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MODULE stprk3
!!======================================================================
!! *** MODULE stpRK3 ***
!! Time-stepping : manager of the ocean, tracer and ice time stepping
!! using a 3rd order Rung Kuta with fixed or quasi-eulerian coordinate
!!======================================================================
!! History : 4.5 ! 2021-01 (S. Techene, G. Madec, N. Ducousso, F. Lemarie) Original code
!! NEMO
!!----------------------------------------------------------------------
#if defined key_qco || defined key_linssh
!!----------------------------------------------------------------------
!! 'key_qco' Quasi-Eulerian vertical coordinate
!! OR
!! 'key_linssh Fixed in time vertical coordinate
!!----------------------------------------------------------------------
!!----------------------------------------------------------------------
!! stp_RK3 : NEMO 3rd order Runge-Kutta time-stepping
!!----------------------------------------------------------------------
USE step_oce ! time stepping used modules
USE domqco ! quasi-eulerian coordinate (dom_qco_r3c routine)
USE stprk3_stg ! RK3 stages
USE stp2d ! external mode solver
USE trd_oce ! trends: ocean variables
USE diaptr
USE ldftra
IMPLICIT NONE
PRIVATE
PUBLIC stp_RK3 ! called by nemogcm.F90
! !** time level indices **!
INTEGER, PUBLIC :: Nbb, Nnn, Naa, Nrhs !: used by nemo_init
!! * Substitutions
# include "do_loop_substitute.h90"
# include "domzgr_substitute.h90"
!!----------------------------------------------------------------------
!! NEMO/OCE 4.0 , NEMO Consortium (2018)
!! $Id: step.F90 12377 2020-02-12 14:39:06Z acc $
!! Software governed by the CeCILL license (see ./LICENSE)
!!----------------------------------------------------------------------
CONTAINS
#if defined key_agrif
RECURSIVE SUBROUTINE stp_RK3( )
INTEGER :: kstp ! ocean time-step index
#else
SUBROUTINE stp_RK3( kstp )
INTEGER, INTENT(in) :: kstp ! ocean time-step index
#endif
!!----------------------------------------------------------------------
!! *** ROUTINE stp_RK3 ***
!!
!! ** Purpose : - Time stepping of OCE (momentum and active tracer Eqs.) (RK3)
!! - Time stepping of SI3 (dynamic and thermodynamic Eqs.) (FBS)
!! - Time stepping of TRC (passive tracer Eqs.)
!!
!! ** Method : -1- Update forcings and data
!! -2- Update ocean physics
!! -3- Compute the after (Naa) ssh and velocity
!! -4- diagnostics and output at Now (Nnn)
!! -4- Compute the after (Naa) T-S
!! -5- Update now
!! -6- Update the horizontal velocity
!! -7- Compute the diagnostics variables (rd,N2, hdiv,w)
!! -8- Outputs and diagnostics
!!----------------------------------------------------------------------
INTEGER :: ji, jj, jk, jtile ! dummy loop indice
REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: zgdept
!! ---------------------------------------------------------------------
#if defined key_agrif
IF( nstop > 0 ) RETURN ! avoid to go further if an error was detected during previous time step (child grid)
kstp = nit000 + Agrif_Nb_Step()
Kbb_a = Nbb ; Kmm_a = Nbb ; Krhs_a = Nrhs ! agrif_oce module copies of time level indices
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IF( lk_agrif_debug ) THEN
IF( Agrif_Root() .AND. lwp) WRITE(*,*) '---'
IF(lwp) WRITE(*,*) 'Grid Number', Agrif_Fixed(),' time step ', kstp, 'int tstep', Agrif_NbStepint()
ENDIF
IF( kstp == nit000 + 1 ) lk_agrif_fstep = .FALSE.
# if defined key_xios
IF( Agrif_Nbstepint() == 0 ) CALL iom_swap( cxios_context )
# endif
#endif
!
IF( ln_timing ) CALL timing_start('stp_RK3')
!
!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
! update I/O and calendar
!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
!
IF( kstp == nit000 ) THEN ! initialize IOM context (must be done after nemo_init for AGRIF+XIOS+OASIS)
CALL iom_init( cxios_context, ld_closedef=.FALSE. ) ! for model grid (including possible AGRIF zoom)
IF( lk_diamlr ) CALL dia_mlr_iom_init ! with additional setup for multiple-linear-regression analysis
CALL dia_ptr_init ! called here since it uses iom_use
CALL iom_init_closedef
IF( ln_crs ) CALL iom_init( TRIM(cxios_context)//"_crs" ) ! for coarse grid
ENDIF
IF( kstp == nitrst .AND. lwxios ) THEN
CALL iom_swap( cw_ocerst_cxt )
CALL iom_init_closedef( cw_ocerst_cxt )
CALL iom_setkt( kstp - nit000 + 1, cw_ocerst_cxt )
#if defined key_top
CALL iom_swap( cw_toprst_cxt )
CALL iom_init_closedef( cw_toprst_cxt )
CALL iom_setkt( kstp - nit000 + 1, cw_toprst_cxt )
#endif
ENDIF
#if defined key_si3
IF( kstp + nn_fsbc - 1 == nitrst .AND. lwxios ) THEN
CALL iom_swap( cw_icerst_cxt )
CALL iom_init_closedef( cw_icerst_cxt )
CALL iom_setkt( kstp - nit000 + 1, cw_icerst_cxt )
ENDIF
#endif
IF( kstp /= nit000 ) CALL day( kstp ) ! Calendar (day was already called at nit000 in day_init)
CALL iom_setkt( kstp - nit000 + 1, cxios_context ) ! tell IOM we are at time step kstp
IF( ln_crs ) CALL iom_setkt( kstp - nit000 + 1, TRIM(cxios_context)//"_crs" ) ! tell IOM we are at time step kstp
!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
! Update external forcing (tides, open boundaries, ice shelf interaction and surface boundary condition (including sea-ice)
!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
IF( ln_tide ) CALL tide_update( kstp ) ! update tide potential
IF( ln_apr_dyn ) CALL sbc_apr ( kstp ) ! atmospheric pressure (NB: call before bdy_dta which needs ssh_ib)
IF( ln_bdy ) CALL bdy_dta ( kstp, Nbb ) ! update dynamic & tracer data at open boundaries
IF( ln_isf ) CALL isf_stp ( kstp, Nbb ) ! update iceshelf geometry
CALL sbc ( kstp, Nbb, Nbb ) ! Sea Boundary Condition (including sea-ice)
!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
! Update stochastic parameters and random T/S fluctuations
!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
IF( ln_sto_eos ) CALL sto_par( kstp ) ! Stochastic parameters
IF( ln_sto_eos ) CALL sto_pts( ts(:,:,:,:,Nnn) ) ! Random T/S fluctuations
!!gm ocean physic computed at stage 3 ?
!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
! Ocean physics update
!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
! THERMODYNAMICS
!!gm only Before is needed for bn2 and rab (except at stage 3 for n2)
!!gm issue with Nnn used in rad(Nbb)
CALL eos_rab( ts(:,:,:,:,Nbb), rab_b, Nbb ) ! before local thermal/haline expension ratio at T-points
!!st CALL eos_rab( ts(:,:,:,:,Nnn), rab_n, Nnn ) ! now local thermal/haline expension ratio at T-points
CALL bn2 ( ts(:,:,:,:,Nbb), rab_b, rn2b, Nbb ) ! before Brunt-Vaisala frequency
!!st CALL bn2 ( ts(:,:,:,:,Nnn), rab_n, rn2, Nnn ) ! now Brunt-Vaisala frequency
!!gm
rab_n = rab_b
rn2 = rn2b
!!gm sh2 computed at the end of the time-step
!!gm or call zdf_phy at the end !
! VERTICAL PHYSICS
!!st CALL zdf_phy( kstp, Nbb, Nnn, Nrhs ) ! vertical physics update (top/bot drag, avt, avs, avm + MLD)
CALL zdf_phy( kstp, Nbb, Nbb, Nrhs ) ! vertical physics update (top/bot drag, avt, avs, avm + MLD)
!!gm gdep
IF( ln_zps .OR. l_ldfslp ) CALL eos( ts(:,:,:,:,Nbb), rhd, gdept_0(:,:,:) ) ! before in situ density
IF( ln_zps .AND. .NOT. ln_isfcav) &
& CALL zps_hde ( kstp, jpts, ts(:,:,:,:,Nbb), gtsu, gtsv, & ! Partial steps: before horizontal gradient
& rhd, gru , grv ) ! of t, s, rd at the last ocean level
IF( ln_zps .AND. ln_isfcav) &
& CALL zps_hde_isf( kstp, jpts, ts(:,:,:,:,Nbb), gtsu, gtsv, gtui, gtvi, & ! Partial steps for top cell (ISF)
& rhd, gru , grv , grui, grvi ) ! of t, s, rd at the first ocean level
IF( l_ldfslp ) THEN ! slope of lateral mixing
IF( ln_traldf_triad ) THEN
CALL ldf_slp_triad( kstp, Nbb, Nbb ) ! before slope for triad operator
ELSE
CALL ldf_slp ( kstp, rhd, rn2b, Nbb, Nbb ) ! before slope for standard operator
ENDIF
ENDIF
! ! eddy diffusivity coeff.
IF( l_ldftra_time .OR. l_ldfeiv_time ) CALL ldf_tra( kstp, Nbb, Nbb ) ! and/or eiv coeff.
IF( l_ldfdyn_time ) CALL ldf_dyn( kstp, Nbb ) ! eddy viscosity coeff.
!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
! RK3 : single first external mode computation
!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
Sibylle TECHENE
committed
CALL stp_2D( kstp, Nbb, Nbb, Naa, Nrhs ) ! out: ssh, (uu_b,vv_b) at Naa and (un_adv,vn_adv) between Nbb and Naa
!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
! RK3 time integration
!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
CALL rk3_dia( kstp, 0 ) ! Diagnostics switched off for stage 1 & 2
!
! Stage 1 :
CALL stp_RK3_stg( 1, kstp, Nbb, Nbb, Nrhs, Naa )
!
Nrhs = Nnn ; Nnn = Naa ; Naa = Nrhs ! Swap: Nbb unchanged, Nnn <==> Naa
!
! Stage 2 :
CALL stp_RK3_stg( 2, kstp, Nbb, Nnn, Nrhs, Naa )
!
Nrhs = Nnn ; Nnn = Naa ; Naa = Nrhs ! Swap: Nbb unchanged, Nnn <==> Naa
!
! Stage 3 :
CALL rk3_dia( kstp, 1 ) ! Diagnostics switched on for stage 3
!
CALL stp_RK3_stg( 3, kstp, Nbb, Nnn, Nrhs, Naa )
!
Nrhs = Nbb ; Nbb = Naa ; Naa = Nrhs ! Swap: Nnn unchanged, Nbb <==> Naa
Sibylle TECHENE
committed
! linear extrapolation of ssh to compute ww at the beginning of the next time-step
! ssh(n+1) = 2*ssh(n) - ssh(n-1)
ssh(:,:,Naa) = 2*ssh(:,:,Nbb) - ssh(:,:,Naa)
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!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
! diagnostics and outputs
!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
!==>>> at Nbb no more Nnn
IF( ln_diacfl ) CALL dia_cfl ( kstp, Nbb ) ! Courant number diagnostics
CALL dia_hth ( kstp, Nbb ) ! Thermocline depth (20 degres isotherm depth)
IF( ln_diadct ) CALL dia_dct ( kstp, Nbb ) ! Transports
!!st CALL dia_ar5 ( kstp, Nbb ) ! ar5 diag
CALL dia_ptr ( kstp, Nbb ) ! Poleward adv/ldf TRansports diagnostics
CALL dia_wri ( kstp, Nbb ) ! ocean model: outputs
IF( ln_crs ) CALL crs_fld ( kstp, Nbb ) ! ocean model: online field coarsening & output
IF( lk_diadetide ) CALL dia_detide( kstp ) ! Weights computation for daily detiding of model diagnostics
IF( lk_diamlr ) CALL dia_mlr ! Update time used in multiple-linear-regression analysis
!!====>>>> to be modified for RK3
! IF( ln_floats ) CALL flo_stp ( kstp, Nbb, Nnn ) ! drifting Floats
! IF( ln_diahsb ) CALL dia_hsb ( kstp, Nbb, Nnn ) ! - ML - global conservation diagnostics
!!st
IF( ln_diahsb ) CALL dia_hsb ( kstp, Nbb, Nbb ) ! - ML - global conservation diagnostics
!!st
!!gm : This does not only concern the dynamics ==>>> add a new title
!!gm2: why ouput restart before AGRIF update?
!!
!!jc: That would be better, but see comment above
!!
!!====>>>> to be modified for RK3
Sibylle TECHENE
committed
IF( lrst_oce ) CALL rst_write ( kstp, Nbb, Nnn, Naa ) ! write output ocean restart file
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IF( ln_sto_eos ) CALL sto_rst_write( kstp ) ! write restart file for stochastic parameters
#if defined key_agrif
!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
! AGRIF recursive integration
!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
Kbb_a = Nbb; Kmm_a = Nbb; Krhs_a = Nrhs ! agrif_oce module copies of time level indices
CALL Agrif_Integrate_ChildGrids( stp_RK3 ) ! allows to finish all the Child Grids before updating
#endif
!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
! Control
!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
CALL stp_ctl ( kstp, Nbb )
#if defined key_agrif
!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
! AGRIF update
!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
IF( Agrif_NbStepint() == 0 .AND. nstop == 0 ) &
& CALL Agrif_update_all( ) ! Update all components
#endif
IF( ln_diaobs .AND. nstop == 0 ) &
& CALL dia_obs( kstp, Nnn ) ! obs-minus-model (assimilation) diags (after dynamics update)
!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
! File manipulation at the end of the first time step
!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
IF( kstp == nit000 ) THEN ! 1st time step only
CALL iom_close( numror ) ! close input ocean restart file
IF( lrxios ) CALL iom_context_finalize( cr_ocerst_cxt )
IF(lwm) CALL FLUSH ( numond ) ! flush output namelist oce
IF(lwm .AND. numoni /= -1 ) CALL FLUSH ( numoni ) ! flush output namelist ice (if exist)
ENDIF
!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
! Coupled mode
!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
IF( lk_oasis .AND. nstop == 0 ) CALL sbc_cpl_snd( kstp, Nbb, Nnn ) ! coupled mode : field exchanges
!
#if defined key_xios
!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
! Finalize contextes if end of simulation or error detected
!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
IF( kstp == nitend .OR. nstop > 0 ) THEN
CALL iom_context_finalize( cxios_context ) ! needed for XIOS+AGRIF
IF( ln_crs ) CALL iom_context_finalize( trim(cxios_context)//"_crs" ) !
ENDIF
#endif
!
IF( ln_timing ) CALL timing_stop('stp_RK3')
!
END SUBROUTINE stp_RK3
SUBROUTINE mlf_baro_corr( Kmm, Kaa, puu, pvv )
!!----------------------------------------------------------------------
!! *** ROUTINE mlf_baro_corr ***
!!
!! ** Purpose : Finalize after horizontal velocity.
!!
!! ** Method : * Ensure after velocities transport matches time splitting
!! estimate (ln_dynspg_ts=T)
!!
!! ** Action : puu(Kmm),pvv(Kmm) updated now horizontal velocity (ln_bt_fw=F)
!! puu(Kaa),pvv(Kaa) after horizontal velocity
!!----------------------------------------------------------------------
!!
INTEGER , INTENT(in ) :: Kmm, Kaa ! before and after time level indices
REAL(wp), DIMENSION(jpi,jpj,jpk,jpt), INTENT(inout) :: puu, pvv ! velocities
!
INTEGER :: jk ! dummy loop indices
REAL(wp), DIMENSION(jpi,jpj) :: zue, zve
!!----------------------------------------------------------------------
! Ensure below that barotropic velocities match time splitting estimate
! Compute actual transport and replace it with ts estimate at "after" time step
zue(:,:) = e3u(:,:,1,Kaa) * puu(:,:,1,Kaa) * umask(:,:,1)
zve(:,:) = e3v(:,:,1,Kaa) * pvv(:,:,1,Kaa) * vmask(:,:,1)
DO jk = 2, jpkm1
zue(:,:) = zue(:,:) + e3u(:,:,jk,Kaa) * puu(:,:,jk,Kaa) * umask(:,:,jk)
zve(:,:) = zve(:,:) + e3v(:,:,jk,Kaa) * pvv(:,:,jk,Kaa) * vmask(:,:,jk)
END DO
DO jk = 1, jpkm1
puu(:,:,jk,Kaa) = ( puu(:,:,jk,Kaa) - zue(:,:) * r1_hu(:,:,Kaa) + uu_b(:,:,Kaa) ) * umask(:,:,jk)
pvv(:,:,jk,Kaa) = ( pvv(:,:,jk,Kaa) - zve(:,:) * r1_hv(:,:,Kaa) + vv_b(:,:,Kaa) ) * vmask(:,:,jk)
END DO
!
!!st IF( .NOT.ln_bt_fw ) THEN
!!st ! Remove advective velocity from "now velocities"
!!st ! prior to asselin filtering
!!st ! In the forward case, this is done below after asselin filtering
!!st ! so that asselin contribution is removed at the same time
!!st DO jk = 1, jpkm1
!!st puu(:,:,jk,Kmm) = ( puu(:,:,jk,Kmm) - un_adv(:,:)*r1_hu(:,:,Kmm) + uu_b(:,:,Kmm) )*umask(:,:,jk)
!!st pvv(:,:,jk,Kmm) = ( pvv(:,:,jk,Kmm) - vn_adv(:,:)*r1_hv(:,:,Kmm) + vv_b(:,:,Kmm) )*vmask(:,:,jk)
!!st END DO
!!st ENDIF
!
END SUBROUTINE mlf_baro_corr
SUBROUTINE rk3_dia( kstp, kswitch )
!!----------------------------------------------------------------------
!!----------------------------------------------------------------------
INTEGER, INTENT(in) :: kstp ! ocean time-step index
INTEGER, INTENT(in) :: kswitch ! on/off = 1/0
!!
LOGICAL, SAVE :: ll_trddyn, ll_trdtrc, ll_trdtra ! call trd at stage 3 only
LOGICAL, SAVE :: ll_diaptr, ll_ldfeiv_dia
!!----------------------------------------------------------------------
!
IF( kstp == nit000 ) THEN ! save diagnotic logical
ll_trdtra = l_trdtra
ll_trdtrc = l_trdtrc
ll_trddyn = l_trddyn
ll_diaptr = l_diaptr
ll_ldfeiv_dia = l_ldfeiv_dia
ENDIF
!
SELECT CASE( kswitch )
CASE ( 1 ) ! diagnostic activated (on)
l_trdtra = ll_trdtra
l_trdtrc = ll_trdtrc
l_trddyn = ll_trddyn
l_diaptr = ll_diaptr
l_ldfeiv_dia = ll_ldfeiv_dia
CASE ( 0 ) ! diagnostic desactivated (off)
l_trdtra = .FALSE.
l_trdtrc = .FALSE.
l_trddyn = .FALSE.
l_diaptr = .FALSE.
l_ldfeiv_dia = .FALSE.
END SELECT
!
END SUBROUTINE rk3_dia
#else
!!----------------------------------------------------------------------
!! default option EMPTY MODULE qco not activated
!!----------------------------------------------------------------------
#endif
!!======================================================================
END MODULE stprk3