[524] | 1 | ! |
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[1403] | 2 | ! $Id: fyhyp.F 1403 2010-07-01 09:02:53Z nfevrier $ |
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[524] | 3 | ! |
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| 4 | c |
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| 5 | c |
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[650] | 6 | SUBROUTINE fyhyp ( yzoomdeg, grossism, dzooma,tau , |
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[524] | 7 | , rrlatu,yyprimu,rrlatv,yyprimv,rlatu2,yprimu2,rlatu1,yprimu1 , |
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| 8 | , champmin,champmax ) |
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| 9 | |
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| 10 | cc ... Version du 01/04/2001 .... |
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| 11 | |
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| 12 | IMPLICIT NONE |
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| 13 | c |
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| 14 | c ... Auteur : P. Le Van ... |
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| 15 | c |
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| 16 | c ....... d'apres formulations de R. Sadourny ....... |
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| 17 | c |
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| 18 | c Calcule les latitudes et derivees dans la grille du GCM pour une |
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| 19 | c fonction f(y) a tangente hyperbolique . |
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| 20 | c |
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| 21 | c grossism etant le grossissement ( = 2 si 2 fois, = 3 si 3 fois , etc) |
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| 22 | c dzoom etant la distance totale de la zone du zoom ( en radians ) |
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| 23 | c tau la raideur de la transition de l'interieur a l'exterieur du zoom |
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| 24 | c |
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| 25 | c |
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| 26 | c N.B : Il vaut mieux avoir : grossism * dzoom < pi/2 (radians) ,en lati. |
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| 27 | c ******************************************************************** |
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| 28 | c |
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| 29 | c |
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| 30 | #include "dimensions.h" |
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| 31 | #include "paramet.h" |
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| 32 | |
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| 33 | INTEGER nmax , nmax2 |
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| 34 | PARAMETER ( nmax = 30000, nmax2 = 2*nmax ) |
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| 35 | c |
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| 36 | c |
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| 37 | c ....... arguments d'entree ....... |
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| 38 | c |
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[650] | 39 | REAL yzoomdeg, grossism,dzooma,tau |
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[524] | 40 | c ( rentres par run.def ) |
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| 41 | |
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| 42 | c ....... arguments de sortie ....... |
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| 43 | c |
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| 44 | REAL rrlatu(jjp1), yyprimu(jjp1),rrlatv(jjm), yyprimv(jjm), |
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| 45 | , rlatu1(jjm), yprimu1(jjm), rlatu2(jjm), yprimu2(jjm) |
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| 46 | |
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| 47 | c |
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| 48 | c ..... champs locaux ..... |
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| 49 | c |
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| 50 | |
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[650] | 51 | REAL dzoom |
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[1279] | 52 | REAL(KIND=8) ylat(jjp1), yprim(jjp1) |
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| 53 | REAL(KIND=8) yuv |
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| 54 | REAL(KIND=8) yt(0:nmax2) |
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| 55 | REAL(KIND=8) fhyp(0:nmax2),beta,Ytprim(0:nmax2),fxm(0:nmax2) |
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[524] | 56 | SAVE Ytprim, yt,Yf |
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[1279] | 57 | REAL(KIND=8) Yf(0:nmax2),yypr(0:nmax2) |
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| 58 | REAL(KIND=8) yvrai(jjp1), yprimm(jjp1),ylatt(jjp1) |
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| 59 | REAL(KIND=8) pi,depi,pis2,epsilon,y0,pisjm |
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| 60 | REAL(KIND=8) yo1,yi,ylon2,ymoy,Yprimin,champmin,champmax |
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| 61 | REAL(KIND=8) yfi,Yf1,ffdy |
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| 62 | REAL(KIND=8) ypn,deply,y00 |
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[524] | 63 | SAVE y00, deply |
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| 64 | |
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| 65 | INTEGER i,j,it,ik,iter,jlat |
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| 66 | INTEGER jpn,jjpn |
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| 67 | SAVE jpn |
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[1279] | 68 | REAL(KIND=8) a0,a1,a2,a3,yi2,heavyy0,heavyy0m |
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| 69 | REAL(KIND=8) fa(0:nmax2),fb(0:nmax2) |
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[524] | 70 | REAL y0min,y0max |
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| 71 | |
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[1279] | 72 | REAL(KIND=8) heavyside |
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[524] | 73 | |
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| 74 | pi = 2. * ASIN(1.) |
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| 75 | depi = 2. * pi |
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| 76 | pis2 = pi/2. |
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[1403] | 77 | pisjm = pi/ REAL(jjm) |
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[524] | 78 | epsilon = 1.e-3 |
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| 79 | y0 = yzoomdeg * pi/180. |
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| 80 | |
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[650] | 81 | IF( dzooma.LT.1.) THEN |
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| 82 | dzoom = dzooma * pi |
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| 83 | ELSEIF( dzooma.LT. 12. ) THEN |
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[524] | 84 | WRITE(6,*) ' Le param. dzoomy pour fyhyp est trop petit ! L aug |
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| 85 | ,menter et relancer ! ' |
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| 86 | STOP 1 |
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| 87 | ELSE |
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[650] | 88 | dzoom = dzooma * pi/180. |
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[524] | 89 | ENDIF |
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| 90 | |
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| 91 | WRITE(6,18) |
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| 92 | WRITE(6,*) ' yzoom( rad.),grossism,tau,dzoom (radians)' |
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| 93 | WRITE(6,24) y0,grossism,tau,dzoom |
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| 94 | |
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| 95 | DO i = 0, nmax2 |
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[1403] | 96 | yt(i) = - pis2 + REAL(i)* pi /nmax2 |
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[524] | 97 | ENDDO |
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| 98 | |
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| 99 | heavyy0m = heavyside( -y0 ) |
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| 100 | heavyy0 = heavyside( y0 ) |
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| 101 | y0min = 2.*y0*heavyy0m - pis2 |
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| 102 | y0max = 2.*y0*heavyy0 + pis2 |
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| 103 | |
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| 104 | fa = 999.999 |
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| 105 | fb = 999.999 |
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| 106 | |
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| 107 | DO i = 0, nmax2 |
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| 108 | IF( yt(i).LT.y0 ) THEN |
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| 109 | fa (i) = tau* (yt(i)-y0+dzoom/2. ) |
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| 110 | fb(i) = (yt(i)-2.*y0*heavyy0m +pis2) * ( y0 - yt(i) ) |
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| 111 | ELSEIF ( yt(i).GT.y0 ) THEN |
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| 112 | fa(i) = tau *(y0-yt(i)+dzoom/2. ) |
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| 113 | fb(i) = (2.*y0*heavyy0 -yt(i)+pis2) * ( yt(i) - y0 ) |
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| 114 | ENDIF |
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| 115 | |
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| 116 | IF( 200.* fb(i) .LT. - fa(i) ) THEN |
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| 117 | fhyp ( i) = - 1. |
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| 118 | ELSEIF( 200. * fb(i) .LT. fa(i) ) THEN |
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| 119 | fhyp ( i) = 1. |
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| 120 | ELSE |
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| 121 | fhyp(i) = TANH ( fa(i)/fb(i) ) |
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| 122 | ENDIF |
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| 123 | |
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| 124 | IF( yt(i).EQ.y0 ) fhyp(i) = 1. |
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| 125 | IF(yt(i).EQ. y0min. OR.yt(i).EQ. y0max ) fhyp(i) = -1. |
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| 126 | |
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| 127 | ENDDO |
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| 128 | |
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| 129 | cc .... Calcul de beta .... |
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| 130 | c |
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| 131 | ffdy = 0. |
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| 132 | |
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| 133 | DO i = 1, nmax2 |
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| 134 | ymoy = 0.5 * ( yt(i-1) + yt( i ) ) |
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| 135 | IF( ymoy.LT.y0 ) THEN |
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| 136 | fa(i)= tau * ( ymoy-y0+dzoom/2.) |
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| 137 | fb(i) = (ymoy-2.*y0*heavyy0m +pis2) * ( y0 - ymoy ) |
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| 138 | ELSEIF ( ymoy.GT.y0 ) THEN |
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| 139 | fa(i)= tau * ( y0-ymoy+dzoom/2. ) |
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| 140 | fb(i) = (2.*y0*heavyy0 -ymoy+pis2) * ( ymoy - y0 ) |
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| 141 | ENDIF |
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| 142 | |
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| 143 | IF( 200.* fb(i) .LT. - fa(i) ) THEN |
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| 144 | fxm ( i) = - 1. |
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| 145 | ELSEIF( 200. * fb(i) .LT. fa(i) ) THEN |
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| 146 | fxm ( i) = 1. |
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| 147 | ELSE |
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| 148 | fxm(i) = TANH ( fa(i)/fb(i) ) |
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| 149 | ENDIF |
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| 150 | IF( ymoy.EQ.y0 ) fxm(i) = 1. |
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| 151 | IF (ymoy.EQ. y0min. OR.yt(i).EQ. y0max ) fxm(i) = -1. |
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| 152 | ffdy = ffdy + fxm(i) * ( yt(i) - yt(i-1) ) |
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| 153 | |
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| 154 | ENDDO |
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| 155 | |
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| 156 | beta = ( grossism * ffdy - pi ) / ( ffdy - pi ) |
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| 157 | |
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| 158 | IF( 2.*beta - grossism.LE. 0.) THEN |
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| 159 | |
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| 160 | WRITE(6,*) ' ** Attention ! La valeur beta calculee dans la rou |
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| 161 | ,tine fyhyp est mauvaise ! ' |
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| 162 | WRITE(6,*)'Modifier les valeurs de grossismy ,tauy ou dzoomy', |
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| 163 | , ' et relancer ! *** ' |
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| 164 | CALL ABORT |
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| 165 | |
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| 166 | ENDIF |
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| 167 | c |
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| 168 | c ..... calcul de Ytprim ..... |
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| 169 | c |
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| 170 | |
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| 171 | DO i = 0, nmax2 |
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| 172 | Ytprim(i) = beta + ( grossism - beta ) * fhyp(i) |
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| 173 | ENDDO |
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| 174 | |
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| 175 | c ..... Calcul de Yf ........ |
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| 176 | |
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| 177 | Yf(0) = - pis2 |
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| 178 | DO i = 1, nmax2 |
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| 179 | yypr(i) = beta + ( grossism - beta ) * fxm(i) |
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| 180 | ENDDO |
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| 181 | |
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| 182 | DO i=1,nmax2 |
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| 183 | Yf(i) = Yf(i-1) + yypr(i) * ( yt(i) - yt(i-1) ) |
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| 184 | ENDDO |
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| 185 | |
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| 186 | c **************************************************************** |
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| 187 | c |
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| 188 | c ..... yuv = 0. si calcul des latitudes aux pts. U ..... |
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| 189 | c ..... yuv = 0.5 si calcul des latitudes aux pts. V ..... |
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| 190 | c |
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| 191 | WRITE(6,18) |
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| 192 | c |
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| 193 | DO 5000 ik = 1,4 |
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| 194 | |
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| 195 | IF( ik.EQ.1 ) THEN |
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| 196 | yuv = 0. |
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| 197 | jlat = jjm + 1 |
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| 198 | ELSE IF ( ik.EQ.2 ) THEN |
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| 199 | yuv = 0.5 |
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| 200 | jlat = jjm |
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| 201 | ELSE IF ( ik.EQ.3 ) THEN |
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| 202 | yuv = 0.25 |
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| 203 | jlat = jjm |
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| 204 | ELSE IF ( ik.EQ.4 ) THEN |
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| 205 | yuv = 0.75 |
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| 206 | jlat = jjm |
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| 207 | ENDIF |
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| 208 | c |
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| 209 | yo1 = 0. |
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| 210 | DO 1500 j = 1,jlat |
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| 211 | yo1 = 0. |
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[1403] | 212 | ylon2 = - pis2 + pisjm * ( REAL(j) + yuv -1.) |
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[524] | 213 | yfi = ylon2 |
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| 214 | c |
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| 215 | DO 250 it = nmax2,0,-1 |
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| 216 | IF( yfi.GE.Yf(it)) GO TO 350 |
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| 217 | 250 CONTINUE |
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| 218 | it = 0 |
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| 219 | 350 CONTINUE |
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| 220 | |
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| 221 | yi = yt(it) |
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| 222 | IF(it.EQ.nmax2) THEN |
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| 223 | it = nmax2 -1 |
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| 224 | Yf(it+1) = pis2 |
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| 225 | ENDIF |
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| 226 | c ................................................................. |
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| 227 | c .... Interpolation entre yi(it) et yi(it+1) pour avoir Y(yi) |
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| 228 | c ..... et Y'(yi) ..... |
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| 229 | c ................................................................. |
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| 230 | |
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| 231 | CALL coefpoly ( Yf(it),Yf(it+1),Ytprim(it), Ytprim(it+1), |
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| 232 | , yt(it),yt(it+1) , a0,a1,a2,a3 ) |
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| 233 | |
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| 234 | Yf1 = Yf(it) |
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| 235 | Yprimin = a1 + 2.* a2 * yi + 3.*a3 * yi *yi |
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| 236 | |
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| 237 | DO 500 iter = 1,300 |
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| 238 | yi = yi - ( Yf1 - yfi )/ Yprimin |
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| 239 | |
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| 240 | IF( ABS(yi-yo1).LE.epsilon) GO TO 550 |
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| 241 | yo1 = yi |
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| 242 | yi2 = yi * yi |
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| 243 | Yf1 = a0 + a1 * yi + a2 * yi2 + a3 * yi2 * yi |
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| 244 | Yprimin = a1 + 2.* a2 * yi + 3.* a3 * yi2 |
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| 245 | 500 CONTINUE |
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| 246 | WRITE(6,*) ' Pas de solution ***** ',j,ylon2,iter |
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| 247 | STOP 2 |
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| 248 | 550 CONTINUE |
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| 249 | c |
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| 250 | Yprimin = a1 + 2.* a2 * yi + 3.* a3 * yi* yi |
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| 251 | yprim(j) = pi / ( jjm * Yprimin ) |
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| 252 | yvrai(j) = yi |
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| 253 | |
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| 254 | 1500 CONTINUE |
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| 255 | |
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| 256 | DO j = 1, jlat -1 |
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| 257 | IF( yvrai(j+1). LT. yvrai(j) ) THEN |
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| 258 | WRITE(6,*) ' PBS. avec rlat(',j+1,') plus petit que rlat(',j, |
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| 259 | , ')' |
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| 260 | STOP 3 |
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| 261 | ENDIF |
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| 262 | ENDDO |
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| 263 | |
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| 264 | WRITE(6,*) 'Reorganisation des latitudes pour avoir entre - pi/2' |
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| 265 | , ,' et pi/2 ' |
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| 266 | c |
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| 267 | IF( ik.EQ.1 ) THEN |
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| 268 | ypn = pis2 |
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| 269 | DO j = jlat,1,-1 |
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| 270 | IF( yvrai(j).LE. ypn ) GO TO 1502 |
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| 271 | ENDDO |
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| 272 | 1502 CONTINUE |
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| 273 | |
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| 274 | jpn = j |
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| 275 | y00 = yvrai(jpn) |
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| 276 | deply = pis2 - y00 |
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| 277 | ENDIF |
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| 278 | |
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| 279 | DO j = 1, jjm +1 - jpn |
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| 280 | ylatt (j) = -pis2 - y00 + yvrai(jpn+j-1) |
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| 281 | yprimm(j) = yprim(jpn+j-1) |
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| 282 | ENDDO |
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| 283 | |
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| 284 | jjpn = jpn |
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| 285 | IF( jlat.EQ. jjm ) jjpn = jpn -1 |
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| 286 | |
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| 287 | DO j = 1,jjpn |
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| 288 | ylatt (j + jjm+1 -jpn) = yvrai(j) + deply |
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| 289 | yprimm(j + jjm+1 -jpn) = yprim(j) |
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| 290 | ENDDO |
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| 291 | |
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| 292 | c *********** Fin de la reorganisation ************* |
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| 293 | c |
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| 294 | 1600 CONTINUE |
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| 295 | |
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| 296 | DO j = 1, jlat |
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| 297 | ylat(j) = ylatt( jlat +1 -j ) |
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| 298 | yprim(j) = yprimm( jlat +1 -j ) |
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| 299 | ENDDO |
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| 300 | |
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| 301 | DO j = 1, jlat |
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| 302 | yvrai(j) = ylat(j)*180./pi |
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| 303 | ENDDO |
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| 304 | |
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| 305 | IF( ik.EQ.1 ) THEN |
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| 306 | c WRITE(6,18) |
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| 307 | c WRITE(6,*) ' YLAT en U apres ( en deg. ) ' |
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| 308 | c WRITE(6,68) (yvrai(j),j=1,jlat) |
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| 309 | cc WRITE(6,*) ' YPRIM ' |
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| 310 | cc WRITE(6,445) ( yprim(j),j=1,jlat) |
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| 311 | |
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| 312 | DO j = 1, jlat |
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| 313 | rrlatu(j) = ylat( j ) |
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| 314 | yyprimu(j) = yprim( j ) |
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| 315 | ENDDO |
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| 316 | |
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| 317 | ELSE IF ( ik.EQ. 2 ) THEN |
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| 318 | c WRITE(6,18) |
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| 319 | c WRITE(6,*) ' YLAT en V apres ( en deg. ) ' |
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| 320 | c WRITE(6,68) (yvrai(j),j=1,jlat) |
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| 321 | cc WRITE(6,*)' YPRIM ' |
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| 322 | cc WRITE(6,445) ( yprim(j),j=1,jlat) |
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| 323 | |
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| 324 | DO j = 1, jlat |
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| 325 | rrlatv(j) = ylat( j ) |
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| 326 | yyprimv(j) = yprim( j ) |
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| 327 | ENDDO |
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| 328 | |
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| 329 | ELSE IF ( ik.EQ. 3 ) THEN |
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| 330 | c WRITE(6,18) |
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| 331 | c WRITE(6,*) ' YLAT en U + 0.75 apres ( en deg. ) ' |
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| 332 | c WRITE(6,68) (yvrai(j),j=1,jlat) |
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| 333 | cc WRITE(6,*) ' YPRIM ' |
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| 334 | cc WRITE(6,445) ( yprim(j),j=1,jlat) |
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| 335 | |
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| 336 | DO j = 1, jlat |
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| 337 | rlatu2(j) = ylat( j ) |
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| 338 | yprimu2(j) = yprim( j ) |
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| 339 | ENDDO |
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| 340 | |
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| 341 | ELSE IF ( ik.EQ. 4 ) THEN |
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| 342 | c WRITE(6,18) |
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| 343 | c WRITE(6,*) ' YLAT en U + 0.25 apres ( en deg. ) ' |
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| 344 | c WRITE(6,68)(yvrai(j),j=1,jlat) |
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| 345 | cc WRITE(6,*) ' YPRIM ' |
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| 346 | cc WRITE(6,68) ( yprim(j),j=1,jlat) |
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| 347 | |
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| 348 | DO j = 1, jlat |
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| 349 | rlatu1(j) = ylat( j ) |
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| 350 | yprimu1(j) = yprim( j ) |
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| 351 | ENDDO |
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| 352 | |
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| 353 | ENDIF |
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| 354 | |
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| 355 | 5000 CONTINUE |
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| 356 | c |
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| 357 | WRITE(6,18) |
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| 358 | c |
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| 359 | c ..... fin de la boucle do 5000 ..... |
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| 360 | |
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| 361 | DO j = 1, jjm |
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| 362 | ylat(j) = rrlatu(j) - rrlatu(j+1) |
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| 363 | ENDDO |
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| 364 | champmin = 1.e12 |
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| 365 | champmax = -1.e12 |
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| 366 | DO j = 1, jjm |
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| 367 | champmin = MIN( champmin, ylat(j) ) |
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| 368 | champmax = MAX( champmax, ylat(j) ) |
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| 369 | ENDDO |
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| 370 | champmin = champmin * 180./pi |
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| 371 | champmax = champmax * 180./pi |
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| 372 | |
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| 373 | 24 FORMAT(2x,'Parametres yzoom,gross,tau ,dzoom pour fyhyp ',4f8.3) |
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| 374 | 18 FORMAT(/) |
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| 375 | 68 FORMAT(1x,7f9.2) |
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| 376 | |
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| 377 | RETURN |
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| 378 | END |
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