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!!---------------------------------------------------------------------
!! *** ROUTINE dyn_spg_ts_init ***
!!
!! ** Purpose : Set time splitting options
!!----------------------------------------------------------------------
INTEGER :: ji ,jj ! dummy loop indices
REAL(wp) :: zxr2, zyr2, zcmax ! local scalar
REAL(wp), DIMENSION(jpi,jpj) :: zcu
!!----------------------------------------------------------------------
!
! Max courant number for ext. grav. waves
!
DO_2D( 0, 0, 0, 0 )
zxr2 = r1_e1t(ji,jj) * r1_e1t(ji,jj)
zyr2 = r1_e2t(ji,jj) * r1_e2t(ji,jj)
zcu(ji,jj) = SQRT( grav * MAX(ht_0(ji,jj),0._wp) * (zxr2 + zyr2) )
END_2D
!
zcmax = MAXVAL( zcu(Nis0:Nie0,Njs0:Nje0) )
CALL mpp_max( 'dynspg_ts', zcmax )
! Estimate number of iterations to satisfy a max courant number= rn_bt_cmax
IF( ln_bt_auto ) nn_e = CEILING( rn_Dt / rn_bt_cmax * zcmax)
rDt_e = rn_Dt / REAL( nn_e , wp )
zcmax = zcmax * rDt_e
! Print results
IF(lwp) WRITE(numout,*)
IF(lwp) WRITE(numout,*) 'dyn_spg_ts_init : split-explicit free surface'
IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~'
IF( ln_bt_auto ) THEN
IF(lwp) WRITE(numout,*) ' ln_ts_auto =.true. Automatically set nn_e '
IF(lwp) WRITE(numout,*) ' Max. courant number allowed: ', rn_bt_cmax
ELSE
IF(lwp) WRITE(numout,*) ' ln_ts_auto=.false.: Use nn_e in namelist nn_e = ', nn_e
ENDIF
IF(ln_bt_av) THEN
IF(lwp) WRITE(numout,*) ' ln_bt_av =.true. ==> Time averaging over nn_e time steps is on '
ELSE
IF(lwp) WRITE(numout,*) ' ln_bt_av =.false. => No time averaging of barotropic variables '
ENDIF
!
!
IF(ln_bt_fw) THEN
IF(lwp) WRITE(numout,*) ' ln_bt_fw=.true. => Forward integration of barotropic variables '
ELSE
IF(lwp) WRITE(numout,*) ' ln_bt_fw =.false.=> Centred integration of barotropic variables '
ENDIF
!
#if defined key_agrif
! Restrict the use of Agrif to the forward case only
IF( .NOT.ln_bt_fw .AND. .NOT.Agrif_Root() ) CALL ctl_stop( 'AGRIF not implemented if ln_bt_fw=.FALSE.' )
#endif
!
IF(lwp) WRITE(numout,*) ' Time filter choice, nn_bt_flt: ', nn_bt_flt
SELECT CASE ( nn_bt_flt )
CASE( 0 ) ; IF(lwp) WRITE(numout,*) ' Dirac'
CASE( 1 ) ; IF(lwp) WRITE(numout,*) ' Boxcar: width = nn_e'
CASE( 2 ) ; IF(lwp) WRITE(numout,*) ' Boxcar: width = 2*nn_e'
CASE DEFAULT ; CALL ctl_stop( 'unrecognised value for nn_bt_flt: should 0,1, or 2' )
END SELECT
!
IF(lwp) WRITE(numout,*) ' '
IF(lwp) WRITE(numout,*) ' nn_e = ', nn_e
IF(lwp) WRITE(numout,*) ' Barotropic time step [s] is :', rDt_e
IF(lwp) WRITE(numout,*) ' Maximum Courant number is :', zcmax
!
IF(lwp) WRITE(numout,*) ' Time diffusion parameter rn_bt_alpha: ', rn_bt_alpha
IF ((ln_bt_av.AND.nn_bt_flt/=0).AND.(rn_bt_alpha>0._wp)) THEN
CALL ctl_stop( 'dynspg_ts ERROR: if rn_bt_alpha > 0, remove temporal averaging' )
ENDIF
!
IF( .NOT.ln_bt_av .AND. .NOT.ln_bt_fw ) THEN
CALL ctl_stop( 'dynspg_ts ERROR: No time averaging => only forward integration is possible' )
ENDIF
IF( zcmax>0.9_wp ) THEN
CALL ctl_stop( 'dynspg_ts ERROR: Maximum Courant number is greater than 0.9: Inc. nn_e !' )
ENDIF
!
! ! Allocate time-splitting arrays
IF( dyn_spg_ts_alloc() /= 0 ) CALL ctl_stop('STOP', 'dyn_spg_init: failed to allocate dynspg_ts arrays' )
!
! ! read restart when needed
CALL ts_rst( nit000, 'READ' )
!
END SUBROUTINE dyn_spg_ts_init
SUBROUTINE dyn_cor_2D_init( Kmm )
!!---------------------------------------------------------------------
!! *** ROUTINE dyn_cor_2D_init ***
!!
!! ** Purpose : Set time splitting options
!! Set arrays to remove/compute coriolis trend.
!! Do it once during initialization if volume is fixed, else at each long time step.
!! Note that these arrays are also used during barotropic loop. These are however frozen
!! although they should be updated in the variable volume case. Not a big approximation.
!! To remove this approximation, copy lines below inside barotropic loop
!! and update depths at T- points (ht) at each barotropic time step
!!
!! Compute zwz = f / ( height of the water colomn )
!!----------------------------------------------------------------------
INTEGER, INTENT(in) :: Kmm ! Time index
INTEGER :: ji ,jj, jk ! dummy loop indices
REAL(wp) :: z1_ht
!!----------------------------------------------------------------------
!
SELECT CASE( nvor_scheme )
CASE( np_EEN, np_ENE, np_ENS , np_MIX ) != schemes using the same e3f definition
SELECT CASE( nn_e3f_typ ) !* ff_f/e3 at F-point
CASE ( 0 ) ! original formulation (masked averaging of e3t divided by 4)
DO_2D( 0, 0, 0, 0 )
zwz(ji,jj) = ( ht(ji,jj+1) + ht(ji+1,jj+1) &
& + ht(ji,jj ) + ht(ji+1,jj ) ) * 0.25_wp
IF( zwz(ji,jj) /= 0._wp ) zwz(ji,jj) = ff_f(ji,jj) / zwz(ji,jj)
END_2D
CASE ( 1 ) ! new formulation (masked averaging of e3t divided by the sum of mask)
DO_2D( 0, 0, 0, 0 )
zwz(ji,jj) = ( ht(ji,jj+1) + ht(ji+1,jj+1) &
& + ht(ji,jj ) + ht(ji+1,jj ) ) &
& / ( MAX(ssmask(ji,jj+1) + ssmask(ji+1,jj+1) &
& + ssmask(ji,jj ) + ssmask(ji+1,jj ) , 1._wp ) )
IF( zwz(ji,jj) /= 0._wp ) zwz(ji,jj) = ff_f(ji,jj) / zwz(ji,jj)
END_2D
END SELECT
CALL lbc_lnk( 'dynspg_ts', zwz, 'F', 1._wp )
END SELECT
!
SELECT CASE( nvor_scheme )
CASE( np_EEN )
!
ftne(1,:) = 0._wp ; ftnw(1,:) = 0._wp ; ftse(1,:) = 0._wp ; ftsw(1,:) = 0._wp
DO_2D( 0, 1, 0, 1 )
ftne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1)
ftnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj )
ftse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1)
ftsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj )
END_2D
!
CASE( np_EET ) != EEN scheme using e3t energy conserving scheme
ftne(1,:) = 0._wp ; ftnw(1,:) = 0._wp ; ftse(1,:) = 0._wp ; ftsw(1,:) = 0._wp
DO_2D( 0, 1, 0, 1 )
z1_ht = ssmask(ji,jj) / ( ht(ji,jj) + 1._wp - ssmask(ji,jj) )
ftne(ji,jj) = ( ff_f(ji-1,jj ) + ff_f(ji ,jj ) + ff_f(ji ,jj-1) ) * z1_ht
ftnw(ji,jj) = ( ff_f(ji-1,jj-1) + ff_f(ji-1,jj ) + ff_f(ji ,jj ) ) * z1_ht
ftse(ji,jj) = ( ff_f(ji ,jj ) + ff_f(ji ,jj-1) + ff_f(ji-1,jj-1) ) * z1_ht
ftsw(ji,jj) = ( ff_f(ji ,jj-1) + ff_f(ji-1,jj-1) + ff_f(ji-1,jj ) ) * z1_ht
END_2D
!
END SELECT
END SUBROUTINE dyn_cor_2d_init
SUBROUTINE dyn_cor_2d( pht, phu, phv, punb, pvnb, zhU, zhV, zu_trd, zv_trd )
!!---------------------------------------------------------------------
!! *** ROUTINE dyn_cor_2d ***
!!
!! ** Purpose : Compute u and v coriolis trends
!!----------------------------------------------------------------------
INTEGER :: ji ,jj ! dummy loop indices
REAL(wp) :: zx1, zx2, zy1, zy2, z1_hu, z1_hv ! - -
REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pht, phu, phv, punb, pvnb, zhU, zhV
REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: zu_trd, zv_trd
!!----------------------------------------------------------------------
SELECT CASE( nvor_scheme )
CASE( np_ENT ) ! enstrophy conserving scheme (f-point)
DO_2D( 0, 0, 0, 0 )
z1_hu = ssumask(ji,jj) / ( phu(ji,jj) + 1._wp - ssumask(ji,jj) )
z1_hv = ssvmask(ji,jj) / ( phv(ji,jj) + 1._wp - ssvmask(ji,jj) )
zu_trd(ji,jj) = + r1_4 * r1_e1e2u(ji,jj) * z1_hu &
& * ( e1e2t(ji+1,jj)*pht(ji+1,jj)*ff_t(ji+1,jj) * ( pvnb(ji+1,jj) + pvnb(ji+1,jj-1) ) &
& + e1e2t(ji ,jj)*pht(ji ,jj)*ff_t(ji ,jj) * ( pvnb(ji ,jj) + pvnb(ji ,jj-1) ) )
!
zv_trd(ji,jj) = - r1_4 * r1_e1e2v(ji,jj) * z1_hv &
& * ( e1e2t(ji,jj+1)*pht(ji,jj+1)*ff_t(ji,jj+1) * ( punb(ji,jj+1) + punb(ji-1,jj+1) ) &
& + e1e2t(ji,jj )*pht(ji,jj )*ff_t(ji,jj ) * ( punb(ji,jj ) + punb(ji-1,jj ) ) )
END_2D
!
CASE( np_ENE , np_MIX ) ! energy conserving scheme (t-point) ENE or MIX
DO_2D( 0, 0, 0, 0 )
zy1 = ( zhV(ji,jj-1) + zhV(ji+1,jj-1) ) * r1_e1u(ji,jj)
zy2 = ( zhV(ji,jj ) + zhV(ji+1,jj ) ) * r1_e1u(ji,jj)
zx1 = ( zhU(ji-1,jj) + zhU(ji-1,jj+1) ) * r1_e2v(ji,jj)
zx2 = ( zhU(ji ,jj) + zhU(ji ,jj+1) ) * r1_e2v(ji,jj)
! energy conserving formulation for planetary vorticity term
zu_trd(ji,jj) = r1_4 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 )
zv_trd(ji,jj) = - r1_4 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 )
END_2D
!
CASE( np_ENS ) ! enstrophy conserving scheme (f-point)
DO_2D( 0, 0, 0, 0 )
zy1 = r1_8 * ( zhV(ji ,jj-1) + zhV(ji+1,jj-1) &
& + zhV(ji ,jj ) + zhV(ji+1,jj ) ) * r1_e1u(ji,jj)
zx1 = - r1_8 * ( zhU(ji-1,jj ) + zhU(ji-1,jj+1) &
& + zhU(ji ,jj ) + zhU(ji ,jj+1) ) * r1_e2v(ji,jj)
zu_trd(ji,jj) = zy1 * ( zwz(ji ,jj-1) + zwz(ji,jj) )
zv_trd(ji,jj) = zx1 * ( zwz(ji-1,jj ) + zwz(ji,jj) )
END_2D
!
CASE( np_EET , np_EEN ) ! energy & enstrophy scheme (using e3t or e3f)
DO_2D( 0, 0, 0, 0 )
zu_trd(ji,jj) = + r1_12 * r1_e1u(ji,jj) * ( ftne(ji,jj ) * zhV(ji ,jj ) &
& + ftnw(ji+1,jj) * zhV(ji+1,jj ) &
& + ftse(ji,jj ) * zhV(ji ,jj-1) &
& + ftsw(ji+1,jj) * zhV(ji+1,jj-1) )
zv_trd(ji,jj) = - r1_12 * r1_e2v(ji,jj) * ( ftsw(ji,jj+1) * zhU(ji-1,jj+1) &
& + ftse(ji,jj+1) * zhU(ji ,jj+1) &
& + ftnw(ji,jj ) * zhU(ji-1,jj ) &
& + ftne(ji,jj ) * zhU(ji ,jj ) )
END_2D
!
END SELECT
!
END SUBROUTINE dyn_cor_2D
SUBROUTINE wad_tmsk( pssh, ptmsk )
!!----------------------------------------------------------------------
!! *** ROUTINE wad_lmt ***
!!
!! ** Purpose : set wetting & drying mask at tracer points
!! for the current barotropic sub-step
!!
!! ** Method : ???
!!
!! ** Action : ptmsk : wetting & drying t-mask
!!----------------------------------------------------------------------
REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pssh !
REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: ptmsk !
!
INTEGER :: ji, jj ! dummy loop indices
!!----------------------------------------------------------------------
!
IF( ln_wd_dl_rmp ) THEN
DO_2D( 1, 1, 1, 1 )
IF ( pssh(ji,jj) + ht_0(ji,jj) > 2._wp * rn_wdmin1 ) THEN
! IF ( pssh(ji,jj) + ht_0(ji,jj) > rn_wdmin2 ) THEN
ptmsk(ji,jj) = 1._wp
ELSEIF( pssh(ji,jj) + ht_0(ji,jj) > rn_wdmin1 ) THEN
ptmsk(ji,jj) = TANH( 50._wp*( ( pssh(ji,jj) + ht_0(ji,jj) - rn_wdmin1 )*r_rn_wdmin1) )
ELSE
ptmsk(ji,jj) = 0._wp
ENDIF
END_2D
ELSE
DO_2D( 1, 1, 1, 1 )
IF ( pssh(ji,jj) + ht_0(ji,jj) > rn_wdmin1 ) THEN ; ptmsk(ji,jj) = 1._wp
ELSE ; ptmsk(ji,jj) = 0._wp
ENDIF
END_2D
ENDIF
!
END SUBROUTINE wad_tmsk
SUBROUTINE wad_Umsk( pTmsk, phU, phV, pu, pv, pUmsk, pVmsk )
!!----------------------------------------------------------------------
!! *** ROUTINE wad_lmt ***
!!
!! ** Purpose : set wetting & drying mask at tracer points
!! for the current barotropic sub-step
!!
!! ** Method : ???
!!
!! ** Action : ptmsk : wetting & drying t-mask
!!----------------------------------------------------------------------
REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pTmsk ! W & D t-mask
REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: phU, phV, pu, pv ! ocean velocities and transports
REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: pUmsk, pVmsk ! W & D u- and v-mask
!
INTEGER :: ji, jj ! dummy loop indices
!!----------------------------------------------------------------------
!
DO_2D( 1, 0, 1, 1 ) ! not jpi-column
IF ( phU(ji,jj) > 0._wp ) THEN ; pUmsk(ji,jj) = pTmsk(ji ,jj)
ELSE ; pUmsk(ji,jj) = pTmsk(ji+1,jj)
ENDIF
phU(ji,jj) = pUmsk(ji,jj)*phU(ji,jj)
pu (ji,jj) = pUmsk(ji,jj)*pu (ji,jj)
END_2D
!
DO_2D( 1, 1, 1, 0 ) ! not jpj-row
IF ( phV(ji,jj) > 0._wp ) THEN ; pVmsk(ji,jj) = pTmsk(ji,jj )
ELSE ; pVmsk(ji,jj) = pTmsk(ji,jj+1)
ENDIF
phV(ji,jj) = pVmsk(ji,jj)*phV(ji,jj)
pv (ji,jj) = pVmsk(ji,jj)*pv (ji,jj)
END_2D
!
END SUBROUTINE wad_Umsk
SUBROUTINE wad_spg( pshn, zcpx, zcpy )
!!---------------------------------------------------------------------
!! *** ROUTINE wad_sp ***
!!
!! ** Purpose :
!!----------------------------------------------------------------------
INTEGER :: ji ,jj ! dummy loop indices
LOGICAL :: ll_tmp1, ll_tmp2
REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pshn
REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: zcpx, zcpy
!!----------------------------------------------------------------------
DO_2D( 0, 0, 0, 0 )
ll_tmp1 = MIN( pshn(ji,jj) , pshn(ji+1,jj) ) > &
& MAX( -ht_0(ji,jj) , -ht_0(ji+1,jj) ) .AND. &
& MAX( pshn(ji,jj) + ht_0(ji,jj) , pshn(ji+1,jj) + ht_0(ji+1,jj) ) &
& > rn_wdmin1 + rn_wdmin2
ll_tmp2 = ( ABS( pshn(ji+1,jj) - pshn(ji ,jj)) > 1.E-12 ).AND.( &
& MAX( pshn(ji,jj) , pshn(ji+1,jj) ) > &
& MAX( -ht_0(ji,jj) , -ht_0(ji+1,jj) ) + rn_wdmin1 + rn_wdmin2 )
IF(ll_tmp1) THEN
zcpx(ji,jj) = 1.0_wp
ELSEIF(ll_tmp2) THEN
! no worries about pshn(ji+1,jj) - pshn(ji ,jj) = 0, it won't happen ! here
zcpx(ji,jj) = ABS( (pshn(ji+1,jj) + ht_0(ji+1,jj) - pshn(ji,jj) - ht_0(ji,jj)) &
& / (pshn(ji+1,jj) - pshn(ji ,jj)) )
zcpx(ji,jj) = max(min( zcpx(ji,jj) , 1.0_wp),0.0_wp)
ELSE
zcpx(ji,jj) = 0._wp
ENDIF
!
ll_tmp1 = MIN( pshn(ji,jj) , pshn(ji,jj+1) ) > &
& MAX( -ht_0(ji,jj) , -ht_0(ji,jj+1) ) .AND. &
& MAX( pshn(ji,jj) + ht_0(ji,jj) , pshn(ji,jj+1) + ht_0(ji,jj+1) ) &
& > rn_wdmin1 + rn_wdmin2
ll_tmp2 = ( ABS( pshn(ji,jj) - pshn(ji,jj+1)) > 1.E-12 ).AND.( &
& MAX( pshn(ji,jj) , pshn(ji,jj+1) ) > &
& MAX( -ht_0(ji,jj) , -ht_0(ji,jj+1) ) + rn_wdmin1 + rn_wdmin2 )
IF(ll_tmp1) THEN
zcpy(ji,jj) = 1.0_wp
ELSE IF(ll_tmp2) THEN
! no worries about pshn(ji,jj+1) - pshn(ji,jj ) = 0, it won't happen ! here
zcpy(ji,jj) = ABS( (pshn(ji,jj+1) + ht_0(ji,jj+1) - pshn(ji,jj) - ht_0(ji,jj)) &
& / (pshn(ji,jj+1) - pshn(ji,jj )) )
zcpy(ji,jj) = MAX( 0._wp , MIN( zcpy(ji,jj) , 1.0_wp ) )
ELSE
zcpy(ji,jj) = 0._wp
ENDIF
END_2D
END SUBROUTINE wad_spg
SUBROUTINE dyn_drg_init( Kbb, Kmm, puu, pvv, puu_b ,pvv_b, pu_RHSi, pv_RHSi, pCdU_u, pCdU_v )
!!----------------------------------------------------------------------
!! *** ROUTINE dyn_drg_init ***
!!
!! ** Purpose : - add the baroclinic top/bottom drag contribution to
!! the baroclinic part of the barotropic RHS
!! - compute the barotropic drag coefficients
!!
!! ** Method : computation done over the INNER domain only
!!----------------------------------------------------------------------
INTEGER , INTENT(in ) :: Kbb, Kmm ! ocean time level indices
REAL(wp), DIMENSION(jpi,jpj,jpk,jpt), INTENT(in ) :: puu, pvv ! ocean velocities and RHS of momentum equation
REAL(wp), DIMENSION(jpi,jpj,jpt) , INTENT(in ) :: puu_b, pvv_b ! barotropic velocities at main time levels
REAL(wp), DIMENSION(jpi,jpj) , INTENT(inout) :: pu_RHSi, pv_RHSi ! baroclinic part of the barotropic RHS
REAL(wp), DIMENSION(jpi,jpj) , INTENT( out) :: pCdU_u , pCdU_v ! barotropic drag coefficients
!
INTEGER :: ji, jj ! dummy loop indices
INTEGER :: ikbu, ikbv, iktu, iktv
REAL(wp) :: zztmp
REAL(wp), DIMENSION(jpi,jpj) :: zu_i, zv_i
!!----------------------------------------------------------------------
!
! !== Set the barotropic drag coef. ==!
!
IF( ln_isfcav.OR.ln_drgice_imp ) THEN ! top+bottom friction (ocean cavities)
DO_2D( 0, 0, 0, 0 )
pCdU_u(ji,jj) = r1_2*( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) + rCdU_top(ji+1,jj)+rCdU_top(ji,jj) )
pCdU_v(ji,jj) = r1_2*( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) + rCdU_top(ji,jj+1)+rCdU_top(ji,jj) )
END_2D
ELSE ! bottom friction only
DO_2D( 0, 0, 0, 0 )
pCdU_u(ji,jj) = r1_2*( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) )
pCdU_v(ji,jj) = r1_2*( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) )
END_2D
ENDIF
!
! !== BOTTOM stress contribution from baroclinic velocities ==!
!
IF( ln_bt_fw ) THEN ! FORWARD integration: use NOW bottom baroclinic velocities
DO_2D( 0, 0, 0, 0 )
ikbu = mbku(ji,jj)
ikbv = mbkv(ji,jj)
zu_i(ji,jj) = puu(ji,jj,ikbu,Kmm) - puu_b(ji,jj,Kmm)
zv_i(ji,jj) = pvv(ji,jj,ikbv,Kmm) - pvv_b(ji,jj,Kmm)
END_2D
ELSE ! CENTRED integration: use BEFORE bottom baroclinic velocities
DO_2D( 0, 0, 0, 0 )
ikbu = mbku(ji,jj)
ikbv = mbkv(ji,jj)
zu_i(ji,jj) = puu(ji,jj,ikbu,Kbb) - puu_b(ji,jj,Kbb)
zv_i(ji,jj) = pvv(ji,jj,ikbv,Kbb) - pvv_b(ji,jj,Kbb)
END_2D
ENDIF
!
IF( ln_wd_il ) THEN ! W/D : use the "clipped" bottom friction !!gm explain WHY, please !
zztmp = -1._wp / rDt_e
DO_2D( 0, 0, 0, 0 )
pu_RHSi(ji,jj) = pu_RHSi(ji,jj) + zu_i(ji,jj) * wdrampu(ji,jj) * MAX( &
& r1_hu(ji,jj,Kmm) * r1_2*( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) ) , zztmp )
pv_RHSi(ji,jj) = pv_RHSi(ji,jj) + zv_i(ji,jj) * wdrampv(ji,jj) * MAX( &
& r1_hv(ji,jj,Kmm) * r1_2*( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) ) , zztmp )
END_2D
ELSE ! use "unclipped" drag (even if explicit friction is used in 3D calculation)
DO_2D( 0, 0, 0, 0 )
pu_RHSi(ji,jj) = pu_RHSi(ji,jj) + r1_hu(ji,jj,Kmm) * r1_2*( rCdU_bot(ji+1,jj)+rCdU_bot(ji,jj) ) * zu_i(ji,jj)
pv_RHSi(ji,jj) = pv_RHSi(ji,jj) + r1_hv(ji,jj,Kmm) * r1_2*( rCdU_bot(ji,jj+1)+rCdU_bot(ji,jj) ) * zv_i(ji,jj)
END_2D
END IF
!
! !== TOP stress contribution from baroclinic velocities ==! (no W/D case)
!
IF( ln_isfcav.OR.ln_drgice_imp ) THEN
!
IF( ln_bt_fw ) THEN ! FORWARD integration: use NOW top baroclinic velocity
DO_2D( 0, 0, 0, 0 )
iktu = miku(ji,jj)
iktv = mikv(ji,jj)
zu_i(ji,jj) = puu(ji,jj,iktu,Kmm) - puu_b(ji,jj,Kmm)
zv_i(ji,jj) = pvv(ji,jj,iktv,Kmm) - pvv_b(ji,jj,Kmm)
END_2D
ELSE ! CENTRED integration: use BEFORE top baroclinic velocity
DO_2D( 0, 0, 0, 0 )
iktu = miku(ji,jj)
iktv = mikv(ji,jj)
zu_i(ji,jj) = puu(ji,jj,iktu,Kbb) - puu_b(ji,jj,Kbb)
zv_i(ji,jj) = pvv(ji,jj,iktv,Kbb) - pvv_b(ji,jj,Kbb)
END_2D
ENDIF
!
! ! use "unclipped" top drag (even if explicit friction is used in 3D calculation)
DO_2D( 0, 0, 0, 0 )
pu_RHSi(ji,jj) = pu_RHSi(ji,jj) + r1_hu(ji,jj,Kmm) * r1_2*( rCdU_top(ji+1,jj)+rCdU_top(ji,jj) ) * zu_i(ji,jj)
pv_RHSi(ji,jj) = pv_RHSi(ji,jj) + r1_hv(ji,jj,Kmm) * r1_2*( rCdU_top(ji,jj+1)+rCdU_top(ji,jj) ) * zv_i(ji,jj)
END_2D
!
ENDIF
!
END SUBROUTINE dyn_drg_init
SUBROUTINE ts_bck_interp( jn, ll_init, & ! <== in
& za0, za1, za2, za3 ) ! ==> out
!!----------------------------------------------------------------------
INTEGER ,INTENT(in ) :: jn ! index of sub time step
LOGICAL ,INTENT(in ) :: ll_init !
REAL(wp),INTENT( out) :: za0, za1, za2, za3 ! Half-step back interpolation coefficient
!
REAL(wp) :: zepsilon, zgamma ! - -
!!----------------------------------------------------------------------
! ! set Half-step back interpolation coefficient
IF ( jn==1 .AND. ll_init ) THEN !* Forward-backward
za0 = 1._wp
za1 = 0._wp
za2 = 0._wp
za3 = 0._wp
ELSEIF( jn==2 .AND. ll_init ) THEN !* AB2-AM3 Coefficients; bet=0 ; gam=-1/6 ; eps=1/12
za0 = 1.0833333333333_wp ! za0 = 1-gam-eps
za1 =-0.1666666666666_wp ! za1 = gam
za2 = 0.0833333333333_wp ! za2 = eps
za3 = 0._wp
ELSE !* AB3-AM4 Coefficients; bet=0.281105 ; eps=0.013 ; gam=0.0880
IF( rn_bt_alpha == 0._wp ) THEN ! Time diffusion
za0 = 0.614_wp ! za0 = 1/2 + gam + 2*eps
za1 = 0.285_wp ! za1 = 1/2 - 2*gam - 3*eps
za2 = 0.088_wp ! za2 = gam
za3 = 0.013_wp ! za3 = eps
ELSE ! no time diffusion
zepsilon = 0.00976186_wp - 0.13451357_wp * rn_bt_alpha
zgamma = 0.08344500_wp - 0.51358400_wp * rn_bt_alpha
za0 = 0.5_wp + zgamma + 2._wp * rn_bt_alpha + 2._wp * zepsilon
za1 = 1._wp - za0 - zgamma - zepsilon
za2 = zgamma
za3 = zepsilon
ENDIF
ENDIF
END SUBROUTINE ts_bck_interp
!!======================================================================
END MODULE dynspg_ts