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! $Header: /home/cvsroot/LMDZ4/libf/dyn3d/fyhyp.F,v 1.2 2005/06/03 09:11:32 fairhead Exp $ |
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c |
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c |
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SUBROUTINE fyhyp ( yzoomdeg, grossism, dzooma,tau , |
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, rrlatu,yyprimu,rrlatv,yyprimv,rlatu2,yprimu2,rlatu1,yprimu1 , |
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, champmin,champmax ) |
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cc ... 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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c |
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c ... Auteur : P. Le Van ... |
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c |
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c ....... d'apres formulations de R. Sadourny ....... |
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c |
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c Calcule les latitudes et derivees dans la grille du GCM pour une |
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c fonction f(y) a tangente hyperbolique . |
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c |
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c grossism etant le grossissement ( = 2 si 2 fois, = 3 si 3 fois , etc) |
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c dzoom etant la distance totale de la zone du zoom ( en radians ) |
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c tau la raideur de la transition de l'interieur a l'exterieur du zoom |
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c |
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c |
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c N.B : Il vaut mieux avoir : grossism * dzoom < pi/2 (radians) ,en lati. |
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c ******************************************************************** |
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c |
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c |
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INTEGER nmax , nmax2 |
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PARAMETER ( nmax = 30000, nmax2 = 2*nmax ) |
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c |
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c |
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c ....... arguments d'entree ....... |
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c |
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REAL yzoomdeg, grossism,dzooma,tau |
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c ( rentres par run.def ) |
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c ....... arguments de sortie ....... |
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c |
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REAL rrlatu(jjp1), yyprimu(jjp1),rrlatv(jjm), yyprimv(jjm), |
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, rlatu1(jjm), yprimu1(jjm), rlatu2(jjm), yprimu2(jjm) |
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c |
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c ..... champs locaux ..... |
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c |
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REAL dzoom |
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guez |
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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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guez |
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SAVE Ytprim, yt,Yf |
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guez |
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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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guez |
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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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guez |
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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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guez |
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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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IF( dzooma.LT.1.) THEN |
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dzoom = dzooma * pi |
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ELSEIF( dzooma.LT. 12. ) THEN |
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WRITE(6,*) ' Le param. dzoomy pour fyhyp est trop petit ! 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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ENDIF |
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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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ENDDO |
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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).LT.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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ELSEIF ( yt(i).GT.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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ENDIF |
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IF( 200.* fb(i) .LT. - fa(i) ) THEN |
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fhyp ( i) = - 1. |
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ELSEIF( 200. * fb(i) .LT. 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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ENDIF |
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IF( yt(i).EQ.y0 ) fhyp(i) = 1. |
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IF(yt(i).EQ. y0min. OR.yt(i).EQ. y0max ) fhyp(i) = -1. |
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ENDDO |
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cc .... Calcul de beta .... |
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c |
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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.LT.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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ELSEIF ( ymoy.GT.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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ENDIF |
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IF( 200.* fb(i) .LT. - fa(i) ) THEN |
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fxm ( i) = - 1. |
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ELSEIF( 200. * fb(i) .LT. 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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ENDIF |
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IF( ymoy.EQ.y0 ) fxm(i) = 1. |
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IF (ymoy.EQ. y0min. OR.yt(i).EQ. y0max ) fxm(i) = -1. |
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ffdy = ffdy + fxm(i) * ( yt(i) - yt(i-1) ) |
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ENDDO |
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beta = ( grossism * ffdy - pi ) / ( ffdy - pi ) |
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IF( 2.*beta - grossism.LE. 0.) THEN |
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WRITE(6,*) ' ** Attention ! La valeur beta calculee dans 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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ENDIF |
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c |
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c ..... calcul de Ytprim ..... |
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c |
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DO i = 0, nmax2 |
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Ytprim(i) = beta + ( grossism - beta ) * fhyp(i) |
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ENDDO |
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c ..... 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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ENDDO |
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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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ENDDO |
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c **************************************************************** |
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c |
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c ..... yuv = 0. si calcul des latitudes aux pts. U ..... |
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c ..... yuv = 0.5 si calcul des latitudes aux pts. V ..... |
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c |
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WRITE(6,18) |
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c |
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DO 5000 ik = 1,4 |
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IF( ik.EQ.1 ) THEN |
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yuv = 0. |
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jlat = jjm + 1 |
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ELSE IF ( ik.EQ.2 ) THEN |
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yuv = 0.5 |
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jlat = jjm |
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ELSE IF ( ik.EQ.3 ) THEN |
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yuv = 0.25 |
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jlat = jjm |
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ELSE IF ( ik.EQ.4 ) THEN |
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yuv = 0.75 |
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jlat = jjm |
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ENDIF |
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c |
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yo1 = 0. |
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DO 1500 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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c |
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DO 250 it = nmax2,0,-1 |
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IF( yfi.GE.Yf(it)) GO TO 350 |
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250 CONTINUE |
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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.EQ.nmax2) THEN |
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it = nmax2 -1 |
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Yf(it+1) = pis2 |
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ENDIF |
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c ................................................................. |
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c .... Interpolation entre yi(it) et yi(it+1) pour avoir Y(yi) |
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c ..... et Y'(yi) ..... |
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c ................................................................. |
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CALL coefpoly ( Yf(it),Yf(it+1),Ytprim(it), Ytprim(it+1), |
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, yt(it),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 500 iter = 1,300 |
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yi = yi - ( Yf1 - yfi )/ Yprimin |
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IF( ABS(yi-yo1).LE.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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500 CONTINUE |
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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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c |
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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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1500 CONTINUE |
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DO j = 1, jlat -1 |
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IF( yvrai(j+1). LT. 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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ENDIF |
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ENDDO |
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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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c |
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IF( ik.EQ.1 ) THEN |
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ypn = pis2 |
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DO j = jlat,1,-1 |
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IF( yvrai(j).LE. ypn ) GO TO 1502 |
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ENDDO |
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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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ENDIF |
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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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ENDDO |
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jjpn = jpn |
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IF( jlat.EQ. 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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ENDDO |
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c *********** Fin de la reorganisation ************* |
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c |
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1600 CONTINUE |
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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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ENDDO |
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DO j = 1, jlat |
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yvrai(j) = ylat(j)*180./pi |
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ENDDO |
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IF( ik.EQ.1 ) THEN |
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c WRITE(6,18) |
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c WRITE(6,*) ' YLAT en U apres ( en deg. ) ' |
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c WRITE(6,68) (yvrai(j),j=1,jlat) |
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cc WRITE(6,*) ' YPRIM ' |
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cc 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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ENDDO |
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ELSE IF ( ik.EQ. 2 ) THEN |
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c WRITE(6,18) |
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c WRITE(6,*) ' YLAT en V apres ( en deg. ) ' |
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c WRITE(6,68) (yvrai(j),j=1,jlat) |
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cc WRITE(6,*)' YPRIM ' |
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cc WRITE(6,445) ( yprim(j),j=1,jlat) |
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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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ENDDO |
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ELSE IF ( ik.EQ. 3 ) THEN |
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c WRITE(6,18) |
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c WRITE(6,*) ' YLAT en U + 0.75 apres ( en deg. ) ' |
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c WRITE(6,68) (yvrai(j),j=1,jlat) |
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cc WRITE(6,*) ' YPRIM ' |
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cc WRITE(6,445) ( yprim(j),j=1,jlat) |
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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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ENDDO |
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ELSE IF ( ik.EQ. 4 ) THEN |
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c WRITE(6,18) |
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c WRITE(6,*) ' YLAT en U + 0.25 apres ( en deg. ) ' |
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c WRITE(6,68)(yvrai(j),j=1,jlat) |
| 345 |
|
|
cc WRITE(6,*) ' YPRIM ' |
| 346 |
|
|
cc WRITE(6,68) ( yprim(j),j=1,jlat) |
| 347 |
|
|
|
| 348 |
|
|
DO j = 1, jlat |
| 349 |
|
|
rlatu1(j) = ylat( j ) |
| 350 |
|
|
yprimu1(j) = yprim( j ) |
| 351 |
|
|
ENDDO |
| 352 |
|
|
|
| 353 |
|
|
ENDIF |
| 354 |
|
|
|
| 355 |
|
|
5000 CONTINUE |
| 356 |
|
|
c |
| 357 |
|
|
WRITE(6,18) |
| 358 |
|
|
c |
| 359 |
|
|
c ..... fin de la boucle do 5000 ..... |
| 360 |
|
|
|
| 361 |
|
|
DO j = 1, jjm |
| 362 |
|
|
ylat(j) = rrlatu(j) - rrlatu(j+1) |
| 363 |
|
|
ENDDO |
| 364 |
|
|
champmin = 1.e12 |
| 365 |
|
|
champmax = -1.e12 |
| 366 |
|
|
DO j = 1, jjm |
| 367 |
|
|
champmin = MIN( champmin, ylat(j) ) |
| 368 |
|
|
champmax = MAX( champmax, ylat(j) ) |
| 369 |
|
|
ENDDO |
| 370 |
|
|
champmin = champmin * 180./pi |
| 371 |
|
|
champmax = champmax * 180./pi |
| 372 |
|
|
|
| 373 |
|
|
24 FORMAT(2x,'Parametres yzoom,gross,tau ,dzoom pour fyhyp ',4f8.3) |
| 374 |
|
|
18 FORMAT(/) |
| 375 |
|
|
68 FORMAT(1x,7f9.2) |
| 376 |
|
|
|
| 377 |
|
|
RETURN |
| 378 |
|
|
END |
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