--- trunk/filtrez/inifilr.f 2014/03/05 14:57:53 82 +++ trunk/Sources/filtrez/inifilr.f 2015/06/09 14:32:46 143 @@ -1,17 +1,22 @@ module inifilr_m - use dimens_m, only: iim - IMPLICIT NONE INTEGER jfiltnu, jfiltsu, jfiltnv, jfiltsv - INTEGER, PARAMETER:: nfilun=3, nfilus=2, nfilvn=2, nfilvs=2 + ! jfiltn index of the last scalar line filtered in NH + ! jfilts index of the first line filtered in SH + + ! North: + real, allocatable:: matriceun(:, :, :), matrinvn(:, :, :) + ! (iim, iim, 2:jfiltnu) + + real, allocatable:: matricevn(:, :, :) ! (iim, iim, jfiltnv) - real matriceun(iim,iim,nfilun), matriceus(iim,iim,nfilus) - real matricevn(iim,iim,nfilvn), matricevs(iim,iim,nfilvs) - real matrinvn(iim,iim,nfilun), matrinvs(iim,iim,nfilus) + ! South: + real, allocatable:: matriceus(:, :, :), matrinvs(:, :, :) + ! (iim, iim, jfiltsu:jjm) - private iim, nfilun, nfilus, nfilvn, nfilvs + real, allocatable:: matricevs(:, :, :) ! (iim, iim, jfiltsv:jjm) contains @@ -21,49 +26,41 @@ ! H. Upadhyaya, O. Sharma ! This routine computes the eigenfunctions of the laplacian on the - ! stretched grid, and the filtering coefficients. - ! We designate: - ! eignfn eigenfunctions of the discrete laplacian - ! eigenvl eigenvalues - ! jfiltn index of the last scalar line filtered in NH - ! jfilts index of the first line filtered in SH - ! modfrst index of the mode from where modes are filtered - ! modemax maximum number of modes (im) - ! coefil filtering coefficients (lamda_max * cos(rlat) / lamda) - ! sdd SQRT(dx) - - ! The modes are filtered from modfrst to modemax. + ! stretched grid, and the filtering coefficients. The modes are + ! filtered from modfrst to iim. USE dimens_m, ONLY : iim, jjm - use conf_gcm_m, ONLY : fxyhypb, ysinus - USE comgeom, ONLY : rlatu, rlatv, xprimu + USE dynetat0_m, ONLY : rlatu, rlatv, xprimu, grossismx + use inifgn_m, only: inifgn, eignfnu, eignfnv + use jumble, only: new_unit use nr_util, only: pi - USE serre, ONLY : alphax - USE coefils, ONLY : coefilu, coefilu2, coefilv, coefilv2, eignfnu, & - eignfnv, modfrstu, modfrstv ! Local: - REAL dlonu(iim), dlatu(jjm) - REAL rlamda(2: iim), eignvl(iim) - - REAL lamdamax, cof - INTEGER i, j, modemax, imx, k, kf - REAL dymin, dxmin, colat0 + REAL dlatu(jjm) + REAL rlamda(2: iim) + real eignvl(iim) ! eigenvalues + REAL cof + INTEGER i, j, k, kf, unit + REAL colat0 REAL eignft(iim, iim), coff - EXTERNAL inifgn + + ! Filtering coefficients (lamda_max * cos(rlat) / lamda): + real coefilu(iim, jjm), coefilv(iim, jjm) + real coefilu2(iim, jjm), coefilv2(iim, jjm) + + integer modfrstu(jjm), modfrstv(jjm) + ! index of the mode from where modes are filtered !----------------------------------------------------------- print *, "Call sequence information: inifilr" - DO i = 1, iim - dlonu(i) = xprimu(i) - END DO - CALL inifgn(eignvl) - PRINT *, 'EIGNVL ' - PRINT "(1X, 5E13.6)", eignvl + call new_unit(unit) + open(unit, file = "eignvl.txt", status = "replace", action = "write") + write(unit, fmt = *) EIGNVL + close(unit) ! compute eigenvalues and eigenfunctions ! compute the filtering coefficients for scalar lines and @@ -74,78 +71,37 @@ ! is set equal to zero for the regular grid case ! Calcul de colat0 - - DO j = 1, jjm - dlatu(j) = rlatu(j) - rlatu(j+1) - END DO - - dxmin = dlonu(1) - DO i = 2, iim - dxmin = min(dxmin, dlonu(i)) - END DO - dymin = dlatu(1) - DO j = 2, jjm - dymin = min(dymin, dlatu(j)) - END DO - - colat0 = min(0.5, dymin/dxmin) - - IF (.NOT. fxyhypb .AND. ysinus) THEN - colat0 = 0.6 - ! À revoir pour ysinus - alphax = 0. - END IF - + forall (j = 1:jjm) dlatu(j) = rlatu(j) - rlatu(j + 1) + colat0 = min(0.5, minval(dlatu) / minval(xprimu(:iim))) PRINT *, 'colat0 = ', colat0 - PRINT *, 'alphax = ', alphax - - IF (alphax == 1.) THEN - PRINT *, 'alphax doit etre < a 1. Corriger ' - STOP 1 - END IF - - lamdamax = iim / (pi * colat0 * (1. - alphax)) - rlamda = lamdamax / sqrt(abs(eignvl(2: iim))) - DO j = 1, jjm - DO i = 1, iim - coefilu(i, j) = 0. - coefilv(i, j) = 0. - coefilu2(i, j) = 0. - coefilv2(i, j) = 0. - end DO - END DO + rlamda = iim / (pi * colat0 / grossismx) / sqrt(abs(eignvl(2: iim))) + coefilu = 0. + coefilv = 0. + coefilu2 = 0. + coefilv2 = 0. ! Determination de jfiltnu, jfiltnv, jfiltsu, jfiltsv - modemax = iim - imx = iim - - PRINT *, 'TRUNCATION AT ', imx - DO j = 2, jjm / 2 + 1 IF (cos(rlatu(j)) / colat0 < 1. & - .and. rlamda(imx) * cos(rlatu(j)) < 1.) jfiltnu = j + .and. rlamda(iim) * cos(rlatu(j)) < 1.) jfiltnu = j IF (cos(rlatu(jjm - j + 2)) / colat0 < 1. & - .and. rlamda(imx) * cos(rlatu(jjm - j + 2)) < 1.) & + .and. rlamda(iim) * cos(rlatu(jjm - j + 2)) < 1.) & jfiltsu = jjm - j + 2 END DO - DO j = 1, jjm/2 - cof = cos(rlatv(j))/colat0 - IF (cof < 1.) THEN - IF (rlamda(imx)*cos(rlatv(j)) < 1.) jfiltnv = j - END IF - - cof = cos(rlatv(jjm-j+1))/colat0 - IF (cof < 1.) THEN - IF (rlamda(imx)*cos(rlatv(jjm-j+1)) < 1.) jfiltsv = jjm - j + 1 - END IF + DO j = 1, jjm / 2 + IF (cos(rlatv(j)) / colat0 < 1. .and. rlamda(iim) * cos(rlatv(j)) < 1.) & + jfiltnv = j + + IF (cos(rlatv(jjm - j + 1)) / colat0 < 1. .and. rlamda(iim) & + * cos(rlatv(jjm - j + 1)) < 1.) jfiltsv = jjm - j + 1 END DO IF (jfiltnu <= 0) jfiltnu = 1 - IF (jfiltnu > jjm/2+1) THEN + IF (jfiltnu > jjm / 2 + 1) THEN PRINT *, 'jfiltnu en dehors des valeurs acceptables ', jfiltnu STOP 1 END IF @@ -157,7 +113,7 @@ END IF IF (jfiltnv <= 0) jfiltnv = 1 - IF (jfiltnv > jjm/2) THEN + IF (jfiltnv > jjm / 2) THEN PRINT *, 'jfiltnv en dehors des valeurs acceptables ', jfiltnv STOP 1 END IF @@ -179,70 +135,66 @@ END DO DO j = 2, jfiltnu - DO k = 2, modemax - cof = rlamda(k) * cos(rlatu(j)) - IF (cof < 1.) exit + DO k = 2, iim + IF (rlamda(k) * cos(rlatu(j)) < 1.) exit end DO - if (k == modemax + 1) cycle + if (k == iim + 1) cycle modfrstu(j) = k kf = modfrstu(j) - DO k = kf, modemax - cof = rlamda(k)*cos(rlatu(j)) + DO k = kf, iim + cof = rlamda(k) * cos(rlatu(j)) coefilu(k, j) = cof - 1. - coefilu2(k, j) = cof*cof - 1. + coefilu2(k, j) = cof**2 - 1. end DO END DO DO j = 1, jfiltnv - DO k = 2, modemax - cof = rlamda(k)*cos(rlatv(j)) - IF (cof < 1.) exit + DO k = 2, iim + IF (rlamda(k) * cos(rlatv(j)) < 1.) exit end DO - if (k == modemax + 1) cycle + if (k == iim + 1) cycle modfrstv(j) = k kf = modfrstv(j) - DO k = kf, modemax - cof = rlamda(k)*cos(rlatv(j)) + DO k = kf, iim + cof = rlamda(k) * cos(rlatv(j)) coefilv(k, j) = cof - 1. - coefilv2(k, j) = cof*cof - 1. + coefilv2(k, j) = cof**2 - 1. end DO end DO DO j = jfiltsu, jjm - DO k = 2, modemax - cof = rlamda(k)*cos(rlatu(j)) - IF (cof < 1.) exit + DO k = 2, iim + IF (rlamda(k) * cos(rlatu(j)) < 1.) exit end DO - if (k == modemax + 1) cycle + if (k == iim + 1) cycle modfrstu(j) = k kf = modfrstu(j) - DO k = kf, modemax - cof = rlamda(k)*cos(rlatu(j)) + DO k = kf, iim + cof = rlamda(k) * cos(rlatu(j)) coefilu(k, j) = cof - 1. - coefilu2(k, j) = cof*cof - 1. + coefilu2(k, j) = cof**2 - 1. end DO end DO DO j = jfiltsv, jjm - DO k = 2, modemax - cof = rlamda(k)*cos(rlatv(j)) - IF (cof < 1.) exit + DO k = 2, iim + IF (rlamda(k) * cos(rlatv(j)) < 1.) exit end DO - if (k == modemax + 1) cycle + if (k == iim + 1) cycle modfrstv(j) = k kf = modfrstv(j) - DO k = kf, modemax - cof = rlamda(k)*cos(rlatv(j)) + DO k = kf, iim + cof = rlamda(k) * cos(rlatv(j)) coefilv(k, j) = cof - 1. - coefilv2(k, j) = cof*cof - 1. + coefilv2(k, j) = cof**2 - 1. end DO END DO - IF (jfiltnv>=jjm/2 .OR. jfiltnu>=jjm/2) THEN + IF (jfiltnv>=jjm / 2 .OR. jfiltnu>=jjm / 2) THEN IF (jfiltnv == jfiltsv) jfiltsv = 1 + jfiltnv IF (jfiltnu == jfiltsu) jfiltsu = 1 + jfiltnu @@ -255,78 +207,10 @@ PRINT *, 'Modes premiers u ' PRINT 334, modfrstu - IF (nfilun < jfiltnu) THEN - PRINT *, 'le parametre nfilun utilise pour la matrice ', & - 'matriceun est trop petit ! ' - PRINT *, 'Le changer dans parafilt.h et le mettre a ', jfiltnu - PRINT *, 'Pour information, nfilun, nfilus, nfilvn, nfilvs ', & - 'doivent etre egaux successivement a ', jfiltnu, & - jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 - STOP 1 - END IF - IF (nfilun > jfiltnu+2) THEN - PRINT *, 'le parametre nfilun utilise pour la matrice ', & - 'matriceun est trop grand ! Gachis de memoire ! ' - PRINT *, 'Le changer dans parafilt.h et le mettre a ', jfiltnu - PRINT *, 'Pour information, nfilun, nfilus, nfilvn, nfilvs ', & - 'doivent etre egaux successivement a ', & - jfiltnu, jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 - END IF - IF (nfilus < jjm-jfiltsu+1) THEN - PRINT *, 'le parametre nfilus utilise pour la matrice ', & - 'matriceus est trop petit ! ' - PRINT *, 'Le changer dans parafilt.h et le mettre a ', & - jjm - jfiltsu + 1 - PRINT *, 'Pour information , nfilun, nfilus, nfilvn, nfilvs ', & - 'doivent etre egaux successivement a ', & - jfiltnu, jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 - STOP 1 - END IF - IF (nfilus > jjm-jfiltsu+3) THEN - PRINT *, 'le parametre nfilus utilise pour la matrice ', & - 'matriceus est trop grand ! ' - PRINT *, 'Le changer dans parafilt.h et le mettre a ', & - jjm - jfiltsu + 1 - PRINT *, 'Pour information , nfilun, nfilus, nfilvn, nfilvs ', & - 'doivent etre egaux successivement a ', & - jfiltnu, jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 - END IF - IF (nfilvn < jfiltnv) THEN - PRINT *, 'le parametre nfilvn utilise pour la matrice ', & - 'matricevn est trop petit ! ' - PRINT *, 'Le changer dans parafilt.h et le mettre a ', jfiltnv - PRINT *, 'Pour information , nfilun, nfilus, nfilvn, nfilvs ', & - 'doivent etre egaux successivement a ', & - jfiltnu, jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 - STOP 1 - END IF - IF (nfilvn > jfiltnv+2) THEN - PRINT *, 'le parametre nfilvn utilise pour la matrice ', & - 'matricevn est trop grand ! Gachis de memoire ! ' - PRINT *, 'Le changer dans parafilt.h et le mettre a ', jfiltnv - PRINT *, 'Pour information , nfilun, nfilus, nfilvn, nfilvs ', & - 'doivent etre egaux successivement a ', & - jfiltnu, jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 - END IF - IF (nfilvs < jjm-jfiltsv+1) THEN - PRINT *, 'le parametre nfilvs utilise pour la matrice ', & - 'matricevs est trop petit ! Le changer dans parafilt.h ' - PRINT *, 'Le changer dans parafilt.h et le mettre a ', & - jjm - jfiltsv + 1 - PRINT *, 'Pour information , nfilun, nfilus, nfilvn, nfilvs ', & - 'doivent etre egaux successivement a ', & - jfiltnu, jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 - STOP 1 - END IF - IF (nfilvs > jjm-jfiltsv+3) THEN - PRINT *, 'le parametre nfilvs utilise pour la matrice ', & - 'matricevs est trop grand ! Gachis de memoire ! ' - PRINT *, 'Le changer dans parafilt.h et le mettre a ', & - jjm - jfiltsv + 1 - PRINT *, 'Pour information , nfilun, nfilus, nfilvn, nfilvs ', & - 'doivent etre egaux successivement a ', & - jfiltnu, jjm - jfiltsu + 1, jfiltnv, jjm - jfiltsv + 1 - END IF + allocate(matriceun(iim, iim, 2:jfiltnu), matrinvn(iim, iim, 2:jfiltnu)) + allocate(matricevn(iim, iim, jfiltnv)) + allocate(matricevs(iim, iim, jfiltsv:jjm)) + allocate(matriceus(iim, iim, jfiltsu:jjm), matrinvs(iim, iim, jfiltsu:jjm)) ! Calcul de la matrice filtre 'matriceu' pour les champs situes ! sur la grille scalaire @@ -338,7 +222,7 @@ else coff = coefilu(i, j) end IF - eignft(i, :) = eignfnv(:, i)*coff + eignft(i, :) = eignfnv(:, i) * coff END DO matriceun(:, :, j) = matmul(eignfnv, eignft) END DO @@ -352,7 +236,7 @@ end IF eignft(i, :) = eignfnv(:, i) * coff END DO - matriceus(:, :, j - jfiltsu + 1) = matmul(eignfnv, eignft) + matriceus(:, :, j) = matmul(eignfnv, eignft) END DO ! Calcul de la matrice filtre 'matricev' pour les champs situes @@ -365,7 +249,7 @@ else coff = coefilv(i, j) end IF - eignft(i, :) = eignfnu(:, i)*coff + eignft(i, :) = eignfnu(:, i) * coff END DO matricevn(:, :, j) = matmul(eignfnu, eignft) END DO @@ -377,9 +261,9 @@ else coff = coefilv(i, j) end IF - eignft(i, :) = eignfnu(:, i)*coff + eignft(i, :) = eignfnu(:, i) * coff END DO - matricevs(:, :, j-jfiltsv+1) = matmul(eignfnu, eignft) + matricevs(:, :, j) = matmul(eignfnu, eignft) END DO ! Calcul de la matrice filtre 'matrinv' pour les champs situes @@ -390,9 +274,9 @@ IF (i < modfrstu(j)) then coff = 0. else - coff = coefilu(i, j)/(1.+coefilu(i, j)) + coff = coefilu(i, j) / (1. + coefilu(i, j)) end IF - eignft(i, :) = eignfnv(:, i)*coff + eignft(i, :) = eignfnv(:, i) * coff END DO matrinvn(:, :, j) = matmul(eignfnv, eignft) END DO @@ -402,11 +286,11 @@ IF (i < modfrstu(j)) then coff = 0. else - coff = coefilu(i, j)/(1.+coefilu(i, j)) + coff = coefilu(i, j) / (1. + coefilu(i, j)) end IF - eignft(i, :) = eignfnv(:, i)*coff + eignft(i, :) = eignfnv(:, i) * coff END DO - matrinvs(:, :, j-jfiltsu+1) = matmul(eignfnv, eignft) + matrinvs(:, :, j) = matmul(eignfnv, eignft) END DO 334 FORMAT (1X, 24I3)