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SUBROUTINE inigeom |
module inigeom_m |
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! Auteur : P. Le Van |
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! ............ Version du 01/04/2001 ................... |
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! Calcul des elongations cuij1,.cuij4 , cvij1,..cvij4 aux memes en- |
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! endroits que les aires aireij1_2d,..aireij4_2d . |
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! Choix entre f(y) a derivee sinusoid. ou a derivee tangente hyperbol. |
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! Possibilité d'appeler une fonction "f(y)" à |
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! dérivée tangente hyperbolique à la place de la fonction à dérivée |
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! sinusoïdale. |
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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 |
IMPLICIT NONE |
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contains |
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!------------------------------------------------------------------ |
SUBROUTINE inigeom |
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! .... Variables locales .... |
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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), yprimv(jjm), & |
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yprimu(jjp1) |
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REAL gamdi_gdiv, gamdi_grot, gamdi_h |
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REAL rlonm025(iip1), xprimm025(iip1), rlonp025(iip1), 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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! calcul des coeff. ( cu_2d, cv_2d , 1./cu_2d**2, 1./cv_2d**2 ) |
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! - - |
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! ------------------------------------------------------------------ |
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! les coef. ( cu_2d, cv_2d ) permettent de passer des vitesses naturelles |
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! aux vitesses covariantes et contravariantes , ou vice-versa ... |
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! on a : u (covariant) = cu_2d * u (naturel) , u(contrav)= u(nat)/cu_2d |
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! v (covariant) = cv_2d * v (naturel) , v(contrav)= v(nat)/cv_2d |
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! on en tire : u(covariant) = cu_2d * cu_2d * u(contravariant) |
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! v(covariant) = cv_2d * cv_2d * v(contravariant) |
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! on a l'application ( x(X) , y(Y) ) avec - im/2 +1 < X < im/2 |
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! = = |
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! et - jm/2 < Y < jm/2 |
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! = = |
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! ................................................... |
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! ................................................... |
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! . x est la longitude du point en radians . |
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! . y est la latitude du point en radians . |
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! . . |
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! . on a : cu_2d(i,j) = rad * COS(y) * dx/dX . |
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! . cv( j ) = rad * dy/dY . |
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! . aire_2d(i,j) = cu_2d(i,j) * cv(j) . |
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! . . |
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! . y, dx/dX, dy/dY calcules aux points concernes . |
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! . . |
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! ................................................... |
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! ................................................... |
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! , |
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! cv , bien que dependant de j uniquement,sera ici indice aussi en i |
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! pour un adressage plus facile en ij . |
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! ************** aux points u et v , ***************** |
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! xprimu et xprimv sont respectivement les valeurs de dx/dX |
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! yprimu et yprimv . . . . . . . . . . . dy/dY |
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! rlatu et rlatv . . . . . . . . . . .la latitude |
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! cvu et cv_2d . . . . . . . . . . . cv_2d |
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! ************** aux points u, v, scalaires, et z **************** |
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! cu_2d, cuv, cuscal, cuz sont respectiv. les valeurs de cu_2d |
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! Exemple de distribution de variables sur la grille dans le |
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! domaine de travail ( X,Y ) . |
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! ................................................................ |
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! DX=DY= 1 |
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! + represente un point scalaire ( p.exp la pression ) |
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! > represente la composante zonale du vent |
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! V represente la composante meridienne du vent |
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! o represente la vorticite |
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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 + > + > + > + > + > + > + > + > |
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! V o V o V o V o V o V o V o V o |
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! 3 + > + > + > + > + > + > + > + > |
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! V o V o V o V o V o V o V o V o |
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! 4 + > + > + > + > + > + > + > + > |
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! V o V o V o V o V o V o V o V o |
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! 5 + ---- + ---- + ---- + ---- + ---- + ---- + ---- + -- |
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! Ci-dessus, on voit que le nombre de pts.en longitude est egal |
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! a IM = 8 |
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! De meme , le nombre d'intervalles entre les 2 poles est egal |
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! a JM = 4 |
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! Les points scalaires ( + ) correspondent donc a des valeurs |
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! entieres de i ( 1 a IM ) et de j ( 1 a JM +1 ) . |
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! Les vents U ( > ) correspondent a des valeurs semi- |
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! entieres de i ( 1+ 0.5 a IM+ 0.5) et entieres de j ( 1 a JM+1) |
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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) |
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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 '/5X, & |
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' elong. cuij1, .. 4 , cvij1,.. 4 qui les entourent , aux '/5X, & |
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' memes endroits que les aires aireij1_2d,...j4 . '/) |
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IF (nitergdiv/=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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END IF |
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IF (nitergrot/=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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END IF |
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IF (niterh/=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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END IF |
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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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pi = 2.*asin(1.) |
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WRITE (6,990) |
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! ---------------------------------------------------------------- |
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IF ( .NOT. fxyhypb) THEN |
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IF (ysinus) THEN |
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WRITE (6,*) ' *** Inigeom , Y = Sinus ( Latitude ) *** ' |
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! .... utilisation de f(x,y ) avec y = sinus de la latitude ... |
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CALL fxysinus(rlatu,yprimu,rlatv,yprimv,rlatu1,yprimu1,rlatu2, & |
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yprimu2,rlonu,xprimu,rlonv,xprimv,rlonm025,xprimm025,rlonp025, & |
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xprimp025) |
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ELSE |
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WRITE (6,*) '*** Inigeom , Y = Latitude , der. sinusoid . ***' |
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! utilisation de f(x,y) a tangente sinusoidale , y etant la latit. .. |
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pxo = clon*pi/180. |
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pyo = 2.*clat*pi/180. |
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! .... determination de transx ( pour le zoom ) par Newton-Raphson . |
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itmax = 10 |
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eps = .1E-7 |
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xo1 = 0. |
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DO 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<=eps) exit |
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xo1 = x1 |
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end DO |
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transx = xo1 |
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itmay = 10 |
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eps = .1E-7 |
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yo1 = 0. |
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DO 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<=eps) exit |
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yo1 = y1 |
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end DO |
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transy = yo1 |
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CALL fxy(rlatu,yprimu,rlatv,yprimv,rlatu1,yprimu1,rlatu2,yprimu2, & |
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rlonu,xprimu,rlonv,xprimv,rlonm025,xprimm025,rlonp025,xprimp025) |
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END IF |
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ELSE |
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! .... Utilisation de fxyhyper , f(x,y) a derivee tangente hyperbol. |
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! .................................................................. |
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WRITE (6,*) '*** Inigeom , Y = Latitude , der.tg. hyperbolique ***' |
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CALL fxyhyper(clat,grossismy,dzoomy,tauy,clon,grossismx,dzoomx,taux, & |
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rlatu,yprimu,rlatv,yprimv,rlatu1,yprimu1,rlatu2,yprimu2,rlonu, & |
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xprimu,rlonv,xprimv,rlonm025,xprimm025,rlonp025,xprimp025) |
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END IF |
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! ------------------------------------------------------------------- |
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rlatu(1) = asin(1.) |
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rlatu(jjp1) = -rlatu(1) |
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8 |
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! .... calcul aux poles .... |
! Auteur : P. Le Van |
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! Version du 01/04/2001 |
11 |
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yprimu(1) = 0. |
! Calcul des élongations cuij1, ..., cuij4, cvij1, ..., cvij4 aux mêmes |
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yprimu(jjp1) = 0. |
! endroits que les aires aireij1_2d, ..., aireij4_2d. |
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15 |
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! Choix entre une fonction "f(y)" à dérivée sinusoïdale ou à dérivée |
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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 |
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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) |
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28 |
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! on a l'application ( x(X) , y(Y) ) avec - im/2 +1 < X < im/2 |
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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 . |
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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 . |
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! . aire_2d(i, j) = cu_2d(i, j) * cv(j) . |
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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 |
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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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63 |
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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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71 |
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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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! 3 + > + > + > + > + > + > + > + > |
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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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! 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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USE dimens_m, ONLY : iim, jjm |
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USE paramet_m, ONLY : iip1, jjp1 |
103 |
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USE comconst, ONLY : g, omeg, pi, rad |
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USE comdissnew, ONLY : coefdis, nitergdiv, nitergrot, niterh |
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USE logic, ONLY : fxyhypb, ysinus |
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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, & |
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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 |
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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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118 |
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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 |
|
SAVE rlatu1, yprimu1, rlatu2, yprimu2, yprimv, yprimu |
136 |
|
SAVE rlonm025, xprimm025, rlonp025, xprimp025 |
137 |
|
|
138 |
|
real aireij1_2d(iim + 1, jjm + 1) |
139 |
|
real aireij2_2d(iim + 1, jjm + 1) |
140 |
|
real aireij3_2d(iim + 1, jjm + 1), aireij4_2d(iim + 1, jjm + 1) |
141 |
|
real airuscv2_2d(iim + 1, jjm) |
142 |
|
real airvscu2_2d(iim + 1, jjm), aiuscv2gam_2d(iim + 1, jjm) |
143 |
|
real aivscu2gam_2d(iim + 1, jjm) |
144 |
|
|
145 |
|
!------------------------------------------------------------------ |
146 |
|
|
147 |
|
PRINT *, 'Call sequence information: inigeom' |
148 |
|
|
149 |
|
IF (nitergdiv/=2) THEN |
150 |
|
gamdi_gdiv = coefdis/(real(nitergdiv)-2.) |
151 |
|
ELSE |
152 |
|
gamdi_gdiv = 0. |
153 |
|
END IF |
154 |
|
IF (nitergrot/=2) THEN |
155 |
|
gamdi_grot = coefdis/(real(nitergrot)-2.) |
156 |
|
ELSE |
157 |
|
gamdi_grot = 0. |
158 |
|
END IF |
159 |
|
IF (niterh/=2) THEN |
160 |
|
gamdi_h = coefdis/(real(niterh)-2.) |
161 |
|
ELSE |
162 |
|
gamdi_h = 0. |
163 |
|
END IF |
164 |
|
|
165 |
|
print *, 'gamdi_gdiv = ', gamdi_gdiv |
166 |
|
print *, "gamdi_grot = ", gamdi_grot |
167 |
|
print *, "gamdi_h = ", gamdi_h |
168 |
|
|
169 |
|
WRITE (6, 990) |
170 |
|
|
171 |
|
IF ( .NOT. fxyhypb) THEN |
172 |
|
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 |
181 |
|
print *, '*** Inigeom , Y = Latitude , der. sinusoid . ***' |
182 |
|
! 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) |
|
un4rad2 = 0.25*rad*rad |
|
|
|
|
|
! ------------------------------------------------------------- |
|
|
! ------------------------------------------------------------- |
|
|
! - |
|
|
! calcul des aires ( aire_2d,aireu_2d,airev_2d, 1./aire_2d, 1./airez ) |
|
|
! - et de fext_2d , force de coriolis extensive . |
|
|
! - |
|
|
! ------------------------------------------------------------- |
|
|
! ------------------------------------------------------------- |
|
|
|
|
|
|
|
|
|
|
|
! A 1 point scalaire P (i,j) de la grille, reguliere en (X,Y) , sont |
|
|
! affectees 4 aires entourant P , calculees respectivement aux points |
|
|
! ( i + 1/4, j - 1/4 ) : aireij1_2d (i,j) |
|
|
! ( i + 1/4, j + 1/4 ) : aireij2_2d (i,j) |
|
|
! ( i - 1/4, j + 1/4 ) : aireij3_2d (i,j) |
|
|
! ( i - 1/4, j - 1/4 ) : aireij4_2d (i,j) |
|
|
|
|
|
! , |
|
|
! Les cotes de chacun de ces 4 carres etant egaux a 1/2 suivant (X,Y). |
|
|
! Chaque aire centree en 1 point scalaire P(i,j) est egale a la somme |
|
|
! des 4 aires aireij1_2d,aireij2_2d,aireij3_2d,aireij4_2d qui sont affectees au |
|
|
! point (i,j) . |
|
|
! On definit en outre les coefficients alpha comme etant egaux a |
|
|
! (aireij / aire_2d), c.a.d par exp. alpha1_2d(i,j)=aireij1_2d(i,j)/aire_2d(i,j) |
|
|
|
|
|
! De meme, toute aire centree en 1 point U est egale a la somme des |
|
|
! 4 aires aireij1_2d,aireij2_2d,aireij3_2d,aireij4_2d entourant le point U. |
|
|
! Idem pour airev_2d, airez . |
|
|
|
|
|
! On a ,pour chaque maille : dX = dY = 1 |
|
|
|
|
|
|
|
|
! . V |
|
|
|
|
|
! aireij4_2d . . aireij1_2d |
|
|
|
|
|
! U . . P . U |
|
|
|
|
|
! aireij3_2d . . aireij2_2d |
|
|
|
|
|
! . V |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
! .................................................................... |
|
|
|
|
|
! Calcul des 4 aires elementaires aireij1_2d,aireij2_2d,aireij3_2d,aireij4_2d |
|
|
! qui entourent chaque aire_2d(i,j) , ainsi que les 4 elongations elementaires |
|
|
! cuij et les 4 elongat. cvij qui sont calculees aux memes |
|
|
! endroits que les aireij . |
|
|
|
|
|
! .................................................................... |
|
|
|
|
|
! ....... do 35 : boucle sur les jjm + 1 latitudes ..... |
|
|
|
|
|
|
|
|
DO j = 1, jjp1 |
|
|
|
|
|
IF (j==1) THEN |
|
|
|
|
|
yprm = yprimu1(j) |
|
|
rlatm = rlatu1(j) |
|
|
|
|
|
coslatm = cos(rlatm) |
|
|
radclatm = 0.5*rad*coslatm |
|
|
|
|
|
DO 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) |
|
|
end DO |
|
|
|
|
|
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. |
|
|
END DO |
|
|
|
|
|
END IF |
|
|
|
|
|
IF (j==jjp1) THEN |
|
|
yprp = yprimu2(j-1) |
|
|
rlatp = rlatu2(j-1) |
|
|
!cc yprp = fyprim( FLOAT(j) - 0.25 ) |
|
|
!cc rlatp = fy ( FLOAT(j) - 0.25 ) |
|
|
|
|
|
coslatp = cos(rlatp) |
|
|
radclatp = 0.5*rad*coslatp |
|
|
|
|
|
DO 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) |
|
|
end DO |
|
|
|
|
|
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. |
|
|
END DO |
|
|
|
|
|
END IF |
|
|
|
|
|
|
|
|
IF (j>1 .AND. j<jjp1) THEN |
|
|
|
|
|
rlatp = rlatu2(j-1) |
|
|
yprp = yprimu2(j-1) |
|
|
rlatm = rlatu1(j) |
|
|
yprm = yprimu1(j) |
|
|
!c rlatp = fy ( FLOAT(j) - 0.25 ) |
|
|
!c yprp = fyprim( FLOAT(j) - 0.25 ) |
|
|
!c rlatm = fy ( FLOAT(j) + 0.25 ) |
|
|
!c yprm = fyprim( FLOAT(j) + 0.25 ) |
|
|
|
|
|
coslatm = cos(rlatm) |
|
|
coslatp = cos(rlatp) |
|
|
radclatp = 0.5*rad*coslatp |
|
|
radclatm = 0.5*rad*coslatm |
|
|
|
|
|
DO 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) |
|
|
end DO |
|
|
|
|
|
END IF |
|
|
|
|
|
! ........ periodicite ............ |
|
|
|
|
|
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) |
|
|
|
|
|
end DO |
|
|
|
|
|
! .............................................................. |
|
|
|
|
|
DO j = 1, jjp1 |
|
|
DO 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) |
|
|
end DO |
|
|
|
|
|
|
|
|
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) |
|
|
end DO |
|
|
|
|
|
|
|
|
DO j = 1, jjp1 |
|
|
DO 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 |
|
|
end DO |
|
|
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) |
|
|
end DO |
|
|
|
|
|
|
|
|
DO j = 1, jjm |
|
|
|
|
|
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) |
|
|
END DO |
|
|
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 |
|
|
END DO |
|
|
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) |
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|
|
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|
end DO |
|
|
|
|
|
|
|
|
! ..... Calcul des elongations cu_2d,cv_2d, cvu ......... |
|
|
|
|
|
DO j = 1, jjm |
|
|
DO i = 1, iim |
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|
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)) |
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|
cuv(i,j) = 0.5*(cuij2(i,j)+cuij3(i,j)+cuij1(i,j+1)+cuij4(i,j+1)) |
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unscv2_2d(i,j) = 1./(cv_2d(i,j)*cv_2d(i,j)) |
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|
END DO |
|
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DO i = 1, iim |
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|
cuvsurcv_2d(i,j) = airev_2d(i,j)*unscv2_2d(i,j) |
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cvsurcuv_2d(i,j) = 1./cuvsurcv_2d(i,j) |
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|
cuvscvgam1_2d(i,j) = cuvsurcv_2d(i,j)**(-gamdi_gdiv) |
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cuvscvgam2_2d(i,j) = cuvsurcv_2d(i,j)**(-gamdi_h) |
|
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cvscuvgam_2d(i,j) = cvsurcuv_2d(i,j)**(-gamdi_grot) |
|
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END DO |
|
|
cv_2d(iip1,j) = cv_2d(1,j) |
|
|
cvu(iip1,j) = cvu(1,j) |
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unscv2_2d(iip1,j) = unscv2_2d(1,j) |
|
|
cuv(iip1,j) = cuv(1,j) |
|
|
cuvsurcv_2d(iip1,j) = cuvsurcv_2d(1,j) |
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cvsurcuv_2d(iip1,j) = cvsurcuv_2d(1,j) |
|
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cuvscvgam1_2d(iip1,j) = cuvscvgam1_2d(1,j) |
|
|
cuvscvgam2_2d(iip1,j) = cuvscvgam2_2d(1,j) |
|
|
cvscuvgam_2d(iip1,j) = cvscuvgam_2d(1,j) |
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|
END DO |
|
|
|
|
|
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) |
|
|
END DO |
|
|
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) |
|
|
END DO |
|
|
|
|
|
|
|
|
! .... calcul aux poles .... |
|
|
|
|
|
DO i = 1, iip1 |
|
|
cu_2d(i,1) = 0. |
|
|
unscu2_2d(i,1) = 0. |
|
|
cvu(i,1) = 0. |
|
|
|
|
|
cu_2d(i,jjp1) = 0. |
|
|
unscu2_2d(i,jjp1) = 0. |
|
|
cvu(i,jjp1) = 0. |
|
|
END DO |
|
|
|
|
|
! .............................................................. |
|
|
|
|
|
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) |
|
|
END DO |
|
|
airvscu2_2d(iip1,j) = airvscu2_2d(1,j) |
|
|
aivscu2gam_2d(iip1,j) = aivscu2gam_2d(1,j) |
|
|
END DO |
|
|
|
|
|
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) |
|
|
END DO |
|
|
airuscv2_2d(iip1,j) = airuscv2_2d(1,j) |
|
|
aiuscv2gam_2d(iip1,j) = aiuscv2gam_2d(1,j) |
|
|
END DO |
|
|
|
|
|
|
|
|
! calcul des aires aux poles : |
|
|
! ----------------------------- |
|
|
|
|
|
apoln = sum(aire_2d(:iim, 1)) |
|
|
apols = sum(aire_2d(:iim, jjp1)) |
|
|
unsapolnga1 = 1./(apoln**(-gamdi_gdiv)) |
|
|
unsapolsga1 = 1./(apols**(-gamdi_gdiv)) |
|
|
unsapolnga2 = 1./(apoln**(-gamdi_h)) |
|
|
unsapolsga2 = 1./(apols**(-gamdi_h)) |
|
|
|
|
|
!---------------------------------------------------------------- |
|
|
! gtitre='Coriolis version ancienne' |
|
|
! gfichier='fext1' |
|
|
! CALL writestd(fext_2d,iip1*jjm) |
|
|
|
|
|
! changement F. Hourdin calcul conservatif pour fext_2d |
|
|
! constang_2d contient le produit a * cos ( latitude ) * omega |
|
|
|
|
|
DO i = 1, iim |
|
|
constang_2d(i,1) = 0. |
|
|
END DO |
|
|
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)) |
|
|
END DO |
|
|
END DO |
|
|
DO i = 1, iim |
|
|
constang_2d(i,jjp1) = 0. |
|
|
END DO |
|
|
|
|
|
! periodicite en longitude |
|
|
|
|
|
DO j = 1, jjm |
|
|
fext_2d(iip1,j) = fext_2d(1,j) |
|
|
END DO |
|
|
DO j = 1, jjp1 |
|
|
constang_2d(iip1,j) = constang_2d(1,j) |
|
|
END DO |
|
|
|
|
|
! fin du changement |
|
|
|
|
|
|
|
|
!---------------------------------------------------------------- |
|
|
|
|
|
WRITE (6,*) ' *** Coordonnees de la grille *** ' |
|
|
WRITE (6,995) |
|
|
|
|
|
WRITE (6,*) ' LONGITUDES aux pts. V ( degres ) ' |
|
|
WRITE (6,995) |
|
|
DO i = 1, iip1 |
|
|
rlonvv(i) = rlonv(i)*180./pi |
|
|
END DO |
|
|
WRITE (6,400) rlonvv |
|
|
|
|
|
WRITE (6,995) |
|
|
WRITE (6,*) ' LATITUDES aux pts. V ( degres ) ' |
|
|
WRITE (6,995) |
|
|
DO i = 1, jjm |
|
|
rlatuu(i) = rlatv(i)*180./pi |
|
|
END DO |
|
|
WRITE (6,400) (rlatuu(i),i=1,jjm) |
|
|
|
|
|
DO i = 1, iip1 |
|
|
rlonvv(i) = rlonu(i)*180./pi |
|
|
END DO |
|
|
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 |
|
|
END DO |
|
|
WRITE (6,400) (rlatuu(i),i=1,jjp1) |
|
|
WRITE (6,995) |
|
|
|
|
|
400 FORMAT (1X,8F8.2) |
|
612 |
990 FORMAT (//) |
990 FORMAT (//) |
613 |
995 FORMAT (/) |
995 FORMAT (/) |
614 |
|
|
615 |
END SUBROUTINE inigeom |
END SUBROUTINE inigeom |
616 |
|
|
617 |
|
end module inigeom_m |