[1] | 1 | SUBROUTINE calc_spectra |
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| 2 | |
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| 3 | !------------------------------------------------------------------------------! |
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[247] | 4 | ! Current revisions: |
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[1] | 5 | ! ----------------- |
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[1003] | 6 | ! adjustment of array tend for cases with unequal subdomain sizes removed |
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[198] | 7 | ! |
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| 8 | ! Former revisions: |
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| 9 | ! ----------------- |
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| 10 | ! $Id: calc_spectra.f90 1003 2012-09-14 14:35:53Z raasch $ |
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| 11 | ! |
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[708] | 12 | ! 707 2011-03-29 11:39:40Z raasch |
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| 13 | ! bc_lr/ns replaced by bc_lr/ns_cyc |
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| 14 | ! |
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[668] | 15 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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| 16 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng for allocation |
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| 17 | ! of tend |
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| 18 | ! |
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[392] | 19 | ! 274 2009-03-26 15:11:21Z heinze |
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| 20 | ! Output of messages replaced by message handling routine |
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| 21 | ! |
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[226] | 22 | ! 225 2009-01-26 14:44:20Z raasch |
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| 23 | ! Bugfix: array d is reallocated in case that multigrid is used |
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| 24 | ! |
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[198] | 25 | ! 192 2008-08-27 16:51:49Z letzel |
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[192] | 26 | ! bugfix in calc_spectra_x: exponent = 1.0 / ( ny + 1.0 ) |
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[189] | 27 | ! allow 100 spectra levels instead of 10 for consistency with |
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| 28 | ! define_netcdf_header |
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[164] | 29 | ! user-defined spectra, arguments removed from transpose routines |
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[1] | 30 | ! |
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[198] | 31 | ! February 2007 |
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[3] | 32 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 33 | ! |
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[1] | 34 | ! Revision 1.9 2006/04/11 14:56:00 raasch |
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| 35 | ! pl_spectra renamed data_output_sp |
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| 36 | ! |
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| 37 | ! Revision 1.1 2001/01/05 15:08:07 raasch |
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| 38 | ! Initial revision |
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| 39 | ! |
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| 40 | ! |
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| 41 | ! Description: |
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| 42 | ! ------------ |
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| 43 | ! Calculate horizontal spectra along x and y. |
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| 44 | ! ATTENTION: 1d-decomposition along y still needs improvement, because in that |
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| 45 | ! case the gridpoint number along z still depends on the PE number |
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| 46 | ! because transpose_xz has to be used (and possibly also |
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| 47 | ! transpose_zyd needs modification). |
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| 48 | !------------------------------------------------------------------------------! |
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| 49 | |
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| 50 | #if defined( __spectra ) |
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| 51 | USE arrays_3d |
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| 52 | USE control_parameters |
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| 53 | USE cpulog |
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| 54 | USE fft_xy |
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| 55 | USE indices |
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| 56 | USE interfaces |
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| 57 | USE pegrid |
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| 58 | USE spectrum |
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| 59 | |
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| 60 | IMPLICIT NONE |
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| 61 | |
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| 62 | INTEGER :: m, pr |
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| 63 | |
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| 64 | |
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| 65 | CALL cpu_log( log_point(30), 'calc_spectra', 'start' ) |
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| 66 | |
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| 67 | ! |
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| 68 | !-- Initialize ffts |
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| 69 | CALL fft_init |
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| 70 | |
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| 71 | ! |
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[225] | 72 | !-- Reallocate array d in required size |
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| 73 | IF ( psolver == 'multigrid' ) THEN |
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| 74 | DEALLOCATE( d ) |
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[1003] | 75 | ALLOCATE( d(nzb+1:nzt,nys:nyn,nxl:nxr) ) |
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[225] | 76 | ENDIF |
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| 77 | |
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[1] | 78 | m = 1 |
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| 79 | DO WHILE ( data_output_sp(m) /= ' ' .AND. m <= 10 ) |
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| 80 | ! |
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| 81 | !-- Transposition from z --> x ( y --> x in case of a 1d-decomposition |
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| 82 | !-- along x) |
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| 83 | IF ( INDEX( spectra_direction(m), 'x' ) /= 0 ) THEN |
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| 84 | |
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| 85 | ! |
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| 86 | !-- Calculation of spectra works for cyclic boundary conditions only |
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[707] | 87 | IF ( .NOT. bc_lr_cyc ) THEN |
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[247] | 88 | |
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[274] | 89 | message_string = 'non-cyclic lateral boundaries along x do not'// & |
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[247] | 90 | '& allow calculation of spectra along x' |
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| 91 | CALL message( 'calc_spectra', 'PA0160', 1, 2, 0, 6, 0 ) |
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[1] | 92 | ENDIF |
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| 93 | |
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| 94 | CALL preprocess_spectra( m, pr ) |
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| 95 | |
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| 96 | #if defined( __parallel ) |
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| 97 | IF ( pdims(2) /= 1 ) THEN |
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[164] | 98 | CALL transpose_zx( d, tend, d ) |
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[1] | 99 | ELSE |
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[164] | 100 | CALL transpose_yxd( d, tend, d ) |
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[1] | 101 | ENDIF |
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| 102 | CALL calc_spectra_x( d, pr, m ) |
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| 103 | #else |
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[274] | 104 | message_string = 'sorry, calculation of spectra in non parallel ' // & |
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| 105 | 'mode& is still not realized' |
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[247] | 106 | CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 ) |
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[1] | 107 | #endif |
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| 108 | |
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| 109 | ENDIF |
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| 110 | |
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| 111 | ! |
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| 112 | !-- Transposition from z --> y (d is rearranged only in case of a |
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| 113 | !-- 1d-decomposition along x) |
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| 114 | IF ( INDEX( spectra_direction(m), 'y' ) /= 0 ) THEN |
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| 115 | |
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| 116 | ! |
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| 117 | !-- Calculation of spectra works for cyclic boundary conditions only |
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[707] | 118 | IF ( .NOT. bc_ns_cyc ) THEN |
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[1] | 119 | IF ( myid == 0 ) THEN |
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[274] | 120 | message_string = 'non-cyclic lateral boundaries along y do' // & |
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| 121 | ' not & allow calculation of spectra along y' |
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[247] | 122 | CALL message( 'calc_spectra', 'PA0162', 1, 2, 0, 6, 0 ) |
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[1] | 123 | ENDIF |
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| 124 | CALL local_stop |
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| 125 | ENDIF |
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| 126 | |
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| 127 | CALL preprocess_spectra( m, pr ) |
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| 128 | |
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| 129 | #if defined( __parallel ) |
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[164] | 130 | CALL transpose_zyd( d, tend, d ) |
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[1] | 131 | CALL calc_spectra_y( d, pr, m ) |
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| 132 | #else |
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[274] | 133 | message_string = 'sorry, calculation of spectra in non parallel' // & |
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| 134 | 'mode& is still not realized' |
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[247] | 135 | CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 ) |
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[1] | 136 | #endif |
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| 137 | |
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| 138 | ENDIF |
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| 139 | |
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| 140 | ! |
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| 141 | !-- Increase counter for next spectrum |
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| 142 | m = m + 1 |
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| 143 | |
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| 144 | ENDDO |
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| 145 | |
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| 146 | ! |
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| 147 | !-- Increase counter for averaging process in routine plot_spectra |
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| 148 | average_count_sp = average_count_sp + 1 |
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| 149 | |
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| 150 | CALL cpu_log( log_point(30), 'calc_spectra', 'stop' ) |
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| 151 | |
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| 152 | #endif |
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| 153 | END SUBROUTINE calc_spectra |
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| 154 | |
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| 155 | |
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| 156 | #if defined( __spectra ) |
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| 157 | SUBROUTINE preprocess_spectra( m, pr ) |
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| 158 | |
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| 159 | USE arrays_3d |
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| 160 | USE indices |
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| 161 | USE pegrid |
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| 162 | USE spectrum |
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| 163 | USE statistics |
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| 164 | |
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| 165 | IMPLICIT NONE |
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| 166 | |
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| 167 | INTEGER :: i, j, k, m, pr |
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| 168 | |
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| 169 | SELECT CASE ( TRIM( data_output_sp(m) ) ) |
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| 170 | |
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| 171 | CASE ( 'u' ) |
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| 172 | pr = 1 |
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| 173 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = u(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 174 | |
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| 175 | CASE ( 'v' ) |
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| 176 | pr = 2 |
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| 177 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = v(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 178 | |
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| 179 | CASE ( 'w' ) |
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| 180 | pr = 3 |
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| 181 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = w(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 182 | |
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| 183 | CASE ( 'pt' ) |
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| 184 | pr = 4 |
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| 185 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = pt(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 186 | |
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| 187 | CASE ( 'q' ) |
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| 188 | pr = 41 |
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| 189 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = q(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 190 | |
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| 191 | CASE DEFAULT |
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[144] | 192 | ! |
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| 193 | !-- The DEFAULT case is reached either if the parameter data_output_sp(m) |
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| 194 | !-- contains a wrong character string or if the user has coded a special |
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| 195 | !-- case in the user interface. There, the subroutine user_spectra |
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| 196 | !-- checks which of these two conditions applies. |
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| 197 | CALL user_spectra( 'preprocess', m, pr ) |
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[1] | 198 | |
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| 199 | END SELECT |
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| 200 | |
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| 201 | ! |
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| 202 | !-- Subtract horizontal mean from the array, for which spectra have to be |
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| 203 | !-- calculated |
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| 204 | DO i = nxl, nxr |
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| 205 | DO j = nys, nyn |
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| 206 | DO k = nzb+1, nzt |
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| 207 | d(k,j,i) = d(k,j,i) - sums(k,pr) |
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| 208 | ENDDO |
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| 209 | ENDDO |
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| 210 | ENDDO |
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| 211 | |
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| 212 | END SUBROUTINE preprocess_spectra |
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| 213 | |
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| 214 | |
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| 215 | SUBROUTINE calc_spectra_x( ddd, pr, m ) |
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| 216 | |
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| 217 | USE arrays_3d |
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| 218 | USE constants |
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| 219 | USE control_parameters |
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| 220 | USE fft_xy |
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| 221 | USE grid_variables |
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| 222 | USE indices |
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| 223 | USE pegrid |
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| 224 | USE spectrum |
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| 225 | USE statistics |
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| 226 | USE transpose_indices |
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| 227 | |
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| 228 | IMPLICIT NONE |
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| 229 | |
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| 230 | INTEGER :: i, ishape(1), j, k, m, n, pr |
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| 231 | |
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| 232 | REAL :: fac, exponent |
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| 233 | REAL, DIMENSION(0:nx) :: work |
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| 234 | REAL, DIMENSION(0:nx/2) :: sums_spectra_l |
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[189] | 235 | REAL, DIMENSION(0:nx/2,100):: sums_spectra |
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[1] | 236 | |
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[1003] | 237 | REAL, DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: ddd |
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[1] | 238 | |
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| 239 | ! |
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| 240 | !-- Exponent for geometric average |
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[192] | 241 | exponent = 1.0 / ( ny + 1.0 ) |
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[1] | 242 | |
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| 243 | ! |
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| 244 | !-- Loop over all levels defined by the user |
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| 245 | n = 1 |
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[189] | 246 | DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 ) |
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[1] | 247 | |
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| 248 | k = comp_spectra_level(n) |
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| 249 | |
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| 250 | ! |
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| 251 | !-- Calculate FFT only if the corresponding level is situated on this PE |
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| 252 | IF ( k >= nzb_x .AND. k <= nzt_x ) THEN |
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| 253 | |
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| 254 | DO j = nys_x, nyn_x |
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| 255 | |
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| 256 | work = ddd(0:nx,j,k) |
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| 257 | CALL fft_x( work, 'forward' ) |
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| 258 | |
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| 259 | ddd(0,j,k) = dx * work(0)**2 |
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| 260 | DO i = 1, nx/2 |
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| 261 | ddd(i,j,k) = dx * ( work(i)**2 + work(nx+1-i)**2 ) |
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| 262 | ENDDO |
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| 263 | |
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| 264 | ENDDO |
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| 265 | |
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| 266 | ! |
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| 267 | !-- Local sum and geometric average of these spectra |
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| 268 | !-- (WARNING: no global sum should be performed, because floating |
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| 269 | !-- point overflow may occur) |
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| 270 | DO i = 0, nx/2 |
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| 271 | |
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| 272 | sums_spectra_l(i) = 1.0 |
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| 273 | DO j = nys_x, nyn_x |
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| 274 | sums_spectra_l(i) = sums_spectra_l(i) * ddd(i,j,k)**exponent |
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| 275 | ENDDO |
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| 276 | |
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| 277 | ENDDO |
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| 278 | |
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| 279 | ELSE |
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| 280 | |
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| 281 | sums_spectra_l = 1.0 |
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| 282 | |
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| 283 | ENDIF |
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| 284 | |
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| 285 | ! |
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| 286 | !-- Global sum of spectra on PE0 (from where they are written on file) |
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| 287 | sums_spectra(:,n) = 0.0 |
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| 288 | #if defined( __parallel ) |
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| 289 | CALL MPI_BARRIER( comm2d, ierr ) ! Necessary? |
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| 290 | CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), nx/2+1, & |
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| 291 | MPI_REAL, MPI_PROD, 0, comm2d, ierr ) |
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| 292 | #else |
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| 293 | sums_spectra(:,n) = sums_spectra_l |
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| 294 | #endif |
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| 295 | |
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| 296 | n = n + 1 |
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| 297 | |
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| 298 | ENDDO |
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| 299 | n = n - 1 |
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| 300 | |
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| 301 | IF ( myid == 0 ) THEN |
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| 302 | ! |
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[146] | 303 | !-- Sum of spectra for later averaging (see routine data_output_spectra) |
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[1] | 304 | !-- Temperton fft results need to be normalized |
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| 305 | IF ( fft_method == 'temperton-algorithm' ) THEN |
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| 306 | fac = nx + 1.0 |
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| 307 | ELSE |
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| 308 | fac = 1.0 |
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| 309 | ENDIF |
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| 310 | DO i = 1, nx/2 |
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| 311 | DO k = 1, n |
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| 312 | spectrum_x(i,k,m) = spectrum_x(i,k,m) + sums_spectra(i,k) * fac |
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| 313 | ENDDO |
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| 314 | ENDDO |
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| 315 | |
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| 316 | ENDIF |
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| 317 | |
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| 318 | ! |
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[146] | 319 | !-- n_sp_x is needed by data_output_spectra_x |
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[1] | 320 | n_sp_x = n |
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| 321 | |
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| 322 | END SUBROUTINE calc_spectra_x |
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| 323 | |
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| 324 | |
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| 325 | SUBROUTINE calc_spectra_y( ddd, pr, m ) |
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| 326 | |
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| 327 | USE arrays_3d |
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| 328 | USE constants |
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| 329 | USE control_parameters |
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| 330 | USE fft_xy |
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| 331 | USE grid_variables |
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| 332 | USE indices |
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| 333 | USE pegrid |
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| 334 | USE spectrum |
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| 335 | USE statistics |
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| 336 | USE transpose_indices |
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| 337 | |
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| 338 | IMPLICIT NONE |
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| 339 | |
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| 340 | INTEGER :: i, j, jshape(1), k, m, n, pr |
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| 341 | |
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| 342 | REAL :: fac, exponent |
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| 343 | REAL, DIMENSION(0:ny) :: work |
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| 344 | REAL, DIMENSION(0:ny/2) :: sums_spectra_l |
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[189] | 345 | REAL, DIMENSION(0:ny/2,100):: sums_spectra |
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[1] | 346 | |
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[1003] | 347 | REAL, DIMENSION(0:ny,nxl_yd:nxr_yd,nzb_yd:nzt_yd) :: ddd |
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[1] | 348 | |
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| 349 | |
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| 350 | ! |
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| 351 | !-- Exponent for geometric average |
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| 352 | exponent = 1.0 / ( nx + 1.0 ) |
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| 353 | |
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| 354 | ! |
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| 355 | !-- Loop over all levels defined by the user |
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| 356 | n = 1 |
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[189] | 357 | DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 ) |
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[1] | 358 | |
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| 359 | k = comp_spectra_level(n) |
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| 360 | |
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| 361 | ! |
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| 362 | !-- Calculate FFT only if the corresponding level is situated on this PE |
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| 363 | IF ( k >= nzb_yd .AND. k <= nzt_yd ) THEN |
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| 364 | |
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| 365 | DO i = nxl_yd, nxr_yd |
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| 366 | |
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| 367 | work = ddd(0:ny,i,k) |
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| 368 | CALL fft_y( work, 'forward' ) |
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| 369 | |
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| 370 | ddd(0,i,k) = dy * work(0)**2 |
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| 371 | DO j = 1, ny/2 |
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| 372 | ddd(j,i,k) = dy * ( work(j)**2 + work(ny+1-j)**2 ) |
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| 373 | ENDDO |
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| 374 | |
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| 375 | ENDDO |
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| 376 | |
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| 377 | ! |
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| 378 | !-- Local sum and geometric average of these spectra |
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| 379 | !-- (WARNING: no global sum should be performed, because floating |
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| 380 | !-- point overflow may occur) |
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| 381 | DO j = 0, ny/2 |
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| 382 | |
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| 383 | sums_spectra_l(j) = 1.0 |
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| 384 | DO i = nxl_yd, nxr_yd |
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| 385 | sums_spectra_l(j) = sums_spectra_l(j) * ddd(j,i,k)**exponent |
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| 386 | ENDDO |
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| 387 | |
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| 388 | ENDDO |
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| 389 | |
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| 390 | ELSE |
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| 391 | |
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| 392 | sums_spectra_l = 1.0 |
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| 393 | |
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| 394 | ENDIF |
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| 395 | |
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| 396 | ! |
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| 397 | !-- Global sum of spectra on PE0 (from where they are written on file) |
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| 398 | sums_spectra(:,n) = 0.0 |
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| 399 | #if defined( __parallel ) |
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| 400 | CALL MPI_BARRIER( comm2d, ierr ) ! Necessary? |
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| 401 | CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), ny/2+1, & |
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| 402 | MPI_REAL, MPI_PROD, 0, comm2d, ierr ) |
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| 403 | #else |
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| 404 | sums_spectra(:,n) = sums_spectra_l |
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| 405 | #endif |
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| 406 | |
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| 407 | n = n + 1 |
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| 408 | |
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| 409 | ENDDO |
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| 410 | n = n - 1 |
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| 411 | |
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| 412 | |
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| 413 | IF ( myid == 0 ) THEN |
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| 414 | ! |
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[146] | 415 | !-- Sum of spectra for later averaging (see routine data_output_spectra) |
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[1] | 416 | !-- Temperton fft results need to be normalized |
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| 417 | IF ( fft_method == 'temperton-algorithm' ) THEN |
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| 418 | fac = ny + 1.0 |
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| 419 | ELSE |
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| 420 | fac = 1.0 |
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| 421 | ENDIF |
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| 422 | DO j = 1, ny/2 |
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| 423 | DO k = 1, n |
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| 424 | spectrum_y(j,k,m) = spectrum_y(j,k,m) + sums_spectra(j,k) * fac |
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| 425 | ENDDO |
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| 426 | ENDDO |
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| 427 | |
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| 428 | ENDIF |
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| 429 | |
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| 430 | ! |
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[146] | 431 | !-- n_sp_y is needed by data_output_spectra_y |
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[1] | 432 | n_sp_y = n |
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| 433 | |
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| 434 | END SUBROUTINE calc_spectra_y |
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| 435 | #endif |
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