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SUBROUTINE inifilr |
module inifilr_m |
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! From filtrez/inifilr.F,v 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 laplacien |
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! on the stretched grid, and the filtering coefficients |
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! We designate: |
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! eignfn eigenfunctions of the discrete laplacien |
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! eigenvl eigenvalues |
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! jfiltn indexof 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 |
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USE paramet_m |
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USE logic |
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USE comgeom |
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USE serre |
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USE parafilt |
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USE coefils |
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2 |
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3 |
IMPLICIT NONE |
IMPLICIT NONE |
4 |
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5 |
REAL dlonu(iim), dlatu(jjm) |
! North: |
6 |
REAL rlamda(iim), eignvl(iim) |
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INTEGER jfiltnu, jfiltnv |
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! index of the last scalar line filtered in northern hemisphere |
9 |
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10 |
REAL lamdamax, pi, cof |
real, allocatable:: matriceun(:, :, :), matrinvn(:, :, :) |
11 |
INTEGER i, j, modemax, imx, k, kf, ii |
! (iim, iim, 2:jfiltnu) |
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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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pi = 2.*asin(1.) |
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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 250, eignvl |
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250 FORMAT (1X,5E13.6) |
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! compute eigenvalues and eigenfunctions |
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!................................................................. |
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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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! ..... colat0 = minimum de ( 0.5, min dy/ min dx ) ... |
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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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! ...... a revoir pour ysinus ! ....... |
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alphax = 0. |
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END IF |
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PRINT 50, colat0, alphax |
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50 FORMAT (/15X,' Inifilr colat0 alphax ',2E16.7) |
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IF (alphax==1.) THEN |
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PRINT *, ' Inifilr 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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DO i = 2, iim |
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rlamda(i) = lamdamax/sqrt(abs(eignvl(i))) |
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END DO |
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DO j = 1, jjm |
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DO i = 1, iim |
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coefilu(i,j) = 0.0 |
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coefilv(i,j) = 0.0 |
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coefilu2(i,j) = 0.0 |
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coefilv2(i,j) = 0.0 |
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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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! ......................................................... |
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modemax = iim |
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!ccc imx = modemax - 4 * (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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cof = cos(rlatu(j))/colat0 |
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IF (cof<1.) THEN |
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IF (rlamda(imx)*cos(rlatu(j))<1.) jfiltnu = j |
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END IF |
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cof = cos(rlatu(jjp1-j+1))/colat0 |
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IF (cof<1.) THEN |
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IF (rlamda(imx)*cos(rlatu(jjp1-j+1))<1.) jfiltsu = jjp1 - j + 1 |
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END IF |
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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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!................................................................ |
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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.) GO TO 82 |
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end DO |
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cycle |
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82 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.) GO TO 87 |
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end DO |
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cycle |
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87 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.) GO TO 92 |
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end DO |
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cycle |
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92 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.) GO TO 97 |
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end DO |
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cycle |
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97 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, jjm - jfiltsu + 1, & |
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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 ', jfiltnu, jjm - jfiltsu + 1, & |
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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 ', jfiltnu, jjm - jfiltsu + 1, & |
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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 ', jfiltnu, jjm - jfiltsu + 1, & |
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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 ', jfiltnu, jjm - jfiltsu + 1, & |
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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 ', jfiltnu, jjm - jfiltsu + 1, & |
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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 ', jfiltnu, jjm - jfiltsu + 1, & |
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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 ', jfiltnu, jjm - jfiltsu + 1, & |
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jfiltnv, jjm - jfiltsv + 1 |
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END IF |
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! ... Calcul de la matrice filtre 'matriceu' pour les champs situes |
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! sur la grille scalaire ........ |
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DO j = 2, jfiltnu |
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DO i = 1, iim |
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coff = coefilu(i,j) |
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IF (i<modfrstu(j)) coff = 0. |
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DO k = 1, iim |
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eignft(i,k) = eignfnv(k,i)*coff |
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END DO |
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END DO |
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DO k = 1, iim |
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DO i = 1, iim |
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matriceun(i,k,j) = 0.0 |
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DO ii = 1, iim |
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matriceun(i,k,j) = matriceun(i,k,j) + eignfnv(i,ii)*eignft(ii,k) |
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END DO |
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END DO |
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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 i = 1, iim |
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coff = coefilu(i,j) |
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IF (i<modfrstu(j)) coff = 0. |
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DO k = 1, iim |
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eignft(i,k) = eignfnv(k,i)*coff |
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END DO |
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END DO |
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DO k = 1, iim |
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DO i = 1, iim |
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matriceus(i,k,j-jfiltsu+1) = 0.0 |
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DO ii = 1, iim |
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matriceus(i,k,j-jfiltsu+1) = matriceus(i,k,j-jfiltsu+1) + & |
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eignfnv(i,ii)*eignft(ii,k) |
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END DO |
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END DO |
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END DO |
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END DO |
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! ................................................................... |
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! ... Calcul de la matrice filtre 'matricev' pour les champs situes |
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! sur la grille de V ou de Z ........ |
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! ................................................................... |
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DO j = 1, jfiltnv |
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DO i = 1, iim |
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coff = coefilv(i,j) |
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IF (i<modfrstv(j)) coff = 0. |
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DO k = 1, iim |
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eignft(i,k) = eignfnu(k,i)*coff |
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END DO |
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END DO |
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DO k = 1, iim |
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DO i = 1, iim |
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matricevn(i,k,j) = 0.0 |
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DO ii = 1, iim |
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matricevn(i,k,j) = matricevn(i,k,j) + eignfnu(i,ii)*eignft(ii,k) |
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END DO |
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END DO |
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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 i = 1, iim |
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coff = coefilv(i,j) |
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IF (i<modfrstv(j)) coff = 0. |
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DO k = 1, iim |
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eignft(i,k) = eignfnu(k,i)*coff |
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END DO |
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END DO |
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DO k = 1, iim |
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DO i = 1, iim |
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matricevs(i,k,j-jfiltsv+1) = 0.0 |
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DO ii = 1, iim |
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matricevs(i,k,j-jfiltsv+1) = matricevs(i,k,j-jfiltsv+1) + & |
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eignfnu(i,ii)*eignft(ii,k) |
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END DO |
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END DO |
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END DO |
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END DO |
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! ................................................................... |
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! ... Calcul de la matrice filtre 'matrinv' pour les champs situes |
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! sur la grille scalaire , pour le filtre inverse ........ |
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! ................................................................... |
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DO j = 2, jfiltnu |
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DO i = 1, iim |
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coff = coefilu(i,j)/(1.+coefilu(i,j)) |
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IF (i<modfrstu(j)) coff = 0. |
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DO k = 1, iim |
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eignft(i,k) = eignfnv(k,i)*coff |
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END DO |
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END DO |
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DO k = 1, iim |
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DO i = 1, iim |
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matrinvn(i,k,j) = 0.0 |
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DO ii = 1, iim |
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matrinvn(i,k,j) = matrinvn(i,k,j) + eignfnv(i,ii)*eignft(ii,k) |
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END DO |
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END DO |
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END DO |
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|
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END DO |
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|
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DO j = jfiltsu, jjm |
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|
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DO i = 1, iim |
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coff = coefilu(i,j)/(1.+coefilu(i,j)) |
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IF (i<modfrstu(j)) coff = 0. |
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DO k = 1, iim |
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eignft(i,k) = eignfnv(k,i)*coff |
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END DO |
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END DO |
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DO k = 1, iim |
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DO i = 1, iim |
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matrinvs(i,k,j-jfiltsu+1) = 0.0 |
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DO ii = 1, iim |
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matrinvs(i,k,j-jfiltsu+1) = matrinvs(i,k,j-jfiltsu+1) + & |
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eignfnv(i,ii)*eignft(ii,k) |
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END DO |
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END DO |
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END DO |
|
12 |
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|
13 |
END DO |
real, allocatable:: matricevn(:, :, :) ! (iim, iim, jfiltnv) |
14 |
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|
15 |
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! South: |
16 |
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|
17 |
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integer jfiltsu, jfiltsv |
18 |
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! index of the first line filtered in southern hemisphere |
19 |
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|
20 |
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real, allocatable:: matriceus(:, :, :), matrinvs(:, :, :) |
21 |
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! (iim, iim, jfiltsu:jjm) |
22 |
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|
23 |
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real, allocatable:: matricevs(:, :, :) ! (iim, iim, jfiltsv:jjm) |
24 |
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|
25 |
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contains |
26 |
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|
27 |
|
SUBROUTINE inifilr |
28 |
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|
29 |
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! From filtrez/inifilr.F, version 1.1.1.1, 2004/05/19 12:53:09 |
30 |
|
! H. Upadhyaya, O. Sharma |
31 |
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|
32 |
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! This procedure computes the filtering coefficients for scalar |
33 |
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! lines and meridional wind v lines. The modes are filtered from |
34 |
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! modfrst to iim. We filter all those latitude lines where coefil |
35 |
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! < 1. No filtering at poles. colat0 is to be used when alpha |
36 |
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! (stretching coefficient) is set equal to zero for the regular |
37 |
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! grid case. |
38 |
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|
39 |
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USE dimens_m, ONLY : iim, jjm |
40 |
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USE dynetat0_m, ONLY : rlatu, rlatv, xprimu, grossismx |
41 |
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use inifgn_m, only: inifgn |
42 |
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use jumble, only: new_unit |
43 |
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use nr_util, only: pi |
44 |
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|
45 |
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! Local: |
46 |
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|
47 |
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REAL dlatu(jjm) |
48 |
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REAL rlamda(2: iim) |
49 |
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real eignvl(iim) ! eigenvalues sorted in descending order (<= 0) |
50 |
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INTEGER i, j, unit |
51 |
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REAL colat0 ! > 0 |
52 |
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REAL eignft(iim, iim) |
53 |
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|
54 |
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real eignfnu(iim, iim), eignfnv(iim, iim) |
55 |
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! eigenvectors of the discrete second derivative with respect to longitude |
56 |
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|
57 |
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! Filtering coefficients (lamda_max * cos(rlat) / lamda): |
58 |
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real, allocatable:: coefilnu(:, :) ! (iim, 2:jfiltnu) |
59 |
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real, allocatable:: coefilsu(:, :) ! (iim, jfiltsu:jjm) |
60 |
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real, allocatable:: coefilnv(:, :) ! (iim, jfiltnv) |
61 |
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real, allocatable:: coefilsv(:, :) ! (iim, jfiltsv:jjm) |
62 |
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|
63 |
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! Index of the mode from where modes are filtered: |
64 |
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integer, allocatable:: modfrstnu(:) ! (2:jfiltnu) |
65 |
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integer, allocatable:: modfrstsu(:) ! (jfiltsu:jjm) |
66 |
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integer, allocatable:: modfrstnv(:) ! (jfiltnv) |
67 |
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integer, allocatable:: modfrstsv(:) ! (jfiltsv:jjm) |
68 |
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|
69 |
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!----------------------------------------------------------- |
70 |
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|
71 |
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print *, "Call sequence information: inifilr" |
72 |
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|
73 |
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CALL inifgn(eignvl, eignfnu, eignfnv) |
74 |
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|
75 |
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! Calcul de colat0 |
76 |
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forall (j = 1:jjm) dlatu(j) = rlatu(j) - rlatu(j + 1) |
77 |
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colat0 = min(0.5, minval(dlatu) / minval(xprimu(:iim))) |
78 |
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PRINT *, 'colat0 = ', colat0 |
79 |
|
|
80 |
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rlamda = iim / (pi * colat0 / grossismx) / sqrt(- eignvl(2: iim)) |
81 |
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|
82 |
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! Determination de jfiltnu, jfiltsu, jfiltnv, jfiltsv |
83 |
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|
84 |
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jfiltnu = (jjm + 1) / 2 |
85 |
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do while (cos(rlatu(jfiltnu)) >= colat0 & |
86 |
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.or. rlamda(iim) * cos(rlatu(jfiltnu)) >= 1.) |
87 |
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jfiltnu = jfiltnu - 1 |
88 |
|
end do |
89 |
|
|
90 |
|
jfiltsu = jjm / 2 + 2 |
91 |
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do while (cos(rlatu(jfiltsu)) >= colat0 & |
92 |
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.or. rlamda(iim) * cos(rlatu(jfiltsu)) >= 1.) |
93 |
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jfiltsu = jfiltsu + 1 |
94 |
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end do |
95 |
|
|
96 |
|
jfiltnv = jjm / 2 |
97 |
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do while ((cos(rlatv(jfiltnv)) >= colat0 & |
98 |
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.or. rlamda(iim) * cos(rlatv(jfiltnv)) >= 1.) .and. jfiltnv >= 2) |
99 |
|
jfiltnv = jfiltnv - 1 |
100 |
|
end do |
101 |
|
|
102 |
|
if (cos(rlatv(jfiltnv)) >= colat0 & |
103 |
|
.or. rlamda(iim) * cos(rlatv(jfiltnv)) >= 1.) then |
104 |
|
! {jfiltnv == 1} |
105 |
|
PRINT *, 'Could not find jfiltnv.' |
106 |
|
STOP 1 |
107 |
|
END IF |
108 |
|
|
109 |
|
jfiltsv = (jjm + 1)/ 2 + 1 |
110 |
|
do while ((cos(rlatv(jfiltsv)) >= colat0 & |
111 |
|
.or. rlamda(iim) * cos(rlatv(jfiltsv)) >= 1.) .and. jfiltsv <= jjm - 1) |
112 |
|
jfiltsv = jfiltsv + 1 |
113 |
|
end do |
114 |
|
|
115 |
|
IF (cos(rlatv(jfiltsv)) >= colat0 & |
116 |
|
.or. rlamda(iim) * cos(rlatv(jfiltsv)) >= 1.) THEN |
117 |
|
! {jfiltsv == jjm} |
118 |
|
PRINT *, 'Could not find jfiltsv.' |
119 |
|
STOP 1 |
120 |
|
END IF |
121 |
|
|
122 |
|
PRINT *, 'jfiltnu =', jfiltnu |
123 |
|
PRINT *, 'jfiltsu =', jfiltsu |
124 |
|
PRINT *, 'jfiltnv =', jfiltnv |
125 |
|
PRINT *, 'jfiltsv =', jfiltsv |
126 |
|
|
127 |
|
! D\'etermination de coefil[ns][uv], modfrst[ns][uv]: |
128 |
|
|
129 |
|
allocate(modfrstnu(2:jfiltnu), modfrstsu(jfiltsu:jjm)) |
130 |
|
allocate(modfrstnv(jfiltnv), modfrstsv(jfiltsv:jjm)) |
131 |
|
allocate(coefilnu(iim, 2:jfiltnu), coefilsu(iim, jfiltsu:jjm)) |
132 |
|
allocate(coefilnv(iim, jfiltnv), coefilsv(iim, jfiltsv:jjm)) |
133 |
|
|
134 |
|
coefilnu = 0. |
135 |
|
coefilnv = 0. |
136 |
|
coefilsu = 0. |
137 |
|
coefilsv = 0. |
138 |
|
|
139 |
|
DO j = 2, jfiltnu |
140 |
|
modfrstnu(j) = 2 |
141 |
|
do while (rlamda(modfrstnu(j)) * cos(rlatu(j)) >= 1. & |
142 |
|
.and. modfrstnu(j) <= iim - 1) |
143 |
|
modfrstnu(j) = modfrstnu(j) + 1 |
144 |
|
end do |
145 |
|
|
146 |
|
if (rlamda(modfrstnu(j)) * cos(rlatu(j)) < 1.) then |
147 |
|
DO i = modfrstnu(j), iim |
148 |
|
coefilnu(i, j) = rlamda(i) * cos(rlatu(j)) - 1. |
149 |
|
end DO |
150 |
|
end if |
151 |
|
END DO |
152 |
|
|
153 |
|
DO j = 1, jfiltnv |
154 |
|
modfrstnv(j) = 2 |
155 |
|
do while (rlamda(modfrstnv(j)) * cos(rlatv(j)) >= 1. & |
156 |
|
.and. modfrstnv(j) <= iim - 1) |
157 |
|
modfrstnv(j) = modfrstnv(j) + 1 |
158 |
|
end do |
159 |
|
|
160 |
|
if (rlamda(modfrstnv(j)) * cos(rlatv(j)) < 1.) then |
161 |
|
DO i = modfrstnv(j), iim |
162 |
|
coefilnv(i, j) = rlamda(i) * cos(rlatv(j)) - 1. |
163 |
|
end DO |
164 |
|
end if |
165 |
|
end DO |
166 |
|
|
167 |
|
DO j = jfiltsu, jjm |
168 |
|
modfrstsu(j) = 2 |
169 |
|
do while (rlamda(modfrstsu(j)) * cos(rlatu(j)) >= 1. & |
170 |
|
.and. modfrstsu(j) <= iim - 1) |
171 |
|
modfrstsu(j) = modfrstsu(j) + 1 |
172 |
|
end do |
173 |
|
|
174 |
|
if (rlamda(modfrstsu(j)) * cos(rlatu(j)) < 1.) then |
175 |
|
DO i = modfrstsu(j), iim |
176 |
|
coefilsu(i, j) = rlamda(i) * cos(rlatu(j)) - 1. |
177 |
|
end DO |
178 |
|
end if |
179 |
|
end DO |
180 |
|
|
181 |
|
DO j = jfiltsv, jjm |
182 |
|
modfrstsv(j) = 2 |
183 |
|
do while (rlamda(modfrstsv(j)) * cos(rlatv(j)) >= 1. & |
184 |
|
.and. modfrstsv(j) <= iim - 1) |
185 |
|
modfrstsv(j) = modfrstsv(j) + 1 |
186 |
|
end do |
187 |
|
|
188 |
|
if (rlamda(modfrstsv(j)) * cos(rlatv(j)) < 1.) then |
189 |
|
DO i = modfrstsv(j), iim |
190 |
|
coefilsv(i, j) = rlamda(i) * cos(rlatv(j)) - 1. |
191 |
|
end DO |
192 |
|
end if |
193 |
|
END DO |
194 |
|
|
195 |
|
call new_unit(unit) |
196 |
|
open(unit, file = "inifilr_out.txt", status = "replace", action = "write") |
197 |
|
write(unit, fmt = *) '"EIGNVL"', eignvl |
198 |
|
write(unit, fmt = *) '"modfrstnu"', modfrstnu |
199 |
|
write(unit, fmt = *) '"modfrstsu"', modfrstsu |
200 |
|
write(unit, fmt = *) '"modfrstnv"', modfrstnv |
201 |
|
write(unit, fmt = *) '"modfrstsv"', modfrstsv |
202 |
|
close(unit) |
203 |
|
|
204 |
|
allocate(matriceun(iim, iim, 2:jfiltnu), matrinvn(iim, iim, 2:jfiltnu)) |
205 |
|
allocate(matricevn(iim, iim, jfiltnv)) |
206 |
|
allocate(matricevs(iim, iim, jfiltsv:jjm)) |
207 |
|
allocate(matriceus(iim, iim, jfiltsu:jjm), matrinvs(iim, iim, jfiltsu:jjm)) |
208 |
|
|
209 |
|
! Calcul de la matrice filtre 'matriceu' pour les champs situes |
210 |
|
! sur la grille scalaire |
211 |
|
|
212 |
|
DO j = 2, jfiltnu |
213 |
|
eignft(:modfrstnu(j) - 1, :) = 0. |
214 |
|
forall (i = modfrstnu(j):iim) eignft(i, :) = eignfnv(:, i) & |
215 |
|
* coefilnu(i, j) |
216 |
|
matriceun(:, :, j) = matmul(eignfnv, eignft) |
217 |
|
END DO |
218 |
|
|
219 |
|
DO j = jfiltsu, jjm |
220 |
|
eignft(:modfrstsu(j) - 1, :) = 0. |
221 |
|
forall (i = modfrstsu(j):iim) eignft(i, :) = eignfnv(:, i) & |
222 |
|
* coefilsu(i, j) |
223 |
|
matriceus(:, :, j) = matmul(eignfnv, eignft) |
224 |
|
END DO |
225 |
|
|
226 |
|
! Calcul de la matrice filtre 'matricev' pour les champs situes |
227 |
|
! sur la grille de V ou de Z |
228 |
|
|
229 |
|
DO j = 1, jfiltnv |
230 |
|
eignft(:modfrstnv(j) - 1, :) = 0. |
231 |
|
forall (i = modfrstnv(j): iim) eignft(i, :) = eignfnu(:, i) & |
232 |
|
* coefilnv(i, j) |
233 |
|
matricevn(:, :, j) = matmul(eignfnu, eignft) |
234 |
|
END DO |
235 |
|
|
236 |
|
DO j = jfiltsv, jjm |
237 |
|
eignft(:modfrstsv(j) - 1, :) = 0. |
238 |
|
forall (i = modfrstsv(j):iim) eignft(i, :) = eignfnu(:, i) & |
239 |
|
* coefilsv(i, j) |
240 |
|
matricevs(:, :, j) = matmul(eignfnu, eignft) |
241 |
|
END DO |
242 |
|
|
243 |
|
! Calcul de la matrice filtre 'matrinv' pour les champs situes |
244 |
|
! sur la grille scalaire , pour le filtre inverse |
245 |
|
|
246 |
|
DO j = 2, jfiltnu |
247 |
|
eignft(:modfrstnu(j) - 1, :) = 0. |
248 |
|
forall (i = modfrstnu(j):iim) eignft(i, :) = eignfnv(:, i) & |
249 |
|
* coefilnu(i, j) / (1. + coefilnu(i, j)) |
250 |
|
matrinvn(:, :, j) = matmul(eignfnv, eignft) |
251 |
|
END DO |
252 |
|
|
253 |
|
DO j = jfiltsu, jjm |
254 |
|
eignft(:modfrstsu(j) - 1, :) = 0. |
255 |
|
forall (i = modfrstsu(j):iim) eignft(i, :) = eignfnv(:, i) & |
256 |
|
* coefilsu(i, j) / (1. + coefilsu(i, j)) |
257 |
|
matrinvs(:, :, j) = matmul(eignfnv, eignft) |
258 |
|
END DO |
259 |
|
|
260 |
334 FORMAT (1X,24I3) |
END SUBROUTINE inifilr |
|
755 FORMAT (1X,6F10.3,I3) |
|
261 |
|
|
262 |
END SUBROUTINE inifilr |
end module inifilr_m |