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module fxhyp_m |
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|
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IMPLICIT NONE |
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|
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contains |
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|
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SUBROUTINE fxhyp(xzoomdeg, grossism, dzooma, tau, rlonm025, xprimm025, & |
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rlonv, xprimv, rlonu, xprimu, rlonp025, xprimp025, champmin, champmax) |
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|
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! From LMDZ4/libf/dyn3d/fxhyp.F, v 1.2 2005/06/03 09:11:32 fairhead |
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|
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! Auteur : P. Le Van |
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|
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! Calcule les longitudes et dérivées dans la grille du GCM pour |
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! une fonction f(x) à tangente hyperbolique. |
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|
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! On doit avoir grossism \times dzoom < pi (radians), en longitude. |
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|
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USE dimens_m, ONLY: iim |
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USE paramet_m, ONLY: iip1 |
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|
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INTEGER nmax, nmax2 |
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PARAMETER (nmax = 30000, nmax2 = 2*nmax) |
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|
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LOGICAL scal180 |
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PARAMETER (scal180 = .TRUE.) |
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|
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! scal180 = .TRUE. si on veut avoir le premier point scalaire pour |
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! une grille reguliere (grossism = 1., tau=0., clon=0.) a -180. degres. |
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! sinon scal180 = .FALSE. |
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|
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! ...... arguments d'entree ....... |
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|
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REAL xzoomdeg, dzooma, tau, grossism |
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! grossism etant le grossissement (= 2 si 2 fois, = 3 si 3 fois, etc.) |
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! dzooma etant la distance totale de la zone du zoom |
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! tau la raideur de la transition de l'interieur a l'exterieur du zoom |
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|
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! ...... arguments de sortie ...... |
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|
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REAL rlonm025(iip1), xprimm025(iip1), rlonv(iip1), xprimv(iip1), & |
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rlonu(iip1), xprimu(iip1), rlonp025(iip1), xprimp025(iip1) |
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|
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! .... variables locales .... |
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|
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REAL dzoom |
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DOUBLE PRECISION xlon(iip1), xprimm(iip1), xuv |
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DOUBLE PRECISION xtild(0:nmax2) |
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DOUBLE PRECISION fhyp(0:nmax2), ffdx, beta, Xprimt(0:nmax2) |
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DOUBLE PRECISION Xf(0:nmax2), xxpr(0:nmax2) |
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DOUBLE PRECISION xvrai(iip1), xxprim(iip1) |
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DOUBLE PRECISION pi, depi, epsilon, xzoom, fa, fb |
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DOUBLE PRECISION Xf1, Xfi, a0, a1, a2, a3, xi2 |
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INTEGER i, it, ik, iter, ii, idif, ii1, ii2 |
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DOUBLE PRECISION xi, xo1, xmoy, xlon2, fxm, Xprimin |
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DOUBLE PRECISION champmin, champmax, decalx |
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INTEGER is2 |
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SAVE is2 |
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|
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DOUBLE PRECISION heavyside |
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|
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pi = 2. * ASIN(1.) |
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depi = 2. * pi |
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epsilon = 1.e-3 |
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xzoom = xzoomdeg * pi/180. |
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|
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decalx = .75 |
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IF(grossism.EQ.1..AND.scal180) THEN |
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decalx = 1. |
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ENDIF |
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|
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WRITE(6, *) 'FXHYP scal180, decalx', scal180, decalx |
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|
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IF(dzooma.LT.1.) THEN |
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dzoom = dzooma * depi |
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ELSEIF(dzooma.LT. 25.) THEN |
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WRITE(6, *) ' Le param. dzoomx pour fxhyp est trop petit ! L augmenter et relancer ! ' |
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STOP 1 |
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ELSE |
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dzoom = dzooma * pi/180. |
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ENDIF |
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|
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WRITE(6, *) ' xzoom(rad.), grossism, tau, dzoom (radians)' |
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WRITE(6, 24) xzoom, grossism, tau, dzoom |
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|
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DO i = 0, nmax2 |
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xtild(i) = - pi + FLOAT(i) * depi /nmax2 |
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ENDDO |
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|
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DO i = nmax, nmax2 |
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|
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fa = tau* (dzoom/2. - xtild(i)) |
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fb = xtild(i) * (pi - xtild(i)) |
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|
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IF(200.* fb .LT. - fa) THEN |
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fhyp (i) = - 1. |
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ELSEIF(200. * fb .LT. fa) THEN |
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fhyp (i) = 1. |
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ELSE |
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IF(ABS(fa).LT.1.e-13.AND.ABS(fb).LT.1.e-13) THEN |
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IF(200.*fb + fa.LT.1.e-10) THEN |
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fhyp (i) = - 1. |
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ELSEIF(200.*fb - fa.LT.1.e-10) THEN |
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fhyp (i) = 1. |
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ENDIF |
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ELSE |
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fhyp (i) = TANH (fa/fb) |
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ENDIF |
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ENDIF |
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IF (xtild(i).EQ. 0.) fhyp(i) = 1. |
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IF (xtild(i).EQ. pi) fhyp(i) = -1. |
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|
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ENDDO |
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|
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!c .... Calcul de beta .... |
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|
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ffdx = 0. |
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|
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DO i = nmax +1, nmax2 |
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|
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xmoy = 0.5 * (xtild(i-1) + xtild(i)) |
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fa = tau* (dzoom/2. - xmoy) |
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fb = xmoy * (pi - xmoy) |
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|
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IF(200.* fb .LT. - fa) THEN |
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fxm = - 1. |
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ELSEIF(200. * fb .LT. fa) THEN |
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fxm = 1. |
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ELSE |
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IF(ABS(fa).LT.1.e-13.AND.ABS(fb).LT.1.e-13) THEN |
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IF(200.*fb + fa.LT.1.e-10) THEN |
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fxm = - 1. |
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ELSEIF(200.*fb - fa.LT.1.e-10) THEN |
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fxm = 1. |
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ENDIF |
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ELSE |
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fxm = TANH (fa/fb) |
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ENDIF |
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ENDIF |
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|
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IF (xmoy.EQ. 0.) fxm = 1. |
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IF (xmoy.EQ. pi) fxm = -1. |
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|
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ffdx = ffdx + fxm * (xtild(i) - xtild(i-1)) |
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|
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ENDDO |
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|
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beta = (grossism * ffdx - pi) / (ffdx - pi) |
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|
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IF(2.*beta - grossism.LE. 0.) THEN |
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WRITE(6, *) ' ** Attention ! La valeur beta calculee dans la routine fxhyp est mauvaise ! ' |
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WRITE(6, *)'Modifier les valeurs de grossismx, tau ou dzoomx ', & |
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' et relancer ! *** ' |
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STOP 1 |
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ENDIF |
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|
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! ..... calcul de Xprimt ..... |
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|
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|
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DO i = nmax, nmax2 |
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Xprimt(i) = beta + (grossism - beta) * fhyp(i) |
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ENDDO |
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|
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DO i = nmax+1, nmax2 |
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Xprimt(nmax2 - i) = Xprimt(i) |
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ENDDO |
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|
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|
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! ..... Calcul de Xf ........ |
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|
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Xf(0) = - pi |
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|
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DO i = nmax +1, nmax2 |
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|
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xmoy = 0.5 * (xtild(i-1) + xtild(i)) |
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fa = tau* (dzoom/2. - xmoy) |
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fb = xmoy * (pi - xmoy) |
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|
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IF(200.* fb .LT. - fa) THEN |
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fxm = - 1. |
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ELSEIF(200. * fb .LT. fa) THEN |
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fxm = 1. |
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ELSE |
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fxm = TANH (fa/fb) |
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ENDIF |
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|
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IF (xmoy.EQ. 0.) fxm = 1. |
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IF (xmoy.EQ. pi) fxm = -1. |
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xxpr(i) = beta + (grossism - beta) * fxm |
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|
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ENDDO |
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|
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DO i = nmax+1, nmax2 |
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xxpr(nmax2-i+1) = xxpr(i) |
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ENDDO |
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|
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DO i=1, nmax2 |
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Xf(i) = Xf(i-1) + xxpr(i) * (xtild(i) - xtild(i-1)) |
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ENDDO |
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|
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! ***************************************************************** |
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|
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|
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! ..... xuv = 0. si calcul aux pts scalaires ........ |
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! ..... xuv = 0.5 si calcul aux pts U ........ |
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|
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WRITE(6, 18) |
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|
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DO ik = 1, 4 |
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|
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IF(ik.EQ.1) THEN |
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xuv = -0.25 |
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ELSE IF (ik.EQ.2) THEN |
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xuv = 0. |
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ELSE IF (ik.EQ.3) THEN |
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xuv = 0.50 |
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ELSE IF (ik.EQ.4) THEN |
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xuv = 0.25 |
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ENDIF |
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|
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xo1 = 0. |
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|
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ii1=1 |
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ii2=iim |
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IF(ik.EQ.1.and.grossism.EQ.1.) THEN |
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ii1 = 2 |
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ii2 = iim+1 |
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ENDIF |
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DO i = ii1, ii2 |
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|
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xlon2 = - pi + (FLOAT(i) + xuv - decalx) * depi / FLOAT(iim) |
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|
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Xfi = xlon2 |
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|
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DO it = nmax2, 0, -1 |
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IF(Xfi.GE.Xf(it)) GO TO 350 |
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end DO |
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|
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it = 0 |
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|
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350 CONTINUE |
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|
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! ...... Calcul de Xf(xi) ...... |
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|
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xi = xtild(it) |
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|
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IF(it.EQ.nmax2) THEN |
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it = nmax2 -1 |
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Xf(it+1) = pi |
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ENDIF |
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! ..................................................................... |
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|
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! Appel de la routine qui calcule les coefficients a0, a1, a2, a3 d'un |
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! polynome de degre 3 qui passe par les points (Xf(it), xtild(it)) |
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! et (Xf(it+1), xtild(it+1)) |
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|
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CALL coefpoly (Xf(it), Xf(it+1), Xprimt(it), Xprimt(it+1), & |
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xtild(it), xtild(it+1), a0, a1, a2, a3) |
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|
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Xf1 = Xf(it) |
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Xprimin = a1 + 2.* a2 * xi + 3.*a3 * xi *xi |
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|
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DO iter = 1, 300 |
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xi = xi - (Xf1 - Xfi)/ Xprimin |
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|
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IF(ABS(xi-xo1).LE.epsilon) GO TO 550 |
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xo1 = xi |
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xi2 = xi * xi |
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Xf1 = a0 + a1 * xi + a2 * xi2 + a3 * xi2 * xi |
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Xprimin = a1 + 2.* a2 * xi + 3.* a3 * xi2 |
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end DO |
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WRITE(6, *) ' Pas de solution ***** ', i, xlon2, iter |
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STOP 6 |
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550 CONTINUE |
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|
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xxprim(i) = depi/ (FLOAT(iim) * Xprimin) |
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xvrai(i) = xi + xzoom |
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|
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end DO |
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|
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IF(ik.EQ.1.and.grossism.EQ.1.) THEN |
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xvrai(1) = xvrai(iip1)-depi |
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xxprim(1) = xxprim(iip1) |
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ENDIF |
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DO i = 1, iim |
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xlon(i) = xvrai(i) |
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xprimm(i) = xxprim(i) |
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ENDDO |
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DO i = 1, iim -1 |
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IF(xvrai(i+1).LT. xvrai(i)) THEN |
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WRITE(6, *) ' PBS. avec rlonu(', i+1, ') plus petit que rlonu(', i, & |
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')' |
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STOP 7 |
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ENDIF |
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ENDDO |
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|
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! ... Reorganisation des longitudes pour les avoir entre - pi et pi .. |
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! ........................................................................ |
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|
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champmin = 1.e12 |
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champmax = -1.e12 |
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DO i = 1, iim |
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champmin = MIN(champmin, xvrai(i)) |
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champmax = MAX(champmax, xvrai(i)) |
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ENDDO |
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|
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IF(.not. (champmin .GE.-pi-0.10.and.champmax.LE.pi+0.10)) THEN |
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WRITE(6, *) 'Reorganisation des longitudes pour avoir entre - pi', & |
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' et pi ' |
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|
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IF(xzoom.LE.0.) THEN |
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IF(ik.EQ. 1) THEN |
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DO i = 1, iim |
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IF(xvrai(i).GE. - pi) GO TO 80 |
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ENDDO |
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WRITE(6, *) ' PBS. 1 ! Xvrai plus petit que - pi ! ' |
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STOP 8 |
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80 CONTINUE |
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is2 = i |
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ENDIF |
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|
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IF(is2.NE. 1) THEN |
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DO ii = is2, iim |
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xlon (ii-is2+1) = xvrai(ii) |
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xprimm(ii-is2+1) = xxprim(ii) |
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ENDDO |
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DO ii = 1, is2 -1 |
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xlon (ii+iim-is2+1) = xvrai(ii) + depi |
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xprimm(ii+iim-is2+1) = xxprim(ii) |
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ENDDO |
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ENDIF |
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ELSE |
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IF(ik.EQ.1) THEN |
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DO i = iim, 1, -1 |
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IF(xvrai(i).LE. pi) GO TO 90 |
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ENDDO |
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WRITE(6, *) ' PBS. 2 ! Xvrai plus grand que pi ! ' |
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STOP 9 |
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90 CONTINUE |
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is2 = i |
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ENDIF |
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idif = iim -is2 |
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DO ii = 1, is2 |
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xlon (ii+idif) = xvrai(ii) |
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xprimm(ii+idif) = xxprim(ii) |
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ENDDO |
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DO ii = 1, idif |
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xlon (ii) = xvrai (ii+is2) - depi |
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xprimm(ii) = xxprim(ii+is2) |
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ENDDO |
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ENDIF |
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ENDIF |
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|
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! ......... Fin de la reorganisation ............................ |
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|
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xlon (iip1) = xlon(1) + depi |
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xprimm(iip1) = xprimm (1) |
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|
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DO i = 1, iim+1 |
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xvrai(i) = xlon(i)*180./pi |
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ENDDO |
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|
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IF(ik.EQ.1) THEN |
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! WRITE(6, *) ' XLON aux pts. V-0.25 apres (en deg.) ' |
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! WRITE(6, 18) |
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! WRITE(6, 68) xvrai |
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! WRITE(6, *) ' XPRIM k ', ik |
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! WRITE(6, 566) xprimm |
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|
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DO i = 1, iim +1 |
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rlonm025(i) = xlon(i) |
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xprimm025(i) = xprimm(i) |
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ENDDO |
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ELSE IF(ik.EQ.2) THEN |
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! WRITE(6, 18) |
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! WRITE(6, *) ' XLON aux pts. V apres (en deg.) ' |
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! WRITE(6, 68) xvrai |
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! WRITE(6, *) ' XPRIM k ', ik |
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! WRITE(6, 566) xprimm |
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|
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DO i = 1, iim + 1 |
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rlonv(i) = xlon(i) |
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xprimv(i) = xprimm(i) |
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ENDDO |
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|
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ELSE IF(ik.EQ.3) THEN |
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! WRITE(6, 18) |
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! WRITE(6, *) ' XLON aux pts. U apres (en deg.) ' |
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! WRITE(6, 68) xvrai |
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! WRITE(6, *) ' XPRIM ik ', ik |
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! WRITE(6, 566) xprimm |
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|
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DO i = 1, iim + 1 |
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rlonu(i) = xlon(i) |
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xprimu(i) = xprimm(i) |
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ENDDO |
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|
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ELSE IF(ik.EQ.4) THEN |
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! WRITE(6, 18) |
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! WRITE(6, *) ' XLON aux pts. V+0.25 apres (en deg.) ' |
| 401 |
! WRITE(6, 68) xvrai |
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! WRITE(6, *) ' XPRIM ik ', ik |
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! WRITE(6, 566) xprimm |
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|
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DO i = 1, iim + 1 |
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rlonp025(i) = xlon(i) |
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xprimp025(i) = xprimm(i) |
| 408 |
ENDDO |
| 409 |
|
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ENDIF |
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|
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end DO |
| 413 |
|
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WRITE(6, 18) |
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|
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DO i = 1, iim |
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xlon(i) = rlonv(i+1) - rlonv(i) |
| 418 |
ENDDO |
| 419 |
champmin = 1.e12 |
| 420 |
champmax = -1.e12 |
| 421 |
DO i = 1, iim |
| 422 |
champmin = MIN(champmin, xlon(i)) |
| 423 |
champmax = MAX(champmax, xlon(i)) |
| 424 |
ENDDO |
| 425 |
champmin = champmin * 180./pi |
| 426 |
champmax = champmax * 180./pi |
| 427 |
|
| 428 |
18 FORMAT(/) |
| 429 |
24 FORMAT(2x, 'Parametres xzoom, gross, tau, dzoom pour fxhyp ', 4f8.3) |
| 430 |
68 FORMAT(1x, 7f9.2) |
| 431 |
566 FORMAT(1x, 7f9.4) |
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|
| 433 |
END SUBROUTINE fxhyp |
| 434 |
|
| 435 |
end module fxhyp_m |
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