MODULE dynnxt !!====================================================================== !! *** MODULE dynnxt *** !! Ocean dynamics: time stepping !!====================================================================== !!---------------------------------------------------------------------- !! dyn_nxt : update the horizontal velocity from the momentum trend !!---------------------------------------------------------------------- !! * Modules used USE oce ! ocean dynamics and tracers USE dom_oce ! ocean space and time domain USE in_out_manager ! I/O manager USE obc_oce ! ocean open boundary conditions USE obcdyn ! open boundary condition for momentum (obc_dyn routine) USE obcdyn_bt ! 2D open boundary condition for momentum (obc_dyn_bt routine) USE obcvol ! ocean open boundary condition (obc_vol routines) USE dynspg_oce ! type of surface pressure gradient USE lbclnk ! lateral boundary condition (or mpp link) USE prtctl ! Print control USE agrif_opa_update USE agrif_opa_interp USE domvvl ! variable volume IMPLICIT NONE PRIVATE !! * Accessibility PUBLIC dyn_nxt ! routine called by step.F90 !! * Substitutions # include "domzgr_substitute.h90" !!---------------------------------------------------------------------- CONTAINS SUBROUTINE dyn_nxt ( kt ) !!---------------------------------------------------------------------- !! *** ROUTINE dyn_nxt *** !! !! ** Purpose : Compute the after horizontal velocity from the !! momentum trend. !! !! ** Method : Apply lateral boundary conditions on the trends (ua,va) !! through calls to routine lbc_lnk. !! After velocity is compute using a leap-frog scheme environment: !! (ua,va) = (ub,vb) + 2 rdt (ua,va) !! Note that if lk_dynspg_flt=T, the time stepping has already been !! performed in dynspg module !! Time filter applied on now horizontal velocity to avoid the !! divergence of two consecutive time-steps and swap of dynamics !! arrays to start the next time step: !! (ub,vb) = (un,vn) + atfp [ (ub,vb) + (ua,va) - 2 (un,vn) ] !! (un,vn) = (ua,va) !! !! ** Action : - Update ub,vb arrays, the before horizontal velocity !! - Update un,vn arrays, the now horizontal velocity !! !! History : !! ! 87-02 (P. Andrich, D. L Hostis) Original code !! ! 90-10 (C. Levy, G. Madec) !! ! 93-03 (M. Guyon) symetrical conditions !! ! 97-02 (G. Madec & M. Imbard) opa, release 8.0 !! ! 97-04 (A. Weaver) Euler forward step !! ! 97-06 (G. Madec) lateral boudary cond., lbc routine !! 8.5 ! 02-08 (G. Madec) F90: Free form and module !! ! 02-10 (C. Talandier, A-M. Treguier) Open boundary cond. !! 9.0 ! 05-11 (V. Garnier) Surface pressure gradient organization !!---------------------------------------------------------------------- !! * Arguments INTEGER, INTENT( in ) :: kt ! ocean time-step index !! * Local declarations INTEGER :: ji, jj, jk ! dummy loop indices REAL(wp) :: z2dt ! temporary scalar !! Variable volume REAL(wp) :: zsshun, zsshvn ! temporary scalars REAL(wp), DIMENSION(jpi,jpj) :: & zsshub, zsshua, zsshvb, zsshva ! 2D workspace REAL(wp), DIMENSION(jpi,jpj,jpk) :: & zfse3ub, zfse3un, zfse3ua, & ! 3D workspace zfse3vb, zfse3vn, zfse3va !!---------------------------------------------------------------------- !! OPA 9.0 , LOCEAN-IPSL (2005) !! $Header$ !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt !!---------------------------------------------------------------------- IF( kt == nit000 ) THEN IF(lwp) WRITE(numout,*) IF(lwp) WRITE(numout,*) 'dyn_nxt : time stepping' IF(lwp) WRITE(numout,*) '~~~~~~~' ENDIF ! Local constant initialization z2dt = 2. * rdt IF( neuler == 0 .AND. kt == nit000 ) z2dt = rdt !! Explicit physics with thickness weighted updates IF( lk_vvl .AND. .NOT. lk_dynspg_flt ) THEN ! Sea surface elevation time stepping ! ----------------------------------- ! DO jj = 1, jpjm1 DO ji = 1,jpim1 ! Sea Surface Height at u-point before zsshub(ji,jj) = 0.5 * umask(ji,jj,1) / ( e1u(ji,jj) * e2u(ji,jj) ) & & * ( e1t(ji ,jj ) * e2t(ji ,jj ) * sshbb(ji ,jj ) & & + e1t(ji+1,jj ) * e2t(ji+1,jj ) * sshbb(ji+1,jj ) ) ! Sea Surface Height at v-point before zsshvb(ji,jj) = 0.5 * vmask(ji,jj,1) / ( e1v(ji,jj) * e2v(ji,jj) ) & & * ( e1t(ji ,jj ) * e2t(ji ,jj ) * sshbb(ji ,jj ) & & + e1t(ji ,jj+1) * e2t(ji ,jj+1) * sshbb(ji ,jj+1) ) ! Sea Surface Height at u-point after zsshua(ji,jj) = 0.5 * umask(ji,jj,1) / ( e1u(ji,jj) * e2u(ji,jj) ) & & * ( e1t(ji ,jj ) * e2t(ji ,jj ) * ssha(ji ,jj ) & & + e1t(ji+1,jj ) * e2t(ji+1,jj ) * ssha(ji+1,jj ) ) ! Sea Surface Height at v-point after zsshva(ji,jj) = 0.5 * vmask(ji,jj,1) / ( e1v(ji,jj) * e2v(ji,jj) ) & & * ( e1t(ji ,jj ) * e2t(ji ,jj ) * ssha(ji ,jj ) & & + e1t(ji ,jj+1) * e2t(ji ,jj+1) * ssha(ji ,jj+1) ) END DO END DO ! Boundaries conditions CALL lbc_lnk( zsshua, 'U', 1. ) ; CALL lbc_lnk( zsshva, 'V', 1. ) CALL lbc_lnk( zsshub, 'U', 1. ) ; CALL lbc_lnk( zsshvb, 'V', 1. ) ! Scale factors at before and after time step ! ------------------------------------------- DO jk = 1, jpkm1 zfse3ub(:,:,jk) = fsve3u(:,:,jk) * ( 1 + zsshub(:,:) * muu(:,:,jk) ) zfse3ua(:,:,jk) = fsve3u(:,:,jk) * ( 1 + zsshua(:,:) * muu(:,:,jk) ) zfse3vb(:,:,jk) = fsve3v(:,:,jk) * ( 1 + zsshvb(:,:) * muv(:,:,jk) ) zfse3va(:,:,jk) = fsve3v(:,:,jk) * ( 1 + zsshva(:,:) * muv(:,:,jk) ) END DO ! Asselin filtered scale factor at now time step ! ---------------------------------------------- IF( (neuler == 0 .AND. kt == nit000) .OR. lk_dynspg_ts ) THEN zfse3un(:,:,:) = fse3u(:,:,:) zfse3vn(:,:,:) = fse3v(:,:,:) ELSE DO jk = 1, jpkm1 DO jj = 1, jpj DO ji = 1, jpi zsshun = atfp * ( zsshub(ji,jj) + zsshua(ji,jj) ) + atfp1 * sshu(ji,jj) zsshvn = atfp * ( zsshvb(ji,jj) + zsshva(ji,jj) ) + atfp1 * sshv(ji,jj) zfse3un(ji,jj,jk) = fsve3u(ji,jj,jk) * ( 1 + zsshun * muu(ji,jj,jk) ) zfse3vn(ji,jj,jk) = fsve3v(ji,jj,jk) * ( 1 + zsshvn * muv(ji,jj,jk) ) END DO END DO END DO ENDIF ! Thickness weighting ! ------------------- ua(:,:,1:jpkm1) = ua(:,:,1:jpkm1) * fse3u (:,:,1:jpkm1) va(:,:,1:jpkm1) = va(:,:,1:jpkm1) * fse3v (:,:,1:jpkm1) un(:,:,1:jpkm1) = un(:,:,1:jpkm1) * fse3u (:,:,1:jpkm1) vn(:,:,1:jpkm1) = vn(:,:,1:jpkm1) * fse3v (:,:,1:jpkm1) ub(:,:,1:jpkm1) = ub(:,:,1:jpkm1) * zfse3ub(:,:,1:jpkm1) vb(:,:,1:jpkm1) = vb(:,:,1:jpkm1) * zfse3vb(:,:,1:jpkm1) ENDIF ! Lateral boundary conditions on ( ua, va ) CALL lbc_lnk( ua, 'U', -1. ) CALL lbc_lnk( va, 'V', -1. ) ! ! =============== DO jk = 1, jpkm1 ! Horizontal slab ! ! =============== ! Next velocity ! ------------- #if defined key_dynspg_flt ! Leap-frog time stepping already done in dynspg.F routine #else DO jj = 1, jpj ! caution: don't use (:,:) for this loop DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking ! Leap-frog time stepping ua(ji,jj,jk) = ( ub(ji,jj,jk) + z2dt * ua(ji,jj,jk) ) * umask(ji,jj,jk) va(ji,jj,jk) = ( vb(ji,jj,jk) + z2dt * va(ji,jj,jk) ) * vmask(ji,jj,jk) END DO END DO # if defined key_obc ! ! =============== END DO ! End of slab ! ! =============== ! Update (ua,va) along open boundaries (only in the rigid-lid case) CALL obc_dyn( kt ) IF ( lk_dynspg_exp .OR. lk_dynspg_ts ) THEN !Flather boundary condition : ! - Update sea surface height on each open boundary ! sshn (= after ssh) for explicit case ! sshn_b (= after ssha_b) for time-splitting case ! - Correct the barotropic velocities CALL obc_dyn_bt( kt ) !Boundary conditions on sshn ( after ssh) CALL lbc_lnk( sshn, 'T', 1. ) IF(ln_ctl) THEN ! print sum trends (used for debugging) CALL prt_ctl(tab2d_1=sshn, clinfo1=' ssh : ', mask1=tmask) ENDIF IF ( ln_vol_cst ) CALL obc_vol( kt ) ENDIF ! ! =============== DO jk = 1, jpkm1 ! Horizontal slab ! ! =============== # endif # if defined key_agrif ! ! =============== END DO ! End of slab ! ! =============== ! Update (ua,va) along open boundaries (only in the rigid-lid case) CALL Agrif_dyn( kt ) ! ! =============== DO jk = 1, jpkm1 ! Horizontal slab ! ! =============== # endif #endif ! Time filter and swap of dynamics arrays ! ------------------------------------------ IF( neuler == 0 .AND. kt == nit000 ) THEN IF( (lk_vvl .AND. .NOT. lk_dynspg_flt) ) THEN ! Varying levels ! caution: don't use (:,:) for this loop ! it causes optimization problems on NEC in auto-tasking DO jj = 1, jpj DO ji = 1, jpi zsshun = umask(ji,jj,jk) / fse3u(ji,jj,jk) zsshvn = vmask(ji,jj,jk) / fse3v(ji,jj,jk) ub(ji,jj,jk) = un(ji,jj,jk) * zsshun * umask(ji,jj,jk) vb(ji,jj,jk) = vn(ji,jj,jk) * zsshvn * vmask(ji,jj,jk) zsshun = umask(ji,jj,jk) / zfse3ua(ji,jj,jk) zsshvn = vmask(ji,jj,jk) / zfse3va(ji,jj,jk) un(ji,jj,jk) = ua(ji,jj,jk) * zsshun * umask(ji,jj,jk) vn(ji,jj,jk) = va(ji,jj,jk) * zsshvn * vmask(ji,jj,jk) END DO END DO ELSE ! Fixed levels DO jj = 1, jpj DO ji = 1, jpi ! Euler (forward) time stepping ub(ji,jj,jk) = un(ji,jj,jk) vb(ji,jj,jk) = vn(ji,jj,jk) un(ji,jj,jk) = ua(ji,jj,jk) vn(ji,jj,jk) = va(ji,jj,jk) END DO END DO ENDIF ELSE IF( (lk_vvl .AND. .NOT. lk_dynspg_flt) ) THEN ! Varying levels ! caution: don't use (:,:) for this loop ! it causes optimization problems on NEC in auto-tasking DO jj = 1, jpj DO ji = 1, jpi zsshun = umask(ji,jj,jk) / zfse3un(ji,jj,jk) zsshvn = vmask(ji,jj,jk) / zfse3vn(ji,jj,jk) ub(ji,jj,jk) = ( atfp * ( ub(ji,jj,jk) + ua(ji,jj,jk) ) & & + atfp1 * un(ji,jj,jk) ) * zsshun vb(ji,jj,jk) = ( atfp * ( vb(ji,jj,jk) + va(ji,jj,jk) ) & & + atfp1 * vn(ji,jj,jk) ) * zsshvn zsshun = umask(ji,jj,jk) / zfse3ua(ji,jj,jk) zsshvn = vmask(ji,jj,jk) / zfse3va(ji,jj,jk) un(ji,jj,jk) = ua(ji,jj,jk) * zsshun vn(ji,jj,jk) = va(ji,jj,jk) * zsshvn END DO END DO ELSE ! Fixed levels DO jj = 1, jpj DO ji = 1, jpi ! Leap-frog time stepping ub(ji,jj,jk) = atfp * ( ub(ji,jj,jk) + ua(ji,jj,jk) ) + atfp1 * un(ji,jj,jk) vb(ji,jj,jk) = atfp * ( vb(ji,jj,jk) + va(ji,jj,jk) ) + atfp1 * vn(ji,jj,jk) un(ji,jj,jk) = ua(ji,jj,jk) vn(ji,jj,jk) = va(ji,jj,jk) END DO END DO ENDIF ENDIF ! ! =============== END DO ! End of slab ! ! =============== IF(ln_ctl) THEN CALL prt_ctl(tab3d_1=un, clinfo1=' nxt - Un: ', mask1=umask, & & tab3d_2=vn, clinfo2=' Vn: ', mask2=vmask) ENDIF #if defined key_agrif IF (.NOT.Agrif_Root()) CALL Agrif_Update_Dyn( kt ) #endif END SUBROUTINE dyn_nxt !!====================================================================== END MODULE dynnxt