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SUBROUTINE inigeom |
module inigeom_m |
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c |
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c Auteur : P. Le Van |
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c |
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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 2 + > + > + > + > + > + > + > + > |
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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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| 2 |
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IMPLICIT NONE |
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| 5 |
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contains |
| 6 |
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| 7 |
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SUBROUTINE inigeom |
| 8 |
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| 9 |
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! Auteur : P. Le Van |
| 10 |
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! Version du 01/04/2001 |
| 11 |
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| 12 |
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! Calcul des élongations cuij1, ..., cuij4, cvij1, ..., cvij4 aux mêmes |
| 13 |
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! endroits que les aires aireij1_2d, ..., aireij4_2d. |
| 14 |
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| 15 |
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! Choix entre une fonction "f(y)" à dérivée sinusoïdale ou à dérivée |
| 16 |
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! tangente hyperbolique |
| 17 |
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! calcul des coefficients (cu_2d, cv_2d, 1./cu_2d**2, 1./cv_2d**2) |
| 18 |
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|
| 19 |
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! les coef. ( cu_2d, cv_2d ) permettent de passer des vitesses naturelles |
| 20 |
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! aux vitesses covariantes et contravariantes , ou vice-versa ... |
| 21 |
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|
| 22 |
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! on a : u (covariant) = cu_2d * u (naturel) , u(contrav)= u(nat)/cu_2d |
| 23 |
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! v (covariant) = cv_2d * v (naturel) , v(contrav)= v(nat)/cv_2d |
| 24 |
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| 25 |
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! on en tire : u(covariant) = cu_2d * cu_2d * u(contravariant) |
| 26 |
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! v(covariant) = cv_2d * cv_2d * v(contravariant) |
| 27 |
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| 28 |
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! on a l'application ( x(X) , y(Y) ) avec - im/2 +1 < X < im/2 |
| 29 |
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! = = |
| 30 |
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! et - jm/2 < Y < jm/2 |
| 31 |
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! = = |
| 32 |
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| 33 |
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! . x est la longitude du point en radians . |
| 34 |
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! . y est la latitude du point en radians . |
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! . . |
| 36 |
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! . on a : cu_2d(i, j) = rad * COS(y) * dx/dX . |
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! . cv( j ) = rad * dy/dY . |
| 38 |
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! . aire_2d(i, j) = cu_2d(i, j) * cv(j) . |
| 39 |
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! . . |
| 40 |
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! . y, dx/dX, dy/dY calcules aux points concernes . |
| 41 |
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! , |
| 42 |
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! cv , bien que dependant de j uniquement, sera ici indice aussi en i |
| 43 |
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! pour un adressage plus facile en ij . |
| 44 |
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| 45 |
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! ************** aux points u et v , ***************** |
| 46 |
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! xprimu et xprimv sont respectivement les valeurs de dx/dX |
| 47 |
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! yprimu et yprimv . . . . . . . . . . . dy/dY |
| 48 |
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! rlatu et rlatv . . . . . . . . . . .la latitude |
| 49 |
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! cvu et cv_2d . . . . . . . . . . . cv_2d |
| 50 |
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| 51 |
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! ************** aux points u, v, scalaires, et z **************** |
| 52 |
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! cu_2d, cuv, cuscal, cuz sont respectiv. les valeurs de cu_2d |
| 53 |
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| 54 |
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! Exemple de distribution de variables sur la grille dans le |
| 55 |
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! domaine de travail ( X, Y ) . |
| 56 |
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! DX=DY= 1 |
| 57 |
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|
| 58 |
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! + represente un point scalaire ( p.exp la pression ) |
| 59 |
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! > represente la composante zonale du vent |
| 60 |
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! V represente la composante meridienne du vent |
| 61 |
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! o represente la vorticite |
| 62 |
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! ---- , car aux poles , les comp.zonales covariantes sont nulles |
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! i -> |
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! 1 2 3 4 5 6 7 8 |
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! j |
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! v 1 + ---- + ---- + ---- + ---- + ---- + ---- + ---- + -- |
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! V o V o V o V o V o V o V o V o |
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! 2 + > + > + > + > + > + > + > + > |
| 74 |
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! V o V o V o V o V o V o V o V o |
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| 77 |
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! 3 + > + > + > + > + > + > + > + > |
| 78 |
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| 79 |
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! V o V o V o V o V o V o V o V o |
| 80 |
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| 81 |
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! 4 + > + > + > + > + > + > + > + > |
| 82 |
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| 83 |
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! V o V o V o V o V o V o V o V o |
| 84 |
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| 85 |
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! 5 + ---- + ---- + ---- + ---- + ---- + ---- + ---- + -- |
| 86 |
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| 87 |
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! Ci-dessus, on voit que le nombre de pts.en longitude est egal |
| 88 |
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! a IM = 8 |
| 89 |
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! De meme , le nombre d'intervalles entre les 2 poles est egal |
| 90 |
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! a JM = 4 |
| 91 |
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| 92 |
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! Les points scalaires ( + ) correspondent donc a des valeurs |
| 93 |
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! entieres de i ( 1 a IM ) et de j ( 1 a JM +1 ) . |
| 94 |
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| 95 |
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! Les vents U ( > ) correspondent a des valeurs semi- |
| 96 |
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! entieres de i ( 1+ 0.5 a IM+ 0.5) et entieres de j ( 1 a JM+1) |
| 97 |
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| 98 |
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! Les vents V ( V ) correspondent a des valeurs entieres |
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! de i ( 1 a IM ) et semi-entieres de j ( 1 +0.5 a JM +0.5) |
| 100 |
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| 101 |
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USE dimens_m, ONLY : iim, jjm |
| 102 |
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USE paramet_m, ONLY : iip1, jjp1 |
| 103 |
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USE comconst, ONLY : g, omeg, pi, rad |
| 104 |
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USE comdissnew, ONLY : coefdis, nitergdiv, nitergrot, niterh |
| 105 |
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USE logic, ONLY : fxyhypb, ysinus |
| 106 |
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USE comgeom, ONLY : airesurg_2d, aireu_2d, airev_2d, aire_2d, & |
| 107 |
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alpha1p2_2d, alpha1p4_2d, alpha1_2d, & |
| 108 |
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alpha2p3_2d, alpha2_2d, alpha3p4_2d, alpha3_2d, alpha4_2d, apoln, & |
| 109 |
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apols, constang_2d, cuscvugam_2d, cusurcvu_2d, cuvscvgam1_2d, & |
| 110 |
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cuvscvgam2_2d, cuvsurcv_2d, cu_2d, cvscuvgam_2d, cvsurcuv_2d, & |
| 111 |
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cvuscugam1_2d, cvuscugam2_2d, cvusurcu_2d, cv_2d, fext_2d, rlatu, & |
| 112 |
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rlatv, rlonu, rlonv, unsairez_2d, unsaire_2d, unsairz_gam_2d, & |
| 113 |
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unsair_gam1_2d, unsair_gam2_2d, unsapolnga1, unsapolnga2, & |
| 114 |
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unsapolsga1, unsapolsga2, unscu2_2d, unscv2_2d, xprimu, xprimv |
| 115 |
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USE serre, ONLY : alphax, alphay, clat, clon, dzoomx, dzoomy, grossismx, & |
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grossismy, pxo, pyo, taux, tauy, transx, transy |
| 117 |
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! Variables locales |
| 119 |
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| 120 |
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INTEGER i, j, itmax, itmay, iter |
| 121 |
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REAL cvu(iip1, jjp1), cuv(iip1, jjm) |
| 122 |
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REAL ai14, ai23, airez, rlatp, rlatm, xprm, xprp, un4rad2, yprp, yprm |
| 123 |
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REAL eps, x1, xo1, f, df, xdm, y1, yo1, ydm |
| 124 |
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REAL coslatm, coslatp, radclatm, radclatp |
| 125 |
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REAL cuij1(iip1, jjp1), cuij2(iip1, jjp1), cuij3(iip1, jjp1), & |
| 126 |
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cuij4(iip1, jjp1) |
| 127 |
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REAL cvij1(iip1, jjp1), cvij2(iip1, jjp1), cvij3(iip1, jjp1), & |
| 128 |
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cvij4(iip1, jjp1) |
| 129 |
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REAL rlonvv(iip1), rlatuu(jjp1) |
| 130 |
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REAL rlatu1(jjm), yprimu1(jjm), rlatu2(jjm), yprimu2(jjm), yprimv(jjm), & |
| 131 |
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yprimu(jjp1) |
| 132 |
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REAL gamdi_gdiv, gamdi_grot, gamdi_h |
| 133 |
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| 134 |
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REAL rlonm025(iip1), xprimm025(iip1), rlonp025(iip1), xprimp025(iip1) |
| 135 |
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SAVE rlatu1, yprimu1, rlatu2, yprimu2, yprimv, yprimu |
| 136 |
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SAVE rlonm025, xprimm025, rlonp025, xprimp025 |
| 137 |
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| 138 |
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real aireij1_2d(iim + 1, jjm + 1) |
| 139 |
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real aireij2_2d(iim + 1, jjm + 1) |
| 140 |
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real aireij3_2d(iim + 1, jjm + 1), aireij4_2d(iim + 1, jjm + 1) |
| 141 |
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real airuscv2_2d(iim + 1, jjm) |
| 142 |
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real airvscu2_2d(iim + 1, jjm), aiuscv2gam_2d(iim + 1, jjm) |
| 143 |
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real aivscu2gam_2d(iim + 1, jjm) |
| 144 |
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| 145 |
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!------------------------------------------------------------------ |
| 146 |
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| 147 |
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PRINT *, 'Call sequence information: inigeom' |
| 148 |
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| 149 |
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IF (nitergdiv/=2) THEN |
| 150 |
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gamdi_gdiv = coefdis/(real(nitergdiv)-2.) |
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ELSE |
| 152 |
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gamdi_gdiv = 0. |
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END IF |
| 154 |
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IF (nitergrot/=2) THEN |
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gamdi_grot = coefdis/(real(nitergrot)-2.) |
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ELSE |
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gamdi_grot = 0. |
| 158 |
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END IF |
| 159 |
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IF (niterh/=2) THEN |
| 160 |
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gamdi_h = coefdis/(real(niterh)-2.) |
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ELSE |
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gamdi_h = 0. |
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END IF |
| 164 |
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| 165 |
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print *, 'gamdi_gdiv = ', gamdi_gdiv |
| 166 |
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print *, "gamdi_grot = ", gamdi_grot |
| 167 |
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print *, "gamdi_h = ", gamdi_h |
| 168 |
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| 169 |
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WRITE (6, 990) |
| 170 |
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| 171 |
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IF ( .NOT. fxyhypb) THEN |
| 172 |
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IF (ysinus) THEN |
| 173 |
|
print *, ' *** Inigeom , Y = Sinus ( Latitude ) *** ' |
| 174 |
|
|
| 175 |
|
! utilisation de f(x, y ) avec y = sinus de la latitude ... |
| 176 |
|
|
| 177 |
|
CALL fxysinus(rlatu, yprimu, rlatv, yprimv, rlatu1, yprimu1, & |
| 178 |
|
rlatu2, yprimu2, rlonu, xprimu, rlonv, xprimv, rlonm025, & |
| 179 |
|
xprimm025, rlonp025, xprimp025) |
| 180 |
ELSE |
ELSE |
| 181 |
c |
print *, '*** Inigeom , Y = Latitude , der. sinusoid . ***' |
| 182 |
WRITE(6,*) '*** Inigeom , Y = Latitude , der. sinusoid . ***' |
! utilisation de f(x, y) a tangente sinusoidale , y etant la latit |
| 183 |
|
|
| 184 |
|
pxo = clon*pi/180. |
| 185 |
|
pyo = 2.*clat*pi/180. |
| 186 |
|
|
| 187 |
|
! determination de transx ( pour le zoom ) par Newton-Raphson . |
| 188 |
|
|
| 189 |
|
itmax = 10 |
| 190 |
|
eps = .1E-7 |
| 191 |
|
|
| 192 |
|
xo1 = 0. |
| 193 |
|
DO iter = 1, itmax |
| 194 |
|
x1 = xo1 |
| 195 |
|
f = x1 + alphax*sin(x1-pxo) |
| 196 |
|
df = 1. + alphax*cos(x1-pxo) |
| 197 |
|
x1 = x1 - f/df |
| 198 |
|
xdm = abs(x1-xo1) |
| 199 |
|
IF (xdm<=eps) EXIT |
| 200 |
|
xo1 = x1 |
| 201 |
|
END DO |
| 202 |
|
|
| 203 |
|
transx = xo1 |
| 204 |
|
|
| 205 |
|
itmay = 10 |
| 206 |
|
eps = .1E-7 |
| 207 |
|
|
| 208 |
|
yo1 = 0. |
| 209 |
|
DO iter = 1, itmay |
| 210 |
|
y1 = yo1 |
| 211 |
|
f = y1 + alphay*sin(y1-pyo) |
| 212 |
|
df = 1. + alphay*cos(y1-pyo) |
| 213 |
|
y1 = y1 - f/df |
| 214 |
|
ydm = abs(y1-yo1) |
| 215 |
|
IF (ydm<=eps) EXIT |
| 216 |
|
yo1 = y1 |
| 217 |
|
END DO |
| 218 |
|
|
| 219 |
|
transy = yo1 |
| 220 |
|
|
| 221 |
|
CALL fxy(rlatu, yprimu, rlatv, yprimv, rlatu1, yprimu1, rlatu2, & |
| 222 |
|
yprimu2, rlonu, xprimu, rlonv, xprimv, rlonm025, xprimm025, & |
| 223 |
|
rlonp025, xprimp025) |
| 224 |
|
END IF |
| 225 |
|
ELSE |
| 226 |
|
! .... Utilisation de fxyhyper , f(x, y) a derivee tangente hyperbol. |
| 227 |
|
print *, '*** Inigeom , Y = Latitude , der.tg. hyperbolique ***' |
| 228 |
|
CALL fxyhyper(clat, grossismy, dzoomy, tauy, clon, grossismx, dzoomx, & |
| 229 |
|
taux, rlatu, yprimu, rlatv, yprimv, rlatu1, yprimu1, rlatu2, & |
| 230 |
|
yprimu2, rlonu, xprimu, rlonv, xprimv, rlonm025, xprimm025, & |
| 231 |
|
rlonp025, xprimp025) |
| 232 |
|
END IF |
| 233 |
|
|
| 234 |
|
rlatu(1) = asin(1.) |
| 235 |
|
rlatu(jjp1) = -rlatu(1) |
| 236 |
|
|
| 237 |
|
! .... calcul aux poles .... |
| 238 |
|
|
| 239 |
|
yprimu(1) = 0. |
| 240 |
|
yprimu(jjp1) = 0. |
| 241 |
|
|
| 242 |
|
un4rad2 = 0.25*rad*rad |
| 243 |
|
|
| 244 |
|
! calcul des aires ( aire_2d, aireu_2d, airev_2d, 1./aire_2d, 1./airez ) |
| 245 |
|
! - et de fext_2d , force de coriolis extensive . |
| 246 |
|
|
| 247 |
|
! A 1 point scalaire P (i, j) de la grille, reguliere en (X, Y) , sont |
| 248 |
|
! affectees 4 aires entourant P , calculees respectivement aux points |
| 249 |
|
! ( i + 1/4, j - 1/4 ) : aireij1_2d (i, j) |
| 250 |
|
! ( i + 1/4, j + 1/4 ) : aireij2_2d (i, j) |
| 251 |
|
! ( i - 1/4, j + 1/4 ) : aireij3_2d (i, j) |
| 252 |
|
! ( i - 1/4, j - 1/4 ) : aireij4_2d (i, j) |
| 253 |
|
|
| 254 |
|
! , |
| 255 |
|
! Les cotes de chacun de ces 4 carres etant egaux a 1/2 suivant (X, Y). |
| 256 |
|
! Chaque aire centree en 1 point scalaire P(i, j) est egale a la somme |
| 257 |
|
! des 4 aires aireij1_2d, aireij2_2d, aireij3_2d, aireij4_2d qui sont |
| 258 |
|
! affectees au |
| 259 |
|
! point (i, j) . |
| 260 |
|
! On definit en outre les coefficients alpha comme etant egaux a |
| 261 |
|
! (aireij / aire_2d), c.a.d par exp. |
| 262 |
|
! alpha1_2d(i, j)=aireij1_2d(i, j)/aire_2d(i, j) |
| 263 |
|
|
| 264 |
|
! De meme, toute aire centree en 1 point U est egale a la somme des |
| 265 |
|
! 4 aires aireij1_2d, aireij2_2d, aireij3_2d, aireij4_2d entourant |
| 266 |
|
! le point U. |
| 267 |
|
! Idem pour airev_2d, airez . |
| 268 |
|
|
| 269 |
|
! On a , pour chaque maille : dX = dY = 1 |
| 270 |
|
|
| 271 |
|
! . V |
| 272 |
|
|
| 273 |
|
! aireij4_2d . . aireij1_2d |
| 274 |
|
|
| 275 |
|
! U . . P . U |
| 276 |
|
|
| 277 |
|
! aireij3_2d . . aireij2_2d |
| 278 |
|
|
| 279 |
|
! . V |
| 280 |
|
|
| 281 |
|
! Calcul des 4 aires elementaires aireij1_2d, aireij2_2d, |
| 282 |
|
! aireij3_2d, aireij4_2d |
| 283 |
|
! qui entourent chaque aire_2d(i, j) , ainsi que les 4 elongations |
| 284 |
|
! elementaires |
| 285 |
|
! cuij et les 4 elongat. cvij qui sont calculees aux memes |
| 286 |
|
! endroits que les aireij . |
| 287 |
|
|
| 288 |
|
! ....... do 35 : boucle sur les jjm + 1 latitudes ..... |
| 289 |
|
|
| 290 |
|
DO j = 1, jjp1 |
| 291 |
|
|
| 292 |
|
IF (j==1) THEN |
| 293 |
|
|
| 294 |
|
yprm = yprimu1(j) |
| 295 |
|
rlatm = rlatu1(j) |
| 296 |
|
|
| 297 |
|
coslatm = cos(rlatm) |
| 298 |
|
radclatm = 0.5*rad*coslatm |
| 299 |
|
|
| 300 |
|
DO i = 1, iim |
| 301 |
|
xprp = xprimp025(i) |
| 302 |
|
xprm = xprimm025(i) |
| 303 |
|
aireij2_2d(i, 1) = un4rad2*coslatm*xprp*yprm |
| 304 |
|
aireij3_2d(i, 1) = un4rad2*coslatm*xprm*yprm |
| 305 |
|
cuij2(i, 1) = radclatm*xprp |
| 306 |
|
cuij3(i, 1) = radclatm*xprm |
| 307 |
|
cvij2(i, 1) = 0.5*rad*yprm |
| 308 |
|
cvij3(i, 1) = cvij2(i, 1) |
| 309 |
|
END DO |
| 310 |
|
|
| 311 |
|
DO i = 1, iim |
| 312 |
|
aireij1_2d(i, 1) = 0. |
| 313 |
|
aireij4_2d(i, 1) = 0. |
| 314 |
|
cuij1(i, 1) = 0. |
| 315 |
|
cuij4(i, 1) = 0. |
| 316 |
|
cvij1(i, 1) = 0. |
| 317 |
|
cvij4(i, 1) = 0. |
| 318 |
|
END DO |
| 319 |
|
|
| 320 |
|
END IF |
| 321 |
|
|
| 322 |
|
IF (j==jjp1) THEN |
| 323 |
|
yprp = yprimu2(j-1) |
| 324 |
|
rlatp = rlatu2(j-1) |
| 325 |
|
|
| 326 |
|
coslatp = cos(rlatp) |
| 327 |
|
radclatp = 0.5*rad*coslatp |
| 328 |
|
|
| 329 |
|
DO i = 1, iim |
| 330 |
|
xprp = xprimp025(i) |
| 331 |
|
xprm = xprimm025(i) |
| 332 |
|
aireij1_2d(i, jjp1) = un4rad2*coslatp*xprp*yprp |
| 333 |
|
aireij4_2d(i, jjp1) = un4rad2*coslatp*xprm*yprp |
| 334 |
|
cuij1(i, jjp1) = radclatp*xprp |
| 335 |
|
cuij4(i, jjp1) = radclatp*xprm |
| 336 |
|
cvij1(i, jjp1) = 0.5*rad*yprp |
| 337 |
|
cvij4(i, jjp1) = cvij1(i, jjp1) |
| 338 |
|
END DO |
| 339 |
|
|
| 340 |
|
DO i = 1, iim |
| 341 |
|
aireij2_2d(i, jjp1) = 0. |
| 342 |
|
aireij3_2d(i, jjp1) = 0. |
| 343 |
|
cvij2(i, jjp1) = 0. |
| 344 |
|
cvij3(i, jjp1) = 0. |
| 345 |
|
cuij2(i, jjp1) = 0. |
| 346 |
|
cuij3(i, jjp1) = 0. |
| 347 |
|
END DO |
| 348 |
|
|
| 349 |
|
END IF |
| 350 |
|
|
| 351 |
|
IF (j>1 .AND. j<jjp1) THEN |
| 352 |
|
|
| 353 |
|
rlatp = rlatu2(j-1) |
| 354 |
|
yprp = yprimu2(j-1) |
| 355 |
|
rlatm = rlatu1(j) |
| 356 |
|
yprm = yprimu1(j) |
| 357 |
|
|
| 358 |
|
coslatm = cos(rlatm) |
| 359 |
|
coslatp = cos(rlatp) |
| 360 |
|
radclatp = 0.5*rad*coslatp |
| 361 |
|
radclatm = 0.5*rad*coslatm |
| 362 |
|
|
| 363 |
|
DO i = 1, iim |
| 364 |
|
xprp = xprimp025(i) |
| 365 |
|
xprm = xprimm025(i) |
| 366 |
|
|
| 367 |
|
ai14 = un4rad2*coslatp*yprp |
| 368 |
|
ai23 = un4rad2*coslatm*yprm |
| 369 |
|
aireij1_2d(i, j) = ai14*xprp |
| 370 |
|
aireij2_2d(i, j) = ai23*xprp |
| 371 |
|
aireij3_2d(i, j) = ai23*xprm |
| 372 |
|
aireij4_2d(i, j) = ai14*xprm |
| 373 |
|
cuij1(i, j) = radclatp*xprp |
| 374 |
|
cuij2(i, j) = radclatm*xprp |
| 375 |
|
cuij3(i, j) = radclatm*xprm |
| 376 |
|
cuij4(i, j) = radclatp*xprm |
| 377 |
|
cvij1(i, j) = 0.5*rad*yprp |
| 378 |
|
cvij2(i, j) = 0.5*rad*yprm |
| 379 |
|
cvij3(i, j) = cvij2(i, j) |
| 380 |
|
cvij4(i, j) = cvij1(i, j) |
| 381 |
|
END DO |
| 382 |
|
|
| 383 |
|
END IF |
| 384 |
|
|
| 385 |
|
! ........ periodicite ............ |
| 386 |
|
|
| 387 |
|
cvij1(iip1, j) = cvij1(1, j) |
| 388 |
|
cvij2(iip1, j) = cvij2(1, j) |
| 389 |
|
cvij3(iip1, j) = cvij3(1, j) |
| 390 |
|
cvij4(iip1, j) = cvij4(1, j) |
| 391 |
|
cuij1(iip1, j) = cuij1(1, j) |
| 392 |
|
cuij2(iip1, j) = cuij2(1, j) |
| 393 |
|
cuij3(iip1, j) = cuij3(1, j) |
| 394 |
|
cuij4(iip1, j) = cuij4(1, j) |
| 395 |
|
aireij1_2d(iip1, j) = aireij1_2d(1, j) |
| 396 |
|
aireij2_2d(iip1, j) = aireij2_2d(1, j) |
| 397 |
|
aireij3_2d(iip1, j) = aireij3_2d(1, j) |
| 398 |
|
aireij4_2d(iip1, j) = aireij4_2d(1, j) |
| 399 |
|
|
| 400 |
|
END DO |
| 401 |
|
|
| 402 |
|
DO j = 1, jjp1 |
| 403 |
|
DO i = 1, iim |
| 404 |
|
aire_2d(i, j) = aireij1_2d(i, j) + aireij2_2d(i, j) & |
| 405 |
|
+ aireij3_2d(i, j) + aireij4_2d(i, j) |
| 406 |
|
alpha1_2d(i, j) = aireij1_2d(i, j)/aire_2d(i, j) |
| 407 |
|
alpha2_2d(i, j) = aireij2_2d(i, j)/aire_2d(i, j) |
| 408 |
|
alpha3_2d(i, j) = aireij3_2d(i, j)/aire_2d(i, j) |
| 409 |
|
alpha4_2d(i, j) = aireij4_2d(i, j)/aire_2d(i, j) |
| 410 |
|
alpha1p2_2d(i, j) = alpha1_2d(i, j) + alpha2_2d(i, j) |
| 411 |
|
alpha1p4_2d(i, j) = alpha1_2d(i, j) + alpha4_2d(i, j) |
| 412 |
|
alpha2p3_2d(i, j) = alpha2_2d(i, j) + alpha3_2d(i, j) |
| 413 |
|
alpha3p4_2d(i, j) = alpha3_2d(i, j) + alpha4_2d(i, j) |
| 414 |
|
END DO |
| 415 |
|
|
| 416 |
|
aire_2d(iip1, j) = aire_2d(1, j) |
| 417 |
|
alpha1_2d(iip1, j) = alpha1_2d(1, j) |
| 418 |
|
alpha2_2d(iip1, j) = alpha2_2d(1, j) |
| 419 |
|
alpha3_2d(iip1, j) = alpha3_2d(1, j) |
| 420 |
|
alpha4_2d(iip1, j) = alpha4_2d(1, j) |
| 421 |
|
alpha1p2_2d(iip1, j) = alpha1p2_2d(1, j) |
| 422 |
|
alpha1p4_2d(iip1, j) = alpha1p4_2d(1, j) |
| 423 |
|
alpha2p3_2d(iip1, j) = alpha2p3_2d(1, j) |
| 424 |
|
alpha3p4_2d(iip1, j) = alpha3p4_2d(1, j) |
| 425 |
|
END DO |
| 426 |
|
|
| 427 |
|
DO j = 1, jjp1 |
| 428 |
|
DO i = 1, iim |
| 429 |
|
aireu_2d(i, j) = aireij1_2d(i, j) + aireij2_2d(i, j) + & |
| 430 |
|
aireij4_2d(i+1, j) + aireij3_2d(i+1, j) |
| 431 |
|
unsaire_2d(i, j) = 1./aire_2d(i, j) |
| 432 |
|
unsair_gam1_2d(i, j) = unsaire_2d(i, j)**(-gamdi_gdiv) |
| 433 |
|
unsair_gam2_2d(i, j) = unsaire_2d(i, j)**(-gamdi_h) |
| 434 |
|
airesurg_2d(i, j) = aire_2d(i, j)/g |
| 435 |
|
END DO |
| 436 |
|
aireu_2d(iip1, j) = aireu_2d(1, j) |
| 437 |
|
unsaire_2d(iip1, j) = unsaire_2d(1, j) |
| 438 |
|
unsair_gam1_2d(iip1, j) = unsair_gam1_2d(1, j) |
| 439 |
|
unsair_gam2_2d(iip1, j) = unsair_gam2_2d(1, j) |
| 440 |
|
airesurg_2d(iip1, j) = airesurg_2d(1, j) |
| 441 |
|
END DO |
| 442 |
|
|
| 443 |
|
DO j = 1, jjm |
| 444 |
|
|
| 445 |
|
DO i = 1, iim |
| 446 |
|
airev_2d(i, j) = aireij2_2d(i, j) + aireij3_2d(i, j) + & |
| 447 |
|
aireij1_2d(i, j+1) + aireij4_2d(i, j+1) |
| 448 |
|
END DO |
| 449 |
|
DO i = 1, iim |
| 450 |
|
airez = aireij2_2d(i, j) + aireij1_2d(i, j+1) + aireij3_2d(i+1, j) & |
| 451 |
|
+ aireij4_2d(i+1, j+1) |
| 452 |
|
unsairez_2d(i, j) = 1./airez |
| 453 |
|
unsairz_gam_2d(i, j) = unsairez_2d(i, j)**(-gamdi_grot) |
| 454 |
|
fext_2d(i, j) = airez*sin(rlatv(j))*2.*omeg |
| 455 |
|
END DO |
| 456 |
|
airev_2d(iip1, j) = airev_2d(1, j) |
| 457 |
|
unsairez_2d(iip1, j) = unsairez_2d(1, j) |
| 458 |
|
fext_2d(iip1, j) = fext_2d(1, j) |
| 459 |
|
unsairz_gam_2d(iip1, j) = unsairz_gam_2d(1, j) |
| 460 |
|
|
| 461 |
|
END DO |
| 462 |
|
|
| 463 |
|
! ..... Calcul des elongations cu_2d, cv_2d, cvu ......... |
| 464 |
|
|
| 465 |
|
DO j = 1, jjm |
| 466 |
|
DO i = 1, iim |
| 467 |
|
cv_2d(i, j) = 0.5 * & |
| 468 |
|
(cvij2(i, j) + cvij3(i, j) + cvij1(i, j+1) + cvij4(i, j+1)) |
| 469 |
|
cvu(i, j) = 0.5*(cvij1(i, j)+cvij4(i, j)+cvij2(i, j)+cvij3(i, j)) |
| 470 |
|
cuv(i, j) = 0.5*(cuij2(i, j)+cuij3(i, j)+cuij1(i, j+1)+cuij4(i, j+1)) |
| 471 |
|
unscv2_2d(i, j) = 1./(cv_2d(i, j)*cv_2d(i, j)) |
| 472 |
|
END DO |
| 473 |
|
DO i = 1, iim |
| 474 |
|
cuvsurcv_2d(i, j) = airev_2d(i, j)*unscv2_2d(i, j) |
| 475 |
|
cvsurcuv_2d(i, j) = 1./cuvsurcv_2d(i, j) |
| 476 |
|
cuvscvgam1_2d(i, j) = cuvsurcv_2d(i, j)**(-gamdi_gdiv) |
| 477 |
|
cuvscvgam2_2d(i, j) = cuvsurcv_2d(i, j)**(-gamdi_h) |
| 478 |
|
cvscuvgam_2d(i, j) = cvsurcuv_2d(i, j)**(-gamdi_grot) |
| 479 |
|
END DO |
| 480 |
|
cv_2d(iip1, j) = cv_2d(1, j) |
| 481 |
|
cvu(iip1, j) = cvu(1, j) |
| 482 |
|
unscv2_2d(iip1, j) = unscv2_2d(1, j) |
| 483 |
|
cuv(iip1, j) = cuv(1, j) |
| 484 |
|
cuvsurcv_2d(iip1, j) = cuvsurcv_2d(1, j) |
| 485 |
|
cvsurcuv_2d(iip1, j) = cvsurcuv_2d(1, j) |
| 486 |
|
cuvscvgam1_2d(iip1, j) = cuvscvgam1_2d(1, j) |
| 487 |
|
cuvscvgam2_2d(iip1, j) = cuvscvgam2_2d(1, j) |
| 488 |
|
cvscuvgam_2d(iip1, j) = cvscuvgam_2d(1, j) |
| 489 |
|
END DO |
| 490 |
|
|
| 491 |
|
DO j = 2, jjm |
| 492 |
|
DO i = 1, iim |
| 493 |
|
cu_2d(i, j) = 0.5 * (cuij1(i, j) + cuij4(i+1, j) + cuij2(i, j) & |
| 494 |
|
+ cuij3(i+1, j)) |
| 495 |
|
unscu2_2d(i, j) = 1./(cu_2d(i, j)*cu_2d(i, j)) |
| 496 |
|
cvusurcu_2d(i, j) = aireu_2d(i, j)*unscu2_2d(i, j) |
| 497 |
|
cusurcvu_2d(i, j) = 1./cvusurcu_2d(i, j) |
| 498 |
|
cvuscugam1_2d(i, j) = cvusurcu_2d(i, j)**(-gamdi_gdiv) |
| 499 |
|
cvuscugam2_2d(i, j) = cvusurcu_2d(i, j)**(-gamdi_h) |
| 500 |
|
cuscvugam_2d(i, j) = cusurcvu_2d(i, j)**(-gamdi_grot) |
| 501 |
|
END DO |
| 502 |
|
cu_2d(iip1, j) = cu_2d(1, j) |
| 503 |
|
unscu2_2d(iip1, j) = unscu2_2d(1, j) |
| 504 |
|
cvusurcu_2d(iip1, j) = cvusurcu_2d(1, j) |
| 505 |
|
cusurcvu_2d(iip1, j) = cusurcvu_2d(1, j) |
| 506 |
|
cvuscugam1_2d(iip1, j) = cvuscugam1_2d(1, j) |
| 507 |
|
cvuscugam2_2d(iip1, j) = cvuscugam2_2d(1, j) |
| 508 |
|
cuscvugam_2d(iip1, j) = cuscvugam_2d(1, j) |
| 509 |
|
END DO |
| 510 |
|
|
| 511 |
|
! .... calcul aux poles .... |
| 512 |
|
|
| 513 |
|
DO i = 1, iip1 |
| 514 |
|
cu_2d(i, 1) = 0. |
| 515 |
|
unscu2_2d(i, 1) = 0. |
| 516 |
|
cvu(i, 1) = 0. |
| 517 |
|
|
| 518 |
|
cu_2d(i, jjp1) = 0. |
| 519 |
|
unscu2_2d(i, jjp1) = 0. |
| 520 |
|
cvu(i, jjp1) = 0. |
| 521 |
|
END DO |
| 522 |
|
|
| 523 |
|
DO j = 1, jjm |
| 524 |
|
DO i = 1, iim |
| 525 |
|
airvscu2_2d(i, j) = airev_2d(i, j)/(cuv(i, j)*cuv(i, j)) |
| 526 |
|
aivscu2gam_2d(i, j) = airvscu2_2d(i, j)**(-gamdi_grot) |
| 527 |
|
END DO |
| 528 |
|
airvscu2_2d(iip1, j) = airvscu2_2d(1, j) |
| 529 |
|
aivscu2gam_2d(iip1, j) = aivscu2gam_2d(1, j) |
| 530 |
|
END DO |
| 531 |
|
|
| 532 |
|
DO j = 2, jjm |
| 533 |
|
DO i = 1, iim |
| 534 |
|
airuscv2_2d(i, j) = aireu_2d(i, j)/(cvu(i, j)*cvu(i, j)) |
| 535 |
|
aiuscv2gam_2d(i, j) = airuscv2_2d(i, j)**(-gamdi_grot) |
| 536 |
|
END DO |
| 537 |
|
airuscv2_2d(iip1, j) = airuscv2_2d(1, j) |
| 538 |
|
aiuscv2gam_2d(iip1, j) = aiuscv2gam_2d(1, j) |
| 539 |
|
END DO |
| 540 |
|
|
| 541 |
|
! calcul des aires aux poles : |
| 542 |
|
|
| 543 |
|
apoln = sum(aire_2d(:iim, 1)) |
| 544 |
|
apols = sum(aire_2d(:iim, jjp1)) |
| 545 |
|
unsapolnga1 = 1./(apoln**(-gamdi_gdiv)) |
| 546 |
|
unsapolsga1 = 1./(apols**(-gamdi_gdiv)) |
| 547 |
|
unsapolnga2 = 1./(apoln**(-gamdi_h)) |
| 548 |
|
unsapolsga2 = 1./(apols**(-gamdi_h)) |
| 549 |
|
|
| 550 |
|
! changement F. Hourdin calcul conservatif pour fext_2d |
| 551 |
|
! constang_2d contient le produit a * cos ( latitude ) * omega |
| 552 |
|
|
| 553 |
|
DO i = 1, iim |
| 554 |
|
constang_2d(i, 1) = 0. |
| 555 |
|
END DO |
| 556 |
|
DO j = 1, jjm - 1 |
| 557 |
|
DO i = 1, iim |
| 558 |
|
constang_2d(i, j+1) = rad*omeg*cu_2d(i, j+1)*cos(rlatu(j+1)) |
| 559 |
|
END DO |
| 560 |
|
END DO |
| 561 |
|
DO i = 1, iim |
| 562 |
|
constang_2d(i, jjp1) = 0. |
| 563 |
|
END DO |
| 564 |
|
|
| 565 |
|
! periodicite en longitude |
| 566 |
|
|
| 567 |
|
DO j = 1, jjm |
| 568 |
|
fext_2d(iip1, j) = fext_2d(1, j) |
| 569 |
|
END DO |
| 570 |
|
DO j = 1, jjp1 |
| 571 |
|
constang_2d(iip1, j) = constang_2d(1, j) |
| 572 |
|
END DO |
| 573 |
|
|
| 574 |
|
! fin du changement |
| 575 |
|
|
| 576 |
|
print *, ' *** Coordonnees de la grille *** ' |
| 577 |
|
WRITE (6, 995) |
| 578 |
|
|
| 579 |
|
print *, ' LONGITUDES aux pts. V ( degres ) ' |
| 580 |
|
WRITE (6, 995) |
| 581 |
|
DO i = 1, iip1 |
| 582 |
|
rlonvv(i) = rlonv(i)*180./pi |
| 583 |
|
END DO |
| 584 |
|
WRITE (6, 400) rlonvv |
| 585 |
|
|
| 586 |
|
WRITE (6, 995) |
| 587 |
|
print *, ' LATITUDES aux pts. V ( degres ) ' |
| 588 |
|
WRITE (6, 995) |
| 589 |
|
DO i = 1, jjm |
| 590 |
|
rlatuu(i) = rlatv(i)*180./pi |
| 591 |
|
END DO |
| 592 |
|
WRITE (6, 400) (rlatuu(i), i=1, jjm) |
| 593 |
|
|
| 594 |
|
DO i = 1, iip1 |
| 595 |
|
rlonvv(i) = rlonu(i)*180./pi |
| 596 |
|
END DO |
| 597 |
|
WRITE (6, 995) |
| 598 |
|
print *, ' LONGITUDES aux pts. U ( degres ) ' |
| 599 |
|
WRITE (6, 995) |
| 600 |
|
WRITE (6, 400) rlonvv |
| 601 |
|
WRITE (6, 995) |
| 602 |
|
|
| 603 |
|
print *, ' LATITUDES aux pts. U ( degres ) ' |
| 604 |
|
WRITE (6, 995) |
| 605 |
|
DO i = 1, jjp1 |
| 606 |
|
rlatuu(i) = rlatu(i)*180./pi |
| 607 |
|
END DO |
| 608 |
|
WRITE (6, 400) (rlatuu(i), i=1, jjp1) |
| 609 |
|
WRITE (6, 995) |
| 610 |
|
|
| 611 |
|
400 FORMAT (1X, 8F8.2) |
| 612 |
|
990 FORMAT (//) |
| 613 |
|
995 FORMAT (/) |
| 614 |
|
|
| 615 |
|
END SUBROUTINE inigeom |
| 616 |
|
|
| 617 |
c utilisation de f(x,y) a tangente sinusoidale , y etant la latit. .. |
end module inigeom_m |
|
c |
|
|
|
|
|
pxo = clon *pi /180. |
|
|
pyo = 2.* clat* pi /180. |
|
|
c |
|
|
c .... determination de transx ( pour le zoom ) par Newton-Raphson . |
|
|
c |
|
|
itmax = 10 |
|
|
eps = .1e-7 |
|
|
c |
|
|
xo1 = 0. |
|
|
DO 10 iter = 1, itmax |
|
|
x1 = xo1 |
|
|
f = x1+ alphax *SIN(x1-pxo) |
|
|
df = 1.+ alphax *COS(x1-pxo) |
|
|
x1 = x1 - f/df |
|
|
xdm = ABS( x1- xo1 ) |
|
|
IF( xdm.LE.eps )GO TO 11 |
|
|
xo1 = x1 |
|
|
10 CONTINUE |
|
|
11 CONTINUE |
|
|
c |
|
|
transx = xo1 |
|
|
|
|
|
itmay = 10 |
|
|
eps = .1e-7 |
|
|
C |
|
|
yo1 = 0. |
|
|
DO 15 iter = 1,itmay |
|
|
y1 = yo1 |
|
|
f = y1 + alphay* SIN(y1-pyo) |
|
|
df = 1. + alphay* COS(y1-pyo) |
|
|
y1 = y1 -f/df |
|
|
ydm = ABS(y1-yo1) |
|
|
IF(ydm.LE.eps) GO TO 17 |
|
|
yo1 = y1 |
|
|
15 CONTINUE |
|
|
c |
|
|
17 CONTINUE |
|
|
transy = yo1 |
|
|
|
|
|
CALL fxy ( rlatu,yprimu,rlatv,yprimv,rlatu1,yprimu1, |
|
|
, rlatu2,yprimu2, |
|
|
, rlonu,xprimu,rlonv,xprimv,rlonm025,xprimm025,rlonp025 |
|
|
$ ,xprimp025) |
|
|
|
|
|
ENDIF |
|
|
c |
|
|
ELSE |
|
|
c |
|
|
c .... Utilisation de fxyhyper , f(x,y) a derivee tangente hyperbol. |
|
|
c .................................................................. |
|
|
|
|
|
WRITE(6,*) |
|
|
$ '*** Inigeom , Y = Latitude , der.tg. hyperbolique ***' |
|
|
|
|
|
CALL fxyhyper( clat, grossismy, dzoomy, tauy , |
|
|
, clon, grossismx, dzoomx, taux , |
|
|
, rlatu,yprimu,rlatv, yprimv,rlatu1, yprimu1,rlatu2,yprimu2 , |
|
|
, rlonu,xprimu,rlonv,xprimv,rlonm025,xprimm025,rlonp025 |
|
|
$ ,xprimp025 ) |
|
|
|
|
|
|
|
|
ENDIF |
|
|
c |
|
|
c ------------------------------------------------------------------- |
|
|
|
|
|
c |
|
|
rlatu(1) = ASIN(1.) |
|
|
rlatu(jjp1) = - rlatu(1) |
|
|
c |
|
|
c |
|
|
c .... calcul aux poles .... |
|
|
c |
|
|
yprimu(1) = 0. |
|
|
yprimu(jjp1) = 0. |
|
|
c |
|
|
c |
|
|
un4rad2 = 0.25 * rad * rad |
|
|
c |
|
|
c ------------------------------------------------------------- |
|
|
c ------------------------------------------------------------- |
|
|
c - |
|
|
c calcul des aires ( aire_2d,aireu_2d,airev_2d, 1./aire_2d, 1./airez ) |
|
|
c - et de fext_2d , force de coriolis extensive . |
|
|
c - |
|
|
c ------------------------------------------------------------- |
|
|
c ------------------------------------------------------------- |
|
|
c |
|
|
c |
|
|
c |
|
|
c A 1 point scalaire P (i,j) de la grille, reguliere en (X,Y) , sont |
|
|
c affectees 4 aires entourant P , calculees respectivement aux points |
|
|
c ( i + 1/4, j - 1/4 ) : aireij1_2d (i,j) |
|
|
c ( i + 1/4, j + 1/4 ) : aireij2_2d (i,j) |
|
|
c ( i - 1/4, j + 1/4 ) : aireij3_2d (i,j) |
|
|
c ( i - 1/4, j - 1/4 ) : aireij4_2d (i,j) |
|
|
c |
|
|
c , |
|
|
c Les cotes de chacun de ces 4 carres etant egaux a 1/2 suivant (X,Y). |
|
|
c Chaque aire centree en 1 point scalaire P(i,j) est egale a la somme |
|
|
c des 4 aires aireij1_2d,aireij2_2d,aireij3_2d,aireij4_2d qui sont affectees au |
|
|
c point (i,j) . |
|
|
c On definit en outre les coefficients alpha comme etant egaux a |
|
|
c (aireij / aire_2d), c.a.d par exp. alpha1_2d(i,j)=aireij1_2d(i,j)/aire_2d(i,j) |
|
|
c |
|
|
c De meme, toute aire centree en 1 point U est egale a la somme des |
|
|
c 4 aires aireij1_2d,aireij2_2d,aireij3_2d,aireij4_2d entourant le point U . |
|
|
c Idem pour airev_2d, airez . |
|
|
c |
|
|
c On a ,pour chaque maille : dX = dY = 1 |
|
|
c |
|
|
c |
|
|
c . V |
|
|
c |
|
|
c aireij4_2d . . aireij1_2d |
|
|
c |
|
|
c U . . P . U |
|
|
c |
|
|
c aireij3_2d . . aireij2_2d |
|
|
c |
|
|
c . V |
|
|
c |
|
|
c |
|
|
c |
|
|
c |
|
|
c |
|
|
c .................................................................... |
|
|
c |
|
|
c Calcul des 4 aires elementaires aireij1_2d,aireij2_2d,aireij3_2d,aireij4_2d |
|
|
c qui entourent chaque aire_2d(i,j) , ainsi que les 4 elongations elemen |
|
|
c taires cuij et les 4 elongat. cvij qui sont calculees aux memes |
|
|
c endroits que les aireij . |
|
|
c |
|
|
c .................................................................... |
|
|
c |
|
|
c ....... do 35 : boucle sur les jjm + 1 latitudes ..... |
|
|
c |
|
|
c |
|
|
DO 35 j = 1, jjp1 |
|
|
c |
|
|
IF ( j. eq. 1 ) THEN |
|
|
c |
|
|
yprm = yprimu1(j) |
|
|
rlatm = rlatu1(j) |
|
|
c |
|
|
coslatm = COS( rlatm ) |
|
|
radclatm = 0.5* rad * coslatm |
|
|
c |
|
|
DO 30 i = 1, iim |
|
|
xprp = xprimp025( i ) |
|
|
xprm = xprimm025( i ) |
|
|
aireij2_2d( i,1 ) = un4rad2 * coslatm * xprp * yprm |
|
|
aireij3_2d( i,1 ) = un4rad2 * coslatm * xprm * yprm |
|
|
cuij2 ( i,1 ) = radclatm * xprp |
|
|
cuij3 ( i,1 ) = radclatm * xprm |
|
|
cvij2 ( i,1 ) = 0.5* rad * yprm |
|
|
cvij3 ( i,1 ) = cvij2(i,1) |
|
|
30 CONTINUE |
|
|
c |
|
|
DO i = 1, iim |
|
|
aireij1_2d( i,1 ) = 0. |
|
|
aireij4_2d( i,1 ) = 0. |
|
|
cuij1 ( i,1 ) = 0. |
|
|
cuij4 ( i,1 ) = 0. |
|
|
cvij1 ( i,1 ) = 0. |
|
|
cvij4 ( i,1 ) = 0. |
|
|
ENDDO |
|
|
c |
|
|
END IF |
|
|
c |
|
|
IF ( j. eq. jjp1 ) THEN |
|
|
yprp = yprimu2(j-1) |
|
|
rlatp = rlatu2 (j-1) |
|
|
ccc yprp = fyprim( FLOAT(j) - 0.25 ) |
|
|
ccc rlatp = fy ( FLOAT(j) - 0.25 ) |
|
|
c |
|
|
coslatp = COS( rlatp ) |
|
|
radclatp = 0.5* rad * coslatp |
|
|
c |
|
|
DO 31 i = 1,iim |
|
|
xprp = xprimp025( i ) |
|
|
xprm = xprimm025( i ) |
|
|
aireij1_2d( i,jjp1 ) = un4rad2 * coslatp * xprp * yprp |
|
|
aireij4_2d( i,jjp1 ) = un4rad2 * coslatp * xprm * yprp |
|
|
cuij1(i,jjp1) = radclatp * xprp |
|
|
cuij4(i,jjp1) = radclatp * xprm |
|
|
cvij1(i,jjp1) = 0.5 * rad* yprp |
|
|
cvij4(i,jjp1) = cvij1(i,jjp1) |
|
|
31 CONTINUE |
|
|
c |
|
|
DO i = 1, iim |
|
|
aireij2_2d( i,jjp1 ) = 0. |
|
|
aireij3_2d( i,jjp1 ) = 0. |
|
|
cvij2 ( i,jjp1 ) = 0. |
|
|
cvij3 ( i,jjp1 ) = 0. |
|
|
cuij2 ( i,jjp1 ) = 0. |
|
|
cuij3 ( i,jjp1 ) = 0. |
|
|
ENDDO |
|
|
c |
|
|
END IF |
|
|
c |
|
|
|
|
|
IF ( j .gt. 1 .AND. j .lt. jjp1 ) THEN |
|
|
c |
|
|
rlatp = rlatu2 ( j-1 ) |
|
|
yprp = yprimu2( j-1 ) |
|
|
rlatm = rlatu1 ( j ) |
|
|
yprm = yprimu1( j ) |
|
|
cc rlatp = fy ( FLOAT(j) - 0.25 ) |
|
|
cc yprp = fyprim( FLOAT(j) - 0.25 ) |
|
|
cc rlatm = fy ( FLOAT(j) + 0.25 ) |
|
|
cc yprm = fyprim( FLOAT(j) + 0.25 ) |
|
|
|
|
|
coslatm = COS( rlatm ) |
|
|
coslatp = COS( rlatp ) |
|
|
radclatp = 0.5* rad * coslatp |
|
|
radclatm = 0.5* rad * coslatm |
|
|
c |
|
|
DO 32 i = 1,iim |
|
|
xprp = xprimp025( i ) |
|
|
xprm = xprimm025( i ) |
|
|
|
|
|
ai14 = un4rad2 * coslatp * yprp |
|
|
ai23 = un4rad2 * coslatm * yprm |
|
|
aireij1_2d ( i,j ) = ai14 * xprp |
|
|
aireij2_2d ( i,j ) = ai23 * xprp |
|
|
aireij3_2d ( i,j ) = ai23 * xprm |
|
|
aireij4_2d ( i,j ) = ai14 * xprm |
|
|
cuij1 ( i,j ) = radclatp * xprp |
|
|
cuij2 ( i,j ) = radclatm * xprp |
|
|
cuij3 ( i,j ) = radclatm * xprm |
|
|
cuij4 ( i,j ) = radclatp * xprm |
|
|
cvij1 ( i,j ) = 0.5* rad * yprp |
|
|
cvij2 ( i,j ) = 0.5* rad * yprm |
|
|
cvij3 ( i,j ) = cvij2(i,j) |
|
|
cvij4 ( i,j ) = cvij1(i,j) |
|
|
32 CONTINUE |
|
|
c |
|
|
END IF |
|
|
c |
|
|
c ........ periodicite ............ |
|
|
c |
|
|
cvij1 (iip1,j) = cvij1 (1,j) |
|
|
cvij2 (iip1,j) = cvij2 (1,j) |
|
|
cvij3 (iip1,j) = cvij3 (1,j) |
|
|
cvij4 (iip1,j) = cvij4 (1,j) |
|
|
cuij1 (iip1,j) = cuij1 (1,j) |
|
|
cuij2 (iip1,j) = cuij2 (1,j) |
|
|
cuij3 (iip1,j) = cuij3 (1,j) |
|
|
cuij4 (iip1,j) = cuij4 (1,j) |
|
|
aireij1_2d (iip1,j) = aireij1_2d (1,j ) |
|
|
aireij2_2d (iip1,j) = aireij2_2d (1,j ) |
|
|
aireij3_2d (iip1,j) = aireij3_2d (1,j ) |
|
|
aireij4_2d (iip1,j) = aireij4_2d (1,j ) |
|
|
|
|
|
35 CONTINUE |
|
|
c |
|
|
c .............................................................. |
|
|
c |
|
|
DO 37 j = 1, jjp1 |
|
|
DO 36 i = 1, iim |
|
|
aire_2d ( i,j ) = aireij1_2d(i,j) + aireij2_2d(i,j) |
|
|
* + aireij3_2d(i,j) + aireij4_2d(i,j) |
|
|
alpha1_2d ( i,j ) = aireij1_2d(i,j) / aire_2d(i,j) |
|
|
alpha2_2d ( i,j ) = aireij2_2d(i,j) / aire_2d(i,j) |
|
|
alpha3_2d ( i,j ) = aireij3_2d(i,j) / aire_2d(i,j) |
|
|
alpha4_2d ( i,j ) = aireij4_2d(i,j) / aire_2d(i,j) |
|
|
alpha1p2_2d( i,j ) = alpha1_2d (i,j) + alpha2_2d (i,j) |
|
|
alpha1p4_2d( i,j ) = alpha1_2d (i,j) + alpha4_2d (i,j) |
|
|
alpha2p3_2d( i,j ) = alpha2_2d (i,j) + alpha3_2d (i,j) |
|
|
alpha3p4_2d( i,j ) = alpha3_2d (i,j) + alpha4_2d (i,j) |
|
|
36 CONTINUE |
|
|
c |
|
|
c |
|
|
aire_2d (iip1,j) = aire_2d (1,j) |
|
|
alpha1_2d (iip1,j) = alpha1_2d (1,j) |
|
|
alpha2_2d (iip1,j) = alpha2_2d (1,j) |
|
|
alpha3_2d (iip1,j) = alpha3_2d (1,j) |
|
|
alpha4_2d (iip1,j) = alpha4_2d (1,j) |
|
|
alpha1p2_2d(iip1,j) = alpha1p2_2d(1,j) |
|
|
alpha1p4_2d(iip1,j) = alpha1p4_2d(1,j) |
|
|
alpha2p3_2d(iip1,j) = alpha2p3_2d(1,j) |
|
|
alpha3p4_2d(iip1,j) = alpha3p4_2d(1,j) |
|
|
37 CONTINUE |
|
|
c |
|
|
|
|
|
DO 42 j = 1,jjp1 |
|
|
DO 41 i = 1,iim |
|
|
aireu_2d (i,j)= aireij1_2d(i,j) + aireij2_2d(i,j) |
|
|
* + aireij4_2d(i+1,j) +aireij3_2d(i+1,j) |
|
|
unsaire_2d ( i,j)= 1./ aire_2d(i,j) |
|
|
unsair_gam1_2d( i,j)= unsaire_2d(i,j)** ( - gamdi_gdiv ) |
|
|
unsair_gam2_2d( i,j)= unsaire_2d(i,j)** ( - gamdi_h ) |
|
|
airesurg_2d ( i,j)= aire_2d(i,j)/ g |
|
|
41 CONTINUE |
|
|
aireu_2d (iip1,j) = aireu_2d (1,j) |
|
|
unsaire_2d (iip1,j) = unsaire_2d(1,j) |
|
|
unsair_gam1_2d(iip1,j) = unsair_gam1_2d(1,j) |
|
|
unsair_gam2_2d(iip1,j) = unsair_gam2_2d(1,j) |
|
|
airesurg_2d (iip1,j) = airesurg_2d(1,j) |
|
|
42 CONTINUE |
|
|
c |
|
|
c |
|
|
DO 48 j = 1,jjm |
|
|
c |
|
|
DO i=1,iim |
|
|
airev_2d (i,j) = aireij2_2d(i,j)+ aireij3_2d(i,j) |
|
|
* + aireij1_2d(i,j+1) +aireij4_2d(i,j+1) |
|
|
ENDDO |
|
|
DO i=1,iim |
|
|
airez = aireij2_2d(i,j)+aireij1_2d(i,j+1) |
|
|
* +aireij3_2d(i+1,j) +aireij4_2d(i+1,j+1) |
|
|
unsairez_2d(i,j) = 1./ airez |
|
|
unsairz_gam_2d(i,j)= unsairez_2d(i,j)** ( - gamdi_grot ) |
|
|
fext_2d (i,j) = airez * SIN(rlatv(j))* 2.* omeg |
|
|
ENDDO |
|
|
airev_2d (iip1,j) = airev_2d(1,j) |
|
|
unsairez_2d (iip1,j) = unsairez_2d(1,j) |
|
|
fext_2d (iip1,j) = fext_2d(1,j) |
|
|
unsairz_gam_2d(iip1,j) = unsairz_gam_2d(1,j) |
|
|
c |
|
|
48 CONTINUE |
|
|
c |
|
|
c |
|
|
c ..... Calcul des elongations cu_2d,cv_2d, cvu ......... |
|
|
c |
|
|
DO j = 1, jjm |
|
|
DO i = 1, iim |
|
|
cv_2d(i,j) = 0.5 |
|
|
$ *( cvij2(i,j)+cvij3(i,j)+cvij1(i,j+1)+cvij4(i,j+1)) |
|
|
cvu(i,j)= 0.5 *( cvij1(i,j)+cvij4(i,j)+cvij2(i,j) +cvij3(i,j) ) |
|
|
cuv(i,j)= 0.5 |
|
|
$ *( cuij2(i,j)+cuij3(i,j)+cuij1(i,j+1)+cuij4(i,j+1)) |
|
|
unscv2_2d(i,j) = 1./ ( cv_2d(i,j)*cv_2d(i,j) ) |
|
|
ENDDO |
|
|
DO i = 1, iim |
|
|
cuvsurcv_2d (i,j) = airev_2d(i,j) * unscv2_2d(i,j) |
|
|
cvsurcuv_2d (i,j) = 1./cuvsurcv_2d(i,j) |
|
|
cuvscvgam1_2d(i,j) = cuvsurcv_2d (i,j) ** ( - gamdi_gdiv ) |
|
|
cuvscvgam2_2d(i,j) = cuvsurcv_2d (i,j) ** ( - gamdi_h ) |
|
|
cvscuvgam_2d(i,j) = cvsurcuv_2d (i,j) ** ( - gamdi_grot ) |
|
|
ENDDO |
|
|
cv_2d (iip1,j) = cv_2d (1,j) |
|
|
cvu (iip1,j) = cvu (1,j) |
|
|
unscv2_2d (iip1,j) = unscv2_2d (1,j) |
|
|
cuv (iip1,j) = cuv (1,j) |
|
|
cuvsurcv_2d (iip1,j) = cuvsurcv_2d (1,j) |
|
|
cvsurcuv_2d (iip1,j) = cvsurcuv_2d (1,j) |
|
|
cuvscvgam1_2d(iip1,j) = cuvscvgam1_2d(1,j) |
|
|
cuvscvgam2_2d(iip1,j) = cuvscvgam2_2d(1,j) |
|
|
cvscuvgam_2d(iip1,j) = cvscuvgam_2d(1,j) |
|
|
ENDDO |
|
|
|
|
|
DO j = 2, jjm |
|
|
DO i = 1, iim |
|
|
cu_2d(i,j) = 0.5 |
|
|
$ *(cuij1(i,j)+cuij4(i+1,j)+cuij2(i,j)+cuij3(i+1,j)) |
|
|
unscu2_2d (i,j) = 1./ ( cu_2d(i,j) * cu_2d(i,j) ) |
|
|
cvusurcu_2d (i,j) = aireu_2d(i,j) * unscu2_2d(i,j) |
|
|
cusurcvu_2d (i,j) = 1./ cvusurcu_2d(i,j) |
|
|
cvuscugam1_2d (i,j) = cvusurcu_2d(i,j) ** ( - gamdi_gdiv ) |
|
|
cvuscugam2_2d (i,j) = cvusurcu_2d(i,j) ** ( - gamdi_h ) |
|
|
cuscvugam_2d (i,j) = cusurcvu_2d(i,j) ** ( - gamdi_grot ) |
|
|
ENDDO |
|
|
cu_2d (iip1,j) = cu_2d(1,j) |
|
|
unscu2_2d (iip1,j) = unscu2_2d(1,j) |
|
|
cvusurcu_2d (iip1,j) = cvusurcu_2d(1,j) |
|
|
cusurcvu_2d (iip1,j) = cusurcvu_2d(1,j) |
|
|
cvuscugam1_2d(iip1,j) = cvuscugam1_2d(1,j) |
|
|
cvuscugam2_2d(iip1,j) = cvuscugam2_2d(1,j) |
|
|
cuscvugam_2d (iip1,j) = cuscvugam_2d(1,j) |
|
|
ENDDO |
|
|
|
|
|
c |
|
|
c .... calcul aux poles .... |
|
|
c |
|
|
DO i = 1, iip1 |
|
|
cu_2d ( i, 1 ) = 0. |
|
|
unscu2_2d( i, 1 ) = 0. |
|
|
cvu ( i, 1 ) = 0. |
|
|
c |
|
|
cu_2d (i, jjp1) = 0. |
|
|
unscu2_2d(i, jjp1) = 0. |
|
|
cvu (i, jjp1) = 0. |
|
|
ENDDO |
|
|
c |
|
|
c .............................................................. |
|
|
c |
|
|
DO j = 1, jjm |
|
|
DO i= 1, iim |
|
|
airvscu2_2d (i,j) = airev_2d(i,j)/ ( cuv(i,j) * cuv(i,j) ) |
|
|
aivscu2gam_2d(i,j) = airvscu2_2d(i,j)** ( - gamdi_grot ) |
|
|
ENDDO |
|
|
airvscu2_2d (iip1,j) = airvscu2_2d(1,j) |
|
|
aivscu2gam_2d(iip1,j) = aivscu2gam_2d(1,j) |
|
|
ENDDO |
|
|
|
|
|
DO j=2,jjm |
|
|
DO i=1,iim |
|
|
airuscv2_2d (i,j) = aireu_2d(i,j)/ ( cvu(i,j) * cvu(i,j) ) |
|
|
aiuscv2gam_2d (i,j) = airuscv2_2d(i,j)** ( - gamdi_grot ) |
|
|
ENDDO |
|
|
airuscv2_2d (iip1,j) = airuscv2_2d (1,j) |
|
|
aiuscv2gam_2d(iip1,j) = aiuscv2gam_2d(1,j) |
|
|
ENDDO |
|
|
|
|
|
c |
|
|
c calcul des aires aux poles : |
|
|
c ----------------------------- |
|
|
c |
|
|
apoln = SSUM(iim,aire_2d(1,1),1) |
|
|
apols = SSUM(iim,aire_2d(1,jjp1),1) |
|
|
unsapolnga1 = 1./ ( apoln ** ( - gamdi_gdiv ) ) |
|
|
unsapolsga1 = 1./ ( apols ** ( - gamdi_gdiv ) ) |
|
|
unsapolnga2 = 1./ ( apoln ** ( - gamdi_h ) ) |
|
|
unsapolsga2 = 1./ ( apols ** ( - gamdi_h ) ) |
|
|
c |
|
|
c---------------------------------------------------------------- |
|
|
c gtitre='Coriolis version ancienne' |
|
|
c gfichier='fext1' |
|
|
c CALL writestd(fext_2d,iip1*jjm) |
|
|
c |
|
|
c changement F. Hourdin calcul conservatif pour fext_2d |
|
|
c constang_2d contient le produit a * cos ( latitude ) * omega |
|
|
c |
|
|
DO i=1,iim |
|
|
constang_2d(i,1) = 0. |
|
|
ENDDO |
|
|
DO j=1,jjm-1 |
|
|
DO i=1,iim |
|
|
constang_2d(i,j+1) = rad*omeg*cu_2d(i,j+1)*COS(rlatu(j+1)) |
|
|
ENDDO |
|
|
ENDDO |
|
|
DO i=1,iim |
|
|
constang_2d(i,jjp1) = 0. |
|
|
ENDDO |
|
|
c |
|
|
c periodicite en longitude |
|
|
c |
|
|
DO j=1,jjm |
|
|
fext_2d(iip1,j) = fext_2d(1,j) |
|
|
ENDDO |
|
|
DO j=1,jjp1 |
|
|
constang_2d(iip1,j) = constang_2d(1,j) |
|
|
ENDDO |
|
|
|
|
|
c fin du changement |
|
|
|
|
|
c |
|
|
c---------------------------------------------------------------- |
|
|
c |
|
|
WRITE(6,*) ' *** Coordonnees de la grille *** ' |
|
|
WRITE(6,995) |
|
|
c |
|
|
WRITE(6,*) ' LONGITUDES aux pts. V ( degres ) ' |
|
|
WRITE(6,995) |
|
|
DO i=1,iip1 |
|
|
rlonvv(i) = rlonv(i)*180./pi |
|
|
ENDDO |
|
|
WRITE(6,400) rlonvv |
|
|
c |
|
|
WRITE(6,995) |
|
|
WRITE(6,*) ' LATITUDES aux pts. V ( degres ) ' |
|
|
WRITE(6,995) |
|
|
DO i=1,jjm |
|
|
rlatuu(i)=rlatv(i)*180./pi |
|
|
ENDDO |
|
|
WRITE(6,400) (rlatuu(i),i=1,jjm) |
|
|
c |
|
|
DO i=1,iip1 |
|
|
rlonvv(i)=rlonu(i)*180./pi |
|
|
ENDDO |
|
|
WRITE(6,995) |
|
|
WRITE(6,*) ' LONGITUDES aux pts. U ( degres ) ' |
|
|
WRITE(6,995) |
|
|
WRITE(6,400) rlonvv |
|
|
WRITE(6,995) |
|
|
|
|
|
WRITE(6,*) ' LATITUDES aux pts. U ( degres ) ' |
|
|
WRITE(6,995) |
|
|
DO i=1,jjp1 |
|
|
rlatuu(i)=rlatu(i)*180./pi |
|
|
ENDDO |
|
|
WRITE(6,400) (rlatuu(i),i=1,jjp1) |
|
|
WRITE(6,995) |
|
|
c |
|
|
444 format(f10.3,f6.0) |
|
|
400 FORMAT(1x,8f8.2) |
|
|
990 FORMAT(//) |
|
|
995 FORMAT(/) |
|
|
c |
|
|
RETURN |
|
|
END |
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