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asminc.F90
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MODULE asminc
!!======================================================================
!! *** MODULE asminc ***
!! Assimilation increment : Apply an increment generated by data
!! assimilation
!!======================================================================
!! History : ! 2007-03 (M. Martin) Met Office version
!! ! 2007-04 (A. Weaver) calc_date original code
!! ! 2007-04 (A. Weaver) Merge with OPAVAR/NEMOVAR
!! NEMO 3.3 ! 2010-05 (D. Lea) Update to work with NEMO v3.2
!! - ! 2010-05 (D. Lea) add calc_month_len routine based on day_init
!! 3.4 ! 2012-10 (A. Weaver and K. Mogensen) Fix for direct initialization
!!----------------------------------------------------------------------
!!----------------------------------------------------------------------
!! 'key_asminc' : Switch on the assimilation increment interface
!!----------------------------------------------------------------------
!! asm_inc_init : Initialize the increment arrays and IAU weights
!! calc_date : Compute the calendar date YYYYMMDD on a given step
!! tra_asm_inc : Apply the tracer (T and S) increments
!! dyn_asm_inc : Apply the dynamic (u and v) increments
!! ssh_asm_inc : Apply the SSH increment
!! seaice_asm_inc : Apply the seaice increment
!!----------------------------------------------------------------------
USE wrk_nemo ! Memory Allocation
USE par_oce ! Ocean space and time domain variables
USE dom_oce ! Ocean space and time domain
USE domvvl ! domain: variable volume level
USE oce ! Dynamics and active tracers defined in memory
USE ldfdyn_oce ! ocean dynamics: lateral physics
USE eosbn2 ! Equation of state - in situ and potential density
USE zpshde ! Partial step : Horizontal Derivative
USE iom ! Library to read input files
USE asmpar ! Parameters for the assmilation interface
USE c1d ! 1D initialization
USE in_out_manager ! I/O manager
USE lib_mpp ! MPP library
#if defined key_lim2
USE ice_2 ! LIM2
#endif
#if defined key_cice && defined key_asminc
USE sbc_ice, ONLY : & ! CICE Ice model variables
& ndaice_da, nfresh_da, nfsalt_da
#endif
USE sbc_oce ! Surface boundary condition variables.
IMPLICIT NONE
PRIVATE
PUBLIC asm_inc_init !: Initialize the increment arrays and IAU weights
PUBLIC calc_date !: Compute the calendar date YYYYMMDD on a given step
PUBLIC tra_asm_inc !: Apply the tracer (T and S) increments
PUBLIC dyn_asm_inc !: Apply the dynamic (u and v) increments
PUBLIC ssh_asm_inc !: Apply the SSH increment
PUBLIC seaice_asm_inc !: Apply the seaice increment
#if defined key_asminc
LOGICAL, PUBLIC, PARAMETER :: lk_asminc = .TRUE. !: Logical switch for assimilation increment interface
#else
LOGICAL, PUBLIC, PARAMETER :: lk_asminc = .FALSE. !: No assimilation increments
#endif
LOGICAL, PUBLIC :: ln_bkgwri = .FALSE. !: No output of the background state fields
LOGICAL, PUBLIC :: ln_asmiau = .FALSE. !: No applying forcing with an assimilation increment
LOGICAL, PUBLIC :: ln_asmdin = .FALSE. !: No direct initialization
LOGICAL, PUBLIC :: ln_trainc = .FALSE. !: No tracer (T and S) assimilation increments
LOGICAL, PUBLIC :: ln_dyninc = .FALSE. !: No dynamics (u and v) assimilation increments
LOGICAL, PUBLIC :: ln_sshinc = .FALSE. !: No sea surface height assimilation increment
LOGICAL, PUBLIC :: ln_seaiceinc !: No sea ice concentration increment
LOGICAL, PUBLIC :: ln_salfix = .FALSE. !: Apply minimum salinity check
LOGICAL, PUBLIC :: ln_temnofreeze = .FALSE. !: Don't allow the temperature to drop below freezing
INTEGER, PUBLIC :: nn_divdmp !: Apply divergence damping filter nn_divdmp times
REAL(wp), PUBLIC, DIMENSION(:,:,:), ALLOCATABLE :: t_bkg , s_bkg !: Background temperature and salinity
REAL(wp), PUBLIC, DIMENSION(:,:,:), ALLOCATABLE :: u_bkg , v_bkg !: Background u- & v- velocity components
REAL(wp), PUBLIC, DIMENSION(:,:,:), ALLOCATABLE :: t_bkginc, s_bkginc !: Increment to the background T & S
REAL(wp), PUBLIC, DIMENSION(:,:,:), ALLOCATABLE :: u_bkginc, v_bkginc !: Increment to the u- & v-components
REAL(wp), PUBLIC, DIMENSION(:) , ALLOCATABLE :: wgtiau !: IAU weights for each time step
#if defined key_asminc
REAL(wp), PUBLIC, DIMENSION(:,:), ALLOCATABLE :: ssh_iau !: IAU-weighted sea surface height increment
#endif
! !!! time steps relative to the cycle interval [0,nitend-nit000-1]
INTEGER , PUBLIC :: nitbkg !: Time step of the background state used in the Jb term
INTEGER , PUBLIC :: nitdin !: Time step of the background state for direct initialization
INTEGER , PUBLIC :: nitiaustr !: Time step of the start of the IAU interval
INTEGER , PUBLIC :: nitiaufin !: Time step of the end of the IAU interval
!
INTEGER , PUBLIC :: niaufn !: Type of IAU weighing function: = 0 Constant weighting
! !: = 1 Linear hat-like, centred in middle of IAU interval
REAL(wp), PUBLIC :: salfixmin !: Ensure that the salinity is larger than this value if (ln_salfix)
REAL(wp), DIMENSION(:,:), ALLOCATABLE :: ssh_bkg, ssh_bkginc ! Background sea surface height and its increment
REAL(wp), DIMENSION(:,:), ALLOCATABLE :: seaice_bkginc ! Increment to the background sea ice conc
!! * Substitutions
# include "domzgr_substitute.h90"
# include "ldfdyn_substitute.h90"
# include "vectopt_loop_substitute.h90"
!!----------------------------------------------------------------------
!! NEMO/OPA 3.3 , NEMO Consortium (2010)
!! $Id$
!! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt)
!!----------------------------------------------------------------------
CONTAINS
SUBROUTINE asm_inc_init
!!----------------------------------------------------------------------
!! *** ROUTINE asm_inc_init ***
!!
!! ** Purpose : Initialize the assimilation increment and IAU weights.
!!
!! ** Method : Initialize the assimilation increment and IAU weights.
!!
!! ** Action :
!!----------------------------------------------------------------------
INTEGER :: ji, jj, jk, jt ! dummy loop indices
INTEGER :: imid, inum ! local integers
INTEGER :: ios ! Local integer output status for namelist read
INTEGER :: iiauper ! Number of time steps in the IAU period
INTEGER :: icycper ! Number of time steps in the cycle
INTEGER :: iitend_date ! Date YYYYMMDD of final time step
INTEGER :: iitbkg_date ! Date YYYYMMDD of background time step for Jb term
INTEGER :: iitdin_date ! Date YYYYMMDD of background time step for DI
INTEGER :: iitiaustr_date ! Date YYYYMMDD of IAU interval start time step
INTEGER :: iitiaufin_date ! Date YYYYMMDD of IAU interval final time step
!
REAL(wp) :: znorm ! Normalization factor for IAU weights
REAL(wp) :: ztotwgt ! Value of time-integrated IAU weights (should be equal to one)
REAL(wp) :: z_inc_dateb ! Start date of interval on which increment is valid
REAL(wp) :: z_inc_datef ! End date of interval on which increment is valid
REAL(wp) :: zdate_bkg ! Date in background state file for DI
REAL(wp) :: zdate_inc ! Time axis in increments file
!
REAL(wp), POINTER, DIMENSION(:,:) :: hdiv ! 2D workspace
!!
NAMELIST/nam_asminc/ ln_bkgwri, &
& ln_trainc, ln_dyninc, ln_sshinc, &
& ln_asmdin, ln_asmiau, &
& nitbkg, nitdin, nitiaustr, nitiaufin, niaufn, &
& ln_salfix, salfixmin, nn_divdmp, &
& ln_seaiceinc, ln_temnofreeze
!!----------------------------------------------------------------------
!-----------------------------------------------------------------------
! Read Namelist nam_asminc : assimilation increment interface
!-----------------------------------------------------------------------
ln_seaiceinc = .FALSE.
ln_temnofreeze = .FALSE.
REWIND( numnam_ref ) ! Namelist nam_asminc in reference namelist : Assimilation increment
READ ( numnam_ref, nam_asminc, IOSTAT = ios, ERR = 901)
901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'nam_asminc in reference namelist', lwp )
REWIND( numnam_cfg ) ! Namelist nam_asminc in configuration namelist : Assimilation increment
READ ( numnam_cfg, nam_asminc, IOSTAT = ios, ERR = 902 )
902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'nam_asminc in configuration namelist', lwp )
IF(lwm) WRITE ( numond, nam_asminc )
! Control print
IF(lwp) THEN
WRITE(numout,*)
WRITE(numout,*) 'asm_inc_init : Assimilation increment initialization :'
WRITE(numout,*) '~~~~~~~~~~~~'
WRITE(numout,*) ' Namelist namasm : set assimilation increment parameters'
WRITE(numout,*) ' Logical switch for writing out background state ln_bkgwri = ', ln_bkgwri
WRITE(numout,*) ' Logical switch for applying tracer increments ln_trainc = ', ln_trainc
WRITE(numout,*) ' Logical switch for applying velocity increments ln_dyninc = ', ln_dyninc
WRITE(numout,*) ' Logical switch for applying SSH increments ln_sshinc = ', ln_sshinc
WRITE(numout,*) ' Logical switch for Direct Initialization (DI) ln_asmdin = ', ln_asmdin
WRITE(numout,*) ' Logical switch for applying sea ice increments ln_seaiceinc = ', ln_seaiceinc
WRITE(numout,*) ' Logical switch for Incremental Analysis Updating (IAU) ln_asmiau = ', ln_asmiau
WRITE(numout,*) ' Timestep of background in [0,nitend-nit000-1] nitbkg = ', nitbkg
WRITE(numout,*) ' Timestep of background for DI in [0,nitend-nit000-1] nitdin = ', nitdin
WRITE(numout,*) ' Timestep of start of IAU interval in [0,nitend-nit000-1] nitiaustr = ', nitiaustr
WRITE(numout,*) ' Timestep of end of IAU interval in [0,nitend-nit000-1] nitiaufin = ', nitiaufin
WRITE(numout,*) ' Type of IAU weighting function niaufn = ', niaufn
WRITE(numout,*) ' Logical switch for ensuring that the sa > salfixmin ln_salfix = ', ln_salfix
WRITE(numout,*) ' Minimum salinity after applying the increments salfixmin = ', salfixmin
ENDIF
nitbkg_r = nitbkg + nit000 - 1 ! Background time referenced to nit000
nitdin_r = nitdin + nit000 - 1 ! Background time for DI referenced to nit000
nitiaustr_r = nitiaustr + nit000 - 1 ! Start of IAU interval referenced to nit000
nitiaufin_r = nitiaufin + nit000 - 1 ! End of IAU interval referenced to nit000
iiauper = nitiaufin_r - nitiaustr_r + 1 ! IAU interval length
icycper = nitend - nit000 + 1 ! Cycle interval length
CALL calc_date( nit000, nitend , ndate0, iitend_date ) ! Date of final time step
CALL calc_date( nit000, nitbkg_r , ndate0, iitbkg_date ) ! Background time for Jb referenced to ndate0
CALL calc_date( nit000, nitdin_r , ndate0, iitdin_date ) ! Background time for DI referenced to ndate0
CALL calc_date( nit000, nitiaustr_r, ndate0, iitiaustr_date ) ! IAU start time referenced to ndate0
CALL calc_date( nit000, nitiaufin_r, ndate0, iitiaufin_date ) ! IAU end time referenced to ndate0
!
IF(lwp) THEN
WRITE(numout,*)
WRITE(numout,*) ' Time steps referenced to current cycle:'
WRITE(numout,*) ' iitrst = ', nit000 - 1
WRITE(numout,*) ' nit000 = ', nit000
WRITE(numout,*) ' nitend = ', nitend
WRITE(numout,*) ' nitbkg_r = ', nitbkg_r
WRITE(numout,*) ' nitdin_r = ', nitdin_r
WRITE(numout,*) ' nitiaustr_r = ', nitiaustr_r
WRITE(numout,*) ' nitiaufin_r = ', nitiaufin_r
WRITE(numout,*)
WRITE(numout,*) ' Dates referenced to current cycle:'
WRITE(numout,*) ' ndastp = ', ndastp
WRITE(numout,*) ' ndate0 = ', ndate0
WRITE(numout,*) ' iitend_date = ', iitend_date
WRITE(numout,*) ' iitbkg_date = ', iitbkg_date
WRITE(numout,*) ' iitdin_date = ', iitdin_date
WRITE(numout,*) ' iitiaustr_date = ', iitiaustr_date
WRITE(numout,*) ' iitiaufin_date = ', iitiaufin_date
ENDIF
IF ( nacc /= 0 ) &
& CALL ctl_stop( ' nacc /= 0 and key_asminc :', &
& ' Assimilation increments have only been implemented', &
& ' for synchronous time stepping' )
IF ( ( ln_asmdin ).AND.( ln_asmiau ) ) &
& CALL ctl_stop( ' ln_asmdin and ln_asmiau :', &
& ' Choose Direct Initialization OR Incremental Analysis Updating')
IF ( ( ( .NOT. ln_asmdin ).AND.( .NOT. ln_asmiau ) ) &
.AND.( ( ln_trainc ).OR.( ln_dyninc ).OR.( ln_sshinc ) .OR. ( ln_seaiceinc) )) &
& CALL ctl_stop( ' One or more of ln_trainc, ln_dyninc, ln_sshinc and ln_seaiceinc is set to .true.', &
& ' but ln_asmdin and ln_asmiau are both set to .false. :', &
& ' Inconsistent options')
IF ( ( niaufn /= 0 ).AND.( niaufn /= 1 ) ) &
& CALL ctl_stop( ' niaufn /= 0 or niaufn /=1 :', &
& ' Type IAU weighting function is invalid')
IF ( ( .NOT. ln_trainc ).AND.( .NOT. ln_dyninc ).AND.( .NOT. ln_sshinc ).AND.( .NOT. ln_seaiceinc ) &
& ) &
& CALL ctl_warn( ' ln_trainc, ln_dyninc, ln_sshinc and ln_seaiceinc are set to .false. :', &
& ' The assimilation increments are not applied')
IF ( ( ln_asmiau ).AND.( nitiaustr == nitiaufin ) ) &
& CALL ctl_stop( ' nitiaustr = nitiaufin :', &
& ' IAU interval is of zero length')
IF ( ( ln_asmiau ).AND.( ( nitiaustr_r < nit000 ).OR.( nitiaufin_r > nitend ) ) ) &
& CALL ctl_stop( ' nitiaustr or nitiaufin :', &
& ' IAU starting or final time step is outside the cycle interval', &
& ' Valid range nit000 to nitend')
IF ( ( nitbkg_r < nit000 - 1 ).OR.( nitbkg_r > nitend ) ) &
& CALL ctl_stop( ' nitbkg :', &
& ' Background time step is outside the cycle interval')
IF ( ( nitdin_r < nit000 - 1 ).OR.( nitdin_r > nitend ) ) &
& CALL ctl_stop( ' nitdin :', &
& ' Background time step for Direct Initialization is outside', &
& ' the cycle interval')
IF ( nstop > 0 ) RETURN ! if there are any errors then go no further
!--------------------------------------------------------------------
! Initialize the Incremental Analysis Updating weighting function
!--------------------------------------------------------------------
IF ( ln_asmiau ) THEN
ALLOCATE( wgtiau( icycper ) )
wgtiau(:) = 0.0
IF ( niaufn == 0 ) THEN
!---------------------------------------------------------
! Constant IAU forcing
!---------------------------------------------------------
DO jt = 1, iiauper
wgtiau(jt+nitiaustr-1) = 1.0 / REAL( iiauper )
END DO
ELSEIF ( niaufn == 1 ) THEN
!---------------------------------------------------------
! Linear hat-like, centred in middle of IAU interval
!---------------------------------------------------------
! Compute the normalization factor
znorm = 0.0
IF ( MOD( iiauper, 2 ) == 0 ) THEN ! Even number of time steps in IAU interval
imid = iiauper / 2
DO jt = 1, imid
znorm = znorm + REAL( jt )
END DO
znorm = 2.0 * znorm
ELSE ! Odd number of time steps in IAU interval
imid = ( iiauper + 1 ) / 2
DO jt = 1, imid - 1
znorm = znorm + REAL( jt )
END DO
znorm = 2.0 * znorm + REAL( imid )
ENDIF
znorm = 1.0 / znorm
DO jt = 1, imid - 1
wgtiau(jt+nitiaustr-1) = REAL( jt ) * znorm
END DO
DO jt = imid, iiauper
wgtiau(jt+nitiaustr-1) = REAL( iiauper - jt + 1 ) * znorm
END DO
ENDIF
! Test that the integral of the weights over the weighting interval equals 1
IF(lwp) THEN
WRITE(numout,*)
WRITE(numout,*) 'asm_inc_init : IAU weights'
WRITE(numout,*) '~~~~~~~~~~~~'
WRITE(numout,*) ' time step IAU weight'
WRITE(numout,*) ' ========= ====================='
ztotwgt = 0.0
DO jt = 1, icycper
ztotwgt = ztotwgt + wgtiau(jt)
WRITE(numout,*) ' ', jt, ' ', wgtiau(jt)
END DO
WRITE(numout,*) ' ==================================='
WRITE(numout,*) ' Time-integrated weight = ', ztotwgt
WRITE(numout,*) ' ==================================='
ENDIF
ENDIF
!--------------------------------------------------------------------
! Allocate and initialize the increment arrays
!--------------------------------------------------------------------
ALLOCATE( t_bkginc(jpi,jpj,jpk) )
ALLOCATE( s_bkginc(jpi,jpj,jpk) )
ALLOCATE( u_bkginc(jpi,jpj,jpk) )
ALLOCATE( v_bkginc(jpi,jpj,jpk) )
ALLOCATE( ssh_bkginc(jpi,jpj) )
ALLOCATE( seaice_bkginc(jpi,jpj))
#if defined key_asminc
ALLOCATE( ssh_iau(jpi,jpj) )
#endif
t_bkginc(:,:,:) = 0.0
s_bkginc(:,:,:) = 0.0
u_bkginc(:,:,:) = 0.0
v_bkginc(:,:,:) = 0.0
ssh_bkginc(:,:) = 0.0
seaice_bkginc(:,:) = 0.0
#if defined key_asminc
ssh_iau(:,:) = 0.0
#endif
IF ( ( ln_trainc ).OR.( ln_dyninc ).OR.( ln_sshinc ).OR.( ln_seaiceinc ) ) THEN
!--------------------------------------------------------------------
! Read the increments from file
!--------------------------------------------------------------------
CALL iom_open( c_asminc, inum )
CALL iom_get( inum, 'time', zdate_inc )
CALL iom_get( inum, 'z_inc_dateb', z_inc_dateb )
CALL iom_get( inum, 'z_inc_datef', z_inc_datef )
z_inc_dateb = zdate_inc
z_inc_datef = zdate_inc
IF(lwp) THEN
WRITE(numout,*)
WRITE(numout,*) 'asm_inc_init : Assimilation increments valid ', &
& ' between dates ', NINT( z_inc_dateb ),' and ', &
& NINT( z_inc_datef )
WRITE(numout,*) '~~~~~~~~~~~~'
ENDIF
IF ( ( NINT( z_inc_dateb ) < ndastp ) &
& .OR.( NINT( z_inc_datef ) > iitend_date ) ) &
& CALL ctl_warn( ' Validity time of assimilation increments is ', &
& ' outside the assimilation interval' )
IF ( ( ln_asmdin ).AND.( NINT( zdate_inc ) /= iitdin_date ) ) &
& CALL ctl_warn( ' Validity time of assimilation increments does ', &
& ' not agree with Direct Initialization time' )
IF ( ln_trainc ) THEN
CALL iom_get( inum, jpdom_autoglo, 'bckint', t_bkginc, 1 )
CALL iom_get( inum, jpdom_autoglo, 'bckins', s_bkginc, 1 )
! Apply the masks
t_bkginc(:,:,:) = t_bkginc(:,:,:) * tmask(:,:,:)
s_bkginc(:,:,:) = s_bkginc(:,:,:) * tmask(:,:,:)
! Set missing increments to 0.0 rather than 1e+20
! to allow for differences in masks
WHERE( ABS( t_bkginc(:,:,:) ) > 1.0e+10 ) t_bkginc(:,:,:) = 0.0
WHERE( ABS( s_bkginc(:,:,:) ) > 1.0e+10 ) s_bkginc(:,:,:) = 0.0
ENDIF
IF ( ln_dyninc ) THEN
CALL iom_get( inum, jpdom_autoglo, 'bckinu', u_bkginc, 1 )
CALL iom_get( inum, jpdom_autoglo, 'bckinv', v_bkginc, 1 )
! Apply the masks
u_bkginc(:,:,:) = u_bkginc(:,:,:) * umask(:,:,:)
v_bkginc(:,:,:) = v_bkginc(:,:,:) * vmask(:,:,:)
! Set missing increments to 0.0 rather than 1e+20
! to allow for differences in masks
WHERE( ABS( u_bkginc(:,:,:) ) > 1.0e+10 ) u_bkginc(:,:,:) = 0.0
WHERE( ABS( v_bkginc(:,:,:) ) > 1.0e+10 ) v_bkginc(:,:,:) = 0.0
ENDIF
IF ( ln_sshinc ) THEN
CALL iom_get( inum, jpdom_autoglo, 'bckineta', ssh_bkginc, 1 )
! Apply the masks
ssh_bkginc(:,:) = ssh_bkginc(:,:) * tmask(:,:,1)
! Set missing increments to 0.0 rather than 1e+20
! to allow for differences in masks
WHERE( ABS( ssh_bkginc(:,:) ) > 1.0e+10 ) ssh_bkginc(:,:) = 0.0
ENDIF
IF ( ln_seaiceinc ) THEN
CALL iom_get( inum, jpdom_autoglo, 'bckinseaice', seaice_bkginc, 1 )
! Apply the masks
seaice_bkginc(:,:) = seaice_bkginc(:,:) * tmask(:,:,1)
! Set missing increments to 0.0 rather than 1e+20
! to allow for differences in masks
WHERE( ABS( seaice_bkginc(:,:) ) > 1.0e+10 ) seaice_bkginc(:,:) = 0.0
ENDIF
CALL iom_close( inum )
ENDIF
!-----------------------------------------------------------------------
! Apply divergence damping filter
!-----------------------------------------------------------------------
IF ( ln_dyninc .AND. nn_divdmp > 0 ) THEN
CALL wrk_alloc(jpi,jpj,hdiv)
DO jt = 1, nn_divdmp
DO jk = 1, jpkm1
hdiv(:,:) = 0._wp
DO jj = 2, jpjm1
DO ji = fs_2, fs_jpim1 ! vector opt.
hdiv(ji,jj) = &
( e2u(ji ,jj ) * fse3u(ji ,jj ,jk) * u_bkginc(ji ,jj ,jk) &
- e2u(ji-1,jj ) * fse3u(ji-1,jj ,jk) * u_bkginc(ji-1,jj ,jk) &
+ e1v(ji ,jj ) * fse3v(ji ,jj ,jk) * v_bkginc(ji ,jj ,jk) &
- e1v(ji ,jj-1) * fse3v(ji ,jj-1,jk) * v_bkginc(ji ,jj-1,jk) ) &
/ ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) )
END DO
END DO
CALL lbc_lnk( hdiv, 'T', 1. ) ! lateral boundary cond. (no sign change)
DO jj = 2, jpjm1
DO ji = fs_2, fs_jpim1 ! vector opt.
u_bkginc(ji,jj,jk) = u_bkginc(ji,jj,jk) + 0.2_wp * ( e1t(ji+1,jj)*e2t(ji+1,jj) * hdiv(ji+1,jj) &
- e1t(ji ,jj)*e2t(ji ,jj) * hdiv(ji ,jj) ) &
/ e1u(ji,jj) * umask(ji,jj,jk)
v_bkginc(ji,jj,jk) = v_bkginc(ji,jj,jk) + 0.2_wp * ( e1t(ji,jj+1)*e2t(ji,jj+1) * hdiv(ji,jj+1) &
- e1t(ji,jj )*e2t(ji,jj ) * hdiv(ji,jj ) ) &
/ e2v(ji,jj) * vmask(ji,jj,jk)
END DO
END DO
END DO
END DO
CALL wrk_dealloc(jpi,jpj,hdiv)
ENDIF
!-----------------------------------------------------------------------
! Allocate and initialize the background state arrays
!-----------------------------------------------------------------------
IF ( ln_asmdin ) THEN
ALLOCATE( t_bkg(jpi,jpj,jpk) )
ALLOCATE( s_bkg(jpi,jpj,jpk) )
ALLOCATE( u_bkg(jpi,jpj,jpk) )
ALLOCATE( v_bkg(jpi,jpj,jpk) )
ALLOCATE( ssh_bkg(jpi,jpj) )
t_bkg(:,:,:) = 0.0
s_bkg(:,:,:) = 0.0
u_bkg(:,:,:) = 0.0
v_bkg(:,:,:) = 0.0
ssh_bkg(:,:) = 0.0
!--------------------------------------------------------------------
! Read from file the background state at analysis time
!--------------------------------------------------------------------
CALL iom_open( c_asmdin, inum )
CALL iom_get( inum, 'rdastp', zdate_bkg )
IF(lwp) THEN
WRITE(numout,*)
WRITE(numout,*) 'asm_inc_init : Assimilation background state valid at : ', &
& NINT( zdate_bkg )
WRITE(numout,*) '~~~~~~~~~~~~'
ENDIF
IF ( NINT( zdate_bkg ) /= iitdin_date ) &
& CALL ctl_warn( ' Validity time of assimilation background state does', &
& ' not agree with Direct Initialization time' )
IF ( ln_trainc ) THEN
CALL iom_get( inum, jpdom_autoglo, 'tn', t_bkg )
CALL iom_get( inum, jpdom_autoglo, 'sn', s_bkg )
t_bkg(:,:,:) = t_bkg(:,:,:) * tmask(:,:,:)
s_bkg(:,:,:) = s_bkg(:,:,:) * tmask(:,:,:)
ENDIF
IF ( ln_dyninc ) THEN
CALL iom_get( inum, jpdom_autoglo, 'un', u_bkg )
CALL iom_get( inum, jpdom_autoglo, 'vn', v_bkg )
u_bkg(:,:,:) = u_bkg(:,:,:) * umask(:,:,:)
v_bkg(:,:,:) = v_bkg(:,:,:) * vmask(:,:,:)
ENDIF
IF ( ln_sshinc ) THEN
CALL iom_get( inum, jpdom_autoglo, 'sshn', ssh_bkg )
ssh_bkg(:,:) = ssh_bkg(:,:) * tmask(:,:,1)
ENDIF
CALL iom_close( inum )
ENDIF
!
END SUBROUTINE asm_inc_init
SUBROUTINE calc_date( kit000, kt, kdate0, kdate )
!!----------------------------------------------------------------------
!! *** ROUTINE calc_date ***
!!
!! ** Purpose : Compute the calendar date YYYYMMDD at a given time step.
!!
!! ** Method : Compute the calendar date YYYYMMDD at a given time step.
!!
!! ** Action :
!!----------------------------------------------------------------------
INTEGER, INTENT(IN) :: kit000 ! Initial time step
INTEGER, INTENT(IN) :: kt ! Current time step referenced to kit000
INTEGER, INTENT(IN) :: kdate0 ! Initial date
INTEGER, INTENT(OUT) :: kdate ! Current date reference to kdate0
!
INTEGER :: iyea0 ! Initial year
INTEGER :: imon0 ! Initial month
INTEGER :: iday0 ! Initial day
INTEGER :: iyea ! Current year
INTEGER :: imon ! Current month
INTEGER :: iday ! Current day
INTEGER :: idaystp ! Number of days between initial and current date
INTEGER :: idaycnt ! Day counter
INTEGER, DIMENSION(12) :: imonth_len !: length in days of the months of the current year
!-----------------------------------------------------------------------
! Compute the calendar date YYYYMMDD
!-----------------------------------------------------------------------
! Initial date
iyea0 = kdate0 / 10000
imon0 = ( kdate0 - ( iyea0 * 10000 ) ) / 100
iday0 = kdate0 - ( iyea0 * 10000 ) - ( imon0 * 100 )
! Check that kt >= kit000 - 1
IF ( kt < kit000 - 1 ) CALL ctl_stop( ' kt must be >= kit000 - 1')
! If kt = kit000 - 1 then set the date to the restart date
IF ( kt == kit000 - 1 ) THEN
kdate = ndastp
RETURN
ENDIF
! Compute the number of days from the initial date
idaystp = INT( REAL( kt - kit000 ) * rdt / 86400. )
iday = iday0
imon = imon0
iyea = iyea0
idaycnt = 0
CALL calc_month_len( iyea, imonth_len )
DO WHILE ( idaycnt < idaystp )
iday = iday + 1
IF ( iday > imonth_len(imon) ) THEN
iday = 1
imon = imon + 1
ENDIF
IF ( imon > 12 ) THEN
imon = 1
iyea = iyea + 1
CALL calc_month_len( iyea, imonth_len ) ! update month lengths
ENDIF
idaycnt = idaycnt + 1
END DO
!
kdate = iyea * 10000 + imon * 100 + iday
!
END SUBROUTINE
SUBROUTINE calc_month_len( iyear, imonth_len )
!!----------------------------------------------------------------------
!! *** ROUTINE calc_month_len ***
!!
!! ** Purpose : Compute the number of days in a months given a year.
!!
!! ** Method :
!!----------------------------------------------------------------------
INTEGER, DIMENSION(12) :: imonth_len !: length in days of the months of the current year
INTEGER :: iyear !: year
!!----------------------------------------------------------------------
!
! length of the month of the current year (from nleapy, read in namelist)
IF ( nleapy < 2 ) THEN
imonth_len(:) = (/ 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31 /)
IF ( nleapy == 1 ) THEN ! we are using calendar with leap years
IF ( MOD(iyear, 4) == 0 .AND. ( MOD(iyear, 400) == 0 .OR. MOD(iyear, 100) /= 0 ) ) THEN
imonth_len(2) = 29
ENDIF
ENDIF
ELSE
imonth_len(:) = nleapy ! all months with nleapy days per year
ENDIF
!
END SUBROUTINE
SUBROUTINE tra_asm_inc( kt )
!!----------------------------------------------------------------------
!! *** ROUTINE tra_asm_inc ***
!!
!! ** Purpose : Apply the tracer (T and S) assimilation increments
!!
!! ** Method : Direct initialization or Incremental Analysis Updating
!!
!! ** Action :
!!----------------------------------------------------------------------
INTEGER, INTENT(IN) :: kt ! Current time step
!
INTEGER :: ji,jj,jk
INTEGER :: it
REAL(wp) :: zincwgt ! IAU weight for current time step
REAL (wp), DIMENSION(jpi,jpj,jpk) :: fzptnz ! 3d freezing point values
!!----------------------------------------------------------------------
! freezing point calculation taken from oc_fz_pt (but calculated for all depths)
! used to prevent the applied increments taking the temperature below the local freezing point
DO jk = 1, jpkm1
CALL eos_fzp( tsn(:,:,jk,jp_sal), fzptnz(:,:,jk), fsdept(:,:,jk) )
END DO
IF ( ln_asmiau ) THEN
!--------------------------------------------------------------------
! Incremental Analysis Updating
!--------------------------------------------------------------------
IF ( ( kt >= nitiaustr_r ).AND.( kt <= nitiaufin_r ) ) THEN
it = kt - nit000 + 1
zincwgt = wgtiau(it) / rdt ! IAU weight for the current time step
IF(lwp) THEN
WRITE(numout,*)
WRITE(numout,*) 'tra_asm_inc : Tracer IAU at time step = ', kt,' with IAU weight = ', wgtiau(it)
WRITE(numout,*) '~~~~~~~~~~~~'
ENDIF
! Update the tracer tendencies
DO jk = 1, jpkm1
IF (ln_temnofreeze) THEN
! Do not apply negative increments if the temperature will fall below freezing
WHERE(t_bkginc(:,:,jk) > 0.0_wp .OR. &
& tsn(:,:,jk,jp_tem) + tsa(:,:,jk,jp_tem) + t_bkginc(:,:,jk) * wgtiau(it) > fzptnz(:,:,jk) )
tsa(:,:,jk,jp_tem) = tsa(:,:,jk,jp_tem) + t_bkginc(:,:,jk) * zincwgt
END WHERE
ELSE
tsa(:,:,jk,jp_tem) = tsa(:,:,jk,jp_tem) + t_bkginc(:,:,jk) * zincwgt
ENDIF
IF (ln_salfix) THEN
! Do not apply negative increments if the salinity will fall below a specified
! minimum value salfixmin
WHERE(s_bkginc(:,:,jk) > 0.0_wp .OR. &
& tsn(:,:,jk,jp_sal) + tsa(:,:,jk,jp_sal) + s_bkginc(:,:,jk) * wgtiau(it) > salfixmin )
tsa(:,:,jk,jp_sal) = tsa(:,:,jk,jp_sal) + s_bkginc(:,:,jk) * zincwgt
END WHERE
ELSE
tsa(:,:,jk,jp_sal) = tsa(:,:,jk,jp_sal) + s_bkginc(:,:,jk) * zincwgt
ENDIF
END DO
ENDIF
IF ( kt == nitiaufin_r + 1 ) THEN ! For bias crcn to work
DEALLOCATE( t_bkginc )
DEALLOCATE( s_bkginc )
ENDIF
ELSEIF ( ln_asmdin ) THEN
!--------------------------------------------------------------------
! Direct Initialization
!--------------------------------------------------------------------
IF ( kt == nitdin_r ) THEN
neuler = 0 ! Force Euler forward step
! Initialize the now fields with the background + increment
IF (ln_temnofreeze) THEN
! Do not apply negative increments if the temperature will fall below freezing
WHERE( t_bkginc(:,:,:) > 0.0_wp .OR. tsn(:,:,:,jp_tem) + t_bkginc(:,:,:) > fzptnz(:,:,:) )
tsn(:,:,:,jp_tem) = t_bkg(:,:,:) + t_bkginc(:,:,:)
END WHERE
ELSE
tsn(:,:,:,jp_tem) = t_bkg(:,:,:) + t_bkginc(:,:,:)
ENDIF
IF (ln_salfix) THEN
! Do not apply negative increments if the salinity will fall below a specified
! minimum value salfixmin
WHERE( s_bkginc(:,:,:) > 0.0_wp .OR. tsn(:,:,:,jp_sal) + s_bkginc(:,:,:) > salfixmin )
tsn(:,:,:,jp_sal) = s_bkg(:,:,:) + s_bkginc(:,:,:)
END WHERE
ELSE
tsn(:,:,:,jp_sal) = s_bkg(:,:,:) + s_bkginc(:,:,:)
ENDIF
tsb(:,:,:,:) = tsn(:,:,:,:) ! Update before fields
CALL eos( tsb, rhd, rhop, gdept_0(:,:,:) ) ! Before potential and in situ densities
!!gm fabien
! CALL eos( tsb, rhd, rhop ) ! Before potential and in situ densities
!!gm
IF( ln_zps .AND. .NOT. lk_c1d .AND. .NOT. ln_isfcav) &
& CALL zps_hde ( kt, jpts, tsb, gtsu, gtsv, & ! Partial steps: before horizontal gradient
& rhd, gru , grv ) ! of t, s, rd at the last ocean level
IF( ln_zps .AND. .NOT. lk_c1d .AND. ln_isfcav) &
& CALL zps_hde_isf( nit000, jpts, tsb, gtsu, gtsv, & ! Partial steps for top cell (ISF)
& rhd, gru , grv , aru , arv , gzu , gzv , ge3ru , ge3rv , &
& gtui, gtvi, grui, grvi, arui, arvi, gzui, gzvi, ge3rui, ge3rvi ) ! of t, s, rd at the last ocean level
#if defined key_zdfkpp
CALL eos( tsn, rhd, fsdept_n(:,:,:) ) ! Compute rhd
!!gm fabien CALL eos( tsn, rhd ) ! Compute rhd
#endif
DEALLOCATE( t_bkginc )
DEALLOCATE( s_bkginc )
DEALLOCATE( t_bkg )
DEALLOCATE( s_bkg )
ENDIF
!
ENDIF
! Perhaps the following call should be in step
IF ( ln_seaiceinc ) CALL seaice_asm_inc ( kt ) ! apply sea ice concentration increment
!
END SUBROUTINE tra_asm_inc
SUBROUTINE dyn_asm_inc( kt )
!!----------------------------------------------------------------------
!! *** ROUTINE dyn_asm_inc ***
!!
!! ** Purpose : Apply the dynamics (u and v) assimilation increments.
!!
!! ** Method : Direct initialization or Incremental Analysis Updating.
!!
!! ** Action :
!!----------------------------------------------------------------------
INTEGER, INTENT(IN) :: kt ! Current time step
!
INTEGER :: jk
INTEGER :: it
REAL(wp) :: zincwgt ! IAU weight for current time step
!!----------------------------------------------------------------------
IF ( ln_asmiau ) THEN
!--------------------------------------------------------------------
! Incremental Analysis Updating
!--------------------------------------------------------------------
IF ( ( kt >= nitiaustr_r ).AND.( kt <= nitiaufin_r ) ) THEN
it = kt - nit000 + 1
zincwgt = wgtiau(it) / rdt ! IAU weight for the current time step
IF(lwp) THEN
WRITE(numout,*)
WRITE(numout,*) 'dyn_asm_inc : Dynamics IAU at time step = ', &
& kt,' with IAU weight = ', wgtiau(it)
WRITE(numout,*) '~~~~~~~~~~~~'
ENDIF
! Update the dynamic tendencies
DO jk = 1, jpkm1
ua(:,:,jk) = ua(:,:,jk) + u_bkginc(:,:,jk) * zincwgt
va(:,:,jk) = va(:,:,jk) + v_bkginc(:,:,jk) * zincwgt
END DO
IF ( kt == nitiaufin_r ) THEN
DEALLOCATE( u_bkginc )
DEALLOCATE( v_bkginc )
ENDIF
ENDIF
ELSEIF ( ln_asmdin ) THEN
!--------------------------------------------------------------------
! Direct Initialization
!--------------------------------------------------------------------
IF ( kt == nitdin_r ) THEN
neuler = 0 ! Force Euler forward step
! Initialize the now fields with the background + increment
un(:,:,:) = u_bkg(:,:,:) + u_bkginc(:,:,:)
vn(:,:,:) = v_bkg(:,:,:) + v_bkginc(:,:,:)
ub(:,:,:) = un(:,:,:) ! Update before fields
vb(:,:,:) = vn(:,:,:)
DEALLOCATE( u_bkg )
DEALLOCATE( v_bkg )
DEALLOCATE( u_bkginc )
DEALLOCATE( v_bkginc )
ENDIF
!
ENDIF
!
END SUBROUTINE dyn_asm_inc
SUBROUTINE ssh_asm_inc( kt )
!!----------------------------------------------------------------------
!! *** ROUTINE ssh_asm_inc ***
!!
!! ** Purpose : Apply the sea surface height assimilation increment.
!!
!! ** Method : Direct initialization or Incremental Analysis Updating.
!!
!! ** Action :
!!----------------------------------------------------------------------
INTEGER, INTENT(IN) :: kt ! Current time step
!
INTEGER :: it
INTEGER :: jk
REAL(wp) :: zincwgt ! IAU weight for current time step
!!----------------------------------------------------------------------
IF ( ln_asmiau ) THEN
!--------------------------------------------------------------------
! Incremental Analysis Updating
!--------------------------------------------------------------------
IF ( ( kt >= nitiaustr_r ).AND.( kt <= nitiaufin_r ) ) THEN
it = kt - nit000 + 1
zincwgt = wgtiau(it) / rdt ! IAU weight for the current time step
IF(lwp) THEN
WRITE(numout,*)
WRITE(numout,*) 'ssh_asm_inc : SSH IAU at time step = ', &
& kt,' with IAU weight = ', wgtiau(it)
WRITE(numout,*) '~~~~~~~~~~~~'
ENDIF
! Save the tendency associated with the IAU weighted SSH increment
! (applied in dynspg.*)
#if defined key_asminc
ssh_iau(:,:) = ssh_bkginc(:,:) * zincwgt
#endif
IF ( kt == nitiaufin_r ) THEN
DEALLOCATE( ssh_bkginc )
ENDIF
ELSE
#if defined key_asminc
ssh_iau(:,:) = 0.0
#endif
ENDIF
ELSEIF ( ln_asmdin ) THEN
!--------------------------------------------------------------------
! Direct Initialization
!--------------------------------------------------------------------
IF ( kt == nitdin_r ) THEN
neuler = 0 ! Force Euler forward step
! Initialize the now fields the background + increment
sshn(:,:) = ssh_bkg(:,:) + ssh_bkginc(:,:)
! Update before fields
sshb(:,:) = sshn(:,:)
IF( lk_vvl ) THEN
DO jk = 1, jpk
fse3t_b(:,:,jk) = fse3t_n(:,:,jk)
END DO
ENDIF
DEALLOCATE( ssh_bkg )
DEALLOCATE( ssh_bkginc )
ENDIF
!
ENDIF
!
END SUBROUTINE ssh_asm_inc
SUBROUTINE seaice_asm_inc( kt, kindic )
!!----------------------------------------------------------------------
!! *** ROUTINE seaice_asm_inc ***
!!
!! ** Purpose : Apply the sea ice assimilation increment.
!!
!! ** Method : Direct initialization or Incremental Analysis Updating.
!!
!! ** Action :
!!
!!----------------------------------------------------------------------
IMPLICIT NONE
!
INTEGER, INTENT(in) :: kt ! Current time step
INTEGER, INTENT(in), OPTIONAL :: kindic ! flag for disabling the deallocation
!
INTEGER :: it
REAL(wp) :: zincwgt ! IAU weight for current time step
#if defined key_lim2
REAL(wp), DIMENSION(jpi,jpj) :: zofrld, zohicif, zseaicendg, zhicifinc ! LIM
REAL(wp) :: zhicifmin = 0.5_wp ! ice minimum depth in metres
#endif
!!----------------------------------------------------------------------
IF ( ln_asmiau ) THEN
!--------------------------------------------------------------------
! Incremental Analysis Updating
!--------------------------------------------------------------------
IF ( ( kt >= nitiaustr_r ).AND.( kt <= nitiaufin_r ) ) THEN
it = kt - nit000 + 1
zincwgt = wgtiau(it) ! IAU weight for the current time step
! note this is not a tendency so should not be divided by rdt (as with the tracer and other increments)
IF(lwp) THEN
WRITE(numout,*)
WRITE(numout,*) 'seaice_asm_inc : sea ice conc IAU at time step = ', &
& kt,' with IAU weight = ', wgtiau(it)
WRITE(numout,*) '~~~~~~~~~~~~'
ENDIF
! Sea-ice : LIM-3 case (to add)
#if defined key_lim2
! Sea-ice : LIM-2 case
zofrld (:,:) = frld(:,:)
zohicif(:,:) = hicif(:,:)
!
frld = MIN( MAX( frld (:,:) - seaice_bkginc(:,:) * zincwgt, 0.0_wp), 1.0_wp)
pfrld = MIN( MAX( pfrld(:,:) - seaice_bkginc(:,:) * zincwgt, 0.0_wp), 1.0_wp)
fr_i(:,:) = 1.0_wp - frld(:,:) ! adjust ice fraction
!
zseaicendg(:,:) = zofrld(:,:) - frld(:,:) ! find out actual sea ice nudge applied
!
! Nudge sea ice depth to bring it up to a required minimum depth
WHERE( zseaicendg(:,:) > 0.0_wp .AND. hicif(:,:) < zhicifmin )
zhicifinc(:,:) = (zhicifmin - hicif(:,:)) * zincwgt
ELSEWHERE
zhicifinc(:,:) = 0.0_wp
END WHERE
!
! nudge ice depth