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 1997-2012 Leibniz University 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 1036 2012-10-22 13:43:42Z raasch $ |
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27 | ! |
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28 | ! 1003 2012-09-14 14:35:53Z raasch |
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29 | ! adjustment of array tend for cases with unequal subdomain sizes removed |
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30 | ! |
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31 | ! 707 2011-03-29 11:39:40Z raasch |
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32 | ! bc_lr/ns replaced by bc_lr/ns_cyc |
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33 | ! |
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34 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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35 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng for allocation |
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36 | ! of tend |
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37 | ! |
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38 | ! 274 2009-03-26 15:11:21Z heinze |
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39 | ! Output of messages replaced by message handling routine |
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40 | ! |
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41 | ! 225 2009-01-26 14:44:20Z raasch |
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42 | ! Bugfix: array d is reallocated in case that multigrid is used |
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43 | ! |
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44 | ! 192 2008-08-27 16:51:49Z letzel |
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45 | ! bugfix in calc_spectra_x: exponent = 1.0 / ( ny + 1.0 ) |
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46 | ! allow 100 spectra levels instead of 10 for consistency with |
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47 | ! define_netcdf_header |
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48 | ! user-defined spectra, arguments removed from transpose routines |
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49 | ! |
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50 | ! February 2007 |
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51 | ! RCS Log replace by Id keyword, revision history cleaned up |
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52 | ! |
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53 | ! Revision 1.9 2006/04/11 14:56:00 raasch |
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54 | ! pl_spectra renamed data_output_sp |
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55 | ! |
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56 | ! Revision 1.1 2001/01/05 15:08:07 raasch |
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57 | ! Initial revision |
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58 | ! |
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59 | ! |
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60 | ! Description: |
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61 | ! ------------ |
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62 | ! Calculate horizontal spectra along x and y. |
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63 | ! ATTENTION: 1d-decomposition along y still needs improvement, because in that |
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64 | ! case the gridpoint number along z still depends on the PE number |
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65 | ! because transpose_xz has to be used (and possibly also |
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66 | ! transpose_zyd needs modification). |
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67 | !------------------------------------------------------------------------------! |
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68 | |
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69 | #if defined( __spectra ) |
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70 | USE arrays_3d |
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71 | USE control_parameters |
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72 | USE cpulog |
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73 | USE fft_xy |
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74 | USE indices |
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75 | USE interfaces |
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76 | USE pegrid |
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77 | USE spectrum |
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78 | |
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79 | IMPLICIT NONE |
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80 | |
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81 | INTEGER :: m, pr |
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82 | |
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83 | |
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84 | CALL cpu_log( log_point(30), 'calc_spectra', 'start' ) |
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85 | |
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86 | ! |
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87 | !-- Initialize ffts |
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88 | CALL fft_init |
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89 | |
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90 | ! |
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91 | !-- Reallocate array d in required size |
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92 | IF ( psolver == 'multigrid' ) THEN |
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93 | DEALLOCATE( d ) |
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94 | ALLOCATE( d(nzb+1:nzt,nys:nyn,nxl:nxr) ) |
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95 | ENDIF |
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96 | |
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97 | m = 1 |
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98 | DO WHILE ( data_output_sp(m) /= ' ' .AND. m <= 10 ) |
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99 | ! |
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100 | !-- Transposition from z --> x ( y --> x in case of a 1d-decomposition |
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101 | !-- along x) |
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102 | IF ( INDEX( spectra_direction(m), 'x' ) /= 0 ) THEN |
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103 | |
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104 | ! |
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105 | !-- Calculation of spectra works for cyclic boundary conditions only |
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106 | IF ( .NOT. bc_lr_cyc ) THEN |
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107 | |
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108 | message_string = 'non-cyclic lateral boundaries along x do not'// & |
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109 | '& allow calculation of spectra along x' |
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110 | CALL message( 'calc_spectra', 'PA0160', 1, 2, 0, 6, 0 ) |
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111 | ENDIF |
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112 | |
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113 | CALL preprocess_spectra( m, pr ) |
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114 | |
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115 | #if defined( __parallel ) |
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116 | IF ( pdims(2) /= 1 ) THEN |
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117 | CALL transpose_zx( d, tend, d ) |
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118 | ELSE |
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119 | CALL transpose_yxd( d, tend, d ) |
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120 | ENDIF |
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121 | CALL calc_spectra_x( d, pr, m ) |
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122 | #else |
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123 | message_string = 'sorry, calculation of spectra in non parallel ' // & |
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124 | 'mode& is still not realized' |
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125 | CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 ) |
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126 | #endif |
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127 | |
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128 | ENDIF |
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129 | |
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130 | ! |
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131 | !-- Transposition from z --> y (d is rearranged only in case of a |
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132 | !-- 1d-decomposition along x) |
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133 | IF ( INDEX( spectra_direction(m), 'y' ) /= 0 ) THEN |
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134 | |
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135 | ! |
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136 | !-- Calculation of spectra works for cyclic boundary conditions only |
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137 | IF ( .NOT. bc_ns_cyc ) THEN |
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138 | IF ( myid == 0 ) THEN |
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139 | message_string = 'non-cyclic lateral boundaries along y do' // & |
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140 | ' not & allow calculation of spectra along y' |
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141 | CALL message( 'calc_spectra', 'PA0162', 1, 2, 0, 6, 0 ) |
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142 | ENDIF |
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143 | CALL local_stop |
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144 | ENDIF |
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145 | |
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146 | CALL preprocess_spectra( m, pr ) |
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147 | |
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148 | #if defined( __parallel ) |
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149 | CALL transpose_zyd( d, tend, d ) |
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150 | CALL calc_spectra_y( d, pr, m ) |
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151 | #else |
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152 | message_string = 'sorry, calculation of spectra in non parallel' // & |
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153 | 'mode& is still not realized' |
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154 | CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 ) |
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155 | #endif |
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156 | |
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157 | ENDIF |
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158 | |
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159 | ! |
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160 | !-- Increase counter for next spectrum |
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161 | m = m + 1 |
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162 | |
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163 | ENDDO |
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164 | |
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165 | ! |
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166 | !-- Increase counter for averaging process in routine plot_spectra |
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167 | average_count_sp = average_count_sp + 1 |
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168 | |
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169 | CALL cpu_log( log_point(30), 'calc_spectra', 'stop' ) |
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170 | |
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171 | #endif |
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172 | END SUBROUTINE calc_spectra |
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173 | |
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174 | |
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175 | #if defined( __spectra ) |
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176 | SUBROUTINE preprocess_spectra( m, pr ) |
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177 | |
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178 | USE arrays_3d |
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179 | USE indices |
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180 | USE pegrid |
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181 | USE spectrum |
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182 | USE statistics |
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183 | |
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184 | IMPLICIT NONE |
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185 | |
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186 | INTEGER :: i, j, k, m, pr |
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187 | |
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188 | SELECT CASE ( TRIM( data_output_sp(m) ) ) |
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189 | |
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190 | CASE ( 'u' ) |
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191 | pr = 1 |
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192 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = u(nzb+1:nzt,nys:nyn,nxl:nxr) |
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193 | |
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194 | CASE ( 'v' ) |
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195 | pr = 2 |
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196 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = v(nzb+1:nzt,nys:nyn,nxl:nxr) |
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197 | |
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198 | CASE ( 'w' ) |
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199 | pr = 3 |
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200 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = w(nzb+1:nzt,nys:nyn,nxl:nxr) |
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201 | |
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202 | CASE ( 'pt' ) |
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203 | pr = 4 |
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204 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = pt(nzb+1:nzt,nys:nyn,nxl:nxr) |
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205 | |
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206 | CASE ( 'q' ) |
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207 | pr = 41 |
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208 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = q(nzb+1:nzt,nys:nyn,nxl:nxr) |
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209 | |
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210 | CASE DEFAULT |
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211 | ! |
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212 | !-- The DEFAULT case is reached either if the parameter data_output_sp(m) |
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213 | !-- contains a wrong character string or if the user has coded a special |
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214 | !-- case in the user interface. There, the subroutine user_spectra |
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215 | !-- checks which of these two conditions applies. |
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216 | CALL user_spectra( 'preprocess', m, pr ) |
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217 | |
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218 | END SELECT |
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219 | |
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220 | ! |
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221 | !-- Subtract horizontal mean from the array, for which spectra have to be |
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222 | !-- calculated |
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223 | DO i = nxl, nxr |
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224 | DO j = nys, nyn |
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225 | DO k = nzb+1, nzt |
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226 | d(k,j,i) = d(k,j,i) - sums(k,pr) |
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227 | ENDDO |
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228 | ENDDO |
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229 | ENDDO |
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230 | |
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231 | END SUBROUTINE preprocess_spectra |
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232 | |
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233 | |
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234 | SUBROUTINE calc_spectra_x( ddd, pr, m ) |
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235 | |
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236 | USE arrays_3d |
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237 | USE constants |
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238 | USE control_parameters |
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239 | USE fft_xy |
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240 | USE grid_variables |
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241 | USE indices |
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242 | USE pegrid |
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243 | USE spectrum |
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244 | USE statistics |
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245 | USE transpose_indices |
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246 | |
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247 | IMPLICIT NONE |
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248 | |
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249 | INTEGER :: i, ishape(1), j, k, m, n, pr |
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250 | |
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251 | REAL :: fac, exponent |
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252 | REAL, DIMENSION(0:nx) :: work |
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253 | REAL, DIMENSION(0:nx/2) :: sums_spectra_l |
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254 | REAL, DIMENSION(0:nx/2,100):: sums_spectra |
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255 | |
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256 | REAL, DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: ddd |
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257 | |
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258 | ! |
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259 | !-- Exponent for geometric average |
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260 | exponent = 1.0 / ( ny + 1.0 ) |
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261 | |
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262 | ! |
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263 | !-- Loop over all levels defined by the user |
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264 | n = 1 |
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265 | DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 ) |
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266 | |
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267 | k = comp_spectra_level(n) |
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268 | |
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269 | ! |
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270 | !-- Calculate FFT only if the corresponding level is situated on this PE |
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271 | IF ( k >= nzb_x .AND. k <= nzt_x ) THEN |
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272 | |
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273 | DO j = nys_x, nyn_x |
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274 | |
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275 | work = ddd(0:nx,j,k) |
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276 | CALL fft_x( work, 'forward' ) |
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277 | |
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278 | ddd(0,j,k) = dx * work(0)**2 |
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279 | DO i = 1, nx/2 |
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280 | ddd(i,j,k) = dx * ( work(i)**2 + work(nx+1-i)**2 ) |
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281 | ENDDO |
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282 | |
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283 | ENDDO |
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284 | |
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285 | ! |
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286 | !-- Local sum and geometric average of these spectra |
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287 | !-- (WARNING: no global sum should be performed, because floating |
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288 | !-- point overflow may occur) |
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289 | DO i = 0, nx/2 |
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290 | |
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291 | sums_spectra_l(i) = 1.0 |
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292 | DO j = nys_x, nyn_x |
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293 | sums_spectra_l(i) = sums_spectra_l(i) * ddd(i,j,k)**exponent |
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294 | ENDDO |
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295 | |
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296 | ENDDO |
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297 | |
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298 | ELSE |
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299 | |
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300 | sums_spectra_l = 1.0 |
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301 | |
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302 | ENDIF |
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303 | |
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304 | ! |
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305 | !-- Global sum of spectra on PE0 (from where they are written on file) |
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306 | sums_spectra(:,n) = 0.0 |
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307 | #if defined( __parallel ) |
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308 | CALL MPI_BARRIER( comm2d, ierr ) ! Necessary? |
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309 | CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), nx/2+1, & |
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310 | MPI_REAL, MPI_PROD, 0, comm2d, ierr ) |
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311 | #else |
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312 | sums_spectra(:,n) = sums_spectra_l |
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313 | #endif |
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314 | |
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315 | n = n + 1 |
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316 | |
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317 | ENDDO |
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318 | n = n - 1 |
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319 | |
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320 | IF ( myid == 0 ) THEN |
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321 | ! |
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322 | !-- Sum of spectra for later averaging (see routine data_output_spectra) |
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323 | !-- Temperton fft results need to be normalized |
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324 | IF ( fft_method == 'temperton-algorithm' ) THEN |
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325 | fac = nx + 1.0 |
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326 | ELSE |
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327 | fac = 1.0 |
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328 | ENDIF |
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329 | DO i = 1, nx/2 |
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330 | DO k = 1, n |
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331 | spectrum_x(i,k,m) = spectrum_x(i,k,m) + sums_spectra(i,k) * fac |
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332 | ENDDO |
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333 | ENDDO |
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334 | |
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335 | ENDIF |
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336 | |
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337 | ! |
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338 | !-- n_sp_x is needed by data_output_spectra_x |
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339 | n_sp_x = n |
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340 | |
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341 | END SUBROUTINE calc_spectra_x |
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342 | |
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343 | |
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344 | SUBROUTINE calc_spectra_y( ddd, pr, m ) |
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345 | |
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346 | USE arrays_3d |
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347 | USE constants |
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348 | USE control_parameters |
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349 | USE fft_xy |
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350 | USE grid_variables |
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351 | USE indices |
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352 | USE pegrid |
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353 | USE spectrum |
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354 | USE statistics |
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355 | USE transpose_indices |
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356 | |
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357 | IMPLICIT NONE |
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358 | |
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359 | INTEGER :: i, j, jshape(1), k, m, n, pr |
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360 | |
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361 | REAL :: fac, exponent |
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362 | REAL, DIMENSION(0:ny) :: work |
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363 | REAL, DIMENSION(0:ny/2) :: sums_spectra_l |
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364 | REAL, DIMENSION(0:ny/2,100):: sums_spectra |
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365 | |
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366 | REAL, DIMENSION(0:ny,nxl_yd:nxr_yd,nzb_yd:nzt_yd) :: ddd |
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367 | |
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368 | |
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369 | ! |
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370 | !-- Exponent for geometric average |
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371 | exponent = 1.0 / ( nx + 1.0 ) |
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372 | |
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373 | ! |
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374 | !-- Loop over all levels defined by the user |
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375 | n = 1 |
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376 | DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 ) |
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377 | |
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378 | k = comp_spectra_level(n) |
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379 | |
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380 | ! |
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381 | !-- Calculate FFT only if the corresponding level is situated on this PE |
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382 | IF ( k >= nzb_yd .AND. k <= nzt_yd ) THEN |
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383 | |
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384 | DO i = nxl_yd, nxr_yd |
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385 | |
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386 | work = ddd(0:ny,i,k) |
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387 | CALL fft_y( work, 'forward' ) |
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388 | |
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389 | ddd(0,i,k) = dy * work(0)**2 |
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390 | DO j = 1, ny/2 |
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391 | ddd(j,i,k) = dy * ( work(j)**2 + work(ny+1-j)**2 ) |
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392 | ENDDO |
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393 | |
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394 | ENDDO |
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395 | |
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396 | ! |
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397 | !-- Local sum and geometric average of these spectra |
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398 | !-- (WARNING: no global sum should be performed, because floating |
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399 | !-- point overflow may occur) |
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400 | DO j = 0, ny/2 |
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401 | |
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402 | sums_spectra_l(j) = 1.0 |
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403 | DO i = nxl_yd, nxr_yd |
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404 | sums_spectra_l(j) = sums_spectra_l(j) * ddd(j,i,k)**exponent |
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405 | ENDDO |
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406 | |
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407 | ENDDO |
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408 | |
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409 | ELSE |
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410 | |
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411 | sums_spectra_l = 1.0 |
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412 | |
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413 | ENDIF |
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414 | |
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415 | ! |
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416 | !-- Global sum of spectra on PE0 (from where they are written on file) |
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417 | sums_spectra(:,n) = 0.0 |
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418 | #if defined( __parallel ) |
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419 | CALL MPI_BARRIER( comm2d, ierr ) ! Necessary? |
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420 | CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), ny/2+1, & |
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421 | MPI_REAL, MPI_PROD, 0, comm2d, ierr ) |
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422 | #else |
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423 | sums_spectra(:,n) = sums_spectra_l |
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424 | #endif |
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425 | |
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426 | n = n + 1 |
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427 | |
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428 | ENDDO |
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429 | n = n - 1 |
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430 | |
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431 | |
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432 | IF ( myid == 0 ) THEN |
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433 | ! |
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434 | !-- Sum of spectra for later averaging (see routine data_output_spectra) |
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435 | !-- Temperton fft results need to be normalized |
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436 | IF ( fft_method == 'temperton-algorithm' ) THEN |
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437 | fac = ny + 1.0 |
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438 | ELSE |
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439 | fac = 1.0 |
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440 | ENDIF |
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441 | DO j = 1, ny/2 |
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442 | DO k = 1, n |
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443 | spectrum_y(j,k,m) = spectrum_y(j,k,m) + sums_spectra(j,k) * fac |
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444 | ENDDO |
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445 | ENDDO |
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446 | |
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447 | ENDIF |
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448 | |
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449 | ! |
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450 | !-- n_sp_y is needed by data_output_spectra_y |
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451 | n_sp_y = n |
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452 | |
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453 | END SUBROUTINE calc_spectra_y |
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454 | #endif |
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