MODULE dynadv_cen2 !!====================================================================== !! *** MODULE dynadv *** !! Ocean dynamics: Update the momentum trend with the flux form advection !! using a 2nd order centred scheme !!====================================================================== !! History : 2.0 ! 2006-08 (G. Madec, S. Theetten) Original code !! 3.2 ! 2009-07 (R. Benshila) Suppression of rigid-lid option !!---------------------------------------------------------------------- !!---------------------------------------------------------------------- !! dyn_adv_cen2 : flux form momentum advection (ln_dynadv_cen2=T) !! trends using a 2nd order centred scheme !!---------------------------------------------------------------------- USE oce ! ocean dynamics and tracers USE dom_oce ! ocean space and time domain USE trd_oce ! trends: ocean variables USE trddyn ! trend manager: dynamics ! USE in_out_manager ! I/O manager USE lib_mpp ! MPP library USE prtctl ! Print control USE wrk_nemo ! Memory Allocation USE timing ! Timing IMPLICIT NONE PRIVATE PUBLIC dyn_adv_cen2 ! routine called by step.F90 !! * Substitutions # include "domzgr_substitute.h90" # include "vectopt_loop_substitute.h90" !!---------------------------------------------------------------------- !! NEMO/OPA 4.0 , NEMO Consortium (2011) !! $Id$ !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) !!---------------------------------------------------------------------- CONTAINS SUBROUTINE dyn_adv_cen2( kt ) !!---------------------------------------------------------------------- !! *** ROUTINE dyn_adv_cen2 *** !! !! ** Purpose : Compute the now momentum advection trend in flux form !! and the general trend of the momentum equation. !! !! ** Method : Trend evaluated using now fields (centered in time) !! !! ** Action : (ua,va) updated with the now vorticity term trend !!---------------------------------------------------------------------- INTEGER, INTENT( in ) :: kt ! ocean time-step index ! INTEGER :: ji, jj, jk ! dummy loop indices REAL(wp) :: zbu, zbv ! local scalars REAL(wp), POINTER, DIMENSION(:,:,:) :: zfu_t, zfv_t, zfu_f, zfv_f, zfu_uw, zfv_vw, zfw REAL(wp), POINTER, DIMENSION(:,:,:) :: zfu, zfv !!---------------------------------------------------------------------- ! IF( nn_timing == 1 ) CALL timing_start('dyn_adv_cen2') ! CALL wrk_alloc( jpi, jpj, jpk, zfu_t, zfv_t, zfu_f, zfv_f, zfu_uw, zfv_vw, zfu, zfv, zfw ) ! IF( kt == nit000 .AND. lwp ) THEN WRITE(numout,*) WRITE(numout,*) 'dyn_adv_cen2 : 2nd order flux form momentum advection' WRITE(numout,*) '~~~~~~~~~~~~' ENDIF ! IF( l_trddyn ) THEN ! Save ua and va trends zfu_uw(:,:,:) = ua(:,:,:) zfv_vw(:,:,:) = va(:,:,:) ENDIF ! ! ====================== ! ! ! Horizontal advection ! DO jk = 1, jpkm1 ! ====================== ! ! ! horizontal volume fluxes zfu(:,:,jk) = 0.25 * e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) zfv(:,:,jk) = 0.25 * e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) ! DO jj = 1, jpjm1 ! horizontal momentum fluxes at T- and F-point DO ji = 1, fs_jpim1 ! vector opt. zfu_t(ji+1,jj ,jk) = ( zfu(ji,jj,jk) + zfu(ji+1,jj ,jk) ) * ( un(ji,jj,jk) + un(ji+1,jj ,jk) ) zfv_f(ji ,jj ,jk) = ( zfv(ji,jj,jk) + zfv(ji+1,jj ,jk) ) * ( un(ji,jj,jk) + un(ji ,jj+1,jk) ) zfu_f(ji ,jj ,jk) = ( zfu(ji,jj,jk) + zfu(ji ,jj+1,jk) ) * ( vn(ji,jj,jk) + vn(ji+1,jj ,jk) ) zfv_t(ji ,jj+1,jk) = ( zfv(ji,jj,jk) + zfv(ji ,jj+1,jk) ) * ( vn(ji,jj,jk) + vn(ji ,jj+1,jk) ) END DO END DO DO jj = 2, jpjm1 ! divergence of horizontal momentum fluxes DO ji = fs_2, fs_jpim1 ! vector opt. zbu = e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) zbv = e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) ! ua(ji,jj,jk) = ua(ji,jj,jk) - ( zfu_t(ji+1,jj ,jk) - zfu_t(ji ,jj ,jk) & & + zfv_f(ji ,jj ,jk) - zfv_f(ji ,jj-1,jk) ) / zbu va(ji,jj,jk) = va(ji,jj,jk) - ( zfu_f(ji ,jj ,jk) - zfu_f(ji-1,jj ,jk) & & + zfv_t(ji ,jj+1,jk) - zfv_t(ji ,jj ,jk) ) / zbv END DO END DO END DO ! IF( l_trddyn ) THEN ! save the horizontal advection trend for diagnostic zfu_uw(:,:,:) = ua(:,:,:) - zfu_uw(:,:,:) zfv_vw(:,:,:) = va(:,:,:) - zfv_vw(:,:,:) CALL trd_dyn( zfu_uw, zfv_vw, jpdyn_keg, kt ) zfu_t(:,:,:) = ua(:,:,:) zfv_t(:,:,:) = va(:,:,:) ENDIF ! ! ! ==================== ! ! ! Vertical advection ! DO jk = 1, jpkm1 ! ==================== ! ! ! Vertical volume fluxesÊ zfw(:,:,jk) = 0.25 * e1t(:,:) * e2t(:,:) * wn(:,:,jk) ! IF( jk == 1 ) THEN ! surface/bottom advective fluxes zfu_uw(:,:,jpk) = 0.e0 ! Bottom value : flux set to zero zfv_vw(:,:,jpk) = 0.e0 ! ! Surface value : IF( lk_vvl ) THEN ! variable volume : flux set to zero zfu_uw(:,:, 1 ) = 0.e0 zfv_vw(:,:, 1 ) = 0.e0 ELSE ! constant volume : advection through the surface DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 zfu_uw(ji,jj, 1 ) = 2.e0 * ( zfw(ji,jj,1) + zfw(ji+1,jj ,1) ) * un(ji,jj,1) zfv_vw(ji,jj, 1 ) = 2.e0 * ( zfw(ji,jj,1) + zfw(ji ,jj+1,1) ) * vn(ji,jj,1) END DO END DO ENDIF ELSE ! interior fluxes DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 ! vector opt. zfu_uw(ji,jj,jk) = ( zfw(ji,jj,jk)+ zfw(ji+1,jj ,jk) ) * ( un(ji,jj,jk) + un(ji,jj,jk-1) ) zfv_vw(ji,jj,jk) = ( zfw(ji,jj,jk)+ zfw(ji ,jj+1,jk) ) * ( vn(ji,jj,jk) + vn(ji,jj,jk-1) ) END DO END DO ENDIF END DO DO jk = 1, jpkm1 ! divergence of vertical momentum flux divergence DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 ! vector opt. ua(ji,jj,jk) = ua(ji,jj,jk) - ( zfu_uw(ji,jj,jk) - zfu_uw(ji,jj,jk+1) ) & & / ( e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) ) va(ji,jj,jk) = va(ji,jj,jk) - ( zfv_vw(ji,jj,jk) - zfv_vw(ji,jj,jk+1) ) & & / ( e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) ) END DO END DO END DO ! IF( l_trddyn ) THEN ! save the vertical advection trend for diagnostic zfu_t(:,:,:) = ua(:,:,:) - zfu_t(:,:,:) zfv_t(:,:,:) = va(:,:,:) - zfv_t(:,:,:) CALL trd_dyn( zfu_t, zfv_t, jpdyn_zad, kt ) ENDIF ! ! Control print IF(ln_ctl) CALL prt_ctl( tab3d_1=ua, clinfo1=' cen2 adv - Ua: ', mask1=umask, & & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) ! CALL wrk_dealloc( jpi, jpj, jpk, zfu_t, zfv_t, zfu_f, zfv_f, zfu_uw, zfv_vw, zfu, zfv, zfw ) ! IF( nn_timing == 1 ) CALL timing_stop('dyn_adv_cen2') ! END SUBROUTINE dyn_adv_cen2 !!============================================================================== END MODULE dynadv_cen2