MODULE ldfdyn !!====================================================================== !! *** MODULE ldfdyn *** !! Ocean physics: lateral viscosity coefficient !!===================================================================== !! History : OPA ! 1997-07 (G. Madec) multi dimensional coefficients !! NEMO 1.0 ! 2002-09 (G. Madec) F90: Free form and module !! 3.7 ! 2014-01 (F. Lemarie, G. Madec) restructuration/simplification of ahm specification, !! ! add velocity dependent coefficient and optional read in file !!---------------------------------------------------------------------- !!---------------------------------------------------------------------- !! ldf_dyn_init : initialization, namelist read, and parameters control !! ldf_dyn : update lateral eddy viscosity coefficients at each time step !!---------------------------------------------------------------------- USE oce ! ocean dynamics and tracers USE dom_oce ! ocean space and time domain USE phycst ! physical constants USE ldfc1d_c2d ! lateral diffusion: 1D and 2D cases ! USE in_out_manager ! I/O manager USE iom ! I/O module for ehanced bottom friction file USE timing ! Timing USE lib_mpp ! distribued memory computing library USE lbclnk ! ocean lateral boundary conditions (or mpp link) USE wrk_nemo ! Memory Allocation IMPLICIT NONE PRIVATE PUBLIC ldf_dyn_init ! called by nemogcm.F90 PUBLIC ldf_dyn ! called by step.F90 ! !!* Namelist namdyn_ldf : lateral mixing on momentum * LOGICAL , PUBLIC :: ln_dynldf_lap !: laplacian operator LOGICAL , PUBLIC :: ln_dynldf_blp !: bilaplacian operator LOGICAL , PUBLIC :: ln_dynldf_lev !: iso-level direction LOGICAL , PUBLIC :: ln_dynldf_hor !: horizontal (geopotential) direction LOGICAL , PUBLIC :: ln_dynldf_iso !: iso-neutral direction INTEGER , PUBLIC :: nn_ahm_ijk_t !: choice of time & space variations of the lateral eddy viscosity coef. REAL(wp), PUBLIC :: rn_ahm_0 !: lateral laplacian eddy viscosity [m2/s] REAL(wp), PUBLIC :: rn_ahm_b !: lateral laplacian background eddy viscosity [m2/s] REAL(wp), PUBLIC :: rn_bhm_0 !: lateral bilaplacian eddy viscosity [m4/s] !! If nn_ahm_ijk_t = 32 a time and space varying Smagorinsky viscosity !! will be computed. REAL(wp), PUBLIC :: rn_csmc !: Smagorinsky constant of proportionality REAL(wp), PUBLIC :: rn_minfac !: Multiplicative factor of theorectical minimum Smagorinsky viscosity REAL(wp), PUBLIC :: rn_maxfac !: Multiplicative factor of theorectical maximum Smagorinsky viscosity LOGICAL , PUBLIC :: l_ldfdyn_time !: flag for time variation of the lateral eddy viscosity coef. REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ahmt, ahmf !: eddy diffusivity coef. at U- and V-points [m2/s or m4/s] REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: dtensq !: horizontal tension squared (Smagorinsky only) REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: dshesq !: horizontal shearing strain squared (Smagorinsky only) REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: esqt, esqf !: Square of the local gridscale (e1e2/(e1+e2))**2 REAL(wp) :: r1_12 = 1._wp / 12._wp ! =1/12 REAL(wp) :: r1_4 = 0.25_wp ! =1/4 REAL(wp) :: r1_8 = 0.125_wp ! =1/8 REAL(wp) :: r1_288 = 1._wp / 288._wp ! =1/( 12^2 * 2 ) !! * Substitutions # include "vectopt_loop_substitute.h90" !!---------------------------------------------------------------------- !! NEMO/OPA 3.7 , NEMO Consortium (2014) !! $Id$ !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) !!---------------------------------------------------------------------- CONTAINS SUBROUTINE ldf_dyn_init !!---------------------------------------------------------------------- !! *** ROUTINE ldf_dyn_init *** !! !! ** Purpose : set the horizontal ocean dynamics physics !! !! ** Method : the eddy viscosity coef. specification depends on: !! - the operator: !! ln_dynldf_lap = T laplacian operator !! ln_dynldf_blp = T bilaplacian operator !! - the parameter nn_ahm_ijk_t: !! nn_ahm_ijk_t = 0 => = constant !! = 10 => = F(z) : = constant with a reduction of 1/4 with depth !! =-20 => = F(i,j) = shape read in 'eddy_viscosity.nc' file !! = 20 = F(i,j) = F(e1,e2) or F(e1^3,e2^3) (lap or bilap case) !! =-30 => = F(i,j,k) = shape read in 'eddy_viscosity.nc' file !! = 30 = F(i,j,k) = 2D (case 20) + decrease with depth (case 10) !! = 31 = F(i,j,k,t) = F(local velocity) ( |u|e /12 laplacian operator !! or |u|e^3/12 bilaplacian operator ) !! = 32 = F(i,j,k,t) = F(local deformation rate and gridscale) (D and L) (Smagorinsky) !! ( L^2|D| laplacian operator !! or L^4|D|/8 bilaplacian operator ) !!---------------------------------------------------------------------- INTEGER :: ji, jj, jk ! dummy loop indices INTEGER :: ierr, inum, ios ! local integer REAL(wp) :: zah0 ! local scalar ! NAMELIST/namdyn_ldf/ ln_dynldf_lap, ln_dynldf_blp, & & ln_dynldf_lev, ln_dynldf_hor, ln_dynldf_iso, & & nn_ahm_ijk_t , rn_ahm_0, rn_ahm_b, rn_bhm_0, & & rn_csmc , rn_minfac, rn_maxfac !!---------------------------------------------------------------------- ! REWIND( numnam_ref ) ! Namelist namdyn_ldf in reference namelist : Lateral physics READ ( numnam_ref, namdyn_ldf, IOSTAT = ios, ERR = 901) 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namdyn_ldf in reference namelist', lwp ) REWIND( numnam_cfg ) ! Namelist namdyn_ldf in configuration namelist : Lateral physics READ ( numnam_cfg, namdyn_ldf, IOSTAT = ios, ERR = 902 ) 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namdyn_ldf in configuration namelist', lwp ) IF(lwm) WRITE ( numond, namdyn_ldf ) IF(lwp) THEN ! Parameter print WRITE(numout,*) WRITE(numout,*) 'ldf_dyn : lateral momentum physics' WRITE(numout,*) '~~~~~~~' WRITE(numout,*) ' Namelist namdyn_ldf : set lateral mixing parameters' ! WRITE(numout,*) ' type :' WRITE(numout,*) ' laplacian operator ln_dynldf_lap = ', ln_dynldf_lap WRITE(numout,*) ' bilaplacian operator ln_dynldf_blp = ', ln_dynldf_blp ! WRITE(numout,*) ' direction of action :' WRITE(numout,*) ' iso-level ln_dynldf_lev = ', ln_dynldf_lev WRITE(numout,*) ' horizontal (geopotential) ln_dynldf_hor = ', ln_dynldf_hor WRITE(numout,*) ' iso-neutral ln_dynldf_iso = ', ln_dynldf_iso ! WRITE(numout,*) ' coefficients :' WRITE(numout,*) ' type of time-space variation nn_ahm_ijk_t = ', nn_ahm_ijk_t WRITE(numout,*) ' lateral laplacian eddy viscosity rn_ahm_0 = ', rn_ahm_0, ' m2/s' WRITE(numout,*) ' background viscosity (iso case) rn_ahm_b = ', rn_ahm_b, ' m2/s' WRITE(numout,*) ' lateral bilaplacian eddy viscosity rn_bhm_0 = ', rn_bhm_0, ' m4/s' WRITE(numout,*) ' smagorinsky settings (nn_ahm_ijk_t = 32) :' WRITE(numout,*) ' Smagorinsky coefficient rn_csmc = ', rn_csmc WRITE(numout,*) ' factor multiplier for theorectical lower limit for ' WRITE(numout,*) ' Smagorinsky eddy visc (def. 1.0) rn_minfac = ', rn_minfac WRITE(numout,*) ' factor multiplier for theorectical lower upper for ' WRITE(numout,*) ' Smagorinsky eddy visc (def. 1.0) rn_maxfac = ', rn_maxfac ENDIF ! ! Parameter control IF( .NOT.ln_dynldf_lap .AND. .NOT.ln_dynldf_blp ) THEN IF(lwp) WRITE(numout,*) ' No viscous operator selected. ahmt and ahmf are not allocated' l_ldfdyn_time = .FALSE. RETURN ENDIF ! IF( ln_dynldf_blp .AND. ln_dynldf_iso ) THEN ! iso-neutral bilaplacian not implemented CALL ctl_stop( 'dyn_ldf_init: iso-neutral bilaplacian not coded yet' ) ENDIF ! ... Space/Time variation of eddy coefficients ! ! allocate the ahm arrays ALLOCATE( ahmt(jpi,jpj,jpk) , ahmf(jpi,jpj,jpk) , STAT=ierr ) IF( ierr /= 0 ) CALL ctl_stop( 'STOP', 'ldf_dyn_init: failed to allocate arrays') ! ahmt(:,:,jpk) = 0._wp ! last level always 0 ahmf(:,:,jpk) = 0._wp ! ! ! value of eddy mixing coef. IF ( ln_dynldf_lap ) THEN ; zah0 = rn_ahm_0 ! laplacian operator ELSEIF( ln_dynldf_blp ) THEN ; zah0 = ABS( rn_bhm_0 ) ! bilaplacian operator ELSE ! NO viscous operator CALL ctl_warn( 'ldf_dyn_init: No lateral viscous operator used ' ) ENDIF ! l_ldfdyn_time = .FALSE. ! no time variation except in case defined below ! IF( ln_dynldf_lap .OR. ln_dynldf_blp ) THEN ! only if a lateral diffusion operator is used ! SELECT CASE( nn_ahm_ijk_t ) ! Specification of space time variations of ahmt, ahmf ! CASE( 0 ) !== constant ==! IF(lwp) WRITE(numout,*) ' momentum mixing coef. = constant ' ahmt(:,:,:) = zah0 * tmask(:,:,:) ahmf(:,:,:) = zah0 * fmask(:,:,:) ! CASE( 10 ) !== fixed profile ==! IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F( depth )' ahmt(:,:,1) = zah0 * tmask(:,:,1) ! constant surface value ahmf(:,:,1) = zah0 * fmask(:,:,1) CALL ldf_c1d( 'DYN', r1_4, ahmt(:,:,1), ahmf(:,:,1), ahmt, ahmf ) ! CASE ( -20 ) !== fixed horizontal shape read in file ==! IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F(i,j) read in eddy_viscosity.nc file' CALL iom_open( 'eddy_viscosity_2D.nc', inum ) CALL iom_get ( inum, jpdom_data, 'ahmt_2d', ahmt(:,:,1) ) CALL iom_get ( inum, jpdom_data, 'ahmf_2d', ahmf(:,:,1) ) CALL iom_close( inum ) !!gm Question : info for LAP or BLP case to take into account the SQRT in the bilaplacian case ??? !! do we introduce a scaling by the max value of the array, and then multiply by zah0 ???? !! better: check that the max is <=1 i.e. it is a shape from 0 to 1, not a coef that has physical dimension DO jk = 2, jpkm1 ahmt(:,:,jk) = ahmt(:,:,1) * tmask(:,:,jk) ahmf(:,:,jk) = ahmf(:,:,1) * fmask(:,:,jk) END DO ! CASE( 20 ) !== fixed horizontal shape ==! IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F( e1, e2 ) or F( e1^3, e2^3 ) (lap. or blp. case)' IF( ln_dynldf_lap ) CALL ldf_c2d( 'DYN', 'LAP', zah0, ahmt, ahmf ) ! surface value proportional to scale factor IF( ln_dynldf_blp ) CALL ldf_c2d( 'DYN', 'BLP', zah0, ahmt, ahmf ) ! surface value proportional to scale factor^3 ! CASE( -30 ) !== fixed 3D shape read in file ==! IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F(i,j,k) read in eddy_diffusivity_3D.nc file' CALL iom_open( 'eddy_viscosity_3D.nc', inum ) CALL iom_get ( inum, jpdom_data, 'ahmt_3d', ahmt ) CALL iom_get ( inum, jpdom_data, 'ahmf_3d', ahmf ) CALL iom_close( inum ) !!gm Question : info for LAP or BLP case to take into account the SQRT in the bilaplacian case ???? !! do we introduce a scaling by the max value of the array, and then multiply by zah0 ???? DO jk = 1, jpkm1 ahmt(:,:,jk) = ahmt(:,:,jk) * tmask(:,:,jk) ahmf(:,:,jk) = ahmf(:,:,jk) * fmask(:,:,jk) END DO ! CASE( 30 ) !== fixed 3D shape ==! IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F( latitude, longitude, depth )' IF( ln_dynldf_lap ) CALL ldf_c2d( 'DYN', 'LAP', zah0, ahmt, ahmf ) ! surface value proportional to scale factor IF( ln_dynldf_blp ) CALL ldf_c2d( 'DYN', 'BLP', zah0, ahmt, ahmf ) ! surface value proportional to scale factor ! ! reduction with depth CALL ldf_c1d( 'DYN', r1_4, ahmt(:,:,1), ahmf(:,:,1), ahmt, ahmf ) ! CASE( 31 ) !== time varying 3D field ==! IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F( latitude, longitude, depth , time )' IF(lwp) WRITE(numout,*) ' proportional to the velocity : |u|e/12 or |u|e^3/12' ! l_ldfdyn_time = .TRUE. ! will be calculated by call to ldf_dyn routine in step.F90 ! CASE( 32 ) !== time varying 3D field ==! IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F( latitude, longitude, depth , time )' IF(lwp) WRITE(numout,*) ' proportional to the local deformation rate and gridscale (Smagorinsky)' IF(lwp) WRITE(numout,*) ' : L^2|D| or L^4|D|/8' ! l_ldfdyn_time = .TRUE. ! will be calculated by call to ldf_dyn routine in step.F90 ! ! allocate arrays used in ldf_dyn. ALLOCATE( dtensq(jpi,jpj) , dshesq(jpi,jpj) , esqt(jpi,jpj) , esqf(jpi,jpj) , STAT=ierr ) IF( ierr /= 0 ) CALL ctl_stop( 'STOP', 'ldf_dyn_init: failed to allocate Smagorinsky arrays') ! ! Set local gridscale values DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 esqt(ji,jj) = ( e1e2t(ji,jj) /( e1t(ji,jj) + e2t(ji,jj) ) )**2 esqf(ji,jj) = ( e1e2f(ji,jj) /( e1f(ji,jj) + e2f(ji,jj) ) )**2 END DO END DO ! CASE DEFAULT CALL ctl_stop('ldf_dyn_init: wrong choice for nn_ahm_ijk_t, the type of space-time variation of ahm') END SELECT ! IF( ln_dynldf_blp .AND. .NOT. l_ldfdyn_time ) THEN ! bilapcian and no time variation: ahmt(:,:,:) = SQRT( ahmt(:,:,:) ) ! take the square root of the coefficient ahmf(:,:,:) = SQRT( ahmf(:,:,:) ) ENDIF ! ENDIF ! END SUBROUTINE ldf_dyn_init SUBROUTINE ldf_dyn( kt ) !!---------------------------------------------------------------------- !! *** ROUTINE ldf_dyn *** !! !! ** Purpose : update at kt the momentum lateral mixing coeff. (ahmt and ahmf) !! !! ** Method : time varying eddy viscosity coefficients: !! !! nn_ahm_ijk_t = 31 ahmt, ahmf = F(i,j,k,t) = F(local velocity) !! ( |u|e /12 or |u|e^3/12 for laplacian or bilaplacian operator ) !! !! nn_ahm_ijk_t = 32 ahmt, ahmf = F(i,j,k,t) = F(local deformation rate and gridscale) (D and L) (Smagorinsky) !! ( L^2|D| or L^4|D|/8 for laplacian or bilaplacian operator ) !! !! ** note : in BLP cases the sqrt of the eddy coef is returned, since bilaplacian is en re-entrant laplacian !! ** action : ahmt, ahmf updated at each time step !!---------------------------------------------------------------------- INTEGER, INTENT(in) :: kt ! time step index ! INTEGER :: ji, jj, jk ! dummy loop indices REAL(wp) :: zu2pv2_ij_p1, zu2pv2_ij, zu2pv2_ij_m1, zetmax, zefmax ! local scalar REAL(wp) :: zcmsmag, zstabf_lo, zstabf_up, zdelta, zdb ! local scalar !!---------------------------------------------------------------------- ! IF( nn_timing == 1 ) CALL timing_start('ldf_dyn') ! SELECT CASE( nn_ahm_ijk_t ) !== Eddy vicosity coefficients ==! ! CASE( 31 ) !== time varying 3D field ==! = F( local velocity ) ! IF( ln_dynldf_lap ) THEN ! laplacian operator : |u| e /12 = |u/144| e DO jk = 1, jpkm1 DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 zu2pv2_ij_p1 = ub(ji ,jj+1,jk) * ub(ji ,jj+1,jk) + vb(ji+1,jj ,jk) * vb(ji+1,jj ,jk) zu2pv2_ij = ub(ji ,jj ,jk) * ub(ji ,jj ,jk) + vb(ji ,jj ,jk) * vb(ji ,jj ,jk) zu2pv2_ij_m1 = ub(ji-1,jj ,jk) * ub(ji-1,jj ,jk) + vb(ji ,jj-1,jk) * vb(ji ,jj-1,jk) zetmax = MAX( e1t(ji,jj) , e2t(ji,jj) ) zefmax = MAX( e1f(ji,jj) , e2f(ji,jj) ) ahmt(ji,jj,jk) = SQRT( (zu2pv2_ij + zu2pv2_ij_m1) * r1_288 ) * zetmax * tmask(ji,jj,jk) ! 288= 12*12 * 2 ahmf(ji,jj,jk) = SQRT( (zu2pv2_ij + zu2pv2_ij_p1) * r1_288 ) * zefmax * fmask(ji,jj,jk) END DO END DO END DO ELSEIF( ln_dynldf_blp ) THEN ! bilaplacian operator : sqrt( |u| e^3 /12 ) = sqrt( |u/144| e ) * e DO jk = 1, jpkm1 DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 zu2pv2_ij_p1 = ub(ji ,jj+1,jk) * ub(ji ,jj+1,jk) + vb(ji+1,jj ,jk) * vb(ji+1,jj ,jk) zu2pv2_ij = ub(ji ,jj ,jk) * ub(ji ,jj ,jk) + vb(ji ,jj ,jk) * vb(ji ,jj ,jk) zu2pv2_ij_m1 = ub(ji-1,jj ,jk) * ub(ji-1,jj ,jk) + vb(ji ,jj-1,jk) * vb(ji ,jj-1,jk) zetmax = MAX( e1t(ji,jj) , e2t(ji,jj) ) zefmax = MAX( e1f(ji,jj) , e2f(ji,jj) ) ahmt(ji,jj,jk) = SQRT( SQRT( (zu2pv2_ij + zu2pv2_ij_m1) * r1_288 ) * zetmax ) * zetmax * tmask(ji,jj,jk) ahmf(ji,jj,jk) = SQRT( SQRT( (zu2pv2_ij + zu2pv2_ij_p1) * r1_288 ) * zefmax ) * zefmax * fmask(ji,jj,jk) END DO END DO END DO ENDIF ! CALL lbc_lnk( ahmt, 'T', 1. ) ; CALL lbc_lnk( ahmf, 'F', 1. ) ! ! CASE( 32 ) !== time varying 3D field ==! = F( local deformation rate and gridscale ) (Smagorinsky) ! IF( ln_dynldf_lap .OR. ln_dynldf_blp ) THEN ! laplacian operator : (C_smag/pi)^2 L^2 |D| ! zcmsmag = (rn_csmc/rpi)**2 ! (C_smag/pi)^2 zstabf_lo = rn_minfac * rn_minfac / ( 2._wp * 4._wp * zcmsmag ) ! lower limit stability factor scaling zstabf_up = rn_maxfac / ( 4._wp * zcmsmag * 2._wp * rdt ) ! upper limit stability factor scaling IF( ln_dynldf_blp ) zstabf_lo = ( 16._wp / 9._wp ) * zstabf_lo ! provide |U|L^3/12 lower limit instead ! ! of |U|L^3/16 in blp case DO jk = 1, jpkm1 ! DO jj = 2, jpj DO ji = 2, jpi zdb = ( ( ub(ji,jj,jk) * r1_e2u(ji,jj) - ub(ji-1,jj,jk) * r1_e2u(ji-1,jj) ) & & * r1_e1t(ji,jj) * e2t(ji,jj) & & - ( vb(ji,jj,jk) * r1_e1v(ji,jj) - vb(ji,jj-1,jk) * r1_e1v(ji,jj-1) ) & & * r1_e2t(ji,jj) * e1t(ji,jj) ) * tmask(ji,jj,jk) dtensq(ji,jj) = zdb*zdb END DO END DO ! DO jj = 1, jpjm1 DO ji = 1, jpim1 zdb = ( ( ub(ji,jj+1,jk) * r1_e1u(ji,jj+1) - ub(ji,jj,jk) * r1_e1u(ji,jj) ) & & * r1_e2f(ji,jj) * e1f(ji,jj) & & + ( vb(ji+1,jj,jk) * r1_e2v(ji+1,jj) - vb(ji,jj,jk) * r1_e2v(ji,jj) ) & & * r1_e1f(ji,jj) * e2f(ji,jj) ) * fmask(ji,jj,jk) dshesq(ji,jj) = zdb*zdb END DO END DO ! DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 ! zu2pv2_ij_p1 = ub(ji ,jj+1,jk) * ub(ji ,jj+1,jk) + vb(ji+1,jj ,jk) * vb(ji+1,jj ,jk) zu2pv2_ij = ub(ji ,jj ,jk) * ub(ji ,jj ,jk) + vb(ji ,jj ,jk) * vb(ji ,jj ,jk) zu2pv2_ij_m1 = ub(ji-1,jj ,jk) * ub(ji-1,jj ,jk) + vb(ji ,jj-1,jk) * vb(ji ,jj-1,jk) ! T-point value zdelta = zcmsmag * esqt(ji,jj) ! L^2 * (C_smag/pi)^2 ahmt(ji,jj,jk) = zdelta * sqrt( dtensq(ji,jj) + & & r1_4 * ( dshesq(ji,jj) + dshesq(ji,jj-1) + & & dshesq(ji-1,jj) + dshesq(ji-1,jj-1) ) ) ahmt(ji,jj,jk) = MAX( ahmt(ji,jj,jk), & & SQRT( (zu2pv2_ij + zu2pv2_ij_m1) * zdelta * zstabf_lo ) ) ! Impose lower limit == minfac * |U|L/2 ahmt(ji,jj,jk) = MIN( ahmt(ji,jj,jk), zdelta * zstabf_up ) ! Impose upper limit == maxfac * L^2/(4*2dt) ! F-point value zdelta = zcmsmag * esqf(ji,jj) ! L^2 * (C_smag/pi)^2 ahmf(ji,jj,jk) = zdelta * sqrt( dshesq(ji,jj) + & & r1_4 * ( dtensq(ji,jj) + dtensq(ji,jj+1) + & & dtensq(ji+1,jj) + dtensq(ji+1,jj+1) ) ) ahmf(ji,jj,jk) = MAX( ahmf(ji,jj,jk), & & SQRT( (zu2pv2_ij + zu2pv2_ij_p1) * zdelta * zstabf_lo ) ) ! Impose lower limit == minfac * |U|L/2 ahmf(ji,jj,jk) = MIN( ahmf(ji,jj,jk), zdelta * zstabf_up ) ! Impose upper limit == maxfac * L^2/(4*2dt) ! END DO END DO END DO ! ENDIF ! IF( ln_dynldf_blp ) THEN ! bilaplacian operator : sqrt( (C_smag/pi)^2 L^4 |D|/8) ! = sqrt( A_lap_smag L^2/8 ) ! stability limits already applied to laplacian values ! effective default limits are |U|L^3/12 < B_hm < L^4/(32*2dt) ! DO jk = 1, jpkm1 ! DO jj = 2, jpjm1 DO ji = fs_2, fs_jpim1 ! ahmt(ji,jj,jk) = sqrt( r1_8 * esqt(ji,jj) * ahmt(ji,jj,jk) ) ahmf(ji,jj,jk) = sqrt( r1_8 * esqf(ji,jj) * ahmf(ji,jj,jk) ) ! END DO END DO END DO ! ENDIF ! CALL lbc_lnk( ahmt, 'T', 1. ) ; CALL lbc_lnk( ahmf, 'F', 1. ) ! END SELECT ! CALL iom_put( "ahmt_2d", ahmt(:,:,1) ) ! surface u-eddy diffusivity coeff. CALL iom_put( "ahmf_2d", ahmf(:,:,1) ) ! surface v-eddy diffusivity coeff. CALL iom_put( "ahmt_3d", ahmt(:,:,:) ) ! 3D u-eddy diffusivity coeff. CALL iom_put( "ahmf_3d", ahmf(:,:,:) ) ! 3D v-eddy diffusivity coeff. ! IF( nn_timing == 1 ) CALL timing_stop('ldf_dyn') ! END SUBROUTINE ldf_dyn !!====================================================================== END MODULE ldfdyn