[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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[707] | 6 | ! bc_lr/ns replaced by bc_lr/ns_cyc |
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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 707 2011-03-29 11:39:40Z raasch $ |
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| 11 | ! |
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[668] | 12 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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| 13 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng for allocation |
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| 14 | ! of tend |
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| 15 | ! |
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[392] | 16 | ! 274 2009-03-26 15:11:21Z heinze |
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| 17 | ! Output of messages replaced by message handling routine |
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| 18 | ! |
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[226] | 19 | ! 225 2009-01-26 14:44:20Z raasch |
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| 20 | ! Bugfix: array d is reallocated in case that multigrid is used |
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| 21 | ! |
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[198] | 22 | ! 192 2008-08-27 16:51:49Z letzel |
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[192] | 23 | ! bugfix in calc_spectra_x: exponent = 1.0 / ( ny + 1.0 ) |
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[189] | 24 | ! allow 100 spectra levels instead of 10 for consistency with |
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| 25 | ! define_netcdf_header |
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[164] | 26 | ! user-defined spectra, arguments removed from transpose routines |
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[1] | 27 | ! |
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[198] | 28 | ! February 2007 |
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[3] | 29 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 30 | ! |
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[1] | 31 | ! Revision 1.9 2006/04/11 14:56:00 raasch |
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| 32 | ! pl_spectra renamed data_output_sp |
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| 33 | ! |
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| 34 | ! Revision 1.1 2001/01/05 15:08:07 raasch |
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| 35 | ! Initial revision |
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| 36 | ! |
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| 37 | ! |
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| 38 | ! Description: |
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| 39 | ! ------------ |
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| 40 | ! Calculate horizontal spectra along x and y. |
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| 41 | ! ATTENTION: 1d-decomposition along y still needs improvement, because in that |
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| 42 | ! case the gridpoint number along z still depends on the PE number |
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| 43 | ! because transpose_xz has to be used (and possibly also |
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| 44 | ! transpose_zyd needs modification). |
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| 45 | !------------------------------------------------------------------------------! |
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| 46 | |
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| 47 | #if defined( __spectra ) |
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| 48 | USE arrays_3d |
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| 49 | USE control_parameters |
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| 50 | USE cpulog |
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| 51 | USE fft_xy |
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| 52 | USE indices |
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| 53 | USE interfaces |
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| 54 | USE pegrid |
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| 55 | USE spectrum |
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| 56 | |
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| 57 | IMPLICIT NONE |
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| 58 | |
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| 59 | INTEGER :: m, pr |
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| 60 | |
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| 61 | |
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| 62 | CALL cpu_log( log_point(30), 'calc_spectra', 'start' ) |
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| 63 | |
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| 64 | ! |
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| 65 | !-- Initialize ffts |
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| 66 | CALL fft_init |
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| 67 | |
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| 68 | ! |
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[225] | 69 | !-- Reallocate array d in required size |
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| 70 | IF ( psolver == 'multigrid' ) THEN |
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| 71 | DEALLOCATE( d ) |
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| 72 | ALLOCATE( d(nzb+1:nzta,nys:nyna,nxl:nxra) ) |
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| 73 | ENDIF |
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| 74 | |
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| 75 | ! |
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[1] | 76 | !-- Enlarge the size of tend, used as a working array for the transpositions |
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| 77 | IF ( nxra > nxr .OR. nyna > nyn .OR. nza > nz ) THEN |
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| 78 | DEALLOCATE( tend ) |
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| 79 | ALLOCATE( tend(1:nza,nys:nyna,nxl:nxra) ) |
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| 80 | ENDIF |
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| 81 | |
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| 82 | m = 1 |
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| 83 | DO WHILE ( data_output_sp(m) /= ' ' .AND. m <= 10 ) |
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| 84 | ! |
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| 85 | !-- Transposition from z --> x ( y --> x in case of a 1d-decomposition |
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| 86 | !-- along x) |
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| 87 | IF ( INDEX( spectra_direction(m), 'x' ) /= 0 ) THEN |
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| 88 | |
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| 89 | ! |
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| 90 | !-- Calculation of spectra works for cyclic boundary conditions only |
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[707] | 91 | IF ( .NOT. bc_lr_cyc ) THEN |
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[247] | 92 | |
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[274] | 93 | message_string = 'non-cyclic lateral boundaries along x do not'// & |
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[247] | 94 | '& allow calculation of spectra along x' |
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| 95 | CALL message( 'calc_spectra', 'PA0160', 1, 2, 0, 6, 0 ) |
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[1] | 96 | ENDIF |
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| 97 | |
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| 98 | CALL preprocess_spectra( m, pr ) |
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| 99 | |
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| 100 | #if defined( __parallel ) |
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| 101 | IF ( pdims(2) /= 1 ) THEN |
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[164] | 102 | CALL transpose_zx( d, tend, d ) |
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[1] | 103 | ELSE |
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[164] | 104 | CALL transpose_yxd( d, tend, d ) |
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[1] | 105 | ENDIF |
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| 106 | CALL calc_spectra_x( d, pr, m ) |
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| 107 | #else |
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[274] | 108 | message_string = 'sorry, calculation of spectra in non parallel ' // & |
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| 109 | 'mode& is still not realized' |
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[247] | 110 | CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 ) |
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[1] | 111 | #endif |
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| 112 | |
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| 113 | ENDIF |
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| 114 | |
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| 115 | ! |
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| 116 | !-- Transposition from z --> y (d is rearranged only in case of a |
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| 117 | !-- 1d-decomposition along x) |
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| 118 | IF ( INDEX( spectra_direction(m), 'y' ) /= 0 ) THEN |
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| 119 | |
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| 120 | ! |
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| 121 | !-- Calculation of spectra works for cyclic boundary conditions only |
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[707] | 122 | IF ( .NOT. bc_ns_cyc ) THEN |
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[1] | 123 | IF ( myid == 0 ) THEN |
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[274] | 124 | message_string = 'non-cyclic lateral boundaries along y do' // & |
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| 125 | ' not & allow calculation of spectra along y' |
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[247] | 126 | CALL message( 'calc_spectra', 'PA0162', 1, 2, 0, 6, 0 ) |
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[1] | 127 | ENDIF |
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| 128 | CALL local_stop |
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| 129 | ENDIF |
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| 130 | |
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| 131 | CALL preprocess_spectra( m, pr ) |
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| 132 | |
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| 133 | #if defined( __parallel ) |
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[164] | 134 | CALL transpose_zyd( d, tend, d ) |
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[1] | 135 | CALL calc_spectra_y( d, pr, m ) |
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| 136 | #else |
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[274] | 137 | message_string = 'sorry, calculation of spectra in non parallel' // & |
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| 138 | 'mode& is still not realized' |
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[247] | 139 | CALL message( 'calc_spectra', 'PA0161', 1, 2, 0, 6, 0 ) |
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[1] | 140 | #endif |
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| 141 | |
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| 142 | ENDIF |
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| 143 | |
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| 144 | ! |
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| 145 | !-- Increase counter for next spectrum |
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| 146 | m = m + 1 |
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| 147 | |
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| 148 | ENDDO |
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| 149 | |
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| 150 | ! |
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| 151 | !-- Increase counter for averaging process in routine plot_spectra |
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| 152 | average_count_sp = average_count_sp + 1 |
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| 153 | |
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| 154 | ! |
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| 155 | !-- Resize tend to its normal size |
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| 156 | IF ( nxra > nxr .OR. nyna > nyn .OR. nza > nz ) THEN |
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| 157 | DEALLOCATE( tend ) |
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[667] | 158 | ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
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[1] | 159 | ENDIF |
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| 160 | |
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| 161 | CALL cpu_log( log_point(30), 'calc_spectra', 'stop' ) |
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| 162 | |
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| 163 | #endif |
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| 164 | END SUBROUTINE calc_spectra |
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| 165 | |
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| 166 | |
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| 167 | #if defined( __spectra ) |
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| 168 | SUBROUTINE preprocess_spectra( m, pr ) |
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| 169 | |
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| 170 | USE arrays_3d |
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| 171 | USE indices |
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| 172 | USE pegrid |
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| 173 | USE spectrum |
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| 174 | USE statistics |
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| 175 | |
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| 176 | IMPLICIT NONE |
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| 177 | |
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| 178 | INTEGER :: i, j, k, m, pr |
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| 179 | |
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| 180 | SELECT CASE ( TRIM( data_output_sp(m) ) ) |
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| 181 | |
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| 182 | CASE ( 'u' ) |
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| 183 | pr = 1 |
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| 184 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = u(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 185 | |
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| 186 | CASE ( 'v' ) |
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| 187 | pr = 2 |
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| 188 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = v(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 189 | |
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| 190 | CASE ( 'w' ) |
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| 191 | pr = 3 |
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| 192 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = w(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 193 | |
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| 194 | CASE ( 'pt' ) |
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| 195 | pr = 4 |
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| 196 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = pt(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 197 | |
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| 198 | CASE ( 'q' ) |
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| 199 | pr = 41 |
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| 200 | d(nzb+1:nzt,nys:nyn,nxl:nxr) = q(nzb+1:nzt,nys:nyn,nxl:nxr) |
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| 201 | |
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| 202 | CASE DEFAULT |
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[144] | 203 | ! |
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| 204 | !-- The DEFAULT case is reached either if the parameter data_output_sp(m) |
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| 205 | !-- contains a wrong character string or if the user has coded a special |
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| 206 | !-- case in the user interface. There, the subroutine user_spectra |
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| 207 | !-- checks which of these two conditions applies. |
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| 208 | CALL user_spectra( 'preprocess', m, pr ) |
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[1] | 209 | |
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| 210 | END SELECT |
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| 211 | |
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| 212 | ! |
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| 213 | !-- Subtract horizontal mean from the array, for which spectra have to be |
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| 214 | !-- calculated |
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| 215 | DO i = nxl, nxr |
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| 216 | DO j = nys, nyn |
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| 217 | DO k = nzb+1, nzt |
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| 218 | d(k,j,i) = d(k,j,i) - sums(k,pr) |
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| 219 | ENDDO |
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| 220 | ENDDO |
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| 221 | ENDDO |
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| 222 | |
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| 223 | END SUBROUTINE preprocess_spectra |
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| 224 | |
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| 225 | |
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| 226 | SUBROUTINE calc_spectra_x( ddd, pr, m ) |
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| 227 | |
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| 228 | USE arrays_3d |
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| 229 | USE constants |
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| 230 | USE control_parameters |
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| 231 | USE fft_xy |
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| 232 | USE grid_variables |
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| 233 | USE indices |
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| 234 | USE pegrid |
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| 235 | USE spectrum |
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| 236 | USE statistics |
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| 237 | USE transpose_indices |
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| 238 | |
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| 239 | IMPLICIT NONE |
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| 240 | |
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| 241 | INTEGER :: i, ishape(1), j, k, m, n, pr |
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| 242 | |
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| 243 | REAL :: fac, exponent |
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| 244 | REAL, DIMENSION(0:nx) :: work |
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| 245 | REAL, DIMENSION(0:nx/2) :: sums_spectra_l |
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[189] | 246 | REAL, DIMENSION(0:nx/2,100):: sums_spectra |
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[1] | 247 | |
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| 248 | REAL, DIMENSION(0:nxa,nys_x:nyn_xa,nzb_x:nzt_xa) :: ddd |
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| 249 | |
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| 250 | ! |
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| 251 | !-- Exponent for geometric average |
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[192] | 252 | exponent = 1.0 / ( ny + 1.0 ) |
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[1] | 253 | |
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| 254 | ! |
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| 255 | !-- Loop over all levels defined by the user |
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| 256 | n = 1 |
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[189] | 257 | DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 ) |
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[1] | 258 | |
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| 259 | k = comp_spectra_level(n) |
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| 260 | |
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| 261 | ! |
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| 262 | !-- Calculate FFT only if the corresponding level is situated on this PE |
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| 263 | IF ( k >= nzb_x .AND. k <= nzt_x ) THEN |
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| 264 | |
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| 265 | DO j = nys_x, nyn_x |
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| 266 | |
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| 267 | work = ddd(0:nx,j,k) |
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| 268 | CALL fft_x( work, 'forward' ) |
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| 269 | |
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| 270 | ddd(0,j,k) = dx * work(0)**2 |
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| 271 | DO i = 1, nx/2 |
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| 272 | ddd(i,j,k) = dx * ( work(i)**2 + work(nx+1-i)**2 ) |
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| 273 | ENDDO |
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| 274 | |
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| 275 | ENDDO |
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| 276 | |
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| 277 | ! |
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| 278 | !-- Local sum and geometric average of these spectra |
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| 279 | !-- (WARNING: no global sum should be performed, because floating |
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| 280 | !-- point overflow may occur) |
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| 281 | DO i = 0, nx/2 |
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| 282 | |
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| 283 | sums_spectra_l(i) = 1.0 |
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| 284 | DO j = nys_x, nyn_x |
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| 285 | sums_spectra_l(i) = sums_spectra_l(i) * ddd(i,j,k)**exponent |
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| 286 | ENDDO |
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| 287 | |
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| 288 | ENDDO |
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| 289 | |
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| 290 | ELSE |
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| 291 | |
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| 292 | sums_spectra_l = 1.0 |
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| 293 | |
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| 294 | ENDIF |
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| 295 | |
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| 296 | ! |
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| 297 | !-- Global sum of spectra on PE0 (from where they are written on file) |
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| 298 | sums_spectra(:,n) = 0.0 |
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| 299 | #if defined( __parallel ) |
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| 300 | CALL MPI_BARRIER( comm2d, ierr ) ! Necessary? |
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| 301 | CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), nx/2+1, & |
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| 302 | MPI_REAL, MPI_PROD, 0, comm2d, ierr ) |
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| 303 | #else |
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| 304 | sums_spectra(:,n) = sums_spectra_l |
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| 305 | #endif |
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| 306 | |
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| 307 | n = n + 1 |
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| 308 | |
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| 309 | ENDDO |
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| 310 | n = n - 1 |
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| 311 | |
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| 312 | IF ( myid == 0 ) THEN |
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| 313 | ! |
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[146] | 314 | !-- Sum of spectra for later averaging (see routine data_output_spectra) |
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[1] | 315 | !-- Temperton fft results need to be normalized |
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| 316 | IF ( fft_method == 'temperton-algorithm' ) THEN |
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| 317 | fac = nx + 1.0 |
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| 318 | ELSE |
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| 319 | fac = 1.0 |
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| 320 | ENDIF |
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| 321 | DO i = 1, nx/2 |
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| 322 | DO k = 1, n |
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| 323 | spectrum_x(i,k,m) = spectrum_x(i,k,m) + sums_spectra(i,k) * fac |
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| 324 | ENDDO |
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| 325 | ENDDO |
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| 326 | |
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| 327 | ENDIF |
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| 328 | |
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| 329 | ! |
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[146] | 330 | !-- n_sp_x is needed by data_output_spectra_x |
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[1] | 331 | n_sp_x = n |
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| 332 | |
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| 333 | END SUBROUTINE calc_spectra_x |
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| 334 | |
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| 335 | |
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| 336 | SUBROUTINE calc_spectra_y( ddd, pr, m ) |
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| 337 | |
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| 338 | USE arrays_3d |
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| 339 | USE constants |
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| 340 | USE control_parameters |
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| 341 | USE fft_xy |
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| 342 | USE grid_variables |
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| 343 | USE indices |
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| 344 | USE pegrid |
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| 345 | USE spectrum |
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| 346 | USE statistics |
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| 347 | USE transpose_indices |
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| 348 | |
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| 349 | IMPLICIT NONE |
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| 350 | |
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| 351 | INTEGER :: i, j, jshape(1), k, m, n, pr |
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| 352 | |
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| 353 | REAL :: fac, exponent |
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| 354 | REAL, DIMENSION(0:ny) :: work |
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| 355 | REAL, DIMENSION(0:ny/2) :: sums_spectra_l |
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[189] | 356 | REAL, DIMENSION(0:ny/2,100):: sums_spectra |
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[1] | 357 | |
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| 358 | REAL, DIMENSION(0:nya,nxl_yd:nxr_yda,nzb_yd:nzt_yda) :: ddd |
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| 359 | |
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| 360 | |
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| 361 | ! |
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| 362 | !-- Exponent for geometric average |
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| 363 | exponent = 1.0 / ( nx + 1.0 ) |
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| 364 | |
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| 365 | ! |
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| 366 | !-- Loop over all levels defined by the user |
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| 367 | n = 1 |
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[189] | 368 | DO WHILE ( comp_spectra_level(n) /= 999999 .AND. n <= 100 ) |
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[1] | 369 | |
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| 370 | k = comp_spectra_level(n) |
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| 371 | |
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| 372 | ! |
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| 373 | !-- Calculate FFT only if the corresponding level is situated on this PE |
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| 374 | IF ( k >= nzb_yd .AND. k <= nzt_yd ) THEN |
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| 375 | |
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| 376 | DO i = nxl_yd, nxr_yd |
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| 377 | |
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| 378 | work = ddd(0:ny,i,k) |
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| 379 | CALL fft_y( work, 'forward' ) |
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| 380 | |
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| 381 | ddd(0,i,k) = dy * work(0)**2 |
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| 382 | DO j = 1, ny/2 |
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| 383 | ddd(j,i,k) = dy * ( work(j)**2 + work(ny+1-j)**2 ) |
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| 384 | ENDDO |
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| 385 | |
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| 386 | ENDDO |
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| 387 | |
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| 388 | ! |
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| 389 | !-- Local sum and geometric average of these spectra |
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| 390 | !-- (WARNING: no global sum should be performed, because floating |
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| 391 | !-- point overflow may occur) |
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| 392 | DO j = 0, ny/2 |
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| 393 | |
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| 394 | sums_spectra_l(j) = 1.0 |
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| 395 | DO i = nxl_yd, nxr_yd |
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| 396 | sums_spectra_l(j) = sums_spectra_l(j) * ddd(j,i,k)**exponent |
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| 397 | ENDDO |
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| 398 | |
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| 399 | ENDDO |
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| 400 | |
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| 401 | ELSE |
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| 402 | |
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| 403 | sums_spectra_l = 1.0 |
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| 404 | |
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| 405 | ENDIF |
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| 406 | |
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| 407 | ! |
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| 408 | !-- Global sum of spectra on PE0 (from where they are written on file) |
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| 409 | sums_spectra(:,n) = 0.0 |
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| 410 | #if defined( __parallel ) |
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| 411 | CALL MPI_BARRIER( comm2d, ierr ) ! Necessary? |
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| 412 | CALL MPI_REDUCE( sums_spectra_l(0), sums_spectra(0,n), ny/2+1, & |
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| 413 | MPI_REAL, MPI_PROD, 0, comm2d, ierr ) |
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| 414 | #else |
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| 415 | sums_spectra(:,n) = sums_spectra_l |
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| 416 | #endif |
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| 417 | |
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| 418 | n = n + 1 |
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| 419 | |
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| 420 | ENDDO |
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| 421 | n = n - 1 |
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| 422 | |
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| 423 | |
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| 424 | IF ( myid == 0 ) THEN |
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| 425 | ! |
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[146] | 426 | !-- Sum of spectra for later averaging (see routine data_output_spectra) |
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[1] | 427 | !-- Temperton fft results need to be normalized |
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| 428 | IF ( fft_method == 'temperton-algorithm' ) THEN |
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| 429 | fac = ny + 1.0 |
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| 430 | ELSE |
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| 431 | fac = 1.0 |
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| 432 | ENDIF |
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| 433 | DO j = 1, ny/2 |
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| 434 | DO k = 1, n |
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| 435 | spectrum_y(j,k,m) = spectrum_y(j,k,m) + sums_spectra(j,k) * fac |
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| 436 | ENDDO |
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| 437 | ENDDO |
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| 438 | |
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| 439 | ENDIF |
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| 440 | |
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| 441 | ! |
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[146] | 442 | !-- n_sp_y is needed by data_output_spectra_y |
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[1] | 443 | n_sp_y = n |
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| 444 | |
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| 445 | END SUBROUTINE calc_spectra_y |
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| 446 | #endif |
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