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module inifilr_m |
module inifilr_m |
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use dimens_m, only: iim |
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IMPLICIT NONE |
IMPLICIT NONE |
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INTEGER jfiltnu, jfiltsu, jfiltnv, jfiltsv |
! North: |
6 |
INTEGER, PARAMETER:: nfilun=3, nfilus=2, nfilvn=2, nfilvs=2 |
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INTEGER jfiltnu, jfiltnv |
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! index of the last scalar line filtered in northern hemisphere |
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real, allocatable:: matriceun(:, :, :) ! (iim, iim, 2:jfiltnu) |
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! matrice filtre pour les champs situes sur la grille scalaire |
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real, allocatable:: matrinvn(:, :, :) ! (iim, iim, 2:jfiltnu) |
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! matrice filtre pour les champs situes sur la grille scalaire, pour |
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! le filtre inverse |
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real, allocatable:: matricevn(:, :, :) ! (iim, iim, jfiltnv) |
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! matrice filtre pour les champs situes sur la grille de V ou de Z |
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real matriceun(iim,iim,nfilun), matriceus(iim,iim,nfilus) |
! South: |
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real matricevn(iim,iim,nfilvn), matricevs(iim,iim,nfilvs) |
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real matrinvn(iim,iim,nfilun), matrinvs(iim,iim,nfilus) |
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private iim, nfilun, nfilus, nfilvn, nfilvs |
integer jfiltsu, jfiltsv |
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! index of the first line filtered in southern hemisphere |
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real, allocatable:: matriceus(:, :, :) ! (iim, iim, jfiltsu:jjm) |
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! matrice filtre pour les champs situes sur la grille scalaire |
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real, allocatable:: matrinvs(:, :, :) ! (iim, iim, jfiltsu:jjm) |
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! matrice filtre pour les champs situes sur la grille scalaire, pour |
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! le filtre inverse |
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real, allocatable:: matricevs(:, :, :) ! (iim, iim, jfiltsv:jjm) |
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! matrice filtre pour les champs situes sur la grille de V ou de Z |
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contains |
contains |
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SUBROUTINE inifilr |
SUBROUTINE inifilr |
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! From filtrez/inifilr.F, version 1.1.1.1 2004/05/19 12:53:09 |
! From filtrez/inifilr.F, version 1.1.1.1, 2004/05/19 12:53:09 |
40 |
! H. Upadhyaya, O. Sharma |
! H. Upadhyaya, O. Sharma |
41 |
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! This routine computes the eigenfunctions of the laplacian on the |
! This procedure computes the filtering coefficients for scalar |
43 |
! stretched grid, and the filtering coefficients. |
! lines and meridional wind v lines. The modes are filtered from |
44 |
! We designate: |
! modfrst to iim. We filter all those latitude lines where coefil |
45 |
! eignfn eigenfunctions of the discrete laplacian |
! < 1. No filtering at poles. colat0 is to be used when alpha |
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! eigenvl eigenvalues |
! (stretching coefficient) is set equal to zero for the regular |
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! jfiltn index of the last scalar line filtered in NH |
! grid case. |
48 |
! jfilts index of the first line filtered in SH |
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! modfrst index of the mode from where modes are filtered |
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! modemax maximum number of modes (im) |
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! coefil filtering coefficients (lamda_max * cos(rlat) / lamda) |
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! sdd SQRT(dx) |
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! The modes are filtered from modfrst to modemax. |
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USE coefils, ONLY : coefilu, coefilu2, coefilv, coefilv2, eignfnu, & |
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eignfnv, modfrstu, modfrstv |
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USE comgeom, ONLY : rlatu, rlatv, xprimu |
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49 |
USE dimens_m, ONLY : iim, jjm |
USE dimens_m, ONLY : iim, jjm |
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USE dynetat0_m, ONLY : rlatu, rlatv, xprimu, grossismx |
51 |
use inifgn_m, only: inifgn |
use inifgn_m, only: inifgn |
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use jumble, only: new_unit |
53 |
use nr_util, only: pi |
use nr_util, only: pi |
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USE serre, ONLY : grossismx |
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! Local: |
! Local: |
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REAL dlatu(jjm) |
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REAL rlamda(2: iim), eignvl(iim) |
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57 |
REAL lamdamax, cof |
REAL dlatu(jjm) |
58 |
INTEGER i, j, modemax, imx, k, kf |
REAL rlamda(2:iim) |
59 |
REAL dymin, colat0 |
real eignvl(iim) ! eigenvalues sorted in descending order (<= 0) |
60 |
REAL eignft(iim, iim), coff |
INTEGER i, j, unit |
61 |
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REAL colat0 ! > 0 |
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REAL eignft(iim, iim) |
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real eignfnu(iim, iim), eignfnv(iim, iim) |
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! eigenvectors of the discrete second derivative with respect to longitude |
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! Filtering coefficients (lamda_max * cos(rlat) / lamda): |
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real coefil(iim) |
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! Index of the mode from where modes are filtered: |
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integer, allocatable:: modfrstnu(:) ! (2:jfiltnu) |
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integer, allocatable:: modfrstsu(:) ! (jfiltsu:jjm) |
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integer, allocatable:: modfrstnv(:) ! (jfiltnv) |
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integer, allocatable:: modfrstsv(:) ! (jfiltsv:jjm) |
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76 |
!----------------------------------------------------------- |
!----------------------------------------------------------- |
77 |
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78 |
print *, "Call sequence information: inifilr" |
print *, "Call sequence information: inifilr" |
79 |
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80 |
CALL inifgn(eignvl) |
CALL inifgn(eignvl, eignfnu, eignfnv) |
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PRINT *, 'EIGNVL ' |
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PRINT "(1X, 5E13.6)", eignvl |
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! compute eigenvalues and eigenfunctions |
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! compute the filtering coefficients for scalar lines and |
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! meridional wind v-lines |
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! we filter all those latitude lines where coefil < 1 |
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! NO FILTERING AT POLES |
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! colat0 is to be used when alpha (stretching coefficient) |
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! is set equal to zero for the regular grid case |
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82 |
! Calcul de colat0 |
! Calcul de colat0 |
83 |
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forall (j = 1:jjm) dlatu(j) = rlatu(j) - rlatu(j + 1) |
84 |
DO j = 1, jjm |
colat0 = min(0.5, minval(dlatu) / minval(xprimu(:iim))) |
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dlatu(j) = rlatu(j) - rlatu(j+1) |
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END DO |
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dymin = dlatu(1) |
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DO j = 2, jjm |
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dymin = min(dymin, dlatu(j)) |
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END DO |
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colat0 = min(0.5, dymin / minval(xprimu(:iim))) |
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85 |
PRINT *, 'colat0 = ', colat0 |
PRINT *, 'colat0 = ', colat0 |
86 |
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87 |
lamdamax = iim / (pi * colat0 / grossismx) |
rlamda = iim / (pi * colat0 / grossismx) / sqrt(- eignvl(2: iim)) |
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rlamda = lamdamax / sqrt(abs(eignvl(2: iim))) |
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DO j = 1, jjm |
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DO i = 1, iim |
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coefilu(i, j) = 0. |
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coefilv(i, j) = 0. |
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coefilu2(i, j) = 0. |
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coefilv2(i, j) = 0. |
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end DO |
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END DO |
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! Determination de jfiltnu, jfiltnv, jfiltsu, jfiltsv |
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modemax = iim |
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imx = iim |
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PRINT *, 'TRUNCATION AT ', imx |
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DO j = 2, jjm / 2 + 1 |
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IF (cos(rlatu(j)) / colat0 < 1. & |
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.and. rlamda(imx) * cos(rlatu(j)) < 1.) jfiltnu = j |
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89 |
IF (cos(rlatu(jjm - j + 2)) / colat0 < 1. & |
! D\'etermination de jfilt[ns][uv] : |
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.and. rlamda(imx) * cos(rlatu(jjm - j + 2)) < 1.) & |
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jfiltsu = jjm - j + 2 |
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END DO |
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DO j = 1, jjm/2 |
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cof = cos(rlatv(j))/colat0 |
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IF (cof < 1.) THEN |
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IF (rlamda(imx)*cos(rlatv(j)) < 1.) jfiltnv = j |
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END IF |
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cof = cos(rlatv(jjm-j+1))/colat0 |
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IF (cof < 1.) THEN |
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IF (rlamda(imx)*cos(rlatv(jjm-j+1)) < 1.) jfiltsv = jjm - j + 1 |
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END IF |
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END DO |
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IF (jfiltnu <= 0) jfiltnu = 1 |
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IF (jfiltnu > jjm/2+1) THEN |
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PRINT *, 'jfiltnu en dehors des valeurs acceptables ', jfiltnu |
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STOP 1 |
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END IF |
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91 |
IF (jfiltsu <= 0) jfiltsu = 1 |
jfiltnu = (jjm + 1) / 2 |
92 |
IF (jfiltsu > jjm + 1) THEN |
do while (cos(rlatu(jfiltnu)) >= colat0 & |
93 |
PRINT *, 'jfiltsu en dehors des valeurs acceptables ', jfiltsu |
.or. rlamda(iim) * cos(rlatu(jfiltnu)) >= 1.) |
94 |
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jfiltnu = jfiltnu - 1 |
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end do |
96 |
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97 |
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jfiltsu = jjm / 2 + 2 |
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do while (cos(rlatu(jfiltsu)) >= colat0 & |
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.or. rlamda(iim) * cos(rlatu(jfiltsu)) >= 1.) |
100 |
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jfiltsu = jfiltsu + 1 |
101 |
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end do |
102 |
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103 |
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jfiltnv = jjm / 2 |
104 |
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do while ((cos(rlatv(jfiltnv)) >= colat0 & |
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.or. rlamda(iim) * cos(rlatv(jfiltnv)) >= 1.) .and. jfiltnv >= 2) |
106 |
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jfiltnv = jfiltnv - 1 |
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end do |
108 |
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109 |
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if (cos(rlatv(jfiltnv)) >= colat0 & |
110 |
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.or. rlamda(iim) * cos(rlatv(jfiltnv)) >= 1.) then |
111 |
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! {jfiltnv == 1} |
112 |
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PRINT *, 'Could not find jfiltnv.' |
113 |
STOP 1 |
STOP 1 |
114 |
END IF |
END IF |
115 |
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116 |
IF (jfiltnv <= 0) jfiltnv = 1 |
jfiltsv = (jjm + 1)/ 2 + 1 |
117 |
IF (jfiltnv > jjm/2) THEN |
do while ((cos(rlatv(jfiltsv)) >= colat0 & |
118 |
PRINT *, 'jfiltnv en dehors des valeurs acceptables ', jfiltnv |
.or. rlamda(iim) * cos(rlatv(jfiltsv)) >= 1.) .and. jfiltsv <= jjm - 1) |
119 |
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jfiltsv = jfiltsv + 1 |
120 |
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end do |
121 |
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122 |
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IF (cos(rlatv(jfiltsv)) >= colat0 & |
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.or. rlamda(iim) * cos(rlatv(jfiltsv)) >= 1.) THEN |
124 |
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! {jfiltsv == jjm} |
125 |
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PRINT *, 'Could not find jfiltsv.' |
126 |
STOP 1 |
STOP 1 |
127 |
END IF |
END IF |
128 |
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129 |
IF (jfiltsv <= 0) jfiltsv = 1 |
PRINT *, 'jfiltnu =', jfiltnu |
130 |
IF (jfiltsv > jjm) THEN |
PRINT *, 'jfiltsu =', jfiltsu |
131 |
PRINT *, 'jfiltsv en dehors des valeurs acceptables ', jfiltsv |
PRINT *, 'jfiltnv =', jfiltnv |
132 |
STOP 1 |
PRINT *, 'jfiltsv =', jfiltsv |
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END IF |
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134 |
PRINT *, 'jfiltnv jfiltsv jfiltnu jfiltsu ', jfiltnv, jfiltsv, jfiltnu, & |
! D\'etermination de modfrst[ns][uv] : |
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jfiltsu |
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136 |
! Determination de coefilu, coefilv, n=modfrstu, modfrstv |
allocate(modfrstnu(2:jfiltnu), modfrstsu(jfiltsu:jjm)) |
137 |
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allocate(modfrstnv(jfiltnv), modfrstsv(jfiltsv:jjm)) |
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DO j = 1, jjm |
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modfrstu(j) = iim |
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modfrstv(j) = iim |
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END DO |
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DO j = 2, jfiltnu |
DO j = 2, jfiltnu |
140 |
DO k = 2, modemax |
modfrstnu(j) = 2 |
141 |
cof = rlamda(k) * cos(rlatu(j)) |
do while (rlamda(modfrstnu(j)) * cos(rlatu(j)) >= 1. & |
142 |
IF (cof < 1.) exit |
.and. modfrstnu(j) <= iim - 1) |
143 |
end DO |
modfrstnu(j) = modfrstnu(j) + 1 |
144 |
if (k == modemax + 1) cycle |
end do |
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modfrstu(j) = k |
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kf = modfrstu(j) |
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DO k = kf, modemax |
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cof = rlamda(k)*cos(rlatu(j)) |
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coefilu(k, j) = cof - 1. |
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coefilu2(k, j) = cof*cof - 1. |
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end DO |
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145 |
END DO |
END DO |
146 |
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147 |
DO j = 1, jfiltnv |
DO j = 1, jfiltnv |
148 |
DO k = 2, modemax |
modfrstnv(j) = 2 |
149 |
cof = rlamda(k)*cos(rlatv(j)) |
do while (rlamda(modfrstnv(j)) * cos(rlatv(j)) >= 1. & |
150 |
IF (cof < 1.) exit |
.and. modfrstnv(j) <= iim - 1) |
151 |
end DO |
modfrstnv(j) = modfrstnv(j) + 1 |
152 |
if (k == modemax + 1) cycle |
end do |
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modfrstv(j) = k |
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kf = modfrstv(j) |
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DO k = kf, modemax |
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cof = rlamda(k)*cos(rlatv(j)) |
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coefilv(k, j) = cof - 1. |
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coefilv2(k, j) = cof*cof - 1. |
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end DO |
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153 |
end DO |
end DO |
154 |
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155 |
DO j = jfiltsu, jjm |
DO j = jfiltsu, jjm |
156 |
DO k = 2, modemax |
modfrstsu(j) = 2 |
157 |
cof = rlamda(k)*cos(rlatu(j)) |
do while (rlamda(modfrstsu(j)) * cos(rlatu(j)) >= 1. & |
158 |
IF (cof < 1.) exit |
.and. modfrstsu(j) <= iim - 1) |
159 |
end DO |
modfrstsu(j) = modfrstsu(j) + 1 |
160 |
if (k == modemax + 1) cycle |
end do |
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modfrstu(j) = k |
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kf = modfrstu(j) |
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DO k = kf, modemax |
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cof = rlamda(k)*cos(rlatu(j)) |
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coefilu(k, j) = cof - 1. |
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coefilu2(k, j) = cof*cof - 1. |
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end DO |
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161 |
end DO |
end DO |
162 |
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163 |
DO j = jfiltsv, jjm |
DO j = jfiltsv, jjm |
164 |
DO k = 2, modemax |
modfrstsv(j) = 2 |
165 |
cof = rlamda(k)*cos(rlatv(j)) |
do while (rlamda(modfrstsv(j)) * cos(rlatv(j)) >= 1. & |
166 |
IF (cof < 1.) exit |
.and. modfrstsv(j) <= iim - 1) |
167 |
end DO |
modfrstsv(j) = modfrstsv(j) + 1 |
168 |
if (k == modemax + 1) cycle |
end do |
169 |
modfrstv(j) = k |
END DO |
170 |
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171 |
kf = modfrstv(j) |
call new_unit(unit) |
172 |
DO k = kf, modemax |
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173 |
cof = rlamda(k)*cos(rlatv(j)) |
open(unit, file = "inifilr_out.txt", status = "replace", action = "write") |
174 |
coefilv(k, j) = cof - 1. |
write(unit, fmt = *) '"EIGNVL"', eignvl |
175 |
coefilv2(k, j) = cof*cof - 1. |
close(unit) |
176 |
end DO |
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177 |
END DO |
open(unit, file = "modfrstnu.csv", status = "replace", action = "write") |
178 |
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write(unit, fmt = *) '"rlatu (degrees north)" modfrstnu ' & |
179 |
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// '"rlamda(modfrstnu) * cos(rlatu) < 1"' |
180 |
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DO j = 2, jfiltnu |
181 |
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write(unit, fmt = *) rlatu(j) / pi * 180., modfrstnu(j), & |
182 |
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rlamda(modfrstnu(j)) * cos(rlatu(j)) < 1 |
183 |
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end DO |
184 |
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close(unit) |
185 |
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186 |
IF (jfiltnv>=jjm/2 .OR. jfiltnu>=jjm/2) THEN |
open(unit, file = "modfrstnv.csv", status = "replace", action = "write") |
187 |
IF (jfiltnv == jfiltsv) jfiltsv = 1 + jfiltnv |
write(unit, fmt = *) '"rlatv (degrees north)" modfrstnv ' & |
188 |
IF (jfiltnu == jfiltsu) jfiltsu = 1 + jfiltnu |
// '"rlamda(modfrstnv) * cos(rlatv) < 1"' |
189 |
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DO j = 1, jfiltnv |
190 |
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write(unit, fmt = *) rlatv(j) / pi * 180., modfrstnv(j), & |
191 |
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rlamda(modfrstnv(j)) * cos(rlatv(j)) < 1 |
192 |
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end DO |
193 |
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close(unit) |
194 |
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195 |
PRINT *, 'jfiltnv jfiltsv jfiltnu jfiltsu', jfiltnv, jfiltsv, jfiltnu, & |
open(unit, file = "modfrstsu.csv", status = "replace", action = "write") |
196 |
jfiltsu |
write(unit, fmt = *) '"rlatu (degrees north)" modfrstsu ' & |
197 |
END IF |
// '"rlamda(modfrstsu) * cos(rlatu) < 1"' |
198 |
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DO j = jfiltsu, jjm |
199 |
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write(unit, fmt = *) rlatu(j) / pi * 180., modfrstsu(j), & |
200 |
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rlamda(modfrstsu(j)) * cos(rlatu(j)) < 1 |
201 |
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end DO |
202 |
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close(unit) |
203 |
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204 |
PRINT *, 'Modes premiers v ' |
open(unit, file = "modfrstsv.csv", status = "replace", action = "write") |
205 |
PRINT 334, modfrstv |
write(unit, fmt = *) '"rlatv (degrees north)" modfrstsv ' & |
206 |
PRINT *, 'Modes premiers u ' |
// '"rlamda(modfrstsv) * cos(rlatv) < 1"' |
207 |
PRINT 334, modfrstu |
DO j = jfiltsv, jjm |
208 |
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write(unit, fmt = *) rlatv(j) / pi * 180., modfrstsv(j), & |
209 |
IF (nfilun < jfiltnu) THEN |
rlamda(modfrstsv(j)) * cos(rlatv(j)) < 1 |
210 |
PRINT *, 'le parametre nfilun utilise pour la matrice ', & |
end DO |
211 |
'matriceun est trop petit ! ' |
close(unit) |
212 |
PRINT *, 'Le changer dans parafilt.h et le mettre a ', jfiltnu |
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213 |
PRINT *, 'Pour information, nfilun, nfilus, nfilvn, nfilvs ', & |
allocate(matriceun(iim, iim, 2:jfiltnu), matrinvn(iim, iim, 2:jfiltnu)) |
214 |
'doivent etre egaux successivement a ', jfiltnu, & |
allocate(matricevn(iim, iim, jfiltnv)) |
215 |
jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 |
allocate(matricevs(iim, iim, jfiltsv:jjm)) |
216 |
STOP 1 |
allocate(matriceus(iim, iim, jfiltsu:jjm), matrinvs(iim, iim, jfiltsu:jjm)) |
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END IF |
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IF (nfilun > jfiltnu+2) THEN |
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PRINT *, 'le parametre nfilun utilise pour la matrice ', & |
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'matriceun est trop grand ! Gachis de memoire ! ' |
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PRINT *, 'Le changer dans parafilt.h et le mettre a ', jfiltnu |
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PRINT *, 'Pour information, nfilun, nfilus, nfilvn, nfilvs ', & |
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'doivent etre egaux successivement a ', & |
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jfiltnu, jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 |
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END IF |
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IF (nfilus < jjm-jfiltsu+1) THEN |
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PRINT *, 'le parametre nfilus utilise pour la matrice ', & |
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'matriceus est trop petit ! ' |
|
|
PRINT *, 'Le changer dans parafilt.h et le mettre a ', & |
|
|
jjm - jfiltsu + 1 |
|
|
PRINT *, 'Pour information , nfilun, nfilus, nfilvn, nfilvs ', & |
|
|
'doivent etre egaux successivement a ', & |
|
|
jfiltnu, jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 |
|
|
STOP 1 |
|
|
END IF |
|
|
IF (nfilus > jjm-jfiltsu+3) THEN |
|
|
PRINT *, 'le parametre nfilus utilise pour la matrice ', & |
|
|
'matriceus est trop grand ! ' |
|
|
PRINT *, 'Le changer dans parafilt.h et le mettre a ', & |
|
|
jjm - jfiltsu + 1 |
|
|
PRINT *, 'Pour information , nfilun, nfilus, nfilvn, nfilvs ', & |
|
|
'doivent etre egaux successivement a ', & |
|
|
jfiltnu, jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 |
|
|
END IF |
|
|
IF (nfilvn < jfiltnv) THEN |
|
|
PRINT *, 'le parametre nfilvn utilise pour la matrice ', & |
|
|
'matricevn est trop petit ! ' |
|
|
PRINT *, 'Le changer dans parafilt.h et le mettre a ', jfiltnv |
|
|
PRINT *, 'Pour information , nfilun, nfilus, nfilvn, nfilvs ', & |
|
|
'doivent etre egaux successivement a ', & |
|
|
jfiltnu, jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 |
|
|
STOP 1 |
|
|
END IF |
|
|
IF (nfilvn > jfiltnv+2) THEN |
|
|
PRINT *, 'le parametre nfilvn utilise pour la matrice ', & |
|
|
'matricevn est trop grand ! Gachis de memoire ! ' |
|
|
PRINT *, 'Le changer dans parafilt.h et le mettre a ', jfiltnv |
|
|
PRINT *, 'Pour information , nfilun, nfilus, nfilvn, nfilvs ', & |
|
|
'doivent etre egaux successivement a ', & |
|
|
jfiltnu, jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 |
|
|
END IF |
|
|
IF (nfilvs < jjm-jfiltsv+1) THEN |
|
|
PRINT *, 'le parametre nfilvs utilise pour la matrice ', & |
|
|
'matricevs est trop petit ! Le changer dans parafilt.h ' |
|
|
PRINT *, 'Le changer dans parafilt.h et le mettre a ', & |
|
|
jjm - jfiltsv + 1 |
|
|
PRINT *, 'Pour information , nfilun, nfilus, nfilvn, nfilvs ', & |
|
|
'doivent etre egaux successivement a ', & |
|
|
jfiltnu, jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 |
|
|
STOP 1 |
|
|
END IF |
|
|
IF (nfilvs > jjm-jfiltsv+3) THEN |
|
|
PRINT *, 'le parametre nfilvs utilise pour la matrice ', & |
|
|
'matricevs est trop grand ! Gachis de memoire ! ' |
|
|
PRINT *, 'Le changer dans parafilt.h et le mettre a ', & |
|
|
jjm - jfiltsv + 1 |
|
|
PRINT *, 'Pour information , nfilun, nfilus, nfilvn, nfilvs ', & |
|
|
'doivent etre egaux successivement a ', & |
|
|
jfiltnu, jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 |
|
|
END IF |
|
217 |
|
|
218 |
! Calcul de la matrice filtre 'matriceu' pour les champs situes |
! Calcul de matriceu et matrinv |
|
! sur la grille scalaire |
|
219 |
|
|
220 |
DO j = 2, jfiltnu |
DO j = 2, jfiltnu |
221 |
DO i = 1, iim |
if (rlamda(modfrstnu(j)) * cos(rlatu(j)) < 1.) then |
222 |
IF (i < modfrstu(j)) then |
DO i = modfrstnu(j), iim |
223 |
coff = 0. |
coefil(i) = rlamda(i) * cos(rlatu(j)) - 1. |
224 |
else |
end DO |
225 |
coff = coefilu(i, j) |
|
226 |
end IF |
eignft(:modfrstnu(j) - 1, :) = 0. |
227 |
eignft(i, :) = eignfnv(:, i)*coff |
|
228 |
END DO |
forall (i = modfrstnu(j):iim) eignft(i, :) = eignfnv(:, i) * coefil(i) |
229 |
matriceun(:, :, j) = matmul(eignfnv, eignft) |
matriceun(:, :, j) = matmul(eignfnv, eignft) |
230 |
|
|
231 |
|
forall (i = modfrstnu(j):iim) eignft(i, :) = eignfnv(:, i) & |
232 |
|
* coefil(i) / (1. + coefil(i)) |
233 |
|
matrinvn(:, :, j) = matmul(eignfnv, eignft) |
234 |
|
else |
235 |
|
matriceun(:, :, j) = 0. |
236 |
|
matrinvn(:, :, j) = 0. |
237 |
|
end if |
238 |
END DO |
END DO |
239 |
|
|
240 |
DO j = jfiltsu, jjm |
DO j = jfiltsu, jjm |
241 |
DO i = 1, iim |
if (rlamda(modfrstsu(j)) * cos(rlatu(j)) < 1.) then |
242 |
IF (i < modfrstu(j)) then |
DO i = modfrstsu(j), iim |
243 |
coff = 0. |
coefil(i) = rlamda(i) * cos(rlatu(j)) - 1. |
244 |
else |
end DO |
245 |
coff = coefilu(i, j) |
|
246 |
end IF |
eignft(:modfrstsu(j) - 1, :) = 0. |
247 |
eignft(i, :) = eignfnv(:, i) * coff |
|
248 |
END DO |
forall (i = modfrstsu(j):iim) eignft(i, :) = eignfnv(:, i) * coefil(i) |
249 |
matriceus(:, :, j - jfiltsu + 1) = matmul(eignfnv, eignft) |
matriceus(:, :, j) = matmul(eignfnv, eignft) |
250 |
|
|
251 |
|
forall (i = modfrstsu(j):iim) eignft(i, :) = eignfnv(:, i) & |
252 |
|
* coefil(i) / (1. + coefil(i)) |
253 |
|
matrinvs(:, :, j) = matmul(eignfnv, eignft) |
254 |
|
else |
255 |
|
matriceus(:, :, j) = 0. |
256 |
|
matrinvs(:, :, j) = 0. |
257 |
|
end if |
258 |
END DO |
END DO |
259 |
|
|
260 |
! Calcul de la matrice filtre 'matricev' pour les champs situes |
! Calcul de matricev |
|
! sur la grille de V ou de Z |
|
261 |
|
|
262 |
DO j = 1, jfiltnv |
DO j = 1, jfiltnv |
263 |
DO i = 1, iim |
if (rlamda(modfrstnv(j)) * cos(rlatv(j)) < 1.) then |
264 |
IF (i < modfrstv(j)) then |
DO i = modfrstnv(j), iim |
265 |
coff = 0. |
coefil(i) = rlamda(i) * cos(rlatv(j)) - 1. |
266 |
else |
end DO |
267 |
coff = coefilv(i, j) |
|
268 |
end IF |
eignft(:modfrstnv(j) - 1, :) = 0. |
269 |
eignft(i, :) = eignfnu(:, i)*coff |
forall (i = modfrstnv(j):iim) eignft(i, :) = eignfnu(:, i) * coefil(i) |
270 |
END DO |
matricevn(:, :, j) = matmul(eignfnu, eignft) |
271 |
matricevn(:, :, j) = matmul(eignfnu, eignft) |
else |
272 |
|
matricevn(:, :, j) = 0. |
273 |
|
end if |
274 |
END DO |
END DO |
275 |
|
|
276 |
DO j = jfiltsv, jjm |
DO j = jfiltsv, jjm |
277 |
DO i = 1, iim |
if (rlamda(modfrstsv(j)) * cos(rlatv(j)) < 1.) then |
278 |
IF (i < modfrstv(j)) then |
DO i = modfrstsv(j), iim |
279 |
coff = 0. |
coefil(i) = rlamda(i) * cos(rlatv(j)) - 1. |
280 |
else |
end DO |
281 |
coff = coefilv(i, j) |
|
282 |
end IF |
eignft(:modfrstsv(j) - 1, :) = 0. |
283 |
eignft(i, :) = eignfnu(:, i)*coff |
forall (i = modfrstsv(j):iim) eignft(i, :) = eignfnu(:, i) * coefil(i) |
284 |
END DO |
matricevs(:, :, j) = matmul(eignfnu, eignft) |
285 |
matricevs(:, :, j-jfiltsv+1) = matmul(eignfnu, eignft) |
else |
286 |
|
matricevs(:, :, j) = 0. |
287 |
|
end if |
288 |
END DO |
END DO |
289 |
|
|
|
! Calcul de la matrice filtre 'matrinv' pour les champs situes |
|
|
! sur la grille scalaire , pour le filtre inverse |
|
|
|
|
|
DO j = 2, jfiltnu |
|
|
DO i = 1, iim |
|
|
IF (i < modfrstu(j)) then |
|
|
coff = 0. |
|
|
else |
|
|
coff = coefilu(i, j)/(1.+coefilu(i, j)) |
|
|
end IF |
|
|
eignft(i, :) = eignfnv(:, i)*coff |
|
|
END DO |
|
|
matrinvn(:, :, j) = matmul(eignfnv, eignft) |
|
|
END DO |
|
|
|
|
|
DO j = jfiltsu, jjm |
|
|
DO i = 1, iim |
|
|
IF (i < modfrstu(j)) then |
|
|
coff = 0. |
|
|
else |
|
|
coff = coefilu(i, j)/(1.+coefilu(i, j)) |
|
|
end IF |
|
|
eignft(i, :) = eignfnv(:, i)*coff |
|
|
END DO |
|
|
matrinvs(:, :, j-jfiltsu+1) = matmul(eignfnv, eignft) |
|
|
END DO |
|
|
|
|
|
334 FORMAT (1X, 24I3) |
|
|
|
|
290 |
END SUBROUTINE inifilr |
END SUBROUTINE inifilr |
291 |
|
|
292 |
end module inifilr_m |
end module inifilr_m |