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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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5 |
INTEGER jfiltnu, jfiltsu, jfiltnv, jfiltsv |
INTEGER jfiltnu, jfiltsu, jfiltnv, jfiltsv |
6 |
INTEGER, PARAMETER:: nfilun=3, nfilus=2, nfilvn=2, nfilvs=2 |
! jfiltn index of the last scalar line filtered in NH |
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! jfilts index of the first line filtered in SH |
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! North: |
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real, allocatable:: matriceun(:, :, :), matrinvn(:, :, :) |
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! (iim, iim, 2:jfiltnu) |
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real, allocatable:: matricevn(:, :, :) ! (iim, iim, jfiltnv) |
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real matriceun(iim,iim,nfilun), matriceus(iim,iim,nfilus) |
! South: |
16 |
real matricevn(iim,iim,nfilvn), matricevs(iim,iim,nfilvs) |
real, allocatable:: matriceus(:, :, :), matrinvs(:, :, :) |
17 |
real matrinvn(iim,iim,nfilun), matrinvs(iim,iim,nfilus) |
! (iim, iim, jfiltsu:jjm) |
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private iim, nfilun, nfilus, nfilvn, nfilvs |
real, allocatable:: matricevs(:, :, :) ! (iim, iim, jfiltsv:jjm) |
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contains |
contains |
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! H. Upadhyaya, O. Sharma |
! H. Upadhyaya, O. Sharma |
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! This routine computes the eigenfunctions of the laplacian on the |
! This routine computes the eigenfunctions of the laplacian on the |
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! stretched grid, and the filtering coefficients. |
! stretched grid, and the filtering coefficients. The modes are |
30 |
! We designate: |
! filtered from modfrst to iim. |
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! eignfn eigenfunctions of the discrete laplacian |
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! eigenvl eigenvalues |
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! jfiltn index of the last scalar line filtered in NH |
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! 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 dimens_m, ONLY : iim, jjm |
USE dimens_m, ONLY : iim, jjm |
33 |
use conf_gcm_m, ONLY : fxyhypb, ysinus |
USE dynetat0_m, ONLY : rlatu, rlatv, xprimu, grossismx |
34 |
USE comgeom, ONLY : rlatu, rlatv, xprimu |
use inifgn_m, only: inifgn, eignfnu, eignfnv |
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use jumble, only: new_unit |
36 |
use nr_util, only: pi |
use nr_util, only: pi |
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USE serre, ONLY : alphax |
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USE coefils, ONLY : coefilu, coefilu2, coefilv, coefilv2, eignfnu, & |
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eignfnv, modfrstu, modfrstv |
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! Local: |
! Local: |
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REAL dlonu(iim), dlatu(jjm) |
REAL dlatu(jjm) |
40 |
REAL rlamda(2: iim), eignvl(iim) |
REAL rlamda(2: iim) |
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real eignvl(iim) ! eigenvalues |
42 |
REAL lamdamax, cof |
REAL cof |
43 |
INTEGER i, j, modemax, imx, k, kf |
INTEGER i, j, k, kf, unit |
44 |
REAL dymin, dxmin, colat0 |
REAL colat0 |
45 |
REAL eignft(iim, iim), coff |
REAL eignft(iim, iim), coff |
46 |
EXTERNAL inifgn |
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47 |
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! Filtering coefficients (lamda_max * cos(rlat) / lamda): |
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real coefilu(iim, jjm), coefilv(iim, jjm) |
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real coefilu2(iim, jjm), coefilv2(iim, jjm) |
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integer modfrstu(jjm), modfrstv(jjm) |
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! index of the mode from where modes are filtered |
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!----------------------------------------------------------- |
!----------------------------------------------------------- |
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56 |
print *, "Call sequence information: inifilr" |
print *, "Call sequence information: inifilr" |
57 |
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DO i = 1, iim |
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dlonu(i) = xprimu(i) |
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END DO |
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58 |
CALL inifgn(eignvl) |
CALL inifgn(eignvl) |
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60 |
PRINT *, 'EIGNVL ' |
call new_unit(unit) |
61 |
PRINT "(1X, 5E13.6)", eignvl |
open(unit, file = "eignvl.txt", status = "replace", action = "write") |
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write(unit, fmt = *) EIGNVL |
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close(unit) |
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! compute eigenvalues and eigenfunctions |
! compute eigenvalues and eigenfunctions |
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! compute the filtering coefficients for scalar lines and |
! compute the filtering coefficients for scalar lines and |
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! is set equal to zero for the regular grid case |
! is set equal to zero for the regular grid case |
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! Calcul de colat0 |
! Calcul de colat0 |
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forall (j = 1:jjm) dlatu(j) = rlatu(j) - rlatu(j + 1) |
75 |
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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dxmin = dlonu(1) |
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DO i = 2, iim |
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dxmin = min(dxmin, dlonu(i)) |
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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/dxmin) |
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IF (.NOT. fxyhypb .AND. ysinus) THEN |
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colat0 = 0.6 |
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! À revoir pour ysinus |
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alphax = 0. |
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END IF |
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76 |
PRINT *, 'colat0 = ', colat0 |
PRINT *, 'colat0 = ', colat0 |
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PRINT *, 'alphax = ', alphax |
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IF (alphax == 1.) THEN |
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PRINT *, 'alphax doit etre < a 1. Corriger ' |
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STOP 1 |
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END IF |
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lamdamax = iim / (pi * colat0 * (1. - alphax)) |
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rlamda = lamdamax / sqrt(abs(eignvl(2: iim))) |
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DO j = 1, jjm |
rlamda = iim / (pi * colat0 / grossismx) / sqrt(abs(eignvl(2: iim))) |
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DO i = 1, iim |
coefilu = 0. |
80 |
coefilu(i, j) = 0. |
coefilv = 0. |
81 |
coefilv(i, j) = 0. |
coefilu2 = 0. |
82 |
coefilu2(i, j) = 0. |
coefilv2 = 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 |
! Determination de jfiltnu, jfiltnv, jfiltsu, jfiltsv |
85 |
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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 |
DO j = 2, jjm / 2 + 1 |
87 |
IF (cos(rlatu(j)) / colat0 < 1. & |
IF (cos(rlatu(j)) / colat0 < 1. & |
88 |
.and. rlamda(imx) * cos(rlatu(j)) < 1.) jfiltnu = j |
.and. rlamda(iim) * cos(rlatu(j)) < 1.) jfiltnu = j |
89 |
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90 |
IF (cos(rlatu(jjm - j + 2)) / colat0 < 1. & |
IF (cos(rlatu(jjm - j + 2)) / colat0 < 1. & |
91 |
.and. rlamda(imx) * cos(rlatu(jjm - j + 2)) < 1.) & |
.and. rlamda(iim) * cos(rlatu(jjm - j + 2)) < 1.) & |
92 |
jfiltsu = jjm - j + 2 |
jfiltsu = jjm - j + 2 |
93 |
END DO |
END DO |
94 |
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95 |
DO j = 1, jjm/2 |
DO j = 1, jjm / 2 |
96 |
cof = cos(rlatv(j))/colat0 |
IF (cos(rlatv(j)) / colat0 < 1. .and. rlamda(iim) * cos(rlatv(j)) < 1.) & |
97 |
IF (cof < 1.) THEN |
jfiltnv = j |
98 |
IF (rlamda(imx)*cos(rlatv(j)) < 1.) jfiltnv = j |
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END IF |
IF (cos(rlatv(jjm - j + 1)) / colat0 < 1. .and. rlamda(iim) & |
100 |
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* cos(rlatv(jjm - j + 1)) < 1.) jfiltsv = jjm - j + 1 |
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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 |
END DO |
102 |
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103 |
IF (jfiltnu <= 0) jfiltnu = 1 |
IF (jfiltnu <= 0) jfiltnu = 1 |
104 |
IF (jfiltnu > jjm/2+1) THEN |
IF (jfiltnu > jjm / 2 + 1) THEN |
105 |
PRINT *, 'jfiltnu en dehors des valeurs acceptables ', jfiltnu |
PRINT *, 'jfiltnu en dehors des valeurs acceptables ', jfiltnu |
106 |
STOP 1 |
STOP 1 |
107 |
END IF |
END IF |
113 |
END IF |
END IF |
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115 |
IF (jfiltnv <= 0) jfiltnv = 1 |
IF (jfiltnv <= 0) jfiltnv = 1 |
116 |
IF (jfiltnv > jjm/2) THEN |
IF (jfiltnv > jjm / 2) THEN |
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PRINT *, 'jfiltnv en dehors des valeurs acceptables ', jfiltnv |
PRINT *, 'jfiltnv en dehors des valeurs acceptables ', jfiltnv |
118 |
STOP 1 |
STOP 1 |
119 |
END IF |
END IF |
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END DO |
END DO |
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DO j = 2, jfiltnu |
DO j = 2, jfiltnu |
138 |
DO k = 2, modemax |
DO k = 2, iim |
139 |
cof = rlamda(k) * cos(rlatu(j)) |
IF (rlamda(k) * cos(rlatu(j)) < 1.) exit |
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IF (cof < 1.) exit |
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end DO |
end DO |
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if (k == modemax + 1) cycle |
if (k == iim + 1) cycle |
142 |
modfrstu(j) = k |
modfrstu(j) = k |
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144 |
kf = modfrstu(j) |
kf = modfrstu(j) |
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DO k = kf, modemax |
DO k = kf, iim |
146 |
cof = rlamda(k)*cos(rlatu(j)) |
cof = rlamda(k) * cos(rlatu(j)) |
147 |
coefilu(k, j) = cof - 1. |
coefilu(k, j) = cof - 1. |
148 |
coefilu2(k, j) = cof*cof - 1. |
coefilu2(k, j) = cof**2 - 1. |
149 |
end DO |
end DO |
150 |
END DO |
END DO |
151 |
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DO j = 1, jfiltnv |
DO j = 1, jfiltnv |
153 |
DO k = 2, modemax |
DO k = 2, iim |
154 |
cof = rlamda(k)*cos(rlatv(j)) |
IF (rlamda(k) * cos(rlatv(j)) < 1.) exit |
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IF (cof < 1.) exit |
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end DO |
end DO |
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if (k == modemax + 1) cycle |
if (k == iim + 1) cycle |
157 |
modfrstv(j) = k |
modfrstv(j) = k |
158 |
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159 |
kf = modfrstv(j) |
kf = modfrstv(j) |
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DO k = kf, modemax |
DO k = kf, iim |
161 |
cof = rlamda(k)*cos(rlatv(j)) |
cof = rlamda(k) * cos(rlatv(j)) |
162 |
coefilv(k, j) = cof - 1. |
coefilv(k, j) = cof - 1. |
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coefilv2(k, j) = cof*cof - 1. |
coefilv2(k, j) = cof**2 - 1. |
164 |
end DO |
end DO |
165 |
end DO |
end DO |
166 |
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DO j = jfiltsu, jjm |
DO j = jfiltsu, jjm |
168 |
DO k = 2, modemax |
DO k = 2, iim |
169 |
cof = rlamda(k)*cos(rlatu(j)) |
IF (rlamda(k) * cos(rlatu(j)) < 1.) exit |
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IF (cof < 1.) exit |
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end DO |
end DO |
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if (k == modemax + 1) cycle |
if (k == iim + 1) cycle |
172 |
modfrstu(j) = k |
modfrstu(j) = k |
173 |
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174 |
kf = modfrstu(j) |
kf = modfrstu(j) |
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DO k = kf, modemax |
DO k = kf, iim |
176 |
cof = rlamda(k)*cos(rlatu(j)) |
cof = rlamda(k) * cos(rlatu(j)) |
177 |
coefilu(k, j) = cof - 1. |
coefilu(k, j) = cof - 1. |
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coefilu2(k, j) = cof*cof - 1. |
coefilu2(k, j) = cof**2 - 1. |
179 |
end DO |
end DO |
180 |
end DO |
end DO |
181 |
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182 |
DO j = jfiltsv, jjm |
DO j = jfiltsv, jjm |
183 |
DO k = 2, modemax |
DO k = 2, iim |
184 |
cof = rlamda(k)*cos(rlatv(j)) |
IF (rlamda(k) * cos(rlatv(j)) < 1.) exit |
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IF (cof < 1.) exit |
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185 |
end DO |
end DO |
186 |
if (k == modemax + 1) cycle |
if (k == iim + 1) cycle |
187 |
modfrstv(j) = k |
modfrstv(j) = k |
188 |
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189 |
kf = modfrstv(j) |
kf = modfrstv(j) |
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DO k = kf, modemax |
DO k = kf, iim |
191 |
cof = rlamda(k)*cos(rlatv(j)) |
cof = rlamda(k) * cos(rlatv(j)) |
192 |
coefilv(k, j) = cof - 1. |
coefilv(k, j) = cof - 1. |
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coefilv2(k, j) = cof*cof - 1. |
coefilv2(k, j) = cof**2 - 1. |
194 |
end DO |
end DO |
195 |
END DO |
END DO |
196 |
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197 |
IF (jfiltnv>=jjm/2 .OR. jfiltnu>=jjm/2) THEN |
IF (jfiltnv>=jjm / 2 .OR. jfiltnu>=jjm / 2) THEN |
198 |
IF (jfiltnv == jfiltsv) jfiltsv = 1 + jfiltnv |
IF (jfiltnv == jfiltsv) jfiltsv = 1 + jfiltnv |
199 |
IF (jfiltnu == jfiltsu) jfiltsu = 1 + jfiltnu |
IF (jfiltnu == jfiltsu) jfiltsu = 1 + jfiltnu |
200 |
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207 |
PRINT *, 'Modes premiers u ' |
PRINT *, 'Modes premiers u ' |
208 |
PRINT 334, modfrstu |
PRINT 334, modfrstu |
209 |
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210 |
IF (nfilun < jfiltnu) THEN |
allocate(matriceun(iim, iim, 2:jfiltnu), matrinvn(iim, iim, 2:jfiltnu)) |
211 |
PRINT *, 'le parametre nfilun utilise pour la matrice ', & |
allocate(matricevn(iim, iim, jfiltnv)) |
212 |
'matriceun est trop petit ! ' |
allocate(matricevs(iim, iim, jfiltsv:jjm)) |
213 |
PRINT *, 'Le changer dans parafilt.h et le mettre a ', jfiltnu |
allocate(matriceus(iim, iim, jfiltsu:jjm), matrinvs(iim, iim, jfiltsu:jjm)) |
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PRINT *, 'Pour information, nfilun, nfilus, nfilvn, nfilvs ', & |
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'doivent etre egaux successivement a ', jfiltnu, & |
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jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 |
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STOP 1 |
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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 ! ' |
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PRINT *, 'Le changer dans parafilt.h et le mettre a ', & |
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jjm - jfiltsu + 1 |
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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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STOP 1 |
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END IF |
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IF (nfilus > jjm-jfiltsu+3) THEN |
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PRINT *, 'le parametre nfilus utilise pour la matrice ', & |
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'matriceus est trop grand ! ' |
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PRINT *, 'Le changer dans parafilt.h et le mettre a ', & |
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jjm - jfiltsu + 1 |
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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 (nfilvn < jfiltnv) THEN |
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PRINT *, 'le parametre nfilvn utilise pour la matrice ', & |
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'matricevn est trop petit ! ' |
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PRINT *, 'Le changer dans parafilt.h et le mettre a ', jfiltnv |
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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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STOP 1 |
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END IF |
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IF (nfilvn > jfiltnv+2) THEN |
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PRINT *, 'le parametre nfilvn utilise pour la matrice ', & |
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'matricevn est trop grand ! Gachis de memoire ! ' |
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PRINT *, 'Le changer dans parafilt.h et le mettre a ', jfiltnv |
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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 (nfilvs < jjm-jfiltsv+1) THEN |
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PRINT *, 'le parametre nfilvs utilise pour la matrice ', & |
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'matricevs est trop petit ! Le changer dans parafilt.h ' |
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PRINT *, 'Le changer dans parafilt.h et le mettre a ', & |
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jjm - jfiltsv + 1 |
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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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STOP 1 |
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END IF |
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IF (nfilvs > jjm-jfiltsv+3) THEN |
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PRINT *, 'le parametre nfilvs utilise pour la matrice ', & |
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'matricevs est trop grand ! Gachis de memoire ! ' |
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PRINT *, 'Le changer dans parafilt.h et le mettre a ', & |
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jjm - jfiltsv + 1 |
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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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214 |
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215 |
! Calcul de la matrice filtre 'matriceu' pour les champs situes |
! Calcul de la matrice filtre 'matriceu' pour les champs situes |
216 |
! sur la grille scalaire |
! sur la grille scalaire |
222 |
else |
else |
223 |
coff = coefilu(i, j) |
coff = coefilu(i, j) |
224 |
end IF |
end IF |
225 |
eignft(i, :) = eignfnv(:, i)*coff |
eignft(i, :) = eignfnv(:, i) * coff |
226 |
END DO |
END DO |
227 |
matriceun(:, :, j) = matmul(eignfnv, eignft) |
matriceun(:, :, j) = matmul(eignfnv, eignft) |
228 |
END DO |
END DO |
236 |
end IF |
end IF |
237 |
eignft(i, :) = eignfnv(:, i) * coff |
eignft(i, :) = eignfnv(:, i) * coff |
238 |
END DO |
END DO |
239 |
matriceus(:, :, j - jfiltsu + 1) = matmul(eignfnv, eignft) |
matriceus(:, :, j) = matmul(eignfnv, eignft) |
240 |
END DO |
END DO |
241 |
|
|
242 |
! Calcul de la matrice filtre 'matricev' pour les champs situes |
! Calcul de la matrice filtre 'matricev' pour les champs situes |
249 |
else |
else |
250 |
coff = coefilv(i, j) |
coff = coefilv(i, j) |
251 |
end IF |
end IF |
252 |
eignft(i, :) = eignfnu(:, i)*coff |
eignft(i, :) = eignfnu(:, i) * coff |
253 |
END DO |
END DO |
254 |
matricevn(:, :, j) = matmul(eignfnu, eignft) |
matricevn(:, :, j) = matmul(eignfnu, eignft) |
255 |
END DO |
END DO |
261 |
else |
else |
262 |
coff = coefilv(i, j) |
coff = coefilv(i, j) |
263 |
end IF |
end IF |
264 |
eignft(i, :) = eignfnu(:, i)*coff |
eignft(i, :) = eignfnu(:, i) * coff |
265 |
END DO |
END DO |
266 |
matricevs(:, :, j-jfiltsv+1) = matmul(eignfnu, eignft) |
matricevs(:, :, j) = matmul(eignfnu, eignft) |
267 |
END DO |
END DO |
268 |
|
|
269 |
! Calcul de la matrice filtre 'matrinv' pour les champs situes |
! Calcul de la matrice filtre 'matrinv' pour les champs situes |
274 |
IF (i < modfrstu(j)) then |
IF (i < modfrstu(j)) then |
275 |
coff = 0. |
coff = 0. |
276 |
else |
else |
277 |
coff = coefilu(i, j)/(1.+coefilu(i, j)) |
coff = coefilu(i, j) / (1. + coefilu(i, j)) |
278 |
end IF |
end IF |
279 |
eignft(i, :) = eignfnv(:, i)*coff |
eignft(i, :) = eignfnv(:, i) * coff |
280 |
END DO |
END DO |
281 |
matrinvn(:, :, j) = matmul(eignfnv, eignft) |
matrinvn(:, :, j) = matmul(eignfnv, eignft) |
282 |
END DO |
END DO |
286 |
IF (i < modfrstu(j)) then |
IF (i < modfrstu(j)) then |
287 |
coff = 0. |
coff = 0. |
288 |
else |
else |
289 |
coff = coefilu(i, j)/(1.+coefilu(i, j)) |
coff = coefilu(i, j) / (1. + coefilu(i, j)) |
290 |
end IF |
end IF |
291 |
eignft(i, :) = eignfnv(:, i)*coff |
eignft(i, :) = eignfnv(:, i) * coff |
292 |
END DO |
END DO |
293 |
matrinvs(:, :, j-jfiltsu+1) = matmul(eignfnv, eignft) |
matrinvs(:, :, j) = matmul(eignfnv, eignft) |
294 |
END DO |
END DO |
295 |
|
|
296 |
334 FORMAT (1X, 24I3) |
334 FORMAT (1X, 24I3) |