| 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 1343 2014-03-26 17:07:58Z maronga $ |
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| 27 | ! |
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| 28 | ! 1342 2014-03-26 17:04:47Z kanani |
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| 29 | ! REAL constants defined as wp-kinds |
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| 30 | ! |
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| 31 | ! 1324 2014-03-21 09:13:16Z suehring |
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| 32 | ! Bugfix: nzb_x, nzb_yd, nyn_x, nyn_x, nzt_x, nzt_yd belong to transpose_indices |
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| 33 | ! |
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| 34 | ! 1320 2014-03-20 08:40:49Z raasch |
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| 35 | ! ONLY-attribute added to USE-statements, |
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| 36 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 37 | ! kinds are defined in new module kinds, |
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| 38 | ! revision history before 2012 removed, |
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| 39 | ! comment fields (!:) to be used for variable explanations added to |
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| 40 | ! all variable declaration statements |
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| 41 | ! |
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| 42 | ! 1318 2014-03-17 13:35:16Z raasch |
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| 43 | ! module interfaces removed |
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| 44 | ! |
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| 45 | ! 1216 2013-08-26 09:31:42Z raasch |
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| 46 | ! resorting of array moved to separate routine resort_for_zx, |
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| 47 | ! one argument removed from the transpose_..d routines |
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| 48 | ! |
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| 49 | ! 1120 2013-04-05 15:11:35Z raasch |
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| 50 | ! bugfix: calls of fft_x|y replaced by fft_x|y_1d |
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| 51 | ! |
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| 52 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 53 | ! code put under GPL (PALM 3.9) |
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| 54 | ! |
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| 55 | ! 1003 2012-09-14 14:35:53Z raasch |
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| 56 | ! adjustment of array tend for cases with unequal subdomain sizes removed |
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| 57 | ! |
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| 58 | ! Revision 1.1 2001/01/05 15:08:07 raasch |
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| 59 | ! Initial revision |
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| 60 | ! |
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| 61 | ! |
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| 62 | ! Description: |
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| 63 | ! ------------ |
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| 64 | ! Calculate horizontal spectra along x and y. |
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| 65 | ! ATTENTION: 1d-decomposition along y still needs improvement, because in that |
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| 66 | ! case the gridpoint number along z still depends on the PE number |
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| 67 | ! because transpose_xz has to be used (and possibly also |
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| 68 | ! transpose_zyd needs modification). |
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| 69 | !------------------------------------------------------------------------------! |
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| 70 | |
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| 71 | #if defined( __spectra ) |
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| 72 | USE arrays_3d, & |
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| 73 | ONLY: d, tend |
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| 74 | |
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| 75 | USE control_parameters, & |
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| 76 | ONLY: average_count_sp, bc_lr_cyc, bc_ns_cyc, message_string, psolver |
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| 77 | |
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| 78 | USE cpulog, & |
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| 79 | ONLY: cpu_log, log_point |
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| 80 | |
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| 81 | USE fft_xy, & |
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| 82 | ONLY: fft_init |
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| 83 | |
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| 84 | USE indices, & |
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| 85 | ONLY: nxl, nxr, nyn, nys, nzb, nzt |
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| 86 | |
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| 87 | USE kinds |
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| 88 | |
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| 89 | USE pegrid |
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| 90 | |
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| 91 | USE spectrum, & |
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| 92 | ONLY: data_output_sp, spectra_direction |
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| 93 | |
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| 94 | |
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| 95 | IMPLICIT NONE |
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| 96 | |
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| 97 | INTEGER(iwp) :: m !: |
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| 98 | INTEGER(iwp) :: pr !: |
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| 99 | |
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| 100 | |
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| 101 | CALL cpu_log( log_point(30), 'calc_spectra', 'start' ) |
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| 102 | |
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| 103 | ! |
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| 104 | !-- Initialize ffts |
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| 105 | CALL fft_init |
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| 106 | |
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| 107 | ! |
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| 108 | !-- Reallocate array d in required size |
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| 109 | IF ( psolver == 'multigrid' ) THEN |
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| 110 | DEALLOCATE( d ) |
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| 111 | ALLOCATE( d(nzb+1:nzt,nys:nyn,nxl:nxr) ) |
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| 112 | ENDIF |
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| 113 | |
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| 114 | m = 1 |
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| 115 | DO WHILE ( data_output_sp(m) /= ' ' .AND. m <= 10 ) |
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| 116 | ! |
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| 117 | !-- Transposition from z --> x ( y --> x in case of a 1d-decomposition |
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| 118 | !-- along x) |
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| 119 | IF ( INDEX( spectra_direction(m), 'x' ) /= 0 ) THEN |
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| 120 | |
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| 121 | ! |
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| 122 | !-- Calculation of spectra works for cyclic boundary conditions only |
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| 123 | IF ( .NOT. bc_lr_cyc ) THEN |
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| 124 | |
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| 125 | message_string = 'non-cyclic lateral boundaries along x do not'// & |
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| 126 | '& allow calculation of spectra along x' |
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| 127 | CALL message( 'calc_spectra', 'PA0160', 1, 2, 0, 6, 0 ) |
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| 128 | ENDIF |
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| 129 | |
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| 130 | CALL preprocess_spectra( m, pr ) |
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| 131 | |
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| 132 | #if defined( __parallel ) |
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| 133 | IF ( pdims(2) /= 1 ) THEN |
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| 134 | CALL resort_for_zx( d, tend ) |
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| 135 | CALL transpose_zx( tend, d ) |
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| 136 | ELSE |
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| 137 | CALL transpose_yxd( d, d ) |
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| 138 | ENDIF |
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| 139 | CALL calc_spectra_x( d, pr, m ) |
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| 140 | #else |
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| 141 | message_string = 'sorry, calculation of spectra in non parallel ' // & |
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| 142 | 'mode& is still not realized' |
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| 143 | CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 ) |
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| 144 | #endif |
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| 145 | |
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| 146 | ENDIF |
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| 147 | |
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| 148 | ! |
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| 149 | !-- Transposition from z --> y (d is rearranged only in case of a |
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| 150 | !-- 1d-decomposition along x) |
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| 151 | IF ( INDEX( spectra_direction(m), 'y' ) /= 0 ) THEN |
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| 152 | |
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| 153 | ! |
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| 154 | !-- Calculation of spectra works for cyclic boundary conditions only |
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| 155 | IF ( .NOT. bc_ns_cyc ) THEN |
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| 156 | IF ( myid == 0 ) THEN |
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| 157 | message_string = 'non-cyclic lateral boundaries along y do' // & |
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| 158 | ' not & allow calculation of spectra along y' |
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| 159 | CALL message( 'calc_spectra', 'PA0162', 1, 2, 0, 6, 0 ) |
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| 160 | ENDIF |
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| 161 | CALL local_stop |
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| 162 | ENDIF |
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| 163 | |
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| 164 | CALL preprocess_spectra( m, pr ) |
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| 165 | |
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| 166 | #if defined( __parallel ) |
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| 167 | CALL transpose_zyd( d, d ) |
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| 168 | CALL calc_spectra_y( d, pr, m ) |
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| 169 | #else |
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| 170 | message_string = 'sorry, calculation of spectra in non parallel' // & |
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| 171 | 'mode& is still not realized' |
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| 172 | CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 ) |
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| 173 | #endif |
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| 174 | |
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| 175 | ENDIF |
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| 176 | |
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| 177 | ! |
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| 178 | !-- Increase counter for next spectrum |
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| 179 | m = m + 1 |
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| 180 | |
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| 181 | ENDDO |
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| 182 | |
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| 183 | ! |
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| 184 | !-- Increase counter for averaging process in routine plot_spectra |
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| 185 | average_count_sp = average_count_sp + 1 |
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| 186 | |
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| 187 | CALL cpu_log( log_point(30), 'calc_spectra', 'stop' ) |
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| 188 | |
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| 189 | #endif |
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| 190 | END SUBROUTINE calc_spectra |
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| 191 | |
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| 192 | |
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| 193 | #if defined( __spectra ) |
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| 194 | SUBROUTINE preprocess_spectra( m, pr ) |
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| 195 | |
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| 196 | USE arrays_3d, & |
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| 197 | ONLY: d, pt, q, u, v, w |
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| 198 | |
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| 199 | USE indices, & |
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| 200 | ONLY: nxl, nxr, nyn, nys, nzb, nzt |
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| 201 | |
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| 202 | USE kinds |
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| 203 | |
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| 204 | USE pegrid |
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| 205 | |
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| 206 | USE spectrum, & |
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| 207 | ONLY: data_output_sp |
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| 208 | |
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| 209 | USE statistics, & |
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| 210 | ONLY: sums |
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| 211 | |
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| 212 | |
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| 213 | IMPLICIT NONE |
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| 214 | |
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| 215 | INTEGER(iwp) :: i !: |
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| 216 | INTEGER(iwp) :: j !: |
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| 217 | INTEGER(iwp) :: k !: |
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| 218 | INTEGER(iwp) :: m !: |
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| 219 | INTEGER(iwp) :: pr !: |
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| 220 | |
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| 221 | SELECT CASE ( TRIM( data_output_sp(m) ) ) |
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| 222 | |
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| 223 | CASE ( 'u' ) |
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| 224 | pr = 1 |
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| 225 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = u(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 226 | |
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| 227 | CASE ( 'v' ) |
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| 228 | pr = 2 |
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| 229 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = v(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 230 | |
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| 231 | CASE ( 'w' ) |
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| 232 | pr = 3 |
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| 233 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = w(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 234 | |
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| 235 | CASE ( 'pt' ) |
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| 236 | pr = 4 |
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| 237 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = pt(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 238 | |
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| 239 | CASE ( 'q' ) |
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| 240 | pr = 41 |
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| 241 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = q(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 242 | |
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| 243 | CASE DEFAULT |
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| 244 | ! |
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| 245 | !-- The DEFAULT case is reached either if the parameter data_output_sp(m) |
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| 246 | !-- contains a wrong character string or if the user has coded a special |
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| 247 | !-- case in the user interface. There, the subroutine user_spectra |
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| 248 | !-- checks which of these two conditions applies. |
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| 249 | CALL user_spectra( 'preprocess', m, pr ) |
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| 250 | |
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| 251 | END SELECT |
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| 252 | |
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| 253 | ! |
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| 254 | !-- Subtract horizontal mean from the array, for which spectra have to be |
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| 255 | !-- calculated |
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| 256 | DO i = nxl, nxr |
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| 257 | DO j = nys, nyn |
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| 258 | DO k = nzb+1, nzt |
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| 259 | d(k,j,i) = d(k,j,i) - sums(k,pr) |
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| 260 | ENDDO |
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| 261 | ENDDO |
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| 262 | ENDDO |
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| 263 | |
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| 264 | END SUBROUTINE preprocess_spectra |
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| 265 | |
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| 266 | |
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| 267 | SUBROUTINE calc_spectra_x( ddd, pr, m ) |
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| 268 | |
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| 269 | USE arrays_3d, & |
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| 270 | ONLY: |
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| 271 | |
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| 272 | USE control_parameters, & |
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| 273 | ONLY: fft_method |
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| 274 | |
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| 275 | USE fft_xy, & |
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| 276 | ONLY: fft_x_1d |
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| 277 | |
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| 278 | USE grid_variables, & |
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| 279 | ONLY: dx |
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| 280 | |
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| 281 | USE indices, & |
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| 282 | ONLY: nx, ny |
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| 283 | |
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| 284 | USE kinds |
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| 285 | |
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| 286 | USE pegrid |
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| 287 | |
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| 288 | USE spectrum, & |
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| 289 | ONLY: comp_spectra_level, n_sp_x |
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| 290 | |
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| 291 | USE statistics, & |
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| 292 | ONLY: spectrum_x |
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| 293 | |
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| 294 | USE transpose_indices, & |
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| 295 | ONLY: nyn_x, nys_x, nzb_x, nzt_x |
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| 296 | |
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| 297 | |
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| 298 | IMPLICIT NONE |
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| 299 | |
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| 300 | INTEGER(iwp) :: i !: |
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| 301 | INTEGER(iwp) :: ishape(1) !: |
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| 302 | INTEGER(iwp) :: j !: |
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| 303 | INTEGER(iwp) :: k !: |
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| 304 | INTEGER(iwp) :: m !: |
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| 305 | INTEGER(iwp) :: n !: |
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| 306 | INTEGER(iwp) :: pr !: |
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| 307 | |
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| 308 | REAL(wp) :: fac !: |
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| 309 | REAL(wp) :: exponent !: |
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| 310 | |
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| 311 | REAL(wp), DIMENSION(0:nx) :: work !: |
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| 312 | |
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| 313 | REAL(wp), DIMENSION(0:nx/2) :: sums_spectra_l !: |
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| 314 | |
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| 315 | REAL(wp), DIMENSION(0:nx/2,100) :: sums_spectra !: |
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| 316 | |
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| 317 | REAL(wp), DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: ddd !: |
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| 318 | |
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| 319 | ! |
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| 320 | !-- Exponent for geometric average |
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| 321 | exponent = 1.0_wp / ( ny + 1.0_wp ) |
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| 322 | |
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| 323 | ! |
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| 324 | !-- Loop over all levels defined by the user |
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| 325 | n = 1 |
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| 326 | DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 ) |
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| 327 | |
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| 328 | k = comp_spectra_level(n) |
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| 329 | |
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| 330 | ! |
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| 331 | !-- Calculate FFT only if the corresponding level is situated on this PE |
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| 332 | IF ( k >= nzb_x .AND. k <= nzt_x ) THEN |
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| 333 | |
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| 334 | DO j = nys_x, nyn_x |
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| 335 | |
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| 336 | work = ddd(0:nx,j,k) |
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| 337 | CALL fft_x_1d( work, 'forward' ) |
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| 338 | |
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| 339 | ddd(0,j,k) = dx * work(0)**2 |
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| 340 | DO i = 1, nx/2 |
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| 341 | ddd(i,j,k) = dx * ( work(i)**2 + work(nx+1-i)**2 ) |
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| 342 | ENDDO |
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| 343 | |
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| 344 | ENDDO |
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| 345 | |
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| 346 | ! |
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| 347 | !-- Local sum and geometric average of these spectra |
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| 348 | !-- (WARNING: no global sum should be performed, because floating |
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| 349 | !-- point overflow may occur) |
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| 350 | DO i = 0, nx/2 |
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| 351 | |
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| 352 | sums_spectra_l(i) = 1.0_wp |
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| 353 | DO j = nys_x, nyn_x |
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| 354 | sums_spectra_l(i) = sums_spectra_l(i) * ddd(i,j,k)**exponent |
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| 355 | ENDDO |
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| 356 | |
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| 357 | ENDDO |
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| 358 | |
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| 359 | ELSE |
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| 360 | |
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| 361 | sums_spectra_l = 1.0_wp |
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| 362 | |
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| 363 | ENDIF |
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| 364 | |
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| 365 | ! |
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| 366 | !-- Global sum of spectra on PE0 (from where they are written on file) |
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| 367 | sums_spectra(:,n) = 0.0_wp |
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| 368 | #if defined( __parallel ) |
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| 369 | CALL MPI_BARRIER( comm2d, ierr ) ! Necessary? |
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| 370 | CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), nx/2+1, & |
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| 371 | MPI_REAL, MPI_PROD, 0, comm2d, ierr ) |
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| 372 | #else |
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| 373 | sums_spectra(:,n) = sums_spectra_l |
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| 374 | #endif |
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| 375 | |
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| 376 | n = n + 1 |
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| 377 | |
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| 378 | ENDDO |
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| 379 | n = n - 1 |
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| 380 | |
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| 381 | IF ( myid == 0 ) THEN |
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| 382 | ! |
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| 383 | !-- Sum of spectra for later averaging (see routine data_output_spectra) |
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| 384 | !-- Temperton fft results need to be normalized |
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| 385 | IF ( fft_method == 'temperton-algorithm' ) THEN |
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| 386 | fac = nx + 1.0_wp |
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| 387 | ELSE |
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| 388 | fac = 1.0_wp |
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| 389 | ENDIF |
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| 390 | DO i = 1, nx/2 |
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| 391 | DO k = 1, n |
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| 392 | spectrum_x(i,k,m) = spectrum_x(i,k,m) + sums_spectra(i,k) * fac |
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| 393 | ENDDO |
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| 394 | ENDDO |
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| 395 | |
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| 396 | ENDIF |
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| 397 | |
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| 398 | ! |
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| 399 | !-- n_sp_x is needed by data_output_spectra_x |
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| 400 | n_sp_x = n |
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| 401 | |
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| 402 | END SUBROUTINE calc_spectra_x |
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| 403 | |
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| 404 | |
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| 405 | SUBROUTINE calc_spectra_y( ddd, pr, m ) |
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| 406 | |
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| 407 | USE arrays_3d, & |
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| 408 | ONLY: |
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| 409 | |
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| 410 | USE control_parameters, & |
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| 411 | ONLY: fft_method |
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| 412 | |
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| 413 | USE fft_xy, & |
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| 414 | ONLY: fft_y_1d |
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| 415 | |
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| 416 | USE grid_variables, & |
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| 417 | ONLY: dy |
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| 418 | |
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| 419 | USE indices, & |
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| 420 | ONLY: nx, ny |
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| 421 | |
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| 422 | USE kinds |
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| 423 | |
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| 424 | USE pegrid |
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| 425 | |
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| 426 | USE spectrum, & |
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| 427 | ONLY: comp_spectra_level, n_sp_y |
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| 428 | |
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| 429 | USE statistics, & |
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| 430 | ONLY: spectrum_y |
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| 431 | |
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| 432 | USE transpose_indices, & |
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| 433 | ONLY: nxl_yd, nxr_yd, nzb_yd, nzt_yd |
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| 434 | |
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| 435 | |
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| 436 | IMPLICIT NONE |
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| 437 | |
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| 438 | INTEGER(iwp) :: i !: |
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| 439 | INTEGER(iwp) :: j !: |
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| 440 | INTEGER(iwp) :: jshape(1) !: |
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| 441 | INTEGER(iwp) :: k !: |
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| 442 | INTEGER(iwp) :: m !: |
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| 443 | INTEGER(iwp) :: n !: |
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| 444 | INTEGER(iwp) :: pr !: |
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| 445 | |
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| 446 | REAL(wp) :: fac !: |
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| 447 | REAL(wp) :: exponent !: |
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| 448 | |
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| 449 | REAL(wp), DIMENSION(0:ny) :: work !: |
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| 450 | |
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| 451 | REAL(wp), DIMENSION(0:ny/2) :: sums_spectra_l !: |
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| 452 | |
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| 453 | REAL(wp), DIMENSION(0:ny/2,100) :: sums_spectra !: |
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| 454 | |
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| 455 | REAL(wp), DIMENSION(0:ny,nxl_yd:nxr_yd,nzb_yd:nzt_yd) :: ddd !: |
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| 456 | |
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| 457 | |
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| 458 | ! |
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| 459 | !-- Exponent for geometric average |
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| 460 | exponent = 1.0_wp / ( nx + 1.0_wp ) |
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| 461 | |
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| 462 | ! |
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| 463 | !-- Loop over all levels defined by the user |
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| 464 | n = 1 |
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| 465 | DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 ) |
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| 466 | |
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| 467 | k = comp_spectra_level(n) |
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| 468 | |
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| 469 | ! |
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| 470 | !-- Calculate FFT only if the corresponding level is situated on this PE |
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| 471 | IF ( k >= nzb_yd .AND. k <= nzt_yd ) THEN |
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| 472 | |
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| 473 | DO i = nxl_yd, nxr_yd |
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| 474 | |
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| 475 | work = ddd(0:ny,i,k) |
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| 476 | CALL fft_y_1d( work, 'forward' ) |
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| 477 | |
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| 478 | ddd(0,i,k) = dy * work(0)**2 |
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| 479 | DO j = 1, ny/2 |
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| 480 | ddd(j,i,k) = dy * ( work(j)**2 + work(ny+1-j)**2 ) |
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| 481 | ENDDO |
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| 482 | |
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| 483 | ENDDO |
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| 484 | |
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| 485 | ! |
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| 486 | !-- Local sum and geometric average of these spectra |
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| 487 | !-- (WARNING: no global sum should be performed, because floating |
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| 488 | !-- point overflow may occur) |
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| 489 | DO j = 0, ny/2 |
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| 490 | |
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| 491 | sums_spectra_l(j) = 1.0_wp |
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| 492 | DO i = nxl_yd, nxr_yd |
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| 493 | sums_spectra_l(j) = sums_spectra_l(j) * ddd(j,i,k)**exponent |
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| 494 | ENDDO |
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| 495 | |
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| 496 | ENDDO |
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| 497 | |
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| 498 | ELSE |
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| 499 | |
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| 500 | sums_spectra_l = 1.0_wp |
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| 501 | |
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| 502 | ENDIF |
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| 503 | |
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| 504 | ! |
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| 505 | !-- Global sum of spectra on PE0 (from where they are written on file) |
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| 506 | sums_spectra(:,n) = 0.0_wp |
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| 507 | #if defined( __parallel ) |
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| 508 | CALL MPI_BARRIER( comm2d, ierr ) ! Necessary? |
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| 509 | CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), ny/2+1, & |
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| 510 | MPI_REAL, MPI_PROD, 0, comm2d, ierr ) |
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| 511 | #else |
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| 512 | sums_spectra(:,n) = sums_spectra_l |
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| 513 | #endif |
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| 514 | |
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| 515 | n = n + 1 |
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| 516 | |
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| 517 | ENDDO |
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| 518 | n = n - 1 |
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| 519 | |
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| 520 | |
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| 521 | IF ( myid == 0 ) THEN |
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| 522 | ! |
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| 523 | !-- Sum of spectra for later averaging (see routine data_output_spectra) |
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| 524 | !-- Temperton fft results need to be normalized |
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| 525 | IF ( fft_method == 'temperton-algorithm' ) THEN |
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| 526 | fac = ny + 1.0_wp |
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| 527 | ELSE |
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| 528 | fac = 1.0_wp |
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| 529 | ENDIF |
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| 530 | DO j = 1, ny/2 |
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| 531 | DO k = 1, n |
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| 532 | spectrum_y(j,k,m) = spectrum_y(j,k,m) + sums_spectra(j,k) * fac |
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| 533 | ENDDO |
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| 534 | ENDDO |
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| 535 | |
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| 536 | ENDIF |
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| 537 | |
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| 538 | ! |
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| 539 | !-- n_sp_y is needed by data_output_spectra_y |
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| 540 | n_sp_y = n |
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| 541 | |
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| 542 | END SUBROUTINE calc_spectra_y |
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| 543 | #endif |
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