SUBROUTINE fyhyp ( yzoomdeg, grossism, dzoom,tau,deltay , , rrlatu,yyprimu,rrlatv,yyprimv,rlatu2,yprimu2,rlatu1,yprimu1 ) IMPLICIT NONE c c ... Auteur : P. Le Van ... c c ....... d'apres formulations de R. Sadourny ....... c c Calcule les latitudes et derivees dans la grille du GCM pour une c fonction f(y) a tangente hyperbolique . c c grossism etant le grossissement ( = 2 si 2 fois, = 3 si 3 fois , etc) c dzoom etant la distance totale de la zone du zoom c tau la transition , normalement = 1 . c N.B : on doit avoir : grossism * dzoom < 1 . c ************** c c Pour Indoex , on a pris : c ******* c grossism = 2.5 , dzoom = 7/24 en x et y , pour iim = 128 et jjm=64 c yzoomdeg = 0. , tau = 1. et delaty = 10. c c #include "dimensions.h" #include "paramet.h" INTEGER nmax , nmax2 PARAMETER ( nmax = 50000, nmax2 = 2*nmax ) c c c ....... arguments d'entree ....... c REAL yzoomdeg, grossism,dzoom,tau , deltay c ....... arguments de sortie ....... c REAL rrlatu(jjp1), yyprimu(jjp1),rrlatv(jjm), yyprimv(jjm), , rlatu1(jjm), yprimu1(jjm), rlatu2(jjm), yprimu2(jjm) c c ..... Champs locaux ..... c REAl ylat(jjp1), yprim(jjp1) REAL yuv REAL ytild(0:nmax2) REAL fhyp(0:nmax),ffdx(0:nmax),beta,Ytprim(0:nmax2) SAVE Ytprim, ytild,Yf REAL Yf(0:nmax2),yypr(0:nmax2) REAL yvrai(jjp1), yprimm(jjp1),ylatt(jjp1) REAL pi,depi,pis2,epsilon,yzoom REAL yo1,yi,ylon2,fxm,ymoy,yint,Yprimin REAL ypn,deply,y00 SAVE y00, deply INTEGER i,j,it,ik,iter,jlat INTEGER jpn,jjpn SAVE jpn pi = 2. * ASIN(1.) depi = 2. * pi pis2 = pi/2. epsilon = 1.e-6 yzoom = yzoomdeg * pi/180. DO i = 0, nmax2 ytild(i) = FLOAT(i) /nmax2 IF( ytild(i).EQ.0.5 ) ytild(i) = ytild(i) + 1.e-6 ENDDO DO i = 1, nmax fhyp(i) = TANH ( ( ytild(i) - 0.5*(1.- dzoom) ) / , ( tau * ytild(i) * ( 0.5 -ytild(i))) ) ENDDO fhyp( 0 ) = - 1. fhyp( nmax ) = 1. cc .... Calcul de beta .... c ffdx( 0 ) = 0. DO i = 1, nmax ymoy = 0.5 * ( ytild(i-1) + ytild( i ) ) fxm = TANH ( ( ymoy - 0.5 * ( 1. - dzoom ) ) / , ( tau * ymoy * ( 0.5 -ymoy)) ) ffdx(i) = ffdx(i-1) + fxm * ( ytild(i) - ytild(i-1) ) ENDDO beta = ( grossism * ffdx(nmax) - 0.5 ) / ( ffdx(nmax) - 0.5 ) c c ..... calcul de Ytprim ..... c DO i = 0, nmax Ytprim(i) = beta + ( grossism - beta ) * fhyp(i) ENDDO c DO i = 0, nmax Ytprim( nmax2 - i ) = Ytprim( i ) ENDDO c c ..... Calcul de Yf ........ Yf(0) = 0. DO i = 1, nmax ymoy = 0.5 * ( ytild(i-1) + ytild( i ) ) fxm = TANH ( ( ymoy - 0.5 * ( 1. - dzoom ) ) / , ( tau * ymoy * ( 0.5 -ymoy)) ) yypr(i) = beta + ( grossism - beta ) * fxm ENDDO DO i = 1,nmax yypr(nmax2-i+1) = yypr(i) ENDDO DO i=1,nmax2 Yf(i) = Yf(i-1) + yypr(i) * ( ytild(i) - ytild(i-1) ) ENDDO c c c **************************************************************** c c ..... yuv = 0. si calcul des latitudes aux pts. U ..... c ..... yuv = 0.5 si calcul des latitudes aux pts. V ..... c c DO 5000 ik = 1,4 IF( ik.EQ.1 ) THEN yuv = 0. jlat = jjm + 1 ELSE IF ( ik.EQ.2 ) THEN yuv = 0.5 jlat = jjm ELSE IF ( ik.EQ.3 ) THEN yuv = 0.25 jlat = jjm ELSE IF ( ik.EQ.4 ) THEN yuv = 0.75 jlat = jjm ENDIF c DO 1500 j = 1,jlat ylon2 = ( FLOAT(j) + yuv -1.) / FLOAT(jjm) yo1 = 0. yi = ylon2 c DO 500 iter = 1,300 DO 250 it = nmax2,0,-1 IF( yi.GE.ytild(it)) GO TO 350 250 CONTINUE it = 0 yi = ytild(it) 350 CONTINUE IF(it.EQ.nmax2) THEN it = nmax2 -1 Yf(it+1) = 1. ENDIF c ................................................................. c .... Interpolation entre yi(it) et yi(it+1) pour avoir Y(yi) c ..... et Y'(yi) ..... c ................................................................. yint = ( Yf(it+1)-Yf(it) ) / ( ytild(it+1)-ytild(it) ) * + ( yi-ytild(it) ) + Yf(it) Yprimin = ( Ytprim(it+1)-Ytprim(it) )/ ( ytild(it+1)-ytild(it) ) * + ( yi-ytild(it) ) + Ytprim(it) yi = yi - (yint-ylon2)/Yprimin IF( ABS(yi-yo1).LE.epsilon) GO TO 550 yo1 = yi c 500 CONTINUE PRINT *,' *** PAS DE SOLUTION **** ',j,ylon2,iter STOP 4 550 CONTINUE yprim(j) = pi /( FLOAT(jjm) * Yprimin) yvrai(j) = pi * (yi - 0.5) + yzoom 1500 CONTINUE cc print *,' LAT avant reorgan ' cc print 68,(yyvrai(j),j=1,jlat) DO j = 1, jlat -1 IF( yvrai(j+1). LT. yvrai(j) ) THEN PRINT *,' PBS. avec rlat(',j+1,' plus petit que rlat(',j, , ')' STOP ENDIF ENDDO PRINT 18 PRINT *,'Reorganisation des latitudes pour avoir entre - pi/2 ', , ' et pi/2 ' c IF( ik.EQ.1 ) THEN ypn = pis2 - deltay * pi/180. DO j = jlat,1,-1 IF( yvrai(j).LE. ypn ) GO TO 1502 ENDDO 1502 CONTINUE jpn = j y00 = yvrai(jpn) deply = pis2 - y00 ENDIF DO j = 1, jjm +1 - jpn ylatt (j) = -pis2 - y00 + yvrai(jpn+j-1) yprimm(j) = yprim(jpn+j-1) ENDDO jjpn = jpn IF( jlat.EQ. jjm ) jjpn = jpn -1 DO j = 1,jjpn ylatt (j + jjm+1 -jpn) = yvrai(j) + deply yprimm(j + jjm+1 -jpn) = yprim(j) ENDDO c *********** Fin de la reorganisation ************* c 1600 CONTINUE DO j = 1, jlat ylat(j) = ylatt( jlat +1 -j ) yprim(j) = yprimm( jlat +1 -j ) ENDDO DO j = 1, jlat yvrai(j) = ylat(j)*180./pi ENDDO IF( ik.EQ.1 ) THEN PRINT 18 PRINT *, ' YLAT en U apres ( en deg. ) ' PRINT 68,(yvrai(j),j=1,jlat) PRINT *,' YPRIM ' PRINT 68,( yprim(j),j=1,jlat) DO j = 1, jlat rrlatu(j) = ylat( j ) yyprimu(j) = yprim( j ) ENDDO c ELSE IF ( ik.EQ. 2 ) THEN PRINT 18 PRINT *, ' YLAT en V apres ( en deg. ) ' PRINT 68,(yvrai(j),j=1,jlat) PRINT *,' YPRIM ' PRINT 68,( yprim(j),j=1,jlat) DO j = 1, jlat rrlatv(j) = ylat( j ) yyprimv(j) = yprim( j ) ENDDO c ELSE IF ( ik.EQ. 3 ) THEN PRINT 18 PRINT *, ' YLAT en U + 0.75 apres ( en deg. ) ' PRINT 68,(yvrai(j),j=1,jlat) PRINT *,' YPRIM ' PRINT 68,( yprim(j),j=1,jlat) DO j = 1, jlat rlatu2(j) = ylat( j ) yprimu2(j) = yprim( j ) ENDDO ELSE IF ( ik.EQ. 4 ) THEN PRINT 18 PRINT *, ' YLAT en U + 0.25 apres ( en deg. ) ' PRINT 68,(yvrai(j),j=1,jlat) PRINT *,' YPRIM ' PRINT 68,( yprim(j),j=1,jlat) DO j = 1, jlat rlatu1(j) = ylat( j ) yprimu1(j) = yprim( j ) ENDDO ENDIF 5000 CONTINUE c c ..... fin de la boucle do 5000 ..... 18 FORMAT(/) 68 FORMAT(1x,7f9.2) RETURN END