source: LMDZ5/trunk/libf/phylmd/yamada_c.F90 @ 1763

!
! $Header$
!
      SUBROUTINE yamada_c(ngrid,timestep,plev,play &
     &   ,pu,pv,pt,d_u,d_v,d_t,cd,q2,km,kn,kq,d_t_diss,ustar &
     &   ,iflag_pbl,okiophys)
      use dimphy
      IMPLICIT NONE
#include "iniprint.h"
#include "YOMCST.h"
!.......................................................................
!ym#include "dimensions.h"
!ym#include "dimphy.h"
!.......................................................................
!
! timestep : pas de temps
! g  : g
! zlev : altitude a chaque niveau (interface inferieure de la couche
!        de meme indice)
! zlay : altitude au centre de chaque couche
! u,v : vitesse au centre de chaque couche
!       (en entree : la valeur au debut du pas de temps)
! teta : temperature potentielle au centre de chaque couche
!        (en entree : la valeur au debut du pas de temps)
! cd : cdrag
!      (en entree : la valeur au debut du pas de temps)
! q2 : $q^2$ au bas de chaque couche
!      (en entree : la valeur au debut du pas de temps)
!      (en sortie : la valeur a la fin du pas de temps)
! km : diffusivite turbulente de quantite de mouvement (au bas de chaque
!      couche)
!      (en sortie : la valeur a la fin du pas de temps)
! kn : diffusivite turbulente des scalaires (au bas de chaque couche)
!      (en sortie : la valeur a la fin du pas de temps)
!
!  iflag_pbl doit valoir entre 6 et 9
!      l=6, on prend  systematiquement une longueur d'equilibre
!    iflag_pbl=6 : MY 2.0
!    iflag_pbl=7 : MY 2.0.Fournier
!    iflag_pbl=8/9 : MY 2.5
!       iflag_pbl=8 with special obsolete treatments for convergence
!       with Cmpi5 NPv3.1 simulations
!    iflag_pbl=10/11 :  New scheme M2 and N2 explicit and dissiptation exact
!    iflag_pbl=12 = 11 with vertical diffusion off q2
!
!  2013/04/01 (FH hourdin@lmd.jussieu.fr)
!     Correction for very stable PBLs (iflag_pbl=10 and 11)
!     iflag_pbl=8 converges numerically with NPv3.1
!     iflag_pbl=11 -> the model starts with NP from start files created by ce0l
!                  -> the model can run with longer time-steps.
!.......................................................................

      REAL, DIMENSION(klon,klev) :: d_u,d_v,d_t
      REAL, DIMENSION(klon,klev) :: pu,pv,pt
      REAL, DIMENSION(klon,klev) :: d_t_diss
      INTEGER okiophys

      REAL timestep
      real plev(klon,klev+1)
      real play(klon,klev)
      real ustar(klon)
      real kmin,qmin,pblhmin(klon),coriol(klon)
      REAL zlev(klon,klev+1)
      REAL zlay(klon,klev)
      REAL zu(klon,klev)
      REAL zv(klon,klev)
      REAL zt(klon,klev)
      REAL teta(klon,klev)
      REAL cd(klon)
      REAL q2(klon,klev+1),qpre
      REAL unsdz(klon,klev)
      REAL unsdzdec(klon,klev+1)

      REAL km(klon,klev+1)
      REAL kmpre(klon,klev+1),tmp2
      REAL mpre(klon,klev+1)
      REAL kn(klon,klev+1)
      REAL kq(klon,klev+1)
      real ff(klon,klev+1),delta(klon,klev+1)
      real aa(klon,klev+1),aa0,aa1
      integer iflag_pbl,ngrid
      integer nlay,nlev

      logical first
      integer ipas
      save first,ipas
!FH/IM     data first,ipas/.true.,0/
      data first,ipas/.false.,0/
!$OMP THREADPRIVATE( first,ipas)

      integer ig,k


      real ri,zrif,zalpha,zsm,zsn
      real rif(klon,klev+1),sm(klon,klev+1),alpha(klon,klev)

      real m2(klon,klev+1),dz(klon,klev+1),zq,n2(klon,klev+1)
      REAL, DIMENSION(klon,klev+1) :: km2,kn2,sqrtq
      real dtetadz(klon,klev+1)
      real m2cstat,mcstat,kmcstat
      real l(klon,klev+1)
      real leff(klon,klev+1)
      real,allocatable,save :: l0(:)
!$OMP THREADPRIVATE(l0)      
      real sq(klon),sqz(klon),zz(klon,klev+1)
      integer iter

      real ric,rifc,b1,kap
      save ric,rifc,b1,kap
      data ric,rifc,b1,kap/0.195,0.191,16.6,0.4/
!$OMP THREADPRIVATE(ric,rifc,b1,kap)
      real frif,falpha,fsm
      real fl,zzz,zl0,zq2,zn2

      real rino(klon,klev+1),smyam(klon,klev),styam(klon,klev)
      real lyam(klon,klev),knyam(klon,klev)
      real w2yam(klon,klev),t2yam(klon,klev)
      logical,save :: firstcall=.true.

REAL, DIMENSION(klon,klev+1) :: fluxu,fluxv,fluxt
REAL, DIMENSION(klon,klev+1) :: dddu,dddv,dddt
REAL, DIMENSION(klon,klev) :: exner,masse
REAL, DIMENSION(klon,klev+1) :: masseb,q2old,q2neg

!$OMP THREADPRIVATE(firstcall)       
      frif(ri)=0.6588*(ri+0.1776-sqrt(ri*ri-0.3221*ri+0.03156))
      falpha(ri)=1.318*(0.2231-ri)/(0.2341-ri)
      fsm(ri)=1.96*(0.1912-ri)*(0.2341-ri)/((1.-ri)*(0.2231-ri))
      fl(zzz,zl0,zq2,zn2)= &
     &     max(min(l0(ig)*kap*zlev(ig,k)/(kap*zlev(ig,k)+l0(ig)) &
     &     ,0.5*sqrt(q2(ig,k))/sqrt(max(n2(ig,k),1.e-10))) ,1.)


      if (firstcall) then
        allocate(l0(klon))
#ifdef IOPHYS
        call iophys_ini
#endif
        firstcall=.false.
      endif


#ifdef IOPHYS
if (okiophys==1) then
call iophys_ecrit('q2i',klev,'q2 debut my','m2/s2',q2(:,1:klev))
call iophys_ecrit('kmi',klev,'Kz debut my','m/s2',km(:,1:klev))
endif
#endif

      nlay=klev
      nlev=klev+1

!-------------------------------------------------------------------------
! Computation of conservative source terms from the turbulent tendencies
!-------------------------------------------------------------------------


   zu(:,:)=pu(:,:)+0.5*d_u(:,:)
   zv(:,:)=pv(:,:)+0.5*d_v(:,:)
   zt(:,:)=pt(:,:)+0.5*d_t(:,:)
   do k=1,klev
      exner(:,k)=(play(:,k)/plev(:,1))**RKAPPA
      masse(:,k)=(plev(:,k)-plev(:,k+1))/RG
   enddo
   teta(:,:)=zt(:,:)/exner(:,:)

! Atmospheric mass at layer interfaces, where the TKE is computed
   masseb(:,:)=0.
   do k=1,klev
      masseb(:,k)=masseb(:,k)+masse(:,k)
      masseb(:,k+1)=masseb(:,k+1)+masse(:,k)
    enddo
    masseb(:,:)=0.5*masseb(:,:)



   zlev(:,1)=0.
   zlay(:,1)=RCPD*teta(:,1)*(1.-exner(:,1))
   do k=1,klev-1
      zlay(:,k+1)=zlay(:,k)+0.5*RCPD*(teta(:,k)+teta(:,k+1))*(exner(:,k)-exner(:,k+1))/RG
      zlev(:,k)=0.5*(zlay(:,k)+zlay(:,k+1)) ! PASBO
   enddo

   fluxu(:,klev+1)=0.
   fluxv(:,klev+1)=0.
   fluxt(:,klev+1)=0.

   do k=klev,1,-1
      fluxu(:,k)=fluxu(:,k+1)+masse(:,k)*d_u(:,k)
      fluxv(:,k)=fluxv(:,k+1)+masse(:,k)*d_v(:,k)
      fluxt(:,k)=fluxt(:,k+1)+masse(:,k)*d_t(:,k)/exner(:,k) ! Flux de theta
   enddo

   dddu(:,1)=2*zu(:,1)*fluxu(:,1)
   dddv(:,1)=2*zv(:,1)*fluxv(:,1)
   dddt(:,1)=(exner(:,1)-1.)*fluxt(:,1)

   do k=2,klev
      dddu(:,k)=(zu(:,k)-zu(:,k-1))*fluxu(:,k)
      dddv(:,k)=(zv(:,k)-zv(:,k-1))*fluxv(:,k)
      dddt(:,k)=(exner(:,k)-exner(:,k-1))*fluxt(:,k)
   enddo
   dddu(:,klev+1)=0.
   dddv(:,klev+1)=0.
   dddt(:,klev+1)=0.

#ifdef IOPHYS
if (okiophys==1) then
      call iophys_ecrit('zlay',klev,'Geop','m',zlay)
      call iophys_ecrit('teta',klev,'teta','K',teta)
      call iophys_ecrit('temp',klev,'temp','K',zt)
      call iophys_ecrit('pt',klev,'temp','K',pt)
      call iophys_ecrit('d_u',klev,'d_u','m/s2',d_u)
      call iophys_ecrit('d_v',klev,'d_v','m/s2',d_v)
      call iophys_ecrit('d_t',klev,'d_t','K/s',d_t)
      call iophys_ecrit('exner',klev,'exner','',exner)
      call iophys_ecrit('masse',klev,'masse','',masse)
      call iophys_ecrit('masseb',klev,'masseb','',masseb)
      call iophys_ecrit('Cm2',klev,'m2 conserv','m/s',(dddu(:,1:klev)+dddv(:,1:klev))/(masseb(:,1:klev)*timestep))
      call iophys_ecrit('Cn2',klev,'m2 conserv','m/s',(rcpd*dddt(:,1:klev)/masseb(:,1:klev))/timestep)
      call iophys_ecrit('rifc',klev,'rif conservative','',rcpd*dddt(:,1:klev)/min(dddu(:,1:klev)+dddv(:,1:klev),-1.e-20))
endif
#endif



      ipas=ipas+1


!.......................................................................
!  les increments verticaux
!.......................................................................
!
!!!!!! allerte !!!!!c
!!!!!! zlev n'est pas declare a nlev !!!!!c
!!!!!! ---->
                                                      DO ig=1,ngrid
            zlev(ig,nlev)=zlay(ig,nlay) &
     &             +( zlay(ig,nlay) - zlev(ig,nlev-1) )
                                                      ENDDO
!!!!!! <----
!!!!!! allerte !!!!!c
!
      DO k=1,nlay
                                                      DO ig=1,ngrid
        unsdz(ig,k)=1.E+0/(zlev(ig,k+1)-zlev(ig,k))
                                                      ENDDO
      ENDDO
                                                      DO ig=1,ngrid
      unsdzdec(ig,1)=1.E+0/(zlay(ig,1)-zlev(ig,1))
                                                      ENDDO
      DO k=2,nlay
                                                      DO ig=1,ngrid
        unsdzdec(ig,k)=1.E+0/(zlay(ig,k)-zlay(ig,k-1))
                                                     ENDDO
      ENDDO
                                                      DO ig=1,ngrid
      unsdzdec(ig,nlay+1)=1.E+0/(zlev(ig,nlay+1)-zlay(ig,nlay))
                                                     ENDDO
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! Computing M^2, N^2, Richardson numbers, stability functions
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


      do k=2,klev
                                                          do ig=1,ngrid
         dz(ig,k)=zlay(ig,k)-zlay(ig,k-1)
         m2(ig,k)=((zu(ig,k)-zu(ig,k-1))**2+(zv(ig,k)-zv(ig,k-1))**2)/(dz(ig,k)*dz(ig,k))
         dtetadz(ig,k)=(teta(ig,k)-teta(ig,k-1))/dz(ig,k)
         n2(ig,k)=RG*2.*dtetadz(ig,k)/(teta(ig,k-1)+teta(ig,k))
!        n2(ig,k)=0.
         ri=n2(ig,k)/max(m2(ig,k),1.e-10)
         if (ri.lt.ric) then
            rif(ig,k)=frif(ri)
         else
            rif(ig,k)=rifc
         endif
         if(rif(ig,k).lt.0.16) then
            alpha(ig,k)=falpha(rif(ig,k))
            sm(ig,k)=fsm(rif(ig,k))
         else
            alpha(ig,k)=1.12
            sm(ig,k)=0.085
         endif
         zz(ig,k)=b1*m2(ig,k)*(1.-rif(ig,k))*sm(ig,k)
                                                          enddo
      enddo



!====================================================================
!  Computing the mixing length
!====================================================================

!   Mise a jour de l0
      if (iflag_pbl==8.or.iflag_pbl==10) then

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! Iterative computation of l0
! This version is kept for iflag_pbl only for convergence
! with NPv3.1 Cmip5 simulations
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

                                                          do ig=1,ngrid
      sq(ig)=1.e-10
      sqz(ig)=1.e-10
                                                          enddo
      do k=2,klev-1
                                                          do ig=1,ngrid
        zq=sqrt(q2(ig,k))
        sqz(ig)=sqz(ig)+zq*zlev(ig,k)*(zlay(ig,k)-zlay(ig,k-1))
        sq(ig)=sq(ig)+zq*(zlay(ig,k)-zlay(ig,k-1))
                                                          enddo
      enddo
                                                          do ig=1,ngrid
      l0(ig)=0.2*sqz(ig)/sq(ig)
                                                          enddo
      do k=2,klev
                                                          do ig=1,ngrid
         l(ig,k)=fl(zlev(ig,k),l0(ig),q2(ig,k),n2(ig,k))
                                                          enddo
      enddo
!     print*,'L0 cas 8 ou 10 ',l0

      else

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! In all other case, the assymptotic mixing length l0 is imposed (100m)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

          l0(:)=150.
          do k=2,klev
                                                          do ig=1,ngrid
             l(ig,k)=fl(zlev(ig,k),l0(ig),q2(ig,k),n2(ig,k))
                                                          enddo
          enddo
!     print*,'L0 cas autres ',l0

      endif


#ifdef IOPHYS
if (okiophys==1) then
call iophys_ecrit('rif',klev,'Flux Richardson','m',rif(:,1:klev))
call iophys_ecrit('m2',klev,'m2 ','m/s',m2(:,1:klev))
call iophys_ecrit('Km2',klev,'m2 conserv','m/s',km(:,1:klev)*m2(:,1:klev))
call iophys_ecrit('Km',klev,'Km','m2/s',km(:,1:klev))
endif
#endif


IF (iflag_pbl<20) then
      ! For diagnostics only
      RETURN

ELSE

!  print*,'OK1'

! Evolution of TKE under source terms K M2 and K N2
   leff(:,:)=max(l(:,:),1.)
   IF (iflag_pbl==29) THEN
      km2(:,:)=km(:,:)*m2(:,:)
      kn2(:,:)=kn2(:,:)*rif(:,:)
   ELSEIF (iflag_pbl==25) THEN
      DO k=1,klev
         km2(:,k)=-0.5*(dddu(:,k)+dddv(:,k)+dddu(:,k+1)+dddv(:,k+1)) &
         &        /(masse(:,k)*timestep)
         kn2(:,k)=rcpd*0.5*(dddt(:,k)+dddt(:,k+1))/(masse(:,k)*timestep)
         leff(:,k)=0.5*(leff(:,k)+leff(:,k+1))
      ENDDO
      km2(:,klev+1)=0. ; kn2(:,klev+1)=0.
   ELSE
      km2(:,:)=-(dddu(:,:)+dddv(:,:))/(masseb(:,:)*timestep)
      kn2(:,:)=rcpd*dddt(:,:)/(masseb(:,:)*timestep)
   ENDIF
   q2neg(:,:)=q2(:,:)+timestep*(km2(:,:)-kn2(:,:))
   q2(:,:)=min(max(q2neg(:,:),1.e-10),1.e4)

! Dissipation of TKE
   q2old(:,:)=q2(:,:)
   q2(:,:)=1./(1./sqrt(q2(:,:))+timestep/(2*leff(:,:)*b1))
   q2(:,:)=q2(:,:)*q2(:,:)
   IF (iflag_pbl<=24) THEN
      DO k=1,klev
         d_t_diss(:,k)=(masseb(:,k)*(q2neg(:,k)-q2(:,k))+masseb(:,k+1)*(q2neg(:,k+1)-q2(:,k+1)))/(2.*rcpd*masse(:,k))
      ENDDO
   ELSE IF (iflag_pbl<=27) THEN
      DO k=1,klev
         d_t_diss(:,k)=(q2neg(:,k)-q2(:,k))/rcpd
      ENDDO
   ENDIF
!  print*,'iflag_pbl ',d_t_diss


! Compuation of stability functions
   IF (iflag_pbl/=29) THEN
      DO k=1,klev
      DO ig=1,ngrid
         IF (ABS(km2(ig,k))<=1.e-20) THEN
            rif(ig,k)=0.
         ELSE
            rif(ig,k)=min(kn2(ig,k)/km2(ig,k),rifc)
         ENDIF
         IF (rif(ig,k).lt.0.16) THEN
            alpha(ig,k)=falpha(rif(ig,k))
            sm(ig,k)=fsm(rif(ig,k))
         else
            alpha(ig,k)=1.12
            sm(ig,k)=0.085
         endif
      ENDDO
      ENDDO
    ENDIF

! Computation of turbulent diffusivities
   IF (25<=iflag_pbl.and.iflag_pbl<=28) THEN
     DO k=2,klev
        sqrtq(:,k)=sqrt(0.5*(q2(:,k)+q2(:,k-1)))
     ENDDO
   ELSE
     DO k=2,klev
        sqrtq(:,k)=sqrt(q2(:,k))
     ENDDO
   ENDIF
   DO k=2,klev
   DO ig=1,ngrid
      km(ig,k)=leff(ig,k)*sqrtq(ig,k)*sm(ig,k)
      kn(ig,k)=km(ig,k)*alpha(ig,k)
      kq(ig,k)=leff(ig,k)*zq*0.2
!         print*,q2(ig,k),zq,km(ig,k)
   ENDDO
   ENDDO



#ifdef IOPHYS
if (okiophys==1) then
call iophys_ecrit('mixingl',klev,'Mixing length','m',leff(:,1:klev))
call iophys_ecrit('rife',klev,'Flux Richardson','m',rif(:,1:klev))
call iophys_ecrit('q2f',klev,'KTE finale','m2/s',q2(:,1:klev))
call iophys_ecrit('q2neg',klev,'KTE non bornee','m2/s',q2neg(:,1:klev))
call iophys_ecrit('alpha',klev,'alpha','',alpha(:,1:klev))
call iophys_ecrit('sm',klev,'sm','',sm(:,1:klev))
call iophys_ecrit('q2f',klev,'KTE finale','m2/s',q2(:,1:klev))
call iophys_ecrit('kmf',klev,'Kz final','m2/s',km(:,1:klev))
call iophys_ecrit('knf',klev,'Kz final','m2/s',kn(:,1:klev))
call iophys_ecrit('kqf',klev,'Kz final','m2/s',kq(:,1:klev))
endif
#endif

ENDIF


!  print*,'OK2'
      RETURN
!====================================================================
!   Yamada 2.0
!====================================================================
      if (iflag_pbl.eq.6) then

      do k=2,klev
         q2(:,k)=l(:,k)**2*zz(:,k)
      enddo


      else if (iflag_pbl.eq.7) then
!====================================================================
!   Yamada 2.Fournier
!====================================================================

!  Calcul de l,  km, au pas precedent
      do k=2,klev
                                                          do ig=1,ngrid
!        print*,'SMML=',sm(ig,k),l(ig,k)
         delta(ig,k)=q2(ig,k)/(l(ig,k)**2*sm(ig,k))
         kmpre(ig,k)=l(ig,k)*sqrt(q2(ig,k))*sm(ig,k)
         mpre(ig,k)=sqrt(m2(ig,k))
!        print*,'0L=',k,l(ig,k),delta(ig,k),km(ig,k)
                                                          enddo
      enddo

      do k=2,klev-1
                                                          do ig=1,ngrid
        m2cstat=max(alpha(ig,k)*n2(ig,k)+delta(ig,k)/b1,1.e-12)
        mcstat=sqrt(m2cstat)

!        print*,'M2 L=',k,mpre(ig,k),mcstat
!
!  -----{puis on ecrit la valeur de q qui annule l'equation de m
!        supposee en q3}
!
        IF (k.eq.2) THEN
          kmcstat=1.E+0 / mcstat &
     &    *( unsdz(ig,k)*kmpre(ig,k+1) &
     &                        *mpre(ig,k+1) &
     &      +unsdz(ig,k-1) &
     &              *cd(ig) &
     &              *( sqrt(zu(ig,3)**2+zv(ig,3)**2) &
     &                -mcstat/unsdzdec(ig,k) &
     &                -mpre(ig,k+1)/unsdzdec(ig,k+1) )**2) &
     &      /( unsdz(ig,k)+unsdz(ig,k-1) )
        ELSE
          kmcstat=1.E+0 / mcstat &
     &    *( unsdz(ig,k)*kmpre(ig,k+1) &
     &                        *mpre(ig,k+1) &
     &      +unsdz(ig,k-1)*kmpre(ig,k-1) &
     &                          *mpre(ig,k-1) ) &
     &      /( unsdz(ig,k)+unsdz(ig,k-1) )
        ENDIF
!       print*,'T2 L=',k,tmp2
        tmp2=kmcstat &
     &      /( sm(ig,k)/q2(ig,k) ) &
     &      /l(ig,k)
        q2(ig,k)=max(tmp2,1.e-12)**(2./3.)
!       print*,'Q2 L=',k,q2(ig,k)
!
                                                          enddo
      enddo

      else if (iflag_pbl==8.or.iflag_pbl==9) then
!====================================================================
!   Yamada 2.5 a la Didi
!====================================================================


!  Calcul de l,  km, au pas precedent
      do k=2,klev
                                                          do ig=1,ngrid
!        print*,'SMML=',sm(ig,k),l(ig,k)
         delta(ig,k)=q2(ig,k)/(l(ig,k)**2*sm(ig,k))
         if (delta(ig,k).lt.1.e-20) then
!     print*,'ATTENTION   L=',k,'   Delta=',delta(ig,k)
            delta(ig,k)=1.e-20
         endif
         km(ig,k)=l(ig,k)*sqrt(q2(ig,k))*sm(ig,k)
         aa0=(m2(ig,k)-alpha(ig,k)*n2(ig,k)-delta(ig,k)/b1)
         aa1=(m2(ig,k)*(1.-rif(ig,k))-delta(ig,k)/b1)
! abder      print*,'AA L=',k,aa0,aa1,aa1/max(m2(ig,k),1.e-20)
         aa(ig,k)=aa1*timestep/(delta(ig,k)*l(ig,k))
!     print*,'0L=',k,l(ig,k),delta(ig,k),km(ig,k)
         qpre=sqrt(q2(ig,k))
!        if (iflag_pbl.eq.8 ) then
            if (aa(ig,k).gt.0.) then
               q2(ig,k)=(qpre+aa(ig,k)*qpre*qpre)**2
            else
               q2(ig,k)=(qpre/(1.-aa(ig,k)*qpre))**2
            endif
!        else ! iflag_pbl=9
!           if (aa(ig,k)*qpre.gt.0.9) then
!              q2(ig,k)=(qpre*10.)**2
!           else
!              q2(ig,k)=(qpre/(1.-aa(ig,k)*qpre))**2
!           endif
!        endif
         q2(ig,k)=min(max(q2(ig,k),1.e-10),1.e4)
!     print*,'Q2 L=',k,q2(ig,k),qpre*qpre
                                                          enddo
      enddo

      else if (iflag_pbl>=10) then

!        print*,'Schema mixte D'
!        print*,'Longueur ',l(:,:)
         do k=2,klev-1
            l(:,k)=max(l(:,k),1.)
            km(:,k)=l(:,k)*sqrt(q2(:,k))*sm(:,k)
            q2(:,k)=q2(:,k)+timestep*km(:,k)*m2(:,k)*(1.-rif(:,k))
            q2(:,k)=min(max(q2(:,k),1.e-10),1.e4)
            q2(:,k)=1./(1./sqrt(q2(:,k))+timestep/(2*l(:,k)*b1))
            q2(:,k)=q2(:,k)*q2(:,k)
         enddo


      else
         stop'Cas nom prevu dans yamada4'

      endif ! Fin du cas 8

!     print*,'OK8'

!====================================================================
!   Calcul des coefficients de m�ange
!====================================================================
      do k=2,klev
!     print*,'k=',k
                                                          do ig=1,ngrid
!abde      print*,'KML=',l(ig,k),q2(ig,k),sm(ig,k)
         zq=sqrt(q2(ig,k))
         km(ig,k)=l(ig,k)*zq*sm(ig,k)
         kn(ig,k)=km(ig,k)*alpha(ig,k)
         kq(ig,k)=l(ig,k)*zq*0.2
!     print*,'KML=',km(ig,k),kn(ig,k)
                                                          enddo
      enddo

! Transport diffusif vertical de la TKE.
      if (iflag_pbl.ge.12) then
!       print*,'YAMADA VDIF'
        q2(:,1)=q2(:,2)
        call vdif_q2(timestep,RG,RD,ngrid,plev,zt,kq,q2)
      endif

!   Traitement des cas noctrunes avec l'introduction d'une longueur
!   minilale.

!====================================================================
!   Traitement particulier pour les cas tres stables.
!   D'apres Holtslag Boville.

      if (prt_level>1) THEN
       print*,'YAMADA4 0'
      endif !(prt_level>1) THEN
                                                          do ig=1,ngrid
      coriol(ig)=1.e-4
      pblhmin(ig)=0.07*ustar(ig)/max(abs(coriol(ig)),2.546e-5)
                                                          enddo

!     print*,'pblhmin ',pblhmin
!Test a remettre 21 11 02
! test abd 13 05 02      if(0.eq.1) then
      if(1==1) then
      if(iflag_pbl==8.or.iflag_pbl==10) then

      do k=2,klev
         do ig=1,ngrid
            if (teta(ig,2).gt.teta(ig,1)) then
               qmin=ustar(ig)*(max(1.-zlev(ig,k)/pblhmin(ig),0.))**2
               kmin=kap*zlev(ig,k)*qmin
            else
               kmin=-1. ! kmin n'est utilise que pour les SL stables.
            endif 
            if (kn(ig,k).lt.kmin.or.km(ig,k).lt.kmin) then
!               print*,'Seuil min Km K=',k,kmin,km(ig,k),kn(ig,k)
!     s           ,sqrt(q2(ig,k)),pblhmin(ig),qmin/sm(ig,k)
               kn(ig,k)=kmin
               km(ig,k)=kmin
               kq(ig,k)=kmin
!   la longueur de melange est suposee etre l= kap z
!   K=l q Sm d'ou q2=(K/l Sm)**2
               q2(ig,k)=(qmin/sm(ig,k))**2
            endif
         enddo
      enddo

      else

      do k=2,klev
         do ig=1,ngrid
            if (teta(ig,2).gt.teta(ig,1)) then
               qmin=ustar(ig)*(max(1.-zlev(ig,k)/pblhmin(ig),0.))**2
               kmin=kap*zlev(ig,k)*qmin
            else
               kmin=-1. ! kmin n'est utilise que pour les SL stables.
            endif 
            if (kn(ig,k).lt.kmin.or.km(ig,k).lt.kmin) then
!               print*,'Seuil min Km K=',k,kmin,km(ig,k),kn(ig,k)
!     s           ,sqrt(q2(ig,k)),pblhmin(ig),qmin/sm(ig,k)
               kn(ig,k)=kmin
               km(ig,k)=kmin
               kq(ig,k)=kmin
!   la longueur de melange est suposee etre l= kap z
!   K=l q Sm d'ou q2=(K/l Sm)**2
               sm(ig,k)=1.
               alpha(ig,k)=1.
               q2(ig,k)=min((qmin/sm(ig,k))**2,10.)
               zq=sqrt(q2(ig,k))
               km(ig,k)=l(ig,k)*zq*sm(ig,k)
               kn(ig,k)=km(ig,k)*alpha(ig,k)
               kq(ig,k)=l(ig,k)*zq*0.2
            endif
         enddo
      enddo
      endif

      endif

      if (prt_level>1) THEN
       print*,'YAMADA4 1'
      endif !(prt_level>1) THEN
!   Diagnostique pour stokage

      if(1.eq.0)then
      rino=rif
      smyam(1:ngrid,1)=0.
      styam(1:ngrid,1)=0.
      lyam(1:ngrid,1)=0.
      knyam(1:ngrid,1)=0.
      w2yam(1:ngrid,1)=0.
      t2yam(1:ngrid,1)=0.

      smyam(1:ngrid,2:klev)=sm(1:ngrid,2:klev)
      styam(1:ngrid,2:klev)=sm(1:ngrid,2:klev)*alpha(1:ngrid,2:klev)
      lyam(1:ngrid,2:klev)=l(1:ngrid,2:klev)
      knyam(1:ngrid,2:klev)=kn(1:ngrid,2:klev)

!   Estimations de w'2 et T'2 d'apres Abdela et McFarlane

      w2yam(1:ngrid,2:klev)=q2(1:ngrid,2:klev)*0.24 &
     &    +lyam(1:ngrid,2:klev)*5.17*kn(1:ngrid,2:klev) &
     &    *n2(1:ngrid,2:klev)/sqrt(q2(1:ngrid,2:klev))

      t2yam(1:ngrid,2:klev)=9.1*kn(1:ngrid,2:klev) &
     &    *dtetadz(1:ngrid,2:klev)**2 &
     &    /sqrt(q2(1:ngrid,2:klev))*lyam(1:ngrid,2:klev)
      endif

!     print*,'OKFIN'
      first=.false.
      return
      end