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guez |
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! $Header: /home/cvsroot/LMDZ4/libf/phylmd/vdif_kcay.F,v 1.1 2004/06/22 11:45:36 lmdzadmin Exp $ |
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! |
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SUBROUTINE vdif_kcay(ngrid,dt,g,rconst,plev,temp |
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s ,zlev,zlay,u,v,teta,cd,q2,q2diag,km,kn,ustar |
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s ,l_mix) |
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use dimens_m |
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use dimphy |
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IMPLICIT NONE |
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c....................................................................... |
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c....................................................................... |
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c |
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c dt : pas de temps |
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c g : g |
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c zlev : altitude a chaque niveau (interface inferieure de la couche |
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c de meme indice) |
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c zlay : altitude au centre de chaque couche |
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c u,v : vitesse au centre de chaque couche |
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c (en entree : la valeur au debut du pas de temps) |
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c teta : temperature potentielle au centre de chaque couche |
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c (en entree : la valeur au debut du pas de temps) |
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c cd : cdrag |
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c (en entree : la valeur au debut du pas de temps) |
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c q2 : $q^2$ au bas de chaque couche |
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c (en entree : la valeur au debut du pas de temps) |
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c (en sortie : la valeur a la fin du pas de temps) |
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c km : diffusivite turbulente de quantite de mouvement (au bas de chaque |
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c couche) |
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c (en sortie : la valeur a la fin du pas de temps) |
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c kn : diffusivite turbulente des scalaires (au bas de chaque couche) |
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c (en sortie : la valeur a la fin du pas de temps) |
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c |
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c....................................................................... |
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REAL dt,g,rconst |
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real plev(klon,klev+1),temp(klon,klev) |
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real ustar(klon),snstable |
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REAL zlev(klon,klev+1) |
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REAL zlay(klon,klev) |
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REAL u(klon,klev) |
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REAL v(klon,klev) |
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REAL teta(klon,klev) |
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REAL cd(klon) |
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REAL q2(klon,klev+1),q2s(klon,klev+1) |
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REAL q2diag(klon,klev+1) |
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REAL km(klon,klev+1) |
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REAL kn(klon,klev+1) |
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real sq(klon),sqz(klon),zz(klon,klev+1),zq,long0(klon) |
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integer l_mix,iii |
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c....................................................................... |
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c |
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c nlay : nombre de couches |
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c nlev : nombre de niveaux |
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c ngrid : nombre de points de grille |
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c unsdz : 1 sur l'epaisseur de couche |
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c unsdzdec : 1 sur la distance entre le centre de la couche et le |
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c centre de la couche inferieure |
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c q : echelle de vitesse au bas de chaque couche |
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c (valeur a la fin du pas de temps) |
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c |
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c....................................................................... |
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INTEGER nlay,nlev,ngrid |
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REAL unsdz(klon,klev) |
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REAL unsdzdec(klon,klev+1) |
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REAL q(klon,klev+1) |
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c....................................................................... |
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c |
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c kmpre : km au debut du pas de temps |
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c qcstat : q : solution stationnaire du probleme couple |
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c (valeur a la fin du pas de temps) |
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c q2cstat : q2 : solution stationnaire du probleme couple |
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c (valeur a la fin du pas de temps) |
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c |
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c....................................................................... |
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REAL kmpre(klon,klev+1) |
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REAL qcstat |
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REAL q2cstat |
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real sss,sssq |
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c....................................................................... |
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c |
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c long : longueur de melange calculee selon Blackadar |
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c |
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c....................................................................... |
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REAL long(klon,klev+1) |
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c....................................................................... |
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c |
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c kmq3 : terme en q^3 dans le developpement de km |
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c (valeur au debut du pas de temps) |
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c kmcstat : valeur de km solution stationnaire du systeme {q2 ; du/dz} |
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c (valeur a la fin du pas de temps) |
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c knq3 : terme en q^3 dans le developpement de kn |
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c mcstat : valeur de m solution stationnaire du systeme {q2 ; du/dz} |
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c (valeur a la fin du pas de temps) |
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c m2cstat : valeur de m2 solution stationnaire du systeme {q2 ; du/dz} |
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c (valeur a la fin du pas de temps) |
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c m : valeur a la fin du pas de temps |
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c mpre : valeur au debut du pas de temps |
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c m2 : valeur a la fin du pas de temps |
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c n2 : valeur a la fin du pas de temps |
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c |
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c....................................................................... |
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REAL kmq3 |
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REAL kmcstat |
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REAL knq3 |
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REAL mcstat |
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REAL m2cstat |
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REAL m(klon,klev+1) |
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REAL mpre(klon,klev+1) |
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REAL m2(klon,klev+1) |
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REAL n2(klon,klev+1) |
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c....................................................................... |
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c |
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c gn : intermediaire pour les coefficients de stabilite |
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c gnmin : borne inferieure de gn (-0.23 ou -0.28) |
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c gnmax : borne superieure de gn (0.0233) |
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c gninf : vrai si gn est en dessous de sa borne inferieure |
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c gnsup : vrai si gn est en dessus de sa borne superieure |
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c gm : drole d'objet bien utile |
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c ri : nombre de Richardson |
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c sn : coefficient de stabilite pour n |
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c snq2 : premier terme du developement limite de sn en q2 |
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c sm : coefficient de stabilite pour m |
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c smq2 : premier terme du developement limite de sm en q2 |
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c |
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c....................................................................... |
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REAL gn |
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REAL gnmin |
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REAL gnmax |
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LOGICAL gninf |
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LOGICAL gnsup |
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REAL gm |
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c REAL ri(klon,klev+1) |
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REAL sn(klon,klev+1) |
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REAL snq2(klon,klev+1) |
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REAL sm(klon,klev+1) |
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REAL smq2(klon,klev+1) |
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c....................................................................... |
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c |
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c kappa : consatnte de Von Karman (0.4) |
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c long00 : longueur de reference pour le calcul de long (160) |
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c a1,a2,b1,b2,c1 : constantes d'origine pour les coefficients |
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c de stabilite (0.92/0.74/16.6/10.1/0.08) |
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c cn1,cn2 : constantes pour sn |
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c cm1,cm2,cm3,cm4 : constantes pour sm |
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c |
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c....................................................................... |
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REAL kappa |
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REAL long00 |
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REAL a1,a2,b1,b2,c1 |
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REAL cn1,cn2 |
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REAL cm1,cm2,cm3,cm4 |
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c....................................................................... |
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c |
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c termq : termes en $q$ dans l'equation de q2 |
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c termq3 : termes en $q^3$ dans l'equation de q2 |
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c termqm2 : termes en $q*m^2$ dans l'equation de q2 |
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c termq3m2 : termes en $q^3*m^2$ dans l'equation de q2 |
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c |
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c....................................................................... |
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REAL termq |
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REAL termq3 |
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REAL termqm2 |
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REAL termq3m2 |
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c....................................................................... |
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c |
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c q2min : borne inferieure de q2 |
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c q2max : borne superieure de q2 |
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c |
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c....................................................................... |
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REAL q2min |
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REAL q2max |
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c....................................................................... |
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c knmin : borne inferieure de kn |
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c kmmin : borne inferieure de km |
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c....................................................................... |
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REAL knmin |
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REAL kmmin |
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c....................................................................... |
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INTEGER ilay,ilev,igrid |
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REAL tmp1,tmp2 |
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c....................................................................... |
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PARAMETER (kappa=0.4E+0) |
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PARAMETER (long00=160.E+0) |
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c PARAMETER (gnmin=-10.E+0) |
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PARAMETER (gnmin=-0.28) |
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PARAMETER (gnmax=0.0233E+0) |
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PARAMETER (a1=0.92E+0) |
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PARAMETER (a2=0.74E+0) |
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PARAMETER (b1=16.6E+0) |
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PARAMETER (b2=10.1E+0) |
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PARAMETER (c1=0.08E+0) |
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PARAMETER (knmin=1.E-5) |
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PARAMETER (kmmin=1.E-5) |
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PARAMETER (q2min=1.e-5) |
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PARAMETER (q2max=1.E+2) |
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PARAMETER (nlay=klev) |
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PARAMETER (nlev=klev+1) |
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c |
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PARAMETER ( |
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& cn1=a2*(1.E+0 -6.E+0 *a1/b1) |
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& ) |
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PARAMETER ( |
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& cn2=-3.E+0 *a2*(6.E+0 *a1+b2) |
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& ) |
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PARAMETER ( |
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& cm1=a1*(1.E+0 -3.E+0 *c1-6.E+0 *a1/b1) |
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& ) |
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PARAMETER ( |
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& cm2=a1*(-3.E+0 *a2*((b2-3.E+0 *a2)*(1.E+0 -6.E+0 *a1/b1) |
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& -3.E+0 *c1*(b2+6.E+0 *a1))) |
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& ) |
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PARAMETER ( |
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& cm3=-3.E+0 *a2*(6.E+0 *a1+b2) |
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& ) |
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PARAMETER ( |
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& cm4=-9.E+0 *a1*a2 |
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& ) |
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logical first |
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save first |
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data first/.true./ |
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c....................................................................... |
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c traitment des valeur de q2 en entree |
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c....................................................................... |
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c |
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c Initialisation de q2 |
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call yamada(ngrid,dt,g,rconst,plev,temp |
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s ,zlev,zlay,u,v,teta,cd,q2diag,km,kn,ustar |
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s ,l_mix) |
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if (first.and.1.eq.1) then |
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first=.false. |
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q2=q2diag |
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endif |
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DO ilev=1,nlev |
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DO igrid=1,ngrid |
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q2(igrid,ilev)=amax1(q2(igrid,ilev),q2min) |
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q(igrid,ilev)=sqrt(q2(igrid,ilev)) |
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ENDDO |
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ENDDO |
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c |
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DO igrid=1,ngrid |
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tmp1=cd(igrid)*(u(igrid,1)**2+v(igrid,1)**2) |
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q2(igrid,1)=b1**(2.E+0/3.E+0)*tmp1 |
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q2(igrid,1)=amax1(q2(igrid,1),q2min) |
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q(igrid,1)=sqrt(q2(igrid,1)) |
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ENDDO |
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c |
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c....................................................................... |
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c les increments verticaux |
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c....................................................................... |
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c |
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c!!!!! allerte !!!!!c |
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c!!!!! zlev n'est pas declare a nlev !!!!!c |
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c!!!!! ----> |
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DO igrid=1,ngrid |
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zlev(igrid,nlev)=zlay(igrid,nlay) |
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& +( zlay(igrid,nlay) - zlev(igrid,nlev-1) ) |
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ENDDO |
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c!!!!! <---- |
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c!!!!! allerte !!!!!c |
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c |
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DO ilay=1,nlay |
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DO igrid=1,ngrid |
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unsdz(igrid,ilay)=1.E+0/(zlev(igrid,ilay+1)-zlev(igrid,ilay)) |
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ENDDO |
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ENDDO |
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DO igrid=1,ngrid |
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unsdzdec(igrid,1)=1.E+0/(zlay(igrid,1)-zlev(igrid,1)) |
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ENDDO |
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DO ilay=2,nlay |
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DO igrid=1,ngrid |
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unsdzdec(igrid,ilay)=1.E+0/(zlay(igrid,ilay)-zlay(igrid,ilay-1)) |
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ENDDO |
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ENDDO |
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DO igrid=1,ngrid |
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unsdzdec(igrid,nlay+1)=1.E+0/(zlev(igrid,nlay+1)-zlay(igrid,nlay)) |
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ENDDO |
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c |
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c....................................................................... |
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c le cisaillement et le gradient de temperature |
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c....................................................................... |
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c |
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DO igrid=1,ngrid |
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m2(igrid,1)=(unsdzdec(igrid,1) |
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& *u(igrid,1))**2 |
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& +(unsdzdec(igrid,1) |
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& *v(igrid,1))**2 |
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m(igrid,1)=sqrt(m2(igrid,1)) |
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mpre(igrid,1)=m(igrid,1) |
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ENDDO |
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c |
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c----------------------------------------------------------------------- |
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DO ilev=2,nlev-1 |
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DO igrid=1,ngrid |
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c----------------------------------------------------------------------- |
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c |
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n2(igrid,ilev)=g*unsdzdec(igrid,ilev) |
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& *(teta(igrid,ilev)-teta(igrid,ilev-1)) |
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& /(teta(igrid,ilev)+teta(igrid,ilev-1)) *2.E+0 |
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c n2(igrid,ilev)=0. |
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c |
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c ---> |
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c on ne sais traiter que les cas stratifies. et l'ajustement |
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c convectif est cense faire en sorte que seul des configurations |
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c stratifiees soient rencontrees en entree de cette routine. |
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c mais, bon ... on sait jamais (meme on sait que n2 prends |
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c quelques valeurs negatives ... parfois) alors : |
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c<--- |
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c |
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IF (n2(igrid,ilev).lt.0.E+0) THEN |
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n2(igrid,ilev)=0.E+0 |
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ENDIF |
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c |
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m2(igrid,ilev)=(unsdzdec(igrid,ilev) |
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& *(u(igrid,ilev)-u(igrid,ilev-1)))**2 |
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& +(unsdzdec(igrid,ilev) |
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& *(v(igrid,ilev)-v(igrid,ilev-1)))**2 |
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m(igrid,ilev)=sqrt(m2(igrid,ilev)) |
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mpre(igrid,ilev)=m(igrid,ilev) |
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c |
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c----------------------------------------------------------------------- |
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ENDDO |
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ENDDO |
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c----------------------------------------------------------------------- |
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c |
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DO igrid=1,ngrid |
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m2(igrid,nlev)=m2(igrid,nlev-1) |
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m(igrid,nlev)=m(igrid,nlev-1) |
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mpre(igrid,nlev)=m(igrid,nlev) |
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ENDDO |
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c |
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c....................................................................... |
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c calcul des fonctions de stabilite |
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|
|
c....................................................................... |
| 338 |
|
|
c |
| 339 |
|
|
if (l_mix.eq.4) then |
| 340 |
|
|
DO igrid=1,ngrid |
| 341 |
|
|
sqz(igrid)=1.e-10 |
| 342 |
|
|
sq(igrid)=1.e-10 |
| 343 |
|
|
ENDDO |
| 344 |
|
|
do ilev=2,nlev-1 |
| 345 |
|
|
DO igrid=1,ngrid |
| 346 |
|
|
zq=sqrt(q2(igrid,ilev)) |
| 347 |
|
|
sqz(igrid) |
| 348 |
|
|
. =sqz(igrid)+zq*zlev(igrid,ilev) |
| 349 |
|
|
. *(zlay(igrid,ilev)-zlay(igrid,ilev-1)) |
| 350 |
|
|
sq(igrid)=sq(igrid)+zq*(zlay(igrid,ilev)-zlay(igrid,ilev-1)) |
| 351 |
|
|
ENDDO |
| 352 |
|
|
enddo |
| 353 |
|
|
DO igrid=1,ngrid |
| 354 |
|
|
long0(igrid)=0.2*sqz(igrid)/sq(igrid) |
| 355 |
|
|
ENDDO |
| 356 |
|
|
else if (l_mix.eq.3) then |
| 357 |
|
|
long0(igrid)=long00 |
| 358 |
|
|
endif |
| 359 |
|
|
|
| 360 |
|
|
c (abd 5 2) print*,'LONG0=',long0 |
| 361 |
|
|
|
| 362 |
|
|
c----------------------------------------------------------------------- |
| 363 |
|
|
DO ilev=2,nlev-1 |
| 364 |
|
|
DO igrid=1,ngrid |
| 365 |
|
|
c----------------------------------------------------------------------- |
| 366 |
|
|
c |
| 367 |
|
|
tmp1=kappa*(zlev(igrid,ilev)-zlev(igrid,1)) |
| 368 |
|
|
if (l_mix.ge.10) then |
| 369 |
|
|
long(igrid,ilev)=l_mix |
| 370 |
|
|
else |
| 371 |
|
|
long(igrid,ilev)=tmp1/(1.E+0 + tmp1/long0(igrid)) |
| 372 |
|
|
endif |
| 373 |
|
|
long(igrid,ilev)=max(min(long(igrid,ilev) |
| 374 |
|
|
s ,0.5*sqrt(q2(igrid,ilev))/sqrt(max(n2(igrid,ilev),1.e-10))) |
| 375 |
|
|
s ,5.) |
| 376 |
|
|
|
| 377 |
|
|
gn=-long(igrid,ilev)**2 / q2(igrid,ilev) |
| 378 |
|
|
& * n2(igrid,ilev) |
| 379 |
|
|
gm=long(igrid,ilev)**2 / q2(igrid,ilev) |
| 380 |
|
|
& * m2(igrid,ilev) |
| 381 |
|
|
c |
| 382 |
|
|
gninf=.false. |
| 383 |
|
|
gnsup=.false. |
| 384 |
|
|
long(igrid,ilev)=long(igrid,ilev) |
| 385 |
|
|
long(igrid,ilev)=long(igrid,ilev) |
| 386 |
|
|
c |
| 387 |
|
|
IF (gn.lt.gnmin) THEN |
| 388 |
|
|
gninf=.true. |
| 389 |
|
|
gn=gnmin |
| 390 |
|
|
ENDIF |
| 391 |
|
|
c |
| 392 |
|
|
IF (gn.gt.gnmax) THEN |
| 393 |
|
|
gnsup=.true. |
| 394 |
|
|
gn=gnmax |
| 395 |
|
|
ENDIF |
| 396 |
|
|
c |
| 397 |
|
|
sn(igrid,ilev)=cn1/(1.E+0 +cn2*gn) |
| 398 |
|
|
sm(igrid,ilev)= |
| 399 |
|
|
& (cm1+cm2*gn) |
| 400 |
|
|
& /( (1.E+0 +cm3*gn) |
| 401 |
|
|
& *(1.E+0 +cm4*gn) ) |
| 402 |
|
|
c |
| 403 |
|
|
IF ((gninf).or.(gnsup)) THEN |
| 404 |
|
|
snq2(igrid,ilev)=0.E+0 |
| 405 |
|
|
smq2(igrid,ilev)=0.E+0 |
| 406 |
|
|
ELSE |
| 407 |
|
|
snq2(igrid,ilev)= |
| 408 |
|
|
& -gn |
| 409 |
|
|
& *(-cn1*cn2/(1.E+0 +cn2*gn)**2 ) |
| 410 |
|
|
smq2(igrid,ilev)= |
| 411 |
|
|
& -gn |
| 412 |
|
|
& *( cm2*(1.E+0 +cm3*gn) |
| 413 |
|
|
& *(1.E+0 +cm4*gn) |
| 414 |
|
|
& -( cm3*(1.E+0 +cm4*gn) |
| 415 |
|
|
& +cm4*(1.E+0 +cm3*gn) ) |
| 416 |
|
|
& *(cm1+cm2*gn) ) |
| 417 |
|
|
& /( (1.E+0 +cm3*gn) |
| 418 |
|
|
& *(1.E+0 +cm4*gn) )**2 |
| 419 |
|
|
ENDIF |
| 420 |
|
|
c |
| 421 |
|
|
c abd |
| 422 |
|
|
c if(ilev.le.57.and.ilev.ge.37) then |
| 423 |
|
|
c print*,'L=',ilev,' GN=',gn,' SM=',sm(igrid,ilev) |
| 424 |
|
|
c endif |
| 425 |
|
|
c ---> |
| 426 |
|
|
c la decomposition de Taylor en q2 n'a de sens que |
| 427 |
|
|
c dans les cas stratifies ou sn et sm sont quasi |
| 428 |
|
|
c proportionnels a q2. ailleurs on laisse le meme |
| 429 |
|
|
c algorithme car l'ajustement convectif fait le travail. |
| 430 |
|
|
c mais c'est delirant quand sn et snq2 n'ont pas le meme |
| 431 |
|
|
c signe : dans ces cas, on ne fait pas la decomposition. |
| 432 |
|
|
c<--- |
| 433 |
|
|
c |
| 434 |
|
|
IF (snq2(igrid,ilev)*sn(igrid,ilev).le.0.E+0) |
| 435 |
|
|
& snq2(igrid,ilev)=0.E+0 |
| 436 |
|
|
IF (smq2(igrid,ilev)*sm(igrid,ilev).le.0.E+0) |
| 437 |
|
|
& smq2(igrid,ilev)=0.E+0 |
| 438 |
|
|
c |
| 439 |
|
|
C Correction pour les couches stables. |
| 440 |
|
|
C Schema repris de JHoltzlag Boville, lui meme venant de... |
| 441 |
|
|
|
| 442 |
|
|
if (1.eq.1) then |
| 443 |
|
|
snstable=1.-zlev(igrid,ilev) |
| 444 |
|
|
s /(700.*max(ustar(igrid),0.0001)) |
| 445 |
|
|
snstable=1.-zlev(igrid,ilev)/400. |
| 446 |
|
|
snstable=max(snstable,0.) |
| 447 |
|
|
snstable=snstable*snstable |
| 448 |
|
|
|
| 449 |
|
|
c abde print*,'SN ',ilev,sn(1,ilev),snstable |
| 450 |
|
|
if (sn(igrid,ilev).lt.snstable) then |
| 451 |
|
|
sn(igrid,ilev)=snstable |
| 452 |
|
|
snq2(igrid,ilev)=0. |
| 453 |
|
|
endif |
| 454 |
|
|
|
| 455 |
|
|
if (sm(igrid,ilev).lt.snstable) then |
| 456 |
|
|
sm(igrid,ilev)=snstable |
| 457 |
|
|
smq2(igrid,ilev)=0. |
| 458 |
|
|
endif |
| 459 |
|
|
|
| 460 |
|
|
endif |
| 461 |
|
|
|
| 462 |
|
|
c sn : coefficient de stabilite pour n |
| 463 |
|
|
c snq2 : premier terme du developement limite de sn en q2 |
| 464 |
|
|
c----------------------------------------------------------------------- |
| 465 |
|
|
ENDDO |
| 466 |
|
|
ENDDO |
| 467 |
|
|
c----------------------------------------------------------------------- |
| 468 |
|
|
c |
| 469 |
|
|
c....................................................................... |
| 470 |
|
|
c calcul de km et kn au debut du pas de temps |
| 471 |
|
|
c....................................................................... |
| 472 |
|
|
c |
| 473 |
|
|
DO igrid=1,ngrid |
| 474 |
|
|
kn(igrid,1)=knmin |
| 475 |
|
|
km(igrid,1)=kmmin |
| 476 |
|
|
kmpre(igrid,1)=km(igrid,1) |
| 477 |
|
|
ENDDO |
| 478 |
|
|
c |
| 479 |
|
|
c----------------------------------------------------------------------- |
| 480 |
|
|
DO ilev=2,nlev-1 |
| 481 |
|
|
DO igrid=1,ngrid |
| 482 |
|
|
c----------------------------------------------------------------------- |
| 483 |
|
|
c |
| 484 |
|
|
kn(igrid,ilev)=long(igrid,ilev)*q(igrid,ilev) |
| 485 |
|
|
& *sn(igrid,ilev) |
| 486 |
|
|
km(igrid,ilev)=long(igrid,ilev)*q(igrid,ilev) |
| 487 |
|
|
& *sm(igrid,ilev) |
| 488 |
|
|
kmpre(igrid,ilev)=km(igrid,ilev) |
| 489 |
|
|
c |
| 490 |
|
|
c----------------------------------------------------------------------- |
| 491 |
|
|
ENDDO |
| 492 |
|
|
ENDDO |
| 493 |
|
|
c----------------------------------------------------------------------- |
| 494 |
|
|
c |
| 495 |
|
|
DO igrid=1,ngrid |
| 496 |
|
|
kn(igrid,nlev)=kn(igrid,nlev-1) |
| 497 |
|
|
km(igrid,nlev)=km(igrid,nlev-1) |
| 498 |
|
|
kmpre(igrid,nlev)=km(igrid,nlev) |
| 499 |
|
|
ENDDO |
| 500 |
|
|
c |
| 501 |
|
|
c....................................................................... |
| 502 |
|
|
c boucle sur les niveaux 2 a nlev-1 |
| 503 |
|
|
c....................................................................... |
| 504 |
|
|
c |
| 505 |
|
|
c----> |
| 506 |
|
|
DO 10001 ilev=2,nlev-1 |
| 507 |
|
|
c----> |
| 508 |
|
|
DO 10002 igrid=1,ngrid |
| 509 |
|
|
c |
| 510 |
|
|
c....................................................................... |
| 511 |
|
|
c |
| 512 |
|
|
c calcul des termes sources et puits de l'equation de q2 |
| 513 |
|
|
c ------------------------------------------------------ |
| 514 |
|
|
c |
| 515 |
|
|
knq3=kn(igrid,ilev)*snq2(igrid,ilev) |
| 516 |
|
|
& /sn(igrid,ilev) |
| 517 |
|
|
kmq3=km(igrid,ilev)*smq2(igrid,ilev) |
| 518 |
|
|
& /sm(igrid,ilev) |
| 519 |
|
|
c |
| 520 |
|
|
termq=0.E+0 |
| 521 |
|
|
termq3=0.E+0 |
| 522 |
|
|
termqm2=0.E+0 |
| 523 |
|
|
termq3m2=0.E+0 |
| 524 |
|
|
c |
| 525 |
|
|
tmp1=dt*2.E+0 *km(igrid,ilev)*m2(igrid,ilev) |
| 526 |
|
|
tmp2=dt*2.E+0 *kmq3*m2(igrid,ilev) |
| 527 |
|
|
termqm2=termqm2 |
| 528 |
|
|
& +dt*2.E+0 *km(igrid,ilev)*m2(igrid,ilev) |
| 529 |
|
|
& -dt*2.E+0 *kmq3*m2(igrid,ilev) |
| 530 |
|
|
termq3m2=termq3m2 |
| 531 |
|
|
& +dt*2.E+0 *kmq3*m2(igrid,ilev) |
| 532 |
|
|
c |
| 533 |
|
|
termq=termq |
| 534 |
|
|
& -dt*2.E+0 *kn(igrid,ilev)*n2(igrid,ilev) |
| 535 |
|
|
& +dt*2.E+0 *knq3*n2(igrid,ilev) |
| 536 |
|
|
termq3=termq3 |
| 537 |
|
|
& -dt*2.E+0 *knq3*n2(igrid,ilev) |
| 538 |
|
|
c |
| 539 |
|
|
termq3=termq3 |
| 540 |
|
|
& -dt*2.E+0 *q(igrid,ilev)**3 / (b1*long(igrid,ilev)) |
| 541 |
|
|
c |
| 542 |
|
|
c....................................................................... |
| 543 |
|
|
c |
| 544 |
|
|
c resolution stationnaire couplee avec le gradient de vitesse local |
| 545 |
|
|
c ----------------------------------------------------------------- |
| 546 |
|
|
c |
| 547 |
|
|
c -----{on cherche le cisaillement qui annule l'equation de q^2 |
| 548 |
|
|
c supposee en q3} |
| 549 |
|
|
c |
| 550 |
|
|
tmp1=termq+termq3 |
| 551 |
|
|
tmp2=termqm2+termq3m2 |
| 552 |
|
|
m2cstat=m2(igrid,ilev) |
| 553 |
|
|
& -(tmp1+tmp2)/(dt*2.E+0*km(igrid,ilev)) |
| 554 |
|
|
mcstat=sqrt(m2cstat) |
| 555 |
|
|
|
| 556 |
|
|
c abde print*,'M2 L=',ilev,mpre(igrid,ilev),mcstat |
| 557 |
|
|
c |
| 558 |
|
|
c -----{puis on ecrit la valeur de q qui annule l'equation de m |
| 559 |
|
|
c supposee en q3} |
| 560 |
|
|
c |
| 561 |
|
|
IF (ilev.eq.2) THEN |
| 562 |
|
|
kmcstat=1.E+0 / mcstat |
| 563 |
|
|
& *( unsdz(igrid,ilev)*kmpre(igrid,ilev+1) |
| 564 |
|
|
& *mpre(igrid,ilev+1) |
| 565 |
|
|
& +unsdz(igrid,ilev-1) |
| 566 |
|
|
& *cd(igrid) |
| 567 |
|
|
& *( sqrt(u(igrid,3)**2+v(igrid,3)**2) |
| 568 |
|
|
& -mcstat/unsdzdec(igrid,ilev) |
| 569 |
|
|
& -mpre(igrid,ilev+1)/unsdzdec(igrid,ilev+1) )**2) |
| 570 |
|
|
& /( unsdz(igrid,ilev)+unsdz(igrid,ilev-1) ) |
| 571 |
|
|
ELSE |
| 572 |
|
|
kmcstat=1.E+0 / mcstat |
| 573 |
|
|
& *( unsdz(igrid,ilev)*kmpre(igrid,ilev+1) |
| 574 |
|
|
& *mpre(igrid,ilev+1) |
| 575 |
|
|
& +unsdz(igrid,ilev-1)*kmpre(igrid,ilev-1) |
| 576 |
|
|
& *mpre(igrid,ilev-1) ) |
| 577 |
|
|
& /( unsdz(igrid,ilev)+unsdz(igrid,ilev-1) ) |
| 578 |
|
|
ENDIF |
| 579 |
|
|
tmp2=kmcstat |
| 580 |
|
|
& /( sm(igrid,ilev)/q2(igrid,ilev) ) |
| 581 |
|
|
& /long(igrid,ilev) |
| 582 |
|
|
qcstat=tmp2**(1.E+0/3.E+0) |
| 583 |
|
|
q2cstat=qcstat**2 |
| 584 |
|
|
c |
| 585 |
|
|
c....................................................................... |
| 586 |
|
|
c |
| 587 |
|
|
c choix de la solution finale |
| 588 |
|
|
c --------------------------- |
| 589 |
|
|
c |
| 590 |
|
|
q(igrid,ilev)=qcstat |
| 591 |
|
|
q2(igrid,ilev)=q2cstat |
| 592 |
|
|
m(igrid,ilev)=mcstat |
| 593 |
|
|
c abd if(ilev.le.57.and.ilev.ge.37) then |
| 594 |
|
|
c print*,'L=',ilev,' M2=',m2(igrid,ilev),m2cstat, |
| 595 |
|
|
c s 'N2=',n2(igrid,ilev) |
| 596 |
|
|
c abd endif |
| 597 |
|
|
m2(igrid,ilev)=m2cstat |
| 598 |
|
|
c |
| 599 |
|
|
c ---> |
| 600 |
|
|
c pour des raisons simples q2 est minore |
| 601 |
|
|
c<--- |
| 602 |
|
|
c |
| 603 |
|
|
IF (q2(igrid,ilev).lt.q2min) THEN |
| 604 |
|
|
q2(igrid,ilev)=q2min |
| 605 |
|
|
q(igrid,ilev)=sqrt(q2min) |
| 606 |
|
|
ENDIF |
| 607 |
|
|
c |
| 608 |
|
|
c....................................................................... |
| 609 |
|
|
c |
| 610 |
|
|
c calcul final de kn et km |
| 611 |
|
|
c ------------------------ |
| 612 |
|
|
c |
| 613 |
|
|
gn=-long(igrid,ilev)**2 / q2(igrid,ilev) |
| 614 |
|
|
& * n2(igrid,ilev) |
| 615 |
|
|
IF (gn.lt.gnmin) gn=gnmin |
| 616 |
|
|
IF (gn.gt.gnmax) gn=gnmax |
| 617 |
|
|
sn(igrid,ilev)=cn1/(1.E+0 +cn2*gn) |
| 618 |
|
|
sm(igrid,ilev)= |
| 619 |
|
|
& (cm1+cm2*gn) |
| 620 |
|
|
& /( (1.E+0 +cm3*gn)*(1.E+0 +cm4*gn) ) |
| 621 |
|
|
kn(igrid,ilev)=long(igrid,ilev)*q(igrid,ilev) |
| 622 |
|
|
& *sn(igrid,ilev) |
| 623 |
|
|
km(igrid,ilev)=long(igrid,ilev)*q(igrid,ilev) |
| 624 |
|
|
& *sm(igrid,ilev) |
| 625 |
|
|
c abd |
| 626 |
|
|
c if(ilev.le.57.and.ilev.ge.37) then |
| 627 |
|
|
c print*,'L=',ilev,' GN=',gn,' SM=',sm(igrid,ilev) |
| 628 |
|
|
c endif |
| 629 |
|
|
c |
| 630 |
|
|
c....................................................................... |
| 631 |
|
|
c |
| 632 |
|
|
10002 CONTINUE |
| 633 |
|
|
c |
| 634 |
|
|
10001 CONTINUE |
| 635 |
|
|
c |
| 636 |
|
|
c....................................................................... |
| 637 |
|
|
c |
| 638 |
|
|
c |
| 639 |
|
|
DO igrid=1,ngrid |
| 640 |
|
|
kn(igrid,1)=knmin |
| 641 |
|
|
km(igrid,1)=kmmin |
| 642 |
|
|
c kn(igrid,1)=cd(igrid) |
| 643 |
|
|
c km(igrid,1)=cd(igrid) |
| 644 |
|
|
q2(igrid,nlev)=q2(igrid,nlev-1) |
| 645 |
|
|
q(igrid,nlev)=q(igrid,nlev-1) |
| 646 |
|
|
kn(igrid,nlev)=kn(igrid,nlev-1) |
| 647 |
|
|
km(igrid,nlev)=km(igrid,nlev-1) |
| 648 |
|
|
ENDDO |
| 649 |
|
|
c |
| 650 |
|
|
c CALCUL DE LA DIFFUSION VERTICALE DE Q2 |
| 651 |
|
|
if (1.eq.1) then |
| 652 |
|
|
|
| 653 |
|
|
do ilev=2,klev-1 |
| 654 |
|
|
sss=sss+plev(1,ilev-1)-plev(1,ilev+1) |
| 655 |
|
|
sssq=sssq+(plev(1,ilev-1)-plev(1,ilev+1))*q2(1,ilev) |
| 656 |
|
|
enddo |
| 657 |
|
|
c print*,'Q2moy avant',sssq/sss |
| 658 |
|
|
c print*,'Q2q20 ',(q2(1,ilev),ilev=1,10) |
| 659 |
|
|
c print*,'Q2km0 ',(km(1,ilev),ilev=1,10) |
| 660 |
|
|
c ! C'est quoi ca qu'etait dans l'original??? |
| 661 |
|
|
c do igrid=1,ngrid |
| 662 |
|
|
c q2(igrid,1)=10. |
| 663 |
|
|
c enddo |
| 664 |
|
|
c q2s=q2 |
| 665 |
|
|
c do iii=1,10 |
| 666 |
|
|
c call vdif_q2(dt,g,rconst,plev,temp,km,q2) |
| 667 |
|
|
c do ilev=1,klev+1 |
| 668 |
|
|
c write(iii+49,*) q2(1,ilev),zlev(1,ilev) |
| 669 |
|
|
c enddo |
| 670 |
|
|
c enddo |
| 671 |
|
|
c stop |
| 672 |
|
|
c do ilev=1,klev |
| 673 |
|
|
c print*,zlev(1,ilev),q2s(1,ilev),q2(1,ilev) |
| 674 |
|
|
c enddo |
| 675 |
|
|
c q2s=q2-q2s |
| 676 |
|
|
c do ilev=1,klev |
| 677 |
|
|
c print*,q2s(1,ilev),zlev(1,ilev) |
| 678 |
|
|
c enddo |
| 679 |
|
|
do ilev=2,klev-1 |
| 680 |
|
|
sss=sss+plev(1,ilev-1)-plev(1,ilev+1) |
| 681 |
|
|
sssq=sssq+(plev(1,ilev-1)-plev(1,ilev+1))*q2(1,ilev) |
| 682 |
|
|
enddo |
| 683 |
|
|
print*,'Q2moy apres',sssq/sss |
| 684 |
|
|
c |
| 685 |
|
|
c |
| 686 |
|
|
do ilev=1,nlev |
| 687 |
|
|
do igrid=1,ngrid |
| 688 |
|
|
q2(igrid,ilev)=max(q2(igrid,ilev),q2min) |
| 689 |
|
|
q(igrid,ilev)=sqrt(q2(igrid,ilev)) |
| 690 |
|
|
|
| 691 |
|
|
c....................................................................... |
| 692 |
|
|
c |
| 693 |
|
|
c calcul final de kn et km |
| 694 |
|
|
c ------------------------ |
| 695 |
|
|
c |
| 696 |
|
|
gn=-long(igrid,ilev)**2 / q2(igrid,ilev) |
| 697 |
|
|
& * n2(igrid,ilev) |
| 698 |
|
|
IF (gn.lt.gnmin) gn=gnmin |
| 699 |
|
|
IF (gn.gt.gnmax) gn=gnmax |
| 700 |
|
|
sn(igrid,ilev)=cn1/(1.E+0 +cn2*gn) |
| 701 |
|
|
sm(igrid,ilev)= |
| 702 |
|
|
& (cm1+cm2*gn) |
| 703 |
|
|
& /( (1.E+0 +cm3*gn)*(1.E+0 +cm4*gn) ) |
| 704 |
|
|
C Correction pour les couches stables. |
| 705 |
|
|
C Schema repris de JHoltzlag Boville, lui meme venant de... |
| 706 |
|
|
|
| 707 |
|
|
if (1.eq.1) then |
| 708 |
|
|
snstable=1.-zlev(igrid,ilev) |
| 709 |
|
|
s /(700.*max(ustar(igrid),0.0001)) |
| 710 |
|
|
snstable=1.-zlev(igrid,ilev)/400. |
| 711 |
|
|
snstable=max(snstable,0.) |
| 712 |
|
|
snstable=snstable*snstable |
| 713 |
|
|
|
| 714 |
|
|
c abde print*,'SN ',ilev,sn(1,ilev),snstable |
| 715 |
|
|
if (sn(igrid,ilev).lt.snstable) then |
| 716 |
|
|
sn(igrid,ilev)=snstable |
| 717 |
|
|
snq2(igrid,ilev)=0. |
| 718 |
|
|
endif |
| 719 |
|
|
|
| 720 |
|
|
if (sm(igrid,ilev).lt.snstable) then |
| 721 |
|
|
sm(igrid,ilev)=snstable |
| 722 |
|
|
smq2(igrid,ilev)=0. |
| 723 |
|
|
endif |
| 724 |
|
|
|
| 725 |
|
|
endif |
| 726 |
|
|
|
| 727 |
|
|
c sn : coefficient de stabilite pour n |
| 728 |
|
|
kn(igrid,ilev)=long(igrid,ilev)*q(igrid,ilev) |
| 729 |
|
|
& *sn(igrid,ilev) |
| 730 |
|
|
km(igrid,ilev)=long(igrid,ilev)*q(igrid,ilev) |
| 731 |
|
|
c |
| 732 |
|
|
enddo |
| 733 |
|
|
enddo |
| 734 |
|
|
c print*,'Q2km1 ',(km(1,ilev),ilev=1,10) |
| 735 |
|
|
|
| 736 |
|
|
endif |
| 737 |
|
|
|
| 738 |
|
|
RETURN |
| 739 |
|
|
END |
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