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! $Header: /home/cvsroot/LMDZ4/libf/phylmd/yamada4.F,v 1.1 2004/06/22 11:45:36 lmdzadmin Exp $ |
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! |
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SUBROUTINE yamada4(ngrid,dt,g,rconst,plev,temp |
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s ,zlev,zlay,u,v,teta,cd,q2,km,kn,kq,ustar |
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s ,iflag_pbl) |
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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 iflag_pbl doit valoir entre 6 et 9 |
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c l=6, on prend systematiquement une longueur d'equilibre |
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c iflag_pbl=6 : MY 2.0 |
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c iflag_pbl=7 : MY 2.0.Fournier |
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c iflag_pbl=8 : MY 2.5 |
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c iflag_pbl=9 : un test ? |
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c....................................................................... |
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guez |
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REAL, intent(in):: dt |
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guez |
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real, intent(in):: g |
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real rconst |
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guez |
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real plev(klon,klev+1),temp(klon,klev) |
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real ustar(klon) |
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real kmin,qmin,pblhmin(klon),coriol(klon) |
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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),qpre |
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REAL unsdz(klon,klev) |
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REAL unsdzdec(klon,klev+1) |
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REAL km(klon,klev+1) |
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REAL kmpre(klon,klev+1),tmp2 |
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REAL mpre(klon,klev+1) |
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REAL kn(klon,klev+1) |
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REAL kq(klon,klev+1) |
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real ff(klon,klev+1),delta(klon,klev+1) |
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real aa(klon,klev+1),aa0,aa1 |
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integer iflag_pbl,ngrid |
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integer nlay,nlev |
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PARAMETER (nlay=klev) |
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PARAMETER (nlev=klev+1) |
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logical first |
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integer ipas |
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save first,ipas |
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data first,ipas/.true.,0/ |
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integer ig,k |
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real ri,zrif,zalpha,zsm,zsn |
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real rif(klon,klev+1),sm(klon,klev+1),alpha(klon,klev) |
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real m2(klon,klev+1),dz(klon,klev+1),zq,n2(klon,klev+1) |
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real dtetadz(klon,klev+1) |
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real m2cstat,mcstat,kmcstat |
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real l(klon,klev+1),l0(klon) |
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save l0 |
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real sq(klon),sqz(klon),zz(klon,klev+1) |
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integer iter |
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real ric,rifc,b1,kap |
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save ric,rifc,b1,kap |
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data ric,rifc,b1,kap/0.195,0.191,16.6,0.4/ |
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real frif,falpha,fsm |
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real fl,zzz,zl0,zq2,zn2 |
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real rino(klon,klev+1),smyam(klon,klev),styam(klon,klev) |
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s ,lyam(klon,klev),knyam(klon,klev) |
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s ,w2yam(klon,klev),t2yam(klon,klev) |
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common/pbldiag/rino,smyam,styam,lyam,knyam,w2yam,t2yam |
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frif(ri)=0.6588*(ri+0.1776-sqrt(ri*ri-0.3221*ri+0.03156)) |
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falpha(ri)=1.318*(0.2231-ri)/(0.2341-ri) |
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fsm(ri)=1.96*(0.1912-ri)*(0.2341-ri)/((1.-ri)*(0.2231-ri)) |
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fl(zzz,zl0,zq2,zn2)= |
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s max(min(l0(ig)*kap*zlev(ig,k)/(kap*zlev(ig,k)+l0(ig)) |
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s ,0.5*sqrt(q2(ig,k))/sqrt(max(n2(ig,k),1.e-10))) ,1.) |
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if (.not.(iflag_pbl.ge.6.and.iflag_pbl.le.9)) then |
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stop'probleme de coherence dans appel a MY' |
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endif |
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ipas=ipas+1 |
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if (0.eq.1.and.first) then |
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do ig=1,1000 |
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ri=(ig-800.)/500. |
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if (ri.lt.ric) then |
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zrif=frif(ri) |
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else |
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zrif=rifc |
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endif |
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if(zrif.lt.0.16) then |
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zalpha=falpha(zrif) |
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zsm=fsm(zrif) |
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else |
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zalpha=1.12 |
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zsm=0.085 |
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endif |
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c print*,ri,rif,zalpha,zsm |
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enddo |
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endif |
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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 ig=1,ngrid |
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zlev(ig,nlev)=zlay(ig,nlay) |
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& +( zlay(ig,nlay) - zlev(ig,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 k=1,nlay |
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DO ig=1,ngrid |
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unsdz(ig,k)=1.E+0/(zlev(ig,k+1)-zlev(ig,k)) |
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ENDDO |
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ENDDO |
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DO ig=1,ngrid |
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unsdzdec(ig,1)=1.E+0/(zlay(ig,1)-zlev(ig,1)) |
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ENDDO |
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DO k=2,nlay |
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DO ig=1,ngrid |
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unsdzdec(ig,k)=1.E+0/(zlay(ig,k)-zlay(ig,k-1)) |
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ENDDO |
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ENDDO |
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DO ig=1,ngrid |
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unsdzdec(ig,nlay+1)=1.E+0/(zlev(ig,nlay+1)-zlay(ig,nlay)) |
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ENDDO |
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c |
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c....................................................................... |
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do k=2,klev |
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do ig=1,ngrid |
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dz(ig,k)=zlay(ig,k)-zlay(ig,k-1) |
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m2(ig,k)=((u(ig,k)-u(ig,k-1))**2+(v(ig,k)-v(ig,k-1))**2) |
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s /(dz(ig,k)*dz(ig,k)) |
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dtetadz(ig,k)=(teta(ig,k)-teta(ig,k-1))/dz(ig,k) |
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n2(ig,k)=g*2.*dtetadz(ig,k)/(teta(ig,k-1)+teta(ig,k)) |
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c n2(ig,k)=0. |
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ri=n2(ig,k)/max(m2(ig,k),1.e-10) |
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if (ri.lt.ric) then |
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rif(ig,k)=frif(ri) |
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else |
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rif(ig,k)=rifc |
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endif |
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if(rif(ig,k).lt.0.16) then |
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alpha(ig,k)=falpha(rif(ig,k)) |
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sm(ig,k)=fsm(rif(ig,k)) |
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else |
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alpha(ig,k)=1.12 |
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sm(ig,k)=0.085 |
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endif |
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zz(ig,k)=b1*m2(ig,k)*(1.-rif(ig,k))*sm(ig,k) |
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c print*,'RIF L=',k,rif(ig,k),ri*alpha(ig,k) |
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enddo |
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enddo |
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c==================================================================== |
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c Au premier appel, on determine l et q2 de facon iterative. |
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c iterration pour determiner la longueur de melange |
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if (first.or.iflag_pbl.eq.6) then |
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do ig=1,ngrid |
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l0(ig)=10. |
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enddo |
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do k=2,klev-1 |
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do ig=1,ngrid |
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l(ig,k)=l0(ig)*kap*zlev(ig,k)/(kap*zlev(ig,k)+l0(ig)) |
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enddo |
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enddo |
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do iter=1,10 |
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do ig=1,ngrid |
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sq(ig)=1.e-10 |
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sqz(ig)=1.e-10 |
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enddo |
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do k=2,klev-1 |
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do ig=1,ngrid |
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q2(ig,k)=l(ig,k)**2*zz(ig,k) |
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l(ig,k)=fl(zlev(ig,k),l0(ig),q2(ig,k),n2(ig,k)) |
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zq=sqrt(q2(ig,k)) |
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sqz(ig)=sqz(ig)+zq*zlev(ig,k)*(zlay(ig,k)-zlay(ig,k-1)) |
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sq(ig)=sq(ig)+zq*(zlay(ig,k)-zlay(ig,k-1)) |
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enddo |
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enddo |
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do ig=1,ngrid |
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l0(ig)=0.2*sqz(ig)/sq(ig) |
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c l0(ig)=30. |
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enddo |
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c print*,'ITER=',iter,' L0=',l0 |
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enddo |
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c print*,'Fin de l initialisation de q2 et l0' |
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endif ! first |
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c==================================================================== |
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c Calcul de la longueur de melange. |
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c==================================================================== |
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c Mise a jour de l0 |
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do ig=1,ngrid |
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sq(ig)=1.e-10 |
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sqz(ig)=1.e-10 |
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enddo |
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do k=2,klev-1 |
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do ig=1,ngrid |
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zq=sqrt(q2(ig,k)) |
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sqz(ig)=sqz(ig)+zq*zlev(ig,k)*(zlay(ig,k)-zlay(ig,k-1)) |
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sq(ig)=sq(ig)+zq*(zlay(ig,k)-zlay(ig,k-1)) |
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enddo |
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enddo |
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do ig=1,ngrid |
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l0(ig)=0.2*sqz(ig)/sq(ig) |
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c l0(ig)=30. |
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enddo |
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c print*,'ITER=',iter,' L0=',l0 |
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c calcul de l(z) |
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do k=2,klev |
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do ig=1,ngrid |
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l(ig,k)=fl(zlev(ig,k),l0(ig),q2(ig,k),n2(ig,k)) |
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if(first) then |
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q2(ig,k)=l(ig,k)**2*zz(ig,k) |
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endif |
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enddo |
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enddo |
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c==================================================================== |
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c Yamada 2.0 |
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c==================================================================== |
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if (iflag_pbl.eq.6) then |
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do k=2,klev |
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do ig=1,ngrid |
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q2(ig,k)=l(ig,k)**2*zz(ig,k) |
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enddo |
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enddo |
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else if (iflag_pbl.eq.7) then |
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c==================================================================== |
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c Yamada 2.Fournier |
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c==================================================================== |
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c Calcul de l, km, au pas precedent |
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do k=2,klev |
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do ig=1,ngrid |
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c print*,'SMML=',sm(ig,k),l(ig,k) |
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delta(ig,k)=q2(ig,k)/(l(ig,k)**2*sm(ig,k)) |
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kmpre(ig,k)=l(ig,k)*sqrt(q2(ig,k))*sm(ig,k) |
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mpre(ig,k)=sqrt(m2(ig,k)) |
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c print*,'0L=',k,l(ig,k),delta(ig,k),km(ig,k) |
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enddo |
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enddo |
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do k=2,klev-1 |
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do ig=1,ngrid |
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m2cstat=max(alpha(ig,k)*n2(ig,k)+delta(ig,k)/b1,1.e-12) |
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mcstat=sqrt(m2cstat) |
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c print*,'M2 L=',k,mpre(ig,k),mcstat |
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c |
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c -----{puis on ecrit la valeur de q qui annule l'equation de m |
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c supposee en q3} |
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c |
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IF (k.eq.2) THEN |
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kmcstat=1.E+0 / mcstat |
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& *( unsdz(ig,k)*kmpre(ig,k+1) |
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& *mpre(ig,k+1) |
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& +unsdz(ig,k-1) |
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& *cd(ig) |
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& *( sqrt(u(ig,3)**2+v(ig,3)**2) |
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& -mcstat/unsdzdec(ig,k) |
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& -mpre(ig,k+1)/unsdzdec(ig,k+1) )**2) |
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& /( unsdz(ig,k)+unsdz(ig,k-1) ) |
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ELSE |
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kmcstat=1.E+0 / mcstat |
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& *( unsdz(ig,k)*kmpre(ig,k+1) |
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& *mpre(ig,k+1) |
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& +unsdz(ig,k-1)*kmpre(ig,k-1) |
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& *mpre(ig,k-1) ) |
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& /( unsdz(ig,k)+unsdz(ig,k-1) ) |
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ENDIF |
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c print*,'T2 L=',k,tmp2 |
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tmp2=kmcstat |
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& /( sm(ig,k)/q2(ig,k) ) |
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& /l(ig,k) |
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q2(ig,k)=max(tmp2,1.e-12)**(2./3.) |
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c print*,'Q2 L=',k,q2(ig,k) |
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c |
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enddo |
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enddo |
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else if (iflag_pbl.ge.8) then |
| 336 |
|
|
c==================================================================== |
| 337 |
|
|
c Yamada 2.5 a la Didi |
| 338 |
|
|
c==================================================================== |
| 339 |
|
|
|
| 340 |
|
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|
| 341 |
|
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c Calcul de l, km, au pas precedent |
| 342 |
|
|
do k=2,klev |
| 343 |
|
|
do ig=1,ngrid |
| 344 |
|
|
c print*,'SMML=',sm(ig,k),l(ig,k) |
| 345 |
|
|
delta(ig,k)=q2(ig,k)/(l(ig,k)**2*sm(ig,k)) |
| 346 |
|
|
if (delta(ig,k).lt.1.e-20) then |
| 347 |
|
|
c print*,'ATTENTION L=',k,' Delta=',delta(ig,k) |
| 348 |
|
|
delta(ig,k)=1.e-20 |
| 349 |
|
|
endif |
| 350 |
|
|
km(ig,k)=l(ig,k)*sqrt(q2(ig,k))*sm(ig,k) |
| 351 |
|
|
aa0= |
| 352 |
|
|
s (m2(ig,k)-alpha(ig,k)*n2(ig,k)-delta(ig,k)/b1) |
| 353 |
|
|
aa1= |
| 354 |
|
|
s (m2(ig,k)*(1.-rif(ig,k))-delta(ig,k)/b1) |
| 355 |
|
|
c abder print*,'AA L=',k,aa0,aa1,aa1/max(m2(ig,k),1.e-20) |
| 356 |
|
|
aa(ig,k)=aa1*dt/(delta(ig,k)*l(ig,k)) |
| 357 |
|
|
c print*,'0L=',k,l(ig,k),delta(ig,k),km(ig,k) |
| 358 |
|
|
qpre=sqrt(q2(ig,k)) |
| 359 |
|
|
if (iflag_pbl.eq.8 ) then |
| 360 |
|
|
if (aa(ig,k).gt.0.) then |
| 361 |
|
|
q2(ig,k)=(qpre+aa(ig,k)*qpre*qpre)**2 |
| 362 |
|
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else |
| 363 |
|
|
q2(ig,k)=(qpre/(1.-aa(ig,k)*qpre))**2 |
| 364 |
|
|
endif |
| 365 |
|
|
else ! iflag_pbl=9 |
| 366 |
|
|
if (aa(ig,k)*qpre.gt.0.9) then |
| 367 |
|
|
q2(ig,k)=(qpre*10.)**2 |
| 368 |
|
|
else |
| 369 |
|
|
q2(ig,k)=(qpre/(1.-aa(ig,k)*qpre))**2 |
| 370 |
|
|
endif |
| 371 |
|
|
endif |
| 372 |
|
|
q2(ig,k)=min(max(q2(ig,k),1.e-10),1.e4) |
| 373 |
|
|
c print*,'Q2 L=',k,q2(ig,k),qpre*qpre |
| 374 |
|
|
enddo |
| 375 |
|
|
enddo |
| 376 |
|
|
|
| 377 |
|
|
endif ! Fin du cas 8 |
| 378 |
|
|
|
| 379 |
|
|
c print*,'OK8' |
| 380 |
|
|
|
| 381 |
|
|
c==================================================================== |
| 382 |
|
|
c Calcul des coefficients de mélange |
| 383 |
|
|
c==================================================================== |
| 384 |
|
|
do k=2,klev |
| 385 |
|
|
c print*,'k=',k |
| 386 |
|
|
do ig=1,ngrid |
| 387 |
|
|
cabde print*,'KML=',l(ig,k),q2(ig,k),sm(ig,k) |
| 388 |
|
|
zq=sqrt(q2(ig,k)) |
| 389 |
|
|
km(ig,k)=l(ig,k)*zq*sm(ig,k) |
| 390 |
|
|
kn(ig,k)=km(ig,k)*alpha(ig,k) |
| 391 |
|
|
kq(ig,k)=l(ig,k)*zq*0.2 |
| 392 |
|
|
c print*,'KML=',km(ig,k),kn(ig,k) |
| 393 |
|
|
enddo |
| 394 |
|
|
enddo |
| 395 |
|
|
|
| 396 |
|
|
c Traitement des cas noctrunes avec l'introduction d'une longueur |
| 397 |
|
|
c minilale. |
| 398 |
|
|
|
| 399 |
|
|
c==================================================================== |
| 400 |
|
|
c Traitement particulier pour les cas tres stables. |
| 401 |
|
|
c D'apres Holtslag Boville. |
| 402 |
|
|
|
| 403 |
|
|
print*,'YAMADA4 0' |
| 404 |
|
|
|
| 405 |
|
|
do ig=1,ngrid |
| 406 |
|
|
coriol(ig)=1.e-4 |
| 407 |
|
|
pblhmin(ig)=0.07*ustar(ig)/max(abs(coriol(ig)),2.546e-5) |
| 408 |
|
|
enddo |
| 409 |
|
|
|
| 410 |
|
|
print*,'pblhmin ',pblhmin |
| 411 |
|
|
CTest a remettre 21 11 02 |
| 412 |
|
|
c test abd 13 05 02 if(0.eq.1) then |
| 413 |
|
|
if(1.eq.1) then |
| 414 |
|
|
do k=2,klev |
| 415 |
|
|
do ig=1,klon |
| 416 |
|
|
if (teta(ig,2).gt.teta(ig,1)) then |
| 417 |
|
|
qmin=ustar(ig)*(max(1.-zlev(ig,k)/pblhmin(ig),0.))**2 |
| 418 |
|
|
kmin=kap*zlev(ig,k)*qmin |
| 419 |
|
|
else |
| 420 |
|
|
kmin=-1. ! kmin n'est utilise que pour les SL stables. |
| 421 |
|
|
endif |
| 422 |
|
|
if (kn(ig,k).lt.kmin.or.km(ig,k).lt.kmin) then |
| 423 |
|
|
c print*,'Seuil min Km K=',k,kmin,km(ig,k),kn(ig,k) |
| 424 |
|
|
c s ,sqrt(q2(ig,k)),pblhmin(ig),qmin/sm(ig,k) |
| 425 |
|
|
kn(ig,k)=kmin |
| 426 |
|
|
km(ig,k)=kmin |
| 427 |
|
|
kq(ig,k)=kmin |
| 428 |
|
|
c la longueur de melange est suposee etre l= kap z |
| 429 |
|
|
c K=l q Sm d'ou q2=(K/l Sm)**2 |
| 430 |
|
|
q2(ig,k)=(qmin/sm(ig,k))**2 |
| 431 |
|
|
endif |
| 432 |
|
|
enddo |
| 433 |
|
|
enddo |
| 434 |
|
|
endif |
| 435 |
|
|
|
| 436 |
|
|
print*,'YAMADA4 1' |
| 437 |
|
|
c Diagnostique pour stokage |
| 438 |
|
|
|
| 439 |
|
|
rino=rif |
| 440 |
|
|
smyam(:,1:klev)=sm(:,1:klev) |
| 441 |
|
|
styam=sm(:,1:klev)*alpha(:,1:klev) |
| 442 |
|
|
lyam(1:klon,1:klev)=l(:,1:klev) |
| 443 |
|
|
knyam(1:klon,1:klev)=kn(:,1:klev) |
| 444 |
|
|
|
| 445 |
|
|
c Estimations de w'2 et T'2 d'apres Abdela et McFarlane |
| 446 |
|
|
|
| 447 |
|
|
if(1.eq.0)then |
| 448 |
|
|
w2yam=q2(:,1:klev)*0.24 |
| 449 |
|
|
s +lyam(:,1:klev)*5.17*kn(:,1:klev)*n2(:,1:klev) |
| 450 |
|
|
s /sqrt(q2(:,1:klev)) |
| 451 |
|
|
|
| 452 |
|
|
t2yam=9.1*kn(:,1:klev)*dtetadz(:,1:klev)**2/sqrt(q2(:,1:klev)) |
| 453 |
|
|
s *lyam(:,1:klev) |
| 454 |
|
|
endif |
| 455 |
|
|
|
| 456 |
|
|
c print*,'OKFIN' |
| 457 |
|
|
first=.false. |
| 458 |
|
|
return |
| 459 |
|
|
end |
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