MODULE ldfslp !!====================================================================== !! *** MODULE ldfslp *** !! Ocean physics: slopes of neutral surfaces !!====================================================================== !! History : OPA ! 1994-12 (G. Madec, M. Imbard) Original code !! 8.0 ! 1997-06 (G. Madec) optimization, lbc !! 8.1 ! 1999-10 (A. Jouzeau) NEW profile in the mixed layer !! NEMO 1.0 ! 2002-10 (G. Madec) Free form, F90 !! - ! 2005-10 (A. Beckmann) correction for s-coordinates !! 3.3 ! 2010-10 (G. Nurser, C. Harris, G. Madec) add Griffies operator !! - ! 2010-11 (F. Dupond, G. Madec) bug correction in slopes just below the ML !!---------------------------------------------------------------------- #if defined key_ldfslp || defined key_esopa !!---------------------------------------------------------------------- !! 'key_ldfslp' Rotation of lateral mixing tensor !!---------------------------------------------------------------------- !! ldf_slp_grif : calculates the triads of isoneutral slopes (Griffies operator) !! ldf_slp : calculates the slopes of neutral surface (Madec operator) !! ldf_slp_mxl : calculates the slopes at the base of the mixed layer (Madec operator) !! ldf_slp_init : initialization of the slopes computation !!---------------------------------------------------------------------- USE timing, ONLY: timing_start, timing_stop USE oce ! ocean dynamics and tracers USE dom_oce ! ocean space and time domain USE ldftra_oce ! lateral diffusion: traceur USE ldfdyn_oce ! lateral diffusion: dynamics USE phycst ! physical constants USE zdfmxl ! mixed layer depth USE eosbn2 ! equation of states USE lbclnk ! ocean lateral boundary conditions (or mpp link) USE in_out_manager ! I/O manager USE prtctl ! Print control IMPLICIT NONE PRIVATE PUBLIC ldf_slp ! routine called by step.F90 PUBLIC ldf_slp_grif ! routine called by step.F90 PUBLIC ldf_slp_init ! routine called by opa.F90 LOGICAL , PUBLIC, PARAMETER :: lk_ldfslp = .TRUE. !: slopes flag ! !! Madec operator ! Arrays allocated in ldf_slp_init() routine once we know whether we're using the Griffies or Madec operator REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: uslp, wslpi !: i_slope at U- and W-points REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: vslp, wslpj !: j-slope at V- and W-points ! !! Griffies operator REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: wslp2 !: wslp**2 from Griffies quarter cells REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:,:,:) :: & & triadi_g, triadj_g !: skew flux slopes relative to geopotentials REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:,:,:) :: & & triadi , triadj !: isoneutral slopes relative to model-coordinate ! !! Madec operator ! Arrays allocated in ldf_slp_init() routine once we know whether we're using the Griffies or Madec operator REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: omlmask ! mask of the surface mixed layer at T-pt REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: uslpml, wslpiml ! i_slope at U- and W-points just below the mixed layer REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: vslpml, wslpjml ! j_slope at V- and W-points just below the mixed layer REAL(wp) :: repsln = 1.e-25_wp ! tiny value used as minium of di(rho), dj(rho) and dk(rho) ! Workspace arrays for ldf_slp_grif. These could be replaced by several 3D and 2D workspace ! arrays from the wrk_nemo module with a bit of code re-writing. The 4D workspace ! arrays can't be used here because of the zero-indexing of some of the ranks. ARPDBG. REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:,:) :: zdzrho , zdyrho, zdxrho ! Horizontal and vertical density gradients REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:,:) :: zti_mlb, ztj_mlb ! for Griffies operator only !! * Control permutation of array indices # include "ldfslp_ftrans.h90" !FTRANS zdxrho :I :I :z : !FTRANS zdyrho :I :I :z : !FTRANS zdzrho :I :I :z : # include "oce_ftrans.h90" # include "dom_oce_ftrans.h90" # include "ldftra_oce_ftrans.h90" # include "ldfdyn_oce_ftrans.h90" !! * Substitutions # include "domzgr_substitute.h90" # include "ldftra_substitute.h90" # include "ldfeiv_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 INTEGER FUNCTION ldf_slp_alloc() !!---------------------------------------------------------------------- !! *** FUNCTION ldf_slp_alloc *** !!---------------------------------------------------------------------- ! ALLOCATE( zdxrho (jpi,jpj,jpk,0:1) , zti_mlb(jpi,jpj,0:1,0:1) , & & zdyrho (jpi,jpj,jpk,0:1) , ztj_mlb(jpi,jpj,0:1,0:1) , & & zdzrho (jpi,jpj,jpk,0:1) , STAT=ldf_slp_alloc ) ! IF( lk_mpp ) CALL mpp_sum ( ldf_slp_alloc ) IF( ldf_slp_alloc /= 0 ) CALL ctl_warn('ldf_slp_alloc : failed to allocate arrays.') ! END FUNCTION ldf_slp_alloc SUBROUTINE ldf_slp( kt, prd, pn2 ) !!---------------------------------------------------------------------- !! *** ROUTINE ldf_slp *** !! !! ** Purpose : Compute the slopes of neutral surface (slope of isopycnal !! surfaces referenced locally) (ln_traldf_iso=T). !! !! ** 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. !!---------------------------------------------------------------------- USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released USE oce , ONLY: zgru => ua , zww => va ! (ua,va) used as workspace USE oce , ONLY: zgrv => ta , zwz => sa ! (ta,sa) used as workspace USE wrk_nemo, ONLY: zdzr => wrk_3d_1 ! 3D workspace !! DCSE_NEMO: need additional directives for renamed module variables !FTRANS zgru :I :I :z !FTRANS zww :I :I :z !FTRANS zgrv :I :I :z !FTRANS zwz :I :I :z !FTRANS zdzr :I :I :z !! INTEGER , INTENT(in) :: kt ! ocean time-step index !FTRANS prd :I :I :z !FTRANS pn2 :I :I :z REAL(wp), INTENT(in), DIMENSION(:,:,:) :: prd ! in situ density REAL(wp), INTENT(in), DIMENSION(:,:,:) :: pn2 ! Brunt-Vaisala frequency (locally ref.) !! INTEGER :: ji , jj , jk ! dummy loop indices INTEGER :: ii0, ii1, iku ! temporary integer INTEGER :: ij0, ij1, ikv ! temporary integer REAL(wp) :: zeps, zm1_g, zm1_2g, z1_16 ! local scalars REAL(wp) :: zci, zfi, zau, zbu, zai, zbi ! - - REAL(wp) :: zcj, zfj, zav, zbv, zaj, zbj ! - - REAL(wp) :: zck, zfk, zbw ! - - !!---------------------------------------------------------------------- CALL timing_start('ldf_slp') IF( wrk_in_use(3, 1) ) THEN CALL ctl_stop('ldf_slp: requested workspace arrays are unavailable') ; RETURN ENDIF zeps = 1.e-20_wp !== Local constant initialization ==! z1_16 = 1.0_wp / 16._wp zm1_g = -1.0_wp / grav zm1_2g = -0.5_wp / grav ! zww(:,:,:) = 0._wp zwz(:,:,:) = 0._wp ! #if defined key_z_first DO jj = 1, jpjm1 !== i- & j-gradient of density ==! DO ji = 1, jpim1 DO jk = 1, jpkf #else DO jk = 1, jpkf !== i- & j-gradient of density ==! DO jj = 1, jpjm1 DO ji = 1, fs_jpim1 ! vector opt. #endif 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 !! DCSE_NEMO: Attention! key_vectopt_loop will break key_z_first # if ( defined key_vectopt_loop ) && ! ( defined key_z_first ) DO jj = 1, 1 DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) # else DO jj = 1, jpjm1 DO ji = 1, jpim1 # endif zgru(ji,jj,mbku(ji,jj)) = gru(ji,jj) zgrv(ji,jj,mbkv(ji,jj)) = grv(ji,jj) END DO END DO ENDIF ! #if defined key_z_first DO jj = 1, jpj DO ji = 1, jpi zdzr(ji,jj,1) = 0._wp !== Local vertical density gradient at T-point == ! (evaluated from N^2) DO jk = 2, jpkfm1 zdzr(ji,jj,jk) = zm1_g * ( prd(ji,jj,jk) + 1._wp ) & & * ( pn2(ji,jj,jk) + pn2(ji,jj,jk+1) ) * ( 1._wp - 0.5_wp * tmask(ji,jj,jk+1) ) END DO END DO END DO #else zdzr(:,:,1) = 0._wp !== Local vertical density gradient at T-point == ! (evaluated from N^2) DO jk = 2, jpkfm1 ! ! zdzr = d/dz(prd)= - ( prd ) / grav * mk(pn2) -- at t point ! ! trick: tmask(ik ) = 0 => all pn2 = 0 => zdzr = 0 ! ! else tmask(ik+1) = 0 => pn2(ik+1) = 0 => zdzr divides by 1 ! ! umask(ik+1) /= 0 => all pn2 /= 0 => zdzr divides by 2 ! ! NB: 1/(tmask+1) = (1-.5*tmask) substitute a / by a * ==> faster zdzr(:,:,jk) = zm1_g * ( prd(:,:,jk) + 1._wp ) & & * ( pn2(:,:,jk) + pn2(:,:,jk+1) ) * ( 1._wp - 0.5_wp * tmask(:,:,jk+1) ) END DO #endif ! ! !== Slopes just below the mixed layer ==! CALL ldf_slp_mxl( prd, pn2, zgru, zgrv, zdzr ) ! output: uslpml, vslpml, wslpiml, wslpjml ! I. slopes at u and v point | uslp = d/di( prd ) / d/dz( prd ) ! =========================== | vslp = d/dj( prd ) / d/dz( prd ) ! #if defined key_z_first DO jj = 2, jpjm1 !* Slopes at u and v points DO ji = 2, jpim1 DO jk = 2, jpkfm1 #else DO jk = 2, jpkfm1 !* Slopes at u and v points DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 ! vector opt. #endif ! ! horizontal and vertical density gradient at u- and v-points zau = zgru(ji,jj,jk) / e1u(ji,jj) zav = zgrv(ji,jj,jk) / e2v(ji,jj) zbu = 0.5_wp * ( zdzr(ji,jj,jk) + zdzr(ji+1,jj ,jk) ) zbv = 0.5_wp * ( zdzr(ji,jj,jk) + zdzr(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._wp* ABS( zau ) , -7.e+3_wp/fse3u(ji,jj,jk)* ABS( zau ) ) zbv = MIN( zbv, -100._wp* ABS( zav ) , -7.e+3_wp/fse3v(ji,jj,jk)* ABS( zav ) ) ! ! uslp and vslp output in zwz and zww, resp. zfi = MAX( omlmask(ji,jj,jk), omlmask(ji+1,jj,jk) ) zfj = MAX( omlmask(ji,jj,jk), omlmask(ji,jj+1,jk) ) zwz(ji,jj,jk) = ( ( 1. - zfi) * zau / ( zbu - zeps ) & & + zfi * uslpml(ji,jj) & & * 0.5_wp * ( fsdept(ji+1,jj,jk)+fsdept(ji,jj,jk)-fse3u(ji,jj,1) ) & & / MAX( hmlpt(ji,jj), hmlpt(ji+1,jj), 5._wp ) ) * umask(ji,jj,jk) zww(ji,jj,jk) = ( ( 1. - zfj) * zav / ( zbv - zeps ) & & + zfj * vslpml(ji,jj) & & * 0.5_wp * ( 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) !!gm modif to suppress omlmask.... (as in Griffies case) ! ! ! jk must be >= ML level for zf=1. otherwise zf=0. ! zfi = REAL( 1 - 1/(1 + jk / MAX( nmln(ji+1,jj), nmln(ji,jj) ) ), wp ) ! zfj = REAL( 1 - 1/(1 + jk / MAX( nmln(ji,jj+1), nmln(ji,jj) ) ), wp ) ! zci = 0.5 * ( fsdept(ji+1,jj,jk)+fsdept(ji,jj,jk) ) / MAX( hmlpt(ji,jj), hmlpt(ji+1,jj), 10. ) ) ! zcj = 0.5 * ( fsdept(ji,jj+1,jk)+fsdept(ji,jj,jk) ) / MAX( hmlpt(ji,jj), hmlpt(ji,jj+1), 10. ) ) ! zwz(ji,jj,jk) = ( zfi * zai / ( zbi - zeps ) + ( 1._wp - zfi ) * wslpiml(ji,jj) * zci ) * tmask(ji,jj,jk) ! zww(ji,jj,jk) = ( zfj * zaj / ( zbj - zeps ) + ( 1._wp - zfj ) * wslpjml(ji,jj) * zcj ) * tmask(ji,jj,jk) !!gm end modif END DO END DO END DO CALL lbc_lnk( zwz, 'U', -1. ) ; CALL lbc_lnk( zww, 'V', -1. ) ! lateral boundary conditions ! ! !* horizontal Shapiro filter #if defined key_z_first DO jj = 2, jpjm1, MAX(1, jpj-3) ! rows jj=2 and =jpjm1 only DO ji = 2, jpim1 DO jk = 2, jpkfm1 #else DO jk = 2, jpkfm1 DO jj = 2, jpjm1, MAX(1, jpj-3) ! rows jj=2 and =jpjm1 only DO ji = 2, jpim1 #endif uslp(ji,jj,jk) = z1_16 * ( 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) ) vslp(ji,jj,jk) = z1_16 * ( 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 #if defined key_z_first END DO DO jj = 3, jpj-2 ! other rows DO ji = 2, jpim1 DO jk = 2, jpkfm1 #else DO jj = 3, jpj-2 ! other rows DO ji = fs_2, fs_jpim1 ! vector opt. #endif uslp(ji,jj,jk) = z1_16 * ( 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) ) vslp(ji,jj,jk) = z1_16 * ( 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 #if defined key_z_first END DO ! !* decrease along coastal boundaries DO jj = 2, jpjm1 DO ji = 2, jpim1 DO jk = 2, jpkfm1 #else ! !* decrease along coastal boundaries DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 ! vector opt. #endif uslp(ji,jj,jk) = uslp(ji,jj,jk) * ( umask(ji,jj+1,jk) + umask(ji,jj-1,jk ) ) * 0.5_wp & & * ( umask(ji,jj ,jk) + umask(ji,jj ,jk+1) ) * 0.5_wp vslp(ji,jj,jk) = vslp(ji,jj,jk) * ( vmask(ji+1,jj,jk) + vmask(ji-1,jj,jk ) ) * 0.5_wp & & * ( vmask(ji ,jj,jk) + vmask(ji ,jj,jk+1) ) * 0.5_wp END DO END DO END DO ! II. slopes at w point | wslpi = mij( d/di( prd ) / d/dz( prd ) ! =========================== | wslpj = mij( d/dj( prd ) / d/dz( prd ) ! #if defined key_z_first DO jj = 2, jpjm1 DO ji = 2, jpim1 DO jk = 2, jpkfm1 #else DO jk = 2, jpkfm1 DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 ! vector opt. #endif ! !* Local vertical density gradient evaluated from N^2 zbw = zm1_2g * pn2 (ji,jj,jk) * ( prd (ji,jj,jk) + prd (ji,jj,jk-1) + 2. ) ! !* Slopes at w point ! ! i- & j-gradient of density at w-points zci = MAX( umask(ji-1,jj,jk ) + umask(ji,jj,jk ) & & + umask(ji-1,jj,jk-1) + umask(ji,jj,jk-1) , zeps ) * e1t(ji,jj) zcj = MAX( vmask(ji,jj-1,jk ) + vmask(ji,jj,jk-1) & & + vmask(ji,jj-1,jk-1) + vmask(ji,jj,jk ) , zeps ) * e2t(ji,jj) zai = ( zgru (ji-1,jj,jk ) + zgru (ji,jj,jk-1) & & + zgru (ji-1,jj,jk-1) + zgru (ji,jj,jk ) ) / zci * tmask (ji,jj,jk) zaj = ( zgrv (ji,jj-1,jk ) + zgrv (ji,jj,jk-1) & & + zgrv (ji,jj-1,jk-1) + zgrv (ji,jj,jk ) ) / zcj * tmask (ji,jj,jk) ! ! bound the slopes: abs(zw.)<= 1/100 and zb..<0. ! ! + kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) zbi = MIN( zbw ,- 100._wp* ABS( zai ) , -7.e+3_wp/fse3w(ji,jj,jk)* ABS( zai ) ) zbj = MIN( zbw , -100._wp* ABS( zaj ) , -7.e+3_wp/fse3w(ji,jj,jk)* ABS( zaj ) ) ! ! wslpi and wslpj with ML flattening (output in zwz and zww, resp.) zfk = MAX( omlmask(ji,jj,jk), omlmask(ji,jj,jk-1) ) ! zfk=1 in the ML otherwise zfk=0 zck = fsdepw(ji,jj,jk) / MAX( hmlp(ji,jj), 10._wp ) zwz(ji,jj,jk) = ( zai / ( zbi - zeps ) * ( 1._wp - zfk ) + zck * wslpiml(ji,jj) * zfk ) * tmask(ji,jj,jk) zww(ji,jj,jk) = ( zaj / ( zbj - zeps ) * ( 1._wp - zfk ) + zck * wslpjml(ji,jj) * zfk ) * tmask(ji,jj,jk) !!gm modif to suppress omlmask.... (as in Griffies operator) ! ! ! jk must be >= ML level for zfk=1. otherwise zfk=0. ! zfk = REAL( 1 - 1/(1 + jk / nmln(ji+1,jj)), wp ) ! zck = fsdepw(ji,jj,jk) / MAX( hmlp(ji,jj), 10. ) ! zwz(ji,jj,jk) = ( zfk * zai / ( zbi - zeps ) + ( 1._wp - zfk ) * wslpiml(ji,jj) * zck ) * tmask(ji,jj,jk) ! zww(ji,jj,jk) = ( zfk * zaj / ( zbj - zeps ) + ( 1._wp - zfk ) * wslpjml(ji,jj) * zck ) * tmask(ji,jj,jk) !!gm end modif END DO END DO END DO CALL lbc_lnk( zwz, 'T', -1. ) ; CALL lbc_lnk( zww, 'T', -1. ) ! lateral boundary conditions ! ! !* horizontal Shapiro filter #if defined key_z_first DO jj = 2, jpjm1, MAX(1, jpj-3) ! rows jj=2 and =jpjm1 only DO ji = 2, jpim1 DO jk = 2, jpkfm1 #else DO jk = 2, jpkfm1 DO jj = 2, jpjm1, MAX(1, jpj-3) ! rows jj=2 and =jpjm1 only DO ji = 2, jpim1 #endif 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) ) * z1_16 * tmask(ji,jj,jk) 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) ) * z1_16 * tmask(ji,jj,jk) END DO END DO #if defined key_z_first END DO DO jj = 3, jpj-2 ! other rows DO ji = 2, jpim1 DO jk = 2, jpkfm1 #else DO jj = 3, jpj-2 ! other rows DO ji = fs_2, fs_jpim1 ! vector opt. #endif 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) ) * z1_16 * tmask(ji,jj,jk) 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) ) * z1_16 * tmask(ji,jj,jk) END DO END DO #if defined key_z_first END DO ! !* decrease along coastal boundaries DO jj = 2, jpjm1 DO ji = 2, jpim1 DO jk = 2, jpkfm1 #else ! !* decrease along coastal boundaries DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 ! vector opt. #endif zck = ( umask(ji,jj,jk) + umask(ji-1,jj,jk) ) & & * ( vmask(ji,jj,jk) + vmask(ji,jj-1,jk) ) * 0.25 wslpi(ji,jj,jk) = wslpi(ji,jj,jk) * zck wslpj(ji,jj,jk) = wslpj(ji,jj,jk) * zck END DO END DO END DO ! III. Specific grid points ! =========================== ! IF( cp_cfg == "orca" .AND. jp_cfg == 4 ) THEN ! ORCA_R4 configuration: horizontal diffusion in specific area ! ! Gibraltar Strait ij0 = 50 ; ij1 = 53 ii0 = 69 ; ii1 = 71 ; uslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , :jpkf ) = 0._wp ij0 = 51 ; ij1 = 53 ii0 = 68 ; ii1 = 71 ; vslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , :jpkf ) = 0._wp ii0 = 69 ; ii1 = 71 ; wslpi( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , :jpkf ) = 0._wp ii0 = 69 ; ii1 = 71 ; wslpj( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , :jpkf ) = 0._wp ! ! ! Mediterranean Sea ij0 = 49 ; ij1 = 56 ii0 = 71 ; ii1 = 90 ; uslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , :jpkf ) = 0._wp ij0 = 50 ; ij1 = 56 ii0 = 70 ; ii1 = 90 ; vslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , :jpkf ) = 0._wp ii0 = 71 ; ii1 = 90 ; wslpi( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , :jpkf ) = 0._wp ii0 = 71 ; ii1 = 90 ; wslpj( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , :jpkf ) = 0._wp ENDIF ! IV. Lateral boundary conditions ! =============================== 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 ! IF( wrk_not_released(3, 1) ) CALL ctl_stop('ldf_slp: failed to release workspace arrays') ! CALL timing_stop('ldf_slp', 'section') END SUBROUTINE ldf_slp !! * Reset control of array index permutation !FTRANS CLEAR # include "ldfslp_ftrans.h90" !FTRANS zdxrho :I :I :z : !FTRANS zdyrho :I :I :z : !FTRANS zdzrho :I :I :z : # include "oce_ftrans.h90" # include "dom_oce_ftrans.h90" # include "ldftra_oce_ftrans.h90" # include "ldfdyn_oce_ftrans.h90" SUBROUTINE ldf_slp_grif ( kt ) !!---------------------------------------------------------------------- !! *** ROUTINE ldf_slp_grif *** !! !! ** Purpose : Compute the squared slopes of neutral surfaces (slope !! of iso-pycnal surfaces referenced locally) (ln_traldf_grif=T) !! at W-points using the Griffies quarter-cells. !! !! ** Method : calculates alpha and beta at T-points !! !! ** Action : - triadi_g, triadj_g T-pts i- and j-slope triads relative to geopot. (used for eiv) !! - triadi , triadj T-pts i- and j-slope triads relative to model-coordinate !! - wslp2 squared slope of neutral surfaces at w-points. !!---------------------------------------------------------------------- USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released USE oce , ONLY: zdit => ua , zdis => va ! (ua,va) used as workspace USE oce , ONLY: zdjt => ta , zdjs => sa ! (ta,sa) used as workspace USE wrk_nemo, ONLY: zdkt => wrk_3d_2 , zdks => wrk_3d_3 ! 3D workspace USE wrk_nemo, ONLY: zalpha => wrk_3d_4 , zbeta => wrk_3d_5 ! alpha, beta at T points, at depth fsgdept USE wrk_nemo, ONLY: z1_mlbw => wrk_2d_1 !! DCSE_NEMO: need additional directives for renamed module variables !FTRANS zdit :I :I :z !FTRANS zdis :I :I :z !FTRANS zdjt :I :I :z !FTRANS zdjs :I :I :z !FTRANS zdkt :I :I :z !FTRANS zdks :I :I :z !FTRANS zalpha :I :I :z !FTRANS zbeta :I :I :z ! INTEGER, INTENT( in ) :: kt ! ocean time-step index ! INTEGER :: ji, jj, jk, jl, ip, jp, kp ! dummy loop indices INTEGER :: iku, ikv ! local integer REAL(wp) :: zfacti, zfactj, zatempw,zatempu,zatempv ! local scalars REAL(wp) :: zbu, zbv, zbti, zbtj ! - - REAL(wp) :: zdxrho_raw, zti_coord, zti_raw, zti_lim, zti_lim2, zti_g_raw, zti_g_lim REAL(wp) :: zdyrho_raw, ztj_coord, ztj_raw, ztj_lim, ztj_lim2, ztj_g_raw, ztj_g_lim REAL(wp) :: zdzrho_raw !!---------------------------------------------------------------------- IF( wrk_in_use(3, 2,3,4,5) .OR. wrk_in_use(2, 1) )THEN CALL ctl_stop('ldf_slp_grif: requested workspace arrays are unavailable') ; RETURN ENDIF !--------------------------------! ! Some preliminary calculation ! !--------------------------------! ! CALL eos_alpbet( tsb, zalpha, zbeta ) !== before thermal and haline expension coeff. at T-points ==! ! #if defined key_z_first DO jj = 1, jpjm1 DO ji = 1, jpim1 DO jk = 1, jpkfm1 !== before lateral T & S gradients at T-level jk ==! #else DO jk = 1, jpkfm1 !== before lateral T & S gradients at T-level jk ==! DO jj = 1, jpjm1 DO ji = 1, fs_jpim1 ! vector opt. #endif zdit(ji,jj,jk) = ( tb(ji+1,jj,jk) - tb(ji,jj,jk) ) * umask(ji,jj,jk) ! i-gradient of T and S at jj zdis(ji,jj,jk) = ( sb(ji+1,jj,jk) - sb(ji,jj,jk) ) * umask(ji,jj,jk) zdjt(ji,jj,jk) = ( tb(ji,jj+1,jk) - tb(ji,jj,jk) ) * vmask(ji,jj,jk) ! j-gradient of T and S at jj zdjs(ji,jj,jk) = ( sb(ji,jj+1,jk) - sb(ji,jj,jk) ) * vmask(ji,jj,jk) END DO END DO END DO IF( ln_zps ) THEN ! partial steps: correction at the last level # if ( defined key_vectopt_loop ) && ! ( defined key_z_first ) DO jj = 1, 1 DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) # else DO jj = 1, jpjm1 DO ji = 1, jpim1 # endif zdit(ji,jj,mbku(ji,jj)) = gtsu(ji,jj,jp_tem) ! i-gradient of T and S zdis(ji,jj,mbku(ji,jj)) = gtsu(ji,jj,jp_sal) zdjt(ji,jj,mbkv(ji,jj)) = gtsv(ji,jj,jp_tem) ! j-gradient of T and S zdjs(ji,jj,mbkv(ji,jj)) = gtsv(ji,jj,jp_sal) END DO END DO ENDIF ! #if defined key_z_first DO jj = 1, jpj DO ji = 1, jpi zdkt(ji,jj,1) = 0._wp !== before vertical T & S gradient at w-level ==! zdks(ji,jj,1) = 0._wp DO jk = 2, jpkf zdkt(ji,jj,jk) = ( tb(ji,jj,jk-1) - tb(ji,jj,jk) ) * tmask(ji,jj,jk) zdks(ji,jj,jk) = ( sb(ji,jj,jk-1) - sb(ji,jj,jk) ) * tmask(ji,jj,jk) END DO END DO END DO #else zdkt(:,:,1) = 0._wp !== before vertical T & S gradient at w-level ==! zdks(:,:,1) = 0._wp DO jk = 2, jpkf zdkt(:,:,jk) = ( tb(:,:,jk-1) - tb(:,:,jk) ) * tmask(:,:,jk) zdks(:,:,jk) = ( sb(:,:,jk-1) - sb(:,:,jk) ) * tmask(:,:,jk) END DO #endif ! ! DO jl = 0, 1 !== density i-, j-, and k-gradients ==! ip = jl ; jp = jl ! guaranteed nonzero gradients ( absolute value larger than repsln) #if defined key_z_first DO jj = 1, jpjm1 ! NB: not masked due to the minimum value set DO ji = 1, jpim1 DO jk = 1, jpkfm1 ! done each pair of triad #else DO jk = 1, jpkfm1 ! done each pair of triad DO jj = 1, jpjm1 ! NB: not masked due to the minimum value set DO ji = 1, fs_jpim1 ! vector opt. #endif zdxrho_raw = ( zalpha(ji+ip,jj ,jk) * zdit(ji,jj,jk) + zbeta(ji+ip,jj ,jk) * zdis(ji,jj,jk) ) / e1u(ji,jj) zdyrho_raw = ( zalpha(ji ,jj+jp,jk) * zdjt(ji,jj,jk) + zbeta(ji ,jj+jp,jk) * zdjs(ji,jj,jk) ) / e2v(ji,jj) zdxrho(ji+ip,jj ,jk,1-ip) = SIGN( MAX( repsln, ABS( zdxrho_raw ) ), zdxrho_raw ) ! keep the sign zdyrho(ji ,jj+jp,jk,1-jp) = SIGN( MAX( repsln, ABS( zdyrho_raw ) ), zdyrho_raw ) END DO END DO END DO END DO DO kp = 0, 1 !== density i-, j-, and k-gradients ==! #if defined key_z_first DO jj = 1, jpj ! NB: not masked due to the minimum value set DO ji = 1, jpi DO jk = 1, jpkfm1 ! done each pair of triad #else DO jk = 1, jpkfm1 ! done each pair of triad DO jj = 1, jpj ! NB: not masked due to the minimum value set DO ji = 1, jpi ! vector opt. #endif zdzrho_raw = ( zalpha(ji,jj,jk) * zdkt(ji,jj,jk+kp) + zbeta(ji,jj,jk) * zdks(ji,jj,jk+kp) ) & & / fse3w(ji,jj,jk+kp) zdzrho(ji ,jj ,jk, kp) = - MIN( - repsln, zdzrho_raw ) ! force zdzrho >= repsln END DO END DO END DO END DO ! DO jj = 1, jpj !== Reciprocal depth of the w-point below ML base ==! DO ji = 1, jpi jk = MIN( nmln(ji,jj), mbkt(ji,jj) ) + 1 ! MIN in case ML depth is the ocean depth z1_mlbw(ji,jj) = 1._wp / fsdepw(ji,jj,jk) END DO END DO ! ! !== intialisations to zero ==! ! wslp2 (:,:,:) = 0._wp ! wslp2 will be cumulated 3D field set to zero triadi_g(:,:,1,:,:) = 0._wp ; triadi_g(:,:,jpk,:,:) = 0._wp ! set surface and bottom slope to zero triadj_g(:,:,1,:,:) = 0._wp ; triadj_g(:,:,jpk,:,:) = 0._wp !!gm _iso set to zero missing triadi (:,:,1,:,:) = 0._wp ; triadj (:,:,jpk,:,:) = 0._wp ! set surface and bottom slope to zero triadj (:,:,1,:,:) = 0._wp ; triadj (:,:,jpk,:,:) = 0._wp !-------------------------------------! ! Triads just below the Mixed Layer ! !-------------------------------------! ! DO jl = 0, 1 ! calculate slope of the 4 triads immediately ONE level below mixed-layer base DO kp = 0, 1 ! with only the slope-max limit and MASKED DO jj = 1, jpjm1 DO ji = 1, fs_jpim1 ip = jl ; jp = jl jk = MIN( nmln(ji+ip,jj) , mbkt(ji+ip,jj) ) + 1 ! ML level+1 (MIN in case ML depth is the ocean depth) zti_g_raw = ( zdxrho(ji+ip,jj,jk-kp,1-ip) / zdzrho(ji+ip,jj,jk-kp,kp) & & + ( fsdept(ji+1,jj,jk-kp) - fsdept(ji,jj,jk-kp) ) / e1u(ji,jj) ) * umask(ji,jj,jk) jk = MIN( nmln(ji,jj+jp) , mbkt(ji,jj+jp) ) + 1 ztj_g_raw = ( zdyrho(ji,jj+jp,jk-kp,1-jp) / zdzrho(ji,jj+jp,jk-kp,kp) & & + ( fsdept(ji,jj+1,jk-kp) - fsdept(ji,jj,jk-kp) ) / e2v(ji,jj) ) * vmask(ji,jj,jk) zti_mlb(ji+ip,jj ,1-ip,kp) = SIGN( MIN( rn_slpmax, ABS( zti_g_raw ) ), zti_g_raw ) ztj_mlb(ji ,jj+jp,1-jp,kp) = SIGN( MIN( rn_slpmax, ABS( ztj_g_raw ) ), ztj_g_raw ) END DO END DO END DO END DO !-------------------------------------! ! Triads with surface limits ! !-------------------------------------! ! DO kp = 0, 1 ! k-index of triads DO jl = 0, 1 ip = jl ; jp = jl ! i- and j-indices of triads (i-k and j-k planes) #if defined key_z_first DO jj = 1, jpjm1 DO ji = 1, jpim1 DO jk = 1, jpkfm1 #else DO jk = 1, jpkfm1 DO jj = 1, jpjm1 DO ji = 1, fs_jpim1 ! vector opt. #endif ! ! Calculate slope relative to geopotentials used for GM skew fluxes ! For s-coordinate, subtract slope at t-points (equivalent to *adding* gradient of depth) ! Limit by slope *relative to geopotentials* by rn_slpmax, and mask by psi-point ! masked by umask taken at the level of dz(rho) ! ! raw slopes: unmasked unbounded slopes (relative to geopotential (zti_g) and model surface (zti) ! zti_raw = zdxrho(ji+ip,jj ,jk,1-ip) / zdzrho(ji+ip,jj ,jk,kp) ! unmasked ztj_raw = zdyrho(ji ,jj+jp,jk,1-jp) / zdzrho(ji ,jj+jp,jk,kp) zti_coord = ( fsdept(ji+1,jj ,jk) - fsdept(ji,jj,jk) ) / e1u(ji,jj) ztj_coord = ( fsdept(ji ,jj+1,jk) - fsdept(ji,jj,jk) ) / e2v(ji,jj) ! unmasked zti_g_raw = zti_raw + zti_coord ! ref to geopot surfaces ztj_g_raw = ztj_raw + ztj_coord zti_g_lim = SIGN( MIN( rn_slpmax, ABS( zti_g_raw ) ), zti_g_raw ) ztj_g_lim = SIGN( MIN( rn_slpmax, ABS( ztj_g_raw ) ), ztj_g_raw ) ! ! Below ML use limited zti_g as is ! Inside ML replace by linearly reducing sx_mlb towards surface ! zfacti = REAL( 1 - 1/(1 + (jk+kp-1)/nmln(ji+ip,jj)), wp ) ! k index of uppermost point(s) of triad is jk+kp-1 zfactj = REAL( 1 - 1/(1 + (jk+kp-1)/nmln(ji,jj+jp)), wp ) ! must be .ge. nmln(ji,jj) for zfact=1 ! ! otherwise zfact=0 zti_g_lim = zfacti * zti_g_lim & & + ( 1._wp - zfacti ) * zti_mlb(ji+ip,jj,1-ip,kp) & & * fsdepw(ji+ip,jj,jk+kp) * z1_mlbw(ji+ip,jj) ztj_g_lim = zfactj * ztj_g_lim & & + ( 1._wp - zfactj ) * ztj_mlb(ji,jj+jp,1-jp,kp) & & * fsdepw(ji,jj+jp,jk+kp) * z1_mlbw(ji,jj+jp) ! masked ! triadi_g(ji+ip,jj ,jk,1-ip,kp) = zti_g_lim * umask(ji,jj,jk+kp) triadj_g(ji ,jj+jp,jk,1-jp,kp) = ztj_g_lim * vmask(ji,jj,jk+kp) ! ! Get coefficients of isoneutral diffusion tensor ! 1. Utilise gradients *relative* to s-coordinate, so add t-point slopes (*subtract* depth gradients) ! 2. We require that isoneutral diffusion gives no vertical buoyancy flux ! i.e. 33 term = (real slope* 31, 13 terms) ! To do this, retain limited sx**2 in vertical flux, but divide by real slope for 13/31 terms ! Equivalent to tapering A_iso = sx_limited**2/(real slope)**2 ! zti_lim = zti_g_lim - zti_coord ! remove the coordinate slope ==> relative to coordinate surfaces ztj_lim = ztj_g_lim - ztj_coord zti_lim2 = zti_lim * zti_lim * umask(ji,jj,jk+kp) ! square of limited slopes ! masked <<== ztj_lim2 = ztj_lim * ztj_lim * vmask(ji,jj,jk+kp) ! zbu = e1u(ji ,jj) * e2u(ji ,jj) * fse3u(ji ,jj,jk ) zbv = e1v(ji ,jj) * e2v(ji ,jj) * fse3v(ji ,jj,jk ) zbti = e1t(ji+ip,jj) * e2t(ji+ip,jj) * fse3w(ji+ip,jj,jk+kp) zbtj = e1t(ji,jj+jp) * e2t(ji,jj+jp) * fse3w(ji,jj+jp,jk+kp) ! triadi(ji+ip,jj ,jk,1-ip,kp) = zti_lim2 / zti_raw ! masked triadj(ji ,jj+jp,jk,1-jp,kp) = ztj_lim2 / ztj_raw ! !!gm this may inhibit vectorization on Vect Computers, and even on scalar computers.... ==> to be checked wslp2 (ji+ip,jj,jk+kp) = wslp2(ji+ip,jj,jk+kp) + 0.25_wp * zbu / zbti * zti_lim2 ! masked wslp2 (ji,jj+jp,jk+kp) = wslp2(ji,jj+jp,jk+kp) + 0.25_wp * zbv / zbtj * ztj_lim2 END DO END DO END DO END DO END DO ! wslp2(:,:,1) = 0._wp ! force the surface wslp to zero CALL lbc_lnk( wslp2, 'W', 1. ) ! lateral boundary confition on wslp2 only ==>>> gm : necessary ? to be checked ! IF( wrk_not_released(3, 2,3,4,5) .OR. & wrk_not_released(2, 1) ) CALL ctl_stop('ldf_slp_grif: failed to release workspace arrays') ! END SUBROUTINE ldf_slp_grif !! * Reset control of array index permutation !FTRANS CLEAR # include "ldfslp_ftrans.h90" !FTRANS zdxrho :I :I :z : !FTRANS zdyrho :I :I :z : !FTRANS zdzrho :I :I :z : # include "oce_ftrans.h90" # include "dom_oce_ftrans.h90" # include "ldftra_oce_ftrans.h90" # include "ldfdyn_oce_ftrans.h90" SUBROUTINE ldf_slp_mxl( prd, pn2, p_gru, p_grv, p_dzr ) !!---------------------------------------------------------------------- !! *** ROUTINE ldf_slp_mxl *** !! !! ** Purpose : Compute the slopes of iso-neutral surface just below !! the mixed layer. !! !! ** Method : The slope in the i-direction is computed at u- & w-points !! (uslpml, wslpiml) and the slope in the j-direction is computed !! at v- and w-points (vslpml, wslpjml) with the same bounds as !! in ldf_slp. !! !! ** Action : uslpml, wslpiml : i- & j-slopes of neutral surfaces !! vslpml, wslpjml just below the mixed layer !! omlmask : mixed layer mask !!---------------------------------------------------------------------- !FTRANS prd :I :I :z !FTRANS pn2 :I :I :z !FTRANS p_gru :I :I :z !FTRANS p_grv :I :I :z !FTRANS p_dzr :I :I :z REAL(wp), DIMENSION(:,:,:), INTENT(in) :: prd ! in situ density REAL(wp), DIMENSION(:,:,:), INTENT(in) :: pn2 ! Brunt-Vaisala frequency (locally ref.) REAL(wp), DIMENSION(:,:,:), INTENT(in) :: p_gru, p_grv ! i- & j-gradient of density (u- & v-pts) REAL(wp), DIMENSION(:,:,:), INTENT(in) :: p_dzr ! z-gradient of density (T-point) !! INTEGER :: ji , jj , jk ! dummy loop indices INTEGER :: iku, ikv, ik, ikm1 ! local integers REAL(wp) :: zeps, zm1_g, zm1_2g ! local scalars REAL(wp) :: zci, zfi, zau, zbu, zai, zbi ! - - REAL(wp) :: zcj, zfj, zav, zbv, zaj, zbj ! - - REAL(wp) :: zck, zfk, zbw ! - - !!---------------------------------------------------------------------- zeps = 1.e-20_wp !== Local constant initialization ==! zm1_g = -1.0_wp / grav zm1_2g = -0.5_wp / grav ! uslpml (1,:) = 0._wp ; uslpml (jpi,:) = 0._wp vslpml (1,:) = 0._wp ; vslpml (jpi,:) = 0._wp wslpiml(1,:) = 0._wp ; wslpiml(jpi,:) = 0._wp wslpjml(1,:) = 0._wp ; wslpjml(jpi,:) = 0._wp ! ! !== surface mixed layer mask ! DO jk = 1, jpkf ! =1 inside the mixed layer, =0 otherwise # if ( defined key_vectopt_loop ) && ! ( defined key_z_first ) DO jj = 1, 1 DO ji = 1, jpij ! vector opt. (forced unrolling) # else DO jj = 1, jpj DO ji = 1, jpi # endif ik = nmln(ji,jj) - 1 IF( jk <= ik ) THEN ; omlmask(ji,jj,jk) = 1._wp ELSE ; omlmask(ji,jj,jk) = 0._wp ENDIF END DO END DO END DO ! Slopes of isopycnal surfaces just before bottom of mixed layer ! -------------------------------------------------------------- ! The slope are computed as in the 3D case. ! A key point here is the definition of the mixed layer at u- and v-points. ! It is assumed to be the maximum of the two neighbouring T-point mixed layer depth. ! Otherwise, a n2 value inside the mixed layer can be involved in the computation ! of the slope, resulting in a too steep diagnosed slope and thus a spurious eddy ! induce velocity field near the base of the mixed layer. !----------------------------------------------------------------------- ! # if ( defined key_vectopt_loop ) && ! ( defined key_z_first ) DO jj = 1, 1 DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) # else DO jj = 2, jpjm1 DO ji = 2, jpim1 # endif ! !== Slope at u- & v-points just below the Mixed Layer ==! ! ! !- vertical density gradient for u- and v-slopes (from dzr at T-point) iku = MIN( MAX( 1, nmln(ji,jj) , nmln(ji+1,jj) ) , jpkm1 ) ! ML (MAX of T-pts, bound by jpkm1) ikv = MIN( MAX( 1, nmln(ji,jj) , nmln(ji,jj+1) ) , jpkm1 ) ! zbu = 0.5_wp * ( p_dzr(ji,jj,iku) + p_dzr(ji+1,jj ,iku) ) zbv = 0.5_wp * ( p_dzr(ji,jj,ikv) + p_dzr(ji ,jj+1,ikv) ) ! !- horizontal density gradient at u- & v-points zau = p_gru(ji,jj,iku) / e1u(ji,jj) zav = p_grv(ji,jj,ikv) / e2v(ji,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._wp* ABS( zau ) , -7.e+3_wp/fse3u(ji,jj,iku)* ABS( zau ) ) zbv = MIN( zbv , -100._wp* ABS( zav ) , -7.e+3_wp/fse3v(ji,jj,ikv)* ABS( zav ) ) ! !- Slope at u- & v-points (uslpml, vslpml) uslpml(ji,jj) = zau / ( zbu - zeps ) * umask(ji,jj,iku) vslpml(ji,jj) = zav / ( zbv - zeps ) * vmask(ji,jj,ikv) ! ! !== i- & j-slopes at w-points just below the Mixed Layer ==! ! ik = MIN( nmln(ji,jj) + 1, jpkf ) ikm1 = MAX( 1, ik-1 ) ! !- vertical density gradient for w-slope (from N^2) zbw = zm1_2g * pn2 (ji,jj,ik) * ( prd (ji,jj,ik) + prd (ji,jj,ikm1) + 2. ) ! !- horizontal density i- & j-gradient at w-points zci = MAX( umask(ji-1,jj,ik ) + umask(ji,jj,ik ) & & + umask(ji-1,jj,ikm1) + umask(ji,jj,ikm1) , zeps ) * e1t(ji,jj) zcj = MAX( vmask(ji,jj-1,ik ) + vmask(ji,jj,ik ) & & + vmask(ji,jj-1,ikm1) + vmask(ji,jj,ikm1) , zeps ) * e2t(ji,jj) zai = ( p_gru(ji-1,jj,ik ) + p_gru(ji,jj,ik) & & + p_gru(ji-1,jj,ikm1) + p_gru(ji,jj,ikm1 ) ) / zci * tmask(ji,jj,ik) zaj = ( p_grv(ji,jj-1,ik ) + p_grv(ji,jj,ik ) & & + p_grv(ji,jj-1,ikm1) + p_grv(ji,jj,ikm1) ) / zcj * tmask(ji,jj,ik) ! !- bound the slopes: abs(zw.)<= 1/100 and zb..<0. ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) zbi = MIN( zbw , -100._wp* ABS( zai ) , -7.e+3_wp/fse3w(ji,jj,ik)* ABS( zai ) ) zbj = MIN( zbw , -100._wp* ABS( zaj ) , -7.e+3_wp/fse3w(ji,jj,ik)* ABS( zaj ) ) ! !- i- & j-slope at w-points (wslpiml, wslpjml) wslpiml(ji,jj) = zai / ( zbi - zeps ) * tmask (ji,jj,ik) wslpjml(ji,jj) = zaj / ( zbj - zeps ) * tmask (ji,jj,ik) END DO END DO !!gm this lbc_lnk should be useless.... CALL lbc_lnk( uslpml , 'U', -1. ) ; CALL lbc_lnk( vslpml , 'V', -1. ) ! lateral boundary cond. (sign change) CALL lbc_lnk( wslpiml, 'W', -1. ) ; CALL lbc_lnk( wslpjml, 'W', -1. ) ! lateral boundary conditions ! END SUBROUTINE ldf_slp_mxl !! * Reset control of array index permutation !FTRANS CLEAR # include "ldfslp_ftrans.h90" !FTRANS zdxrho :I :I :z : !FTRANS zdyrho :I :I :z : !FTRANS zdzrho :I :I :z : # include "oce_ftrans.h90" # include "dom_oce_ftrans.h90" # include "ldftra_oce_ftrans.h90" # include "ldfdyn_oce_ftrans.h90" 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) !!---------------------------------------------------------------------- INTEGER :: ji, jj, jk ! dummy loop indices INTEGER :: ierr ! local integer !!---------------------------------------------------------------------- IF(lwp) THEN WRITE(numout,*) WRITE(numout,*) 'ldf_slp_init : direction of lateral mixing' WRITE(numout,*) '~~~~~~~~~~~~' ENDIF IF( ln_traldf_grif ) THEN ! Griffies operator : triad of slopes ALLOCATE(triadi_g(jpi,jpj,jpkorig,0:1,0:1), triadj_g(jpi,jpj,jpkorig,0:1,0:1), & wslp2(jpi,jpj,jpkorig) , STAT=ierr) ALLOCATE(triadi (jpi,jpj,jpkorig,0:1,0:1), triadj (jpi,jpj,jpkorig,0:1,0:1), & STAT=ierr) IF( ierr > 0 ) CALL ctl_stop( 'STOP', 'ldf_slp_init : unable to allocate Griffies operator slope' ) IF( ldf_slp_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'ldf_slp_init : unable to allocate workspace arrays' ) ! IF( ln_dynldf_iso ) CALL ctl_stop( 'ldf_slp_init: Griffies operator on momentum not supported' ) ! IF( ( ln_traldf_hor .OR. ln_dynldf_hor ) .AND. ln_sco ) & CALL ctl_stop( 'ldf_slp_init: horizontal Griffies operator in s-coordinate not supported' ) ! ELSE ! Madec operator : slopes at u-, v-, and w-points ALLOCATE(uslp(jpi,jpj,jpkorig), vslp(jpi,jpj,jpkorig), & wslpi(jpi,jpj,jpkorig), wslpj(jpi,jpj,jpkorig), & omlmask(jpi,jpj,jpkorig), & uslpml(jpi,jpj), vslpml(jpi,jpj), wslpiml(jpi,jpj), wslpjml(jpi,jpj), STAT=ierr) IF( ierr > 0 ) CALL ctl_stop( 'STOP', 'ldf_slp_init : unable to allocate Madec operator slope ' ) ! Direction of lateral diffusion (tracers and/or momentum) ! ------------------------------ uslp (:,:,:) = 0._wp ; uslpml (:,:) = 0._wp ! set the slope to zero (even in s-coordinates) vslp (:,:,:) = 0._wp ; vslpml (:,:) = 0._wp wslpi(:,:,:) = 0._wp ; wslpiml(:,:) = 0._wp wslpj(:,:,:) = 0._wp ; wslpjml(:,:) = 0._wp !!gm I no longer understand this..... IF( (ln_traldf_hor .OR. ln_dynldf_hor) .AND. .NOT. (lk_vvl .AND. ln_rstart) ) THEN IF(lwp) WRITE(numout,*) ' Horizontal mixing in s-coordinate: slope = slope of s-surfaces' ! 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 ) #if defined key_z_first DO jj = 2, jpjm1 DO ji = 2, jpim1 DO jk = 1, jpkf #else DO jk = 1, jpkf DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 ! vector opt. #endif 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 CALL lbc_lnk( uslp , 'U', -1. ) ; CALL lbc_lnk( vslp , 'V', -1. ) ! Lateral boundary conditions CALL lbc_lnk( wslpi, 'W', -1. ) ; CALL lbc_lnk( wslpj, 'W', -1. ) ENDIF 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 SUBROUTINE ldf_slp_grif( kt ) ! Dummy routine INTEGER, INTENT(in) :: kt WRITE(*,*) 'ldf_slp_grif: You should not have seen this print! error?', kt END SUBROUTINE ldf_slp_grif SUBROUTINE ldf_slp_init ! Dummy routine END SUBROUTINE ldf_slp_init #endif !!====================================================================== END MODULE ldfslp