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MODULE agrif_ice_interp
!!=====================================================================================
!! *** MODULE agrif_ice_interp ***
!! Nesting module : interp surface ice boundary condition from a parent grid
!!=====================================================================================
!! History : 2.0 ! 04-2008 (F. Dupont) initial version
!! 3.4 ! 09-2012 (R. Benshila, C. Herbaut) update and EVP
!! 4.0 ! 2018 (C. Rousset) SI3 compatibility
!!----------------------------------------------------------------------
#if defined key_agrif && defined key_si3
!!----------------------------------------------------------------------
!! 'key_si3' SI3 sea-ice model
!! 'key_agrif' AGRIF library
!!----------------------------------------------------------------------
!! agrif_interp_ice : interpolation of ice at "after" sea-ice time step
!! interp_u_ice : atomic routine to interpolate u_ice
!! interp_v_ice : atomic routine to interpolate v_ice
!! interp_tra_ice : atomic routine to interpolate ice properties
!!----------------------------------------------------------------------
USE par_oce
USE dom_oce
USE sbc_oce
USE ice
USE agrif_ice
USE agrif_oce
USE phycst , ONLY: rt0
USE icevar
USE sbc_ice, ONLY : tn_ice
USE lbclnk
IMPLICIT NONE
PRIVATE
PUBLIC agrif_interp_ice ! called by agrif_user.F90
PUBLIC agrif_istate_ice ! called by icerst.F90
!!----------------------------------------------------------------------
!! NEMO/NST 4.0 , NEMO Consortium (2018)
!! $Id: agrif_ice_interp.F90 15031 2021-06-21 10:05:41Z jchanut $
!! Software governed by the CeCILL license (see ./LICENSE)
!!----------------------------------------------------------------------
CONTAINS
SUBROUTINE agrif_istate_ice
!!-----------------------------------------------------------------------
!! *** ROUTINE agrif_istate_ice ***
!!
!! ** Method : Set initial ice fields from parent grid
!!
!!-----------------------------------------------------------------------
IF(lwp) WRITE(numout,*) ' '
IF(lwp) WRITE(numout,*) 'Agrif_istate_ice : interp child ice initial state from parent'
IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~~'
IF(lwp) WRITE(numout,*) ' '
! Set a_i, v_i, v_s, sv_i, oa_i, a_ip, v_ip, t_su, e_s, e_i:
Agrif_SpecialValue = -9999.
Agrif_UseSpecialValue = .TRUE.
CALL Agrif_init_variable(tra_iceini_id,procname=interp_tra_ice)
!
CALL lbc_lnk( 'agrif_istate_ice', a_i,'T',1._wp, v_i,'T',1._wp, &
& v_s,'T',1._wp, sv_i,'T',1._wp, oa_i,'T',1._wp, &
& a_ip,'T',1._wp, v_ip,'T',1._wp, v_il,'T',1._wp )
CALL lbc_lnk( 'agrif_istate_ice', t_su,'T',1._wp )
CALL lbc_lnk( 'agrif_istate_ice', e_s,'T',1._wp )
CALL lbc_lnk( 'agrif_istate_ice', e_i,'T',1._wp )
!
! Set u_ice, v_ice:
use_sign_north = .TRUE.
sign_north = -1.
! JC: setting special value to -9999. with north Fold crossing
! does not work probably because of the sign change.
! it's likely that the same issue could occur at boundaries
! but leave it as is for the time being
Agrif_SpecialValue = 0._wp
CALL Agrif_init_variable(u_iceini_id ,procname=interp_u_ice)
CALL Agrif_init_variable(v_iceini_id ,procname=interp_v_ice)
use_sign_north = .FALSE.
Agrif_UseSpecialValue = .FALSE.
!
CALL lbc_lnk( 'agrif_istate_ice', u_ice, 'U', -1._wp, v_ice, 'V', -1._wp )
!
CALL ice_var_glo2eqv
!
END SUBROUTINE agrif_istate_ice
SUBROUTINE agrif_interp_ice( cd_type, kiter, kitermax )
!!-----------------------------------------------------------------------
!! *** ROUTINE agrif_interp_ice ***
!!
!! ** Method : simple call to atomic routines using stored values to
!! fill the boundaries depending of the position of the point and
!! computing factor for time interpolation
!!-----------------------------------------------------------------------
CHARACTER(len=1), INTENT(in ) :: cd_type
INTEGER , INTENT(in ), OPTIONAL :: kiter, kitermax
!!
REAL(wp) :: zbeta ! local scalar
!!-----------------------------------------------------------------------
!
IF( Agrif_Root() .OR. nn_ice==0 ) RETURN ! do not interpolate if inside Parent Grid or if child domain does not have ice
!
SELECT CASE( cd_type )
CASE('U','V')
IF( PRESENT( kiter ) ) THEN ! interpolation at the child ice sub-time step (only for ice rheology)
zbeta = ( REAL(nbstep_ice) - REAL(kitermax - kiter) / REAL(kitermax) ) / &
& ( Agrif_Rhot() * REAL(Agrif_Parent(nn_fsbc)) / REAL(nn_fsbc) )
ELSE ! interpolation at the child ice time step
zbeta = REAL(nbstep_ice) / ( Agrif_Rhot() * REAL(Agrif_Parent(nn_fsbc)) / REAL(nn_fsbc) )
ENDIF
CASE('T')
zbeta = REAL(nbstep_ice) / ( Agrif_Rhot() * REAL(Agrif_Parent(nn_fsbc)) / REAL(nn_fsbc) )
END SELECT
!
Agrif_SpecialValue = -9999.
Agrif_UseSpecialValue = .TRUE.
use_sign_north = .TRUE.
sign_north = -1.
if (cd_type == 'T') use_sign_north = .FALSE.
SELECT CASE( cd_type )
CASE('U') ; CALL Agrif_Bc_variable( u_ice_id , procname=interp_u_ice , calledweight=zbeta )
CASE('V') ; CALL Agrif_Bc_variable( v_ice_id , procname=interp_v_ice , calledweight=zbeta )
CASE('T') ; CALL Agrif_Bc_variable( tra_ice_id, procname=interp_tra_ice, calledweight=zbeta )
END SELECT
Agrif_SpecialValue = 0._wp
Agrif_UseSpecialValue = .FALSE.
use_sign_north = .FALSE.
!
END SUBROUTINE agrif_interp_ice
SUBROUTINE interp_u_ice( ptab, i1, i2, j1, j2, before )
!!-----------------------------------------------------------------------
!! *** ROUTINE interp_u_ice ***
!!
!! i1 i2 j1 j2 are the index of the boundaries parent(when before) and child (when after)
!! To solve issues when parent grid is "land" masked but not all the corresponding child
!! grid points, put Agrif_SpecialValue WHERE the parent grid is masked.
!! The child solution will be found in the 9(?) points around
!!-----------------------------------------------------------------------
INTEGER , INTENT(in ) :: i1, i2, j1, j2
REAL(wp), DIMENSION(i1:i2,j1:j2), INTENT(inout) :: ptab
LOGICAL , INTENT(in ) :: before
!!
REAL(wp) :: zrhoy ! local scalar
!!-----------------------------------------------------------------------
!
IF( before ) THEN ! parent grid
ptab(i1:i2,j1:j2) = e2u(i1:i2,j1:j2) * u_ice(i1:i2,j1:j2)
WHERE( umask(i1:i2,j1:j2,1) == 0. ) ptab(i1:i2,j1:j2) = Agrif_SpecialValue
ELSE ! child grid
zrhoy = Agrif_Rhoy()
u_ice(i1:i2,j1:j2) = ptab(i1:i2,j1:j2) / ( e2u(i1:i2,j1:j2) * zrhoy ) * umask(i1:i2,j1:j2,1)
ENDIF
!
END SUBROUTINE interp_u_ice
SUBROUTINE interp_v_ice( ptab, i1, i2, j1, j2, before )
!!-----------------------------------------------------------------------
!! *** ROUTINE interp_v_ice ***
!!
!! i1 i2 j1 j2 are the index of the boundaries parent(when before) and child (when after)
!! To solve issues when parent grid is "land" masked but not all the corresponding child
!! grid points, put Agrif_SpecialValue WHERE the parent grid is masked.
!! The child solution will be found in the 9(?) points around
!!-----------------------------------------------------------------------
INTEGER , INTENT(in ) :: i1, i2, j1, j2
REAL(wp), DIMENSION(i1:i2,j1:j2), INTENT(inout) :: ptab
LOGICAL , INTENT(in ) :: before
!!
REAL(wp) :: zrhox ! local scalar
!!-----------------------------------------------------------------------
!
IF( before ) THEN ! parent grid
ptab(i1:i2,j1:j2) = e1v(i1:i2,j1:j2) * v_ice(i1:i2,j1:j2)
WHERE( vmask(i1:i2,j1:j2,1) == 0. ) ptab(i1:i2,j1:j2) = Agrif_SpecialValue
ELSE ! child grid
zrhox = Agrif_Rhox()
v_ice(i1:i2,j1:j2) = ptab(i1:i2,j1:j2) / ( e1v(i1:i2,j1:j2) * zrhox ) * vmask(i1:i2,j1:j2,1)
ENDIF
!
END SUBROUTINE interp_v_ice
SUBROUTINE interp_tra_ice( ptab, i1, i2, j1, j2, k1, k2, before, nb, ndir )
!!-----------------------------------------------------------------------
!! *** ROUTINE interp_tra_ice ***
!!
!! i1 i2 j1 j2 are the index of the boundaries parent(when before) and child (when after)
!! To solve issues when parent grid is "land" masked but not all the corresponding child
!! grid points, put Agrif_SpecialValue WHERE the parent grid is masked.
!! The child solution will be found in the 9(?) points around
!!-----------------------------------------------------------------------
REAL(wp), DIMENSION(i1:i2,j1:j2,k1:k2), INTENT(inout) :: ptab
INTEGER , INTENT(in ) :: i1, i2, j1, j2, k1, k2
LOGICAL , INTENT(in ) :: before
INTEGER , INTENT(in ) :: nb, ndir
!!
INTEGER :: ji, jj, jk, jl, jm
INTEGER :: imin, imax, jmin, jmax
LOGICAL :: western_side, eastern_side, northern_side, southern_side
REAL(wp) :: zrhox, z1, z2, z3, z4, z5, z6, z7
REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztab
!!-----------------------------------------------------------------------
! tracers are not multiplied by grid cell here => before: * e1e2t ; after: * r1_e1e2t / rhox / rhoy
! and it is ok since we conserve tracers (same as in the ocean).
ALLOCATE( ztab(SIZE(a_i,1),SIZE(a_i,2),SIZE(ptab,3)) )
IF( before ) THEN ! parent grid
jm = 1
DO jl = 1, jpl
ptab(i1:i2,j1:j2,jm ) = a_i (i1:i2,j1:j2,jl)
ptab(i1:i2,j1:j2,jm+1) = v_i (i1:i2,j1:j2,jl)
ptab(i1:i2,j1:j2,jm+2) = v_s (i1:i2,j1:j2,jl)
ptab(i1:i2,j1:j2,jm+3) = sv_i(i1:i2,j1:j2,jl)
ptab(i1:i2,j1:j2,jm+4) = oa_i(i1:i2,j1:j2,jl)
ptab(i1:i2,j1:j2,jm+5) = a_ip(i1:i2,j1:j2,jl)
ptab(i1:i2,j1:j2,jm+6) = v_ip(i1:i2,j1:j2,jl)
ptab(i1:i2,j1:j2,jm+7) = v_il(i1:i2,j1:j2,jl)
ptab(i1:i2,j1:j2,jm+8) = t_su(i1:i2,j1:j2,jl)
jm = jm + 9
DO jk = 1, nlay_s
ptab(i1:i2,j1:j2,jm) = e_s(i1:i2,j1:j2,jk,jl) ; jm = jm + 1
END DO
DO jk = 1, nlay_i
ptab(i1:i2,j1:j2,jm) = e_i(i1:i2,j1:j2,jk,jl) ; jm = jm + 1
END DO
END DO
DO jk = k1, k2
WHERE( tmask(i1:i2,j1:j2,1) == 0._wp ) ptab(i1:i2,j1:j2,jk) = Agrif_SpecialValue
END DO
!
ELSE ! child grid
!
! IF( nbghostcells > 1 ) THEN ! ==> The easiest interpolation is used
!
jm = 1
DO jl = 1, jpl
!
DO jj = j1, j2
DO ji = i1, i2
a_i (ji,jj,jl) = ptab(ji,jj,jm ) * tmask(ji,jj,1)
v_i (ji,jj,jl) = ptab(ji,jj,jm+1) * tmask(ji,jj,1)
v_s (ji,jj,jl) = ptab(ji,jj,jm+2) * tmask(ji,jj,1)
sv_i(ji,jj,jl) = ptab(ji,jj,jm+3) * tmask(ji,jj,1)
oa_i(ji,jj,jl) = ptab(ji,jj,jm+4) * tmask(ji,jj,1)
a_ip(ji,jj,jl) = ptab(ji,jj,jm+5) * tmask(ji,jj,1)
v_ip(ji,jj,jl) = ptab(ji,jj,jm+6) * tmask(ji,jj,1)
v_il(ji,jj,jl) = ptab(ji,jj,jm+7) * tmask(ji,jj,1)
t_su(ji,jj,jl) = ptab(ji,jj,jm+8) * tmask(ji,jj,1)
END DO
END DO
jm = jm + 9
!
DO jk = 1, nlay_s
e_s(i1:i2,j1:j2,jk,jl) = ptab(i1:i2,j1:j2,jm) * tmask(i1:i2,j1:j2,1)
jm = jm + 1
END DO
!
DO jk = 1, nlay_i
e_i(i1:i2,j1:j2,jk,jl) = ptab(i1:i2,j1:j2,jm) * tmask(i1:i2,j1:j2,1)
jm = jm + 1
END DO
!
END DO
!
!!==> clem: this interpolation does not work because it creates negative values, due
!! to negative coefficients when mixing points (for ex. z7)
!!
! ELSE ! ==> complex interpolation (only one ghost cell available)
! !! Use a more complex interpolation since we mix solutions over a couple of grid points
! !! it is advised to use it for fields modified by high order schemes (e.g. advection UM5...)
! ! record ztab
! jm = 1
! DO jl = 1, jpl
! ztab(:,:,jm ) = a_i (:,:,jl)
! ztab(:,:,jm+1) = v_i (:,:,jl)
! ztab(:,:,jm+2) = v_s (:,:,jl)
! ztab(:,:,jm+3) = sv_i(:,:,jl)
! ztab(:,:,jm+4) = oa_i(:,:,jl)
! ztab(:,:,jm+5) = a_ip(:,:,jl)
! ztab(:,:,jm+6) = v_ip(:,:,jl)
! ztab(:,:,jm+7) = v_il(:,:,jl)
! ztab(:,:,jm+8) = t_su(:,:,jl)
! jm = jm + 9
! DO jk = 1, nlay_s
! ztab(:,:,jm) = e_s(:,:,jk,jl)
! jm = jm + 1
! END DO
! DO jk = 1, nlay_i
! ztab(:,:,jm) = e_i(:,:,jk,jl)
! jm = jm + 1
! END DO
! !
! END DO
! !
! ! borders of the domain
! western_side = (nb == 1).AND.(ndir == 1) ; eastern_side = (nb == 1).AND.(ndir == 2)
! southern_side = (nb == 2).AND.(ndir == 1) ; northern_side = (nb == 2).AND.(ndir == 2)
! !
! ! spatial smoothing
! zrhox = Agrif_Rhox()
! z1 = ( zrhox - 1. ) * 0.5
! z3 = ( zrhox - 1. ) / ( zrhox + 1. )
! z6 = 2. * ( zrhox - 1. ) / ( zrhox + 1. )
! z7 = - ( zrhox - 1. ) / ( zrhox + 3. )
! z2 = 1. - z1
! z4 = 1. - z3
! z5 = 1. - z6 - z7
! !
! ! Remove corners
! imin = i1 ; imax = i2 ; jmin = j1 ; jmax = j2
! IF( (nbondj == -1) .OR. (nbondj == 2) ) jmin = 3
! IF( (nbondj == +1) .OR. (nbondj == 2) ) jmax = jpj-2
! IF( (nbondi == -1) .OR. (nbondi == 2) ) imin = 3
! IF( (nbondi == +1) .OR. (nbondi == 2) ) imax = jpi-2
!
! ! smoothed fields
! IF( eastern_side ) THEN
! ztab(jpi,j1:j2,:) = z1 * ptab(jpi,j1:j2,:) + z2 * ptab(jpi-1,j1:j2,:)
! DO jj = jmin, jmax
! rswitch = 0.
! IF( u_ice(jpi-2,jj) > 0._wp ) rswitch = 1.
! ztab(jpi-1,jj,:) = ( 1. - umask(jpi-2,jj,1) ) * ztab(jpi,jj,:) &
! & + umask(jpi-2,jj,1) * &
! & ( (1. - rswitch) * ( z4 * ztab(jpi ,jj,:) + z3 * ztab(jpi-2,jj,:) ) &
! & + rswitch * ( z6 * ztab(jpi-2,jj,:) + z5 * ztab(jpi ,jj,:) + z7 * ztab(jpi-3,jj,:) ) )
! ztab(jpi-1,jj,:) = ztab(jpi-1,jj,:) * tmask(jpi-1,jj,1)
! END DO
! ENDIF
! !
! IF( northern_side ) THEN
! ztab(i1:i2,jpj,:) = z1 * ptab(i1:i2,jpj,:) + z2 * ptab(i1:i2,jpj-1,:)
! DO ji = imin, imax
! rswitch = 0.
! IF( v_ice(ji,jpj-2) > 0._wp ) rswitch = 1.
! ztab(ji,jpj-1,:) = ( 1. - vmask(ji,jpj-2,1) ) * ztab(ji,jpj,:) &
! & + vmask(ji,jpj-2,1) * &
! & ( (1. - rswitch) * ( z4 * ztab(ji,jpj ,:) + z3 * ztab(ji,jpj-2,:) ) &
! & + rswitch * ( z6 * ztab(ji,jpj-2,:) + z5 * ztab(ji,jpj ,:) + z7 * ztab(ji,jpj-3,:) ) )
! ztab(ji,jpj-1,:) = ztab(ji,jpj-1,:) * tmask(ji,jpj-1,1)
! END DO
! END IF
! !
! IF( western_side) THEN
! ztab(1,j1:j2,:) = z1 * ptab(1,j1:j2,:) + z2 * ptab(2,j1:j2,:)
! DO jj = jmin, jmax
! rswitch = 0.
! IF( u_ice(2,jj) < 0._wp ) rswitch = 1.
! ztab(2,jj,:) = ( 1. - umask(2,jj,1) ) * ztab(1,jj,:) &
! & + umask(2,jj,1) * &
! & ( ( 1. - rswitch ) * ( z4 * ztab(1,jj,:) + z3 * ztab(3,jj,:) ) &
! & + rswitch * ( z6 * ztab(3,jj,:) + z5 * ztab(1,jj,:) + z7 * ztab(4,jj,:) ) )
! ztab(2,jj,:) = ztab(2,jj,:) * tmask(2,jj,1)
! END DO
! ENDIF
! !
! IF( southern_side ) THEN
! ztab(i1:i2,1,:) = z1 * ptab(i1:i2,1,:) + z2 * ptab(i1:i2,2,:)
! DO ji = imin, imax
! rswitch = 0.
! IF( v_ice(ji,2) < 0._wp ) rswitch = 1.
! ztab(ji,2,:) = ( 1. - vmask(ji,2,1) ) * ztab(ji,1,:) &
! & + vmask(ji,2,1) * &
! & ( ( 1. - rswitch ) * ( z4 * ztab(ji,1,:) + z3 * ztab(ji,3,:) ) &
! & + rswitch * ( z6 * ztab(ji,3,:) + z5 * ztab(ji,1,:) + z7 * ztab(ji,4,:) ) )
! ztab(ji,2,:) = ztab(ji,2,:) * tmask(ji,2,1)
! END DO
! END IF
! !
! ! Treatment of corners
! IF( (eastern_side) .AND. ((nbondj == -1).OR.(nbondj == 2)) ) ztab(jpi-1,2 ,:) = ptab(jpi-1, 2,:) ! East south
! IF( (eastern_side) .AND. ((nbondj == 1).OR.(nbondj == 2)) ) ztab(jpi-1,jpj-1,:) = ptab(jpi-1,jpj-1,:) ! East north
! IF( (western_side) .AND. ((nbondj == -1).OR.(nbondj == 2)) ) ztab( 2, 2,:) = ptab( 2, 2,:) ! West south
! IF( (western_side) .AND. ((nbondj == 1).OR.(nbondj == 2)) ) ztab( 2,jpj-1,:) = ptab( 2,jpj-1,:) ! West north
!
! ! retrieve ice tracers
! jm = 1
! DO jl = 1, jpl
! !
! DO jj = j1, j2
! DO ji = i1, i2
! a_i (ji,jj,jl) = ztab(ji,jj,jm ) * tmask(ji,jj,1)
! v_i (ji,jj,jl) = ztab(ji,jj,jm+1) * tmask(ji,jj,1)
! v_s (ji,jj,jl) = ztab(ji,jj,jm+2) * tmask(ji,jj,1)
! sv_i(ji,jj,jl) = ztab(ji,jj,jm+3) * tmask(ji,jj,1)
! oa_i(ji,jj,jl) = ztab(ji,jj,jm+4) * tmask(ji,jj,1)
! a_ip(ji,jj,jl) = ztab(ji,jj,jm+5) * tmask(ji,jj,1)
! v_ip(ji,jj,jl) = ztab(ji,jj,jm+6) * tmask(ji,jj,1)
! v_il(ji,jj,jl) = ztab(ji,jj,jm+7) * tmask(ji,jj,1)
! t_su(ji,jj,jl) = ztab(ji,jj,jm+8) * tmask(ji,jj,1)
! END DO
! END DO
! jm = jm + 9
! !
! DO jk = 1, nlay_s
! e_s(i1:i2,j1:j2,jk,jl) = ztab(i1:i2,j1:j2,jm) * tmask(i1:i2,j1:j2,1)
! jm = jm + 1
! END DO
! !
! DO jk = 1, nlay_i
! e_i(i1:i2,j1:j2,jk,jl) = ztab(i1:i2,j1:j2,jm) * tmask(i1:i2,j1:j2,1)
! jm = jm + 1
! END DO
! !
! END DO
!
! ENDIF ! nbghostcells=1
DO jl = 1, jpl
WHERE( tmask(i1:i2,j1:j2,1) == 0._wp ) t_su(i1:i2,j1:j2,jl) = rt0 ! to avoid a division by 0 in sbcblk.F90
END DO
!
ENDIF
DEALLOCATE( ztab )
!
END SUBROUTINE interp_tra_ice
#else
!!----------------------------------------------------------------------
!! Empty module no sea-ice
!!----------------------------------------------------------------------
CONTAINS
SUBROUTINE agrif_ice_interp_empty
WRITE(*,*) 'agrif_ice_interp : You should not have seen this print! error?'
END SUBROUTINE agrif_ice_interp_empty
#endif
!!======================================================================
END MODULE agrif_ice_interp