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module inifilr_m |
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use dimens_m, only: iim |
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IMPLICIT NONE |
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INTEGER jfiltnu, jfiltsu, jfiltnv, jfiltsv |
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INTEGER, PARAMETER:: nfilun=3, nfilus=2, nfilvn=2, nfilvs=2 |
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real matriceun(iim,iim,nfilun), matriceus(iim,iim,nfilus) |
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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 |
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contains |
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SUBROUTINE inifilr |
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! From filtrez/inifilr.F, version 1.1.1.1 2004/05/19 12:53:09 |
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! H. Upadhyaya, O. Sharma |
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! This routine computes the eigenfunctions of the laplacian on the |
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! stretched grid, and the filtering coefficients. |
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! We designate: |
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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 |
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use conf_gcm_m, ONLY : fxyhypb, ysinus |
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USE comgeom, ONLY : rlatu, rlatv, xprimu |
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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: |
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REAL dlonu(iim), dlatu(jjm) |
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REAL rlamda(2: iim), eignvl(iim) |
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REAL lamdamax, cof |
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INTEGER i, j, modemax, imx, k, kf |
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REAL dymin, dxmin, colat0 |
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REAL eignft(iim, iim), coff |
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EXTERNAL inifgn |
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!----------------------------------------------------------- |
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print *, "Call sequence information: inifilr" |
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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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CALL inifgn(eignvl) |
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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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! Calcul de colat0 |
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DO j = 1, jjm |
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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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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 |
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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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IF (cos(rlatu(jjm - j + 2)) / colat0 < 1. & |
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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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IF (jfiltsu <= 0) jfiltsu = 1 |
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IF (jfiltsu > jjm + 1) THEN |
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PRINT *, 'jfiltsu en dehors des valeurs acceptables ', jfiltsu |
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STOP 1 |
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END IF |
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IF (jfiltnv <= 0) jfiltnv = 1 |
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IF (jfiltnv > jjm/2) THEN |
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PRINT *, 'jfiltnv en dehors des valeurs acceptables ', jfiltnv |
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STOP 1 |
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END IF |
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IF (jfiltsv <= 0) jfiltsv = 1 |
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IF (jfiltsv > jjm) THEN |
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PRINT *, 'jfiltsv en dehors des valeurs acceptables ', jfiltsv |
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STOP 1 |
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END IF |
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PRINT *, 'jfiltnv jfiltsv jfiltnu jfiltsu ', jfiltnv, jfiltsv, jfiltnu, & |
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jfiltsu |
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! Determination de coefilu, coefilv, n=modfrstu, modfrstv |
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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 |
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DO k = 2, modemax |
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cof = rlamda(k) * cos(rlatu(j)) |
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IF (cof < 1.) exit |
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end DO |
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if (k == modemax + 1) cycle |
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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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END DO |
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DO j = 1, jfiltnv |
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DO k = 2, modemax |
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cof = rlamda(k)*cos(rlatv(j)) |
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IF (cof < 1.) exit |
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end DO |
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if (k == modemax + 1) cycle |
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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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end DO |
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DO j = jfiltsu, jjm |
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DO k = 2, modemax |
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cof = rlamda(k)*cos(rlatu(j)) |
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IF (cof < 1.) exit |
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end DO |
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if (k == modemax + 1) cycle |
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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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end DO |
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DO j = jfiltsv, jjm |
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DO k = 2, modemax |
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cof = rlamda(k)*cos(rlatv(j)) |
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IF (cof < 1.) exit |
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end DO |
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if (k == modemax + 1) cycle |
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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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END DO |
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IF (jfiltnv>=jjm/2 .OR. jfiltnu>=jjm/2) THEN |
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IF (jfiltnv == jfiltsv) jfiltsv = 1 + jfiltnv |
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IF (jfiltnu == jfiltsu) jfiltsu = 1 + jfiltnu |
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PRINT *, 'jfiltnv jfiltsv jfiltnu jfiltsu', jfiltnv, jfiltsv, jfiltnu, & |
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jfiltsu |
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END IF |
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PRINT *, 'Modes premiers v ' |
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PRINT 334, modfrstv |
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PRINT *, 'Modes premiers u ' |
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PRINT 334, modfrstu |
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IF (nfilun < jfiltnu) THEN |
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PRINT *, 'le parametre nfilun utilise pour la matrice ', & |
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'matriceun est trop petit ! ' |
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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 ', 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 ', & |
300 |
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jfiltnu, jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 |
301 |
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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 ! ' |
306 |
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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 ', & |
309 |
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jfiltnu, jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 |
310 |
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END IF |
311 |
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IF (nfilvs < jjm-jfiltsv+1) THEN |
312 |
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PRINT *, 'le parametre nfilvs utilise pour la matrice ', & |
313 |
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'matricevs est trop petit ! Le changer dans parafilt.h ' |
314 |
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PRINT *, 'Le changer dans parafilt.h et le mettre a ', & |
315 |
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jjm - jfiltsv + 1 |
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PRINT *, 'Pour information , nfilun, nfilus, nfilvn, nfilvs ', & |
317 |
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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 ', & |
323 |
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'matricevs est trop grand ! Gachis de memoire ! ' |
324 |
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PRINT *, 'Le changer dans parafilt.h et le mettre a ', & |
325 |
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jjm - jfiltsv + 1 |
326 |
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PRINT *, 'Pour information , nfilun, nfilus, nfilvn, nfilvs ', & |
327 |
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'doivent etre egaux successivement a ', & |
328 |
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jfiltnu, jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 |
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END IF |
330 |
guez |
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331 |
guez |
54 |
! Calcul de la matrice filtre 'matriceu' pour les champs situes |
332 |
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! sur la grille scalaire |
333 |
guez |
32 |
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334 |
guez |
54 |
DO j = 2, jfiltnu |
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DO i = 1, iim |
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IF (i < modfrstu(j)) then |
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coff = 0. |
338 |
|
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else |
339 |
|
|
coff = coefilu(i, j) |
340 |
|
|
end IF |
341 |
|
|
eignft(i, :) = eignfnv(:, i)*coff |
342 |
|
|
END DO |
343 |
|
|
matriceun(:, :, j) = matmul(eignfnv, eignft) |
344 |
|
|
END DO |
345 |
guez |
32 |
|
346 |
guez |
54 |
DO j = jfiltsu, jjm |
347 |
|
|
DO i = 1, iim |
348 |
|
|
IF (i < modfrstu(j)) then |
349 |
|
|
coff = 0. |
350 |
|
|
else |
351 |
|
|
coff = coefilu(i, j) |
352 |
|
|
end IF |
353 |
|
|
eignft(i, :) = eignfnv(:, i) * coff |
354 |
|
|
END DO |
355 |
|
|
matriceus(:, :, j - jfiltsu + 1) = matmul(eignfnv, eignft) |
356 |
|
|
END DO |
357 |
guez |
32 |
|
358 |
guez |
54 |
! Calcul de la matrice filtre 'matricev' pour les champs situes |
359 |
|
|
! sur la grille de V ou de Z |
360 |
guez |
32 |
|
361 |
guez |
54 |
DO j = 1, jfiltnv |
362 |
|
|
DO i = 1, iim |
363 |
|
|
IF (i < modfrstv(j)) then |
364 |
|
|
coff = 0. |
365 |
|
|
else |
366 |
|
|
coff = coefilv(i, j) |
367 |
|
|
end IF |
368 |
|
|
eignft(i, :) = eignfnu(:, i)*coff |
369 |
|
|
END DO |
370 |
|
|
matricevn(:, :, j) = matmul(eignfnu, eignft) |
371 |
|
|
END DO |
372 |
guez |
32 |
|
373 |
guez |
54 |
DO j = jfiltsv, jjm |
374 |
|
|
DO i = 1, iim |
375 |
|
|
IF (i < modfrstv(j)) then |
376 |
|
|
coff = 0. |
377 |
|
|
else |
378 |
|
|
coff = coefilv(i, j) |
379 |
|
|
end IF |
380 |
|
|
eignft(i, :) = eignfnu(:, i)*coff |
381 |
|
|
END DO |
382 |
|
|
matricevs(:, :, j-jfiltsv+1) = matmul(eignfnu, eignft) |
383 |
|
|
END DO |
384 |
guez |
32 |
|
385 |
guez |
54 |
! Calcul de la matrice filtre 'matrinv' pour les champs situes |
386 |
|
|
! sur la grille scalaire , pour le filtre inverse |
387 |
guez |
32 |
|
388 |
guez |
54 |
DO j = 2, jfiltnu |
389 |
|
|
DO i = 1, iim |
390 |
|
|
IF (i < modfrstu(j)) then |
391 |
|
|
coff = 0. |
392 |
|
|
else |
393 |
|
|
coff = coefilu(i, j)/(1.+coefilu(i, j)) |
394 |
|
|
end IF |
395 |
|
|
eignft(i, :) = eignfnv(:, i)*coff |
396 |
|
|
END DO |
397 |
|
|
matrinvn(:, :, j) = matmul(eignfnv, eignft) |
398 |
|
|
END DO |
399 |
guez |
32 |
|
400 |
guez |
54 |
DO j = jfiltsu, jjm |
401 |
|
|
DO i = 1, iim |
402 |
|
|
IF (i < modfrstu(j)) then |
403 |
|
|
coff = 0. |
404 |
|
|
else |
405 |
|
|
coff = coefilu(i, j)/(1.+coefilu(i, j)) |
406 |
|
|
end IF |
407 |
|
|
eignft(i, :) = eignfnv(:, i)*coff |
408 |
|
|
END DO |
409 |
|
|
matrinvs(:, :, j-jfiltsu+1) = matmul(eignfnv, eignft) |
410 |
|
|
END DO |
411 |
guez |
32 |
|
412 |
guez |
54 |
334 FORMAT (1X, 24I3) |
413 |
guez |
32 |
|
414 |
guez |
54 |
END SUBROUTINE inifilr |
415 |
guez |
32 |
|
416 |
guez |
54 |
end module inifilr_m |