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SUBROUTINE inifilr |
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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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IMPLICIT NONE |
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REAL dlonu(iim), dlatu(jjm) |
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REAL rlamda(iim), eignvl(iim) |
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REAL lamdamax, pi, cof |
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INTEGER i, j, modemax, imx, k, kf, ii |
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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 |
359 |
|
|
DO k = 1, iim |
360 |
|
|
DO i = 1, iim |
361 |
|
|
matriceun(i,k,j) = 0.0 |
362 |
|
|
DO ii = 1, iim |
363 |
|
|
matriceun(i,k,j) = matriceun(i,k,j) + eignfnv(i,ii)*eignft(ii,k) |
364 |
|
|
END DO |
365 |
|
|
END DO |
366 |
|
|
END DO |
367 |
|
|
|
368 |
|
|
END DO |
369 |
|
|
|
370 |
|
|
DO j = jfiltsu, jjm |
371 |
|
|
|
372 |
|
|
DO i = 1, iim |
373 |
|
|
coff = coefilu(i,j) |
374 |
|
|
IF (i<modfrstu(j)) coff = 0. |
375 |
|
|
DO k = 1, iim |
376 |
|
|
eignft(i,k) = eignfnv(k,i)*coff |
377 |
|
|
END DO |
378 |
|
|
END DO |
379 |
|
|
DO k = 1, iim |
380 |
|
|
DO i = 1, iim |
381 |
|
|
matriceus(i,k,j-jfiltsu+1) = 0.0 |
382 |
|
|
DO ii = 1, iim |
383 |
|
|
matriceus(i,k,j-jfiltsu+1) = matriceus(i,k,j-jfiltsu+1) + & |
384 |
|
|
eignfnv(i,ii)*eignft(ii,k) |
385 |
|
|
END DO |
386 |
|
|
END DO |
387 |
|
|
END DO |
388 |
|
|
|
389 |
|
|
END DO |
390 |
|
|
|
391 |
|
|
! ................................................................... |
392 |
|
|
|
393 |
|
|
! ... Calcul de la matrice filtre 'matricev' pour les champs situes |
394 |
|
|
! sur la grille de V ou de Z ........ |
395 |
|
|
! ................................................................... |
396 |
|
|
|
397 |
|
|
DO j = 1, jfiltnv |
398 |
|
|
|
399 |
|
|
DO i = 1, iim |
400 |
|
|
coff = coefilv(i,j) |
401 |
|
|
IF (i<modfrstv(j)) coff = 0. |
402 |
|
|
DO k = 1, iim |
403 |
|
|
eignft(i,k) = eignfnu(k,i)*coff |
404 |
|
|
END DO |
405 |
|
|
END DO |
406 |
|
|
DO k = 1, iim |
407 |
|
|
DO i = 1, iim |
408 |
|
|
matricevn(i,k,j) = 0.0 |
409 |
|
|
DO ii = 1, iim |
410 |
|
|
matricevn(i,k,j) = matricevn(i,k,j) + eignfnu(i,ii)*eignft(ii,k) |
411 |
|
|
END DO |
412 |
|
|
END DO |
413 |
|
|
END DO |
414 |
|
|
|
415 |
|
|
END DO |
416 |
|
|
|
417 |
|
|
DO j = jfiltsv, jjm |
418 |
|
|
|
419 |
|
|
DO i = 1, iim |
420 |
|
|
coff = coefilv(i,j) |
421 |
|
|
IF (i<modfrstv(j)) coff = 0. |
422 |
|
|
DO k = 1, iim |
423 |
|
|
eignft(i,k) = eignfnu(k,i)*coff |
424 |
|
|
END DO |
425 |
|
|
END DO |
426 |
|
|
DO k = 1, iim |
427 |
|
|
DO i = 1, iim |
428 |
|
|
matricevs(i,k,j-jfiltsv+1) = 0.0 |
429 |
|
|
DO ii = 1, iim |
430 |
|
|
matricevs(i,k,j-jfiltsv+1) = matricevs(i,k,j-jfiltsv+1) + & |
431 |
|
|
eignfnu(i,ii)*eignft(ii,k) |
432 |
|
|
END DO |
433 |
|
|
END DO |
434 |
|
|
END DO |
435 |
|
|
|
436 |
|
|
END DO |
437 |
|
|
|
438 |
|
|
! ................................................................... |
439 |
|
|
|
440 |
|
|
! ... Calcul de la matrice filtre 'matrinv' pour les champs situes |
441 |
|
|
! sur la grille scalaire , pour le filtre inverse ........ |
442 |
|
|
! ................................................................... |
443 |
|
|
|
444 |
|
|
DO j = 2, jfiltnu |
445 |
|
|
|
446 |
|
|
DO i = 1, iim |
447 |
|
|
coff = coefilu(i,j)/(1.+coefilu(i,j)) |
448 |
|
|
IF (i<modfrstu(j)) coff = 0. |
449 |
|
|
DO k = 1, iim |
450 |
|
|
eignft(i,k) = eignfnv(k,i)*coff |
451 |
|
|
END DO |
452 |
|
|
END DO |
453 |
|
|
DO k = 1, iim |
454 |
|
|
DO i = 1, iim |
455 |
|
|
matrinvn(i,k,j) = 0.0 |
456 |
|
|
DO ii = 1, iim |
457 |
|
|
matrinvn(i,k,j) = matrinvn(i,k,j) + eignfnv(i,ii)*eignft(ii,k) |
458 |
|
|
END DO |
459 |
|
|
END DO |
460 |
|
|
END DO |
461 |
|
|
|
462 |
|
|
END DO |
463 |
|
|
|
464 |
|
|
DO j = jfiltsu, jjm |
465 |
|
|
|
466 |
|
|
DO i = 1, iim |
467 |
|
|
coff = coefilu(i,j)/(1.+coefilu(i,j)) |
468 |
|
|
IF (i<modfrstu(j)) coff = 0. |
469 |
|
|
DO k = 1, iim |
470 |
|
|
eignft(i,k) = eignfnv(k,i)*coff |
471 |
|
|
END DO |
472 |
|
|
END DO |
473 |
|
|
DO k = 1, iim |
474 |
|
|
DO i = 1, iim |
475 |
|
|
matrinvs(i,k,j-jfiltsu+1) = 0.0 |
476 |
|
|
DO ii = 1, iim |
477 |
|
|
matrinvs(i,k,j-jfiltsu+1) = matrinvs(i,k,j-jfiltsu+1) + & |
478 |
|
|
eignfnv(i,ii)*eignft(ii,k) |
479 |
|
|
END DO |
480 |
|
|
END DO |
481 |
|
|
END DO |
482 |
|
|
|
483 |
|
|
END DO |
484 |
|
|
|
485 |
|
|
334 FORMAT (1X,24I3) |
486 |
|
|
|
487 |
|
|
END SUBROUTINE inifilr |