MODULE traadv_eiv !!====================================================================== !! *** MODULE traadv_eiv *** !! Ocean active tracers: advection trend - eddy induced velocity !!====================================================================== !! History : 9.0 ! 05-11 (G. Madec) Original code, from traldf and zdf _iso !!---------------------------------------------------------------------- #if defined key_traldf_eiv || defined key_esopa !!---------------------------------------------------------------------- !! 'key_traldf_eiv' rotation of the lateral mixing tensor !!---------------------------------------------------------------------- !!---------------------------------------------------------------------- !! tra_ldf_iso : update the tracer trend with the horizontal component !! of iso neutral laplacian operator or horizontal !! laplacian operator in s-coordinate !!---------------------------------------------------------------------- USE oce ! ocean dynamics and tracers variables USE dom_oce ! ocean space and time domain variables USE ldftra_oce ! ocean active tracers: lateral physics USE ldfslp ! iso-neutral slopes USE in_out_manager ! I/O manager USE iom # if defined key_diaeiv USE phycst ! physical constants USE lbclnk ! ocean lateral boundary conditions (or mpp link) USE diaar5, ONLY : lk_diaar5 # endif IMPLICIT NONE PRIVATE PUBLIC tra_adv_eiv ! routine called by step.F90 !! * Substitutions # include "domzgr_substitute.h90" # include "ldftra_substitute.h90" # include "ldfeiv_substitute.h90" # include "vectopt_loop_substitute.h90" !!---------------------------------------------------------------------- !! OPA 9.0 , LOCEAN-IPSL (2006) !! $Id$ !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) !!---------------------------------------------------------------------- CONTAINS SUBROUTINE tra_adv_eiv( kt, pun, pvn, pwn ) !!---------------------------------------------------------------------- !! *** ROUTINE tra_adv_eiv *** !! !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive !! trend and add it to the general trend of tracer equation. !! !! ** Method : The eddy induced advection is computed from the slope !! of iso-neutral surfaces computed in routine ldf_slp as follows: !! zu_eiv = 1/(e2u e3u) dk[ aeiu e2u mi(wslpi) ] !! zv_eiv = 1/(e1v e3v) dk[ aeiv e1v mj(wslpj) !! zw_eiv = -1/(e1t e2t) { di[ aeiu e2u mi(wslpi) ] !! + dj[ aeiv e1v mj(wslpj) ] } !! add the eiv component to the model velocity: !! p.n = p.n + z._eiv !! !! ** Action : - add to p.n the eiv component !!---------------------------------------------------------------------- INTEGER , INTENT(in ) :: kt ! ocean time-step index REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pun ! in : 3 ocean velocity components REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pvn ! out: 3 ocean velocity components REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pwn ! increased by the eiv !! INTEGER :: ji, jj, jk ! dummy loop indices REAL(wp) :: zuwk, zuwk1, zuwi, zuwi1 ! temporary scalar REAL(wp) :: zvwk, zvwk1, zvwj, zvwj1 ! " " REAL(wp) :: zu_eiv, zv_eiv, zw_eiv ! " " # if defined key_diaeiv REAL(wp) :: zztmp ! " " REAL(wp), DIMENSION(jpi,jpj) :: z2d ! " " # endif !!---------------------------------------------------------------------- IF( kt == nit000 ) THEN IF(lwp) WRITE(numout,*) IF(lwp) WRITE(numout,*) 'tra_adv_eiv : eddy induced advection :' IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ add to velocity fields the eiv component' # if defined key_diaeiv u_eiv(:,:,:) = 0.e0 v_eiv(:,:,:) = 0.e0 w_eiv(:,:,:) = 0.e0 # endif ENDIF ! ! ================= DO jk = 1, jpkm1 ! Horizontal slab ! ! ================= DO jj = 1, jpjm1 DO ji = 1, fs_jpim1 ! vector opt. zuwk = ( wslpi(ji,jj,jk ) + wslpi(ji+1,jj,jk ) ) * fsaeiu(ji,jj,jk ) * umask(ji,jj,jk ) zuwk1= ( wslpi(ji,jj,jk+1) + wslpi(ji+1,jj,jk+1) ) * fsaeiu(ji,jj,jk+1) * umask(ji,jj,jk+1) zvwk = ( wslpj(ji,jj,jk ) + wslpj(ji,jj+1,jk ) ) * fsaeiv(ji,jj,jk ) * vmask(ji,jj,jk ) zvwk1= ( wslpj(ji,jj,jk+1) + wslpj(ji,jj+1,jk+1) ) * fsaeiv(ji,jj,jk+1) * vmask(ji,jj,jk+1) zu_eiv = 0.5 * umask(ji,jj,jk) * ( zuwk - zuwk1 ) / fse3u(ji,jj,jk) zv_eiv = 0.5 * vmask(ji,jj,jk) * ( zvwk - zvwk1 ) / fse3v(ji,jj,jk) pun(ji,jj,jk) = pun(ji,jj,jk) + zu_eiv pvn(ji,jj,jk) = pvn(ji,jj,jk) + zv_eiv # if defined key_diaeiv u_eiv(ji,jj,jk) = zu_eiv v_eiv(ji,jj,jk) = zv_eiv # endif END DO END DO IF( jk >=2 ) THEN ! jk=1 zw_eiv=0, not computed DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 ! vector opt. # if defined key_traldf_c2d || defined key_traldf_c3d zuwi = ( wslpi(ji,jj,jk)+wslpi(ji-1,jj,jk) ) * fsaeiu(ji-1,jj,jk) * e2u(ji-1,jj) * umask(ji-1,jj,jk) zuwi1 = ( wslpi(ji,jj,jk)+wslpi(ji+1,jj,jk) ) * fsaeiu(ji ,jj,jk) * e2u(ji ,jj) * umask(ji ,jj,jk) zvwj = ( wslpj(ji,jj,jk)+wslpj(ji,jj-1,jk) ) * fsaeiv(ji,jj-1,jk) * e1v(ji,jj-1) * vmask(ji,jj-1,jk) zvwj1 = ( wslpj(ji,jj,jk)+wslpj(ji,jj+1,jk) ) * fsaeiv(ji,jj ,jk) * e1v(ji ,jj) * vmask(ji ,jj,jk) zw_eiv = - 0.5 * tmask(ji,jj,jk) * ( zuwi1 - zuwi + zvwj1 - zvwj ) / ( e1t(ji,jj)*e2t(ji,jj) ) # else zuwi = ( wslpi(ji,jj,jk) + wslpi(ji-1,jj,jk) ) * e2u(ji-1,jj) * umask(ji-1,jj,jk) zuwi1 = ( wslpi(ji,jj,jk) + wslpi(ji+1,jj,jk) ) * e2u(ji ,jj) * umask(ji ,jj,jk) zvwj = ( wslpj(ji,jj,jk) + wslpj(ji,jj-1,jk) ) * e1v(ji,jj-1) * vmask(ji,jj-1,jk) zvwj1 = ( wslpj(ji,jj,jk) + wslpj(ji,jj+1,jk) ) * e1v(ji ,jj) * vmask(ji ,jj,jk) zw_eiv = - 0.5 * tmask(ji,jj,jk) * fsaeiw(ji,jj,jk) * ( zuwi1 - zuwi + zvwj1 - zvwj ) & & / ( e1t(ji,jj)*e2t(ji,jj) ) # endif pwn(ji,jj,jk) = pwn(ji,jj,jk) + zw_eiv # if defined key_diaeiv w_eiv(ji,jj,jk) = zw_eiv # endif END DO END DO ENDIF ! ! ================= END DO ! End of slab ! ! ================= # if defined key_diaeiv CALL iom_put( "uoce_eiv", u_eiv ) ! i-eiv current CALL iom_put( "voce_eiv", v_eiv ) ! j-eiv current CALL iom_put( "woce_eiv", w_eiv ) ! vert. eiv current IF( lk_diaar5 ) THEN zztmp = 0.5 * rau0 * rcp z2d(:,:) = 0.e0 DO jk = 1, jpkm1 DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 ! vector opt. z2d(ji,jj) = z2d(ji,jj) + zztmp * u_eiv(ji,jj,jk) * (tn(ji,jj,jk)+tn(ji+1,jj,jk)) * e1u(ji,jj) * fse3u(ji,jj,jk) END DO END DO END DO CALL lbc_lnk( z2d, 'U', -1. ) CALL iom_put( "ueiv_heattr", z2d ) ! heat transport in i-direction z2d(:,:) = 0.e0 DO jk = 1, jpkm1 DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 ! vector opt. z2d(ji,jj) = z2d(ji,jj) + zztmp * v_eiv(ji,jj,jk) * (tn(ji,jj,jk)+tn(ji,jj+1,jk)) * e2v(ji,jj) * fse3v(ji,jj,jk) END DO END DO END DO CALL lbc_lnk( z2d, 'V', -1. ) CALL iom_put( "veiv_heattr", z2d ) ! heat transport in i-direction ENDIF # endif ! END SUBROUTINE tra_adv_eiv #else !!---------------------------------------------------------------------- !! Dummy module : No rotation of the lateral mixing tensor !!---------------------------------------------------------------------- CONTAINS SUBROUTINE tra_adv_eiv( kt, pun, pvn, pwn ) ! Empty routine REAL, DIMENSION(:,:,:) :: pun, pvn, pwn WRITE(*,*) 'tra_adv_eiv: You should not have seen this print! error?', kt, pun(1,1,1), pvn(1,1,1), pwn(1,1,1) END SUBROUTINE tra_adv_eiv #endif !!============================================================================== END MODULE traadv_eiv