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! $Header: /home/cvsroot/LMDZ4/libf/dyn3d/fyhyp.F,v 1.2 2005/06/03 09:11:32 |
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! fairhead Exp $ |
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SUBROUTINE fyhyp(yzoomdeg, grossism, dzooma, tau, rrlatu, yyprimu, rrlatv, & |
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yyprimv, rlatu2, yprimu2, rlatu1, yprimu1, champmin, champmax) |
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! c ... Version du 01/04/2001 .... |
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USE dimens_m |
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USE paramet_m |
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IMPLICIT NONE |
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|
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! ... Auteur : P. Le Van ... |
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|
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! ....... d'apres formulations de R. Sadourny ....... |
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|
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! Calcule les latitudes et derivees dans la grille du GCM pour une |
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! fonction f(y) a tangente hyperbolique . |
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|
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! grossism etant le grossissement ( = 2 si 2 fois, = 3 si 3 fois , etc) |
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! dzoom etant la distance totale de la zone du zoom ( en radians ) |
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! tau la raideur de la transition de l'interieur a l'exterieur du zoom |
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! N.B : Il vaut mieux avoir : grossism * dzoom < pi/2 (radians) ,en |
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! lati. |
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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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! ....... arguments d'entree ....... |
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REAL yzoomdeg, grossism, dzooma, tau |
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! ( rentres par run.def ) |
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! ....... arguments de sortie ....... |
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REAL rrlatu(jjp1), yyprimu(jjp1), rrlatv(jjm), yyprimv(jjm), rlatu1(jjm), & |
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yprimu1(jjm), rlatu2(jjm), yprimu2(jjm) |
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|
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! ..... champs locaux ..... |
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|
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REAL dzoom |
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DOUBLE PRECISION ylat(jjp1), yprim(jjp1) |
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DOUBLE PRECISION yuv |
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DOUBLE PRECISION yt(0:nmax2) |
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DOUBLE PRECISION fhyp(0:nmax2), beta, ytprim(0:nmax2), fxm(0:nmax2) |
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SAVE ytprim, yt, yf |
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DOUBLE PRECISION yf(0:nmax2), yypr(0:nmax2) |
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DOUBLE PRECISION yvrai(jjp1), yprimm(jjp1), ylatt(jjp1) |
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DOUBLE PRECISION pi, depi, pis2, epsilon, y0, pisjm |
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DOUBLE PRECISION yo1, yi, ylon2, ymoy, yprimin, champmin, champmax |
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DOUBLE PRECISION yfi, yf1, ffdy |
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DOUBLE PRECISION ypn, deply, y00 |
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SAVE y00, deply |
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INTEGER i, j, it, ik, iter, jlat |
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INTEGER jpn, jjpn |
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SAVE jpn |
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DOUBLE PRECISION a0, a1, a2, a3, yi2, heavyy0, heavyy0m |
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DOUBLE PRECISION fa(0:nmax2), fb(0:nmax2) |
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REAL y0min, y0max |
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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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pis2 = pi/2. |
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pisjm = pi/float(jjm) |
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epsilon = 1.E-3 |
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y0 = yzoomdeg*pi/180. |
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|
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IF (dzooma<1.) THEN |
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dzoom = dzooma*pi |
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ELSE IF (dzooma<12.) THEN |
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WRITE (6, *) ' Le param. dzoomy pour fyhyp est trop petit & |
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&! L aug & |
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& menter 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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END IF |
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|
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WRITE (6, 18) |
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WRITE (6, *) ' yzoom( rad.),grossism,tau,dzoom (radians)' |
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WRITE (6, 24) y0, grossism, tau, dzoom |
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DO i = 0, nmax2 |
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yt(i) = -pis2 + float(i)*pi/nmax2 |
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END DO |
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heavyy0m = heavyside(-y0) |
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heavyy0 = heavyside(y0) |
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y0min = 2.*y0*heavyy0m - pis2 |
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y0max = 2.*y0*heavyy0 + pis2 |
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fa = 999.999 |
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fb = 999.999 |
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DO i = 0, nmax2 |
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IF (yt(i)<y0) THEN |
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fa(i) = tau*(yt(i)-y0+dzoom/2.) |
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fb(i) = (yt(i)-2.*y0*heavyy0m+pis2)*(y0-yt(i)) |
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ELSE IF (yt(i)>y0) THEN |
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fa(i) = tau*(y0-yt(i)+dzoom/2.) |
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fb(i) = (2.*y0*heavyy0-yt(i)+pis2)*(yt(i)-y0) |
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END IF |
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IF (200.*fb(i)<-fa(i)) THEN |
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fhyp(i) = -1. |
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ELSE IF (200.*fb(i)<fa(i)) THEN |
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fhyp(i) = 1. |
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ELSE |
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fhyp(i) = tanh(fa(i)/fb(i)) |
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END IF |
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IF (yt(i)==y0) fhyp(i) = 1. |
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IF (yt(i)==y0min .OR. yt(i)==y0max) fhyp(i) = -1. |
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END DO |
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! c .... Calcul de beta .... |
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ffdy = 0. |
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DO i = 1, nmax2 |
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ymoy = 0.5*(yt(i-1)+yt(i)) |
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IF (ymoy<y0) THEN |
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fa(i) = tau*(ymoy-y0+dzoom/2.) |
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fb(i) = (ymoy-2.*y0*heavyy0m+pis2)*(y0-ymoy) |
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ELSE IF (ymoy>y0) THEN |
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fa(i) = tau*(y0-ymoy+dzoom/2.) |
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fb(i) = (2.*y0*heavyy0-ymoy+pis2)*(ymoy-y0) |
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END IF |
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IF (200.*fb(i)<-fa(i)) THEN |
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fxm(i) = -1. |
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ELSE IF (200.*fb(i)<fa(i)) THEN |
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fxm(i) = 1. |
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ELSE |
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fxm(i) = tanh(fa(i)/fb(i)) |
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END IF |
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IF (ymoy==y0) fxm(i) = 1. |
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IF (ymoy==y0min .OR. yt(i)==y0max) fxm(i) = -1. |
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ffdy = ffdy + fxm(i)*(yt(i)-yt(i-1)) |
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END DO |
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beta = (grossism*ffdy-pi)/(ffdy-pi) |
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IF (2.*beta-grossism<=0.) THEN |
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WRITE (6, *) ' ** Attention ! La valeur beta calculee dans & |
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&la rou & |
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& tine fyhyp est mauvaise' |
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WRITE (6, *) 'Modifier les valeurs de grossismy ,tauy ou dzoomy', & |
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' et relancer ! *** ' |
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STOP 1 |
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END IF |
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! ..... calcul de Ytprim ..... |
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DO i = 0, nmax2 |
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ytprim(i) = beta + (grossism-beta)*fhyp(i) |
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END DO |
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! ..... Calcul de Yf ........ |
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yf(0) = -pis2 |
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DO i = 1, nmax2 |
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yypr(i) = beta + (grossism-beta)*fxm(i) |
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END DO |
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DO i = 1, nmax2 |
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yf(i) = yf(i-1) + yypr(i)*(yt(i)-yt(i-1)) |
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END DO |
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! **************************************************************** |
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! ..... yuv = 0. si calcul des latitudes aux pts. U ..... |
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! ..... yuv = 0.5 si calcul des latitudes aux pts. V ..... |
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WRITE (6, 18) |
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DO ik = 1, 4 |
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IF (ik==1) THEN |
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yuv = 0. |
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jlat = jjm + 1 |
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ELSE IF (ik==2) THEN |
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yuv = 0.5 |
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jlat = jjm |
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ELSE IF (ik==3) THEN |
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yuv = 0.25 |
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jlat = jjm |
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ELSE IF (ik==4) THEN |
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yuv = 0.75 |
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jlat = jjm |
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END IF |
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yo1 = 0. |
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DO j = 1, jlat |
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yo1 = 0. |
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ylon2 = -pis2 + pisjm*(float(j)+yuv-1.) |
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yfi = ylon2 |
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DO it = nmax2, 0, -1 |
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IF (yfi>=yf(it)) GO TO 350 |
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END DO |
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it = 0 |
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350 CONTINUE |
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yi = yt(it) |
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IF (it==nmax2) THEN |
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it = nmax2 - 1 |
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yf(it+1) = pis2 |
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END IF |
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! ................................................................. |
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! .... Interpolation entre yi(it) et yi(it+1) pour avoir Y(yi) |
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! ..... et Y'(yi) ..... |
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! ................................................................. |
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CALL coefpoly(yf(it), yf(it+1), ytprim(it), ytprim(it+1), yt(it), & |
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yt(it+1), a0, a1, a2, a3) |
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yf1 = yf(it) |
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yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi |
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DO iter = 1, 300 |
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yi = yi - (yf1-yfi)/yprimin |
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IF (abs(yi-yo1)<=epsilon) GO TO 550 |
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yo1 = yi |
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yi2 = yi*yi |
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yf1 = a0 + a1*yi + a2*yi2 + a3*yi2*yi |
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yprimin = a1 + 2.*a2*yi + 3.*a3*yi2 |
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END DO |
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WRITE (6, *) ' Pas de solution ***** ', j, ylon2, iter |
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STOP 2 |
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550 CONTINUE |
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yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi |
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yprim(j) = pi/(jjm*yprimin) |
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yvrai(j) = yi |
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|
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END DO |
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DO j = 1, jlat - 1 |
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IF (yvrai(j+1)<yvrai(j)) THEN |
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WRITE (6, *) ' PBS. avec rlat(', j + 1, ') plus petit que rlat(', j, & |
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')' |
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STOP 3 |
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END IF |
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END DO |
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WRITE (6, *) 'Reorganisation des latitudes pour avoir entre - pi/2', & |
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' et pi/2 ' |
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IF (ik==1) THEN |
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ypn = pis2 |
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DO j = jlat, 1, -1 |
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IF (yvrai(j)<=ypn) GO TO 1502 |
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END DO |
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1502 CONTINUE |
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jpn = j |
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y00 = yvrai(jpn) |
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deply = pis2 - y00 |
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END IF |
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DO j = 1, jjm + 1 - jpn |
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ylatt(j) = -pis2 - y00 + yvrai(jpn+j-1) |
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yprimm(j) = yprim(jpn+j-1) |
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END DO |
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jjpn = jpn |
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IF (jlat==jjm) jjpn = jpn - 1 |
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DO j = 1, jjpn |
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ylatt(j+jjm+1-jpn) = yvrai(j) + deply |
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yprimm(j+jjm+1-jpn) = yprim(j) |
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END DO |
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! *********** Fin de la reorganisation ************* |
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DO j = 1, jlat |
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ylat(j) = ylatt(jlat+1-j) |
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yprim(j) = yprimm(jlat+1-j) |
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END DO |
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DO j = 1, jlat |
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yvrai(j) = ylat(j)*180./pi |
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END DO |
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IF (ik==1) THEN |
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! WRITE(6,18) |
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! WRITE(6,*) ' YLAT en U apres ( en deg. ) ' |
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! WRITE(6,68) (yvrai(j),j=1,jlat) |
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! c WRITE(6,*) ' YPRIM ' |
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! c WRITE(6,445) ( yprim(j),j=1,jlat) |
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DO j = 1, jlat |
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rrlatu(j) = ylat(j) |
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yyprimu(j) = yprim(j) |
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END DO |
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|
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ELSE IF (ik==2) THEN |
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! WRITE(6,18) |
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! WRITE(6,*) ' YLAT en V apres ( en deg. ) ' |
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! WRITE(6,68) (yvrai(j),j=1,jlat) |
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! c WRITE(6,*)' YPRIM ' |
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! c WRITE(6,445) ( yprim(j),j=1,jlat) |
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|
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DO j = 1, jlat |
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rrlatv(j) = ylat(j) |
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yyprimv(j) = yprim(j) |
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END DO |
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|
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ELSE IF (ik==3) THEN |
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! WRITE(6,18) |
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! WRITE(6,*) ' YLAT en U + 0.75 apres ( en deg. ) ' |
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! WRITE(6,68) (yvrai(j),j=1,jlat) |
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! c WRITE(6,*) ' YPRIM ' |
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! c WRITE(6,445) ( yprim(j),j=1,jlat) |
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|
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DO j = 1, jlat |
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rlatu2(j) = ylat(j) |
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yprimu2(j) = yprim(j) |
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END DO |
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|
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ELSE IF (ik==4) THEN |
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! WRITE(6,18) |
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! WRITE(6,*) ' YLAT en U + 0.25 apres ( en deg. ) ' |
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! WRITE(6,68)(yvrai(j),j=1,jlat) |
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! c WRITE(6,*) ' YPRIM ' |
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! c WRITE(6,68) ( yprim(j),j=1,jlat) |
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|
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DO j = 1, jlat |
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rlatu1(j) = ylat(j) |
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yprimu1(j) = yprim(j) |
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END DO |
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END IF |
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END DO |
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WRITE (6, 18) |
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|
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! ..... fin de la boucle do 5000 ..... |
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|
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DO j = 1, jjm |
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ylat(j) = rrlatu(j) - rrlatu(j+1) |
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END DO |
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champmin = 1.E12 |
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champmax = -1.E12 |
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DO j = 1, jjm |
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champmin = min(champmin, ylat(j)) |
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champmax = max(champmax, ylat(j)) |
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END DO |
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champmin = champmin*180./pi |
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champmax = champmax*180./pi |
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|
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24 FORMAT (2X, 'Parametres yzoom,gross,tau ,dzoom pour fyhyp ', 4F8.3) |
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18 FORMAT (/) |
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68 FORMAT (1X, 7F9.2) |
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RETURN |
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END SUBROUTINE fyhyp |
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