1 | SUBROUTINE calc_spectra |
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2 | |
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3 | !--------------------------------------------------------------------------------! |
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4 | ! This file is part of PALM. |
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5 | ! |
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6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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7 | ! of the GNU General Public License as published by the Free Software Foundation, |
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8 | ! either version 3 of the License, or (at your option) any later version. |
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9 | ! |
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10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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13 | ! |
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14 | ! You should have received a copy of the GNU General Public License along with |
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15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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16 | ! |
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17 | ! Copyright 1997-2014 Leibniz Universitaet Hannover |
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18 | !--------------------------------------------------------------------------------! |
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19 | ! |
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20 | ! Current revisions: |
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21 | ! ----------------- |
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22 | ! |
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23 | ! |
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24 | ! Former revisions: |
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25 | ! ----------------- |
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26 | ! $Id: calc_spectra.f90 1512 2014-12-16 15:55:18Z keck $ |
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27 | ! |
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28 | ! 1511 2014-12-16 15:54:16Z suehring |
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29 | ! Bugfix concerning spectra normalization |
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30 | ! |
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31 | ! 1431 2014-07-15 14:47:17Z suehring |
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32 | ! Wavenumber-integrated spectra coincide with respective variance. |
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33 | ! |
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34 | ! 1342 2014-03-26 17:04:47Z kanani |
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35 | ! REAL constants defined as wp-kinds |
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36 | ! |
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37 | ! 1324 2014-03-21 09:13:16Z suehring |
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38 | ! Bugfix: nzb_x, nzb_yd, nyn_x, nyn_x, nzt_x, nzt_yd belong to transpose_indices |
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39 | ! |
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40 | ! 1320 2014-03-20 08:40:49Z raasch |
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41 | ! ONLY-attribute added to USE-statements, |
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42 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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43 | ! kinds are defined in new module kinds, |
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44 | ! revision history before 2012 removed, |
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45 | ! comment fields (!:) to be used for variable explanations added to |
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46 | ! all variable declaration statements |
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47 | ! |
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48 | ! 1318 2014-03-17 13:35:16Z raasch |
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49 | ! module interfaces removed |
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50 | ! |
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51 | ! 1216 2013-08-26 09:31:42Z raasch |
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52 | ! resorting of array moved to separate routine resort_for_zx, |
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53 | ! one argument removed from the transpose_..d routines |
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54 | ! |
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55 | ! 1120 2013-04-05 15:11:35Z raasch |
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56 | ! bugfix: calls of fft_x|y replaced by fft_x|y_1d |
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57 | ! |
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58 | ! 1036 2012-10-22 13:43:42Z raasch |
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59 | ! code put under GPL (PALM 3.9) |
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60 | ! |
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61 | ! 1003 2012-09-14 14:35:53Z raasch |
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62 | ! adjustment of array tend for cases with unequal subdomain sizes removed |
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63 | ! |
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64 | ! Revision 1.1 2001/01/05 15:08:07 raasch |
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65 | ! Initial revision |
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66 | ! |
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67 | ! |
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68 | ! Description: |
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69 | ! ------------ |
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70 | ! Calculate horizontal spectra along x and y. |
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71 | ! ATTENTION: 1d-decomposition along y still needs improvement, because in that |
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72 | ! case the gridpoint number along z still depends on the PE number |
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73 | ! because transpose_xz has to be used (and possibly also |
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74 | ! transpose_zyd needs modification). |
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75 | !------------------------------------------------------------------------------! |
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76 | |
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77 | #if defined( __spectra ) |
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78 | USE arrays_3d, & |
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79 | ONLY: d, tend |
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80 | |
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81 | USE control_parameters, & |
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82 | ONLY: average_count_sp, bc_lr_cyc, bc_ns_cyc, message_string, psolver |
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83 | |
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84 | USE cpulog, & |
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85 | ONLY: cpu_log, log_point |
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86 | |
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87 | USE fft_xy, & |
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88 | ONLY: fft_init |
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89 | |
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90 | USE indices, & |
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91 | ONLY: nxl, nxr, nyn, nys, nzb, nzt |
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92 | |
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93 | USE kinds |
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94 | |
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95 | USE pegrid |
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96 | |
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97 | USE spectrum, & |
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98 | ONLY: data_output_sp, spectra_direction |
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99 | |
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100 | |
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101 | IMPLICIT NONE |
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102 | |
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103 | INTEGER(iwp) :: m !: |
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104 | INTEGER(iwp) :: pr !: |
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105 | |
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106 | |
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107 | CALL cpu_log( log_point(30), 'calc_spectra', 'start' ) |
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108 | |
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109 | ! |
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110 | !-- Initialize ffts |
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111 | CALL fft_init |
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112 | |
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113 | ! |
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114 | !-- Reallocate array d in required size |
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115 | IF ( psolver == 'multigrid' ) THEN |
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116 | DEALLOCATE( d ) |
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117 | ALLOCATE( d(nzb+1:nzt,nys:nyn,nxl:nxr) ) |
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118 | ENDIF |
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119 | |
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120 | m = 1 |
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121 | DO WHILE ( data_output_sp(m) /= ' ' .AND. m <= 10 ) |
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122 | ! |
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123 | !-- Transposition from z --> x ( y --> x in case of a 1d-decomposition |
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124 | !-- along x) |
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125 | IF ( INDEX( spectra_direction(m), 'x' ) /= 0 ) THEN |
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126 | |
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127 | ! |
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128 | !-- Calculation of spectra works for cyclic boundary conditions only |
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129 | IF ( .NOT. bc_lr_cyc ) THEN |
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130 | |
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131 | message_string = 'non-cyclic lateral boundaries along x do not'// & |
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132 | '& allow calculation of spectra along x' |
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133 | CALL message( 'calc_spectra', 'PA0160', 1, 2, 0, 6, 0 ) |
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134 | ENDIF |
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135 | |
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136 | CALL preprocess_spectra( m, pr ) |
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137 | |
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138 | #if defined( __parallel ) |
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139 | IF ( pdims(2) /= 1 ) THEN |
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140 | CALL resort_for_zx( d, tend ) |
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141 | CALL transpose_zx( tend, d ) |
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142 | ELSE |
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143 | CALL transpose_yxd( d, d ) |
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144 | ENDIF |
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145 | CALL calc_spectra_x( d, pr, m ) |
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146 | #else |
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147 | message_string = 'sorry, calculation of spectra in non parallel ' // & |
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148 | 'mode& is still not realized' |
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149 | CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 ) |
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150 | #endif |
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151 | |
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152 | ENDIF |
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153 | |
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154 | ! |
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155 | !-- Transposition from z --> y (d is rearranged only in case of a |
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156 | !-- 1d-decomposition along x) |
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157 | IF ( INDEX( spectra_direction(m), 'y' ) /= 0 ) THEN |
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158 | |
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159 | ! |
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160 | !-- Calculation of spectra works for cyclic boundary conditions only |
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161 | IF ( .NOT. bc_ns_cyc ) THEN |
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162 | IF ( myid == 0 ) THEN |
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163 | message_string = 'non-cyclic lateral boundaries along y do' // & |
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164 | ' not & allow calculation of spectra along y' |
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165 | CALL message( 'calc_spectra', 'PA0162', 1, 2, 0, 6, 0 ) |
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166 | ENDIF |
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167 | CALL local_stop |
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168 | ENDIF |
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169 | |
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170 | CALL preprocess_spectra( m, pr ) |
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171 | |
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172 | #if defined( __parallel ) |
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173 | CALL transpose_zyd( d, d ) |
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174 | CALL calc_spectra_y( d, pr, m ) |
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175 | #else |
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176 | message_string = 'sorry, calculation of spectra in non parallel' // & |
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177 | 'mode& is still not realized' |
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178 | CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 ) |
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179 | #endif |
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180 | |
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181 | ENDIF |
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182 | |
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183 | ! |
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184 | !-- Increase counter for next spectrum |
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185 | m = m + 1 |
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186 | |
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187 | ENDDO |
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188 | |
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189 | ! |
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190 | !-- Increase counter for averaging process in routine plot_spectra |
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191 | average_count_sp = average_count_sp + 1 |
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192 | |
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193 | CALL cpu_log( log_point(30), 'calc_spectra', 'stop' ) |
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194 | |
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195 | #endif |
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196 | END SUBROUTINE calc_spectra |
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197 | |
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198 | |
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199 | #if defined( __spectra ) |
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200 | SUBROUTINE preprocess_spectra( m, pr ) |
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201 | |
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202 | USE arrays_3d, & |
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203 | ONLY: d, pt, q, u, v, w |
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204 | |
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205 | USE indices, & |
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206 | ONLY: ngp_2dh, nxl, nxr, nyn, nys, nzb, nzt |
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207 | |
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208 | USE kinds |
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209 | |
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210 | USE pegrid |
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211 | |
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212 | USE spectrum, & |
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213 | ONLY: data_output_sp |
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214 | |
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215 | USE statistics, & |
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216 | ONLY: hom, var_d |
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217 | |
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218 | |
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219 | IMPLICIT NONE |
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220 | |
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221 | INTEGER(iwp) :: i !: |
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222 | INTEGER(iwp) :: j !: |
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223 | INTEGER(iwp) :: k !: |
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224 | INTEGER(iwp) :: m !: |
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225 | INTEGER(iwp) :: pr !: |
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226 | |
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227 | REAL(wp), DIMENSION(nzb:nzt+1) :: var_d_l |
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228 | |
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229 | SELECT CASE ( TRIM( data_output_sp(m) ) ) |
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230 | |
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231 | CASE ( 'u' ) |
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232 | pr = 1 |
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233 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = u(nzb+1:nzt,nys:nyn,nxl:nxr) |
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234 | |
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235 | CASE ( 'v' ) |
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236 | pr = 2 |
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237 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = v(nzb+1:nzt,nys:nyn,nxl:nxr) |
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238 | |
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239 | CASE ( 'w' ) |
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240 | pr = 3 |
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241 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = w(nzb+1:nzt,nys:nyn,nxl:nxr) |
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242 | |
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243 | CASE ( 'pt' ) |
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244 | pr = 4 |
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245 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = pt(nzb+1:nzt,nys:nyn,nxl:nxr) |
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246 | |
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247 | CASE ( 'q' ) |
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248 | pr = 41 |
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249 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = q(nzb+1:nzt,nys:nyn,nxl:nxr) |
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250 | |
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251 | CASE DEFAULT |
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252 | ! |
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253 | !-- The DEFAULT case is reached either if the parameter data_output_sp(m) |
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254 | !-- contains a wrong character string or if the user has coded a special |
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255 | !-- case in the user interface. There, the subroutine user_spectra |
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256 | !-- checks which of these two conditions applies. |
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257 | CALL user_spectra( 'preprocess', m, pr ) |
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258 | |
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259 | END SELECT |
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260 | |
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261 | ! |
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262 | !-- Subtract horizontal mean from the array, for which spectra have to be |
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263 | !-- calculated |
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264 | var_d_l(:) = 0.0_wp |
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265 | DO i = nxl, nxr |
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266 | DO j = nys, nyn |
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267 | DO k = nzb+1, nzt |
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268 | d(k,j,i) = d(k,j,i) - hom(k,1,pr,0) |
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269 | var_d_l(k) = var_d_l(k) + d(k,j,i) * d(k,j,i) |
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270 | ENDDO |
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271 | ENDDO |
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272 | ENDDO |
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273 | ! |
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274 | !-- Compute total variance from local variances |
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275 | var_d(:) = 0.0_wp |
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276 | #if defined( __parallel ) |
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277 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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278 | CALL MPI_ALLREDUCE( var_d_l(0), var_d(0), nzt+1-nzb, MPI_REAL, & |
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279 | MPI_SUM, comm2d, ierr ) |
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280 | #else |
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281 | var_d(:) = var_d_l(:) |
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282 | #endif |
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283 | var_d(:) = var_d(:) / ngp_2dh(0) |
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284 | |
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285 | END SUBROUTINE preprocess_spectra |
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286 | |
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287 | |
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288 | SUBROUTINE calc_spectra_x( ddd, pr, m ) |
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289 | |
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290 | USE arrays_3d, & |
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291 | ONLY: |
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292 | |
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293 | USE control_parameters, & |
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294 | ONLY: fft_method |
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295 | |
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296 | USE fft_xy, & |
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297 | ONLY: fft_x_1d |
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298 | |
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299 | USE grid_variables, & |
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300 | ONLY: dx |
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301 | |
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302 | USE indices, & |
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303 | ONLY: nx, ny |
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304 | |
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305 | USE kinds |
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306 | |
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307 | USE pegrid |
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308 | |
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309 | USE spectrum, & |
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310 | ONLY: comp_spectra_level, n_sp_x |
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311 | |
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312 | USE statistics, & |
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313 | ONLY: spectrum_x, var_d |
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314 | |
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315 | USE transpose_indices, & |
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316 | ONLY: nyn_x, nys_x, nzb_x, nzt_x |
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317 | |
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318 | |
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319 | IMPLICIT NONE |
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320 | |
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321 | INTEGER(iwp) :: i !: |
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322 | INTEGER(iwp) :: ishape(1) !: |
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323 | INTEGER(iwp) :: j !: |
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324 | INTEGER(iwp) :: k !: |
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325 | INTEGER(iwp) :: m !: |
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326 | INTEGER(iwp) :: n !: |
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327 | INTEGER(iwp) :: pr !: |
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328 | |
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329 | REAL(wp) :: exponent !: |
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330 | REAL(wp) :: sum_spec_dum !: wavenumber-integrated spectrum |
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331 | |
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332 | REAL(wp), DIMENSION(0:nx) :: work !: |
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333 | |
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334 | REAL(wp), DIMENSION(0:nx/2) :: sums_spectra_l !: |
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335 | |
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336 | REAL(wp), DIMENSION(0:nx/2,100) :: sums_spectra !: |
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337 | |
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338 | REAL(wp), DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: ddd !: |
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339 | |
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340 | ! |
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341 | !-- Exponent for geometric average |
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342 | exponent = 1.0_wp / ( ny + 1.0_wp ) |
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343 | |
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344 | ! |
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345 | !-- Loop over all levels defined by the user |
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346 | n = 1 |
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347 | DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 ) |
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348 | |
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349 | k = comp_spectra_level(n) |
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350 | |
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351 | ! |
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352 | !-- Calculate FFT only if the corresponding level is situated on this PE |
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353 | IF ( k >= nzb_x .AND. k <= nzt_x ) THEN |
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354 | |
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355 | DO j = nys_x, nyn_x |
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356 | |
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357 | work = ddd(0:nx,j,k) |
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358 | CALL fft_x_1d( work, 'forward' ) |
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359 | |
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360 | ddd(0,j,k) = dx * work(0)**2 |
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361 | DO i = 1, nx/2 |
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362 | ddd(i,j,k) = dx * ( work(i)**2 + work(nx+1-i)**2 ) |
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363 | ENDDO |
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364 | |
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365 | ENDDO |
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366 | |
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367 | ! |
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368 | !-- Local sum and geometric average of these spectra |
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369 | !-- (WARNING: no global sum should be performed, because floating |
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370 | !-- point overflow may occur) |
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371 | DO i = 0, nx/2 |
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372 | |
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373 | sums_spectra_l(i) = 1.0_wp |
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374 | DO j = nys_x, nyn_x |
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375 | sums_spectra_l(i) = sums_spectra_l(i) * ddd(i,j,k)**exponent |
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376 | ENDDO |
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377 | |
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378 | ENDDO |
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379 | |
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380 | ELSE |
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381 | |
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382 | sums_spectra_l = 1.0_wp |
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383 | |
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384 | ENDIF |
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385 | |
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386 | ! |
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387 | !-- Global sum of spectra on PE0 (from where they are written on file) |
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388 | sums_spectra(:,n) = 0.0_wp |
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389 | #if defined( __parallel ) |
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390 | CALL MPI_BARRIER( comm2d, ierr ) ! Necessary? |
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391 | CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), nx/2+1, & |
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392 | MPI_REAL, MPI_PROD, 0, comm2d, ierr ) |
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393 | #else |
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394 | sums_spectra(:,n) = sums_spectra_l |
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395 | #endif |
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396 | ! |
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397 | !-- Normalize spectra by variance |
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398 | sum_spec_dum = SUM( sums_spectra(:,n) ) |
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399 | IF ( sum_spec_dum /= 0.0_wp ) THEN |
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400 | sums_spectra(:,n) = sums_spectra(:,n) * var_d(k) / sum_spec_dum |
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401 | ENDIF |
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402 | n = n + 1 |
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403 | |
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404 | ENDDO |
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405 | n = n - 1 |
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406 | |
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407 | IF ( myid == 0 ) THEN |
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408 | ! |
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409 | !-- Sum of spectra for later averaging (see routine data_output_spectra) |
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410 | DO i = 1, nx/2 |
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411 | DO k = 1, n |
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412 | spectrum_x(i,k,m) = spectrum_x(i,k,m) + sums_spectra(i,k) |
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413 | ENDDO |
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414 | ENDDO |
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415 | |
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416 | ENDIF |
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417 | ! |
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418 | !-- n_sp_x is needed by data_output_spectra_x |
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419 | n_sp_x = n |
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420 | |
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421 | END SUBROUTINE calc_spectra_x |
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422 | |
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423 | |
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424 | SUBROUTINE calc_spectra_y( ddd, pr, m ) |
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425 | |
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426 | USE arrays_3d, & |
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427 | ONLY: |
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428 | |
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429 | USE control_parameters, & |
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430 | ONLY: fft_method |
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431 | |
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432 | USE fft_xy, & |
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433 | ONLY: fft_y_1d |
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434 | |
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435 | USE grid_variables, & |
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436 | ONLY: dy |
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437 | |
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438 | USE indices, & |
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439 | ONLY: nx, ny |
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440 | |
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441 | USE kinds |
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442 | |
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443 | USE pegrid |
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444 | |
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445 | USE spectrum, & |
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446 | ONLY: comp_spectra_level, n_sp_y |
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447 | |
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448 | USE statistics, & |
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449 | ONLY: spectrum_y, var_d |
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450 | |
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451 | USE transpose_indices, & |
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452 | ONLY: nxl_yd, nxr_yd, nzb_yd, nzt_yd |
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453 | |
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454 | |
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455 | IMPLICIT NONE |
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456 | |
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457 | INTEGER(iwp) :: i !: |
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458 | INTEGER(iwp) :: j !: |
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459 | INTEGER(iwp) :: jshape(1) !: |
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460 | INTEGER(iwp) :: k !: |
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461 | INTEGER(iwp) :: m !: |
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462 | INTEGER(iwp) :: n !: |
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463 | INTEGER(iwp) :: pr !: |
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464 | |
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465 | REAL(wp) :: exponent !: |
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466 | REAL(wp) :: sum_spec_dum !: wavenumber-integrated spectrum |
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467 | |
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468 | REAL(wp), DIMENSION(0:ny) :: work !: |
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469 | |
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470 | REAL(wp), DIMENSION(0:ny/2) :: sums_spectra_l !: |
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471 | |
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472 | REAL(wp), DIMENSION(0:ny/2,100) :: sums_spectra !: |
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473 | |
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474 | REAL(wp), DIMENSION(0:ny,nxl_yd:nxr_yd,nzb_yd:nzt_yd) :: ddd !: |
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475 | |
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476 | |
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477 | ! |
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478 | !-- Exponent for geometric average |
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479 | exponent = 1.0_wp / ( nx + 1.0_wp ) |
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480 | |
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481 | ! |
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482 | !-- Loop over all levels defined by the user |
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483 | n = 1 |
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484 | DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 ) |
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485 | |
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486 | k = comp_spectra_level(n) |
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487 | |
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488 | ! |
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489 | !-- Calculate FFT only if the corresponding level is situated on this PE |
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490 | IF ( k >= nzb_yd .AND. k <= nzt_yd ) THEN |
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491 | |
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492 | DO i = nxl_yd, nxr_yd |
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493 | |
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494 | work = ddd(0:ny,i,k) |
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495 | CALL fft_y_1d( work, 'forward' ) |
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496 | |
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497 | ddd(0,i,k) = dy * work(0)**2 |
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498 | DO j = 1, ny/2 |
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499 | ddd(j,i,k) = dy * ( work(j)**2 + work(ny+1-j)**2 ) |
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500 | ENDDO |
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501 | |
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502 | ENDDO |
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503 | |
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504 | ! |
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505 | !-- Local sum and geometric average of these spectra |
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506 | !-- (WARNING: no global sum should be performed, because floating |
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507 | !-- point overflow may occur) |
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508 | DO j = 0, ny/2 |
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509 | |
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510 | sums_spectra_l(j) = 1.0_wp |
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511 | DO i = nxl_yd, nxr_yd |
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512 | sums_spectra_l(j) = sums_spectra_l(j) * ddd(j,i,k)**exponent |
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513 | ENDDO |
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514 | |
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515 | ENDDO |
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516 | |
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517 | ELSE |
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518 | |
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519 | sums_spectra_l = 1.0_wp |
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520 | |
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521 | ENDIF |
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522 | |
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523 | ! |
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524 | !-- Global sum of spectra on PE0 (from where they are written on file) |
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525 | sums_spectra(:,n) = 0.0_wp |
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526 | #if defined( __parallel ) |
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527 | CALL MPI_BARRIER( comm2d, ierr ) ! Necessary? |
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528 | CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), ny/2+1, & |
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529 | MPI_REAL, MPI_PROD, 0, comm2d, ierr ) |
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530 | #else |
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531 | sums_spectra(:,n) = sums_spectra_l |
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532 | #endif |
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533 | ! |
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534 | !-- Normalize spectra by variance |
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535 | sum_spec_dum = SUM( sums_spectra(:,n) ) |
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536 | IF ( SUM(sums_spectra(:,n)) /= 0.0_wp ) THEN |
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537 | sums_spectra(:,n) = sums_spectra(:,n) * var_d(k) / SUM(sums_spectra(:,n)) |
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538 | ENDIF |
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539 | n = n + 1 |
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540 | |
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541 | ENDDO |
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542 | n = n - 1 |
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543 | |
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544 | |
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545 | IF ( myid == 0 ) THEN |
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546 | ! |
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547 | !-- Sum of spectra for later averaging (see routine data_output_spectra) |
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548 | DO j = 1, ny/2 |
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549 | DO k = 1, n |
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550 | spectrum_y(j,k,m) = spectrum_y(j,k,m) + sums_spectra(j,k) |
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551 | ENDDO |
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552 | ENDDO |
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553 | |
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554 | ENDIF |
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555 | |
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556 | ! |
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557 | !-- n_sp_y is needed by data_output_spectra_y |
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558 | n_sp_y = n |
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559 | |
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560 | END SUBROUTINE calc_spectra_y |
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561 | #endif |
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