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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, version 1.2, 2005/06/03 09:11:32 |
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! Author: 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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REAL, intent(in):: xzoomdeg |
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|
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REAL, intent(in):: grossism |
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! grossissement (= 2 si 2 fois, = 3 si 3 fois, etc.) |
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|
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REAL, intent(in):: dzooma ! distance totale de la zone du zoom |
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|
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REAL, intent(in):: tau |
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! raideur de la transition de l'intérieur à l'extérieur du zoom |
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|
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! arguments de sortie |
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|
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REAL, dimension(iip1):: rlonm025, xprimm025, rlonv, xprimv |
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real, dimension(iip1):: rlonu, xprimu, rlonp025, xprimp025 |
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|
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DOUBLE PRECISION, intent(out):: champmin, champmax |
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|
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! Local: |
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|
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INTEGER, PARAMETER:: nmax = 30000, nmax2 = 2*nmax |
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|
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LOGICAL, PARAMETER:: scal180 = .TRUE. |
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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 |
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! -180. degres. sinon scal180 = .FALSE. |
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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 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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!---------------------------------------------------------------------- |
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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 == 1. .AND. scal180) THEN |
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decalx = 1. |
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ENDIF |
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|
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print *, '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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print *, "Le paramètre dzoomx pour fxhyp est trop petit. " & |
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// "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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print *, ' xzoom(rad), grossism, tau, dzoom (rad):' |
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print *, 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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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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|
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IF (xtild(i) == 0.) fhyp(i) = 1. |
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IF (xtild(i) == pi) fhyp(i) = -1. |
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ENDDO |
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|
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! 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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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 == 0.) fxm = 1. |
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IF (xmoy == pi) fxm = -1. |
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|
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ffdx = ffdx + fxm * (xtild(i) - xtild(i-1)) |
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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 <= 0.) THEN |
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print *, 'Attention ! La valeur beta calculée dans fxhyp est mauvaise.' |
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print *, 'Modifier les valeurs de grossismx, tau ou dzoomx 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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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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! 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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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 == 0.) fxm = 1. |
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IF (xmoy == pi) fxm = -1. |
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xxpr(i) = beta + (grossism - beta) * fxm |
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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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! 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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print * |
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|
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DO ik = 1, 4 |
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IF (ik == 1) THEN |
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xuv = -0.25 |
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ELSE IF (ik == 2) THEN |
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xuv = 0. |
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ELSE IF (ik == 3) THEN |
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xuv = 0.50 |
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ELSE IF (ik == 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 == 1.and.grossism == 1.) THEN |
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ii1 = 2 |
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ii2 = iim + 1 |
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ENDIF |
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|
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DO i = ii1, ii2 |
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xlon2 = - pi + (FLOAT(i) + xuv - decalx) * depi / FLOAT(iim) |
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Xfi = xlon2 |
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|
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it = nmax2 |
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do while (xfi < xf(it) .and. it >= 1) |
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it = it - 1 |
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end do |
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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 == 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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! Appel de la routine qui calcule les coefficients a0, a1, |
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! a2, a3 d'un polynome de degre 3 qui passe par les points |
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! (Xf(it), xtild(it)) 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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iter = 1 |
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|
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do |
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xi = xi - (Xf1 - Xfi)/ Xprimin |
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IF (ABS(xi - xo1) <= epsilon .or. iter == 300) exit |
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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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|
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if (ABS(xi - xo1) > epsilon) then |
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! iter == 300 |
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print *, 'Pas de solution.' |
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print *, i, xlon2 |
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STOP 1 |
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end if |
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|
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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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end DO |
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|
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IF (ik == 1.and.grossism == 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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print *, 'Problème avec rlonu(', i + 1, & |
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') plus petit que rlonu(', i, ')' |
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STOP 1 |
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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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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 >= -pi-0.10.and.champmax <= pi + 0.10)) THEN |
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print *, 'Reorganisation des longitudes pour avoir entre - pi', & |
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' et pi ' |
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|
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IF (xzoom <= 0.) THEN |
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IF (ik == 1) THEN |
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i = 1 |
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|
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do while (xvrai(i) < - pi .and. i < iim) |
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i = i + 1 |
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end do |
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|
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if (xvrai(i) < - pi) then |
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print *, ' PBS. 1 ! Xvrai plus petit que - pi ! ' |
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STOP 1 |
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end if |
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|
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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 == 1) THEN |
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i = iim |
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|
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do while (xvrai(i) > pi .and. i > 1) |
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i = i - 1 |
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end do |
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|
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if (xvrai(i) > pi) then |
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print *, ' PBS. 2 ! Xvrai plus grand que pi ! ' |
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STOP 1 |
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end if |
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|
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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 == 1) THEN |
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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 == 2) THEN |
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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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ELSE IF (ik == 3) THEN |
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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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ELSE IF (ik == 4) THEN |
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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) |
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ENDDO |
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ENDIF |
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end DO |
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|
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print * |
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|
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DO i = 1, iim |
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xlon(i) = rlonv(i + 1) - rlonv(i) |
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ENDDO |
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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, xlon(i)) |
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champmax = MAX(champmax, xlon(i)) |
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ENDDO |
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champmin = champmin * 180./pi |
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champmax = champmax * 180./pi |
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|
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END SUBROUTINE fxhyp |
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|
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end module fxhyp_m |
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