64 | v_ad = 0.0 |
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65 | v_ad(nzb+1:nzt,nys:nyn,nxl:nxr) = u(nzb+1:nzt,nys:nyn,nxl:nxr) |
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66 | |
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67 | ! |
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68 | !-- Enlarge the size of tend, used as a working array for the transpositions |
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69 | IF ( nxra > nxr .OR. nyna > nyn .OR. nza > nz ) THEN |
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70 | DEALLOCATE( tend ) |
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71 | ALLOCATE( tend(1:nza,nys:nyna,nxl:nxra) ) |
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72 | ENDIF |
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73 | |
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74 | ! |
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75 | !-- Transpose the component to be advected: z --> x |
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76 | CALL transpose_zx( v_ad, tend, v_ad ) |
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77 | |
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78 | ! |
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79 | !-- Advecting component (d) = component to be advected (v_ad) (variable d is |
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80 | !-- used for storage, because it is the only one having suitable dimensions). |
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81 | !-- NOTE: here x is the first dimension and lies completely on the PE. |
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82 | d = v_ad - u_gtrans |
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83 | |
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84 | #else |
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85 | |
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86 | ! |
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87 | !-- Advection of u in x-direction: |
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88 | !-- Store u in temporary array v_ad (component to be advected) |
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89 | ALLOCATE( v_ad(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) ) |
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90 | v_ad(:,:,:) = u(:,:,:) |
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91 | |
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92 | ! |
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93 | !-- Advecting component (d) = component to be advected (u) (variable d is used |
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94 | !-- for storage, because it is the only one having suitable dimensions. This is |
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95 | !-- done for for reasons of compatibility with the parallel part.) |
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96 | d(:,:,:) = u(nzb+1:nzt,nys:nyn,nxl:nxr) - u_gtrans |
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97 | |
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98 | #endif |
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99 | |
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100 | ! |
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101 | !-- Upstream-Spline advection of u in x-direction. Array tend comes out |
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102 | !-- as v_ad before the advection step including cyclic boundaries. |
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103 | !-- It is needed for the long filter. |
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104 | CALL spline_x( v_ad, d, 'u' ) |
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105 | |
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106 | ! |
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107 | !-- Advection of u in y-direction: |
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108 | !-- advecting component (v) must be averaged out on the u grid |
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109 | DO i = nxl, nxr |
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110 | DO j = nys, nyn |
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111 | DO k = nzb+1, nzt |
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112 | d(k,j,i) = 0.25 * ( v(k,j,i-1) + v(k,j+1,i-1) + & |
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113 | v(k,j,i) + v(k,j+1,i) ) - v_gtrans |
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114 | ENDDO |
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115 | ENDDO |
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116 | ENDDO |
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117 | |
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118 | #if defined( __parallel ) |
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119 | |
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120 | ! |
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121 | !-- Transpose the advecting component: z --> y |
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122 | CALL transpose_zx( d, tend, d ) |
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123 | CALL transpose_xy( d, tend, d ) |
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124 | |
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125 | ! |
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126 | !-- Transpose the component to be advected: x --> y |
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127 | CALL transpose_xy( v_ad, tend, v_ad ) |
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128 | |
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129 | #endif |
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130 | |
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131 | ! |
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132 | !-- Upstream-Spline advection of u in y-direction |
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133 | CALL spline_y( v_ad, d, 'u' ) |
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134 | |
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135 | ! |
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136 | !-- Advection of u in z-direction: |
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137 | !-- the advecting component (w) must be averaged out on the u grid |
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138 | !-- (weighted for non-equidistant grid) |
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139 | DO i = nxl, nxr |
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140 | DO j = nys, nyn |
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141 | DO k = nzb+1, nzt |
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142 | d(k,j,i) = ( 0.5 * ( w(k,j,i) + w(k,j,i-1) ) * & |
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143 | ( zu(k) - zw(k-1) ) & |
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144 | + 0.5 * ( w(k-1,j,i) + w(k-1,j,i-1) ) * & |
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145 | ( zw(k) - zu(k) ) & |
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146 | ) * ddzw(k) |
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147 | ENDDO |
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148 | ENDDO |
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149 | ENDDO |
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150 | |
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151 | #if defined( __parallel ) |
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152 | |
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153 | ! |
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154 | !-- Transpose the component to be advected: y --> z (= y --> x + x --> z) |
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155 | CALL transpose_yx( v_ad, tend, v_ad ) |
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156 | CALL transpose_xz( v_ad, tend, v_ad ) |
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157 | |
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158 | ! |
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159 | !-- Resize tend to its normal size |
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160 | IF ( nxra > nxr .OR. nyna > nyn .OR. nza > nz ) THEN |
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161 | DEALLOCATE( tend ) |
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162 | ALLOCATE( tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) ) |
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163 | ENDIF |
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164 | |
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165 | #endif |
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166 | |
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167 | ! |
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168 | !-- Upstream-Spline advection of u in z-direction |
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169 | CALL spline_z( v_ad, d, dzu, spl_tri_zu, 'u' ) |
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170 | |
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171 | ! |
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172 | !-- Compute the tendency term |
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173 | DO i = nxl, nxr |
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174 | DO j = nys, nyn |
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175 | DO k = nzb+1, nzt |
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176 | tend(k,j,i) = ( v_ad(k,j,i) - u(k,j,i) ) / dt_3d |
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177 | ENDDO |
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178 | ENDDO |
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179 | ENDDO |
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180 | |
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181 | DEALLOCATE( v_ad ) |
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182 | |
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183 | CALL cpu_log( log_point_s(17), 'advec_u_ups', 'stop' ) |
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184 | |
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185 | END SUBROUTINE advec_u_ups |
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