MODULE traadv_cen !!====================================================================== !! *** MODULE traadv_cen *** !! Ocean tracers: horizontal & vertical advective trend (2nd/4th order centered) !!====================================================================== !! History : 3.7 ! 2014-05 (G. Madec) original code !!---------------------------------------------------------------------- !!---------------------------------------------------------------------- !! tra_adv_cen : update the tracer trend with the advection trends using a centered or scheme (2nd or 4th order) !! NB: on the vertical it is actually a 4th order COMPACT scheme which is used !!---------------------------------------------------------------------- USE oce, ONLY: tsn ! now ocean temperature and salinity USE dom_oce ! ocean space and time domain USE eosbn2 ! equation of state USE traadv_fct ! acces to routine interp_4th_cpt USE trd_oce ! trends: ocean variables USE trdtra ! trends manager: tracers USE diaptr ! poleward transport diagnostics ! USE in_out_manager ! I/O manager USE iom ! IOM library USE trc_oce ! share passive tracers/Ocean variables USE lib_mpp ! MPP library USE wrk_nemo ! Memory Allocation USE timing ! Timing IMPLICIT NONE PRIVATE PUBLIC tra_adv_cen ! routine called by step.F90 REAL(wp) :: r1_6 = 1._wp / 6._wp ! =1/6 !! * Substitutions # include "domzgr_substitute.h90" # include "vectopt_loop_substitute.h90" !!---------------------------------------------------------------------- !! NEMO/OPA 3.7 , NEMO Consortium (2014) !! $Id: traadv_cen2.F90 5737 2015-09-13 07:42:41Z gm $ !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) !!---------------------------------------------------------------------- CONTAINS SUBROUTINE tra_adv_cen( kt, kit000, cdtype, pun, pvn, pwn, & & ptn, pta, kjpt, kn_cen_h, kn_cen_v ) !!---------------------------------------------------------------------- !! *** ROUTINE tra_adv_cen *** !! !! ** Purpose : Compute the now trend due to the advection of tracers !! and add it to the general trend of passive tracer equations. !! !! ** Method : The advection is evaluated by a 2nd or 4th order scheme !! using now fields (leap-frog scheme). !! !! kn_cen_h = 2 ==>> 2nd order centered scheme on the horizontal !! = 4 ==>> 4th order - - - - !! !! kn_cen_v = 2 ==>> 2nd order centered scheme on the vertical !! = 4 ==>> 4th order COMPACT scheme - - !! !! ** Action : - update pta with the now advective tracer trends !! - send trends to trdtra module for further diagnostcs !!---------------------------------------------------------------------- INTEGER , INTENT(in ) :: kt ! ocean time-step index INTEGER , INTENT(in ) :: kit000 ! first time step index CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) INTEGER , INTENT(in ) :: kjpt ! number of tracers INTEGER , INTENT(in ) :: kn_cen_h ! =2/4 (2nd or 4th order scheme) INTEGER , INTENT(in ) :: kn_cen_v ! =2/4 (2nd or 4th order scheme) REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun, pvn, pwn ! 3 ocean velocity components REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptn ! now tracer fields REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend ! INTEGER :: ji, jj, jk, jn ! dummy loop indices INTEGER :: ierr ! local integer REAL(wp) :: zC2t_u, zC4t_u ! local scalars REAL(wp) :: zC2t_v, zC4t_v ! - - REAL(wp), POINTER, DIMENSION(:,:,:) :: zwx, zwy, zwz, ztu, ztv, ztw !!---------------------------------------------------------------------- ! IF( nn_timing == 1 ) CALL timing_start('tra_adv_cen') ! CALL wrk_alloc( jpi,jpj,jpk, zwx, zwy, zwz, ztu, ztv, ztw ) ! IF( kt == kit000 ) THEN IF(lwp) WRITE(numout,*) IF(lwp) WRITE(numout,*) 'tra_adv_cen : centered advection scheme on ', cdtype, ' order h/v =', kn_cen_h,'/', kn_cen_v IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~ ' ENDIF ! ! ! surface & bottom values IF( lk_vvl ) zwz(:,:, 1 ) = 0._wp ! set to zero one for all zwz(:,:,jpk) = 0._wp ! except at the surface in linear free surface ! DO jn = 1, kjpt !== loop over the tracers ==! ! SELECT CASE( kn_cen_h ) !-- Horizontal fluxes --! ! CASE( 2 ) ! 2nd order centered DO jk = 1, jpkm1 DO jj = 1, jpjm1 DO ji = 1, fs_jpim1 ! vector opt. zwx(ji,jj,jk) = 0.5_wp * pun(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji+1,jj ,jk,jn) ) zwy(ji,jj,jk) = 0.5_wp * pvn(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji ,jj+1,jk,jn) ) END DO END DO END DO ! CASE( 4 ) ! 4th order centered ztu(:,:,jpk) = 0._wp ! Bottom value : flux set to zero ztv(:,:,jpk) = 0._wp DO jk = 1, jpkm1 ! gradient DO jj = 2, jpjm1 ! masked derivative DO ji = fs_2, fs_jpim1 ! vector opt. ztu(ji,jj,jk) = ( ptn(ji+1,jj ,jk,jn) - ptn(ji,jj,jk,jn) ) * umask(ji,jj,jk) ztv(ji,jj,jk) = ( ptn(ji ,jj+1,jk,jn) - ptn(ji,jj,jk,jn) ) * vmask(ji,jj,jk) END DO END DO END DO CALL lbc_lnk( ztu, 'U', -1. ) ; CALL lbc_lnk( ztv, 'V', -1. ) ! Lateral boundary cond. (unchanged sgn) ! DO jk = 1, jpkm1 ! Horizontal advective fluxes DO jj = 2, jpjm1 DO ji = 1, fs_jpim1 ! vector opt. zC2t_u = ptn(ji,jj,jk,jn) + ptn(ji+1,jj ,jk,jn) ! C2 interpolation of T at u- & v-points (x2) zC2t_v = ptn(ji,jj,jk,jn) + ptn(ji ,jj+1,jk,jn) ! ! C4 interpolation of T at u- & v-points (x2) zC4t_u = zC2t_u + r1_6 * ( ztu(ji-1,jj,jk) - ztu(ji+1,jj,jk) ) zC4t_v = zC2t_v + r1_6 * ( ztv(ji,jj-1,jk) - ztv(ji,jj+1,jk) ) ! ! C4 fluxes zwx(ji,jj,jk) = 0.5_wp * pun(ji,jj,jk) * zC4t_u zwy(ji,jj,jk) = 0.5_wp * pvn(ji,jj,jk) * zC4t_v END DO END DO END DO ! CASE DEFAULT CALL ctl_stop( 'traadv_fct: wrong value for nn_fct' ) END SELECT ! ! !== Vertical fluxes ==! ! SELECT CASE( kn_cen_v ) !* interior fluxes ! CASE( 2 ) ! 2nd order centered DO jk = 2, jpk DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 ! vector opt. zwz(ji,jj,jk) = 0.5 * pwn(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji,jj,jk-1,jn) ) * wmask(ji,jj,jk) END DO END DO END DO ! CASE( 4 ) ! 4th order centered CALL interp_4th_cpt( ptn(:,:,:,jn) , ztw ) ! 4th order compact interpolation of T at w-point DO jk = 2, jpkm1 DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 zwz(ji,jj,jk) = pwn(ji,jj,jk) * ztw(ji,jj,jk) * wmask(ji,jj,jk) END DO END DO END DO ! END SELECT ! IF(.NOT.lk_vvl ) THEN !* top value (only in linear free surf. as zwz is multiplied by wmask) IF( ln_isfcav ) THEN ! ice-shelf cavities (top of the ocean) DO jj = 1, jpj DO ji = 1, jpi zwz(ji,jj, mikt(ji,jj) ) = pwn(ji,jj,mikt(ji,jj)) * ptn(ji,jj,mikt(ji,jj),jn) ! linear free surface END DO END DO ELSE ! no ice-shelf cavities (only ocean surface) zwz(:,:,1) = pwn(:,:,1) * ptn(:,:,1,jn) ENDIF ENDIF ! DO jk = 1, jpkm1 !-- Divergence of advective fluxes --! DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 ! vector opt. pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) & & - ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) / ( e1e2t(ji,jj) * fse3t_n(ji,jj,jk) ) END DO END DO END DO ! ! trend diagnostics IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) THEN CALL trd_tra( kt, cdtype, jn, jptra_xad, zwx, pun, ptn(:,:,:,jn) ) CALL trd_tra( kt, cdtype, jn, jptra_yad, zwy, pvn, ptn(:,:,:,jn) ) CALL trd_tra( kt, cdtype, jn, jptra_zad, zwz, pwn, ptn(:,:,:,jn) ) END IF ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) IF( cdtype == 'TRA' .AND. ln_diaptr ) THEN IF( jn == jp_tem ) htr_adv(:) = ptr_sj( zwy(:,:,:) ) IF( jn == jp_sal ) str_adv(:) = ptr_sj( zwy(:,:,:) ) ENDIF ! END DO ! CALL wrk_dealloc( jpi,jpj,jpk, zwx, zwy, zwz, ztu, ztv, ztw ) ! IF( nn_timing == 1 ) CALL timing_stop('tra_adv_cen') ! END SUBROUTINE tra_adv_cen !!====================================================================== END MODULE traadv_cen