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guez |
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SUBROUTINE inigeom |
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c Auteur : P. Le Van |
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c ............ Version du 01/04/2001 ................... |
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c |
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c Calcul des elongations cuij1,.cuij4 , cvij1,..cvij4 aux memes en- |
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c endroits que les aires aireij1_2d,..aireij4_2d . |
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c Choix entre f(y) a derivee sinusoid. ou a derivee tangente hyperbol. |
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C Possibilité d'appeler une fonction "f(y)" à |
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C dérivée tangente hyperbolique à la place de la fonction à dérivée |
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C sinusoïdale. |
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c |
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c |
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use dimens_m |
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use paramet_m |
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use comconst |
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use comdissnew |
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use logic |
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use comgeom |
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use serre |
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IMPLICIT NONE |
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c |
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c------------------------------------------------------------------ |
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c .... Variables locales .... |
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c |
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INTEGER i,j,itmax,itmay,iter |
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REAL cvu(iip1,jjp1),cuv(iip1,jjm) |
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REAL ai14,ai23,airez,rlatp,rlatm,xprm,xprp,un4rad2,yprp,yprm |
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REAL eps,x1,xo1,f,df,xdm,y1,yo1,ydm |
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REAL coslatm,coslatp,radclatm,radclatp |
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REAL cuij1(iip1,jjp1),cuij2(iip1,jjp1),cuij3(iip1,jjp1), |
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* cuij4(iip1,jjp1) |
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REAL cvij1(iip1,jjp1),cvij2(iip1,jjp1),cvij3(iip1,jjp1), |
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* cvij4(iip1,jjp1) |
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REAL rlonvv(iip1),rlatuu(jjp1) |
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REAL rlatu1(jjm),yprimu1(jjm),rlatu2(jjm),yprimu2(jjm) , |
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* yprimv(jjm),yprimu(jjp1) |
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REAL gamdi_gdiv, gamdi_grot, gamdi_h |
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REAL rlonm025(iip1),xprimm025(iip1), rlonp025(iip1), |
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, xprimp025(iip1) |
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SAVE rlatu1,yprimu1,rlatu2,yprimu2,yprimv,yprimu |
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SAVE rlonm025,xprimm025,rlonp025,xprimp025 |
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REAL SSUM |
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c |
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c |
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c ------------------------------------------------------------------ |
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c - - |
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c calcul des coeff. ( cu_2d, cv_2d , 1./cu_2d**2, 1./cv_2d**2 ) |
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c - - |
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c ------------------------------------------------------------------ |
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c |
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c les coef. ( cu_2d, cv_2d ) permettent de passer des vitesses naturelles |
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c aux vitesses covariantes et contravariantes , ou vice-versa ... |
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c |
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c |
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c on a : u (covariant) = cu_2d * u (naturel) , u(contrav)= u(nat)/cu_2d |
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c v (covariant) = cv_2d * v (naturel) , v(contrav)= v(nat)/cv_2d |
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c |
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c on en tire : u(covariant) = cu_2d * cu_2d * u(contravariant) |
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c v(covariant) = cv_2d * cv_2d * v(contravariant) |
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c |
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c |
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c on a l'application ( x(X) , y(Y) ) avec - im/2 +1 < X < im/2 |
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c = = |
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c et - jm/2 < Y < jm/2 |
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c = = |
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c |
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c ................................................... |
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c ................................................... |
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c . x est la longitude du point en radians . |
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c . y est la latitude du point en radians . |
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c . . |
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c . on a : cu_2d(i,j) = rad * COS(y) * dx/dX . |
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c . cv( j ) = rad * dy/dY . |
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c . aire_2d(i,j) = cu_2d(i,j) * cv(j) . |
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c . . |
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c . y, dx/dX, dy/dY calcules aux points concernes . |
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c . . |
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c ................................................... |
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c ................................................... |
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c |
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c |
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c |
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c , |
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c cv , bien que dependant de j uniquement,sera ici indice aussi en i |
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c pour un adressage plus facile en ij . |
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c |
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c |
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c |
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c ************** aux points u et v , ***************** |
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c xprimu et xprimv sont respectivement les valeurs de dx/dX |
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c yprimu et yprimv . . . . . . . . . . . dy/dY |
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c rlatu et rlatv . . . . . . . . . . .la latitude |
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c cvu et cv_2d . . . . . . . . . . . cv_2d |
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c |
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c ************** aux points u, v, scalaires, et z **************** |
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c cu_2d, cuv, cuscal, cuz sont respectiv. les valeurs de cu_2d |
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c |
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c |
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c |
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c Exemple de distribution de variables sur la grille dans le |
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c domaine de travail ( X,Y ) . |
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c ................................................................ |
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c DX=DY= 1 |
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c |
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c |
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c + represente un point scalaire ( p.exp la pression ) |
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c > represente la composante zonale du vent |
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c V represente la composante meridienne du vent |
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c o represente la vorticite |
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c |
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c ---- , car aux poles , les comp.zonales covariantes sont nulles |
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c |
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c |
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c |
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c i -> |
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c |
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c 1 2 3 4 5 6 7 8 |
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c j |
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c v 1 + ---- + ---- + ---- + ---- + ---- + ---- + ---- + -- |
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c |
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c V o V o V o V o V o V o V o V o |
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c |
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c 2 + > + > + > + > + > + > + > + > |
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c |
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c V o V o V o V o V o V o V o V o |
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c |
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c 3 + > + > + > + > + > + > + > + > |
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c |
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c V o V o V o V o V o V o V o V o |
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c |
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c 4 + > + > + > + > + > + > + > + > |
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c |
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c V o V o V o V o V o V o V o V o |
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c |
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c 5 + ---- + ---- + ---- + ---- + ---- + ---- + ---- + -- |
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c |
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c |
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c Ci-dessus, on voit que le nombre de pts.en longitude est egal |
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c a IM = 8 |
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c De meme , le nombre d'intervalles entre les 2 poles est egal |
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c a JM = 4 |
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c |
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c Les points scalaires ( + ) correspondent donc a des valeurs |
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c entieres de i ( 1 a IM ) et de j ( 1 a JM +1 ) . |
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c |
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c Les vents U ( > ) correspondent a des valeurs semi- |
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c entieres de i ( 1+ 0.5 a IM+ 0.5) et entieres de j ( 1 a JM+1) |
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c |
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c Les vents V ( V ) correspondent a des valeurs entieres |
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c de i ( 1 a IM ) et semi-entieres de j ( 1 +0.5 a JM +0.5) |
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c |
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c |
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c |
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print *, "Call sequence information: inigeom" |
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print 3 |
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3 FORMAT('Calcul des elongations cu_2d et cv_2d comme sommes ', |
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$ 'des 4 ' |
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* / 5x, |
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$ ' elong. cuij1, .. 4 , cvij1,.. 4 qui les entourent , aux ' |
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* / 5x,' memes endroits que les aires aireij1_2d,...j4 . ' / ) |
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c |
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c |
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IF( nitergdiv.NE.2 ) THEN |
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gamdi_gdiv = coefdis/ ( float(nitergdiv) -2. ) |
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ELSE |
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gamdi_gdiv = 0. |
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ENDIF |
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IF( nitergrot.NE.2 ) THEN |
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gamdi_grot = coefdis/ ( float(nitergrot) -2. ) |
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ELSE |
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gamdi_grot = 0. |
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ENDIF |
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IF( niterh.NE.2 ) THEN |
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gamdi_h = coefdis/ ( float(niterh) -2. ) |
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ELSE |
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gamdi_h = 0. |
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ENDIF |
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WRITE(6,*) ' gamdi_gd ',gamdi_gdiv,gamdi_grot,gamdi_h,coefdis, |
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* nitergdiv,nitergrot,niterh |
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c |
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pi = 2.* ASIN(1.) |
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c |
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WRITE(6,990) |
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c ---------------------------------------------------------------- |
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c |
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IF( .NOT.fxyhypb ) THEN |
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c |
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c |
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IF( ysinus ) THEN |
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c |
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WRITE(6,*) ' *** Inigeom , Y = Sinus ( Latitude ) *** ' |
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c |
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c .... utilisation de f(x,y ) avec y = sinus de la latitude ... |
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CALL fxysinus (rlatu,yprimu,rlatv,yprimv,rlatu1,yprimu1, |
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, rlatu2,yprimu2, |
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, rlonu,xprimu,rlonv,xprimv,rlonm025,xprimm025,rlonp025 |
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$ ,xprimp025) |
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ELSE |
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c |
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WRITE(6,*) '*** Inigeom , Y = Latitude , der. sinusoid . ***' |
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c utilisation de f(x,y) a tangente sinusoidale , y etant la latit. .. |
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c |
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pxo = clon *pi /180. |
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pyo = 2.* clat* pi /180. |
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c |
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c .... determination de transx ( pour le zoom ) par Newton-Raphson . |
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c |
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itmax = 10 |
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eps = .1e-7 |
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c |
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xo1 = 0. |
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DO 10 iter = 1, itmax |
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x1 = xo1 |
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f = x1+ alphax *SIN(x1-pxo) |
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df = 1.+ alphax *COS(x1-pxo) |
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x1 = x1 - f/df |
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xdm = ABS( x1- xo1 ) |
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IF( xdm.LE.eps )GO TO 11 |
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xo1 = x1 |
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10 CONTINUE |
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11 CONTINUE |
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c |
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transx = xo1 |
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itmay = 10 |
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eps = .1e-7 |
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C |
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yo1 = 0. |
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DO 15 iter = 1,itmay |
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y1 = yo1 |
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f = y1 + alphay* SIN(y1-pyo) |
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df = 1. + alphay* COS(y1-pyo) |
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y1 = y1 -f/df |
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ydm = ABS(y1-yo1) |
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IF(ydm.LE.eps) GO TO 17 |
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yo1 = y1 |
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15 CONTINUE |
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c |
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17 CONTINUE |
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transy = yo1 |
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CALL fxy ( rlatu,yprimu,rlatv,yprimv,rlatu1,yprimu1, |
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, rlatu2,yprimu2, |
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, rlonu,xprimu,rlonv,xprimv,rlonm025,xprimm025,rlonp025 |
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$ ,xprimp025) |
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ENDIF |
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c |
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ELSE |
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c |
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c .... Utilisation de fxyhyper , f(x,y) a derivee tangente hyperbol. |
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c .................................................................. |
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WRITE(6,*) |
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$ '*** Inigeom , Y = Latitude , der.tg. hyperbolique ***' |
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CALL fxyhyper( clat, grossismy, dzoomy, tauy , |
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, clon, grossismx, dzoomx, taux , |
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, rlatu,yprimu,rlatv, yprimv,rlatu1, yprimu1,rlatu2,yprimu2 , |
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, rlonu,xprimu,rlonv,xprimv,rlonm025,xprimm025,rlonp025 |
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$ ,xprimp025 ) |
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ENDIF |
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c |
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c ------------------------------------------------------------------- |
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c |
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rlatu(1) = ASIN(1.) |
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rlatu(jjp1) = - rlatu(1) |
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c |
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c |
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c .... calcul aux poles .... |
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c |
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yprimu(1) = 0. |
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yprimu(jjp1) = 0. |
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c |
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c |
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un4rad2 = 0.25 * rad * rad |
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c |
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c ------------------------------------------------------------- |
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c ------------------------------------------------------------- |
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c - |
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c calcul des aires ( aire_2d,aireu_2d,airev_2d, 1./aire_2d, 1./airez ) |
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c - et de fext_2d , force de coriolis extensive . |
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c - |
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c ------------------------------------------------------------- |
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c ------------------------------------------------------------- |
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c |
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c |
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c |
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c A 1 point scalaire P (i,j) de la grille, reguliere en (X,Y) , sont |
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c affectees 4 aires entourant P , calculees respectivement aux points |
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c ( i + 1/4, j - 1/4 ) : aireij1_2d (i,j) |
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c ( i + 1/4, j + 1/4 ) : aireij2_2d (i,j) |
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c ( i - 1/4, j + 1/4 ) : aireij3_2d (i,j) |
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c ( i - 1/4, j - 1/4 ) : aireij4_2d (i,j) |
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c |
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c , |
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c Les cotes de chacun de ces 4 carres etant egaux a 1/2 suivant (X,Y). |
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c Chaque aire centree en 1 point scalaire P(i,j) est egale a la somme |
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c des 4 aires aireij1_2d,aireij2_2d,aireij3_2d,aireij4_2d qui sont affectees au |
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c point (i,j) . |
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c On definit en outre les coefficients alpha comme etant egaux a |
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c (aireij / aire_2d), c.a.d par exp. alpha1_2d(i,j)=aireij1_2d(i,j)/aire_2d(i,j) |
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c |
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c De meme, toute aire centree en 1 point U est egale a la somme des |
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c 4 aires aireij1_2d,aireij2_2d,aireij3_2d,aireij4_2d entourant le point U . |
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c Idem pour airev_2d, airez . |
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c |
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c On a ,pour chaque maille : dX = dY = 1 |
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c |
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c |
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c . V |
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c |
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c aireij4_2d . . aireij1_2d |
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c |
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c U . . P . U |
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c |
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c aireij3_2d . . aireij2_2d |
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c |
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c . V |
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c |
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c |
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c |
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c |
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c |
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c .................................................................... |
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c |
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c Calcul des 4 aires elementaires aireij1_2d,aireij2_2d,aireij3_2d,aireij4_2d |
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c qui entourent chaque aire_2d(i,j) , ainsi que les 4 elongations elemen |
| 344 |
|
|
c taires cuij et les 4 elongat. cvij qui sont calculees aux memes |
| 345 |
|
|
c endroits que les aireij . |
| 346 |
|
|
c |
| 347 |
|
|
c .................................................................... |
| 348 |
|
|
c |
| 349 |
|
|
c ....... do 35 : boucle sur les jjm + 1 latitudes ..... |
| 350 |
|
|
c |
| 351 |
|
|
c |
| 352 |
|
|
DO 35 j = 1, jjp1 |
| 353 |
|
|
c |
| 354 |
|
|
IF ( j. eq. 1 ) THEN |
| 355 |
|
|
c |
| 356 |
|
|
yprm = yprimu1(j) |
| 357 |
|
|
rlatm = rlatu1(j) |
| 358 |
|
|
c |
| 359 |
|
|
coslatm = COS( rlatm ) |
| 360 |
|
|
radclatm = 0.5* rad * coslatm |
| 361 |
|
|
c |
| 362 |
|
|
DO 30 i = 1, iim |
| 363 |
|
|
xprp = xprimp025( i ) |
| 364 |
|
|
xprm = xprimm025( i ) |
| 365 |
|
|
aireij2_2d( i,1 ) = un4rad2 * coslatm * xprp * yprm |
| 366 |
|
|
aireij3_2d( i,1 ) = un4rad2 * coslatm * xprm * yprm |
| 367 |
|
|
cuij2 ( i,1 ) = radclatm * xprp |
| 368 |
|
|
cuij3 ( i,1 ) = radclatm * xprm |
| 369 |
|
|
cvij2 ( i,1 ) = 0.5* rad * yprm |
| 370 |
|
|
cvij3 ( i,1 ) = cvij2(i,1) |
| 371 |
|
|
30 CONTINUE |
| 372 |
|
|
c |
| 373 |
|
|
DO i = 1, iim |
| 374 |
|
|
aireij1_2d( i,1 ) = 0. |
| 375 |
|
|
aireij4_2d( i,1 ) = 0. |
| 376 |
|
|
cuij1 ( i,1 ) = 0. |
| 377 |
|
|
cuij4 ( i,1 ) = 0. |
| 378 |
|
|
cvij1 ( i,1 ) = 0. |
| 379 |
|
|
cvij4 ( i,1 ) = 0. |
| 380 |
|
|
ENDDO |
| 381 |
|
|
c |
| 382 |
|
|
END IF |
| 383 |
|
|
c |
| 384 |
|
|
IF ( j. eq. jjp1 ) THEN |
| 385 |
|
|
yprp = yprimu2(j-1) |
| 386 |
|
|
rlatp = rlatu2 (j-1) |
| 387 |
|
|
ccc yprp = fyprim( FLOAT(j) - 0.25 ) |
| 388 |
|
|
ccc rlatp = fy ( FLOAT(j) - 0.25 ) |
| 389 |
|
|
c |
| 390 |
|
|
coslatp = COS( rlatp ) |
| 391 |
|
|
radclatp = 0.5* rad * coslatp |
| 392 |
|
|
c |
| 393 |
|
|
DO 31 i = 1,iim |
| 394 |
|
|
xprp = xprimp025( i ) |
| 395 |
|
|
xprm = xprimm025( i ) |
| 396 |
|
|
aireij1_2d( i,jjp1 ) = un4rad2 * coslatp * xprp * yprp |
| 397 |
|
|
aireij4_2d( i,jjp1 ) = un4rad2 * coslatp * xprm * yprp |
| 398 |
|
|
cuij1(i,jjp1) = radclatp * xprp |
| 399 |
|
|
cuij4(i,jjp1) = radclatp * xprm |
| 400 |
|
|
cvij1(i,jjp1) = 0.5 * rad* yprp |
| 401 |
|
|
cvij4(i,jjp1) = cvij1(i,jjp1) |
| 402 |
|
|
31 CONTINUE |
| 403 |
|
|
c |
| 404 |
|
|
DO i = 1, iim |
| 405 |
|
|
aireij2_2d( i,jjp1 ) = 0. |
| 406 |
|
|
aireij3_2d( i,jjp1 ) = 0. |
| 407 |
|
|
cvij2 ( i,jjp1 ) = 0. |
| 408 |
|
|
cvij3 ( i,jjp1 ) = 0. |
| 409 |
|
|
cuij2 ( i,jjp1 ) = 0. |
| 410 |
|
|
cuij3 ( i,jjp1 ) = 0. |
| 411 |
|
|
ENDDO |
| 412 |
|
|
c |
| 413 |
|
|
END IF |
| 414 |
|
|
c |
| 415 |
|
|
|
| 416 |
|
|
IF ( j .gt. 1 .AND. j .lt. jjp1 ) THEN |
| 417 |
|
|
c |
| 418 |
|
|
rlatp = rlatu2 ( j-1 ) |
| 419 |
|
|
yprp = yprimu2( j-1 ) |
| 420 |
|
|
rlatm = rlatu1 ( j ) |
| 421 |
|
|
yprm = yprimu1( j ) |
| 422 |
|
|
cc rlatp = fy ( FLOAT(j) - 0.25 ) |
| 423 |
|
|
cc yprp = fyprim( FLOAT(j) - 0.25 ) |
| 424 |
|
|
cc rlatm = fy ( FLOAT(j) + 0.25 ) |
| 425 |
|
|
cc yprm = fyprim( FLOAT(j) + 0.25 ) |
| 426 |
|
|
|
| 427 |
|
|
coslatm = COS( rlatm ) |
| 428 |
|
|
coslatp = COS( rlatp ) |
| 429 |
|
|
radclatp = 0.5* rad * coslatp |
| 430 |
|
|
radclatm = 0.5* rad * coslatm |
| 431 |
|
|
c |
| 432 |
|
|
DO 32 i = 1,iim |
| 433 |
|
|
xprp = xprimp025( i ) |
| 434 |
|
|
xprm = xprimm025( i ) |
| 435 |
|
|
|
| 436 |
|
|
ai14 = un4rad2 * coslatp * yprp |
| 437 |
|
|
ai23 = un4rad2 * coslatm * yprm |
| 438 |
|
|
aireij1_2d ( i,j ) = ai14 * xprp |
| 439 |
|
|
aireij2_2d ( i,j ) = ai23 * xprp |
| 440 |
|
|
aireij3_2d ( i,j ) = ai23 * xprm |
| 441 |
|
|
aireij4_2d ( i,j ) = ai14 * xprm |
| 442 |
|
|
cuij1 ( i,j ) = radclatp * xprp |
| 443 |
|
|
cuij2 ( i,j ) = radclatm * xprp |
| 444 |
|
|
cuij3 ( i,j ) = radclatm * xprm |
| 445 |
|
|
cuij4 ( i,j ) = radclatp * xprm |
| 446 |
|
|
cvij1 ( i,j ) = 0.5* rad * yprp |
| 447 |
|
|
cvij2 ( i,j ) = 0.5* rad * yprm |
| 448 |
|
|
cvij3 ( i,j ) = cvij2(i,j) |
| 449 |
|
|
cvij4 ( i,j ) = cvij1(i,j) |
| 450 |
|
|
32 CONTINUE |
| 451 |
|
|
c |
| 452 |
|
|
END IF |
| 453 |
|
|
c |
| 454 |
|
|
c ........ periodicite ............ |
| 455 |
|
|
c |
| 456 |
|
|
cvij1 (iip1,j) = cvij1 (1,j) |
| 457 |
|
|
cvij2 (iip1,j) = cvij2 (1,j) |
| 458 |
|
|
cvij3 (iip1,j) = cvij3 (1,j) |
| 459 |
|
|
cvij4 (iip1,j) = cvij4 (1,j) |
| 460 |
|
|
cuij1 (iip1,j) = cuij1 (1,j) |
| 461 |
|
|
cuij2 (iip1,j) = cuij2 (1,j) |
| 462 |
|
|
cuij3 (iip1,j) = cuij3 (1,j) |
| 463 |
|
|
cuij4 (iip1,j) = cuij4 (1,j) |
| 464 |
|
|
aireij1_2d (iip1,j) = aireij1_2d (1,j ) |
| 465 |
|
|
aireij2_2d (iip1,j) = aireij2_2d (1,j ) |
| 466 |
|
|
aireij3_2d (iip1,j) = aireij3_2d (1,j ) |
| 467 |
|
|
aireij4_2d (iip1,j) = aireij4_2d (1,j ) |
| 468 |
|
|
|
| 469 |
|
|
35 CONTINUE |
| 470 |
|
|
c |
| 471 |
|
|
c .............................................................. |
| 472 |
|
|
c |
| 473 |
|
|
DO 37 j = 1, jjp1 |
| 474 |
|
|
DO 36 i = 1, iim |
| 475 |
|
|
aire_2d ( i,j ) = aireij1_2d(i,j) + aireij2_2d(i,j) |
| 476 |
|
|
* + aireij3_2d(i,j) + aireij4_2d(i,j) |
| 477 |
|
|
alpha1_2d ( i,j ) = aireij1_2d(i,j) / aire_2d(i,j) |
| 478 |
|
|
alpha2_2d ( i,j ) = aireij2_2d(i,j) / aire_2d(i,j) |
| 479 |
|
|
alpha3_2d ( i,j ) = aireij3_2d(i,j) / aire_2d(i,j) |
| 480 |
|
|
alpha4_2d ( i,j ) = aireij4_2d(i,j) / aire_2d(i,j) |
| 481 |
|
|
alpha1p2_2d( i,j ) = alpha1_2d (i,j) + alpha2_2d (i,j) |
| 482 |
|
|
alpha1p4_2d( i,j ) = alpha1_2d (i,j) + alpha4_2d (i,j) |
| 483 |
|
|
alpha2p3_2d( i,j ) = alpha2_2d (i,j) + alpha3_2d (i,j) |
| 484 |
|
|
alpha3p4_2d( i,j ) = alpha3_2d (i,j) + alpha4_2d (i,j) |
| 485 |
|
|
36 CONTINUE |
| 486 |
|
|
c |
| 487 |
|
|
c |
| 488 |
|
|
aire_2d (iip1,j) = aire_2d (1,j) |
| 489 |
|
|
alpha1_2d (iip1,j) = alpha1_2d (1,j) |
| 490 |
|
|
alpha2_2d (iip1,j) = alpha2_2d (1,j) |
| 491 |
|
|
alpha3_2d (iip1,j) = alpha3_2d (1,j) |
| 492 |
|
|
alpha4_2d (iip1,j) = alpha4_2d (1,j) |
| 493 |
|
|
alpha1p2_2d(iip1,j) = alpha1p2_2d(1,j) |
| 494 |
|
|
alpha1p4_2d(iip1,j) = alpha1p4_2d(1,j) |
| 495 |
|
|
alpha2p3_2d(iip1,j) = alpha2p3_2d(1,j) |
| 496 |
|
|
alpha3p4_2d(iip1,j) = alpha3p4_2d(1,j) |
| 497 |
|
|
37 CONTINUE |
| 498 |
|
|
c |
| 499 |
|
|
|
| 500 |
|
|
DO 42 j = 1,jjp1 |
| 501 |
|
|
DO 41 i = 1,iim |
| 502 |
|
|
aireu_2d (i,j)= aireij1_2d(i,j) + aireij2_2d(i,j) |
| 503 |
|
|
* + aireij4_2d(i+1,j) +aireij3_2d(i+1,j) |
| 504 |
|
|
unsaire_2d ( i,j)= 1./ aire_2d(i,j) |
| 505 |
|
|
unsair_gam1_2d( i,j)= unsaire_2d(i,j)** ( - gamdi_gdiv ) |
| 506 |
|
|
unsair_gam2_2d( i,j)= unsaire_2d(i,j)** ( - gamdi_h ) |
| 507 |
|
|
airesurg_2d ( i,j)= aire_2d(i,j)/ g |
| 508 |
|
|
41 CONTINUE |
| 509 |
|
|
aireu_2d (iip1,j) = aireu_2d (1,j) |
| 510 |
|
|
unsaire_2d (iip1,j) = unsaire_2d(1,j) |
| 511 |
|
|
unsair_gam1_2d(iip1,j) = unsair_gam1_2d(1,j) |
| 512 |
|
|
unsair_gam2_2d(iip1,j) = unsair_gam2_2d(1,j) |
| 513 |
|
|
airesurg_2d (iip1,j) = airesurg_2d(1,j) |
| 514 |
|
|
42 CONTINUE |
| 515 |
|
|
c |
| 516 |
|
|
c |
| 517 |
|
|
DO 48 j = 1,jjm |
| 518 |
|
|
c |
| 519 |
|
|
DO i=1,iim |
| 520 |
|
|
airev_2d (i,j) = aireij2_2d(i,j)+ aireij3_2d(i,j) |
| 521 |
|
|
* + aireij1_2d(i,j+1) +aireij4_2d(i,j+1) |
| 522 |
|
|
ENDDO |
| 523 |
|
|
DO i=1,iim |
| 524 |
|
|
airez = aireij2_2d(i,j)+aireij1_2d(i,j+1) |
| 525 |
|
|
* +aireij3_2d(i+1,j) +aireij4_2d(i+1,j+1) |
| 526 |
|
|
unsairez_2d(i,j) = 1./ airez |
| 527 |
|
|
unsairz_gam_2d(i,j)= unsairez_2d(i,j)** ( - gamdi_grot ) |
| 528 |
|
|
fext_2d (i,j) = airez * SIN(rlatv(j))* 2.* omeg |
| 529 |
|
|
ENDDO |
| 530 |
|
|
airev_2d (iip1,j) = airev_2d(1,j) |
| 531 |
|
|
unsairez_2d (iip1,j) = unsairez_2d(1,j) |
| 532 |
|
|
fext_2d (iip1,j) = fext_2d(1,j) |
| 533 |
|
|
unsairz_gam_2d(iip1,j) = unsairz_gam_2d(1,j) |
| 534 |
|
|
c |
| 535 |
|
|
48 CONTINUE |
| 536 |
|
|
c |
| 537 |
|
|
c |
| 538 |
|
|
c ..... Calcul des elongations cu_2d,cv_2d, cvu ......... |
| 539 |
|
|
c |
| 540 |
|
|
DO j = 1, jjm |
| 541 |
|
|
DO i = 1, iim |
| 542 |
|
|
cv_2d(i,j) = 0.5 |
| 543 |
|
|
$ *( cvij2(i,j)+cvij3(i,j)+cvij1(i,j+1)+cvij4(i,j+1)) |
| 544 |
|
|
cvu(i,j)= 0.5 *( cvij1(i,j)+cvij4(i,j)+cvij2(i,j) +cvij3(i,j) ) |
| 545 |
|
|
cuv(i,j)= 0.5 |
| 546 |
|
|
$ *( cuij2(i,j)+cuij3(i,j)+cuij1(i,j+1)+cuij4(i,j+1)) |
| 547 |
|
|
unscv2_2d(i,j) = 1./ ( cv_2d(i,j)*cv_2d(i,j) ) |
| 548 |
|
|
ENDDO |
| 549 |
|
|
DO i = 1, iim |
| 550 |
|
|
cuvsurcv_2d (i,j) = airev_2d(i,j) * unscv2_2d(i,j) |
| 551 |
|
|
cvsurcuv_2d (i,j) = 1./cuvsurcv_2d(i,j) |
| 552 |
|
|
cuvscvgam1_2d(i,j) = cuvsurcv_2d (i,j) ** ( - gamdi_gdiv ) |
| 553 |
|
|
cuvscvgam2_2d(i,j) = cuvsurcv_2d (i,j) ** ( - gamdi_h ) |
| 554 |
|
|
cvscuvgam_2d(i,j) = cvsurcuv_2d (i,j) ** ( - gamdi_grot ) |
| 555 |
|
|
ENDDO |
| 556 |
|
|
cv_2d (iip1,j) = cv_2d (1,j) |
| 557 |
|
|
cvu (iip1,j) = cvu (1,j) |
| 558 |
|
|
unscv2_2d (iip1,j) = unscv2_2d (1,j) |
| 559 |
|
|
cuv (iip1,j) = cuv (1,j) |
| 560 |
|
|
cuvsurcv_2d (iip1,j) = cuvsurcv_2d (1,j) |
| 561 |
|
|
cvsurcuv_2d (iip1,j) = cvsurcuv_2d (1,j) |
| 562 |
|
|
cuvscvgam1_2d(iip1,j) = cuvscvgam1_2d(1,j) |
| 563 |
|
|
cuvscvgam2_2d(iip1,j) = cuvscvgam2_2d(1,j) |
| 564 |
|
|
cvscuvgam_2d(iip1,j) = cvscuvgam_2d(1,j) |
| 565 |
|
|
ENDDO |
| 566 |
|
|
|
| 567 |
|
|
DO j = 2, jjm |
| 568 |
|
|
DO i = 1, iim |
| 569 |
|
|
cu_2d(i,j) = 0.5 |
| 570 |
|
|
$ *(cuij1(i,j)+cuij4(i+1,j)+cuij2(i,j)+cuij3(i+1,j)) |
| 571 |
|
|
unscu2_2d (i,j) = 1./ ( cu_2d(i,j) * cu_2d(i,j) ) |
| 572 |
|
|
cvusurcu_2d (i,j) = aireu_2d(i,j) * unscu2_2d(i,j) |
| 573 |
|
|
cusurcvu_2d (i,j) = 1./ cvusurcu_2d(i,j) |
| 574 |
|
|
cvuscugam1_2d (i,j) = cvusurcu_2d(i,j) ** ( - gamdi_gdiv ) |
| 575 |
|
|
cvuscugam2_2d (i,j) = cvusurcu_2d(i,j) ** ( - gamdi_h ) |
| 576 |
|
|
cuscvugam_2d (i,j) = cusurcvu_2d(i,j) ** ( - gamdi_grot ) |
| 577 |
|
|
ENDDO |
| 578 |
|
|
cu_2d (iip1,j) = cu_2d(1,j) |
| 579 |
|
|
unscu2_2d (iip1,j) = unscu2_2d(1,j) |
| 580 |
|
|
cvusurcu_2d (iip1,j) = cvusurcu_2d(1,j) |
| 581 |
|
|
cusurcvu_2d (iip1,j) = cusurcvu_2d(1,j) |
| 582 |
|
|
cvuscugam1_2d(iip1,j) = cvuscugam1_2d(1,j) |
| 583 |
|
|
cvuscugam2_2d(iip1,j) = cvuscugam2_2d(1,j) |
| 584 |
|
|
cuscvugam_2d (iip1,j) = cuscvugam_2d(1,j) |
| 585 |
|
|
ENDDO |
| 586 |
|
|
|
| 587 |
|
|
c |
| 588 |
|
|
c .... calcul aux poles .... |
| 589 |
|
|
c |
| 590 |
|
|
DO i = 1, iip1 |
| 591 |
|
|
cu_2d ( i, 1 ) = 0. |
| 592 |
|
|
unscu2_2d( i, 1 ) = 0. |
| 593 |
|
|
cvu ( i, 1 ) = 0. |
| 594 |
|
|
c |
| 595 |
|
|
cu_2d (i, jjp1) = 0. |
| 596 |
|
|
unscu2_2d(i, jjp1) = 0. |
| 597 |
|
|
cvu (i, jjp1) = 0. |
| 598 |
|
|
ENDDO |
| 599 |
|
|
c |
| 600 |
|
|
c .............................................................. |
| 601 |
|
|
c |
| 602 |
|
|
DO j = 1, jjm |
| 603 |
|
|
DO i= 1, iim |
| 604 |
|
|
airvscu2_2d (i,j) = airev_2d(i,j)/ ( cuv(i,j) * cuv(i,j) ) |
| 605 |
|
|
aivscu2gam_2d(i,j) = airvscu2_2d(i,j)** ( - gamdi_grot ) |
| 606 |
|
|
ENDDO |
| 607 |
|
|
airvscu2_2d (iip1,j) = airvscu2_2d(1,j) |
| 608 |
|
|
aivscu2gam_2d(iip1,j) = aivscu2gam_2d(1,j) |
| 609 |
|
|
ENDDO |
| 610 |
|
|
|
| 611 |
|
|
DO j=2,jjm |
| 612 |
|
|
DO i=1,iim |
| 613 |
|
|
airuscv2_2d (i,j) = aireu_2d(i,j)/ ( cvu(i,j) * cvu(i,j) ) |
| 614 |
|
|
aiuscv2gam_2d (i,j) = airuscv2_2d(i,j)** ( - gamdi_grot ) |
| 615 |
|
|
ENDDO |
| 616 |
|
|
airuscv2_2d (iip1,j) = airuscv2_2d (1,j) |
| 617 |
|
|
aiuscv2gam_2d(iip1,j) = aiuscv2gam_2d(1,j) |
| 618 |
|
|
ENDDO |
| 619 |
|
|
|
| 620 |
|
|
c |
| 621 |
|
|
c calcul des aires aux poles : |
| 622 |
|
|
c ----------------------------- |
| 623 |
|
|
c |
| 624 |
|
|
apoln = SSUM(iim,aire_2d(1,1),1) |
| 625 |
|
|
apols = SSUM(iim,aire_2d(1,jjp1),1) |
| 626 |
|
|
unsapolnga1 = 1./ ( apoln ** ( - gamdi_gdiv ) ) |
| 627 |
|
|
unsapolsga1 = 1./ ( apols ** ( - gamdi_gdiv ) ) |
| 628 |
|
|
unsapolnga2 = 1./ ( apoln ** ( - gamdi_h ) ) |
| 629 |
|
|
unsapolsga2 = 1./ ( apols ** ( - gamdi_h ) ) |
| 630 |
|
|
c |
| 631 |
|
|
c---------------------------------------------------------------- |
| 632 |
|
|
c gtitre='Coriolis version ancienne' |
| 633 |
|
|
c gfichier='fext1' |
| 634 |
|
|
c CALL writestd(fext_2d,iip1*jjm) |
| 635 |
|
|
c |
| 636 |
|
|
c changement F. Hourdin calcul conservatif pour fext_2d |
| 637 |
|
|
c constang_2d contient le produit a * cos ( latitude ) * omega |
| 638 |
|
|
c |
| 639 |
|
|
DO i=1,iim |
| 640 |
|
|
constang_2d(i,1) = 0. |
| 641 |
|
|
ENDDO |
| 642 |
|
|
DO j=1,jjm-1 |
| 643 |
|
|
DO i=1,iim |
| 644 |
|
|
constang_2d(i,j+1) = rad*omeg*cu_2d(i,j+1)*COS(rlatu(j+1)) |
| 645 |
|
|
ENDDO |
| 646 |
|
|
ENDDO |
| 647 |
|
|
DO i=1,iim |
| 648 |
|
|
constang_2d(i,jjp1) = 0. |
| 649 |
|
|
ENDDO |
| 650 |
|
|
c |
| 651 |
|
|
c periodicite en longitude |
| 652 |
|
|
c |
| 653 |
|
|
DO j=1,jjm |
| 654 |
|
|
fext_2d(iip1,j) = fext_2d(1,j) |
| 655 |
|
|
ENDDO |
| 656 |
|
|
DO j=1,jjp1 |
| 657 |
|
|
constang_2d(iip1,j) = constang_2d(1,j) |
| 658 |
|
|
ENDDO |
| 659 |
|
|
|
| 660 |
|
|
c fin du changement |
| 661 |
|
|
|
| 662 |
|
|
c |
| 663 |
|
|
c---------------------------------------------------------------- |
| 664 |
|
|
c |
| 665 |
|
|
WRITE(6,*) ' *** Coordonnees de la grille *** ' |
| 666 |
|
|
WRITE(6,995) |
| 667 |
|
|
c |
| 668 |
|
|
WRITE(6,*) ' LONGITUDES aux pts. V ( degres ) ' |
| 669 |
|
|
WRITE(6,995) |
| 670 |
|
|
DO i=1,iip1 |
| 671 |
|
|
rlonvv(i) = rlonv(i)*180./pi |
| 672 |
|
|
ENDDO |
| 673 |
|
|
WRITE(6,400) rlonvv |
| 674 |
|
|
c |
| 675 |
|
|
WRITE(6,995) |
| 676 |
|
|
WRITE(6,*) ' LATITUDES aux pts. V ( degres ) ' |
| 677 |
|
|
WRITE(6,995) |
| 678 |
|
|
DO i=1,jjm |
| 679 |
|
|
rlatuu(i)=rlatv(i)*180./pi |
| 680 |
|
|
ENDDO |
| 681 |
|
|
WRITE(6,400) (rlatuu(i),i=1,jjm) |
| 682 |
|
|
c |
| 683 |
|
|
DO i=1,iip1 |
| 684 |
|
|
rlonvv(i)=rlonu(i)*180./pi |
| 685 |
|
|
ENDDO |
| 686 |
|
|
WRITE(6,995) |
| 687 |
|
|
WRITE(6,*) ' LONGITUDES aux pts. U ( degres ) ' |
| 688 |
|
|
WRITE(6,995) |
| 689 |
|
|
WRITE(6,400) rlonvv |
| 690 |
|
|
WRITE(6,995) |
| 691 |
|
|
|
| 692 |
|
|
WRITE(6,*) ' LATITUDES aux pts. U ( degres ) ' |
| 693 |
|
|
WRITE(6,995) |
| 694 |
|
|
DO i=1,jjp1 |
| 695 |
|
|
rlatuu(i)=rlatu(i)*180./pi |
| 696 |
|
|
ENDDO |
| 697 |
|
|
WRITE(6,400) (rlatuu(i),i=1,jjp1) |
| 698 |
|
|
WRITE(6,995) |
| 699 |
|
|
c |
| 700 |
|
|
444 format(f10.3,f6.0) |
| 701 |
|
|
400 FORMAT(1x,8f8.2) |
| 702 |
|
|
990 FORMAT(//) |
| 703 |
|
|
995 FORMAT(/) |
| 704 |
|
|
c |
| 705 |
|
|
RETURN |
| 706 |
|
|
END |
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