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) 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 IMPLICIT NONE PRIVATE PUBLIC dyn_adv_cen2 ! routine called by step.F90 !! * Substitutions # include "vectopt_loop_substitute.h90" !!---------------------------------------------------------------------- !! NEMO/OCE 4.0 , NEMO Consortium (2017) !! $Id$ !! 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), DIMENSION(jpi,jpj,jpk) :: zfu_t, zfu_f, zfu_uw, zfu REAL(wp), DIMENSION(jpi,jpj,jpk) :: zfv_t, zfv_f, zfv_vw, 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 ! trends: store the input trends zfu_uw(:,:,:) = ua(:,:,:) zfv_vw(:,:,:) = va(:,:,:) ENDIF ! ! !== Horizontal advection ==! ! DO jk = 1, jpkm1 ! horizontal transport zfu(:,:,jk) = 0.25_wp * e2u(:,:) * e3u_n(:,:,jk) * un(:,:,jk) zfv(:,:,jk) = 0.25_wp * e1v(:,:) * e3v_n(:,:,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. 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) ) * r1_e1e2u(ji,jj) / e3u_n(ji,jj,jk) 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) ) * r1_e1e2v(ji,jj) / e3v_n(ji,jj,jk) END DO END DO END DO ! IF( l_trddyn ) THEN ! trends: send trend to trddyn 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 jj = 2, jpjm1 ! surface/bottom advective fluxes set to zero DO ji = fs_2, fs_jpim1 zfu_uw(ji,jj,jpk) = 0._wp ; zfv_vw(ji,jj,jpk) = 0._wp zfu_uw(ji,jj, 1 ) = 0._wp ; zfv_vw(ji,jj, 1 ) = 0._wp END DO END DO IF( ln_linssh ) THEN ! linear free surface: advection through the surface DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 zfu_uw(ji,jj,1) = 0.5_wp * ( e1e2t(ji,jj) * wn(ji,jj,1) + e1e2t(ji+1,jj) * wn(ji+1,jj,1) ) * un(ji,jj,1) zfv_vw(ji,jj,1) = 0.5_wp * ( e1e2t(ji,jj) * wn(ji,jj,1) + e1e2t(ji,jj+1) * wn(ji,jj+1,1) ) * vn(ji,jj,1) END DO END DO ENDIF DO jk = 2, jpkm1 ! interior advective fluxes DO jj = 2, jpj ! 1/4 * Vertical transport DO ji = 2, jpi zfw(ji,jj,jk) = 0.25_wp * e1e2t(ji,jj) * wn(ji,jj,jk) END DO END DO 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 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) ) * r1_e1e2u(ji,jj) / e3u_n(ji,jj,jk) va(ji,jj,jk) = va(ji,jj,jk) - ( zfv_vw(ji,jj,jk) - zfv_vw(ji,jj,jk+1) ) * r1_e1e2v(ji,jj) / e3v_n(ji,jj,jk) END DO END DO END DO ! IF( l_trddyn ) THEN ! trends: send trend to trddyn 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' ) ! END SUBROUTINE dyn_adv_cen2 !!============================================================================== END MODULE dynadv_cen2