| 1 | ! |
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| 2 | ! $Id: inigeom.f90 5285 2024-10-28 13:33:29Z evignon $ |
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| 3 | ! |
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| 4 | ! |
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| 5 | ! |
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| 6 | SUBROUTINE inigeom |
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| 7 | ! |
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| 8 | ! Auteur : P. Le Van |
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| 9 | ! |
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| 10 | ! ............ Version du 01/04/2001 ........................ |
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| 11 | ! |
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| 12 | ! Calcul des elongations cuij1,.cuij4 , cvij1,..cvij4 aux memes en- |
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| 13 | ! endroits que les aires aireij1,..aireij4 . |
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| 14 | |
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| 15 | ! Choix entre f(y) a derivee sinusoid. ou a derivee tangente hyperbol. |
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| 16 | ! |
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| 17 | ! |
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| 18 | USE comgeom2_mod_h |
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| 19 | USE comdissnew_mod_h |
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| 20 | use fxhyp_m, only: fxhyp |
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| 21 | use fyhyp_m, only: fyhyp |
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| 22 | USE comconst_mod, ONLY: pi, g, omeg, rad |
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| 23 | USE logic_mod, ONLY: fxyhypb, ysinus |
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| 24 | USE serre_mod, ONLY: clon,clat,grossismx,grossismy,dzoomx,dzoomy, & |
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| 25 | alphax,alphay,taux,tauy,transx,transy,pxo,pyo |
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| 26 | USE dimensions_mod, ONLY: iim, jjm, llm, ndm |
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| 27 | USE paramet_mod_h |
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| 28 | IMPLICIT NONE |
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| 29 | ! |
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| 30 | |
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| 31 | |
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| 32 | |
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| 33 | !----------------------------------------------------------------------- |
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| 34 | ! .... Variables locales .... |
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| 35 | ! |
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| 36 | INTEGER :: i,j,itmax,itmay,iter |
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| 37 | REAL :: cvu(iip1,jjp1),cuv(iip1,jjm) |
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| 38 | REAL :: ai14,ai23,airez,rlatp,rlatm,xprm,xprp,un4rad2,yprp,yprm |
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| 39 | REAL :: eps,x1,xo1,f,df,xdm,y1,yo1,ydm |
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| 40 | REAL :: coslatm,coslatp,radclatm,radclatp |
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| 41 | REAL :: cuij1(iip1,jjp1),cuij2(iip1,jjp1),cuij3(iip1,jjp1), & |
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| 42 | cuij4(iip1,jjp1) |
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| 43 | REAL :: cvij1(iip1,jjp1),cvij2(iip1,jjp1),cvij3(iip1,jjp1), & |
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| 44 | cvij4(iip1,jjp1) |
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| 45 | REAL :: rlonvv(iip1),rlatuu(jjp1) |
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| 46 | REAL :: rlatu1(jjm),yprimu1(jjm),rlatu2(jjm),yprimu2(jjm) , & |
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| 47 | yprimv(jjm),yprimu(jjp1) |
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| 48 | REAL :: gamdi_gdiv, gamdi_grot, gamdi_h |
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| 49 | |
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| 50 | REAL :: rlonm025(iip1),xprimm025(iip1), rlonp025(iip1), & |
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| 51 | xprimp025(iip1) |
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| 52 | SAVE rlatu1,yprimu1,rlatu2,yprimu2,yprimv,yprimu |
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| 53 | SAVE rlonm025,xprimm025,rlonp025,xprimp025 |
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| 54 | |
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| 55 | REAL :: SSUM |
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| 56 | ! |
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| 57 | ! |
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| 58 | ! ------------------------------------------------------------------ |
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| 59 | ! - - |
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| 60 | ! - calcul des coeff. ( cu, cv , 1./cu**2, 1./cv**2 ) - |
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| 61 | ! - - |
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| 62 | ! ------------------------------------------------------------------ |
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| 63 | ! |
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| 64 | ! les coef. ( cu, cv ) permettent de passer des vitesses naturelles |
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| 65 | ! aux vitesses covariantes et contravariantes , ou vice-versa ... |
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| 66 | ! |
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| 67 | ! |
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| 68 | ! on a : u (covariant) = cu * u (naturel) , u(contrav)= u(nat)/cu |
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| 69 | ! v (covariant) = cv * v (naturel) , v(contrav)= v(nat)/cv |
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| 70 | ! |
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| 71 | ! on en tire : u(covariant) = cu * cu * u(contravariant) |
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| 72 | ! v(covariant) = cv * cv * v(contravariant) |
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| 73 | ! |
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| 74 | ! |
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| 75 | ! on a l'application ( x(X) , y(Y) ) avec - im/2 +1 < X < im/2 |
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| 76 | ! = = |
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| 77 | ! et - jm/2 < Y < jm/2 |
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| 78 | ! = = |
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| 79 | ! |
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| 80 | ! ................................................... |
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| 81 | ! ................................................... |
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| 82 | ! . x est la longitude du point en radians . |
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| 83 | ! . y est la latitude du point en radians . |
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| 84 | ! . . |
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| 85 | ! . on a : cu(i,j) = rad * COS(y) * dx/dX . |
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| 86 | ! . cv( j ) = rad * dy/dY . |
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| 87 | ! . aire(i,j) = cu(i,j) * cv(j) . |
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| 88 | ! . . |
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| 89 | ! . y, dx/dX, dy/dY calcules aux points concernes . |
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| 90 | ! . . |
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| 91 | ! ................................................... |
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| 92 | ! ................................................... |
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| 93 | ! |
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| 94 | ! |
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| 95 | ! |
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| 96 | ! , |
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| 97 | ! cv , bien que dependant de j uniquement,sera ici indice aussi en i |
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| 98 | ! pour un adressage plus facile en ij . |
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| 99 | ! |
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| 100 | ! |
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| 101 | ! |
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| 102 | ! ************** aux points u et v , ***************** |
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| 103 | ! xprimu et xprimv sont respectivement les valeurs de dx/dX |
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| 104 | ! yprimu et yprimv . . . . . . . . . . . dy/dY |
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| 105 | ! rlatu et rlatv . . . . . . . . . . .la latitude |
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| 106 | ! cvu et cv . . . . . . . . . . . cv |
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| 107 | ! |
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| 108 | ! ************** aux points u, v, scalaires, et z **************** |
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| 109 | ! cu, cuv, cuscal, cuz sont respectiv. les valeurs de cu |
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| 110 | ! |
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| 111 | ! |
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| 112 | ! |
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| 113 | ! Exemple de distribution de variables sur la grille dans le |
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| 114 | ! domaine de travail ( X,Y ) . |
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| 115 | ! ................................................................ |
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| 116 | ! DX=DY= 1 |
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| 117 | ! |
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| 118 | ! |
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| 119 | ! + represente un point scalaire ( p.exp la pression ) |
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| 120 | ! > represente la composante zonale du vent |
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| 121 | ! V represente la composante meridienne du vent |
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| 122 | ! o represente la vorticite |
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| 123 | ! |
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| 124 | ! ---- , car aux poles , les comp.zonales covariantes sont nulles |
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| 125 | ! |
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| 126 | ! |
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| 127 | ! |
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| 128 | ! i -> |
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| 129 | ! |
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| 130 | ! 1 2 3 4 5 6 7 8 |
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| 131 | ! j |
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| 132 | ! v 1 + ---- + ---- + ---- + ---- + ---- + ---- + ---- + -- |
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| 133 | ! |
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| 134 | ! V o V o V o V o V o V o V o V o |
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| 135 | ! |
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| 136 | ! 2 + > + > + > + > + > + > + > + > |
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| 137 | ! |
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| 138 | ! V o V o V o V o V o V o V o V o |
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| 139 | ! |
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| 140 | ! 3 + > + > + > + > + > + > + > + > |
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| 141 | ! |
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| 142 | ! V o V o V o V o V o V o V o V o |
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| 143 | ! |
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| 144 | ! 4 + > + > + > + > + > + > + > + > |
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| 145 | ! |
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| 146 | ! V o V o V o V o V o V o V o V o |
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| 147 | ! |
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| 148 | ! 5 + ---- + ---- + ---- + ---- + ---- + ---- + ---- + -- |
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| 149 | ! |
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| 150 | ! |
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| 151 | ! Ci-dessus, on voit que le nombre de pts.en longitude est egal |
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| 152 | ! a IM = 8 |
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| 153 | ! De meme , le nombre d'intervalles entre les 2 poles est egal |
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| 154 | ! a JM = 4 |
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| 155 | ! |
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| 156 | ! Les points scalaires ( + ) correspondent donc a des valeurs |
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| 157 | ! entieres de i ( 1 a IM ) et de j ( 1 a JM +1 ) . |
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| 158 | ! |
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| 159 | ! Les vents U ( > ) correspondent a des valeurs semi- |
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| 160 | ! entieres de i ( 1+ 0.5 a IM+ 0.5) et entieres de j ( 1 a JM+1) |
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| 161 | ! |
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| 162 | ! Les vents V ( V ) correspondent a des valeurs entieres |
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| 163 | ! de i ( 1 a IM ) et semi-entieres de j ( 1 +0.5 a JM +0.5) |
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| 164 | ! |
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| 165 | ! |
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| 166 | ! |
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| 167 | WRITE(6,3) |
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| 168 | 3 FORMAT( // 10x,' .... INIGEOM date du 01/06/98 ..... ', & |
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| 169 | //5x,' Calcul des elongations cu et cv comme sommes des 4 ' / & |
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| 170 | 5 x,' elong. cuij1, .. 4 , cvij1,.. 4 qui les entourent , aux& |
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| 171 | & '/ 5x,' memes endroits que les aires aireij1,...j4 . ' / ) |
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| 172 | ! |
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| 173 | ! |
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| 174 | IF( nitergdiv.NE.2 ) THEN |
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| 175 | gamdi_gdiv = coefdis/ ( REAL(nitergdiv) -2. ) |
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| 176 | ELSE |
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| 177 | gamdi_gdiv = 0. |
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| 178 | ENDIF |
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| 179 | IF( nitergrot.NE.2 ) THEN |
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| 180 | gamdi_grot = coefdis/ ( REAL(nitergrot) -2. ) |
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| 181 | ELSE |
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| 182 | gamdi_grot = 0. |
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| 183 | ENDIF |
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| 184 | IF( niterh.NE.2 ) THEN |
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| 185 | gamdi_h = coefdis/ ( REAL(niterh) -2. ) |
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| 186 | ELSE |
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| 187 | gamdi_h = 0. |
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| 188 | ENDIF |
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| 189 | |
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| 190 | WRITE(6,*) ' gamdi_gd ',gamdi_gdiv,gamdi_grot,gamdi_h,coefdis, & |
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| 191 | nitergdiv,nitergrot,niterh |
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| 192 | ! |
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| 193 | pi = 2.* ASIN(1.) |
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| 194 | ! |
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| 195 | WRITE(6,990) |
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| 196 | |
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| 197 | ! ---------------------------------------------------------------- |
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| 198 | ! |
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| 199 | IF( .NOT.fxyhypb ) THEN |
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| 200 | ! |
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| 201 | ! |
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| 202 | IF( ysinus ) THEN |
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| 203 | ! |
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| 204 | WRITE(6,*) ' *** Inigeom , Y = Sinus ( Latitude ) *** ' |
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| 205 | ! |
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| 206 | ! .... utilisation de f(x,y ) avec y = sinus de la latitude ..... |
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| 207 | |
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| 208 | CALL fxysinus (rlatu,yprimu,rlatv,yprimv,rlatu1,yprimu1, & |
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| 209 | rlatu2,yprimu2, & |
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| 210 | rlonu,xprimu,rlonv,xprimv,rlonm025,xprimm025,rlonp025,xprimp025) |
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| 211 | |
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| 212 | ELSE |
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| 213 | ! |
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| 214 | WRITE(6,*) '*** Inigeom , Y = Latitude , der. sinusoid . ***' |
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| 215 | |
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| 216 | ! .... utilisation de f(x,y) a tangente sinusoidale , y etant la latit. ... |
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| 217 | ! |
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| 218 | |
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| 219 | pxo = clon *pi /180. |
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| 220 | pyo = 2.* clat* pi /180. |
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| 221 | ! |
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| 222 | ! .... determination de transx ( pour le zoom ) par Newton-Raphson ... |
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| 223 | ! |
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| 224 | itmax = 10 |
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| 225 | eps = .1e-7 |
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| 226 | ! |
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| 227 | xo1 = 0. |
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| 228 | DO iter = 1, itmax |
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| 229 | x1 = xo1 |
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| 230 | f = x1+ alphax *SIN(x1-pxo) |
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| 231 | df = 1.+ alphax *COS(x1-pxo) |
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| 232 | x1 = x1 - f/df |
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| 233 | xdm = ABS( x1- xo1 ) |
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| 234 | IF( xdm.LE.eps )GO TO 11 |
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| 235 | xo1 = x1 |
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| 236 | END DO |
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| 237 | 11 CONTINUE |
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| 238 | ! |
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| 239 | transx = xo1 |
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| 240 | |
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| 241 | itmay = 10 |
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| 242 | eps = .1e-7 |
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| 243 | ! |
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| 244 | yo1 = 0. |
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| 245 | DO iter = 1,itmay |
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| 246 | y1 = yo1 |
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| 247 | f = y1 + alphay* SIN(y1-pyo) |
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| 248 | df = 1. + alphay* COS(y1-pyo) |
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| 249 | y1 = y1 -f/df |
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| 250 | ydm = ABS(y1-yo1) |
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| 251 | IF(ydm.LE.eps) GO TO 17 |
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| 252 | yo1 = y1 |
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| 253 | END DO |
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| 254 | ! |
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| 255 | 17 CONTINUE |
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| 256 | transy = yo1 |
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| 257 | |
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| 258 | CALL fxy ( rlatu,yprimu,rlatv,yprimv,rlatu1,yprimu1, & |
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| 259 | rlatu2,yprimu2, & |
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| 260 | rlonu,xprimu,rlonv,xprimv,rlonm025,xprimm025,rlonp025,xprimp025) |
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| 261 | |
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| 262 | ENDIF |
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| 263 | ! |
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| 264 | ELSE |
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| 265 | ! |
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| 266 | ! .... Utilisation de fxyhyper , f(x,y) a derivee tangente hyperbol. |
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| 267 | ! ..................................................................... |
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| 268 | |
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| 269 | WRITE(6,*)'*** Inigeom , Y = Latitude , der.tg. hyperbolique ***' |
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| 270 | |
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| 271 | CALL fyhyp(rlatu, yprimu, rlatv, rlatu2, yprimu2, rlatu1, yprimu1) |
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| 272 | CALL fxhyp(xprimm025, rlonv, xprimv, rlonu, xprimu, xprimp025) |
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| 273 | |
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| 274 | ENDIF |
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| 275 | ! |
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| 276 | ! ------------------------------------------------------------------- |
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| 277 | |
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| 278 | ! |
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| 279 | rlatu(1) = ASIN(1.) |
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| 280 | rlatu(jjp1) = - rlatu(1) |
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| 281 | ! |
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| 282 | ! |
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| 283 | ! .... calcul aux poles .... |
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| 284 | ! |
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| 285 | yprimu(1) = 0. |
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| 286 | yprimu(jjp1) = 0. |
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| 287 | ! |
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| 288 | ! |
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| 289 | un4rad2 = 0.25 * rad * rad |
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| 290 | ! |
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| 291 | ! -------------------------------------------------------------------- |
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| 292 | ! -------------------------------------------------------------------- |
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| 293 | ! - - |
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| 294 | ! - calcul des aires ( aire,aireu,airev, 1./aire, 1./airez ) - |
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| 295 | ! - et de fext , force de coriolis extensive . - |
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| 296 | ! - - |
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| 297 | ! -------------------------------------------------------------------- |
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| 298 | ! -------------------------------------------------------------------- |
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| 299 | ! |
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| 300 | ! |
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| 301 | ! |
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| 302 | ! A 1 point scalaire P (i,j) de la grille, reguliere en (X,Y) , sont |
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| 303 | ! affectees 4 aires entourant P , calculees respectivement aux points |
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| 304 | ! ( i + 1/4, j - 1/4 ) : aireij1 (i,j) |
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| 305 | ! ( i + 1/4, j + 1/4 ) : aireij2 (i,j) |
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| 306 | ! ( i - 1/4, j + 1/4 ) : aireij3 (i,j) |
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| 307 | ! ( i - 1/4, j - 1/4 ) : aireij4 (i,j) |
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| 308 | ! |
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| 309 | ! , |
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| 310 | ! Les cotes de chacun de ces 4 carres etant egaux a 1/2 suivant (X,Y). |
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| 311 | ! Chaque aire centree en 1 point scalaire P(i,j) est egale a la somme |
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| 312 | ! des 4 aires aireij1,aireij2,aireij3,aireij4 qui sont affectees au |
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| 313 | ! point (i,j) . |
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| 314 | ! On definit en outre les coefficients alpha comme etant egaux a |
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| 315 | ! (aireij / aire), c.a.d par exp. alpha1(i,j)=aireij1(i,j)/aire(i,j) |
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| 316 | ! |
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| 317 | ! De meme, toute aire centree en 1 point U est egale a la somme des |
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| 318 | ! 4 aires aireij1,aireij2,aireij3,aireij4 entourant le point U . |
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| 319 | ! Idem pour airev, airez . |
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| 320 | ! |
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| 321 | ! On a ,pour chaque maille : dX = dY = 1 |
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| 322 | ! |
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| 323 | ! |
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| 324 | ! . V |
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| 325 | ! |
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| 326 | ! aireij4 . . aireij1 |
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| 327 | ! |
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| 328 | ! U . . P . U |
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| 329 | ! |
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| 330 | ! aireij3 . . aireij2 |
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| 331 | ! |
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| 332 | ! . V |
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| 333 | ! |
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| 334 | ! |
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| 335 | ! |
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| 336 | ! |
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| 337 | ! |
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| 338 | ! .................................................................... |
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| 339 | ! |
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| 340 | ! Calcul des 4 aires elementaires aireij1,aireij2,aireij3,aireij4 |
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| 341 | ! qui entourent chaque aire(i,j) , ainsi que les 4 elongations elemen |
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| 342 | ! taires cuij et les 4 elongat. cvij qui sont calculees aux memes |
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| 343 | ! endroits que les aireij . |
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| 344 | ! |
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| 345 | ! .................................................................... |
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| 346 | ! |
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| 347 | ! ....... do 35 : boucle sur les jjm + 1 latitudes ..... |
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| 348 | ! |
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| 349 | ! |
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| 350 | DO j = 1, jjp1 |
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| 351 | ! |
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| 352 | IF ( j.EQ. 1 ) THEN |
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| 353 | ! |
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| 354 | yprm = yprimu1(j) |
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| 355 | rlatm = rlatu1(j) |
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| 356 | ! |
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| 357 | coslatm = COS( rlatm ) |
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| 358 | radclatm = 0.5* rad * coslatm |
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| 359 | ! |
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| 360 | DO i = 1, iim |
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| 361 | xprp = xprimp025( i ) |
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| 362 | xprm = xprimm025( i ) |
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| 363 | aireij2( i,1 ) = un4rad2 * coslatm * xprp * yprm |
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| 364 | aireij3( i,1 ) = un4rad2 * coslatm * xprm * yprm |
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| 365 | cuij2 ( i,1 ) = radclatm * xprp |
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| 366 | cuij3 ( i,1 ) = radclatm * xprm |
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| 367 | cvij2 ( i,1 ) = 0.5* rad * yprm |
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| 368 | cvij3 ( i,1 ) = cvij2(i,1) |
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| 369 | END DO |
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| 370 | ! |
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| 371 | DO i = 1, iim |
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| 372 | aireij1( i,1 ) = 0. |
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| 373 | aireij4( i,1 ) = 0. |
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| 374 | cuij1 ( i,1 ) = 0. |
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| 375 | cuij4 ( i,1 ) = 0. |
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| 376 | cvij1 ( i,1 ) = 0. |
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| 377 | cvij4 ( i,1 ) = 0. |
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| 378 | ENDDO |
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| 379 | ! |
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| 380 | END IF |
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| 381 | ! |
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| 382 | IF ( j.EQ. jjp1 ) THEN |
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| 383 | yprp = yprimu2(j-1) |
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| 384 | rlatp = rlatu2 (j-1) |
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| 385 | !cc yprp = fyprim( REAL(j) - 0.25 ) |
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| 386 | !cc rlatp = fy ( REAL(j) - 0.25 ) |
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| 387 | ! |
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| 388 | coslatp = COS( rlatp ) |
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| 389 | radclatp = 0.5* rad * coslatp |
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| 390 | ! |
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| 391 | DO i = 1,iim |
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| 392 | xprp = xprimp025( i ) |
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| 393 | xprm = xprimm025( i ) |
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| 394 | aireij1( i,jjp1 ) = un4rad2 * coslatp * xprp * yprp |
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| 395 | aireij4( i,jjp1 ) = un4rad2 * coslatp * xprm * yprp |
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| 396 | cuij1(i,jjp1) = radclatp * xprp |
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| 397 | cuij4(i,jjp1) = radclatp * xprm |
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| 398 | cvij1(i,jjp1) = 0.5 * rad* yprp |
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| 399 | cvij4(i,jjp1) = cvij1(i,jjp1) |
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| 400 | END DO |
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| 401 | ! |
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| 402 | DO i = 1, iim |
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| 403 | aireij2( i,jjp1 ) = 0. |
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| 404 | aireij3( i,jjp1 ) = 0. |
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| 405 | cvij2 ( i,jjp1 ) = 0. |
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| 406 | cvij3 ( i,jjp1 ) = 0. |
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| 407 | cuij2 ( i,jjp1 ) = 0. |
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| 408 | cuij3 ( i,jjp1 ) = 0. |
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| 409 | ENDDO |
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| 410 | ! |
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| 411 | END IF |
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| 412 | ! |
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| 413 | |
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| 414 | IF ( j .gt. 1 .AND. j .lt. jjp1 ) THEN |
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| 415 | ! |
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| 416 | rlatp = rlatu2 ( j-1 ) |
|---|
| 417 | yprp = yprimu2( j-1 ) |
|---|
| 418 | rlatm = rlatu1 ( j ) |
|---|
| 419 | yprm = yprimu1( j ) |
|---|
| 420 | !c rlatp = fy ( REAL(j) - 0.25 ) |
|---|
| 421 | !c yprp = fyprim( REAL(j) - 0.25 ) |
|---|
| 422 | !c rlatm = fy ( REAL(j) + 0.25 ) |
|---|
| 423 | !c yprm = fyprim( REAL(j) + 0.25 ) |
|---|
| 424 | |
|---|
| 425 | coslatm = COS( rlatm ) |
|---|
| 426 | coslatp = COS( rlatp ) |
|---|
| 427 | radclatp = 0.5* rad * coslatp |
|---|
| 428 | radclatm = 0.5* rad * coslatm |
|---|
| 429 | ! |
|---|
| 430 | ai14 = un4rad2 * coslatp * yprp |
|---|
| 431 | ai23 = un4rad2 * coslatm * yprm |
|---|
| 432 | DO i = 1,iim |
|---|
| 433 | xprp = xprimp025( i ) |
|---|
| 434 | xprm = xprimm025( i ) |
|---|
| 435 | |
|---|
| 436 | aireij1 ( i,j ) = ai14 * xprp |
|---|
| 437 | aireij2 ( i,j ) = ai23 * xprp |
|---|
| 438 | aireij3 ( i,j ) = ai23 * xprm |
|---|
| 439 | aireij4 ( i,j ) = ai14 * xprm |
|---|
| 440 | cuij1 ( i,j ) = radclatp * xprp |
|---|
| 441 | cuij2 ( i,j ) = radclatm * xprp |
|---|
| 442 | cuij3 ( i,j ) = radclatm * xprm |
|---|
| 443 | cuij4 ( i,j ) = radclatp * xprm |
|---|
| 444 | cvij1 ( i,j ) = 0.5* rad * yprp |
|---|
| 445 | cvij2 ( i,j ) = 0.5* rad * yprm |
|---|
| 446 | cvij3 ( i,j ) = cvij2(i,j) |
|---|
| 447 | cvij4 ( i,j ) = cvij1(i,j) |
|---|
| 448 | END DO |
|---|
| 449 | ! |
|---|
| 450 | END IF |
|---|
| 451 | ! |
|---|
| 452 | ! ........ periodicite ............ |
|---|
| 453 | ! |
|---|
| 454 | cvij1 (iip1,j) = cvij1 (1,j) |
|---|
| 455 | cvij2 (iip1,j) = cvij2 (1,j) |
|---|
| 456 | cvij3 (iip1,j) = cvij3 (1,j) |
|---|
| 457 | cvij4 (iip1,j) = cvij4 (1,j) |
|---|
| 458 | cuij1 (iip1,j) = cuij1 (1,j) |
|---|
| 459 | cuij2 (iip1,j) = cuij2 (1,j) |
|---|
| 460 | cuij3 (iip1,j) = cuij3 (1,j) |
|---|
| 461 | cuij4 (iip1,j) = cuij4 (1,j) |
|---|
| 462 | aireij1 (iip1,j) = aireij1 (1,j ) |
|---|
| 463 | aireij2 (iip1,j) = aireij2 (1,j ) |
|---|
| 464 | aireij3 (iip1,j) = aireij3 (1,j ) |
|---|
| 465 | aireij4 (iip1,j) = aireij4 (1,j ) |
|---|
| 466 | |
|---|
| 467 | END DO |
|---|
| 468 | ! |
|---|
| 469 | ! .............................................................. |
|---|
| 470 | ! |
|---|
| 471 | DO j = 1, jjp1 |
|---|
| 472 | DO i = 1, iim |
|---|
| 473 | aire ( i,j ) = aireij1(i,j) + aireij2(i,j) + aireij3(i,j) + & |
|---|
| 474 | aireij4(i,j) |
|---|
| 475 | alpha1 ( i,j ) = aireij1(i,j) / aire(i,j) |
|---|
| 476 | alpha2 ( i,j ) = aireij2(i,j) / aire(i,j) |
|---|
| 477 | alpha3 ( i,j ) = aireij3(i,j) / aire(i,j) |
|---|
| 478 | alpha4 ( i,j ) = aireij4(i,j) / aire(i,j) |
|---|
| 479 | alpha1p2( i,j ) = alpha1 (i,j) + alpha2 (i,j) |
|---|
| 480 | alpha1p4( i,j ) = alpha1 (i,j) + alpha4 (i,j) |
|---|
| 481 | alpha2p3( i,j ) = alpha2 (i,j) + alpha3 (i,j) |
|---|
| 482 | alpha3p4( i,j ) = alpha3 (i,j) + alpha4 (i,j) |
|---|
| 483 | END DO |
|---|
| 484 | ! |
|---|
| 485 | ! |
|---|
| 486 | aire (iip1,j) = aire (1,j) |
|---|
| 487 | alpha1 (iip1,j) = alpha1 (1,j) |
|---|
| 488 | alpha2 (iip1,j) = alpha2 (1,j) |
|---|
| 489 | alpha3 (iip1,j) = alpha3 (1,j) |
|---|
| 490 | alpha4 (iip1,j) = alpha4 (1,j) |
|---|
| 491 | alpha1p2(iip1,j) = alpha1p2(1,j) |
|---|
| 492 | alpha1p4(iip1,j) = alpha1p4(1,j) |
|---|
| 493 | alpha2p3(iip1,j) = alpha2p3(1,j) |
|---|
| 494 | alpha3p4(iip1,j) = alpha3p4(1,j) |
|---|
| 495 | END DO |
|---|
| 496 | ! |
|---|
| 497 | |
|---|
| 498 | DO j = 1,jjp1 |
|---|
| 499 | DO i = 1,iim |
|---|
| 500 | aireu (i,j)= aireij1(i,j) + aireij2(i,j) + aireij4(i+1,j) + & |
|---|
| 501 | aireij3(i+1,j) |
|---|
| 502 | unsaire ( i,j)= 1./ aire(i,j) |
|---|
| 503 | unsair_gam1( i,j)= unsaire(i,j)** ( - gamdi_gdiv ) |
|---|
| 504 | unsair_gam2( i,j)= unsaire(i,j)** ( - gamdi_h ) |
|---|
| 505 | airesurg ( i,j)= aire(i,j)/ g |
|---|
| 506 | END DO |
|---|
| 507 | aireu (iip1,j) = aireu (1,j) |
|---|
| 508 | unsaire (iip1,j) = unsaire(1,j) |
|---|
| 509 | unsair_gam1(iip1,j) = unsair_gam1(1,j) |
|---|
| 510 | unsair_gam2(iip1,j) = unsair_gam2(1,j) |
|---|
| 511 | airesurg (iip1,j) = airesurg(1,j) |
|---|
| 512 | END DO |
|---|
| 513 | ! |
|---|
| 514 | ! |
|---|
| 515 | DO j = 1,jjm |
|---|
| 516 | ! |
|---|
| 517 | DO i=1,iim |
|---|
| 518 | airev (i,j) = aireij2(i,j)+ aireij3(i,j)+ aireij1(i,j+1) + & |
|---|
| 519 | aireij4(i,j+1) |
|---|
| 520 | ENDDO |
|---|
| 521 | DO i=1,iim |
|---|
| 522 | airez = aireij2(i,j)+aireij1(i,j+1)+aireij3(i+1,j) + & |
|---|
| 523 | aireij4(i+1,j+1) |
|---|
| 524 | unsairez(i,j) = 1./ airez |
|---|
| 525 | unsairz_gam(i,j)= unsairez(i,j)** ( - gamdi_grot ) |
|---|
| 526 | fext (i,j) = airez * SIN(rlatv(j))* 2.* omeg |
|---|
| 527 | ENDDO |
|---|
| 528 | airev (iip1,j) = airev(1,j) |
|---|
| 529 | unsairez (iip1,j) = unsairez(1,j) |
|---|
| 530 | fext (iip1,j) = fext(1,j) |
|---|
| 531 | unsairz_gam(iip1,j) = unsairz_gam(1,j) |
|---|
| 532 | ! |
|---|
| 533 | END DO |
|---|
| 534 | ! |
|---|
| 535 | ! |
|---|
| 536 | ! ..... Calcul des elongations cu,cv, cvu ......... |
|---|
| 537 | ! |
|---|
| 538 | DO j = 1, jjm |
|---|
| 539 | DO i = 1, iim |
|---|
| 540 | cv(i,j) = 0.5 *( cvij2(i,j)+cvij3(i,j)+cvij1(i,j+1)+cvij4(i,j+1)) |
|---|
| 541 | cvu(i,j)= 0.5 *( cvij1(i,j)+cvij4(i,j)+cvij2(i,j) +cvij3(i,j) ) |
|---|
| 542 | cuv(i,j)= 0.5 *( cuij2(i,j)+cuij3(i,j)+cuij1(i,j+1)+cuij4(i,j+1)) |
|---|
| 543 | unscv2(i,j) = 1./ ( cv(i,j)*cv(i,j) ) |
|---|
| 544 | ENDDO |
|---|
| 545 | DO i = 1, iim |
|---|
| 546 | cuvsurcv (i,j) = airev(i,j) * unscv2(i,j) |
|---|
| 547 | cvsurcuv (i,j) = 1./cuvsurcv(i,j) |
|---|
| 548 | cuvscvgam1(i,j) = cuvsurcv (i,j) ** ( - gamdi_gdiv ) |
|---|
| 549 | cuvscvgam2(i,j) = cuvsurcv (i,j) ** ( - gamdi_h ) |
|---|
| 550 | cvscuvgam(i,j) = cvsurcuv (i,j) ** ( - gamdi_grot ) |
|---|
| 551 | ENDDO |
|---|
| 552 | cv (iip1,j) = cv (1,j) |
|---|
| 553 | cvu (iip1,j) = cvu (1,j) |
|---|
| 554 | unscv2 (iip1,j) = unscv2 (1,j) |
|---|
| 555 | cuv (iip1,j) = cuv (1,j) |
|---|
| 556 | cuvsurcv (iip1,j) = cuvsurcv (1,j) |
|---|
| 557 | cvsurcuv (iip1,j) = cvsurcuv (1,j) |
|---|
| 558 | cuvscvgam1(iip1,j) = cuvscvgam1(1,j) |
|---|
| 559 | cuvscvgam2(iip1,j) = cuvscvgam2(1,j) |
|---|
| 560 | cvscuvgam(iip1,j) = cvscuvgam(1,j) |
|---|
| 561 | ENDDO |
|---|
| 562 | |
|---|
| 563 | DO j = 2, jjm |
|---|
| 564 | DO i = 1, iim |
|---|
| 565 | cu(i,j) = 0.5*(cuij1(i,j)+cuij4(i+1,j)+cuij2(i,j)+cuij3(i+1,j)) |
|---|
| 566 | unscu2 (i,j) = 1./ ( cu(i,j) * cu(i,j) ) |
|---|
| 567 | cvusurcu (i,j) = aireu(i,j) * unscu2(i,j) |
|---|
| 568 | cusurcvu (i,j) = 1./ cvusurcu(i,j) |
|---|
| 569 | cvuscugam1 (i,j) = cvusurcu(i,j) ** ( - gamdi_gdiv ) |
|---|
| 570 | cvuscugam2 (i,j) = cvusurcu(i,j) ** ( - gamdi_h ) |
|---|
| 571 | cuscvugam (i,j) = cusurcvu(i,j) ** ( - gamdi_grot ) |
|---|
| 572 | ENDDO |
|---|
| 573 | cu (iip1,j) = cu(1,j) |
|---|
| 574 | unscu2 (iip1,j) = unscu2(1,j) |
|---|
| 575 | cvusurcu (iip1,j) = cvusurcu(1,j) |
|---|
| 576 | cusurcvu (iip1,j) = cusurcvu(1,j) |
|---|
| 577 | cvuscugam1(iip1,j) = cvuscugam1(1,j) |
|---|
| 578 | cvuscugam2(iip1,j) = cvuscugam2(1,j) |
|---|
| 579 | cuscvugam (iip1,j) = cuscvugam(1,j) |
|---|
| 580 | ENDDO |
|---|
| 581 | |
|---|
| 582 | ! |
|---|
| 583 | ! .... calcul aux poles .... |
|---|
| 584 | ! |
|---|
| 585 | DO i = 1, iip1 |
|---|
| 586 | cu ( i, 1 ) = 0. |
|---|
| 587 | unscu2( i, 1 ) = 0. |
|---|
| 588 | cvu ( i, 1 ) = 0. |
|---|
| 589 | ! |
|---|
| 590 | cu (i, jjp1) = 0. |
|---|
| 591 | unscu2(i, jjp1) = 0. |
|---|
| 592 | cvu (i, jjp1) = 0. |
|---|
| 593 | ENDDO |
|---|
| 594 | ! |
|---|
| 595 | ! .............................................................. |
|---|
| 596 | ! |
|---|
| 597 | DO j = 1, jjm |
|---|
| 598 | DO i= 1, iim |
|---|
| 599 | airvscu2 (i,j) = airev(i,j)/ ( cuv(i,j) * cuv(i,j) ) |
|---|
| 600 | aivscu2gam(i,j) = airvscu2(i,j)** ( - gamdi_grot ) |
|---|
| 601 | ENDDO |
|---|
| 602 | airvscu2 (iip1,j) = airvscu2(1,j) |
|---|
| 603 | aivscu2gam(iip1,j) = aivscu2gam(1,j) |
|---|
| 604 | ENDDO |
|---|
| 605 | |
|---|
| 606 | DO j=2,jjm |
|---|
| 607 | DO i=1,iim |
|---|
| 608 | airuscv2 (i,j) = aireu(i,j)/ ( cvu(i,j) * cvu(i,j) ) |
|---|
| 609 | aiuscv2gam (i,j) = airuscv2(i,j)** ( - gamdi_grot ) |
|---|
| 610 | ENDDO |
|---|
| 611 | airuscv2 (iip1,j) = airuscv2 (1,j) |
|---|
| 612 | aiuscv2gam(iip1,j) = aiuscv2gam(1,j) |
|---|
| 613 | ENDDO |
|---|
| 614 | |
|---|
| 615 | ! |
|---|
| 616 | ! calcul des aires aux poles : |
|---|
| 617 | ! ----------------------------- |
|---|
| 618 | ! |
|---|
| 619 | apoln = SSUM(iim,aire(1,1),1) |
|---|
| 620 | apols = SSUM(iim,aire(1,jjp1),1) |
|---|
| 621 | unsapolnga1 = 1./ ( apoln ** ( - gamdi_gdiv ) ) |
|---|
| 622 | unsapolsga1 = 1./ ( apols ** ( - gamdi_gdiv ) ) |
|---|
| 623 | unsapolnga2 = 1./ ( apoln ** ( - gamdi_h ) ) |
|---|
| 624 | unsapolsga2 = 1./ ( apols ** ( - gamdi_h ) ) |
|---|
| 625 | ! |
|---|
| 626 | !----------------------------------------------------------------------- |
|---|
| 627 | ! gtitre='Coriolis version ancienne' |
|---|
| 628 | ! gfichier='fext1' |
|---|
| 629 | ! CALL writestd(fext,iip1*jjm) |
|---|
| 630 | ! |
|---|
| 631 | ! changement F. Hourdin calcul conservatif pour fext |
|---|
| 632 | ! constang contient le produit a * cos ( latitude ) * omega |
|---|
| 633 | ! |
|---|
| 634 | DO i=1,iim |
|---|
| 635 | constang(i,1) = 0. |
|---|
| 636 | ENDDO |
|---|
| 637 | DO j=1,jjm-1 |
|---|
| 638 | DO i=1,iim |
|---|
| 639 | constang(i,j+1) = rad*omeg*cu(i,j+1)*COS(rlatu(j+1)) |
|---|
| 640 | ENDDO |
|---|
| 641 | ENDDO |
|---|
| 642 | DO i=1,iim |
|---|
| 643 | constang(i,jjp1) = 0. |
|---|
| 644 | ENDDO |
|---|
| 645 | ! |
|---|
| 646 | ! periodicite en longitude |
|---|
| 647 | ! |
|---|
| 648 | DO j=1,jjm |
|---|
| 649 | fext(iip1,j) = fext(1,j) |
|---|
| 650 | ENDDO |
|---|
| 651 | DO j=1,jjp1 |
|---|
| 652 | constang(iip1,j) = constang(1,j) |
|---|
| 653 | ENDDO |
|---|
| 654 | |
|---|
| 655 | ! fin du changement |
|---|
| 656 | |
|---|
| 657 | ! |
|---|
| 658 | !----------------------------------------------------------------------- |
|---|
| 659 | ! |
|---|
| 660 | WRITE(6,*) ' *** Coordonnees de la grille *** ' |
|---|
| 661 | WRITE(6,995) |
|---|
| 662 | ! |
|---|
| 663 | WRITE(6,*) ' LONGITUDES aux pts. V ( degres ) ' |
|---|
| 664 | WRITE(6,995) |
|---|
| 665 | DO i=1,iip1 |
|---|
| 666 | rlonvv(i) = rlonv(i)*180./pi |
|---|
| 667 | ENDDO |
|---|
| 668 | WRITE(6,400) rlonvv |
|---|
| 669 | ! |
|---|
| 670 | WRITE(6,995) |
|---|
| 671 | WRITE(6,*) ' LATITUDES aux pts. V ( degres ) ' |
|---|
| 672 | WRITE(6,995) |
|---|
| 673 | DO i=1,jjm |
|---|
| 674 | rlatuu(i)=rlatv(i)*180./pi |
|---|
| 675 | ENDDO |
|---|
| 676 | WRITE(6,400) (rlatuu(i),i=1,jjm) |
|---|
| 677 | ! |
|---|
| 678 | DO i=1,iip1 |
|---|
| 679 | rlonvv(i)=rlonu(i)*180./pi |
|---|
| 680 | ENDDO |
|---|
| 681 | WRITE(6,995) |
|---|
| 682 | WRITE(6,*) ' LONGITUDES aux pts. U ( degres ) ' |
|---|
| 683 | WRITE(6,995) |
|---|
| 684 | WRITE(6,400) rlonvv |
|---|
| 685 | WRITE(6,995) |
|---|
| 686 | |
|---|
| 687 | WRITE(6,*) ' LATITUDES aux pts. U ( degres ) ' |
|---|
| 688 | WRITE(6,995) |
|---|
| 689 | DO i=1,jjp1 |
|---|
| 690 | rlatuu(i)=rlatu(i)*180./pi |
|---|
| 691 | ENDDO |
|---|
| 692 | WRITE(6,400) (rlatuu(i),i=1,jjp1) |
|---|
| 693 | WRITE(6,995) |
|---|
| 694 | ! |
|---|
| 695 | 444 format(f10.3,f6.0) |
|---|
| 696 | 400 FORMAT(1x,8f8.2) |
|---|
| 697 | 990 FORMAT(//) |
|---|
| 698 | 995 FORMAT(/) |
|---|
| 699 | ! |
|---|
| 700 | RETURN |
|---|
| 701 | END SUBROUTINE inigeom |
|---|
