1 | SUBROUTINE flow_statistics |
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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 1.41 2006/08/04 14:37:50 raasch |
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14 | ! Error removed in non-parallel part (sums_l) |
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15 | ! |
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16 | ! Revision 1.1 1997/08/11 06:15:17 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 | ! Compute average profiles and further average flow quantities for the different |
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23 | ! user-defined (sub-)regions. The region indexed 0 is the total model domain. |
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24 | ! |
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25 | ! NOTE: For simplicity, nzb_s_outer and nzb_diff_s_outer are being used as a |
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26 | ! ---- lower vertical index for k-loops for all variables so that regardless |
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27 | ! of the variable and its respective staggered grid always the same number of |
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28 | ! grid points is used for 2D averages. The disadvantage: depending on the |
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29 | ! variable, up to one grid layer adjacent to the (vertical walls of the) |
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30 | ! topography is missed out by this simplification. |
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31 | !------------------------------------------------------------------------------! |
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32 | |
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33 | USE arrays_3d |
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34 | USE cloud_parameters |
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35 | USE cpulog |
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36 | USE grid_variables |
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37 | USE indices |
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38 | USE interfaces |
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39 | USE pegrid |
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40 | USE statistics |
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41 | USE control_parameters |
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42 | |
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43 | IMPLICIT NONE |
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44 | |
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45 | INTEGER :: i, j, k, omp_get_thread_num, sr, tn |
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46 | LOGICAL :: first |
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47 | REAL :: height, pts, sums_l_eper, sums_l_etot, ust, ust2, u2, vst, & |
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48 | vst2, v2, w2, z_i(2) |
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49 | REAL :: sums_ll(nzb:nzt+1,2) |
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50 | |
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51 | |
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52 | CALL cpu_log( log_point(10), 'flow_statistics', 'start' ) |
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53 | |
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54 | ! |
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55 | !-- To be on the safe side, check whether flow_statistics has already been |
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56 | !-- called once after the current time step |
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57 | IF ( flow_statistics_called ) THEN |
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58 | IF ( myid == 0 ) PRINT*, '+++ WARNING: flow_statistics is called two', & |
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59 | ' times within one timestep' |
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60 | CALL local_stop |
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61 | ENDIF |
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62 | |
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63 | ! |
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64 | !-- Compute statistics for each (sub-)region |
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65 | DO sr = 0, statistic_regions |
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66 | |
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67 | ! |
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68 | !-- Initialize (local) summation array |
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69 | sums_l = 0.0 |
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70 | |
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71 | ! |
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72 | !-- Store sums that have been computed in other subroutines in summation |
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73 | !-- array |
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74 | sums_l(:,11,:) = sums_l_l(:,sr,:) ! mixing length from diffusivities |
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75 | !-- WARNING: next line still has to be adjusted for OpenMP |
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76 | sums_l(:,21,0) = sums_wsts_bc_l(:,sr) ! heat flux from advec_s_bc |
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77 | sums_l(nzb+9,var_sum,0) = sums_divold_l(sr) ! old divergence from pres |
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78 | sums_l(nzb+10,var_sum,0) = sums_divnew_l(sr) ! new divergence from pres |
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79 | !-- WARNING: next four lines still may have to be adjusted for OpenMP |
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80 | sums_l(nzb:nzb+2,var_sum-1,0) = sums_up_fraction_l(1,1:3,sr)! upstream |
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81 | sums_l(nzb+3:nzb+5,var_sum-1,0) = sums_up_fraction_l(2,1:3,sr)! parts |
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82 | sums_l(nzb+6:nzb+8,var_sum-1,0) = sums_up_fraction_l(3,1:3,sr)! from |
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83 | sums_l(nzb+9:nzb+11,var_sum-1,0) = sums_up_fraction_l(4,1:3,sr)! spline |
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84 | |
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85 | ! |
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86 | !-- Horizontally averaged profiles of horizontal velocities and temperature. |
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87 | !-- They must have been computed before, because they are already required |
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88 | !-- for other horizontal averages. |
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89 | tn = 0 |
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90 | !$OMP PARALLEL PRIVATE( i, j, k, tn ) |
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91 | #if defined( __lcmuk ) |
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92 | tn = omp_get_thread_num() |
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93 | #else |
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94 | !$ tn = omp_get_thread_num() |
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95 | #endif |
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96 | |
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97 | !$OMP DO |
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98 | DO i = nxl, nxr |
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99 | DO j = nys, nyn |
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100 | DO k = nzb_s_outer(j,i), nzt+1 |
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101 | sums_l(k,1,tn) = sums_l(k,1,tn) + u(k,j,i) * rmask(j,i,sr) |
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102 | sums_l(k,2,tn) = sums_l(k,2,tn) + v(k,j,i) * rmask(j,i,sr) |
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103 | sums_l(k,4,tn) = sums_l(k,4,tn) + pt(k,j,i) * rmask(j,i,sr) |
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104 | ENDDO |
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105 | ENDDO |
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106 | ENDDO |
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107 | |
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108 | ! |
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109 | !-- Horizontally averaged profiles of virtual potential temperature, |
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110 | !-- total water content, specific humidity and liquid water potential |
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111 | !-- temperature |
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112 | IF ( moisture ) THEN |
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113 | !$OMP DO |
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114 | DO i = nxl, nxr |
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115 | DO j = nys, nyn |
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116 | DO k = nzb_s_outer(j,i), nzt+1 |
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117 | sums_l(k,44,tn) = sums_l(k,44,tn) + & |
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118 | vpt(k,j,i) * rmask(j,i,sr) |
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119 | sums_l(k,41,tn) = sums_l(k,41,tn) + & |
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120 | q(k,j,i) * rmask(j,i,sr) |
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121 | ENDDO |
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122 | ENDDO |
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123 | ENDDO |
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124 | IF ( cloud_physics ) THEN |
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125 | !$OMP DO |
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126 | DO i = nxl, nxr |
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127 | DO j = nys, nyn |
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128 | DO k = nzb_s_outer(j,i), nzt+1 |
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129 | sums_l(k,42,tn) = sums_l(k,42,tn) + & |
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130 | ( q(k,j,i) - ql(k,j,i) ) * rmask(j,i,sr) |
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131 | sums_l(k,43,tn) = sums_l(k,43,tn) + ( & |
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132 | pt(k,j,i) + l_d_cp*pt_d_t(k) * ql(k,j,i) & |
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133 | ) * rmask(j,i,sr) |
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134 | ENDDO |
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135 | ENDDO |
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136 | ENDDO |
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137 | ENDIF |
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138 | ENDIF |
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139 | |
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140 | ! |
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141 | !-- Horizontally averaged profiles of passive scalar |
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142 | IF ( passive_scalar ) THEN |
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143 | !$OMP DO |
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144 | DO i = nxl, nxr |
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145 | DO j = nys, nyn |
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146 | DO k = nzb_s_outer(j,i), nzt+1 |
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147 | sums_l(k,41,tn) = sums_l(k,41,tn) + q(k,j,i) * rmask(j,i,sr) |
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148 | ENDDO |
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149 | ENDDO |
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150 | ENDDO |
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151 | ENDIF |
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152 | !$OMP END PARALLEL |
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153 | |
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154 | ! |
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155 | !-- Summation of thread sums |
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156 | IF ( threads_per_task > 1 ) THEN |
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157 | DO i = 1, threads_per_task-1 |
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158 | sums_l(:,1,0) = sums_l(:,1,0) + sums_l(:,1,i) |
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159 | sums_l(:,2,0) = sums_l(:,2,0) + sums_l(:,2,i) |
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160 | sums_l(:,4,0) = sums_l(:,4,0) + sums_l(:,4,i) |
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161 | IF ( moisture ) THEN |
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162 | sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i) |
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163 | sums_l(:,44,0) = sums_l(:,44,0) + sums_l(:,44,i) |
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164 | IF ( cloud_physics ) THEN |
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165 | sums_l(:,42,0) = sums_l(:,42,0) + sums_l(:,42,i) |
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166 | sums_l(:,43,0) = sums_l(:,43,0) + sums_l(:,43,i) |
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167 | ENDIF |
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168 | ENDIF |
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169 | IF ( passive_scalar ) THEN |
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170 | sums_l(:,41,0) = sums_l(:,41,0) + sums_l(:,41,i) |
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171 | ENDIF |
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172 | ENDDO |
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173 | ENDIF |
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174 | |
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175 | #if defined( __parallel ) |
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176 | ! |
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177 | !-- Compute total sum from local sums |
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178 | CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, MPI_REAL, & |
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179 | MPI_SUM, comm2d, ierr ) |
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180 | CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, MPI_REAL, & |
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181 | MPI_SUM, comm2d, ierr ) |
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182 | CALL MPI_ALLREDUCE( sums_l(nzb,4,0), sums(nzb,4), nzt+2-nzb, MPI_REAL, & |
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183 | MPI_SUM, comm2d, ierr ) |
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184 | IF ( moisture ) THEN |
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185 | CALL MPI_ALLREDUCE( sums_l(nzb,44,0), sums(nzb,44), nzt+2-nzb, & |
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186 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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187 | CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, & |
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188 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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189 | IF ( cloud_physics ) THEN |
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190 | CALL MPI_ALLREDUCE( sums_l(nzb,42,0), sums(nzb,42), nzt+2-nzb, & |
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191 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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192 | CALL MPI_ALLREDUCE( sums_l(nzb,43,0), sums(nzb,43), nzt+2-nzb, & |
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193 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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194 | ENDIF |
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195 | ENDIF |
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196 | |
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197 | IF ( passive_scalar ) THEN |
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198 | CALL MPI_ALLREDUCE( sums_l(nzb,41,0), sums(nzb,41), nzt+2-nzb, & |
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199 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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200 | ENDIF |
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201 | #else |
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202 | sums(:,1) = sums_l(:,1,0) |
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203 | sums(:,2) = sums_l(:,2,0) |
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204 | sums(:,4) = sums_l(:,4,0) |
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205 | IF ( moisture ) THEN |
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206 | sums(:,44) = sums_l(:,44,0) |
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207 | sums(:,41) = sums_l(:,41,0) |
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208 | IF ( cloud_physics ) THEN |
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209 | sums(:,42) = sums_l(:,42,0) |
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210 | sums(:,43) = sums_l(:,43,0) |
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211 | ENDIF |
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212 | ENDIF |
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213 | IF ( passive_scalar ) sums(:,41) = sums_l(:,41,0) |
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214 | #endif |
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215 | |
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216 | ! |
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217 | !-- Final values are obtained by division by the total number of grid points |
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218 | !-- used for summation. After that store profiles. |
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219 | sums(:,1) = sums(:,1) / ngp_2dh_outer(:,sr) |
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220 | sums(:,2) = sums(:,2) / ngp_2dh_outer(:,sr) |
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221 | sums(:,4) = sums(:,4) / ngp_2dh_outer(:,sr) |
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222 | hom(:,1,1,sr) = sums(:,1) ! u |
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223 | hom(:,1,2,sr) = sums(:,2) ! v |
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224 | hom(:,1,4,sr) = sums(:,4) ! pt |
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225 | |
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226 | ! |
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227 | !-- Humidity and cloud parameters |
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228 | IF ( moisture ) THEN |
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229 | sums(:,44) = sums(:,44) / ngp_2dh_outer(:,sr) |
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230 | sums(:,41) = sums(:,41) / ngp_2dh_outer(:,sr) |
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231 | hom(:,1,44,sr) = sums(:,44) ! vpt |
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232 | hom(:,1,41,sr) = sums(:,41) ! qv (q) |
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233 | IF ( cloud_physics ) THEN |
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234 | sums(:,42) = sums(:,42) / ngp_2dh_outer(:,sr) |
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235 | sums(:,43) = sums(:,43) / ngp_2dh_outer(:,sr) |
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236 | hom(:,1,42,sr) = sums(:,42) ! qv |
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237 | hom(:,1,43,sr) = sums(:,43) ! pt |
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238 | ENDIF |
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239 | ENDIF |
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240 | |
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241 | ! |
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242 | !-- Passive scalar |
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243 | IF ( passive_scalar ) hom(:,1,41,sr) = sums(:,41) / ngp_2dh_outer(:,sr) |
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244 | |
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245 | ! |
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246 | !-- Horizontally averaged profiles of the remaining prognostic variables, |
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247 | !-- variances, the total and the perturbation energy (single values in last |
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248 | !-- column of sums_l) and some diagnostic quantities. |
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249 | !-- NOTE: for simplicity, nzb_s_outer is used below, although strictly |
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250 | !-- ---- speaking the following k-loop would have to be split up and |
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251 | !-- rearranged according to the staggered grid. |
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252 | tn = 0 |
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253 | #if defined( __lcmuk ) |
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254 | !$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, & |
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255 | !$OMP tn, ust, ust2, u2, vst, vst2, v2, w2 ) |
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256 | tn = omp_get_thread_num() |
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257 | #else |
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258 | !$OMP PARALLEL PRIVATE( i, j, k, pts, sums_ll, sums_l_eper, sums_l_etot, tn, ust, ust2, u2, vst, vst2, v2, w2 ) |
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259 | !$ tn = omp_get_thread_num() |
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260 | #endif |
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261 | !$OMP DO |
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262 | DO i = nxl, nxr |
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263 | DO j = nys, nyn |
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264 | sums_l_etot = 0.0 |
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265 | sums_l_eper = 0.0 |
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266 | DO k = nzb_s_outer(j,i), nzt+1 |
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267 | u2 = u(k,j,i)**2 |
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268 | v2 = v(k,j,i)**2 |
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269 | w2 = w(k,j,i)**2 |
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270 | ust2 = ( u(k,j,i) - hom(k,1,1,sr) )**2 |
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271 | vst2 = ( v(k,j,i) - hom(k,1,2,sr) )**2 |
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272 | ! |
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273 | !-- Prognostic and diagnostic variables |
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274 | sums_l(k,3,tn) = sums_l(k,3,tn) + w(k,j,i) * rmask(j,i,sr) |
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275 | sums_l(k,8,tn) = sums_l(k,8,tn) + e(k,j,i) * rmask(j,i,sr) |
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276 | sums_l(k,9,tn) = sums_l(k,9,tn) + km(k,j,i) * rmask(j,i,sr) |
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277 | sums_l(k,10,tn) = sums_l(k,10,tn) + kh(k,j,i) * rmask(j,i,sr) |
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278 | sums_l(k,40,tn) = sums_l(k,40,tn) + p(k,j,i) |
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279 | |
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280 | ! |
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281 | !-- Variances |
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282 | sums_l(k,30,tn) = sums_l(k,30,tn) + ust2 * rmask(j,i,sr) |
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283 | sums_l(k,31,tn) = sums_l(k,31,tn) + vst2 * rmask(j,i,sr) |
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284 | sums_l(k,32,tn) = sums_l(k,32,tn) + w2 * rmask(j,i,sr) |
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285 | sums_l(k,33,tn) = sums_l(k,33,tn) + & |
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286 | ( pt(k,j,i)-hom(k,1,4,sr) )**2 * rmask(j,i,sr) |
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287 | ! |
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288 | !-- Higher moments |
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289 | !-- (Computation of the skewness of w further below) |
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290 | sums_l(k,38,tn) = sums_l(k,38,tn) + w(k,j,i) * w2 * & |
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291 | rmask(j,i,sr) |
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292 | ! |
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293 | !-- Perturbation energy |
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294 | sums_l(k,34,tn) = sums_l(k,34,tn) + 0.5 * ( ust2 + vst2 + w2 ) & |
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295 | * rmask(j,i,sr) |
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296 | sums_l_etot = sums_l_etot + & |
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297 | 0.5 * ( u2 + v2 + w2 ) * rmask(j,i,sr) |
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298 | sums_l_eper = sums_l_eper + & |
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299 | 0.5 * ( ust2+vst2+w2 ) * rmask(j,i,sr) |
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300 | ENDDO |
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301 | ! |
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302 | !-- Total and perturbation energy for the total domain (being |
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303 | !-- collected in the last column of sums_l). Summation of these |
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304 | !-- quantities is seperated from the previous loop in order to |
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305 | !-- allow vectorization of that loop. |
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306 | sums_l(nzb+4,var_sum,tn) = sums_l(nzb+4,var_sum,tn) + sums_l_etot |
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307 | sums_l(nzb+5,var_sum,tn) = sums_l(nzb+5,var_sum,tn) + sums_l_eper |
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308 | ! |
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309 | !-- 2D-arrays (being collected in the last column of sums_l) |
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310 | sums_l(nzb,var_sum,tn) = sums_l(nzb,var_sum,tn) + & |
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311 | us(j,i) * rmask(j,i,sr) |
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312 | sums_l(nzb+1,var_sum,tn) = sums_l(nzb+1,var_sum,tn) + & |
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313 | usws(j,i) * rmask(j,i,sr) |
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314 | sums_l(nzb+2,var_sum,tn) = sums_l(nzb+2,var_sum,tn) + & |
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315 | vsws(j,i) * rmask(j,i,sr) |
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316 | sums_l(nzb+3,var_sum,tn) = sums_l(nzb+3,var_sum,tn) + & |
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317 | ts(j,i) * rmask(j,i,sr) |
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318 | ENDDO |
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319 | ENDDO |
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320 | |
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321 | ! |
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322 | !-- Horizontally averaged profiles of the vertical fluxes |
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323 | !$OMP DO |
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324 | DO i = nxl, nxr |
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325 | DO j = nys, nyn |
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326 | ! |
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327 | !-- Subgridscale fluxes (without Prandtl layer from k=nzb, |
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328 | !-- oterwise from k=nzb+1) |
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329 | !-- NOTE: for simplicity, nzb_diff_s_outer is used below, although |
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330 | !-- ---- strictly speaking the following k-loop would have to be |
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331 | !-- split up according to the staggered grid. |
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332 | DO k = nzb_diff_s_outer(j,i)-1, nzt |
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333 | ! |
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334 | !-- Momentum flux w"u" |
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335 | sums_l(k,12,tn) = sums_l(k,12,tn) - 0.25 * ( & |
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336 | km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) & |
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337 | ) * ( & |
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338 | ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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339 | + ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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340 | ) * rmask(j,i,sr) |
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341 | ! |
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342 | !-- Momentum flux w"v" |
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343 | sums_l(k,14,tn) = sums_l(k,14,tn) - 0.25 * ( & |
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344 | km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) & |
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345 | ) * ( & |
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346 | ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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347 | + ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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348 | ) * rmask(j,i,sr) |
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349 | ! |
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350 | !-- Heat flux w"pt" |
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351 | sums_l(k,16,tn) = sums_l(k,16,tn) & |
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352 | - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) & |
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353 | * ( pt(k+1,j,i) - pt(k,j,i) ) & |
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354 | * ddzu(k+1) * rmask(j,i,sr) |
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355 | |
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356 | |
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357 | ! |
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358 | !-- Buoyancy flux, water flux (humidity flux) w"q" |
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359 | IF ( moisture ) THEN |
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360 | sums_l(k,45,tn) = sums_l(k,45,tn) & |
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361 | - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) & |
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362 | * ( vpt(k+1,j,i) - vpt(k,j,i) ) & |
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363 | * ddzu(k+1) * rmask(j,i,sr) |
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364 | sums_l(k,48,tn) = sums_l(k,48,tn) & |
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365 | - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) & |
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366 | * ( q(k+1,j,i) - q(k,j,i) ) & |
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367 | * ddzu(k+1) * rmask(j,i,sr) |
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368 | IF ( cloud_physics ) THEN |
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369 | sums_l(k,51,tn) = sums_l(k,51,tn) & |
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370 | - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) & |
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371 | * ( ( q(k+1,j,i) - ql(k+1,j,i) )& |
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372 | - ( q(k,j,i) - ql(k,j,i) ) ) & |
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373 | * ddzu(k+1) * rmask(j,i,sr) |
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374 | ENDIF |
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375 | ENDIF |
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376 | |
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377 | ! |
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378 | !-- Passive scalar flux |
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379 | IF ( passive_scalar ) THEN |
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380 | sums_l(k,48,tn) = sums_l(k,48,tn) & |
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381 | - 0.5 * ( kh(k,j,i) + kh(k+1,j,i) ) & |
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382 | * ( q(k+1,j,i) - q(k,j,i) ) & |
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383 | * ddzu(k+1) * rmask(j,i,sr) |
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384 | ENDIF |
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385 | |
---|
386 | ENDDO |
---|
387 | |
---|
388 | ! |
---|
389 | !-- Subgridscale fluxes in the Prandtl layer |
---|
390 | IF ( use_surface_fluxes ) THEN |
---|
391 | sums_l(nzb,12,tn) = sums_l(nzb,12,tn) + & |
---|
392 | usws(j,i) * rmask(j,i,sr) ! w"u" |
---|
393 | sums_l(nzb,14,tn) = sums_l(nzb,14,tn) + & |
---|
394 | vsws(j,i) * rmask(j,i,sr) ! w"v" |
---|
395 | sums_l(nzb,16,tn) = sums_l(nzb,16,tn) + & |
---|
396 | shf(j,i) * rmask(j,i,sr) ! w"pt" |
---|
397 | sums_l(nzb,58,tn) = sums_l(nzb,58,tn) + & |
---|
398 | 0.0 * rmask(j,i,sr) ! u"pt" |
---|
399 | sums_l(nzb,61,tn) = sums_l(nzb,61,tn) + & |
---|
400 | 0.0 * rmask(j,i,sr) ! v"pt" |
---|
401 | IF ( moisture ) THEN |
---|
402 | sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + & |
---|
403 | qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv") |
---|
404 | IF ( cloud_physics ) THEN |
---|
405 | sums_l(nzb,45,tn) = sums_l(nzb,45,tn) + ( & |
---|
406 | ( 1.0 + 0.61 * q(nzb,j,i) ) * & |
---|
407 | shf(j,i) + 0.61 * pt(nzb,j,i) * & |
---|
408 | qsws(j,i) & |
---|
409 | ) |
---|
410 | ! |
---|
411 | !-- Formula does not work if ql(nzb) /= 0.0 |
---|
412 | sums_l(nzb,51,tn) = sums_l(nzb,51,tn) + & ! w"q" (w"qv") |
---|
413 | qsws(j,i) * rmask(j,i,sr) |
---|
414 | ENDIF |
---|
415 | ENDIF |
---|
416 | IF ( passive_scalar ) THEN |
---|
417 | sums_l(nzb,48,tn) = sums_l(nzb,48,tn) + & |
---|
418 | qsws(j,i) * rmask(j,i,sr) ! w"q" (w"qv") |
---|
419 | ENDIF |
---|
420 | ENDIF |
---|
421 | |
---|
422 | ! |
---|
423 | !-- Resolved fluxes (can be computed for all horizontal points) |
---|
424 | !-- NOTE: for simplicity, nzb_s_outer is used below, although strictly |
---|
425 | !-- ---- speaking the following k-loop would have to be split up and |
---|
426 | !-- rearranged according to the staggered grid. |
---|
427 | DO k = nzb_s_outer(j,i), nzt |
---|
428 | ust = 0.5 * ( u(k,j,i) - hom(k,1,1,sr) + & |
---|
429 | u(k+1,j,i) - hom(k+1,1,1,sr) ) |
---|
430 | vst = 0.5 * ( v(k,j,i) - hom(k,1,2,sr) + & |
---|
431 | v(k+1,j,i) - hom(k+1,1,2,sr) ) |
---|
432 | pts = 0.5 * ( pt(k,j,i) - hom(k,1,4,sr) + & |
---|
433 | pt(k+1,j,i) - hom(k+1,1,4,sr) ) |
---|
434 | ! |
---|
435 | !-- Momentum flux w*u* |
---|
436 | sums_l(k,13,tn) = sums_l(k,13,tn) + 0.5 * & |
---|
437 | ( w(k,j,i-1) + w(k,j,i) ) & |
---|
438 | * ust * rmask(j,i,sr) |
---|
439 | ! |
---|
440 | !-- Momentum flux w*v* |
---|
441 | sums_l(k,15,tn) = sums_l(k,15,tn) + 0.5 * & |
---|
442 | ( w(k,j-1,i) + w(k,j,i) ) & |
---|
443 | * vst * rmask(j,i,sr) |
---|
444 | ! |
---|
445 | !-- Heat flux w*pt* |
---|
446 | !-- The following formula (comment line, not executed) does not |
---|
447 | !-- work if applied to subregions |
---|
448 | ! sums_l(k,17,tn) = sums_l(k,17,tn) + 0.5 * & |
---|
449 | ! ( pt(k,j,i)+pt(k+1,j,i) ) & |
---|
450 | ! * w(k,j,i) * rmask(j,i,sr) |
---|
451 | sums_l(k,17,tn) = sums_l(k,17,tn) + pts * w(k,j,i) * & |
---|
452 | rmask(j,i,sr) |
---|
453 | ! |
---|
454 | !-- Higher moments |
---|
455 | sums_l(k,35,tn) = sums_l(k,35,tn) + pts * w(k,j,i)**2 * & |
---|
456 | rmask(j,i,sr) |
---|
457 | sums_l(k,36,tn) = sums_l(k,36,tn) + pts**2 * w(k,j,i) * & |
---|
458 | rmask(j,i,sr) |
---|
459 | |
---|
460 | ! |
---|
461 | !-- Buoyancy flux, water flux, humidity flux and liquid water |
---|
462 | !-- content |
---|
463 | IF ( moisture ) THEN |
---|
464 | pts = 0.5 * ( vpt(k,j,i) - hom(k,1,44,sr) + & |
---|
465 | vpt(k+1,j,i) - hom(k+1,1,44,sr) ) |
---|
466 | sums_l(k,46,tn) = sums_l(k,46,tn) + pts * w(k,j,i) * & |
---|
467 | rmask(j,i,sr) |
---|
468 | pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + & |
---|
469 | q(k+1,j,i) - hom(k+1,1,41,sr) ) |
---|
470 | sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * & |
---|
471 | rmask(j,i,sr) |
---|
472 | IF ( cloud_physics .OR. cloud_droplets ) THEN |
---|
473 | pts = 0.5 * & |
---|
474 | ( ( q(k,j,i) - ql(k,j,i) ) - hom(k,1,42,sr) & |
---|
475 | + ( q(k+1,j,i) - ql(k+1,j,i) ) - hom(k+1,1,42,sr) ) |
---|
476 | sums_l(k,52,tn) = sums_l(k,52,tn) + pts * w(k,j,i) * & |
---|
477 | rmask(j,i,sr) |
---|
478 | sums_l(k,54,tn) = sums_l(k,54,tn) + ql(k,j,i) * & |
---|
479 | rmask(j,i,sr) |
---|
480 | ENDIF |
---|
481 | ENDIF |
---|
482 | |
---|
483 | ! |
---|
484 | !-- Passive scalar flux |
---|
485 | IF ( passive_scalar ) THEN |
---|
486 | pts = 0.5 * ( q(k,j,i) - hom(k,1,41,sr) + & |
---|
487 | q(k+1,j,i) - hom(k+1,1,41,sr) ) |
---|
488 | sums_l(k,49,tn) = sums_l(k,49,tn) + pts * w(k,j,i) * & |
---|
489 | rmask(j,i,sr) |
---|
490 | ENDIF |
---|
491 | |
---|
492 | ! |
---|
493 | !-- Energy flux w*e* |
---|
494 | sums_l(k,37,tn) = sums_l(k,37,tn) + w(k,j,i) * 0.5 * & |
---|
495 | ( ust**2 + vst**2 + w(k,j,i)**2 )& |
---|
496 | * rmask(j,i,sr) |
---|
497 | |
---|
498 | ENDDO |
---|
499 | ENDDO |
---|
500 | ENDDO |
---|
501 | |
---|
502 | ! |
---|
503 | !-- Divergence of vertical flux of resolved scale energy and pressure |
---|
504 | !-- fluctuations. First calculate the products, then the divergence. |
---|
505 | !-- Calculation is time consuming. Do it only, if profiles shall be plotted. |
---|
506 | IF ( hom(nzb+1,2,55,0) /= 0.0 ) THEN |
---|
507 | |
---|
508 | sums_ll = 0.0 ! local array |
---|
509 | |
---|
510 | !$OMP DO |
---|
511 | DO i = nxl, nxr |
---|
512 | DO j = nys, nyn |
---|
513 | DO k = nzb_s_outer(j,i)+1, nzt |
---|
514 | |
---|
515 | sums_ll(k,1) = sums_ll(k,1) + 0.5 * w(k,j,i) * ( & |
---|
516 | ( 0.25 * ( u(k,j,i)+u(k+1,j,i)+u(k,j,i+1)+u(k+1,j,i+1) & |
---|
517 | - 2.0 * ( hom(k,1,1,sr) + hom(k+1,1,1,sr) ) & |
---|
518 | ) )**2 & |
---|
519 | + ( 0.25 * ( v(k,j,i)+v(k+1,j,i)+v(k,j+1,i)+v(k+1,j+1,i) & |
---|
520 | - 2.0 * ( hom(k,1,2,sr) + hom(k+1,1,2,sr) ) & |
---|
521 | ) )**2 & |
---|
522 | + w(k,j,i)**2 ) |
---|
523 | |
---|
524 | sums_ll(k,2) = sums_ll(k,2) + 0.5 * w(k,j,i) & |
---|
525 | * ( p(k,j,i) + p(k+1,j,i) ) |
---|
526 | |
---|
527 | ENDDO |
---|
528 | ENDDO |
---|
529 | ENDDO |
---|
530 | sums_ll(0,1) = 0.0 ! because w is zero at the bottom |
---|
531 | sums_ll(nzt+1,1) = 0.0 |
---|
532 | sums_ll(0,2) = 0.0 |
---|
533 | sums_ll(nzt+1,2) = 0.0 |
---|
534 | |
---|
535 | DO k = nzb_s_outer(j,i)+1, nzt |
---|
536 | sums_l(k,55,tn) = ( sums_ll(k,1) - sums_ll(k-1,1) ) * ddzw(k) |
---|
537 | sums_l(k,56,tn) = ( sums_ll(k,2) - sums_ll(k-1,2) ) * ddzw(k) |
---|
538 | ENDDO |
---|
539 | sums_l(nzb,55,tn) = sums_l(nzb+1,55,tn) |
---|
540 | sums_l(nzb,56,tn) = sums_l(nzb+1,56,tn) |
---|
541 | |
---|
542 | ENDIF |
---|
543 | |
---|
544 | ! |
---|
545 | !-- Divergence of vertical flux of SGS TKE |
---|
546 | IF ( hom(nzb+1,2,57,0) /= 0.0 ) THEN |
---|
547 | |
---|
548 | !$OMP DO |
---|
549 | DO i = nxl, nxr |
---|
550 | DO j = nys, nyn |
---|
551 | DO k = nzb_s_outer(j,i)+1, nzt |
---|
552 | |
---|
553 | sums_l(k,57,tn) = sums_l(k,57,tn) + ( & |
---|
554 | (km(k,j,i)+km(k+1,j,i)) * (e(k+1,j,i)-e(k,j,i)) * ddzu(k+1) & |
---|
555 | - (km(k-1,j,i)+km(k,j,i)) * (e(k,j,i)-e(k-1,j,i)) * ddzu(k) & |
---|
556 | ) * ddzw(k) |
---|
557 | |
---|
558 | ENDDO |
---|
559 | ENDDO |
---|
560 | ENDDO |
---|
561 | sums_l(nzb,57,tn) = sums_l(nzb+1,57,tn) |
---|
562 | |
---|
563 | ENDIF |
---|
564 | |
---|
565 | ! |
---|
566 | !-- Horizontal heat fluxes (subgrid, resolved, total). |
---|
567 | !-- Do it only, if profiles shall be plotted. |
---|
568 | IF ( hom(nzb+1,2,58,0) /= 0.0 ) THEN |
---|
569 | |
---|
570 | !$OMP DO |
---|
571 | DO i = nxl, nxr |
---|
572 | DO j = nys, nyn |
---|
573 | DO k = nzb_s_outer(j,i)+1, nzt |
---|
574 | ! |
---|
575 | !-- Subgrid horizontal heat fluxes u"pt", v"pt" |
---|
576 | sums_l(k,58,tn) = sums_l(k,58,tn) - 0.5 * & |
---|
577 | ( kh(k,j,i) + kh(k,j,i-1) ) & |
---|
578 | * ( pt(k,j,i-1) - pt(k,j,i) ) & |
---|
579 | * ddx * rmask(j,i,sr) |
---|
580 | sums_l(k,61,tn) = sums_l(k,61,tn) - 0.5 * & |
---|
581 | ( kh(k,j,i) + kh(k,j-1,i) ) & |
---|
582 | * ( pt(k,j-1,i) - pt(k,j,i) ) & |
---|
583 | * ddy * rmask(j,i,sr) |
---|
584 | ! |
---|
585 | !-- Resolved horizontal heat fluxes u*pt*, v*pt* |
---|
586 | sums_l(k,59,tn) = sums_l(k,59,tn) + & |
---|
587 | ( u(k,j,i) - hom(k,1,1,sr) ) & |
---|
588 | * 0.5 * ( pt(k,j,i-1) - hom(k,1,4,sr) + & |
---|
589 | pt(k,j,i) - hom(k,1,4,sr) ) |
---|
590 | pts = 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + & |
---|
591 | pt(k,j,i) - hom(k,1,4,sr) ) |
---|
592 | sums_l(k,62,tn) = sums_l(k,62,tn) + & |
---|
593 | ( v(k,j,i) - hom(k,1,2,sr) ) & |
---|
594 | * 0.5 * ( pt(k,j-1,i) - hom(k,1,4,sr) + & |
---|
595 | pt(k,j,i) - hom(k,1,4,sr) ) |
---|
596 | ENDDO |
---|
597 | ENDDO |
---|
598 | ENDDO |
---|
599 | ! |
---|
600 | !-- Fluxes at the surface must be zero (e.g. due to the Prandtl-layer) |
---|
601 | sums(nzb,58) = 0.0 |
---|
602 | sums(nzb,59) = 0.0 |
---|
603 | sums(nzb,60) = 0.0 |
---|
604 | sums(nzb,61) = 0.0 |
---|
605 | sums(nzb,62) = 0.0 |
---|
606 | sums(nzb,63) = 0.0 |
---|
607 | |
---|
608 | ENDIF |
---|
609 | !$OMP END PARALLEL |
---|
610 | |
---|
611 | ! |
---|
612 | !-- Summation of thread sums |
---|
613 | IF ( threads_per_task > 1 ) THEN |
---|
614 | DO i = 1, threads_per_task-1 |
---|
615 | sums_l(:,3,0) = sums_l(:,3,0) + sums_l(:,3,i) |
---|
616 | sums_l(:,4:40,0) = sums_l(:,4:40,0) + sums_l(:,4:40,i) |
---|
617 | sums_l(:,45:var_sum,0) = sums_l(:,45:var_sum,0) + & |
---|
618 | sums_l(:,45:var_sum,i) |
---|
619 | ENDDO |
---|
620 | ENDIF |
---|
621 | |
---|
622 | #if defined( __parallel ) |
---|
623 | ! |
---|
624 | !-- Compute total sum from local sums |
---|
625 | CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), ngp_sums, MPI_REAL, & |
---|
626 | MPI_SUM, comm2d, ierr ) |
---|
627 | #else |
---|
628 | sums = sums_l(:,:,0) |
---|
629 | #endif |
---|
630 | |
---|
631 | ! |
---|
632 | !-- Final values are obtained by division by the total number of grid points |
---|
633 | !-- used for summation. After that store profiles. |
---|
634 | !-- Profiles: |
---|
635 | DO k = nzb, nzt+1 |
---|
636 | sums(k,:var_sum-2) = sums(k,:var_sum-2) / ngp_2dh_outer(k,sr) |
---|
637 | ENDDO |
---|
638 | !-- Upstream-parts |
---|
639 | sums(nzb:nzb+11,var_sum-1) = sums(nzb:nzb+11,var_sum-1) / ngp_3d(sr) |
---|
640 | !-- u* and so on |
---|
641 | !-- As sums(nzb:nzb+3,var_sum) are full 2D arrays (us, usws, vsws, ts) whose |
---|
642 | !-- size is always ( nx + 1 ) * ( ny + 1 ), defined at the first grid layer |
---|
643 | !-- above the topography, they are being divided by ngp_2dh(sr) |
---|
644 | sums(nzb:nzb+3,var_sum) = sums(nzb:nzb+3,var_sum) / & |
---|
645 | ngp_2dh(sr) |
---|
646 | !-- eges, e* |
---|
647 | sums(nzb+4:nzb+5,var_sum) = sums(nzb+4:nzb+5,var_sum) / & |
---|
648 | ngp_3d_inner(sr) |
---|
649 | !-- Old and new divergence |
---|
650 | sums(nzb+9:nzb+10,var_sum) = sums(nzb+9:nzb+10,var_sum) / & |
---|
651 | ngp_3d_inner(sr) |
---|
652 | |
---|
653 | ! |
---|
654 | !-- Collect horizontal average in hom. |
---|
655 | !-- Compute deduced averages (e.g. total heat flux) |
---|
656 | hom(:,1,3,sr) = sums(:,3) ! w |
---|
657 | hom(:,1,8,sr) = sums(:,8) ! e profiles 5-7 are initial profiles |
---|
658 | hom(:,1,9,sr) = sums(:,9) ! km |
---|
659 | hom(:,1,10,sr) = sums(:,10) ! kh |
---|
660 | hom(:,1,11,sr) = sums(:,11) ! l |
---|
661 | hom(:,1,12,sr) = sums(:,12) ! w"u" |
---|
662 | hom(:,1,13,sr) = sums(:,13) ! w*u* |
---|
663 | hom(:,1,14,sr) = sums(:,14) ! w"v" |
---|
664 | hom(:,1,15,sr) = sums(:,15) ! w*v* |
---|
665 | hom(:,1,16,sr) = sums(:,16) ! w"pt" |
---|
666 | hom(:,1,17,sr) = sums(:,17) ! w*pt* |
---|
667 | hom(:,1,18,sr) = sums(:,16) + sums(:,17) ! wpt |
---|
668 | hom(:,1,19,sr) = sums(:,12) + sums(:,13) ! wu |
---|
669 | hom(:,1,20,sr) = sums(:,14) + sums(:,15) ! wv |
---|
670 | hom(:,1,21,sr) = sums(:,21) ! w*pt*BC |
---|
671 | hom(:,1,22,sr) = sums(:,16) + sums(:,21) ! wptBC |
---|
672 | ! profiles 23-29 left empty for initial |
---|
673 | ! profiles |
---|
674 | hom(:,1,30,sr) = sums(:,30) ! u*2 |
---|
675 | hom(:,1,31,sr) = sums(:,31) ! v*2 |
---|
676 | hom(:,1,32,sr) = sums(:,32) ! w*2 |
---|
677 | hom(:,1,33,sr) = sums(:,33) ! pt*2 |
---|
678 | hom(:,1,34,sr) = sums(:,34) ! e* |
---|
679 | hom(:,1,35,sr) = sums(:,35) ! w*2pt* |
---|
680 | hom(:,1,36,sr) = sums(:,36) ! w*pt*2 |
---|
681 | hom(:,1,37,sr) = sums(:,37) ! w*e* |
---|
682 | hom(:,1,38,sr) = sums(:,38) ! w*3 |
---|
683 | hom(:,1,39,sr) = sums(:,38) / ( sums(:,32) + 1E-20 )**1.5 ! Sw |
---|
684 | hom(:,1,40,sr) = sums(:,40) ! p |
---|
685 | hom(:,1,45,sr) = sums(:,45) ! w"q" |
---|
686 | hom(:,1,46,sr) = sums(:,46) ! w*vpt* |
---|
687 | hom(:,1,47,sr) = sums(:,45) + sums(:,46) ! wvpt |
---|
688 | hom(:,1,48,sr) = sums(:,48) ! w"q" (w"qv") |
---|
689 | hom(:,1,49,sr) = sums(:,49) ! w*q* (w*qv*) |
---|
690 | hom(:,1,50,sr) = sums(:,48) + sums(:,49) ! wq (wqv) |
---|
691 | hom(:,1,51,sr) = sums(:,51) ! w"qv" |
---|
692 | hom(:,1,52,sr) = sums(:,52) ! w*qv* |
---|
693 | hom(:,1,53,sr) = sums(:,52) + sums(:,51) ! wq (wqv) |
---|
694 | hom(:,1,54,sr) = sums(:,54) ! ql |
---|
695 | hom(:,1,55,sr) = sums(:,55) ! w*u*u*/dz |
---|
696 | hom(:,1,56,sr) = sums(:,56) ! w*p*/dz |
---|
697 | hom(:,1,57,sr) = sums(:,57) ! w"e/dz |
---|
698 | hom(:,1,58,sr) = sums(:,58) ! u"pt" |
---|
699 | hom(:,1,59,sr) = sums(:,59) ! u*pt* |
---|
700 | hom(:,1,60,sr) = sums(:,58) + sums(:,59) ! upt_t |
---|
701 | hom(:,1,61,sr) = sums(:,61) ! v"pt" |
---|
702 | hom(:,1,62,sr) = sums(:,62) ! v*pt* |
---|
703 | hom(:,1,63,sr) = sums(:,61) + sums(:,62) ! vpt_t |
---|
704 | |
---|
705 | hom(:,1,var_hom-1,sr) = sums(:,var_sum-1) |
---|
706 | ! upstream-parts u_x, u_y, u_z, v_x, |
---|
707 | ! v_y, usw. (in last but one profile) |
---|
708 | hom(:,1,var_hom,sr) = sums(:,var_sum) |
---|
709 | ! u*, w'u', w'v', t* (in last profile) |
---|
710 | |
---|
711 | ! |
---|
712 | !-- Determine the boundary layer height using two different schemes. |
---|
713 | !-- First scheme: Starting from the Earth's surface, look for the first |
---|
714 | !-- relative minimum of the total heat flux. The corresponding height is |
---|
715 | !-- accepted as the boundary layer height, if it is less than 1.5 times the |
---|
716 | !-- height where the heat flux becomes negative for the first time. |
---|
717 | !-- NOTE: This criterion is still capable of improving! |
---|
718 | z_i(1) = 0.0 |
---|
719 | first = .TRUE. |
---|
720 | DO k = nzb, nzt-1 |
---|
721 | IF ( first .AND. hom(k,1,18,sr) < 0.0 ) THEN |
---|
722 | first = .FALSE. |
---|
723 | height = zw(k) |
---|
724 | ENDIF |
---|
725 | IF ( hom(k,1,18,sr) < 0.0 .AND. & |
---|
726 | hom(k+1,1,18,sr) > hom(k,1,18,sr) ) THEN |
---|
727 | IF ( zw(k) < 1.5 * height ) THEN |
---|
728 | z_i(1) = zw(k) |
---|
729 | ELSE |
---|
730 | z_i(1) = height |
---|
731 | ENDIF |
---|
732 | EXIT |
---|
733 | ENDIF |
---|
734 | ENDDO |
---|
735 | |
---|
736 | ! |
---|
737 | !-- Second scheme: Starting from the top model boundary, look for the first |
---|
738 | !-- characteristic kink in the temperature profile, where the originally |
---|
739 | !-- stable stratification notably weakens. |
---|
740 | z_i(2) = 0.0 |
---|
741 | DO k = nzt-1, nzb+1, -1 |
---|
742 | IF ( ( hom(k+1,1,4,sr) - hom(k,1,4,sr) ) > & |
---|
743 | 2.0 * ( hom(k,1,4,sr) - hom(k-1,1,4,sr) ) ) THEN |
---|
744 | z_i(2) = zu(k) |
---|
745 | EXIT |
---|
746 | ENDIF |
---|
747 | ENDDO |
---|
748 | |
---|
749 | hom(nzb+6,1,var_hom,sr) = z_i(1) |
---|
750 | hom(nzb+7,1,var_hom,sr) = z_i(2) |
---|
751 | |
---|
752 | ! |
---|
753 | !-- Computation of both the characteristic vertical velocity and |
---|
754 | !-- the characteristic convective boundary layer temperature. |
---|
755 | !-- The horizontal average at nzb+1 is input for the average temperature. |
---|
756 | IF ( hom(nzb,1,18,sr) > 0.0 .AND. z_i(1) /= 0.0 ) THEN |
---|
757 | hom(nzb+8,1,var_hom,sr) = ( g / hom(nzb+1,1,4,sr) * & |
---|
758 | hom(nzb,1,18,sr) * z_i(1) )**0.333333333 |
---|
759 | !-- so far this only works if Prandtl layer is used |
---|
760 | hom(nzb+11,1,var_hom,sr) = hom(nzb,1,16,sr) / hom(nzb+8,1,var_hom,sr) |
---|
761 | ELSE |
---|
762 | hom(nzb+8,1,var_hom,sr) = 0.0 |
---|
763 | hom(nzb+11,1,var_hom,sr) = 0.0 |
---|
764 | ENDIF |
---|
765 | |
---|
766 | ENDDO ! loop of the subregions |
---|
767 | |
---|
768 | ! |
---|
769 | !-- Calculate additional statistics provided by the user interface |
---|
770 | CALL user_statistics |
---|
771 | |
---|
772 | ! |
---|
773 | !-- If required, sum up horizontal averages for subsequent time averaging |
---|
774 | IF ( do_sum ) THEN |
---|
775 | IF ( average_count_pr == 0 ) hom_sum = 0.0 |
---|
776 | hom_sum = hom_sum + hom(:,1,:,:) |
---|
777 | average_count_pr = average_count_pr + 1 |
---|
778 | do_sum = .FALSE. |
---|
779 | ENDIF |
---|
780 | |
---|
781 | ! |
---|
782 | !-- Set flag for other UPs (e.g. output routines, but also buoyancy). |
---|
783 | !-- This flag is reset after each time step in time_integration. |
---|
784 | flow_statistics_called = .TRUE. |
---|
785 | |
---|
786 | CALL cpu_log( log_point(10), 'flow_statistics', 'stop' ) |
---|
787 | |
---|
788 | |
---|
789 | END SUBROUTINE flow_statistics |
---|
790 | |
---|
791 | |
---|
792 | |
---|