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#define SPONGE && define SPONGE_TOP
MODULE agrif_oce_sponge
!!======================================================================
!! *** MODULE agrif_oce_interp ***
!! AGRIF: sponge package for the ocean dynamics (OCE)
!!======================================================================
!! History : 2.0 ! 2002-06 (XXX) Original cade
!! - ! 2005-11 (XXX)
!! 3.2 ! 2009-04 (R. Benshila)
!! 3.6 ! 2014-09 (R. Benshila)
!!----------------------------------------------------------------------
#if defined key_agrif
!!----------------------------------------------------------------------
!! 'key_agrif' AGRIF zoom
!!----------------------------------------------------------------------
USE par_oce
USE oce
USE dom_oce
!
USE in_out_manager
USE agrif_oce
USE lbclnk ! ocean lateral boundary conditions (or mpp link)
USE iom
USE vremap
IMPLICIT NONE
PRIVATE
PUBLIC Agrif_Sponge, Agrif_Sponge_2d, Agrif_Sponge_Tra, Agrif_Sponge_Dyn
PUBLIC interptsn_sponge, interpun_sponge, interpvn_sponge
PUBLIC interpunb_sponge, interpvnb_sponge
!! * Substitutions
# include "domzgr_substitute.h90"
# include "do_loop_substitute.h90"
!!----------------------------------------------------------------------
!! NEMO/NST 4.0 , NEMO Consortium (2018)
!! $Id: agrif_oce_sponge.F90 15437 2021-10-22 12:21:20Z jchanut $
!! Software governed by the CeCILL license (see ./LICENSE)
!!----------------------------------------------------------------------
CONTAINS
SUBROUTINE Agrif_Sponge_Tra
!!----------------------------------------------------------------------
!! *** ROUTINE Agrif_Sponge_Tra ***
!!----------------------------------------------------------------------
REAL(wp) :: zcoef ! local scalar
INTEGER :: istart, iend, jstart, jend
!!----------------------------------------------------------------------
!
#if defined SPONGE
!! Assume persistence:
zcoef = REAL(Agrif_rhot()-1,wp)/REAL(Agrif_rhot())
Agrif_SpecialValue = 0._wp
Agrif_UseSpecialValue = l_spc_tra
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l_vremap = ln_vert_remap
tabspongedone_tsn = .FALSE.
!
CALL Agrif_Bc_Variable( ts_sponge_id, calledweight=zcoef, procname=interptsn_sponge )
!
Agrif_UseSpecialValue = .FALSE.
l_vremap = .FALSE.
#endif
!
CALL iom_put( 'agrif_spu', fspu(:,:))
CALL iom_put( 'agrif_spv', fspv(:,:))
!
END SUBROUTINE Agrif_Sponge_Tra
SUBROUTINE Agrif_Sponge_dyn
!!----------------------------------------------------------------------
!! *** ROUTINE Agrif_Sponge_dyn ***
!!----------------------------------------------------------------------
REAL(wp) :: zcoef ! local scalar
!!----------------------------------------------------------------------
!
#if defined SPONGE
zcoef = REAL(Agrif_rhot()-1,wp)/REAL(Agrif_rhot())
Agrif_SpecialValue = 0._wp
Agrif_UseSpecialValue = ln_spc_dyn
l_vremap = ln_vert_remap
use_sign_north = .TRUE.
sign_north = -1._wp
!
tabspongedone_u = .FALSE.
tabspongedone_v = .FALSE.
CALL Agrif_Bc_Variable( un_sponge_id, calledweight=zcoef, procname=interpun_sponge )
!
tabspongedone_u = .FALSE.
tabspongedone_v = .FALSE.
CALL Agrif_Bc_Variable( vn_sponge_id, calledweight=zcoef, procname=interpvn_sponge )
IF ( nn_shift_bar>0 ) THEN ! then split sponge between 2d and 3d
zcoef = REAL(Agrif_NbStepint(),wp)/REAL(Agrif_rhot()) ! forward tsplit
tabspongedone_u = .FALSE.
tabspongedone_v = .FALSE.
CALL Agrif_Bc_Variable( unb_sponge_id, calledweight=zcoef, procname=interpunb_sponge )
!
tabspongedone_u = .FALSE.
tabspongedone_v = .FALSE.
CALL Agrif_Bc_Variable( vnb_sponge_id, calledweight=zcoef, procname=interpvnb_sponge )
ENDIF
!
Agrif_UseSpecialValue = .FALSE.
use_sign_north = .FALSE.
l_vremap = .FALSE.
!
#endif
!
CALL iom_put( 'agrif_spt', fspt(:,:))
CALL iom_put( 'agrif_spf', fspf(:,:))
!
END SUBROUTINE Agrif_Sponge_dyn
SUBROUTINE Agrif_Sponge
!!----------------------------------------------------------------------
!! *** ROUTINE Agrif_Sponge ***
!!----------------------------------------------------------------------
INTEGER :: ji, jj, ind1, ind2
INTEGER :: ispongearea, jspongearea
REAL(wp) :: z1_ispongearea, z1_jspongearea
REAL(wp), DIMENSION(jpi,jpj) :: ztabramp
!!----------------------------------------------------------------------
!
! Sponge 1d example with:
! iraf = 3 ; nbghost = 3 ; nn_sponge_len = 2
!
!coarse : U T U T U T U
!| | | | |
!fine : t u t u t u t u t u t u t u t u t u t u t
!sponge val:0 1 1 1 1 5/6 4/6 3/6 2/6 1/6 0
! | ghost | <-- sponge area -- > |
! | points | |
! |--> dynamical interface
#if defined SPONGE || defined SPONGE_TOP
! Define ramp from boundaries towards domain interior at F-points
! Store it in ztabramp
ispongearea = nn_sponge_len * Agrif_irhox()
z1_ispongearea = 1._wp / REAL( MAX(ispongearea,1), wp )
jspongearea = nn_sponge_len * Agrif_irhoy()
z1_jspongearea = 1._wp / REAL( MAX(jspongearea,1), wp )
ztabramp(:,:) = 0._wp
IF( lk_west ) THEN ! --- West --- !
ind1 = nn_hls + nbghostcells ! halo + nbghostcells
ind2 = nn_hls + nbghostcells + ispongearea
DO ji = mi0(ind1), mi1(ind2)
DO jj = 1, jpj
ztabramp(ji,jj) = REAL(ind2 - mig(ji), wp) * z1_ispongearea
END DO
END DO
! ghost cells:
ind1 = 1
ind2 = nn_hls + nbghostcells ! halo + nbghostcells
DO ji = mi0(ind1), mi1(ind2)
DO jj = 1, jpj
ztabramp(ji,jj) = 1._wp
END DO
END DO
ENDIF
IF( lk_east ) THEN ! --- East --- !
ind1 = jpiglo - ( nn_hls + nbghostcells -1 ) - ispongearea - 1
ind2 = jpiglo - ( nn_hls + nbghostcells -1 ) - 1 ! halo + land + nbghostcells - 1
DO ji = mi0(ind1), mi1(ind2)
DO jj = 1, jpj
ztabramp(ji,jj) = MAX( ztabramp(ji,jj), REAL(mig(ji) - ind1, wp) * z1_ispongearea )
END DO
END DO
! ghost cells:
ind1 = jpiglo - ( nn_hls + nbghostcells -1 ) - 1 ! halo + land + nbghostcells - 1
ind2 = jpiglo - 1
DO ji = mi0(ind1), mi1(ind2)
DO jj = 1, jpj
ztabramp(ji,jj) = 1._wp
END DO
END DO
ENDIF
IF( lk_south ) THEN ! --- South --- !
ind1 = nn_hls + nbghostcells ! halo + nbghostcells
ind2 = nn_hls + nbghostcells + jspongearea
DO jj = mj0(ind1), mj1(ind2)
DO ji = 1, jpi
ztabramp(ji,jj) = MAX( ztabramp(ji,jj), REAL(ind2 - mjg(jj), wp) * z1_jspongearea )
END DO
END DO
! ghost cells:
ind1 = 1
ind2 = nn_hls + nbghostcells ! halo + nbghostcells
DO jj = mj0(ind1), mj1(ind2)
DO ji = 1, jpi
ztabramp(ji,jj) = 1._wp
END DO
END DO
ENDIF
IF( lk_north ) THEN ! --- North --- !
ind1 = jpjglo - ( nn_hls + nbghostcells -1 ) - jspongearea - 1
ind2 = jpjglo - ( nn_hls + nbghostcells -1 ) - 1 ! halo + nbghostcells - 1
DO jj = mj0(ind1), mj1(ind2)
DO ji = 1, jpi
ztabramp(ji,jj) = MAX( ztabramp(ji,jj), REAL(mjg(jj) - ind1, wp) * z1_jspongearea )
END DO
END DO
! ghost cells:
ind1 = jpjglo - ( nn_hls + nbghostcells -1 ) ! halo + land + nbghostcells - 1
ind2 = jpjglo
DO jj = mj0(ind1), mj1(ind2)
DO ji = 1, jpi
ztabramp(ji,jj) = 1._wp
END DO
END DO
ENDIF
!
! Tracers
fspu(:,:) = 0._wp
fspv(:,:) = 0._wp
DO_2D( 0, 0, 0, 0 )
fspu(ji,jj) = 0.5_wp * ( ztabramp(ji,jj) + ztabramp(ji,jj-1) ) * ssumask(ji,jj)
fspv(ji,jj) = 0.5_wp * ( ztabramp(ji,jj) + ztabramp(ji-1,jj) ) * ssvmask(ji,jj)
END_2D
! Dynamics
fspt(:,:) = 0._wp
fspf(:,:) = 0._wp
DO_2D( 0, 0, 0, 0 )
fspt(ji,jj) = 0.25_wp * ( ztabramp(ji ,jj ) + ztabramp(ji-1,jj ) &
& +ztabramp(ji ,jj-1) + ztabramp(ji-1,jj-1) ) * ssmask(ji,jj)
fspf(ji,jj) = ztabramp(ji,jj) * ssvmask(ji,jj) * ssvmask(ji,jj+1)
END_2D
CALL lbc_lnk( 'agrif_Sponge', fspu, 'U', 1._wp, fspv, 'V', 1._wp, fspt, 'T', 1._wp, fspf, 'F', 1._wp )
!
! Remove vertical interpolation where not needed:
! (A null value in mbkx arrays does the job)
WHERE (ssumask(:,:) == 0._wp) mbku_parent(:,:) = 0
WHERE (ssvmask(:,:) == 0._wp) mbkv_parent(:,:) = 0
WHERE (ssmask(:,:) == 0._wp) mbkt_parent(:,:) = 0
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!
#endif
!
END SUBROUTINE Agrif_Sponge
SUBROUTINE Agrif_Sponge_2d
!!----------------------------------------------------------------------
!! *** ROUTINE Agrif_Sponge_2d ***
!!----------------------------------------------------------------------
INTEGER :: ji, jj, ind1, ind2, ishift, jshift
INTEGER :: ispongearea, jspongearea
REAL(wp) :: z1_ispongearea, z1_jspongearea
REAL(wp), DIMENSION(jpi,jpj) :: ztabramp
!!----------------------------------------------------------------------
!
! Sponge 1d example with:
! iraf = 3 ; nbghost = 3 ; nn_sponge_len = 2
!
!coarse : U T U T U T U
!| | | | |
!fine : t u t u t u t u t u t u t u t u t u t u t
!sponge val:0 1 1 1 1 5/6 4/6 3/6 2/6 1/6 0
! | ghost | <-- sponge area -- > |
! | points | |
! |--> dynamical interface
#if defined SPONGE || defined SPONGE_TOP
! Define ramp from boundaries towards domain interior at F-points
! Store it in ztabramp
ispongearea = nn_sponge_len * Agrif_irhox()
z1_ispongearea = 1._wp / REAL( MAX(ispongearea,1), wp )
jspongearea = nn_sponge_len * Agrif_irhoy()
z1_jspongearea = 1._wp / REAL( MAX(jspongearea,1), wp )
ishift = nn_shift_bar * Agrif_irhox()
jshift = nn_shift_bar * Agrif_irhoy()
ztabramp(:,:) = 0._wp
IF( lk_west ) THEN ! --- West --- !
ind1 = nn_hls + nbghostcells + ishift
ind2 = nn_hls + nbghostcells + ishift + ispongearea
DO ji = mi0(ind1), mi1(ind2)
DO jj = 1, jpj
ztabramp(ji,jj) = REAL(ind2 - mig(ji), wp) * z1_ispongearea
END DO
END DO
! ghost cells:
ind1 = 1
ind2 = nn_hls + nbghostcells + ishift ! halo + nbghostcells
DO ji = mi0(ind1), mi1(ind2)
DO jj = 1, jpj
ztabramp(ji,jj) = 1._wp
END DO
END DO
ENDIF
IF( lk_east ) THEN ! --- East --- !
ind1 = jpiglo - ( nn_hls + nbghostcells -1 + ishift) - ispongearea - 1
ind2 = jpiglo - ( nn_hls + nbghostcells -1 + ishift) - 1 ! halo + nbghostcells - 1
DO ji = mi0(ind1), mi1(ind2)
DO jj = 1, jpj
ztabramp(ji,jj) = MAX( ztabramp(ji,jj), REAL(mig(ji) - ind1, wp) * z1_ispongearea )
END DO
END DO
! ghost cells:
ind1 = jpiglo - ( nn_hls + nbghostcells -1 + ishift) - 1 ! halo + nbghostcells - 1
ind2 = jpiglo - 1
DO ji = mi0(ind1), mi1(ind2)
DO jj = 1, jpj
ztabramp(ji,jj) = 1._wp
END DO
END DO
ENDIF
IF( lk_south ) THEN ! --- South --- !
ind1 = nn_hls + nbghostcells + jshift ! halo + nbghostcells
ind2 = nn_hls + nbghostcells + jshift + jspongearea
DO jj = mj0(ind1), mj1(ind2)
DO ji = 1, jpi
ztabramp(ji,jj) = MAX( ztabramp(ji,jj), REAL(ind2 - mjg(jj), wp) * z1_jspongearea )
END DO
END DO
! ghost cells:
ind1 = 1
ind2 = nn_hls + nbghostcells + jshift ! halo + land + nbghostcells
DO jj = mj0(ind1), mj1(ind2)
DO ji = 1, jpi
ztabramp(ji,jj) = 1._wp
END DO
END DO
ENDIF
IF( lk_north ) THEN ! --- North --- !
ind1 = jpjglo - ( nn_hls + nbghostcells -1 + jshift) - jspongearea - 1
ind2 = jpjglo - ( nn_hls + nbghostcells -1 + jshift) - 1 ! halo + land + nbghostcells - 1
DO jj = mj0(ind1), mj1(ind2)
DO ji = 1, jpi
ztabramp(ji,jj) = MAX( ztabramp(ji,jj), REAL(mjg(jj) - ind1, wp) * z1_jspongearea )
END DO
END DO
! ghost cells:
ind1 = jpjglo - ( nn_hls + nbghostcells -1 + jshift) ! halo + land + nbghostcells - 1
ind2 = jpjglo
DO jj = mj0(ind1), mj1(ind2)
DO ji = 1, jpi
ztabramp(ji,jj) = 1._wp
END DO
END DO
ENDIF
!
! Tracers
fspu_2d(:,:) = 0._wp
fspv_2d(:,:) = 0._wp
DO_2D( 0, 0, 0, 0 )
fspu_2d(ji,jj) = 0.5_wp * ( ztabramp(ji,jj) + ztabramp(ji,jj-1) ) * ssumask(ji,jj)
fspv_2d(ji,jj) = 0.5_wp * ( ztabramp(ji,jj) + ztabramp(ji-1,jj) ) * ssvmask(ji,jj)
END_2D
! Dynamics
fspt_2d(:,:) = 0._wp
fspf_2d(:,:) = 0._wp
DO_2D( 0, 0, 0, 0 )
fspt_2d(ji,jj) = 0.25_wp * ( ztabramp(ji ,jj ) + ztabramp(ji-1,jj ) &
& +ztabramp(ji ,jj-1) + ztabramp(ji-1,jj-1) ) * ssmask(ji,jj)
fspf_2d(ji,jj) = ztabramp(ji,jj) * ssvmask(ji,jj) * ssvmask(ji,jj+1)
END_2D
CALL lbc_lnk( 'agrif_Sponge_2d', fspu_2d, 'U', 1._wp, fspv_2d, 'V', 1._wp, fspt_2d, 'T', 1._wp, fspf_2d, 'F', 1._wp )
!
#endif
!
END SUBROUTINE Agrif_Sponge_2d
SUBROUTINE interptsn_sponge( tabres, i1, i2, j1, j2, k1, k2, n1, n2, before)
!!----------------------------------------------------------------------
!! *** ROUTINE interptsn_sponge ***
!!----------------------------------------------------------------------
INTEGER , INTENT(in ) :: i1, i2, j1, j2, k1, k2, n1, n2
REAL(wp), DIMENSION(i1:i2,j1:j2,k1:k2,n1:n2), INTENT(inout) :: tabres
LOGICAL , INTENT(in ) :: before
!
INTEGER :: ji, jj, jk, jn ! dummy loop indices
INTEGER :: iku, ikv
REAL(wp) :: ztsa, zabe1, zabe2, zbtr, zhtot
REAl(wp) :: zflag, zdmod, zdtot
REAL(wp), DIMENSION(i1-1:i2,j1-1:j2,jpk) :: ztu, ztv
REAL(wp), DIMENSION(i1:i2,j1:j2,jpk,n1:n2) ::tsbdiff
! vertical interpolation:
REAL(wp), DIMENSION(i1:i2,j1:j2,jpk,n1:n2) ::tabres_child
REAL(wp), DIMENSION(k1:k2,n1:n2-1) :: tabin, tabin_i
REAL(wp), DIMENSION(k1:k2) :: z_in, z_in_i, h_in_i
REAL(wp), DIMENSION(1:jpk) :: h_out, z_out
INTEGER :: N_in, N_out
!!----------------------------------------------------------------------
!
IF( before ) THEN
DO jn = 1, jpts
Jérôme Chanut
committed
DO jk=k1,k2-1
DO jj=j1,j2
DO ji=i1,i2
! JC: masking is mandatory here: before tracer field seems
! to hold non zero values where tmask=0
tabres(ji,jj,jk,jn) = ts(ji,jj,jk,jn,Kbb_a) * tmask(ji,jj,jk)
END DO
END DO
END DO
END DO
IF ( l_vremap.OR.ln_zps ) THEN
! Fill cell depths (i.e. gdept) to be interpolated
! Warning: these are masked, hence extrapolated prior interpolation.
DO jj=j1,j2
DO ji=i1,i2
tabres(ji,jj,k1,jpts+1) = 0.5_wp * tmask(ji,jj,k1) * e3w(ji,jj,k1,Kbb_a)
Jérôme Chanut
committed
DO jk=k1+1,k2-1
& ( tabres(ji,jj,jk-1,jpts+1) + e3w(ji,jj,jk,Kbb_a) )
END DO
END DO
END DO
! Save ssh at last level:
IF ( .NOT.ln_linssh ) THEN
tabres(i1:i2,j1:j2,k2,jpts+1) = ssh(i1:i2,j1:j2,Kbb_a)*tmask(i1:i2,j1:j2,1)
END IF
END IF
ELSE
!
IF ( l_vremap ) THEN
IF (ln_linssh) THEN
tabres(i1:i2,j1:j2,k2,n2) = 0._wp
ELSE ! Assuming parent volume follows child:
tabres(i1:i2,j1:j2,k2,n2) = ssh(i1:i2,j1:j2,Kbb_a)
ENDIF
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DO jj=j1,j2
DO ji=i1,i2
tabres_child(ji,jj,:,:) = 0._wp
! Build vertical grids:
N_in = mbkt_parent(ji,jj)
! Input grid (account for partial cells if any):
IF ( N_in > 0 ) THEN
DO jk=1,N_in
z_in(jk) = tabres(ji,jj,jk,n2) - tabres(ji,jj,k2,n2)
tabin(jk,1:jpts) = tabres(ji,jj,jk,1:jpts)
END DO
! Intermediate grid:
DO jk = 1, N_in
h_in_i(jk) = e3t0_parent(ji,jj,jk) * &
& (1._wp + tabres(ji,jj,k2,n2)/(ht0_parent(ji,jj)*ssmask(ji,jj) + 1._wp - ssmask(ji,jj)))
END DO
z_in_i(1) = 0.5_wp * h_in_i(1)
DO jk=2,N_in
z_in_i(jk) = z_in_i(jk-1) + 0.5_wp * ( h_in_i(jk) + h_in_i(jk-1) )
END DO
z_in_i(1:N_in) = z_in_i(1:N_in) - tabres(ji,jj,k2,n2)
END IF
! Output (Child) grid:
N_out = mbkt(ji,jj)
DO jk=1,N_out
h_out(jk) = e3t(ji,jj,jk,Kbb_a)
END DO
z_out(1) = 0.5_wp * e3w(ji,jj,1,Kbb_a)
z_out(jk) = z_out(jk-1) + e3w(ji,jj,jk,Kbb_a)
END DO
IF (.NOT.ln_linssh) z_out(1:N_out) = z_out(1:N_out) - ssh(ji,jj,Kbb_a)
! Account for small differences in the free-surface
IF ( sum(h_out(1:N_out)) > sum(h_in_i(1:N_in) )) THEN
h_out(1) = h_out(1) - ( sum(h_out(1:N_out))-sum(h_in_i(1:N_in)) )
ELSE
h_in_i(1)= h_in_i(1) - ( sum(h_in_i(1:N_in))-sum(h_out(1:N_out)) )
END IF
IF (N_in*N_out > 0) THEN
! jc: disable "two steps" vertical remapping
! since this would require e3w0_parent to be available
! CALL remap_linear(tabin(1:N_in,1:jpts),z_in(1:N_in),tabin_i(1:N_in,1:jpts),z_in_i(1:N_in),N_in,N_in,jpts)
! CALL reconstructandremap(tabin_i(1:N_in,1:jpts),h_in_i(1:N_in),tabres_child(ji,jj,1:N_out,1:jpts),h_out(1:N_out),N_in,N_out,jpts)
CALL reconstructandremap(tabin(1:N_in,1:jpts),h_in_i(1:N_in),tabres_child(ji,jj,1:N_out,1:jpts),h_out(1:N_out),N_in,N_out,jpts)
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! CALL remap_linear(tabin(1:N_in,1:jpts),z_in(1:N_in),tabres_child(ji,jj,1:N_out,1:jpts),z_out(1:N_in),N_in,N_out,jpts)
ENDIF
END DO
END DO
DO jj=j1,j2
DO ji=i1,i2
DO jk=1,jpkm1
tsbdiff(ji,jj,jk,1:jpts) = (ts(ji,jj,jk,1:jpts,Kbb_a) - tabres_child(ji,jj,jk,1:jpts)) * tmask(ji,jj,jk)
END DO
END DO
END DO
ELSE
IF ( Agrif_Parent(ln_zps) ) THEN ! Account for partial cells
DO jj=j1,j2
DO ji=i1,i2
!
N_in = mbkt(ji,jj)
N_out = mbkt(ji,jj)
z_in(1) = tabres(ji,jj,1,n2)
tabin(1,1:jpts) = tabres(ji,jj,1,1:jpts)
DO jk=2, N_in
z_in(jk) = tabres(ji,jj,jk,n2)
tabin(jk,1:jpts) = tabres(ji,jj,jk,1:jpts)
END DO
IF (.NOT.ln_linssh) z_in(1:N_in) = z_in(1:N_in) - tabres(ji,jj,k2,n2)
z_out(1) = 0.5_wp * e3w(ji,jj,1,Kbb_a)
z_out(jk) = z_out(jk-1) + e3w(ji,jj,jk,Kbb_a)
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END DO
IF (.NOT.ln_linssh) z_out(1:N_out) = z_out(1:N_out) - ssh(ji,jj,Kbb_a)
CALL remap_linear(tabin(1:N_in,1:jpts), z_in(1:N_in), tabres(ji,jj,1:N_out,1:jpts), &
& z_out(1:N_out), N_in, N_out, jpts)
END DO
END DO
ENDIF
DO jj=j1,j2
DO ji=i1,i2
DO jk=1,jpkm1
tsbdiff(ji,jj,jk,1:jpts) = (ts(ji,jj,jk,1:jpts,Kbb_a) - tabres(ji,jj,jk,1:jpts))*tmask(ji,jj,jk)
END DO
END DO
END DO
END IF
DO jn = 1, jpts
DO jk = 1, jpkm1
ztu(i1-1:i2,j1-1:j2,jk) = 0._wp
DO jj = j1,j2
DO ji = i1,i2-1
zabe1 = rn_sponge_tra * r1_Dt * umask(ji,jj,jk) * e1e2u(ji,jj) * e3u(ji,jj,jk,Kmm_a)
zdtot = tsbdiff(ji+1,jj,jk,jn) - tsbdiff(ji,jj,jk,jn)
zdmod = ts(ji+1,jj,jk,jn,Kbb_a) - ts(ji,jj,jk,jn,Kbb_a)
zflag = 0.5_wp + SIGN(0.5_wp, zdtot*zdmod)
ztu(ji,jj,jk) = zabe1 * fspu(ji,jj) * ( zflag * zdtot + (1._wp - zflag) * zdmod )
END DO
END DO
ztv(i1-1:i2,j1-1:j2,jk) = 0._wp
DO ji = i1,i2
DO jj = j1,j2-1
zabe2 = rn_sponge_tra * r1_Dt * vmask(ji,jj,jk) * e1e2v(ji,jj) * e3v(ji,jj,jk,Kmm_a)
ztv(ji,jj,jk) = zabe2 * fspv(ji,jj) * ( tsbdiff(ji ,jj+1,jk,jn) - tsbdiff(ji,jj,jk,jn) )
zdtot = tsbdiff(ji,jj+1,jk,jn) - tsbdiff(ji,jj,jk,jn)
zdmod = ts(ji,jj+1,jk,jn,Kbb_a) - ts(ji,jj,jk,jn,Kbb_a)
zflag = 0.5_wp + SIGN(0.5_wp, zdtot*zdmod)
ztv(ji,jj,jk) = zabe2 * fspv(ji,jj) * ( zflag * zdtot + (1._wp - zflag) * zdmod )
END DO
END DO
!
IF( ln_zps ) THEN ! set gradient at partial step level
DO jj = j1,j2
DO ji = i1,i2
! last level
iku = mbku(ji,jj)
ikv = mbkv(ji,jj)
IF( iku == jk ) ztu(ji,jj,jk) = 0._wp
IF( ikv == jk ) ztv(ji,jj,jk) = 0._wp
END DO
END DO
ENDIF
END DO
!
! JC: there is something wrong with the Laplacian in corners
DO jk = 1, jpkm1
DO jj = j1,j2
DO ji = i1,i2
IF (.NOT. tabspongedone_tsn(ji,jj)) THEN
zbtr = r1_e1e2t(ji,jj) / e3t(ji,jj,jk,Kmm_a)
! horizontal diffusive trends
ztsa = zbtr * ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) &
& + ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) &
& - rn_trelax_tra * r1_Dt * fspt(ji,jj) * tsbdiff(ji,jj,jk,jn)
! add it to the general tracer trends
ts(ji,jj,jk,jn,Krhs_a) = ts(ji,jj,jk,jn,Krhs_a) + ztsa
ENDIF
END DO
END DO
END DO
!
END DO
!
tabspongedone_tsn(i1:i2,j1:j2) = .TRUE.
!
ENDIF
!
END SUBROUTINE interptsn_sponge
SUBROUTINE interpun_sponge(tabres,i1,i2,j1,j2,k1,k2,m1,m2, before)
!!---------------------------------------------
!! *** ROUTINE interpun_sponge ***
!!---------------------------------------------
INTEGER, INTENT(in) :: i1,i2,j1,j2,k1,k2,m1,m2
REAL(wp), DIMENSION(i1:i2,j1:j2,k1:k2,m1:m2), INTENT(inout) :: tabres
LOGICAL, INTENT(in) :: before
INTEGER :: ji,jj,jk,jmax
INTEGER :: ind1
! sponge parameters
REAL(wp) :: ze2u, ze1v, zua, zva, zbtr, zrhoy
REAL(wp), DIMENSION(i1:i2,j1:j2) :: zsshu
REAL(wp), DIMENSION(i1:i2,j1:j2,1:jpk) :: ubdiff
REAL(wp), DIMENSION(i1:i2,j1:j2,1:jpk) :: rotdiff, hdivdiff
! vertical interpolation:
REAL(wp), DIMENSION(i1:i2,j1:j2,1:jpk) :: tabres_child
REAL(wp), DIMENSION(k1:k2) :: tabin, h_in
REAL(wp), DIMENSION(1:jpk) :: h_out
INTEGER :: N_in, N_out
!!---------------------------------------------
!
IF( before ) THEN
Jérôme Chanut
committed
DO jk=k1,k2-1
tabres(ji,jj,jk,m1) = e2u(ji,jj) * e3u(ji,jj,jk,Kbb_a) * uu(ji,jj,jk,Kbb_a) * umask(ji,jj,jk)
zrhoy = Agrif_rhoy()
IF ( ln_linssh ) THEN
zsshu(i1:i2,j1:j2) = 0._wp
ELSE
zsshu(i1:i2,j1:j2) = hu(i1:i2,j1:j2,Kbb_a) - hu_0(i1:i2,j1:j2)
ENDIF
DO jj=j1,j2
DO ji=i1,i2
tabres_child(ji,jj,:) = 0._wp
N_in = mbku_parent(ji,jj)
N_out = mbku(ji,jj)
IF (N_in * N_out > 0) THEN
DO jk=1,N_in
h_in(jk) = e3u0_parent(ji,jj,jk) * &
& (1._wp + zsshu(ji,jj)/(hu0_parent(ji,jj)*ssumask(ji,jj) + 1._wp - ssumask(ji,jj)))
tabin(jk) = tabres(ji,jj,jk,1) / (e2u(ji,jj)*zrhoy*h_in(jk))
END DO
!
DO jk=1,N_out
h_out(jk) = e3u(ji,jj,jk,Kbb_a)
END DO
CALL reconstructandremap(tabin(1:N_in),h_in(1:N_in),tabres_child(ji,jj,1:N_out),h_out(1:N_out),N_in,N_out,1)
ENDIF
END DO
END DO
ELSE
DO jk=1,jpkm1
tabres_child(i1:i2,j1:j2,jk) = tabres(i1:i2,j1:j2,jk,1)/(e2u(i1:i2,j1:j2)*zrhoy*e3u(i1:i2,j1:j2,jk,Kbb_a))
END DO
Jérôme Chanut
committed
ubdiff(i1:i2,j1:j2,1:jpkm1) = (uu(i1:i2,j1:j2,1:jpkm1,Kbb_a) - tabres_child(i1:i2,j1:j2,1:jpkm1))*umask(i1:i2,j1:j2,1:jpkm1)
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DO jk = 1, jpkm1 ! Horizontal slab
! ! ===============
! ! --------
! Horizontal divergence ! div
! ! --------
DO jj = j1,j2
DO ji = i1+1,i2 ! vector opt.
zbtr = rn_sponge_dyn * r1_Dt * fspt(ji,jj) / e3t(ji,jj,jk,Kbb_a)
hdivdiff(ji,jj,jk) = ( e2u(ji ,jj)*e3u(ji ,jj,jk,Kbb_a) * ubdiff(ji ,jj,jk) &
& -e2u(ji-1,jj)*e3u(ji-1,jj,jk,Kbb_a) * ubdiff(ji-1,jj,jk) ) * zbtr
END DO
END DO
DO jj = j1,j2-1
DO ji = i1,i2 ! vector opt.
zbtr = rn_sponge_dyn * r1_Dt * fspf(ji,jj) * e3f(ji,jj,jk)
rotdiff(ji,jj,jk) = ( -e1u(ji,jj+1) * ubdiff(ji,jj+1,jk) &
& +e1u(ji,jj ) * ubdiff(ji,jj ,jk) ) * fmask(ji,jj,jk) * zbtr
END DO
END DO
END DO
!
DO jj = j1+1, j2-1
DO ji = i1+1, i2-1 ! vector opt.
IF (.NOT. tabspongedone_u(ji,jj)) THEN
DO jk = 1, jpkm1 ! Horizontal slab
ze2u = rotdiff (ji,jj,jk)
ze1v = hdivdiff(ji,jj,jk)
! horizontal diffusive trends
zua = - ( ze2u - rotdiff (ji,jj-1,jk) ) / ( e2u(ji,jj) * e3u(ji,jj,jk,Kmm_a) ) &
& + ( hdivdiff(ji+1,jj,jk) - ze1v ) * r1_e1u(ji,jj) &
& - rn_trelax_dyn * r1_Dt * fspu(ji,jj) * ubdiff(ji,jj,jk)
! add it to the general momentum trends
uu(ji,jj,jk,Krhs_a) = uu(ji,jj,jk,Krhs_a) + zua
END DO
ENDIF
END DO
END DO
tabspongedone_u(i1+1:i2-1,j1+1:j2-1) = .TRUE.
jmax = j2-1
ind1 = jpjglo - ( nn_hls + nbghostcells + 1 ) ! North
DO jj = mj0(ind1), mj1(ind1)
jmax = MIN(jmax,jj)
END DO
DO jj = j1+1, jmax
DO ji = i1+1, i2 ! vector opt.
IF (.NOT. tabspongedone_v(ji,jj)) THEN
DO jk = 1, jpkm1 ! Horizontal slab
ze2u = rotdiff (ji,jj,jk)
ze1v = hdivdiff(ji,jj,jk)
! horizontal diffusive trends
zva = + ( ze2u - rotdiff (ji-1,jj,jk) ) / ( e1v(ji,jj) * e3v(ji,jj,jk,Kmm_a) ) &
+ ( hdivdiff(ji,jj+1,jk) - ze1v ) * r1_e2v(ji,jj)
! add it to the general momentum trends
vv(ji,jj,jk,Krhs_a) = vv(ji,jj,jk,Krhs_a) + zva
END DO
ENDIF
!
END DO
END DO
!
tabspongedone_v(i1+1:i2,j1+1:jmax) = .TRUE.
!
ENDIF
!
END SUBROUTINE interpun_sponge
SUBROUTINE interpvn_sponge(tabres,i1,i2,j1,j2,k1,k2,m1,m2, before)
!!---------------------------------------------
!! *** ROUTINE interpvn_sponge ***
!!---------------------------------------------
INTEGER, INTENT(in) :: i1,i2,j1,j2,k1,k2,m1,m2
REAL(wp), DIMENSION(i1:i2,j1:j2,k1:k2,m1:m2), INTENT(inout) :: tabres
LOGICAL, INTENT(in) :: before
!
INTEGER :: ji, jj, jk, imax
INTEGER :: ind1
REAL(wp) :: ze2u, ze1v, zua, zva, zbtr, zrhox
REAL(wp), DIMENSION(i1:i2,j1:j2) :: zsshv
REAL(wp), DIMENSION(i1:i2,j1:j2,1:jpk) :: vbdiff
REAL(wp), DIMENSION(i1:i2,j1:j2,1:jpk) :: rotdiff, hdivdiff
! vertical interpolation:
REAL(wp), DIMENSION(i1:i2,j1:j2,1:jpk) :: tabres_child
REAL(wp), DIMENSION(k1:k2) :: tabin, h_in
REAL(wp), DIMENSION(1:jpk) :: h_out
INTEGER :: N_in, N_out
!!---------------------------------------------
IF( before ) THEN
Jérôme Chanut
committed
DO jk=k1,k2-1
tabres(ji,jj,jk,m1) = e1v(ji,jj) * e3v(ji,jj,jk,Kbb_a) * vv(ji,jj,jk,Kbb_a) * vmask(ji,jj,jk)
zrhox = Agrif_rhox()
IF ( ln_linssh ) THEN
zsshv(i1:i2,j1:j2) = 0._wp
ELSE
zsshv(i1:i2,j1:j2) = hv(i1:i2,j1:j2,Kbb_a) - hv_0(i1:i2,j1:j2)
ENDIF
DO jj=j1,j2
DO ji=i1,i2
tabres_child(ji,jj,:) = 0._wp
N_in = mbkv_parent(ji,jj)
N_out = mbkv(ji,jj)
IF (N_in * N_out > 0) THEN
DO jk=1,N_in
h_in(jk) = e3v0_parent(ji,jj,jk) * &
& (1._wp + zsshv(ji,jj)/(hv0_parent(ji,jj)*ssvmask(ji,jj) + 1._wp - ssvmask(ji,jj)))
tabin(jk) = tabres(ji,jj,jk,1) / (e1v(ji,jj)*zrhox*h_in(jk))
DO jk=1,N_out
h_out(jk) = e3v(ji,jj,jk,Kbb_a)
END DO
CALL reconstructandremap(tabin(1:N_in),h_in(1:N_in),tabres_child(ji,jj,1:N_out),h_out(1:N_out),N_in,N_out,1)
ENDIF
END DO
END DO
ELSE
DO jk=1,jpkm1
tabres_child(i1:i2,j1:j2,jk) = tabres(i1:i2,j1:j2,jk,1)/(e1v(i1:i2,j1:j2)*zrhox*e3v(i1:i2,j1:j2,jk,Kbb_a))
END DO
Jérôme Chanut
committed
vbdiff(i1:i2,j1:j2,1:jpkm1) = (vv(i1:i2,j1:j2,1:jpkm1,Kbb_a) - tabres_child(i1:i2,j1:j2,1:jpkm1))*vmask(i1:i2,j1:j2,1:jpkm1)
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DO jk = 1, jpkm1 ! Horizontal slab
! ! ===============
! ! --------
! Horizontal divergence ! div
! ! --------
DO jj = j1+1,j2
DO ji = i1,i2 ! vector opt.
zbtr = rn_sponge_dyn * r1_Dt * fspt(ji,jj) / e3t(ji,jj,jk,Kbb_a)
hdivdiff(ji,jj,jk) = ( e1v(ji,jj ) * e3v(ji,jj ,jk,Kbb_a) * vbdiff(ji,jj ,jk) &
& -e1v(ji,jj-1) * e3v(ji,jj-1,jk,Kbb_a) * vbdiff(ji,jj-1,jk) ) * zbtr
END DO
END DO
DO jj = j1,j2
DO ji = i1,i2-1 ! vector opt.
zbtr = rn_sponge_dyn * r1_Dt * fspf(ji,jj) * e3f(ji,jj,jk)
rotdiff(ji,jj,jk) = ( e2v(ji+1,jj) * vbdiff(ji+1,jj,jk) &
& -e2v(ji ,jj) * vbdiff(ji ,jj,jk) ) * fmask(ji,jj,jk) * zbtr
END DO
END DO
END DO
! ! ===============
!
imax = i2 - 1
ind1 = jpiglo - ( nn_hls + nbghostcells + 1 ) ! East
DO ji = mi0(ind1), mi1(ind1)
imax = MIN(imax,ji)
END DO
DO jj = j1+1, j2
DO ji = i1+1, imax ! vector opt.
IF( .NOT. tabspongedone_u(ji,jj) ) THEN
DO jk = 1, jpkm1
uu(ji,jj,jk,Krhs_a) = uu(ji,jj,jk,Krhs_a) &
& - ( rotdiff (ji ,jj,jk) - rotdiff (ji,jj-1,jk)) / ( e2u(ji,jj) * e3u(ji,jj,jk,Kmm_a) ) &
& + ( hdivdiff(ji+1,jj,jk) - hdivdiff(ji,jj ,jk)) * r1_e1u(ji,jj)
END DO
ENDIF
END DO
END DO
!
tabspongedone_u(i1+1:imax,j1+1:j2) = .TRUE.
!
DO jj = j1+1, j2-1
DO ji = i1+1, i2-1 ! vector opt.
IF( .NOT. tabspongedone_v(ji,jj) ) THEN
DO jk = 1, jpkm1
vv(ji,jj,jk,Krhs_a) = vv(ji,jj,jk,Krhs_a) &
& + ( rotdiff (ji,jj ,jk) - rotdiff (ji-1,jj,jk) ) / ( e1v(ji,jj) * e3v(ji,jj,jk,Kmm_a) ) &
& + ( hdivdiff(ji,jj+1,jk) - hdivdiff(ji ,jj,jk) ) * r1_e2v(ji,jj) &
& - rn_trelax_dyn * r1_Dt * fspv(ji,jj) * vbdiff(ji,jj,jk)
END DO
ENDIF
END DO
END DO
tabspongedone_v(i1+1:i2-1,j1+1:j2-1) = .TRUE.
ENDIF
!
END SUBROUTINE interpvn_sponge
SUBROUTINE interpunb_sponge(tabres,i1,i2,j1,j2, before)
!!---------------------------------------------
!! *** ROUTINE interpunb_sponge ***
!!---------------------------------------------
INTEGER, INTENT(in) :: i1,i2,j1,j2
REAL(wp), DIMENSION(i1:i2,j1:j2), INTENT(inout) :: tabres
LOGICAL, INTENT(in) :: before
INTEGER :: ji, jj, ind1, jmax
! sponge parameters
REAL(wp) :: ze2u, ze1v, zua, zva, zbtr
REAL(wp), DIMENSION(i1:i2,j1:j2) :: ubdiff
REAL(wp), DIMENSION(i1:i2,j1:j2) :: rotdiff, hdivdiff
!!---------------------------------------------
!
IF( before ) THEN
DO jj=j1,j2
DO ji=i1,i2
tabres(ji,jj) = uu_b(ji,jj,Kmm_a)
END DO
END DO
ELSE
ubdiff(i1:i2,j1:j2) = (uu_b(i1:i2,j1:j2,Kmm_a) - tabres(i1:i2,j1:j2))*umask(i1:i2,j1:j2,1)
!
! ! --------
! Horizontal divergence ! div
! ! --------
DO jj = j1,j2
DO ji = i1+1,i2 ! vector opt.
zbtr = rn_sponge_dyn * r1_Dt * fspt_2d(ji,jj) * r1_ht_0(ji,jj)
hdivdiff(ji,jj) = ( e2u(ji ,jj)*hu(ji ,jj,Kbb_a) * ubdiff(ji ,jj) &
&-e2u(ji-1,jj)*hu(ji-1,jj,Kbb_a) * ubdiff(ji-1,jj) ) * zbtr
END DO
END DO
DO jj = j1,j2-1
DO ji = i1,i2 ! vector opt.
zbtr = rn_sponge_dyn * r1_Dt * fspf_2d(ji,jj) * hf_0(ji,jj)
rotdiff(ji,jj) = ( -e1u(ji,jj+1) * ubdiff(ji,jj+1) &
& +e1u(ji,jj ) * ubdiff(ji,jj ) ) * fmask(ji,jj,1) * zbtr
END DO
END DO
!
DO jj = j1+1, j2-1
DO ji = i1+1, i2-1 ! vector opt.
IF (.NOT. tabspongedone_u(ji,jj)) THEN
ze2u = rotdiff (ji,jj)
ze1v = hdivdiff(ji,jj)
! horizontal diffusive trends
zua = - ( ze2u - rotdiff (ji,jj-1) ) * r1_e2u(ji,jj) * r1_hu(ji,jj,Kmm_a) &
& + ( hdivdiff(ji+1,jj) - ze1v ) * r1_e1u(ji,jj) &
& - rn_trelax_dyn * r1_Dt * fspu_2d(ji,jj) * ubdiff(ji,jj)
! add it to the general momentum trends
uu(ji,jj,:,Krhs_a) = uu(ji,jj,:,Krhs_a) + zua
ENDIF
END DO
END DO
tabspongedone_u(i1+1:i2-1,j1+1:j2-1) = .TRUE.
jmax = j2-1
ind1 = jpjglo - ( nn_hls + nbghostcells + 1 ) ! North
DO jj = mj0(ind1), mj1(ind1)
jmax = MIN(jmax,jj)
END DO
DO jj = j1+1, jmax
DO ji = i1+1, i2 ! vector opt.
IF (.NOT. tabspongedone_v(ji,jj)) THEN
ze2u = rotdiff (ji,jj)
ze1v = hdivdiff(ji,jj)
zva = + ( ze2u - rotdiff (ji-1,jj) ) * r1_e1v(ji,jj) * r1_hv(ji,jj,Kmm_a) &
+ ( hdivdiff(ji,jj+1) - ze1v ) * r1_e2v(ji,jj)
vv(ji,jj,:,Krhs_a) = vv(ji,jj,:,Krhs_a) + zva
ENDIF
END DO
END DO
!
tabspongedone_v(i1+1:i2,j1+1:jmax) = .TRUE.
!
ENDIF
!
END SUBROUTINE interpunb_sponge
SUBROUTINE interpvnb_sponge(tabres,i1,i2,j1,j2, before)
!!---------------------------------------------
!! *** ROUTINE interpvnb_sponge ***
!!---------------------------------------------
INTEGER, INTENT(in) :: i1,i2,j1,j2
REAL(wp), DIMENSION(i1:i2,j1:j2), INTENT(inout) :: tabres
LOGICAL, INTENT(in) :: before
!
INTEGER :: ji, jj, ind1, imax
REAL(wp) :: ze2u, ze1v, zua, zva, zbtr
REAL(wp), DIMENSION(i1:i2,j1:j2) :: vbdiff
REAL(wp), DIMENSION(i1:i2,j1:j2) :: rotdiff, hdivdiff
!!---------------------------------------------
IF( before ) THEN
DO jj=j1,j2
DO ji=i1,i2
tabres(ji,jj) = vv_b(ji,jj,Kmm_a)
END DO
END DO
ELSE
vbdiff(i1:i2,j1:j2) = (vv_b(i1:i2,j1:j2,Kmm_a) - tabres(i1:i2,j1:j2))*vmask(i1:i2,j1:j2,1)
! ! --------
! Horizontal divergence ! div
! ! --------
DO jj = j1+1,j2