source: codes/icosagcm/trunk/src/dissip_gcm.f90 @ 186

MODULE dissip_gcm_mod
  USE icosa

  PRIVATE

  TYPE(t_field),POINTER,SAVE :: f_due_diss1(:)
  TYPE(t_field),POINTER,SAVE :: f_due_diss2(:)

  TYPE(t_field),POINTER,SAVE :: f_theta(:), f_phi(:), f_pk(:), f_pks(:), f_p(:)
  TYPE(t_field),POINTER,SAVE :: f_dtheta_diss(:)
  TYPE(t_field),POINTER,SAVE :: f_dtheta_rhodz_diss(:)
  TYPE(t_message),SAVE :: req_due, req_dtheta 
 
  INTEGER,SAVE :: nitergdiv=1
!$OMP THREADPRIVATE(nitergdiv)
  INTEGER,SAVE :: nitergrot=1
!$OMP THREADPRIVATE(nitergrot)
  INTEGER,SAVE :: niterdivgrad=1
!$OMP THREADPRIVATE(niterdivgrad)

  REAL,ALLOCATABLE,SAVE :: tau_graddiv(:)
!$OMP THREADPRIVATE(tau_graddiv)
  REAL,ALLOCATABLE,SAVE :: tau_gradrot(:)
!$OMP THREADPRIVATE(tau_gradrot)
  REAL,ALLOCATABLE,SAVE :: tau_divgrad(:)
!$OMP THREADPRIVATE(tau_divgrad)
  
  REAL,SAVE :: cgraddiv
!$OMP THREADPRIVATE(cgraddiv)
  REAL,SAVE :: cgradrot
!$OMP THREADPRIVATE(cgradrot)
  REAL,SAVE :: cdivgrad
!$OMP THREADPRIVATE(cdivgrad)

  INTEGER, SAVE :: rayleigh_friction_type, rayleigh_shear
!$OMP THREADPRIVATE(rayleigh_friction_type)
  REAL, SAVE    :: rayleigh_tau
!$OMP THREADPRIVATE(rayleigh_shear)
  
  REAL,SAVE    :: dtdissip
!$OMP THREADPRIVATE(dtdissip)
 
  PUBLIC init_dissip, dissip
CONTAINS

  SUBROUTINE allocate_dissip
  USE icosa
  IMPLICIT NONE  
    CALL allocate_field(f_due_diss1,field_u,type_real,llm)
    CALL allocate_field(f_due_diss2,field_u,type_real,llm)
    CALL allocate_field(f_theta,field_t,type_real,llm)
    CALL allocate_field(f_dtheta_diss,field_t,type_real,llm)
    CALL allocate_field(f_dtheta_rhodz_diss,field_t,type_real,llm)

    CALL allocate_field(f_phi,field_t,type_real,llm)
    CALL allocate_field(f_pk,field_t,type_real,llm)
    CALL allocate_field(f_p,field_t,type_real,llm+1)
    CALL allocate_field(f_pks,field_t,type_real)
    
    ALLOCATE(tau_graddiv(llm))
    ALLOCATE(tau_gradrot(llm))    
    ALLOCATE(tau_divgrad(llm))
  END SUBROUTINE allocate_dissip
 
  SUBROUTINE init_dissip
  USE icosa
  USE disvert_mod
  USE mpi_mod
  USE mpipara
  USE transfert_mod
  USE time_mod
  USE transfert_omp_mod
  IMPLICIT NONE
  
  TYPE(t_field),POINTER,SAVE  :: f_u(:)
  TYPE(t_field),POINTER,SAVE  :: f_du(:)
  REAL(rstd),POINTER     :: u(:)
  REAL(rstd),POINTER     :: du(:)
  TYPE(t_field),POINTER,SAVE  :: f_theta(:)
  TYPE(t_field),POINTER ,SAVE :: f_dtheta(:)
  REAL(rstd),POINTER    :: theta(:)
  REAL(rstd),POINTER    :: dtheta(:)
  REAL(rstd)            :: dumax,dumax1
  REAL(rstd)            :: dthetamax,dthetamax1
  REAL(rstd)            :: r
  REAL(rstd)            :: tau
  REAL(rstd)            :: zz, zvert, fact
  INTEGER               :: l
  CHARACTER(len=255)    :: rayleigh_friction_key
  REAL(rstd)            :: mintau
  INTEGER               :: seed_size
  INTEGER,ALLOCATABLE   :: seed(:)
  
            
  INTEGER :: i,j,ij,ind,it,iter

   rayleigh_friction_key='none'
   CALL getin("rayleigh_friction_type",rayleigh_friction_key)
   SELECT CASE(TRIM(rayleigh_friction_key))
   CASE('none')
      rayleigh_friction_type=0
      IF (is_mpi_root) PRINT *, 'No Rayleigh friction'
   CASE('dcmip2_schaer_noshear')
      rayleigh_friction_type=1
      rayleigh_shear=0
      IF (is_mpi_root) PRINT *, 'Rayleigh friction : Schaer-like mountain without shear DCMIP2.1'
   CASE('dcmip2_schaer_shear')
      rayleigh_shear=1
      rayleigh_friction_type=2
      IF (is_mpi_root) PRINT *, 'Rayleigh friction : Schaer-like mountain with shear DCMIP2.2'
   CASE DEFAULT
      IF (is_mpi_root) PRINT *, 'Bad selector : rayleigh_friction_type =', TRIM(rayleigh_friction_key), ' in dissip_gcm.f90/init_dissip'
      STOP
   END SELECT

   IF(rayleigh_friction_type>0) THEN
      rayleigh_tau=0.
      CALL getin("rayleigh_friction_tau",rayleigh_tau)
      rayleigh_tau = rayleigh_tau / scale_factor
      IF(rayleigh_tau<=0) THEN
         IF (is_mpi_root) PRINT *, 'Forbidden : negative value for rayleigh_friction_tau =',rayleigh_tau
         STOP
      END IF
   END IF

    CALL allocate_dissip
    CALL allocate_field(f_u,field_u,type_real)
    CALL allocate_field(f_du,field_u,type_real)
    CALL allocate_field(f_theta,field_t,type_real)
    CALL allocate_field(f_dtheta,field_t,type_real)
    
    CALL init_message(f_due_diss1,req_e1_vect,req_due)
    CALL init_message(f_dtheta_diss,req_i1,req_dtheta)

    tau_graddiv(:)=5000
    CALL getin("tau_graddiv",tau)
    tau_graddiv(:)=tau/scale_factor

    CALL getin("nitergdiv",nitergdiv)
    
    tau_gradrot(:)=5000
    CALL getin("tau_gradrot",tau)
    tau_gradrot(:)=tau/scale_factor

    CALL getin("nitergrot",nitergrot)
    

    tau_divgrad(:)=5000
    CALL getin("tau_divgrad",tau)
    tau_divgrad(:)=tau/scale_factor

    CALL getin("niterdivgrad",niterdivgrad)


    cgraddiv=-1
    cdivgrad=-1
    cgradrot=-1
    
    DO ind=1,ndomain
      IF (.NOT. assigned_domain(ind)) CYCLE
      CALL swap_dimensions(ind)
      CALL swap_geometry(ind)
      u=f_u(ind)

      DO j=jj_begin,jj_end
        DO i=ii_begin,ii_end
          ij=(j-1)*iim+i   
          CALL RANDOM_NUMBER(r)
          u(ij+u_right)=r-0.5
          CALL RANDOM_NUMBER(r)
          u(ij+u_lup)=r-0.5
          CALL RANDOM_NUMBER(r)
          u(ij+u_ldown)=r-0.5
        ENDDO
      ENDDO        
    ENDDO
  


    DO it=1,20
      
      dumax=0
      DO iter=1,nitergdiv
        CALL transfert_request(f_u,req_e1_vect)
        DO ind=1,ndomain
          IF (.NOT. assigned_domain(ind)) CYCLE
          CALL swap_dimensions(ind)
          CALL swap_geometry(ind)
          u=f_u(ind)
          du=f_du(ind)
          CALL compute_gradiv(u,du,1,1)
          u=du
        ENDDO
      ENDDO

      CALL transfert_request(f_du,req_e1_vect)
      
      DO ind=1,ndomain
        IF (.NOT. assigned_domain(ind)) CYCLE
        CALL swap_dimensions(ind)
        CALL swap_geometry(ind)
        u=f_u(ind)
        du=f_du(ind)
         
        DO j=jj_begin,jj_end
          DO i=ii_begin,ii_end
            ij=(j-1)*iim+i   
            if (le(ij+u_right)>1e-100) dumax=MAX(dumax,ABS(du(ij+u_right)))
            if (le(ij+u_lup)>1e-100)   dumax=MAX(dumax,ABS(du(ij+u_lup)))
            if (le(ij+u_ldown)>1e-100) dumax=MAX(dumax,ABS(du(ij+u_ldown)))
          ENDDO
        ENDDO
      ENDDO

      IF (using_mpi) THEN 
        CALL reduce_sum_omp(dumax,dumax1)
!$OMP MASTER        
        CALL MPI_ALLREDUCE(dumax1,dumax,1,MPI_REAL8,MPI_MAX,comm_icosa,ierr)
!$OMP END MASTER     
        CALL bcast_omp(dumax)  
      ELSE
        CALL allreduce_sum_omp(dumax,dumax1)
        dumax=dumax1
      ENDIF  
                        
      DO ind=1,ndomain
        IF (.NOT. assigned_domain(ind)) CYCLE
        CALL swap_dimensions(ind)
        CALL swap_geometry(ind)
        u=f_u(ind)
        du=f_du(ind)
        u=du/dumax
      ENDDO
      IF (is_mpi_root) PRINT *,"gradiv : it :",it ,": dumax",dumax

    ENDDO 
    IF (is_mpi_root) PRINT *,"gradiv : dumax",dumax
    IF (is_mpi_root) PRINT *, 'mean T-cell edge size (km)', 1.45*radius/iim_glo/1000., &
                              'effective T-cell half-edge size (km)', dumax**(-.5/nitergdiv)/1000
    IF (is_mpi_root)  PRINT *, 'Max. time step assuming c=340 m/s and Courant number=2.8 :', &
                               2.8/340.*dumax**(-.5/nitergdiv)

    cgraddiv=dumax**(-1./nitergdiv)
    IF (is_mpi_root) PRINT *,"cgraddiv : ",cgraddiv

    DO ind=1,ndomain
      IF (.NOT. assigned_domain(ind)) CYCLE
      CALL swap_dimensions(ind)
      CALL swap_geometry(ind)
      u=f_u(ind)

      DO j=jj_begin,jj_end
        DO i=ii_begin,ii_end
          ij=(j-1)*iim+i   
          CALL RANDOM_NUMBER(r)
          u(ij+u_right)=r-0.5
          CALL RANDOM_NUMBER(r)
          u(ij+u_lup)=r-0.5
          CALL RANDOM_NUMBER(r)
          u(ij+u_ldown)=r-0.5
        ENDDO
      ENDDO        
    ENDDO


    DO it=1,20
 
      dumax=0
      DO iter=1,nitergrot
        CALL transfert_request(f_u,req_e1_vect)
        DO ind=1,ndomain
          IF (.NOT. assigned_domain(ind)) CYCLE
          CALL swap_dimensions(ind)
          CALL swap_geometry(ind)
          u=f_u(ind)
          du=f_du(ind)
          CALL compute_gradrot(u,du,1,1)
          u=du
        ENDDO
      ENDDO

      CALL transfert_request(f_du,req_e1_vect)
      
      DO ind=1,ndomain
        IF (.NOT. assigned_domain(ind)) CYCLE
        CALL swap_dimensions(ind)
        CALL swap_geometry(ind)
        u=f_u(ind)
        du=f_du(ind)
        
        DO j=jj_begin,jj_end
          DO i=ii_begin,ii_end
            ij=(j-1)*iim+i   
            if (le(ij+u_right)>1e-100) dumax=MAX(dumax,ABS(du(ij+u_right)))
            if (le(ij+u_lup)>1e-100) dumax=MAX(dumax,ABS(du(ij+u_lup)))
            if (le(ij+u_ldown)>1e-100) dumax=MAX(dumax,ABS(du(ij+u_ldown)))
          ENDDO
        ENDDO
      ENDDO

      IF (using_mpi) THEN 
        CALL reduce_sum_omp(dumax,dumax1)
!$OMP MASTER        
        CALL MPI_ALLREDUCE(dumax1,dumax,1,MPI_REAL8,MPI_MAX,comm_icosa,ierr)
!$OMP END MASTER     
        CALL bcast_omp(dumax)  
      ELSE
        CALL allreduce_sum_omp(dumax,dumax1)
        dumax=dumax1
      ENDIF  

      
      DO ind=1,ndomain
        IF (.NOT. assigned_domain(ind)) CYCLE
        CALL swap_dimensions(ind)
        CALL swap_geometry(ind)
        u=f_u(ind)
        du=f_du(ind)
        u=du/dumax
      ENDDO
      
      IF (is_mpi_root) PRINT *,"gradrot : it :",it ,": dumax",dumax

    ENDDO 
    IF (is_mpi_root) PRINT *,"gradrot : dumax",dumax
  
    cgradrot=dumax**(-1./nitergrot) 
    IF (is_mpi_root) PRINT *,"cgradrot : ",cgradrot
   


    DO ind=1,ndomain
      IF (.NOT. assigned_domain(ind)) CYCLE
      CALL swap_dimensions(ind)
      CALL swap_geometry(ind)
      theta=f_theta(ind)
 
      DO j=jj_begin,jj_end
        DO i=ii_begin,ii_end
          ij=(j-1)*iim+i   
          CALL RANDOM_NUMBER(r)
          theta(ij)=r-0.5
        ENDDO
      ENDDO  
    ENDDO

    DO it=1,20

      dthetamax=0
      DO iter=1,niterdivgrad
        CALL transfert_request(f_theta,req_i1)
        DO ind=1,ndomain
          IF (.NOT. assigned_domain(ind)) CYCLE
          CALL swap_dimensions(ind)
          CALL swap_geometry(ind)
          theta=f_theta(ind)
          dtheta=f_dtheta(ind)
          CALL compute_divgrad(theta,dtheta,1,1)
          theta=dtheta
        ENDDO
      ENDDO

      CALL transfert_request(f_dtheta,req_i1)
      
      DO ind=1,ndomain
        IF (.NOT. assigned_domain(ind)) CYCLE
        CALL swap_dimensions(ind)
        CALL swap_geometry(ind)
        theta=f_theta(ind)
        dtheta=f_dtheta(ind)
        
        DO j=jj_begin,jj_end
          DO i=ii_begin,ii_end
            ij=(j-1)*iim+i   
            dthetamax=MAX(dthetamax,ABS(dtheta(ij)))
          ENDDO
        ENDDO
      ENDDO

      IF (using_mpi) THEN 
        CALL reduce_sum_omp(dthetamax ,dthetamax1)
!$OMP MASTER        
        CALL MPI_ALLREDUCE(dthetamax1,dthetamax,1,MPI_REAL8,MPI_MAX,comm_icosa,ierr)
!$OMP END MASTER     
        CALL bcast_omp(dthetamax)  
      ELSE
        CALL allreduce_sum_omp(dthetamax,dthetamax1)
        dumax=dumax1
      ENDIF  
      
      IF (is_mpi_root) PRINT *,"divgrad : it :",it ,": dthetamax",dthetamax

      DO ind=1,ndomain
        IF (.NOT. assigned_domain(ind)) CYCLE
        CALL swap_dimensions(ind)
        CALL swap_geometry(ind)
        theta=f_theta(ind)
        dtheta=f_dtheta(ind)
        theta=dtheta/dthetamax
      ENDDO
    ENDDO 

    IF (is_mpi_root) PRINT *,"divgrad : divgrad",dthetamax
  
    cdivgrad=dthetamax**(-1./niterdivgrad) 
    IF (is_mpi_root) PRINT *,"cdivgrad : ",cdivgrad

     
    fact=2
    DO l=1,llm
       IF(ap_bp_present) THEN ! height-dependent dissipation
          zz= 1. - preff/presnivs(l)
       ELSE
          zz = 0.
       END IF
       zvert=fact-(fact-1)/(1+zz*zz)
       tau_graddiv(l) = tau_graddiv(l)/zvert
       tau_gradrot(l) = tau_gradrot(l)/zvert
       tau_divgrad(l) = tau_divgrad(l)/zvert
    ENDDO

    mintau=tau_graddiv(1)
    DO l=1,llm
      mintau=MIN(mintau,tau_graddiv(l))
      mintau=MIN(mintau,tau_gradrot(l))
      mintau=MIN(mintau,tau_divgrad(l))
    ENDDO
       
    itau_dissip=INT(mintau/dt)
    itau_dissip=MAX(1,itau_dissip)
    dtdissip=itau_dissip*dt
    IF (is_mpi_root) PRINT *,"mintau ",mintau,"itau_dissip",itau_dissip," dtdissip ",dtdissip

  END SUBROUTINE init_dissip 
 
  
  SUBROUTINE dissip(f_ue,f_due,f_mass,f_phis,f_theta_rhodz,f_dtheta_rhodz)
  USE icosa
  USE theta2theta_rhodz_mod
  USE pression_mod
  USE exner_mod
  USE geopotential_mod
  USE trace
  USE time_mod
  USE omp_para
  IMPLICIT NONE
    TYPE(t_field),POINTER :: f_ue(:)
    TYPE(t_field),POINTER :: f_due(:)
    TYPE(t_field),POINTER :: f_mass(:), f_phis(:)
    TYPE(t_field),POINTER :: f_theta_rhodz(:)
    TYPE(t_field),POINTER :: f_dtheta_rhodz(:)

    REAL(rstd),POINTER         :: due(:,:)
    REAL(rstd),POINTER         :: phi(:,:), ue(:,:)
    REAL(rstd),POINTER         :: due_diss1(:,:)
    REAL(rstd),POINTER         :: due_diss2(:,:)
    REAL(rstd),POINTER         :: dtheta_rhodz(:,:)
    REAL(rstd),POINTER         :: dtheta_rhodz_diss(:,:)

    INTEGER :: ind, shear
    INTEGER :: l,ij

!$OMP BARRIER
    
    CALL trace_start("dissip")
    CALL gradiv(f_ue,f_due_diss1)
    CALL gradrot(f_ue,f_due_diss2)

    CALL divgrad_theta_rhodz(f_mass,f_theta_rhodz,f_dtheta_rhodz_diss)
    
! later for openmp    
!    IF(rayleigh_friction_type>0) THEN
!       CALL pression(f_ps, f_p)
!       CALL exner(f_ps, f_p, f_pks, f_pk)
!       CALL geopotential(f_phis,f_pks,f_pk,f_theta,f_phi)
!    END IF

    DO ind=1,ndomain
      IF (.NOT. assigned_domain(ind)) CYCLE
      CALL swap_dimensions(ind)
      CALL swap_geometry(ind)
      due=f_due(ind) 
      due_diss1=f_due_diss1(ind)
      due_diss2=f_due_diss2(ind)
      dtheta_rhodz=f_dtheta_rhodz(ind)
      dtheta_rhodz_diss=f_dtheta_rhodz_diss(ind)

      DO l=ll_begin,ll_end
!$SIMD
        DO ij=ij_begin,ij_end

            due(ij+u_right,l) = -0.5*( due_diss1(ij+u_right,l)/tau_graddiv(l) + due_diss2(ij+u_right,l)/tau_gradrot(l))*itau_dissip 
            due(ij+u_lup,l)   = -0.5*( due_diss1(ij+u_lup,l)  /tau_graddiv(l) + due_diss2(ij+u_lup,l)  /tau_gradrot(l))*itau_dissip
            due(ij+u_ldown,l) = -0.5*( due_diss1(ij+u_ldown,l)/tau_graddiv(l) + due_diss2(ij+u_ldown,l)/tau_gradrot(l))*itau_dissip

            dtheta_rhodz(ij,l) = -0.5*dtheta_rhodz_diss(ij,l)/tau_divgrad(l)*itau_dissip
        ENDDO
      ENDDO

!      dtheta_rhodz=0
!      due=0

! later for openmp  
!      IF(rayleigh_friction_type>0) THEN
!         phi=f_phi(ind)
!         ue=f_ue(ind)
!         DO l=1,llm
!            DO j=jj_begin,jj_end
!               DO i=ii_begin,ii_end
!                  n=(j-1)*iim+i
!                  CALL relax(t_right, u_right)
!                  CALL relax(t_lup,   u_lup)
!                  CALL relax(t_ldown, u_ldown)
!               ENDDO
!            ENDDO
!         END DO
!      END IF
   END DO

   CALL trace_end("dissip")

!$OMP BARRIER

    CONTAINS
      SUBROUTINE relax(shift_t, shift_u)
        USE dcmip_initial_conditions_test_1_2_3
        REAL(rstd) :: z, ulon,ulat, lon,lat, & ! input to test2_schaer_mountain
             p,hyam,hybm,w,t,phis,ps,rho,q, &   ! unused input/output to test2_schaer_mountain
             fz, u3d(3), uref
        REAL(rstd), PARAMETER :: zh=2e4,ztop=3e4  ! DCMIP values
        LOGICAL :: hybrid_eta
        INTEGER :: shift_u, shift_t, zcoords, nn
        z = (phi(ij,l)+phi(ij+shift_t,l))/(2.*g)
        IF(z>zh) THEN  ! relax only in the sponge layer z>zh

           nn = ij+shift_u
           CALL xyz2lonlat(xyz_e(nn,:),lon,lat)
           zcoords = 1 ; hybrid_eta = .FALSE. ! use z instead of p or hyam/hybm
           CALL test2_schaer_mountain(lon,lat,p,z,zcoords,hybrid_eta, &
                hyam,hybm,shear,ulon,ulat,w,t,phis,ps,rho,q)
!           u3d = ulon*elon_e(nn,:) + ulat*elat_e(nn,:)
           u3d = ulon*elon_e(nn,:) ! ulat=0
           uref = sum(u3d*ep_e(nn,:))

           fz = sin((pi/2)*(z-zh)/(ztop-zh))
           fz = fz*fz/rayleigh_tau
!           fz = 1/rayleigh_tau
           due(nn,l) = due(nn,l) - fz*(ue(nn,l)-uref)
!           due(nn,l) = due(nn,l) - fz*ue(nn,l)
         END IF
       END SUBROUTINE relax
      
  END SUBROUTINE dissip

  SUBROUTINE gradiv(f_ue,f_due)
  USE icosa
  USE trace
  USE omp_para
  IMPLICIT NONE
    TYPE(t_field),POINTER :: f_ue(:)
    TYPE(t_field),POINTER :: f_due(:)
    REAL(rstd),POINTER    :: ue(:,:)
    REAL(rstd),POINTER    :: due(:,:)
    INTEGER :: ind
    INTEGER :: it,l,ij
       
    CALL trace_start("gradiv")

    DO ind=1,ndomain
      IF (.NOT. assigned_domain(ind)) CYCLE
      CALL swap_dimensions(ind)
      CALL swap_geometry(ind)
      ue=f_ue(ind)
      due=f_due(ind) 
      DO  l = ll_begin, ll_end
!$SIMD
        DO ij=ij_begin,ij_end
             due(ij+u_right,l)=ue(ij+u_right,l)
             due(ij+u_lup,l)=ue(ij+u_lup,l)
             due(ij+u_ldown,l)=ue(ij+u_ldown,l)
        ENDDO
      ENDDO
    ENDDO

    DO it=1,nitergdiv
        
      CALL send_message(f_due,req_due)
      CALL wait_message(req_due)
        
      DO ind=1,ndomain
        IF (.NOT. assigned_domain(ind)) CYCLE
        CALL swap_dimensions(ind)
        CALL swap_geometry(ind)
        due=f_due(ind) 
        CALL compute_gradiv(due,due,ll_begin,ll_end)
      ENDDO
    ENDDO

   CALL trace_end("gradiv")

  END SUBROUTINE gradiv
  

  SUBROUTINE gradrot(f_ue,f_due)
  USE icosa
  USE trace
  USE omp_para
  IMPLICIT NONE
    TYPE(t_field),POINTER :: f_ue(:)
    TYPE(t_field),POINTER :: f_due(:)
    REAL(rstd),POINTER    :: ue(:,:)
    REAL(rstd),POINTER    :: due(:,:)
    INTEGER :: ind
    INTEGER :: it,l,ij
       
    CALL trace_start("gradrot")

    DO ind=1,ndomain
      IF (.NOT. assigned_domain(ind)) CYCLE
      CALL swap_dimensions(ind)
      CALL swap_geometry(ind)
      ue=f_ue(ind)
      due=f_due(ind) 
      DO  l = ll_begin, ll_end
!$SIMD
        DO ij=ij_begin,ij_end
             due(ij+u_right,l)=ue(ij+u_right,l)
             due(ij+u_lup,l)=ue(ij+u_lup,l)
             due(ij+u_ldown,l)=ue(ij+u_ldown,l)
        ENDDO
      ENDDO
    ENDDO

    DO it=1,nitergrot
        
      CALL send_message(f_due,req_due)
      CALL wait_message(req_due)
        
      DO ind=1,ndomain
        IF (.NOT. assigned_domain(ind)) CYCLE
        CALL swap_dimensions(ind)
        CALL swap_geometry(ind)
        due=f_due(ind) 
        CALL compute_gradrot(due,due,ll_begin,ll_end)
      ENDDO

    ENDDO

    CALL trace_end("gradrot")

  END SUBROUTINE gradrot
  
  SUBROUTINE divgrad(f_theta,f_dtheta)
  USE icosa
  USE trace
  USE omp_para
  IMPLICIT NONE
    TYPE(t_field),POINTER :: f_theta(:)
    TYPE(t_field),POINTER :: f_dtheta(:)
    REAL(rstd),POINTER    :: theta(:,:)
    REAL(rstd),POINTER    :: dtheta(:,:)
    INTEGER :: ind
    INTEGER :: it

    CALL trace_start("divgrad")
       
    DO ind=1,ndomain
      IF (.NOT. assigned_domain(ind)) CYCLE
      CALL swap_dimensions(ind)
      CALL swap_geometry(ind)
      theta=f_theta(ind)
      dtheta=f_dtheta(ind) 
      dtheta=theta
    ENDDO

    DO it=1,niterdivgrad
        
      CALL transfert_request(f_dtheta,req_i1)
        
      DO ind=1,ndomain
        IF (.NOT. assigned_domain(ind)) CYCLE
        CALL swap_dimensions(ind)
        CALL swap_geometry(ind)
        dtheta=f_dtheta(ind) 
        CALL compute_divgrad(dtheta,dtheta,ll_begin,ll_end)
      ENDDO

    ENDDO

    CALL trace_end("divgrad")

  END SUBROUTINE divgrad
   
  SUBROUTINE divgrad_theta_rhodz(f_mass,f_theta_rhodz,f_dtheta_rhodz)
  USE icosa
  USE trace
  USE omp_para
  IMPLICIT NONE
    TYPE(t_field),POINTER :: f_mass(:)
    TYPE(t_field),POINTER :: f_theta_rhodz(:)
    TYPE(t_field),POINTER :: f_dtheta_rhodz(:)
    
    REAL(rstd),POINTER :: mass(:,:)
    REAL(rstd),POINTER :: theta_rhodz(:,:)
    REAL(rstd),POINTER :: dtheta_rhodz(:,:)

    INTEGER :: ind
    INTEGER :: it,l,ij

    CALL trace_start("divgrad")
       
    DO ind=1,ndomain
      IF (.NOT. assigned_domain(ind)) CYCLE
      CALL swap_dimensions(ind)
      CALL swap_geometry(ind)
      mass=f_mass(ind)
      theta_rhodz=f_theta_rhodz(ind)
      dtheta_rhodz=f_dtheta_rhodz(ind) 
      DO  l = ll_begin, ll_end
!$SIMD
        DO ij=ij_begin,ij_end
            dtheta_rhodz(ij,l) = theta_rhodz(ij,l) / mass(ij,l)
        ENDDO
      ENDDO
    ENDDO

    DO it=1,niterdivgrad
        
      CALL send_message(f_dtheta_rhodz,req_dtheta)
      CALL wait_message(req_dtheta)
      DO ind=1,ndomain
        IF (.NOT. assigned_domain(ind)) CYCLE
        CALL swap_dimensions(ind)
        CALL swap_geometry(ind)
        dtheta_rhodz=f_dtheta_rhodz(ind) 
        CALL compute_divgrad(dtheta_rhodz,dtheta_rhodz,ll_begin,ll_end)
      ENDDO

    ENDDO

    DO ind=1,ndomain
      IF (.NOT. assigned_domain(ind)) CYCLE
      CALL swap_dimensions(ind)
      CALL swap_geometry(ind)
      dtheta_rhodz=f_dtheta_rhodz(ind) 
      mass=f_mass(ind)
    
      DO  l = ll_begin, ll_end
!$SIMD
        DO ij=ij_begin,ij_end
            dtheta_rhodz(ij,l) = dtheta_rhodz(ij,l) * mass(ij,l)
        ENDDO
      ENDDO
    ENDDO


    CALL trace_end("divgrad")

  END SUBROUTINE divgrad_theta_rhodz  
  
  SUBROUTINE compute_gradiv(ue,gradivu_e,llb,lle)
  USE icosa
  IMPLICIT NONE
    INTEGER,INTENT(IN)     :: llb
    INTEGER,INTENT(IN)     :: lle
    REAL(rstd),INTENT(IN)  :: ue(iim*3*jjm,llm)
    REAL(rstd),INTENT(OUT) :: gradivu_e(iim*3*jjm,llm)
    REAL(rstd) :: divu_i(iim*jjm,llb:lle)
    
    INTEGER :: ij,l

    DO l=llb,lle
!$SIMD
      DO ij=ij_begin,ij_end
          divu_i(ij,l)=1./Ai(ij)*(ne(ij,right)*ue(ij+u_right,l)*le(ij+u_right)  +  &
                             ne(ij,rup)*ue(ij+u_rup,l)*le(ij+u_rup)        +  &  
                             ne(ij,lup)*ue(ij+u_lup,l)*le(ij+u_lup)        +  &  
                             ne(ij,left)*ue(ij+u_left,l)*le(ij+u_left)     +  &  
                             ne(ij,ldown)*ue(ij+u_ldown,l)*le(ij+u_ldown)  +  &  
                             ne(ij,rdown)*ue(ij+u_rdown,l)*le(ij+u_rdown))
      ENDDO
    ENDDO
    
    DO l=llb,lle
!$SIMD
      DO ij=ij_begin,ij_end
 
          gradivu_e(ij+u_right,l)=-1/de(ij+u_right)*(ne(ij,right)*divu_i(ij,l)+ ne(ij+t_right,left)*divu_i(ij+t_right,l) )       

          gradivu_e(ij+u_lup,l)=-1/de(ij+u_lup)*(ne(ij,lup)*divu_i(ij,l)+ ne(ij+t_lup,rdown)*divu_i(ij+t_lup,l))       
    
          gradivu_e(ij+u_ldown,l)=-1/de(ij+u_ldown)*(ne(ij,ldown)*divu_i(ij,l)+ne(ij+t_ldown,rup)*divu_i(ij+t_ldown,l) )

      ENDDO
    ENDDO

    DO l=llb,lle
!$SIMD
      DO ij=ij_begin,ij_end
          gradivu_e(ij+u_right,l)=-gradivu_e(ij+u_right,l)*cgraddiv
          gradivu_e(ij+u_lup,l)=-gradivu_e(ij+u_lup,l)*cgraddiv
          gradivu_e(ij+u_ldown,l)=-gradivu_e(ij+u_ldown,l)*cgraddiv
      ENDDO
    ENDDO

   
  END SUBROUTINE compute_gradiv
  
  SUBROUTINE compute_divgrad(theta,divgrad_i,llb,lle)
  USE icosa
  IMPLICIT NONE
    INTEGER,INTENT(IN)     :: llb
    INTEGER,INTENT(IN)     :: lle
    REAL(rstd),INTENT(IN)  :: theta(iim*jjm,llm)
    REAL(rstd),INTENT(OUT) :: divgrad_i(iim*jjm,llm)
    REAL(rstd)  :: grad_e(3*iim*jjm,llb:lle)

    INTEGER :: ij,l

       
    DO l=llb,lle
!$SIMD
      DO ij=ij_begin_ext,ij_end_ext
 
          grad_e(ij+u_right,l)=-1/de(ij+u_right)*(ne(ij,right)*theta(ij,l)+ ne(ij+t_right,left)*theta(ij+t_right,l) )        

          grad_e(ij+u_lup,l)=-1/de(ij+u_lup)*(ne(ij,lup)*theta(ij,l)+ ne(ij+t_lup,rdown)*theta(ij+t_lup,l ))       
    
          grad_e(ij+u_ldown,l)=-1/de(ij+u_ldown)*(ne(ij,ldown)*theta(ij,l)+ne(ij+t_ldown,rup)*theta(ij+t_ldown,l) )

      ENDDO
    ENDDO
    
    
    DO l=llb,lle
!$SIMD
      DO ij=ij_begin,ij_end

          divgrad_i(ij,l)=1./Ai(ij)*(ne(ij,right)*grad_e(ij+u_right,l)*le(ij+u_right)  +  &
                             ne(ij,rup)*grad_e(ij+u_rup,l)*le(ij+u_rup)              +  &  
                             ne(ij,lup)*grad_e(ij+u_lup,l)*le(ij+u_lup)              +  &  
                             ne(ij,left)*grad_e(ij+u_left,l)*le(ij+u_left)           +  &  
                             ne(ij,ldown)*grad_e(ij+u_ldown,l)*le(ij+u_ldown)        +  &  
                             ne(ij,rdown)*grad_e(ij+u_rdown,l)*le(ij+u_rdown))
      ENDDO
    ENDDO
   
    DO l=llb,lle
      DO ij=ij_begin,ij_end
          divgrad_i(ij,l)=-divgrad_i(ij,l)*cdivgrad
      ENDDO
    ENDDO

  END SUBROUTINE compute_divgrad

    
  SUBROUTINE compute_gradrot(ue,gradrot_e,llb,lle)
  USE icosa
  IMPLICIT NONE
    INTEGER,INTENT(IN)     :: llb
    INTEGER,INTENT(IN)     :: lle
    REAL(rstd),INTENT(IN)  :: ue(iim*3*jjm,llm)
    REAL(rstd),INTENT(OUT) :: gradrot_e(iim*3*jjm,llm)
    REAL(rstd) :: rot_v(2*iim*jjm,llb:lle)

    INTEGER :: ij,l
     
    DO l=llb,lle
!$SIMD
      DO ij=ij_begin_ext,ij_end_ext
        
          rot_v(ij+z_up,l)= 1./Av(ij+z_up)*(  ne(ij,rup)*ue(ij+u_rup,l)*de(ij+u_rup)                     &
                                + ne(ij+t_rup,left)*ue(ij+t_rup+u_left,l)*de(ij+t_rup+u_left)          &
                                - ne(ij,lup)*ue(ij+u_lup,l)*de(ij+u_lup) ) 
                              
          rot_v(ij+z_down,l) = 1./Av(ij+z_down)*( ne(ij,ldown)*ue(ij+u_ldown,l)*de(ij+u_ldown)                 &
                                     + ne(ij+t_ldown,right)*ue(ij+t_ldown+u_right,l)*de(ij+t_ldown+u_right)  &
                                     - ne(ij,rdown)*ue(ij+u_rdown,l)*de(ij+u_rdown) )
  
      ENDDO
    ENDDO                              
  
    DO l=llb,lle
!$SIMD
      DO ij=ij_begin,ij_end
  
          gradrot_e(ij+u_right,l)=1/le(ij+u_right)*ne(ij,right)*(rot_v(ij+z_rdown,l)-rot_v(ij+z_rup,l)) 
         
          gradrot_e(ij+u_lup,l)=1/le(ij+u_lup)*ne(ij,lup)*(rot_v(ij+z_up,l)-rot_v(ij+z_lup,l)) 
        
          gradrot_e(ij+u_ldown,l)=1/le(ij+u_ldown)*ne(ij,ldown)*(rot_v(ij+z_ldown,l)-rot_v(ij+z_down,l))
        
      ENDDO
    ENDDO

    DO l=llb,lle
!$SIMD
      DO ij=ij_begin,ij_end
    
          gradrot_e(ij+u_right,l)=-gradrot_e(ij+u_right,l)*cgradrot       
          gradrot_e(ij+u_lup,l)=-gradrot_e(ij+u_lup,l)*cgradrot
          gradrot_e(ij+u_ldown,l)=-gradrot_e(ij+u_ldown,l)*cgradrot
        
      ENDDO
    ENDDO  
   
  END SUBROUTINE compute_gradrot


END MODULE dissip_gcm_mod