MODULE ldfslp !!====================================================================== !! *** MODULE ldfslp *** !! Ocean physics: slopes of neutral surfaces !!====================================================================== #if defined key_ldfslp || defined key_esopa !!---------------------------------------------------------------------- !! 'key_ldfslp' Rotation of lateral mixing tensor !!---------------------------------------------------------------------- !! ldf_slp : compute the slopes of neutral surface !! ldf_slp_mxl : compute the slopes of iso-neutral surface !! ldf_slp_init : initialization of the slopes computation !!---------------------------------------------------------------------- !! * Modules used USE oce ! ocean dynamics and tracers USE dom_oce ! ocean space and time domain USE ldftra_oce USE phycst ! physical constants USE zdfmxl ! mixed layer depth USE lbclnk ! ocean lateral boundary conditions (or mpp link) USE in_out_manager ! I/O manager USE prtctl ! Print control IMPLICIT NONE PRIVATE !! * Accessibility PUBLIC ldf_slp ! routine called by step.F90 !! * Share module variables LOGICAL , PUBLIC, PARAMETER :: lk_ldfslp = .TRUE. !: slopes flag REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: & !: uslp, wslpi, & !: i_slope at U- and W-points vslp, wslpj !: j-slope at V- and W-points !! * Module variables REAL(wp), DIMENSION(jpi,jpj,jpk) :: & omlmask ! mask of the surface mixed layer at T-pt REAL(wp), DIMENSION(jpi,jpj) :: & uslpml, wslpiml, & ! i_slope at U- and W-points just below ! ! the surface mixed layer vslpml, wslpjml ! j_slope at V- and W-points just below ! ! the surface mixed layer !! * Substitutions # include "domzgr_substitute.h90" # include "vectopt_loop_substitute.h90" !!---------------------------------------------------------------------- !! OPA 9.0 , LOCEAN-IPSL (2005) !! $Id$ !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) !!---------------------------------------------------------------------- CONTAINS SUBROUTINE ldf_slp( kt, prd, pn2 ) !!---------------------------------------------------------------------- !! *** ROUTINE ldf_slp *** !! !! ** Purpose : Compute the slopes of neutral surface (slope of iso- !! pycnal surfaces referenced locally) ('key_traldfiso'). !! !! ** Method : The slope in the i-direction is computed at U- and !! W-points (uslp, wslpi) and the slope in the j-direction is !! computed at V- and W-points (vslp, wslpj). !! They are bounded by 1/100 over the whole ocean, and within the !! surface layer they are bounded by the distance to the surface !! ( slope<= depth/l where l is the length scale of horizontal !! diffusion (here, aht=2000m2/s ==> l=20km with a typical velocity !! of 10cm/s) !! A horizontal shapiro filter is applied to the slopes !! ln_sco=T, s-coordinate, add to the previously computed slopes !! the slope of the model level surface. !! macro-tasked on horizontal slab (jk-loop) (2, jpk-1) !! [slopes already set to zero at level 1, and to zero or the ocean !! bottom slope (ln_sco=T) at level jpk in inildf] !! !! ** Action : - uslp, wslpi, and vslp, wslpj, the i- and j-slopes !! of now neutral surfaces at u-, w- and v- w-points, resp. !! !! History : !! 7.0 ! 94-12 (G. Madec, M. Imbard) Original code !! 8.0 ! 97-06 (G. Madec) optimization, lbc !! 8.1 ! 99-10 (A. Jouzeau) NEW profile !! 8.5 ! 99-10 (G. Madec) Free form, F90 !! 9.0 ! 05-10 (A. Beckmann) correction for s-coordinates !!---------------------------------------------------------------------- !! * Modules used USE oce , zgru => ua, & ! use ua as workspace zgrv => va, & ! use va as workspace zwy => ta, & ! use ta as workspace zwz => sa ! use sa as workspace !! * Arguments INTEGER, INTENT( in ) :: kt ! ocean time-step index REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & prd, & ! in situ density pn2 ! Brunt-Vaisala frequency (locally ref.) !! * Local declarations INTEGER :: ji, jj, jk ! dummy loop indices INTEGER :: ii0, ii1, ij0, ij1, & ! temporary integer & iku, ikv ! " " REAL(wp) :: & zeps, zmg, zm05g, & ! temporary scalars zcoef1, zcoef2, zcoef3, & ! zau, zbu, zav, zbv, & zai, zbi, zaj, zbj, & zcofu, zcofv, zcofw, & z1u, z1v, z1wu, z1wv, & zalpha REAL(wp), DIMENSION(jpi,jpj,jpk) :: zww !!---------------------------------------------------------------------- ! 0. Initialization (first time-step only) ! -------------- IF( kt == nit000 ) CALL ldf_slp_init ! 0. Local constant initialization ! -------------------------------- zeps = 1.e-20 zmg = -1.0 / grav zm05g = -0.5 / grav zww(:,:,:) = 0.e0 zwz(:,:,:) = 0.e0 ! horizontal density gradient computation DO jk = 1, jpk DO jj = 1, jpjm1 DO ji = 1, fs_jpim1 ! vector opt. zgru(ji,jj,jk) = umask(ji,jj,jk) * ( prd(ji+1,jj ,jk) - prd(ji,jj,jk) ) zgrv(ji,jj,jk) = vmask(ji,jj,jk) * ( prd(ji ,jj+1,jk) - prd(ji,jj,jk) ) END DO END DO END DO IF( ln_zps ) THEN ! partial steps correction at the bottom ocean level (zps_hde routine) # if defined key_vectopt_loop && ! defined key_mpp_omp jj = 1 DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) # else DO jj = 1, jpjm1 DO ji = 1, jpim1 # endif ! last ocean level iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj) ) - 1 ikv = MIN ( mbathy(ji,jj), mbathy(ji,jj+1) ) - 1 zgru(ji,jj,iku) = gru(ji,jj) zgrv(ji,jj,ikv) = grv(ji,jj) # if ! defined key_vectopt_loop || defined key_mpp_omp END DO # endif END DO ENDIF ! Slopes of isopycnal surfaces just below the mixed layer ! ------------------------------------------------------- CALL ldf_slp_mxl( prd, pn2 ) !-------------------synchro--------------------------------------------- ! ! =============== DO jk = 2, jpkm1 ! Horizontal slab ! ! =============== ! I. slopes at u and v point ! =========================== ! I.1. Slopes of isopycnal surfaces ! --------------------------------- ! uslp = d/di( prd ) / d/dz( prd ) ! vslp = d/dj( prd ) / d/dz( prd ) ! Local vertical density gradient evaluated from N^2 ! zwy = d/dz(prd)= - ( prd ) / grav * mk(pn2) -- at t point DO jj = 1, jpj DO ji = 1, jpi zwy(ji,jj,jk) = zmg * ( prd(ji,jj,jk) + 1. ) & & * ( pn2(ji,jj,jk) + pn2(ji,jj,jk+1) ) & & / MAX( tmask(ji,jj,jk) + tmask (ji,jj,jk+1), 1. ) END DO END DO ! Slope at u and v points DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 ! vector opt. ! horizontal and vertical density gradient at u- and v-points zau = 1. / e1u(ji,jj) * zgru(ji,jj,jk) zav = 1. / e2v(ji,jj) * zgrv(ji,jj,jk) zbu = 0.5 * ( zwy(ji,jj,jk) + zwy(ji+1,jj ,jk) ) zbv = 0.5 * ( zwy(ji,jj,jk) + zwy(ji ,jj+1,jk) ) ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) zbu = MIN( zbu, -100.*ABS( zau ), -7.e+3/fse3u(ji,jj,jk)*ABS( zau ) ) zbv = MIN( zbv, -100.*ABS( zav ), -7.e+3/fse3v(ji,jj,jk)*ABS( zav ) ) ! uslp and vslp output in zwz and zww, resp. zalpha = MAX( omlmask(ji,jj,jk), omlmask(ji+1,jj,jk) ) zwz (ji,jj,jk) = ( zau / ( zbu - zeps ) * ( 1. - zalpha) & & + zalpha * uslpml(ji,jj) & & * 0.5 * ( fsdept(ji+1,jj,jk)+fsdept(ji,jj,jk)-fse3u(ji,jj,1) ) & & / MAX( hmlpt(ji,jj), hmlpt(ji+1,jj), 5. ) ) * umask(ji,jj,jk) zalpha = MAX( omlmask(ji,jj,jk), omlmask(ji,jj+1,jk) ) zww (ji,jj,jk) = ( zav / ( zbv - zeps ) * ( 1. - zalpha) & & + zalpha * vslpml(ji,jj) & & * 0.5 * ( fsdept(ji,jj+1,jk)+fsdept(ji,jj,jk)-fse3v(ji,jj,1) ) & & / MAX( hmlpt(ji,jj), hmlpt(ji,jj+1), 5. ) ) * vmask(ji,jj,jk) END DO END DO ! ! =============== END DO ! end of slab ! ! =============== ! lateral boundary conditions on zww and zwz CALL lbc_lnk( zwz, 'U', -1. ) CALL lbc_lnk( zww, 'V', -1. ) ! ! =============== DO jk = 2, jpkm1 ! Horizontal slab ! ! =============== ! Shapiro filter applied in the horizontal direction zcofu = 1. / 16. zcofv = 1. / 16. DO jj = 2, jpjm1, jpj-3 ! row jj=2 and =jpjm1 only DO ji = 2, jpim1 !uslop uslp(ji,jj,jk) = zcofu * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & & + 2.*(zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & & + 4.* zwz(ji ,jj ,jk) ) ! vslop vslp(ji,jj,jk) = zcofv * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & & + 2.*(zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & & + 4.* zww(ji,jj ,jk) ) END DO END DO DO jj = 3, jpj-2 DO ji = fs_2, fs_jpim1 ! vector opt. ! uslop uslp(ji,jj,jk) = zcofu * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & & + 4.* zwz(ji ,jj ,jk) ) ! vslop vslp(ji,jj,jk) = zcofv * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & & + 4.* zww(ji,jj ,jk) ) END DO END DO ! decrease along coastal boundaries DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 ! vector opt. z1u = ( umask(ji,jj+1,jk) + umask(ji,jj-1,jk) )*.5 z1v = ( vmask(ji+1,jj,jk) + vmask(ji-1,jj,jk) )*.5 z1wu = ( umask(ji,jj,jk) + umask(ji,jj,jk+1) )*.5 z1wv = ( vmask(ji,jj,jk) + vmask(ji,jj,jk+1) )*.5 uslp(ji,jj,jk) = uslp(ji,jj,jk) * z1u * z1wu vslp(ji,jj,jk) = vslp(ji,jj,jk) * z1v * z1wv END DO END DO ! II. Computation of slopes at w point ! ==================================== ! II.1 Slopes of isopycnal surfaces ! --------------------------------- ! wslpi = mij( d/di( prd ) / d/dz( prd ) ! wslpj = mij( d/dj( prd ) / d/dz( prd ) ! Local vertical density gradient evaluated from N^2 ! zwy = d/dz(prd)= - mk ( prd ) / grav * pn2 -- at w point DO jj = 1, jpj DO ji = 1, jpi zwy (ji,jj,jk) = zm05g * pn2 (ji,jj,jk) * & & ( prd (ji,jj,jk) + prd (ji,jj,jk-1) + 2. ) END DO END DO ! Slope at w point DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 ! vector opt. ! horizontal density i-gradient at w-points zcoef1 = MAX( zeps, umask(ji-1,jj,jk )+umask(ji,jj,jk ) & & +umask(ji-1,jj,jk-1)+umask(ji,jj,jk-1) ) zcoef1 = 1. / ( zcoef1 * e1t (ji,jj) ) zai = zcoef1 * ( zgru(ji ,jj,jk ) + zgru(ji ,jj,jk-1) & & + zgru(ji-1,jj,jk-1) + zgru(ji-1,jj,jk ) ) * tmask (ji,jj,jk) ! horizontal density j-gradient at w-points zcoef2 = MAX( zeps, vmask(ji,jj-1,jk )+vmask(ji,jj,jk-1) & & +vmask(ji,jj-1,jk-1)+vmask(ji,jj,jk ) ) zcoef2 = 1.0 / ( zcoef2 * e2t (ji,jj) ) zaj = zcoef2 * ( zgrv(ji,jj ,jk ) + zgrv(ji,jj ,jk-1) & & + zgrv(ji,jj-1,jk-1) + zgrv(ji,jj-1,jk ) ) * tmask (ji,jj,jk) ! bound the slopes: abs(zw.)<= 1/100 and zb..<0. ! static instability: ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) zbi = MIN( zwy (ji,jj,jk),- 100.*ABS(zai), -7.e+3/fse3w(ji,jj,jk)*ABS(zai) ) zbj = MIN( zwy (ji,jj,jk), -100.*ABS(zaj), -7.e+3/fse3w(ji,jj,jk)*ABS(zaj) ) ! wslpi and wslpj output in zwz and zww, resp. zalpha = MAX( omlmask(ji,jj,jk), omlmask(ji,jj,jk-1) ) zcoef3 = fsdepw(ji,jj,jk) / MAX( hmlp(ji,jj), 10. ) zwz(ji,jj,jk) = ( zai / ( zbi - zeps) * ( 1. - zalpha ) & & + zcoef3 * wslpiml(ji,jj) * zalpha ) * tmask (ji,jj,jk) zww(ji,jj,jk) = ( zaj / ( zbj - zeps) * ( 1. - zalpha ) & & + zcoef3 * wslpjml(ji,jj) * zalpha ) * tmask (ji,jj,jk) END DO END DO ! ! =============== END DO ! end of slab ! ! =============== ! lateral boundary conditions on zwz and zww CALL lbc_lnk( zwz, 'T', -1. ) CALL lbc_lnk( zww, 'T', -1. ) ! ! =============== DO jk = 2, jpkm1 ! Horizontal slab ! ! =============== ! Shapiro filter applied in the horizontal direction DO jj = 2, jpjm1, jpj-3 ! row jj=2 and =jpjm1 DO ji = 2, jpim1 zcofw = tmask(ji,jj,jk)/16. wslpi(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & & + 4.* zwz(ji ,jj ,jk) ) * zcofw wslpj(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & & + 4.* zww(ji ,jj ,jk) ) * zcofw END DO END DO DO jj = 3, jpj-2 DO ji = fs_2, fs_jpim1 ! vector opt. zcofw = tmask(ji,jj,jk)/16. wslpi(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & & + 4.* zwz(ji ,jj ,jk) ) * zcofw wslpj(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & & + 4.* zww(ji ,jj ,jk) ) * zcofw END DO END DO ! decrease the slope along the boundaries DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 ! vector opt. z1u = ( umask(ji,jj,jk) + umask(ji-1,jj,jk) ) *.5 z1v = ( vmask(ji,jj,jk) + vmask(ji,jj-1,jk) ) *.5 wslpi(ji,jj,jk) = wslpi(ji,jj,jk) * z1u * z1v wslpj(ji,jj,jk) = wslpj(ji,jj,jk) * z1u * z1v END DO END DO ! III. Specific grid points ! ------------------------- IF( cp_cfg == "orca" .AND. jp_cfg == 4 ) THEN ! ! ======================= ! Horizontal diffusion in ! ORCA_R4 configuration ! specific area ! ======================= ! ! ! Gibraltar Strait ij0 = 50 ; ij1 = 53 ii0 = 69 ; ii1 = 71 ; uslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 ij0 = 51 ; ij1 = 53 ii0 = 68 ; ii1 = 71 ; vslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 ii0 = 69 ; ii1 = 71 ; wslpi( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 ii0 = 69 ; ii1 = 71 ; wslpj( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 ! ! Mediterrannean Sea ij0 = 49 ; ij1 = 56 ii0 = 71 ; ii1 = 90 ; uslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 ij0 = 50 ; ij1 = 56 ii0 = 70 ; ii1 = 90 ; vslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 ii0 = 71 ; ii1 = 90 ; wslpi( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 ii0 = 71 ; ii1 = 90 ; wslpj( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 ENDIF ! ! =============== END DO ! end of slab ! ! =============== ! III Lateral boundary conditions on all slopes (uslp , vslp, ! ------------------------------- wslpi, wslpj ) CALL lbc_lnk( uslp , 'U', -1. ) ; CALL lbc_lnk( vslp , 'V', -1. ) CALL lbc_lnk( wslpi, 'W', -1. ) ; CALL lbc_lnk( wslpj, 'W', -1. ) IF(ln_ctl) THEN CALL prt_ctl(tab3d_1=uslp , clinfo1=' slp - u : ', tab3d_2=vslp, clinfo2=' v : ', kdim=jpk) CALL prt_ctl(tab3d_1=wslpi, clinfo1=' slp - wi: ', tab3d_2=wslpj, clinfo2=' wj: ', kdim=jpk) ENDIF END SUBROUTINE ldf_slp SUBROUTINE ldf_slp_mxl( prd, pn2 ) !!---------------------------------------------------------------------- !! *** ROUTINE ldf_slp_mxl *** !! ** Purpose : !! Compute the slopes of iso-neutral surface (slope of isopycnal !! surfaces referenced locally) just above the mixed layer. !! !! ** Method : !! The slope in the i-direction is computed at u- and w-points !! (uslp, wslpi) and the slope in the j-direction is computed at !! v- and w-points (vslp, wslpj). !! They are bounded by 1/100 over the whole ocean, and within the !! surface layer they are bounded by the distance to the surface !! ( slope<= depth/l where l is the length scale of horizontal !! diffusion (here, aht=2000m2/s ==> l=20km with a typical velocity !! of 10cm/s) !! !! ** Action : !! Compute uslp, wslpi, and vslp, wslpj, the i- and j-slopes !! of now neutral surfaces at u-, w- and v- w-points, resp. !! !! History : !! 8.1 ! 99-10 (A. Jouzeau) Original code !! 8.5 ! 99-10 (G. Madec) Free form, F90 !!---------------------------------------------------------------------- !! * Modules used USE oce , zgru => ua, & ! ua, va used as workspace and set to hor. zgrv => va ! density gradient in ldf_slp !! * Arguments REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & prd, & ! in situ density pn2 ! Brunt-Vaisala frequency (locally ref.) !! * Local declarations INTEGER :: ji, jj, jk ! dummy loop indices INTEGER :: ik, ikm1 ! temporary integers REAL(wp), DIMENSION(jpi,jpj) :: & zwy ! temporary workspace REAL(wp) :: & zeps, zmg, zm05g, & ! temporary scalars zcoef1, zcoef2, & ! " " zau, zbu, zav, zbv, & ! " " zai, zbi, zaj, zbj ! " " !!---------------------------------------------------------------------- ! 0. Local constant initialization ! -------------------------------- zeps = 1.e-20 zmg = -1.0 / grav zm05g = -0.5 / grav uslpml (1,:) = 0.e0 ; uslpml (jpi,:) = 0.e0 vslpml (1,:) = 0.e0 ; vslpml (jpi,:) = 0.e0 wslpiml(1,:) = 0.e0 ; wslpiml(jpi,:) = 0.e0 wslpjml(1,:) = 0.e0 ; wslpjml(jpi,:) = 0.e0 ! surface mixed layer mask ! mask for mixed layer DO jk = 1, jpk # if defined key_vectopt_loop && ! defined key_mpp_omp jj = 1 DO ji = 1, jpij ! vector opt. (forced unrolling) # else DO jj = 1, jpj DO ji = 1, jpi # endif ! mixed layer interior (mask = 1) and exterior (mask = 0) ik = nmln(ji,jj) - 1 IF( jk <= ik ) THEN omlmask(ji,jj,jk) = 1.e0 ELSE omlmask(ji,jj,jk) = 0.e0 ENDIF # if ! defined key_vectopt_loop || defined key_mpp_omp END DO # endif END DO END DO ! Slopes of isopycnal surfaces just before bottom of mixed layer ! -------------------------------------------------------------- ! uslpml = d/di( prd ) / d/dz( prd ) ! vslpml = d/dj( prd ) / d/dz( prd ) ! Local vertical density gradient evaluated from N^2 ! zwy = d/dz(prd)= - ( prd ) / grav * mk(pn2) -- at t point !----------------------------------------------------------------------- zwy(:,jpj) = 0.e0 zwy(jpi,:) = 0.e0 # if defined key_vectopt_loop && ! defined key_mpp_omp jj = 1 DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) # else DO jj = 1, jpjm1 DO ji = 1, jpim1 # endif ik = MAX( 1, nmln(ji,jj) , nmln(ji+1,jj) ) ! if ik = jpk take jpkm1 values ik = MIN( ik,jpkm1 ) zwy(ji,jj) = zmg * ( prd(ji,jj,ik) + 1. ) & & * ( pn2(ji,jj,ik) + pn2(ji,jj,ik+1) ) & & / MAX( tmask(ji,jj,ik) + tmask (ji,jj,ik+1), 1. ) # if ! defined key_vectopt_loop || defined key_mpp_omp END DO # endif END DO ! lateral boundary conditions on zwy CALL lbc_lnk( zwy, 'U', -1. ) ! Slope at u points # if defined key_vectopt_loop && ! defined key_mpp_omp jj = 1 DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) # else DO jj = 2, jpjm1 DO ji = 2, jpim1 # endif ! horizontal and vertical density gradient at u-points ik = MAX( 1, nmln(ji,jj) , nmln(ji+1,jj) ) ik = MIN( ik,jpkm1 ) zau = 1./ e1u(ji,jj) * zgru(ji,jj,ik) zbu = 0.5*( zwy(ji,jj) + zwy(ji+1,jj) ) ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) zbu = MIN( zbu, -100.*ABS(zau), -7.e+3/fse3u(ji,jj,ik)*ABS(zau) ) ! uslpml uslpml (ji,jj) = zau / ( zbu - zeps ) * umask (ji,jj,ik) # if ! defined key_vectopt_loop || defined key_mpp_omp END DO # endif END DO ! lateral boundary conditions on uslpml CALL lbc_lnk( uslpml, 'U', -1. ) ! Local vertical density gradient evaluated from N^2 ! zwy = d/dz(prd)= - ( prd ) / grav * mk(pn2) -- at t point zwy ( :, jpj) = 0.e0 zwy ( jpi, :) = 0.e0 # if defined key_vectopt_loop && ! defined key_mpp_omp jj = 1 DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) # else DO jj = 1, jpjm1 DO ji = 1, jpim1 # endif ik = MAX( 1, nmln(ji,jj) , nmln(ji,jj+1) ) ik = MIN( ik,jpkm1 ) zwy(ji,jj) = zmg * ( prd(ji,jj,ik) + 1. ) & & * ( pn2(ji,jj,ik) + pn2(ji,jj,ik+1) ) & & / MAX( tmask(ji,jj,ik) + tmask (ji,jj,ik+1), 1. ) # if ! defined key_vectopt_loop || defined key_mpp_omp END DO # endif END DO ! lateral boundary conditions on zwy CALL lbc_lnk( zwy, 'V', -1. ) ! Slope at v points # if defined key_vectopt_loop && ! defined key_mpp_omp jj = 1 DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) # else DO jj = 2, jpjm1 DO ji = 2, jpim1 # endif ! horizontal and vertical density gradient at v-points ik = MAX( 1, nmln(ji,jj) , nmln(ji,jj+1) ) ik = MIN( ik,jpkm1 ) zav = 1./ e2v(ji,jj) * zgrv(ji,jj,ik) zbv = 0.5*( zwy(ji,jj) + zwy(ji,jj+1) ) ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) zbv = MIN( zbv, -100.*ABS(zav), -7.e+3/fse3v(ji,jj,ik)*ABS( zav ) ) ! vslpml vslpml (ji,jj) = zav / ( zbv - zeps ) * vmask (ji,jj,ik) # if ! defined key_vectopt_loop || defined key_mpp_omp END DO # endif END DO ! lateral boundary conditions on vslpml CALL lbc_lnk( vslpml, 'V', -1. ) ! wslpiml = mij( d/di( prd ) / d/dz( prd ) ! wslpjml = mij( d/dj( prd ) / d/dz( prd ) ! Local vertical density gradient evaluated from N^2 ! zwy = d/dz(prd)= - mk ( prd ) / grav * pn2 -- at w point # if defined key_vectopt_loop && ! defined key_mpp_omp jj = 1 DO ji = 1, jpij ! vector opt. (forced unrolling) # else DO jj = 1, jpj DO ji = 1, jpi # endif ik = nmln(ji,jj)+1 ik = MIN( ik,jpk ) ikm1 = MAX ( 1, ik-1) zwy (ji,jj) = zm05g * pn2 (ji,jj,ik) * & & ( prd (ji,jj,ik) + prd (ji,jj,ikm1) + 2. ) # if ! defined key_vectopt_loop || defined key_mpp_omp END DO # endif END DO ! Slope at w point # if defined key_vectopt_loop && ! defined key_mpp_omp jj = 1 DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) # else DO jj = 2, jpjm1 DO ji = 2, jpim1 # endif ik = nmln(ji,jj)+1 ik = MIN( ik,jpk ) ikm1 = MAX ( 1, ik-1) ! horizontal density i-gradient at w-points zcoef1 = MAX( zeps, umask(ji-1,jj,ik )+umask(ji,jj,ik ) & & +umask(ji-1,jj,ikm1)+umask(ji,jj,ikm1) ) zcoef1 = 1. / ( zcoef1 * e1t (ji,jj) ) zai = zcoef1 * ( zgru(ji ,jj,ik ) + zgru(ji ,jj,ikm1) & & + zgru(ji-1,jj,ikm1) + zgru(ji-1,jj,ik ) ) * tmask (ji,jj,ik) ! horizontal density j-gradient at w-points zcoef2 = MAX( zeps, vmask(ji,jj-1,ik )+vmask(ji,jj,ikm1) & & +vmask(ji,jj-1,ikm1)+vmask(ji,jj,ik ) ) zcoef2 = 1.0 / ( zcoef2 * e2t (ji,jj) ) zaj = zcoef2 * ( zgrv(ji,jj ,ik ) + zgrv(ji,jj ,ikm1) & & + zgrv(ji,jj-1,ikm1) + zgrv(ji,jj-1,ik ) ) * tmask (ji,jj,ik) ! bound the slopes: abs(zw.)<= 1/100 and zb..<0. ! static instability: ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) zbi = MIN ( zwy (ji,jj),- 100.*ABS(zai), -7.e+3/fse3w(ji,jj,ik)*ABS(zai) ) zbj = MIN ( zwy (ji,jj), -100.*ABS(zaj), -7.e+3/fse3w(ji,jj,ik)*ABS(zaj) ) ! wslpiml and wslpjml wslpiml (ji,jj) = zai / ( zbi - zeps) * tmask (ji,jj,ik) wslpjml (ji,jj) = zaj / ( zbj - zeps) * tmask (ji,jj,ik) # if ! defined key_vectopt_loop || defined key_mpp_omp END DO # endif END DO ! lateral boundary conditions on wslpiml and wslpjml CALL lbc_lnk( wslpiml, 'W', -1. ) CALL lbc_lnk( wslpjml, 'W', -1. ) END SUBROUTINE ldf_slp_mxl SUBROUTINE ldf_slp_init !!---------------------------------------------------------------------- !! *** ROUTINE ldf_slp_init *** !! !! ** Purpose : Initialization for the isopycnal slopes computation !! !! ** Method : read the nammbf namelist and check the parameter !! values called by tra_dmp at the first timestep (nit000) !! !! History : !! 8.5 ! 02-06 (G. Madec) original code !!---------------------------------------------------------------------- !! * local declarations INTEGER :: ji, jj, jk ! dummy loop indices !!---------------------------------------------------------------------- ! Parameter control and print ! --------------------------- IF(lwp) THEN WRITE(numout,*) WRITE(numout,*) 'ldf_slp : direction of lateral mixing' WRITE(numout,*) '~~~~~~~' ENDIF ! Direction of lateral diffusion (tracers and/or momentum) ! ------------------------------ ! set the slope to zero (even in s-coordinates) uslp (:,:,:) = 0.e0 vslp (:,:,:) = 0.e0 wslpi(:,:,:) = 0.e0 wslpj(:,:,:) = 0.e0 uslpml (:,:) = 0.e0 vslpml (:,:) = 0.e0 wslpiml(:,:) = 0.e0 wslpjml(:,:) = 0.e0 IF( ln_traldf_hor ) THEN IF(lwp) THEN WRITE(numout,*) ' Horizontal mixing in s-coordinate: slope = slope of s-surfaces' ENDIF ! geopotential diffusion in s-coordinates on tracers and/or momentum ! The slopes of s-surfaces are computed once (no call to ldfslp in step) ! The slopes for momentum diffusion are i- or j- averaged of those on tracers ! set the slope of diffusion to the slope of s-surfaces ! ( c a u t i o n : minus sign as fsdep has positive value ) DO jk = 1, jpk DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 ! vector opt. uslp (ji,jj,jk) = -1./e1u(ji,jj) * ( fsdept(ji+1,jj,jk) - fsdept(ji ,jj ,jk) ) * umask(ji,jj,jk) vslp (ji,jj,jk) = -1./e2v(ji,jj) * ( fsdept(ji,jj+1,jk) - fsdept(ji ,jj ,jk) ) * vmask(ji,jj,jk) wslpi(ji,jj,jk) = -1./e1t(ji,jj) * ( fsdepw(ji+1,jj,jk) - fsdepw(ji-1,jj,jk) ) * tmask(ji,jj,jk) * 0.5 wslpj(ji,jj,jk) = -1./e2t(ji,jj) * ( fsdepw(ji,jj+1,jk) - fsdepw(ji,jj-1,jk) ) * tmask(ji,jj,jk) * 0.5 END DO END DO END DO ! Lateral boundary conditions on the slopes CALL lbc_lnk( uslp , 'U', -1. ) ; CALL lbc_lnk( vslp , 'V', -1. ) CALL lbc_lnk( wslpi, 'W', -1. ) ; CALL lbc_lnk( wslpj, 'W', -1. ) ENDIF END SUBROUTINE ldf_slp_init #else !!------------------------------------------------------------------------ !! Dummy module : NO Rotation of lateral mixing tensor !!------------------------------------------------------------------------ LOGICAL, PUBLIC, PARAMETER :: lk_ldfslp = .FALSE. !: slopes flag CONTAINS SUBROUTINE ldf_slp( kt, prd, pn2 ) ! Dummy routine INTEGER, INTENT(in) :: kt REAL,DIMENSION(:,:,:), INTENT(in) :: prd, pn2 WRITE(*,*) 'ldf_slp: You should not have seen this print! error?', kt, prd(1,1,1), pn2(1,1,1) END SUBROUTINE ldf_slp #endif !!====================================================================== END MODULE ldfslp