| 1 | ! |
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| 2 | ! $Id: inigeom.F 2641 2016-09-29 21:26:46Z fairhead $ |
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| 3 | ! |
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| 4 | c |
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| 5 | c |
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| 6 | SUBROUTINE inigeom |
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| 7 | c |
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| 8 | c Auteur : P. Le Van |
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| 9 | c |
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| 10 | c ............ Version du 01/04/2001 ........................ |
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| 11 | c |
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| 12 | c Calcul des elongations cuij1,.cuij4 , cvij1,..cvij4 aux memes en- |
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| 13 | c endroits que les aires aireij1,..aireij4 . |
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| 14 | |
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| 15 | c Choix entre f(y) a derivee sinusoid. ou a derivee tangente hyperbol. |
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| 16 | c |
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| 17 | c |
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| 18 | use fxhyp_m, only: fxhyp |
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| 19 | use fyhyp_m, only: fyhyp |
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| 20 | USE comconst_mod, ONLY: pi, g, omeg, rad |
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| 21 | USE logic_mod, ONLY: fxyhypb, ysinus |
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| 22 | USE serre_mod, ONLY: clon,clat,grossismx,grossismy,dzoomx,dzoomy, |
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| 23 | & alphax,alphay,taux,tauy,transx,transy,pxo,pyo |
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| 24 | IMPLICIT NONE |
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| 25 | c |
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| 26 | include "dimensions.h" |
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| 27 | include "paramet.h" |
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| 28 | include "comgeom2.h" |
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| 29 | include "comdissnew.h" |
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| 30 | |
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| 31 | c----------------------------------------------------------------------- |
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| 32 | c .... Variables locales .... |
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| 33 | c |
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| 34 | INTEGER i,j,itmax,itmay,iter |
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| 35 | REAL cvu(iip1,jjp1),cuv(iip1,jjm) |
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| 36 | REAL ai14,ai23,airez,rlatp,rlatm,xprm,xprp,un4rad2,yprp,yprm |
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| 37 | REAL eps,x1,xo1,f,df,xdm,y1,yo1,ydm |
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| 38 | REAL coslatm,coslatp,radclatm,radclatp |
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| 39 | REAL cuij1(iip1,jjp1),cuij2(iip1,jjp1),cuij3(iip1,jjp1), |
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| 40 | * cuij4(iip1,jjp1) |
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| 41 | REAL cvij1(iip1,jjp1),cvij2(iip1,jjp1),cvij3(iip1,jjp1), |
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| 42 | * cvij4(iip1,jjp1) |
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| 43 | REAL rlonvv(iip1),rlatuu(jjp1) |
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| 44 | REAL rlatu1(jjm),yprimu1(jjm),rlatu2(jjm),yprimu2(jjm) , |
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| 45 | * yprimv(jjm),yprimu(jjp1) |
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| 46 | REAL gamdi_gdiv, gamdi_grot, gamdi_h |
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| 47 | |
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| 48 | REAL rlonm025(iip1),xprimm025(iip1), rlonp025(iip1), |
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| 49 | , xprimp025(iip1) |
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| 50 | SAVE rlatu1,yprimu1,rlatu2,yprimu2,yprimv,yprimu |
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| 51 | SAVE rlonm025,xprimm025,rlonp025,xprimp025 |
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| 52 | |
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| 53 | REAL SSUM |
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| 54 | c |
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| 55 | c |
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| 56 | c ------------------------------------------------------------------ |
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| 57 | c - - |
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| 58 | c - calcul des coeff. ( cu, cv , 1./cu**2, 1./cv**2 ) - |
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| 59 | c - - |
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| 60 | c ------------------------------------------------------------------ |
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| 61 | c |
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| 62 | c les coef. ( cu, cv ) permettent de passer des vitesses naturelles |
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| 63 | c aux vitesses covariantes et contravariantes , ou vice-versa ... |
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| 64 | c |
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| 65 | c |
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| 66 | c on a : u (covariant) = cu * u (naturel) , u(contrav)= u(nat)/cu |
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| 67 | c v (covariant) = cv * v (naturel) , v(contrav)= v(nat)/cv |
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| 68 | c |
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| 69 | c on en tire : u(covariant) = cu * cu * u(contravariant) |
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| 70 | c v(covariant) = cv * cv * v(contravariant) |
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| 71 | c |
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| 72 | c |
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| 73 | c on a l'application ( x(X) , y(Y) ) avec - im/2 +1 < X < im/2 |
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| 74 | c = = |
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| 75 | c et - jm/2 < Y < jm/2 |
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| 76 | c = = |
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| 77 | c |
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| 78 | c ................................................... |
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| 79 | c ................................................... |
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| 80 | c . x est la longitude du point en radians . |
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| 81 | c . y est la latitude du point en radians . |
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| 82 | c . . |
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| 83 | c . on a : cu(i,j) = rad * COS(y) * dx/dX . |
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| 84 | c . cv( j ) = rad * dy/dY . |
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| 85 | c . aire(i,j) = cu(i,j) * cv(j) . |
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| 86 | c . . |
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| 87 | c . y, dx/dX, dy/dY calcules aux points concernes . |
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| 88 | c . . |
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| 89 | c ................................................... |
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| 90 | c ................................................... |
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| 91 | c |
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| 92 | c |
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| 93 | c |
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| 94 | c , |
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| 95 | c cv , bien que dependant de j uniquement,sera ici indice aussi en i |
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| 96 | c pour un adressage plus facile en ij . |
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| 97 | c |
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| 98 | c |
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| 99 | c |
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| 100 | c ************** aux points u et v , ***************** |
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| 101 | c xprimu et xprimv sont respectivement les valeurs de dx/dX |
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| 102 | c yprimu et yprimv . . . . . . . . . . . dy/dY |
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| 103 | c rlatu et rlatv . . . . . . . . . . .la latitude |
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| 104 | c cvu et cv . . . . . . . . . . . cv |
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| 105 | c |
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| 106 | c ************** aux points u, v, scalaires, et z **************** |
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| 107 | c cu, cuv, cuscal, cuz sont respectiv. les valeurs de cu |
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| 108 | c |
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| 109 | c |
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| 110 | c |
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| 111 | c Exemple de distribution de variables sur la grille dans le |
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| 112 | c domaine de travail ( X,Y ) . |
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| 113 | c ................................................................ |
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| 114 | c DX=DY= 1 |
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| 115 | c |
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| 116 | c |
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| 117 | c + represente un point scalaire ( p.exp la pression ) |
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| 118 | c > represente la composante zonale du vent |
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| 119 | c V represente la composante meridienne du vent |
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| 120 | c o represente la vorticite |
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| 121 | c |
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| 122 | c ---- , car aux poles , les comp.zonales covariantes sont nulles |
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| 123 | c |
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| 124 | c |
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| 125 | c |
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| 126 | c i -> |
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| 127 | c |
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| 128 | c 1 2 3 4 5 6 7 8 |
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| 129 | c j |
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| 130 | c v 1 + ---- + ---- + ---- + ---- + ---- + ---- + ---- + -- |
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| 131 | c |
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| 132 | c V o V o V o V o V o V o V o V o |
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| 133 | c |
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| 134 | c 2 + > + > + > + > + > + > + > + > |
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| 135 | c |
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| 136 | c V o V o V o V o V o V o V o V o |
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| 137 | c |
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| 138 | c 3 + > + > + > + > + > + > + > + > |
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| 139 | c |
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| 140 | c V o V o V o V o V o V o V o V o |
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| 141 | c |
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| 142 | c 4 + > + > + > + > + > + > + > + > |
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| 143 | c |
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| 144 | c V o V o V o V o V o V o V o V o |
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| 145 | c |
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| 146 | c 5 + ---- + ---- + ---- + ---- + ---- + ---- + ---- + -- |
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| 147 | c |
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| 148 | c |
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| 149 | c Ci-dessus, on voit que le nombre de pts.en longitude est egal |
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| 150 | c a IM = 8 |
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| 151 | c De meme , le nombre d'intervalles entre les 2 poles est egal |
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| 152 | c a JM = 4 |
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| 153 | c |
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| 154 | c Les points scalaires ( + ) correspondent donc a des valeurs |
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| 155 | c entieres de i ( 1 a IM ) et de j ( 1 a JM +1 ) . |
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| 156 | c |
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| 157 | c Les vents U ( > ) correspondent a des valeurs semi- |
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| 158 | c entieres de i ( 1+ 0.5 a IM+ 0.5) et entieres de j ( 1 a JM+1) |
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| 159 | c |
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| 160 | c Les vents V ( V ) correspondent a des valeurs entieres |
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| 161 | c de i ( 1 a IM ) et semi-entieres de j ( 1 +0.5 a JM +0.5) |
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| 162 | c |
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| 163 | c |
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| 164 | c |
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| 165 | WRITE(6,3) |
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| 166 | 3 FORMAT( // 10x,' .... INIGEOM date du 01/06/98 ..... ', |
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| 167 | * //5x,' Calcul des elongations cu et cv comme sommes des 4 ' / |
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| 168 | * 5x,' elong. cuij1, .. 4 , cvij1,.. 4 qui les entourent , aux |
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| 169 | * '/ 5x,' memes endroits que les aires aireij1,...j4 . ' / ) |
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| 170 | c |
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| 171 | c |
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| 172 | IF( nitergdiv.NE.2 ) THEN |
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| 173 | gamdi_gdiv = coefdis/ ( REAL(nitergdiv) -2. ) |
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| 174 | ELSE |
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| 175 | gamdi_gdiv = 0. |
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| 176 | ENDIF |
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| 177 | IF( nitergrot.NE.2 ) THEN |
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| 178 | gamdi_grot = coefdis/ ( REAL(nitergrot) -2. ) |
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| 179 | ELSE |
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| 180 | gamdi_grot = 0. |
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| 181 | ENDIF |
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| 182 | IF( niterh.NE.2 ) THEN |
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| 183 | gamdi_h = coefdis/ ( REAL(niterh) -2. ) |
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| 184 | ELSE |
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| 185 | gamdi_h = 0. |
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| 186 | ENDIF |
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| 187 | |
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| 188 | WRITE(6,*) ' gamdi_gd ',gamdi_gdiv,gamdi_grot,gamdi_h,coefdis, |
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| 189 | * nitergdiv,nitergrot,niterh |
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| 190 | c |
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| 191 | pi = 2.* ASIN(1.) |
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| 192 | c |
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| 193 | WRITE(6,990) |
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| 194 | |
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| 195 | c ---------------------------------------------------------------- |
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| 196 | c |
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| 197 | IF( .NOT.fxyhypb ) THEN |
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| 198 | c |
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| 199 | c |
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| 200 | IF( ysinus ) THEN |
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| 201 | c |
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| 202 | WRITE(6,*) ' *** Inigeom , Y = Sinus ( Latitude ) *** ' |
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| 203 | c |
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| 204 | c .... utilisation de f(x,y ) avec y = sinus de la latitude ..... |
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| 205 | |
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| 206 | CALL fxysinus (rlatu,yprimu,rlatv,yprimv,rlatu1,yprimu1, |
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| 207 | , rlatu2,yprimu2, |
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| 208 | , rlonu,xprimu,rlonv,xprimv,rlonm025,xprimm025,rlonp025,xprimp025) |
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| 209 | |
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| 210 | ELSE |
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| 211 | c |
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| 212 | WRITE(6,*) '*** Inigeom , Y = Latitude , der. sinusoid . ***' |
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| 213 | |
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| 214 | c .... utilisation de f(x,y) a tangente sinusoidale , y etant la latit. ... |
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| 215 | c |
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| 216 | |
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| 217 | pxo = clon *pi /180. |
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| 218 | pyo = 2.* clat* pi /180. |
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| 219 | c |
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| 220 | c .... determination de transx ( pour le zoom ) par Newton-Raphson ... |
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| 221 | c |
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| 222 | itmax = 10 |
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| 223 | eps = .1e-7 |
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| 224 | c |
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| 225 | xo1 = 0. |
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| 226 | DO 10 iter = 1, itmax |
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| 227 | x1 = xo1 |
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| 228 | f = x1+ alphax *SIN(x1-pxo) |
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| 229 | df = 1.+ alphax *COS(x1-pxo) |
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| 230 | x1 = x1 - f/df |
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| 231 | xdm = ABS( x1- xo1 ) |
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| 232 | IF( xdm.LE.eps )GO TO 11 |
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| 233 | xo1 = x1 |
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| 234 | 10 CONTINUE |
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| 235 | 11 CONTINUE |
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| 236 | c |
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| 237 | transx = xo1 |
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| 238 | |
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| 239 | itmay = 10 |
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| 240 | eps = .1e-7 |
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| 241 | C |
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| 242 | yo1 = 0. |
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| 243 | DO 15 iter = 1,itmay |
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| 244 | y1 = yo1 |
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| 245 | f = y1 + alphay* SIN(y1-pyo) |
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| 246 | df = 1. + alphay* COS(y1-pyo) |
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| 247 | y1 = y1 -f/df |
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| 248 | ydm = ABS(y1-yo1) |
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| 249 | IF(ydm.LE.eps) GO TO 17 |
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| 250 | yo1 = y1 |
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| 251 | 15 CONTINUE |
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| 252 | c |
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| 253 | 17 CONTINUE |
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| 254 | transy = yo1 |
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| 255 | |
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| 256 | CALL fxy ( rlatu,yprimu,rlatv,yprimv,rlatu1,yprimu1, |
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| 257 | , rlatu2,yprimu2, |
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| 258 | , rlonu,xprimu,rlonv,xprimv,rlonm025,xprimm025,rlonp025,xprimp025) |
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| 259 | |
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| 260 | ENDIF |
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| 261 | c |
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| 262 | ELSE |
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| 263 | c |
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| 264 | c .... Utilisation de fxyhyper , f(x,y) a derivee tangente hyperbol. |
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| 265 | c ..................................................................... |
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| 266 | |
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| 267 | WRITE(6,*)'*** Inigeom , Y = Latitude , der.tg. hyperbolique ***' |
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| 268 | |
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| 269 | CALL fyhyp(rlatu, yprimu, rlatv, rlatu2, yprimu2, rlatu1, yprimu1) |
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| 270 | CALL fxhyp(xprimm025, rlonv, xprimv, rlonu, xprimu, xprimp025) |
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| 271 | |
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| 272 | ENDIF |
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| 273 | c |
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| 274 | c ------------------------------------------------------------------- |
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| 275 | |
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| 276 | c |
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| 277 | rlatu(1) = ASIN(1.) |
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| 278 | rlatu(jjp1) = - rlatu(1) |
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| 279 | c |
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| 280 | c |
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| 281 | c .... calcul aux poles .... |
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| 282 | c |
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| 283 | yprimu(1) = 0. |
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| 284 | yprimu(jjp1) = 0. |
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| 285 | c |
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| 286 | c |
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| 287 | un4rad2 = 0.25 * rad * rad |
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| 288 | c |
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| 289 | c -------------------------------------------------------------------- |
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| 290 | c -------------------------------------------------------------------- |
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| 291 | c - - |
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| 292 | c - calcul des aires ( aire,aireu,airev, 1./aire, 1./airez ) - |
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| 293 | c - et de fext , force de coriolis extensive . - |
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| 294 | c - - |
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| 295 | c -------------------------------------------------------------------- |
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| 296 | c -------------------------------------------------------------------- |
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| 297 | c |
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| 298 | c |
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| 299 | c |
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| 300 | c A 1 point scalaire P (i,j) de la grille, reguliere en (X,Y) , sont |
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| 301 | c affectees 4 aires entourant P , calculees respectivement aux points |
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| 302 | c ( i + 1/4, j - 1/4 ) : aireij1 (i,j) |
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| 303 | c ( i + 1/4, j + 1/4 ) : aireij2 (i,j) |
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| 304 | c ( i - 1/4, j + 1/4 ) : aireij3 (i,j) |
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| 305 | c ( i - 1/4, j - 1/4 ) : aireij4 (i,j) |
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| 306 | c |
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| 307 | c , |
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| 308 | c Les cotes de chacun de ces 4 carres etant egaux a 1/2 suivant (X,Y). |
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| 309 | c Chaque aire centree en 1 point scalaire P(i,j) est egale a la somme |
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| 310 | c des 4 aires aireij1,aireij2,aireij3,aireij4 qui sont affectees au |
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| 311 | c point (i,j) . |
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| 312 | c On definit en outre les coefficients alpha comme etant egaux a |
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| 313 | c (aireij / aire), c.a.d par exp. alpha1(i,j)=aireij1(i,j)/aire(i,j) |
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| 314 | c |
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| 315 | c De meme, toute aire centree en 1 point U est egale a la somme des |
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| 316 | c 4 aires aireij1,aireij2,aireij3,aireij4 entourant le point U . |
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| 317 | c Idem pour airev, airez . |
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| 318 | c |
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| 319 | c On a ,pour chaque maille : dX = dY = 1 |
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| 320 | c |
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| 321 | c |
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| 322 | c . V |
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| 323 | c |
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| 324 | c aireij4 . . aireij1 |
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| 325 | c |
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| 326 | c U . . P . U |
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| 327 | c |
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| 328 | c aireij3 . . aireij2 |
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| 329 | c |
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| 330 | c . V |
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| 331 | c |
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| 332 | c |
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| 333 | c |
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| 334 | c |
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| 335 | c |
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| 336 | c .................................................................... |
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| 337 | c |
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| 338 | c Calcul des 4 aires elementaires aireij1,aireij2,aireij3,aireij4 |
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| 339 | c qui entourent chaque aire(i,j) , ainsi que les 4 elongations elemen |
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| 340 | c taires cuij et les 4 elongat. cvij qui sont calculees aux memes |
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| 341 | c endroits que les aireij . |
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| 342 | c |
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| 343 | c .................................................................... |
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| 344 | c |
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| 345 | c ....... do 35 : boucle sur les jjm + 1 latitudes ..... |
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| 346 | c |
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| 347 | c |
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| 348 | DO 35 j = 1, jjp1 |
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| 349 | c |
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| 350 | IF ( j. eq. 1 ) THEN |
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| 351 | c |
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| 352 | yprm = yprimu1(j) |
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| 353 | rlatm = rlatu1(j) |
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| 354 | c |
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| 355 | coslatm = COS( rlatm ) |
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| 356 | radclatm = 0.5* rad * coslatm |
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| 357 | c |
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| 358 | DO 30 i = 1, iim |
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| 359 | xprp = xprimp025( i ) |
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| 360 | xprm = xprimm025( i ) |
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| 361 | aireij2( i,1 ) = un4rad2 * coslatm * xprp * yprm |
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| 362 | aireij3( i,1 ) = un4rad2 * coslatm * xprm * yprm |
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| 363 | cuij2 ( i,1 ) = radclatm * xprp |
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| 364 | cuij3 ( i,1 ) = radclatm * xprm |
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| 365 | cvij2 ( i,1 ) = 0.5* rad * yprm |
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| 366 | cvij3 ( i,1 ) = cvij2(i,1) |
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| 367 | 30 CONTINUE |
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| 368 | c |
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| 369 | DO i = 1, iim |
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| 370 | aireij1( i,1 ) = 0. |
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| 371 | aireij4( i,1 ) = 0. |
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| 372 | cuij1 ( i,1 ) = 0. |
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| 373 | cuij4 ( i,1 ) = 0. |
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| 374 | cvij1 ( i,1 ) = 0. |
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| 375 | cvij4 ( i,1 ) = 0. |
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| 376 | ENDDO |
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| 377 | c |
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| 378 | END IF |
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| 379 | c |
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| 380 | IF ( j. eq. jjp1 ) THEN |
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| 381 | yprp = yprimu2(j-1) |
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| 382 | rlatp = rlatu2 (j-1) |
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| 383 | ccc yprp = fyprim( REAL(j) - 0.25 ) |
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| 384 | ccc rlatp = fy ( REAL(j) - 0.25 ) |
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| 385 | c |
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| 386 | coslatp = COS( rlatp ) |
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| 387 | radclatp = 0.5* rad * coslatp |
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| 388 | c |
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| 389 | DO 31 i = 1,iim |
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| 390 | xprp = xprimp025( i ) |
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| 391 | xprm = xprimm025( i ) |
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| 392 | aireij1( i,jjp1 ) = un4rad2 * coslatp * xprp * yprp |
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| 393 | aireij4( i,jjp1 ) = un4rad2 * coslatp * xprm * yprp |
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| 394 | cuij1(i,jjp1) = radclatp * xprp |
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| 395 | cuij4(i,jjp1) = radclatp * xprm |
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| 396 | cvij1(i,jjp1) = 0.5 * rad* yprp |
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| 397 | cvij4(i,jjp1) = cvij1(i,jjp1) |
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| 398 | 31 CONTINUE |
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| 399 | c |
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| 400 | DO i = 1, iim |
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| 401 | aireij2( i,jjp1 ) = 0. |
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| 402 | aireij3( i,jjp1 ) = 0. |
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| 403 | cvij2 ( i,jjp1 ) = 0. |
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| 404 | cvij3 ( i,jjp1 ) = 0. |
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| 405 | cuij2 ( i,jjp1 ) = 0. |
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| 406 | cuij3 ( i,jjp1 ) = 0. |
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| 407 | ENDDO |
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| 408 | c |
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| 409 | END IF |
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| 410 | c |
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| 411 | |
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| 412 | IF ( j .gt. 1 .AND. j .lt. jjp1 ) THEN |
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| 413 | c |
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| 414 | rlatp = rlatu2 ( j-1 ) |
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| 415 | yprp = yprimu2( j-1 ) |
|---|
| 416 | rlatm = rlatu1 ( j ) |
|---|
| 417 | yprm = yprimu1( j ) |
|---|
| 418 | cc rlatp = fy ( REAL(j) - 0.25 ) |
|---|
| 419 | cc yprp = fyprim( REAL(j) - 0.25 ) |
|---|
| 420 | cc rlatm = fy ( REAL(j) + 0.25 ) |
|---|
| 421 | cc yprm = fyprim( REAL(j) + 0.25 ) |
|---|
| 422 | |
|---|
| 423 | coslatm = COS( rlatm ) |
|---|
| 424 | coslatp = COS( rlatp ) |
|---|
| 425 | radclatp = 0.5* rad * coslatp |
|---|
| 426 | radclatm = 0.5* rad * coslatm |
|---|
| 427 | c |
|---|
| 428 | ai14 = un4rad2 * coslatp * yprp |
|---|
| 429 | ai23 = un4rad2 * coslatm * yprm |
|---|
| 430 | DO 32 i = 1,iim |
|---|
| 431 | xprp = xprimp025( i ) |
|---|
| 432 | xprm = xprimm025( i ) |
|---|
| 433 | |
|---|
| 434 | aireij1 ( i,j ) = ai14 * xprp |
|---|
| 435 | aireij2 ( i,j ) = ai23 * xprp |
|---|
| 436 | aireij3 ( i,j ) = ai23 * xprm |
|---|
| 437 | aireij4 ( i,j ) = ai14 * xprm |
|---|
| 438 | cuij1 ( i,j ) = radclatp * xprp |
|---|
| 439 | cuij2 ( i,j ) = radclatm * xprp |
|---|
| 440 | cuij3 ( i,j ) = radclatm * xprm |
|---|
| 441 | cuij4 ( i,j ) = radclatp * xprm |
|---|
| 442 | cvij1 ( i,j ) = 0.5* rad * yprp |
|---|
| 443 | cvij2 ( i,j ) = 0.5* rad * yprm |
|---|
| 444 | cvij3 ( i,j ) = cvij2(i,j) |
|---|
| 445 | cvij4 ( i,j ) = cvij1(i,j) |
|---|
| 446 | 32 CONTINUE |
|---|
| 447 | c |
|---|
| 448 | END IF |
|---|
| 449 | c |
|---|
| 450 | c ........ periodicite ............ |
|---|
| 451 | c |
|---|
| 452 | cvij1 (iip1,j) = cvij1 (1,j) |
|---|
| 453 | cvij2 (iip1,j) = cvij2 (1,j) |
|---|
| 454 | cvij3 (iip1,j) = cvij3 (1,j) |
|---|
| 455 | cvij4 (iip1,j) = cvij4 (1,j) |
|---|
| 456 | cuij1 (iip1,j) = cuij1 (1,j) |
|---|
| 457 | cuij2 (iip1,j) = cuij2 (1,j) |
|---|
| 458 | cuij3 (iip1,j) = cuij3 (1,j) |
|---|
| 459 | cuij4 (iip1,j) = cuij4 (1,j) |
|---|
| 460 | aireij1 (iip1,j) = aireij1 (1,j ) |
|---|
| 461 | aireij2 (iip1,j) = aireij2 (1,j ) |
|---|
| 462 | aireij3 (iip1,j) = aireij3 (1,j ) |
|---|
| 463 | aireij4 (iip1,j) = aireij4 (1,j ) |
|---|
| 464 | |
|---|
| 465 | 35 CONTINUE |
|---|
| 466 | c |
|---|
| 467 | c .............................................................. |
|---|
| 468 | c |
|---|
| 469 | DO 37 j = 1, jjp1 |
|---|
| 470 | DO 36 i = 1, iim |
|---|
| 471 | aire ( i,j ) = aireij1(i,j) + aireij2(i,j) + aireij3(i,j) + |
|---|
| 472 | * aireij4(i,j) |
|---|
| 473 | alpha1 ( i,j ) = aireij1(i,j) / aire(i,j) |
|---|
| 474 | alpha2 ( i,j ) = aireij2(i,j) / aire(i,j) |
|---|
| 475 | alpha3 ( i,j ) = aireij3(i,j) / aire(i,j) |
|---|
| 476 | alpha4 ( i,j ) = aireij4(i,j) / aire(i,j) |
|---|
| 477 | alpha1p2( i,j ) = alpha1 (i,j) + alpha2 (i,j) |
|---|
| 478 | alpha1p4( i,j ) = alpha1 (i,j) + alpha4 (i,j) |
|---|
| 479 | alpha2p3( i,j ) = alpha2 (i,j) + alpha3 (i,j) |
|---|
| 480 | alpha3p4( i,j ) = alpha3 (i,j) + alpha4 (i,j) |
|---|
| 481 | 36 CONTINUE |
|---|
| 482 | c |
|---|
| 483 | c |
|---|
| 484 | aire (iip1,j) = aire (1,j) |
|---|
| 485 | alpha1 (iip1,j) = alpha1 (1,j) |
|---|
| 486 | alpha2 (iip1,j) = alpha2 (1,j) |
|---|
| 487 | alpha3 (iip1,j) = alpha3 (1,j) |
|---|
| 488 | alpha4 (iip1,j) = alpha4 (1,j) |
|---|
| 489 | alpha1p2(iip1,j) = alpha1p2(1,j) |
|---|
| 490 | alpha1p4(iip1,j) = alpha1p4(1,j) |
|---|
| 491 | alpha2p3(iip1,j) = alpha2p3(1,j) |
|---|
| 492 | alpha3p4(iip1,j) = alpha3p4(1,j) |
|---|
| 493 | 37 CONTINUE |
|---|
| 494 | c |
|---|
| 495 | |
|---|
| 496 | DO 42 j = 1,jjp1 |
|---|
| 497 | DO 41 i = 1,iim |
|---|
| 498 | aireu (i,j)= aireij1(i,j) + aireij2(i,j) + aireij4(i+1,j) + |
|---|
| 499 | * aireij3(i+1,j) |
|---|
| 500 | unsaire ( i,j)= 1./ aire(i,j) |
|---|
| 501 | unsair_gam1( i,j)= unsaire(i,j)** ( - gamdi_gdiv ) |
|---|
| 502 | unsair_gam2( i,j)= unsaire(i,j)** ( - gamdi_h ) |
|---|
| 503 | airesurg ( i,j)= aire(i,j)/ g |
|---|
| 504 | 41 CONTINUE |
|---|
| 505 | aireu (iip1,j) = aireu (1,j) |
|---|
| 506 | unsaire (iip1,j) = unsaire(1,j) |
|---|
| 507 | unsair_gam1(iip1,j) = unsair_gam1(1,j) |
|---|
| 508 | unsair_gam2(iip1,j) = unsair_gam2(1,j) |
|---|
| 509 | airesurg (iip1,j) = airesurg(1,j) |
|---|
| 510 | 42 CONTINUE |
|---|
| 511 | c |
|---|
| 512 | c |
|---|
| 513 | DO 48 j = 1,jjm |
|---|
| 514 | c |
|---|
| 515 | DO i=1,iim |
|---|
| 516 | airev (i,j) = aireij2(i,j)+ aireij3(i,j)+ aireij1(i,j+1) + |
|---|
| 517 | * aireij4(i,j+1) |
|---|
| 518 | ENDDO |
|---|
| 519 | DO i=1,iim |
|---|
| 520 | airez = aireij2(i,j)+aireij1(i,j+1)+aireij3(i+1,j) + |
|---|
| 521 | * aireij4(i+1,j+1) |
|---|
| 522 | unsairez(i,j) = 1./ airez |
|---|
| 523 | unsairz_gam(i,j)= unsairez(i,j)** ( - gamdi_grot ) |
|---|
| 524 | fext (i,j) = airez * SIN(rlatv(j))* 2.* omeg |
|---|
| 525 | ENDDO |
|---|
| 526 | airev (iip1,j) = airev(1,j) |
|---|
| 527 | unsairez (iip1,j) = unsairez(1,j) |
|---|
| 528 | fext (iip1,j) = fext(1,j) |
|---|
| 529 | unsairz_gam(iip1,j) = unsairz_gam(1,j) |
|---|
| 530 | c |
|---|
| 531 | 48 CONTINUE |
|---|
| 532 | c |
|---|
| 533 | c |
|---|
| 534 | c ..... Calcul des elongations cu,cv, cvu ......... |
|---|
| 535 | c |
|---|
| 536 | DO j = 1, jjm |
|---|
| 537 | DO i = 1, iim |
|---|
| 538 | cv(i,j) = 0.5 *( cvij2(i,j)+cvij3(i,j)+cvij1(i,j+1)+cvij4(i,j+1)) |
|---|
| 539 | cvu(i,j)= 0.5 *( cvij1(i,j)+cvij4(i,j)+cvij2(i,j) +cvij3(i,j) ) |
|---|
| 540 | cuv(i,j)= 0.5 *( cuij2(i,j)+cuij3(i,j)+cuij1(i,j+1)+cuij4(i,j+1)) |
|---|
| 541 | unscv2(i,j) = 1./ ( cv(i,j)*cv(i,j) ) |
|---|
| 542 | ENDDO |
|---|
| 543 | DO i = 1, iim |
|---|
| 544 | cuvsurcv (i,j) = airev(i,j) * unscv2(i,j) |
|---|
| 545 | cvsurcuv (i,j) = 1./cuvsurcv(i,j) |
|---|
| 546 | cuvscvgam1(i,j) = cuvsurcv (i,j) ** ( - gamdi_gdiv ) |
|---|
| 547 | cuvscvgam2(i,j) = cuvsurcv (i,j) ** ( - gamdi_h ) |
|---|
| 548 | cvscuvgam(i,j) = cvsurcuv (i,j) ** ( - gamdi_grot ) |
|---|
| 549 | ENDDO |
|---|
| 550 | cv (iip1,j) = cv (1,j) |
|---|
| 551 | cvu (iip1,j) = cvu (1,j) |
|---|
| 552 | unscv2 (iip1,j) = unscv2 (1,j) |
|---|
| 553 | cuv (iip1,j) = cuv (1,j) |
|---|
| 554 | cuvsurcv (iip1,j) = cuvsurcv (1,j) |
|---|
| 555 | cvsurcuv (iip1,j) = cvsurcuv (1,j) |
|---|
| 556 | cuvscvgam1(iip1,j) = cuvscvgam1(1,j) |
|---|
| 557 | cuvscvgam2(iip1,j) = cuvscvgam2(1,j) |
|---|
| 558 | cvscuvgam(iip1,j) = cvscuvgam(1,j) |
|---|
| 559 | ENDDO |
|---|
| 560 | |
|---|
| 561 | DO j = 2, jjm |
|---|
| 562 | DO i = 1, iim |
|---|
| 563 | cu(i,j) = 0.5*(cuij1(i,j)+cuij4(i+1,j)+cuij2(i,j)+cuij3(i+1,j)) |
|---|
| 564 | unscu2 (i,j) = 1./ ( cu(i,j) * cu(i,j) ) |
|---|
| 565 | cvusurcu (i,j) = aireu(i,j) * unscu2(i,j) |
|---|
| 566 | cusurcvu (i,j) = 1./ cvusurcu(i,j) |
|---|
| 567 | cvuscugam1 (i,j) = cvusurcu(i,j) ** ( - gamdi_gdiv ) |
|---|
| 568 | cvuscugam2 (i,j) = cvusurcu(i,j) ** ( - gamdi_h ) |
|---|
| 569 | cuscvugam (i,j) = cusurcvu(i,j) ** ( - gamdi_grot ) |
|---|
| 570 | ENDDO |
|---|
| 571 | cu (iip1,j) = cu(1,j) |
|---|
| 572 | unscu2 (iip1,j) = unscu2(1,j) |
|---|
| 573 | cvusurcu (iip1,j) = cvusurcu(1,j) |
|---|
| 574 | cusurcvu (iip1,j) = cusurcvu(1,j) |
|---|
| 575 | cvuscugam1(iip1,j) = cvuscugam1(1,j) |
|---|
| 576 | cvuscugam2(iip1,j) = cvuscugam2(1,j) |
|---|
| 577 | cuscvugam (iip1,j) = cuscvugam(1,j) |
|---|
| 578 | ENDDO |
|---|
| 579 | |
|---|
| 580 | c |
|---|
| 581 | c .... calcul aux poles .... |
|---|
| 582 | c |
|---|
| 583 | DO i = 1, iip1 |
|---|
| 584 | cu ( i, 1 ) = 0. |
|---|
| 585 | unscu2( i, 1 ) = 0. |
|---|
| 586 | cvu ( i, 1 ) = 0. |
|---|
| 587 | c |
|---|
| 588 | cu (i, jjp1) = 0. |
|---|
| 589 | unscu2(i, jjp1) = 0. |
|---|
| 590 | cvu (i, jjp1) = 0. |
|---|
| 591 | ENDDO |
|---|
| 592 | c |
|---|
| 593 | c .............................................................. |
|---|
| 594 | c |
|---|
| 595 | DO j = 1, jjm |
|---|
| 596 | DO i= 1, iim |
|---|
| 597 | airvscu2 (i,j) = airev(i,j)/ ( cuv(i,j) * cuv(i,j) ) |
|---|
| 598 | aivscu2gam(i,j) = airvscu2(i,j)** ( - gamdi_grot ) |
|---|
| 599 | ENDDO |
|---|
| 600 | airvscu2 (iip1,j) = airvscu2(1,j) |
|---|
| 601 | aivscu2gam(iip1,j) = aivscu2gam(1,j) |
|---|
| 602 | ENDDO |
|---|
| 603 | |
|---|
| 604 | DO j=2,jjm |
|---|
| 605 | DO i=1,iim |
|---|
| 606 | airuscv2 (i,j) = aireu(i,j)/ ( cvu(i,j) * cvu(i,j) ) |
|---|
| 607 | aiuscv2gam (i,j) = airuscv2(i,j)** ( - gamdi_grot ) |
|---|
| 608 | ENDDO |
|---|
| 609 | airuscv2 (iip1,j) = airuscv2 (1,j) |
|---|
| 610 | aiuscv2gam(iip1,j) = aiuscv2gam(1,j) |
|---|
| 611 | ENDDO |
|---|
| 612 | |
|---|
| 613 | c |
|---|
| 614 | c calcul des aires aux poles : |
|---|
| 615 | c ----------------------------- |
|---|
| 616 | c |
|---|
| 617 | apoln = SSUM(iim,aire(1,1),1) |
|---|
| 618 | apols = SSUM(iim,aire(1,jjp1),1) |
|---|
| 619 | unsapolnga1 = 1./ ( apoln ** ( - gamdi_gdiv ) ) |
|---|
| 620 | unsapolsga1 = 1./ ( apols ** ( - gamdi_gdiv ) ) |
|---|
| 621 | unsapolnga2 = 1./ ( apoln ** ( - gamdi_h ) ) |
|---|
| 622 | unsapolsga2 = 1./ ( apols ** ( - gamdi_h ) ) |
|---|
| 623 | c |
|---|
| 624 | c----------------------------------------------------------------------- |
|---|
| 625 | c gtitre='Coriolis version ancienne' |
|---|
| 626 | c gfichier='fext1' |
|---|
| 627 | c CALL writestd(fext,iip1*jjm) |
|---|
| 628 | c |
|---|
| 629 | c changement F. Hourdin calcul conservatif pour fext |
|---|
| 630 | c constang contient le produit a * cos ( latitude ) * omega |
|---|
| 631 | c |
|---|
| 632 | DO i=1,iim |
|---|
| 633 | constang(i,1) = 0. |
|---|
| 634 | ENDDO |
|---|
| 635 | DO j=1,jjm-1 |
|---|
| 636 | DO i=1,iim |
|---|
| 637 | constang(i,j+1) = rad*omeg*cu(i,j+1)*COS(rlatu(j+1)) |
|---|
| 638 | ENDDO |
|---|
| 639 | ENDDO |
|---|
| 640 | DO i=1,iim |
|---|
| 641 | constang(i,jjp1) = 0. |
|---|
| 642 | ENDDO |
|---|
| 643 | c |
|---|
| 644 | c periodicite en longitude |
|---|
| 645 | c |
|---|
| 646 | DO j=1,jjm |
|---|
| 647 | fext(iip1,j) = fext(1,j) |
|---|
| 648 | ENDDO |
|---|
| 649 | DO j=1,jjp1 |
|---|
| 650 | constang(iip1,j) = constang(1,j) |
|---|
| 651 | ENDDO |
|---|
| 652 | |
|---|
| 653 | c fin du changement |
|---|
| 654 | |
|---|
| 655 | c |
|---|
| 656 | c----------------------------------------------------------------------- |
|---|
| 657 | c |
|---|
| 658 | WRITE(6,*) ' *** Coordonnees de la grille *** ' |
|---|
| 659 | WRITE(6,995) |
|---|
| 660 | c |
|---|
| 661 | WRITE(6,*) ' LONGITUDES aux pts. V ( degres ) ' |
|---|
| 662 | WRITE(6,995) |
|---|
| 663 | DO i=1,iip1 |
|---|
| 664 | rlonvv(i) = rlonv(i)*180./pi |
|---|
| 665 | ENDDO |
|---|
| 666 | WRITE(6,400) rlonvv |
|---|
| 667 | c |
|---|
| 668 | WRITE(6,995) |
|---|
| 669 | WRITE(6,*) ' LATITUDES aux pts. V ( degres ) ' |
|---|
| 670 | WRITE(6,995) |
|---|
| 671 | DO i=1,jjm |
|---|
| 672 | rlatuu(i)=rlatv(i)*180./pi |
|---|
| 673 | ENDDO |
|---|
| 674 | WRITE(6,400) (rlatuu(i),i=1,jjm) |
|---|
| 675 | c |
|---|
| 676 | DO i=1,iip1 |
|---|
| 677 | rlonvv(i)=rlonu(i)*180./pi |
|---|
| 678 | ENDDO |
|---|
| 679 | WRITE(6,995) |
|---|
| 680 | WRITE(6,*) ' LONGITUDES aux pts. U ( degres ) ' |
|---|
| 681 | WRITE(6,995) |
|---|
| 682 | WRITE(6,400) rlonvv |
|---|
| 683 | WRITE(6,995) |
|---|
| 684 | |
|---|
| 685 | WRITE(6,*) ' LATITUDES aux pts. U ( degres ) ' |
|---|
| 686 | WRITE(6,995) |
|---|
| 687 | DO i=1,jjp1 |
|---|
| 688 | rlatuu(i)=rlatu(i)*180./pi |
|---|
| 689 | ENDDO |
|---|
| 690 | WRITE(6,400) (rlatuu(i),i=1,jjp1) |
|---|
| 691 | WRITE(6,995) |
|---|
| 692 | c |
|---|
| 693 | 444 format(f10.3,f6.0) |
|---|
| 694 | 400 FORMAT(1x,8f8.2) |
|---|
| 695 | 990 FORMAT(//) |
|---|
| 696 | 995 FORMAT(/) |
|---|
| 697 | c |
|---|
| 698 | RETURN |
|---|
| 699 | END |
|---|
