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zb_coup(:,:) = 0.0_wp
!
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
IF ( l_conv(ji,jj) ) THEN
!
zvel_sc_pyc = ( 0.15_wp * svstr(ji,jj)**3 + swstrc(ji,jj)**3 + 4.25_wp * pshear(ji,jj) * phbl(ji,jj) )**pthird
zvel_sc_ml = ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird
zstab_fac = ( phml(ji,jj) / zvel_sc_ml * &
& ( 1.4_wp - 0.4_wp / ( 1.0_wp + EXP(-3.5_wp * LOG10( -1.0_wp * shol(ji,jj) ) ) )**1.25_wp ) )**2
!
zdifml_sc(ji,jj) = pp_dif_ml * phml(ji,jj) * zvel_sc_ml
zvisml_sc(ji,jj) = pp_vis_ml * zdifml_sc(ji,jj)
!
IF ( l_pyc(ji,jj) ) THEN
zdifpyc_n_sc(ji,jj) = pp_dif_pyc * zvel_sc_ml * pdh(ji,jj)
zvispyc_n_sc(ji,jj) = 0.09_wp * zvel_sc_pyc * ( 1.0_wp - phbl(ji,jj) / pdh(ji,jj) )**2 * &
& ( 0.005_wp * ( av_u_ml(ji,jj) - av_u_bl(ji,jj) )**2 + &
& 0.0075_wp * ( av_v_ml(ji,jj) - av_v_bl(ji,jj) )**2 ) / &
& pdh(ji,jj)
zvispyc_n_sc(ji,jj) = pp_vis_pyc * zvel_sc_ml * pdh(ji,jj) + zvispyc_n_sc(ji,jj) * zstab_fac
!
IF ( l_shear(ji,jj) .AND. n_ddh(ji,jj) /= 2 ) THEN
ztmp = pp_vispyc_shr * ( pshear(ji,jj) * phbl(ji,jj) )**pthird * phbl(ji,jj)
zdifpyc_n_sc(ji,jj) = zdifpyc_n_sc(ji,jj) + ztmp
zvispyc_n_sc(ji,jj) = zvispyc_n_sc(ji,jj) + ztmp
ENDIF
!
zdifpyc_s_sc(ji,jj) = pwb_ent(ji,jj) + 0.0025_wp * zvel_sc_pyc * ( phbl(ji,jj) / pdh(ji,jj) - 1.0_wp ) * &
& ( av_b_ml(ji,jj) - av_b_bl(ji,jj) )
zvispyc_s_sc(ji,jj) = 0.09_wp * ( pwb_min(ji,jj) + 0.0025_wp * zvel_sc_pyc * &
& ( phbl(ji,jj) / pdh(ji,jj) - 1.0_wp ) * &
& ( av_b_ml(ji,jj) - av_b_bl(ji,jj) ) )
zdifpyc_s_sc(ji,jj) = 0.09_wp * zdifpyc_s_sc(ji,jj) * zstab_fac
zvispyc_s_sc(ji,jj) = zvispyc_s_sc(ji,jj) * zstab_fac
!
zdifpyc_s_sc(ji,jj) = MAX( zdifpyc_s_sc(ji,jj), -0.5_wp * zdifpyc_n_sc(ji,jj) )
zvispyc_s_sc(ji,jj) = MAX( zvispyc_s_sc(ji,jj), -0.5_wp * zvispyc_n_sc(ji,jj) )
zbeta_d_sc(ji,jj) = 1.0_wp - ( ( zdifpyc_n_sc(ji,jj) + 1.4_wp * zdifpyc_s_sc(ji,jj) ) / &
& ( zdifml_sc(ji,jj) + epsln ) )**p2third
zbeta_v_sc(ji,jj) = 1.0_wp - 2.0_wp * ( zvispyc_n_sc(ji,jj) + zvispyc_s_sc(ji,jj) ) / ( zvisml_sc(ji,jj) + epsln )
ELSE
zdifpyc_n_sc(ji,jj) = pp_dif_pyc * zvel_sc_ml * pdh(ji,jj) ! ag 19/03
zdifpyc_s_sc(ji,jj) = 0.0_wp ! ag 19/03
zvispyc_n_sc(ji,jj) = pp_vis_pyc * zvel_sc_ml * pdh(ji,jj) ! ag 19/03
zvispyc_s_sc(ji,jj) = 0.0_wp ! ag 19/03
IF(l_coup(ji,jj) ) THEN ! ag 19/03
! code from SUBROUTINE tke_tke zdftke.F90; uses bottom drag velocity rCdU_bot(ji,jj) = -Cd|ub|
! already calculated at T-points in SUBROUTINE zdf_drg from zdfdrg.F90
! Gives friction velocity sqrt bottom drag/rho_0 i.e. u* = SQRT(rCdU_bot*ub)
! wet-cell averaging ..
zmsku = 0.5_wp * ( 2.0_wp - umask(ji-1,jj,mbkt(ji,jj)) * umask(ji,jj,mbkt(ji,jj)) )
zmskv = 0.5_wp * ( 2.0_wp - vmask(ji,jj-1,mbkt(ji,jj)) * vmask(ji,jj,mbkt(ji,jj)) )
zb_coup(ji,jj) = 0.4_wp * SQRT(-1.0_wp * rCdU_bot(ji,jj) * &
& SQRT( ( zmsku*( uu(ji,jj,mbkt(ji,jj),Kbb)+uu(ji-1,jj,mbkt(ji,jj),Kbb) ) )**2 &
& + ( zmskv*( vv(ji,jj,mbkt(ji,jj),Kbb)+vv(ji,jj-1,mbkt(ji,jj),Kbb) ) )**2 ) )
zz_b = -1.0_wp * gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) ! ag 19/03
zc_coup_vis(ji,jj) = -0.5_wp * ( 0.5_wp * zvisml_sc(ji,jj) / phml(ji,jj) - zb_coup(ji,jj) ) / &
& ( phml(ji,jj) + zz_b ) ! ag 19/03
zz_b = -1.0_wp * phml(ji,jj) + gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) ! ag 19/03
zbeta_v_sc(ji,jj) = 1.0_wp - 2.0_wp * ( zb_coup(ji,jj) * zz_b + zc_coup_vis(ji,jj) * zz_b**2 ) / &
& zvisml_sc(ji,jj) ! ag 19/03
zbeta_d_sc(ji,jj) = 1.0_wp - ( ( zb_coup(ji,jj) * zz_b + zc_coup_vis(ji,jj) * zz_b**2 ) / &
& zdifml_sc(ji,jj) )**p2third
zc_coup_dif(ji,jj) = 0.5_wp * ( -zdifml_sc(ji,jj) / phml(ji,jj) * ( 1.0_wp - zbeta_d_sc(ji,jj) )**1.5_wp + &
& 1.5_wp * ( zdifml_sc(ji,jj) / phml(ji,jj) ) * zbeta_d_sc(ji,jj) * &
& SQRT( 1.0_wp - zbeta_d_sc(ji,jj) ) - zb_coup(ji,jj) ) / zz_b ! ag 19/03
ELSE ! ag 19/03
zbeta_d_sc(ji,jj) = 1.0_wp - ( ( zdifpyc_n_sc(ji,jj) + 1.4_wp * zdifpyc_s_sc(ji,jj) ) / &
& ( zdifml_sc(ji,jj) + epsln ) )**p2third ! ag 19/03
zbeta_v_sc(ji,jj) = 1.0_wp - 2.0_wp * ( zvispyc_n_sc(ji,jj) + zvispyc_s_sc(ji,jj) ) / &
& ( zvisml_sc(ji,jj) + epsln ) ! ag 19/03
ENDIF ! ag 19/03
ENDIF ! ag 19/03
ELSE
zdifml_sc(ji,jj) = svstr(ji,jj) * phbl(ji,jj) * MAX( EXP ( -1.0_wp * ( shol(ji,jj) / 0.6_wp )**2 ), 0.2_wp)
zvisml_sc(ji,jj) = zdifml_sc(ji,jj)
END IF
END_2D
!
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
IF ( l_conv(ji,jj) ) THEN
DO jk = 2, nmld(ji,jj) ! Mixed layer diffusivity
zznd_ml = gdepw(ji,jj,jk,Kmm) / phml(ji,jj)
pdiffut(ji,jj,jk) = zdifml_sc(ji,jj) * zznd_ml * ( 1.0_wp - zbeta_d_sc(ji,jj) * zznd_ml )**1.5
pviscos(ji,jj,jk) = zvisml_sc(ji,jj) * zznd_ml * ( 1.0_wp - zbeta_v_sc(ji,jj) * zznd_ml ) * &
& ( 1.0_wp - 0.5_wp * zznd_ml**2 )
END DO
!
! Coupling to bottom
!
IF ( l_coup(ji,jj) ) THEN ! ag 19/03
DO jk = mbkt(ji,jj), nmld(ji,jj), -1 ! ag 19/03
zz_b = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) ) ! ag 19/03
pviscos(ji,jj,jk) = zb_coup(ji,jj) * zz_b + zc_coup_vis(ji,jj) * zz_b**2 ! ag 19/03
pdiffut(ji,jj,jk) = zb_coup(ji,jj) * zz_b + zc_coup_dif(ji,jj) * zz_b**2 ! ag 19/03
END DO ! ag 19/03
ENDIF ! ag 19/03
! Pycnocline
IF ( l_pyc(ji,jj) ) THEN
! Diffusivity and viscosity profiles in the pycnocline given by
! cubic polynomial. Note, if l_pyc TRUE can't be coupled to seabed.
za_cubic = 0.5_wp
zb_d_cubic = -1.75_wp * zdifpyc_s_sc(ji,jj) / zdifpyc_n_sc(ji,jj)
zd_d_cubic = ( pdh(ji,jj) * zdifml_sc(ji,jj) / phml(ji,jj) * SQRT( 1.0_wp - zbeta_d_sc(ji,jj) ) * &
& ( 2.5_wp * zbeta_d_sc(ji,jj) - 1.0_wp ) - 0.85_wp * zdifpyc_s_sc(ji,jj) ) / &
& MAX( zdifpyc_n_sc(ji,jj), 1.0e-8_wp )
zd_d_cubic = zd_d_cubic - zb_d_cubic - 2.0_wp * ( 1.0_wp - za_cubic - zb_d_cubic )
zc_d_cubic = 1.0_wp - za_cubic - zb_d_cubic - zd_d_cubic
zb_v_cubic = -1.75_wp * zvispyc_s_sc(ji,jj) / zvispyc_n_sc(ji,jj)
zd_v_cubic = ( 0.5_wp * zvisml_sc(ji,jj) * pdh(ji,jj) / phml(ji,jj) - 0.85_wp * zvispyc_s_sc(ji,jj) ) / &
& MAX( zvispyc_n_sc(ji,jj), 1.0e-8_wp )
zd_v_cubic = zd_v_cubic - zb_v_cubic - 2.0_wp * ( 1.0_wp - za_cubic - zb_v_cubic )
zc_v_cubic = 1.0_wp - za_cubic - zb_v_cubic - zd_v_cubic
DO jk = nmld(ji,jj) , nbld(ji,jj)
zznd_pyc = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / MAX(pdh(ji,jj), 1.0e-6_wp )
ztmp = ( 1.75_wp * zznd_pyc - 0.15_wp * zznd_pyc**2 - 0.2_wp * zznd_pyc**3 )
!
pdiffut(ji,jj,jk) = zdifpyc_n_sc(ji,jj) * &
& ( za_cubic + zb_d_cubic * zznd_pyc + zc_d_cubic * zznd_pyc**2 + zd_d_cubic * zznd_pyc**3 )
!
pdiffut(ji,jj,jk) = pdiffut(ji,jj,jk) + zdifpyc_s_sc(ji,jj) * ztmp
pviscos(ji,jj,jk) = zvispyc_n_sc(ji,jj) * &
& ( za_cubic + zb_v_cubic * zznd_pyc + zc_v_cubic * zznd_pyc**2 + zd_v_cubic * zznd_pyc**3 )
pviscos(ji,jj,jk) = pviscos(ji,jj,jk) + zvispyc_s_sc(ji,jj) * ztmp
END DO
! IF ( pdhdt(ji,jj) > 0._wp ) THEN
! zdiffut(ji,jj,nbld(ji,jj)+1) = MAX( 0.5 * pdhdt(ji,jj) * e3w(ji,jj,nbld(ji,jj)+1,Kmm), 1.0e-6 )
! zviscos(ji,jj,nbld(ji,jj)+1) = MAX( 0.5 * pdhdt(ji,jj) * e3w(ji,jj,nbld(ji,jj)+1,Kmm), 1.0e-6 )
! ELSE
! zdiffut(ji,jj,nbld(ji,jj)) = 0._wp
! zviscos(ji,jj,nbld(ji,jj)) = 0._wp
! ENDIF
ENDIF
ELSE
! Stable conditions
DO jk = 2, nbld(ji,jj)
zznd_ml = gdepw(ji,jj,jk,Kmm) / phbl(ji,jj)
pdiffut(ji,jj,jk) = 0.75_wp * zdifml_sc(ji,jj) * zznd_ml * ( 1.0_wp - zznd_ml )**1.5_wp
pviscos(ji,jj,jk) = 0.375_wp * zvisml_sc(ji,jj) * zznd_ml * ( 1.0_wp - zznd_ml ) * ( 1.0_wp - zznd_ml**2 )
END DO
!
IF ( pdhdt(ji,jj) > 0.0_wp ) THEN
pdiffut(ji,jj,nbld(ji,jj)) = MAX( pdhdt(ji,jj), 1.0e-6_wp) * e3w(ji, jj, nbld(ji,jj), Kmm)
pviscos(ji,jj,nbld(ji,jj)) = pdiffut(ji,jj,nbld(ji,jj))
ENDIF
ENDIF ! End if ( l_conv )
!
END_2D
CALL zdf_osm_iomput( "pb_coup", tmask(A2D(0),1) * zb_coup(A2D(0)) ) ! BBL-coupling velocity scale
!
END SUBROUTINE zdf_osm_diffusivity_viscosity
SUBROUTINE zdf_osm_fgr_terms( Kmm, kp_ext, phbl, phml, pdh, &
& pdhdt, pshear, pdtdz_bl_ext, pdsdz_bl_ext, pdbdz_bl_ext, &
& pdiffut, pviscos )
!!---------------------------------------------------------------------
!! *** ROUTINE zdf_osm_fgr_terms ***
!!
!! ** Purpose : Compute non-gradient terms in flux-gradient relationship
!!
!! ** Method :
!!
!!----------------------------------------------------------------------
INTEGER, INTENT(in ) :: Kmm ! Time-level index
INTEGER, DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: kp_ext ! Offset for external level
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phbl ! BL depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phml ! ML depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdh ! Pycnocline depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdhdt ! BL depth tendency
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pshear ! Shear production
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdtdz_bl_ext ! External temperature gradients
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdsdz_bl_ext ! External salinity gradients
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdbdz_bl_ext ! External buoyancy gradients
REAL(wp), DIMENSION(A2D(nn_hls-1),jpk), INTENT(in ) :: pdiffut ! t-diffusivity
REAL(wp), DIMENSION(A2D(nn_hls-1),jpk), INTENT(in ) :: pviscos ! Viscosity
!!
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zalpha_pyc !
REAL(wp), DIMENSION(A2D(nn_hls-1),jpk) :: zdbdz_pyc ! Parametrised gradient of buoyancy in the pycnocline
REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: z3ddz_pyc_1, z3ddz_pyc_2 ! Pycnocline gradient/shear profiles
!!
INTEGER :: ji, jj, jk, jkm_bld, jkf_mld, jkm_mld ! Loop indices
INTEGER :: istat ! Memory allocation status
REAL(wp) :: zznd_d, zznd_ml, zznd_pyc, znd ! Temporary non-dimensional depths
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zsc_wth_1,zsc_ws_1 ! Temporary scales
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zsc_uw_1, zsc_uw_2 ! Temporary scales
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zsc_vw_1, zsc_vw_2 ! Temporary scales
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: ztau_sc_u ! Dissipation timescale at base of WML
REAL(wp) :: zbuoy_pyc_sc, zdelta_pyc !
REAL(wp) :: zl_c,zl_l,zl_eps ! Used to calculate turbulence length scale
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: za_cubic, zb_cubic ! Coefficients in cubic polynomial specifying
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zc_cubic, zd_cubic ! diffusivity in pycnocline
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zwt_pyc_sc_1, zws_pyc_sc_1 !
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zzeta_pyc !
REAL(wp) :: zomega, zvw_max !
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zuw_bse,zvw_bse ! Momentum, heat, and salinity fluxes
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zwth_ent,zws_ent ! at the top of the pycnocline
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zsc_wth_pyc, zsc_ws_pyc ! Scales for pycnocline transport term
REAL(wp) :: ztmp !
REAL(wp) :: ztgrad, zsgrad, zbgrad ! Variables used to calculate pycnocline
!! ! gradients
REAL(wp) :: zugrad, zvgrad ! Variables for calculating pycnocline shear
REAL(wp) :: zdtdz_pyc ! Parametrized gradient of temperature in
!! ! pycnocline
REAL(wp) :: zdsdz_pyc ! Parametrised gradient of salinity in
!! ! pycnocline
REAL(wp) :: zdudz_pyc ! u-shear across the pycnocline
REAL(wp) :: zdvdz_pyc ! v-shear across the pycnocline
!!----------------------------------------------------------------------
!
!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
! Pycnocline gradients for scalars and velocity
!<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
CALL zdf_osm_pycnocline_buoyancy_profiles( Kmm, kp_ext, zdbdz_pyc, zalpha_pyc, pdh, &
& phbl, pdbdz_bl_ext, phml, pdhdt )
!
! Auxiliary indices
! -----------------
jkm_bld = 0
jkf_mld = jpk
jkm_mld = 0
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
IF ( nbld(ji,jj) > jkm_bld ) jkm_bld = nbld(ji,jj)
IF ( nmld(ji,jj) < jkf_mld ) jkf_mld = nmld(ji,jj)
IF ( nmld(ji,jj) > jkm_mld ) jkm_mld = nmld(ji,jj)
END_2D
!
! Stokes term in scalar flux, flux-gradient relationship
! ------------------------------------------------------
WHERE ( l_conv(A2D(nn_hls-1)) )
zsc_wth_1(:,:) = swstrl(A2D(nn_hls-1))**3 * swth0(A2D(nn_hls-1)) / &
& ( svstr(A2D(nn_hls-1))**3 + 0.5_wp * swstrc(A2D(nn_hls-1))**3 + epsln )
zsc_ws_1(:,:) = swstrl(A2D(nn_hls-1))**3 * sws0(A2D(nn_hls-1)) / &
& ( svstr(A2D(nn_hls-1))**3 + 0.5_wp * swstrc(A2D(nn_hls-1))**3 + epsln )
ELSEWHERE
zsc_wth_1(:,:) = 2.0_wp * swthav(A2D(nn_hls-1))
zsc_ws_1(:,:) = 2.0_wp * swsav(A2D(nn_hls-1))
ENDWHERE
DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, MAX( jkm_mld, jkm_bld ) )
IF ( l_conv(ji,jj) ) THEN
IF ( jk <= nmld(ji,jj) ) THEN
zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj)
ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 1.35_wp * EXP( -1.0_wp * zznd_d ) * &
& ( 1.0_wp - EXP( -2.0_wp * zznd_d ) ) * zsc_wth_1(ji,jj)
ghams(ji,jj,jk) = ghams(ji,jj,jk) + 1.35_wp * EXP( -1.0_wp * zznd_d ) * &
& ( 1.0_wp - EXP( -2.0_wp * zznd_d ) ) * zsc_ws_1(ji,jj)
END IF
ELSE ! Stable conditions
IF ( jk <= nbld(ji,jj) ) THEN
zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj)
ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 2.15_wp * EXP( -0.85_wp * zznd_d ) * &
& ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) * zsc_wth_1(ji,jj)
ghams(ji,jj,jk) = ghams(ji,jj,jk) + 2.15_wp * EXP( -0.85_wp * zznd_d ) * &
& ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) * zsc_ws_1(ji,jj)
END IF
END IF ! Check on l_conv
END_3D
!
IF ( ln_dia_osm ) THEN
CALL zdf_osm_iomput( "ghamu_00", wmask(A2D(0),:) * ghamu(A2D(0),:) )
CALL zdf_osm_iomput( "ghamv_00", wmask(A2D(0),:) * ghamv(A2D(0),:) )
END IF
!
! Stokes term in flux-gradient relationship (note in zsc_uw_n don't use
! svstr since term needs to go to zero as swstrl goes to zero)
! ---------------------------------------------------------------------
WHERE ( l_conv(A2D(nn_hls-1)) )
zsc_uw_1(:,:) = ( swstrl(A2D(nn_hls-1))**3 + &
& 0.5_wp * swstrc(A2D(nn_hls-1))**3 )**pthird * sustke(A2D(nn_hls-1)) / &
& MAX( ( 1.0_wp - 1.0_wp * 6.5_wp * sla(A2D(nn_hls-1))**( 8.0_wp / 3.0_wp ) ), 0.2_wp )
zsc_uw_2(:,:) = ( swstrl(A2D(nn_hls-1))**3 + &
& 0.5_wp * swstrc(A2D(nn_hls-1))**3 )**pthird * sustke(A2D(nn_hls-1)) / &
& MIN( sla(A2D(nn_hls-1))**( 8.0_wp / 3.0_wp ) + epsln, 0.12_wp )
zsc_vw_1(:,:) = ff_t(A2D(nn_hls-1)) * phml(A2D(nn_hls-1)) * sustke(A2D(nn_hls-1))**3 * &
& MIN( sla(A2D(nn_hls-1))**( 8.0_wp / 3.0_wp ), 0.12_wp ) / &
& ( ( svstr(A2D(nn_hls-1))**3 + 0.5_wp * swstrc(A2D(nn_hls-1))**3 )**( 2.0_wp / 3.0_wp ) + epsln )
ELSEWHERE
zsc_uw_1(:,:) = sustar(A2D(nn_hls-1))**2
zsc_vw_1(:,:) = ff_t(A2D(nn_hls-1)) * phbl(A2D(nn_hls-1)) * sustke(A2D(nn_hls-1))**3 * &
& MIN( sla(A2D(nn_hls-1))**( 8.0_wp / 3.0_wp ), 0.12_wp ) / ( svstr(A2D(nn_hls-1))**2 + epsln )
ENDWHERE
DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, MAX( jkm_mld, jkm_bld ) )
IF ( l_conv(ji,jj) ) THEN
IF ( jk <= nmld(ji,jj) ) THEN
zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj)
ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + ( -0.05_wp * EXP( -0.4_wp * zznd_d ) * zsc_uw_1(ji,jj) + &
& 0.00125_wp * EXP( -1.0_wp * zznd_d ) * zsc_uw_2(ji,jj) ) * &
& ( 1.0_wp - EXP( -2.0_wp * zznd_d ) )
ghamv(ji,jj,jk) = ghamv(ji,jj,jk) - 0.65_wp * 0.15_wp * EXP( -1.0_wp * zznd_d ) * &
& ( 1.0_wp - EXP( -2.0_wp * zznd_d ) ) * zsc_vw_1(ji,jj)
END IF
ELSE ! Stable conditions
IF ( jk <= nbld(ji,jj) ) THEN ! Corrected to nbld
zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj)
ghamu(ji,jj,jk) = ghamu(ji,jj,jk) - 0.75_wp * 1.3_wp * EXP( -0.5_wp * zznd_d ) * &
& ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) * zsc_uw_1(ji,jj)
END IF
END IF
END_3D
!
! Buoyancy term in flux-gradient relationship [note : includes ROI ratio
! (X0.3) and pressure (X0.5)]
! ----------------------------------------------------------------------
WHERE ( l_conv(A2D(nn_hls-1)) )
zsc_wth_1(:,:) = swbav(A2D(nn_hls-1)) * swth0(A2D(nn_hls-1)) * ( 1.0_wp + EXP( 0.2_wp * shol(A2D(nn_hls-1)) ) ) * &
& phml(A2D(nn_hls-1)) / ( svstr(A2D(nn_hls-1))**3 + 0.5_wp * swstrc(A2D(nn_hls-1))**3 + epsln )
zsc_ws_1(:,:) = swbav(A2D(nn_hls-1)) * sws0(A2D(nn_hls-1)) * ( 1.0_wp + EXP( 0.2_wp * shol(A2D(nn_hls-1)) ) ) * &
& phml(A2D(nn_hls-1)) / ( svstr(A2D(nn_hls-1))**3 + 0.5_wp * swstrc(A2D(nn_hls-1))**3 + epsln )
ELSEWHERE
zsc_wth_1(:,:) = 0.0_wp
zsc_ws_1(:,:) = 0.0_wp
ENDWHERE
DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, MAX( jkm_mld, jkm_bld ) )
IF ( l_conv(ji,jj) ) THEN
IF ( jk <= nmld(ji,jj) ) THEN
zznd_ml = gdepw(ji,jj,jk,Kmm) / phml(ji,jj)
! Calculate turbulent time scale
zl_c = 0.9_wp * ( 1.0_wp - EXP( -5.0_wp * ( zznd_ml + zznd_ml**3 / 3.0_wp ) ) ) * &
& ( 1.0_wp - EXP( -15.0_wp * ( 1.2_wp - zznd_ml ) ) )
zl_l = 2.0_wp * ( 1.0_wp - EXP( -2.0_wp * ( zznd_ml + zznd_ml**3 / 3.0_wp ) ) ) * &
& ( 1.0_wp - EXP( -8.0_wp * ( 1.15_wp - zznd_ml ) ) ) * ( 1.0_wp + dstokes(ji,jj) / phml (ji,jj) )
zl_eps = zl_l + ( zl_c - zl_l ) / ( 1.0_wp + EXP( -3.0_wp * LOG10( -1.0_wp * shol(ji,jj) ) ) )**( 3.0_wp / 2.0_wp )
! Non-gradient buoyancy terms
ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3_wp * 0.4_wp * zsc_wth_1(ji,jj) * zl_eps / ( 0.15_wp + zznd_ml )
ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3_wp * 0.4_wp * zsc_ws_1(ji,jj) * zl_eps / ( 0.15_wp + zznd_ml )
END IF
ELSE ! Stable conditions
IF ( jk <= nbld(ji,jj) ) THEN
ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zsc_wth_1(ji,jj)
ghams(ji,jj,jk) = ghams(ji,jj,jk) + zsc_ws_1(ji,jj)
END IF
END IF
END_3D
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
IF ( l_conv(ji,jj) .AND. l_pyc(ji,jj) ) THEN
ztau_sc_u(ji,jj) = phml(ji,jj) / ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird * &
& ( 1.4_wp - 0.4_wp / ( 1.0_wp + EXP( -3.5_wp * LOG10( -1.0_wp * shol(ji,jj) ) ) )**1.5_wp )
zwth_ent(ji,jj) = -0.003_wp * ( 0.15_wp * svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird * &
& ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * av_dt_ml(ji,jj)
zws_ent(ji,jj) = -0.003_wp * ( 0.15_wp * svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird * &
& ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * av_ds_ml(ji,jj)
IF ( dh(ji,jj) < 0.2_wp * hbl(ji,jj) ) THEN
zbuoy_pyc_sc = 2.0_wp * MAX( av_db_ml(ji,jj), 0.0_wp ) / pdh(ji,jj)
zdelta_pyc = ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird / &
& SQRT( MAX( zbuoy_pyc_sc, ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**p2third / pdh(ji,jj)**2 ) )
zwt_pyc_sc_1(ji,jj) = 0.325_wp * ( zalpha_pyc(ji,jj) * av_dt_ml(ji,jj) / pdh(ji,jj) + pdtdz_bl_ext(ji,jj) ) * &
& zdelta_pyc**2 / pdh(ji,jj)
zws_pyc_sc_1(ji,jj) = 0.325_wp * ( zalpha_pyc(ji,jj) * av_ds_ml(ji,jj) / pdh(ji,jj) + pdsdz_bl_ext(ji,jj) ) * &
& zdelta_pyc**2 / pdh(ji,jj)
zzeta_pyc(ji,jj) = 0.15_wp - 0.175_wp / ( 1.0_wp + EXP( -3.5_wp * LOG10( -1.0_wp * shol(ji,jj) ) ) )
END IF
END IF
END_2D
DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, jkm_bld )
IF ( l_conv(ji,jj) .AND. l_pyc(ji,jj) .AND. ( jk <= nbld(ji,jj) ) ) THEN
zznd_pyc = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / pdh(ji,jj)
ghamt(ji,jj,jk) = ghamt(ji,jj,jk) - &
& 0.045_wp * ( ( zwth_ent(ji,jj) * zdbdz_pyc(ji,jj,jk) ) * ztau_sc_u(ji,jj)**2 ) * &
& MAX( ( 1.75_wp * zznd_pyc -0.15_wp * zznd_pyc**2 - 0.2_wp * zznd_pyc**3 ), 0.0_wp )
ghams(ji,jj,jk) = ghams(ji,jj,jk) - &
& 0.045_wp * ( ( zws_ent(ji,jj) * zdbdz_pyc(ji,jj,jk) ) * ztau_sc_u(ji,jj)**2 ) * &
& MAX( ( 1.75_wp * zznd_pyc -0.15_wp * zznd_pyc**2 - 0.2_wp * zznd_pyc**3 ), 0.0_wp )
IF ( dh(ji,jj) < 0.2_wp * hbl(ji,jj) .AND. nbld(ji,jj) - nmld(ji,jj) > 3 ) THEN
ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.05_wp * zwt_pyc_sc_1(ji,jj) * &
& EXP( -0.25_wp * ( zznd_pyc / zzeta_pyc(ji,jj) )**2 ) * &
& pdh(ji,jj) / ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird
ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.05_wp * zws_pyc_sc_1(ji,jj) * &
& EXP( -0.25_wp * ( zznd_pyc / zzeta_pyc(ji,jj) )**2 ) * &
& pdh(ji,jj) / ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird
END IF
END IF ! End of pycnocline
END_3D
!
IF ( ln_dia_osm ) THEN
CALL zdf_osm_iomput( "zwth_ent", tmask(A2D(0),1) * zwth_ent(A2D(0)) ) ! Upward turb. temperature entrainment flux
CALL zdf_osm_iomput( "zws_ent", tmask(A2D(0),1) * zws_ent(A2D(0)) ) ! Upward turb. salinity entrainment flux
END IF
!
zsc_vw_1(:,:) = 0.0_wp
WHERE ( l_conv(A2D(nn_hls-1)) )
zsc_uw_1(:,:) = -1.0_wp * swb0(A2D(nn_hls-1)) * sustar(A2D(nn_hls-1))**2 * phml(A2D(nn_hls-1)) / &
& ( svstr(A2D(nn_hls-1))**3 + 0.5_wp * swstrc(A2D(nn_hls-1))**3 + epsln )
zsc_uw_2(:,:) = swb0(A2D(nn_hls-1)) * sustke(A2D(nn_hls-1)) * phml(A2D(nn_hls-1)) / &
& ( svstr(A2D(nn_hls-1))**3 + 0.5_wp * swstrc(A2D(nn_hls-1))**3 + epsln )**( 2.0_wp / 3.0_wp )
ELSEWHERE
zsc_uw_1(:,:) = 0.0_wp
ENDWHERE
DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, MAX( jkm_mld, jkm_bld ) )
IF ( l_conv(ji,jj) ) THEN
IF ( jk <= nmld(ji,jj) ) THEN
zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj)
ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.3_wp * 0.5_wp * &
& ( zsc_uw_1(ji,jj) + 0.125_wp * EXP( -0.5_wp * zznd_d ) * &
& ( 1.0_wp - EXP( -0.5_wp * zznd_d ) ) * zsc_uw_2(ji,jj) )
ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj)
END IF
ELSE ! Stable conditions
IF ( jk <= nbld(ji,jj) ) THEN
ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zsc_uw_1(ji,jj)
ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj)
END IF
ENDIF
END_3D
!
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
IF ( l_conv(ji,jj) .AND. l_pyc(ji,jj) ) THEN
IF ( n_ddh(ji,jj) == 0 ) THEN
! Place holding code. Parametrization needs checking for these conditions.
zomega = ( 0.15_wp * swstrl(ji,jj)**3 + swstrc(ji,jj)**3 + 4.75_wp * ( pshear(ji,jj) * phbl(ji,jj) ) )**pthird
zuw_bse(ji,jj) = -0.0035_wp * zomega * ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * av_du_ml(ji,jj)
zvw_bse(ji,jj) = -0.0075_wp * zomega * ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * av_dv_ml(ji,jj)
ELSE
zomega = ( 0.15_wp * swstrl(ji,jj)**3 + swstrc(ji,jj)**3 + 4.75_wp * ( pshear(ji,jj) * phbl(ji,jj) ) )**pthird
zuw_bse(ji,jj) = -0.0035_wp * zomega * ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * av_du_ml(ji,jj)
zvw_bse(ji,jj) = -0.0075_wp * zomega * ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * av_dv_ml(ji,jj)
ENDIF
zb_cubic(ji,jj) = pdh(ji,jj) / phbl(ji,jj) * suw0(ji,jj) - ( 2.0_wp + pdh(ji,jj) / phml(ji,jj) ) * zuw_bse(ji,jj)
za_cubic(ji,jj) = zuw_bse(ji,jj) - zb_cubic(ji,jj)
zvw_max = 0.7_wp * ff_t(ji,jj) * ( sustke(ji,jj) * dstokes(ji,jj) + 0.7_wp * sustar(ji,jj) * phml(ji,jj) )
zd_cubic(ji,jj) = zvw_max * pdh(ji,jj) / phml(ji,jj) - ( 2.0_wp + pdh(ji,jj) / phml(ji,jj) ) * zvw_bse(ji,jj)
zc_cubic(ji,jj) = zvw_bse(ji,jj) - zd_cubic(ji,jj)
END IF
END_2D
DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, jkf_mld, jkm_bld ) ! Need ztau_sc_u to be available. Change to array.
IF ( l_conv(ji,jj) .AND. l_pyc(ji,jj) .AND. ( jk >= nmld(ji,jj) ) .AND. ( jk <= nbld(ji,jj) ) ) THEN
zznd_pyc = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / pdh(ji,jj)
ghamu(ji,jj,jk) = ghamu(ji,jj,jk) - 0.045_wp * ( ztau_sc_u(ji,jj)**2 ) * zuw_bse(ji,jj) * &
& ( za_cubic(ji,jj) * zznd_pyc**2 + zb_cubic(ji,jj) * zznd_pyc**3 ) * &
& ( 0.75_wp + 0.25_wp * zznd_pyc )**2 * zdbdz_pyc(ji,jj,jk)
ghamv(ji,jj,jk) = ghamv(ji,jj,jk) - 0.045_wp * ( ztau_sc_u(ji,jj)**2 ) * zvw_bse(ji,jj) * &
& ( zc_cubic(ji,jj) * zznd_pyc**2 + zd_cubic(ji,jj) * zznd_pyc**3 ) * &
& ( 0.75_wp + 0.25_wp * zznd_pyc )**2 * zdbdz_pyc(ji,jj,jk)
END IF ! l_conv .AND. l_pyc
END_3D
!
IF ( ln_dia_osm ) THEN
CALL zdf_osm_iomput( "ghamu_0", wmask(A2D(0),:) * ghamu(A2D(0),:) )
CALL zdf_osm_iomput( "zsc_uw_1_0", tmask(A2D(0),1) * zsc_uw_1(A2D(0)) )
END IF
!
! Transport term in flux-gradient relationship [note : includes ROI ratio
! (X0.3) ]
! -----------------------------------------------------------------------
WHERE ( l_conv(A2D(nn_hls-1)) )
zsc_wth_1(:,:) = swth0(A2D(nn_hls-1)) / ( 1.0_wp - 0.56_wp * EXP( shol(A2D(nn_hls-1)) ) )
zsc_ws_1(:,:) = sws0(A2D(nn_hls-1)) / ( 1.0_wp - 0.56_wp * EXP( shol(A2D(nn_hls-1)) ) )
WHERE ( l_pyc(A2D(nn_hls-1)) ) ! Pycnocline scales
zsc_wth_pyc(:,:) = -0.003_wp * swstrc(A2D(nn_hls-1)) * ( 1.0_wp - pdh(A2D(nn_hls-1)) / phbl(A2D(nn_hls-1)) ) * &
& av_dt_ml(A2D(nn_hls-1))
zsc_ws_pyc(:,:) = -0.003_wp * swstrc(A2D(nn_hls-1)) * ( 1.0_wp - pdh(A2D(nn_hls-1)) / phbl(A2D(nn_hls-1)) ) * &
& av_ds_ml(A2D(nn_hls-1))
END WHERE
ELSEWHERE
zsc_wth_1(:,:) = 2.0_wp * swthav(A2D(nn_hls-1))
zsc_ws_1(:,:) = sws0(A2D(nn_hls-1))
END WHERE
DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 1, MAX( jkm_mld, jkm_bld ) )
IF ( l_conv(ji,jj) ) THEN
IF ( ( jk > 1 ) .AND. ( jk <= nmld(ji,jj) ) ) THEN
zznd_ml = gdepw(ji,jj,jk,Kmm) / phml(ji,jj)
ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3_wp * zsc_wth_1(ji,jj) * &
& ( -2.0_wp + 2.75_wp * ( ( 1.0_wp + 0.6_wp * zznd_ml**4 ) - &
& EXP( -6.0_wp * zznd_ml ) ) ) * &
& ( 1.0_wp - EXP( -15.0_wp * ( 1.0_wp - zznd_ml ) ) )
ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3_wp * zsc_ws_1(ji,jj) * &
& ( -2.0_wp + 2.75_wp * ( ( 1.0_wp + 0.6_wp * zznd_ml**4 ) - &
& EXP( -6.0_wp * zznd_ml ) ) ) * ( 1.0_wp - EXP( -15.0_wp * ( 1.0_wp - zznd_ml ) ) )
END IF
!
! may need to comment out lpyc block
IF ( l_pyc(ji,jj) .AND. ( jk >= nmld(ji,jj) ) .AND. ( jk <= nbld(ji,jj) ) ) THEN ! Pycnocline
zznd_pyc = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / pdh(ji,jj)
ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 4.0_wp * zsc_wth_pyc(ji,jj) * &
& ( 0.48_wp - EXP( -1.5_wp * ( zznd_pyc - 0.3_wp )**2 ) )
ghams(ji,jj,jk) = ghams(ji,jj,jk) + 4.0_wp * zsc_ws_pyc(ji,jj) * &
& ( 0.48_wp - EXP( -1.5_wp * ( zznd_pyc - 0.3_wp )**2 ) )
END IF
ELSE
IF( pdhdt(ji,jj) > 0. ) THEN
IF ( ( jk > 1 ) .AND. ( jk <= nbld(ji,jj) ) ) THEN
zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj)
znd = gdepw(ji,jj,jk,Kmm) / phbl(ji,jj)
ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3_wp * ( -4.06_wp * EXP( -2.0_wp * zznd_d ) * ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) + &
7.5_wp * EXP ( -10.0_wp * ( 0.95_wp - znd )**2 ) * ( 1.0_wp - znd ) ) * zsc_wth_1(ji,jj)
ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3_wp * ( -4.06_wp * EXP( -2.0_wp * zznd_d ) * ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) + &
7.5_wp * EXP ( -10.0_wp * ( 0.95_wp - znd )**2 ) * ( 1.0_wp - znd ) ) * zsc_ws_1(ji,jj)
END IF
ENDIF
ENDIF
END_3D
!
WHERE ( l_conv(A2D(nn_hls-1)) )
zsc_uw_1(:,:) = sustar(A2D(nn_hls-1))**2
zsc_vw_1(:,:) = ff_t(A2D(nn_hls-1)) * sustke(A2D(nn_hls-1)) * phml(A2D(nn_hls-1))
ELSEWHERE
zsc_uw_1(:,:) = sustar(A2D(nn_hls-1))**2
zsc_uw_2(:,:) = ( 2.25_wp - 3.0_wp * ( 1.0_wp - EXP( -1.25_wp * 2.0_wp ) ) ) * ( 1.0_wp - EXP( -4.0_wp * 2.0_wp ) ) * &
& zsc_uw_1(:,:)
zsc_vw_1(:,:) = ff_t(A2D(nn_hls-1)) * sustke(A2D(nn_hls-1)) * phbl(A2D(nn_hls-1))
zsc_vw_2(:,:) = -0.11_wp * SIN( 3.14159_wp * ( 2.0_wp + 0.4_wp ) ) * EXP( -1.0_wp * ( 1.5_wp + 2.0_wp )**2 ) * &
& zsc_vw_1(:,:)
ENDWHERE
DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, MAX( jkm_mld, jkm_bld ) )
IF ( l_conv(ji,jj) ) THEN
IF ( jk <= nmld(ji,jj) ) THEN
zznd_ml = gdepw(ji,jj,jk,Kmm) / phml(ji,jj)
zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj)
ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + &
& 0.3_wp * ( -2.0_wp + 2.5_wp * ( 1.0_wp + 0.1_wp * zznd_ml**4 ) - EXP( -8.0_wp * zznd_ml ) ) * &
& zsc_uw_1(ji,jj)
ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + &
& 0.3_wp * 0.1_wp * ( EXP( -1.0_wp * zznd_d ) + EXP( -5.0_wp * ( 1.0_wp - zznd_ml ) ) ) * &
& zsc_vw_1(ji,jj)
END IF
ELSE
IF ( jk <= nbld(ji,jj) ) THEN
znd = gdepw(ji,jj,jk,Kmm) / phbl(ji,jj)
zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj)
IF ( zznd_d <= 2.0_wp ) THEN
ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.5_wp * 0.3_wp * &
& ( 2.25_wp - 3.0_wp * ( 1.0_wp - EXP( -1.25_wp * zznd_d ) ) * &
& ( 1.0_wp - EXP( -2.0_wp * zznd_d ) ) ) * zsc_uw_1(ji,jj)
ELSE
ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.5_wp * 0.3_wp * &
& ( 1.0_wp - EXP( -5.0_wp * ( 1.0_wp - znd ) ) ) * zsc_uw_2(ji,jj)
ENDIF
ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + 0.3_wp * 0.15_wp * SIN( 3.14159_wp * ( 0.65_wp * zznd_d ) ) * &
& EXP( -0.25_wp * zznd_d**2 ) * zsc_vw_1(ji,jj)
ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + 0.3_wp * 0.15_wp * EXP( -5.0 * ( 1.0 - znd ) ) * &
& ( 1.0 - EXP( -20.0 * ( 1.0 - znd ) ) ) * zsc_vw_2(ji,jj)
END IF
END IF
END_3D
!
IF ( ln_dia_osm ) THEN
CALL zdf_osm_iomput( "ghamu_f", wmask(A2D(0),:) * ghamu(A2D(0),:) )
CALL zdf_osm_iomput( "ghamv_f", wmask(A2D(0),:) * ghamv(A2D(0),:) )
CALL zdf_osm_iomput( "zsc_uw_1_f", tmask(A2D(0),1) * zsc_uw_1(A2D(0)) )
CALL zdf_osm_iomput( "zsc_vw_1_f", tmask(A2D(0),1) * zsc_vw_1(A2D(0)) )
CALL zdf_osm_iomput( "zsc_uw_2_f", tmask(A2D(0),1) * zsc_uw_2(A2D(0)) )
CALL zdf_osm_iomput( "zsc_vw_2_f", tmask(A2D(0),1) * zsc_vw_2(A2D(0)) )
END IF
!
! Make surface forced velocity non-gradient terms go to zero at the base
! of the mixed layer.
!
! Make surface forced velocity non-gradient terms go to zero at the base
! of the boundary layer.
DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, jkm_bld )
IF ( ( .NOT. l_conv(ji,jj) ) .AND. ( jk <= nbld(ji,jj) ) ) THEN
znd = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / phbl(ji,jj) ! ALMG to think about
IF ( znd >= 0.0_wp ) THEN
ghamu(ji,jj,jk) = ghamu(ji,jj,jk) * ( 1.0_wp - EXP( -10.0_wp * znd**2 ) )
ghamv(ji,jj,jk) = ghamv(ji,jj,jk) * ( 1.0_wp - EXP( -10.0_wp * znd**2 ) )
ELSE
ghamu(ji,jj,jk) = 0.0_wp
ghamv(ji,jj,jk) = 0.0_wp
ENDIF
END IF
END_3D
!
! Pynocline contributions
!
IF ( ln_dia_pyc_scl .OR. ln_dia_pyc_shr ) THEN ! Allocate arrays for output of pycnocline gradient/shear profiles
ALLOCATE( z3ddz_pyc_1(A2D(nn_hls),jpk), z3ddz_pyc_2(A2D(nn_hls),jpk), STAT=istat )
IF ( istat /= 0 ) CALL ctl_stop( 'zdf_osm: failed to allocate temporary arrays' )
z3ddz_pyc_1(:,:,:) = 0.0_wp
z3ddz_pyc_2(:,:,:) = 0.0_wp
END IF
DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, jkm_bld )
IF ( l_conv (ji,jj) ) THEN
! Unstable conditions. Shouldn;t be needed with no pycnocline code.
! zugrad = 0.7 * av_du_ml(ji,jj) / zdh(ji,jj) + 0.3 * zustar(ji,jj)*zustar(ji,jj) / &
! & ( ( ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * zhml(ji,jj) ) * &
! & MIN(zla(ji,jj)**(8.0/3.0) + epsln, 0.12 ))
!Alan is this right?
! zvgrad = ( 0.7 * av_dv_ml(ji,jj) + &
! & 2.0 * ff_t(ji,jj) * zustke(ji,jj) * dstokes(ji,jj) / &
! & ( ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird + epsln ) &
! & )/ (zdh(ji,jj) + epsln )
! DO jk = 2, nbld(ji,jj) - 1 + ibld_ext
! znd = -( gdepw(ji,jj,jk,Kmm) - zhbl(ji,jj) ) / (zdh(ji,jj) + epsln ) - zzeta_v
! IF ( znd <= 0.0 ) THEN
! zdudz(ji,jj,jk) = 1.25 * zugrad * EXP( 3.0 * znd )
! zdvdz(ji,jj,jk) = 1.25 * zvgrad * EXP( 3.0 * znd )
! ELSE
! zdudz(ji,jj,jk) = 1.25 * zugrad * EXP( -2.0 * znd )
! zdvdz(ji,jj,jk) = 1.25 * zvgrad * EXP( -2.0 * znd )
! ENDIF
! END DO
ELSE ! Stable conditions
IF ( nbld(ji,jj) + kp_ext(ji,jj) < mbkt(ji,jj) ) THEN
! Pycnocline profile only defined when depth steady of increasing.
IF ( pdhdt(ji,jj) > 0.0_wp ) THEN ! Depth increasing, or steady.
IF ( av_db_bl(ji,jj) > 0.0_wp ) THEN
IF ( shol(ji,jj) >= 0.5_wp ) THEN ! Very stable - 'thick' pycnocline
ztmp = 1.0_wp / MAX( phbl(ji,jj), epsln )
ztgrad = av_dt_bl(ji,jj) * ztmp
zsgrad = av_ds_bl(ji,jj) * ztmp
zbgrad = av_db_bl(ji,jj) * ztmp
IF ( jk <= nbld(ji,jj) ) THEN
znd = gdepw(ji,jj,jk,Kmm) * ztmp
zdtdz_pyc = ztgrad * EXP( -15.0_wp * ( znd - 0.9_wp )**2 )
zdsdz_pyc = zsgrad * EXP( -15.0_wp * ( znd - 0.9_wp )**2 )
ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + pdiffut(ji,jj,jk) * zdtdz_pyc
ghams(ji,jj,jk) = ghams(ji,jj,jk) + pdiffut(ji,jj,jk) * zdsdz_pyc
IF ( ln_dia_pyc_scl ) THEN
z3ddz_pyc_1(ji,jj,jk) = zdtdz_pyc
z3ddz_pyc_2(ji,jj,jk) = zdsdz_pyc
END IF
END IF
ELSE ! Slightly stable - 'thin' pycnoline - needed when stable layer begins to form.
ztmp = 1.0_wp / MAX( pdh(ji,jj), epsln )
ztgrad = av_dt_bl(ji,jj) * ztmp
zsgrad = av_ds_bl(ji,jj) * ztmp
zbgrad = av_db_bl(ji,jj) * ztmp
IF ( jk <= nbld(ji,jj) ) THEN
znd = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phml(ji,jj) ) * ztmp
zdtdz_pyc = ztgrad * EXP( -1.75_wp * ( znd + 0.75_wp )**2 )
zdsdz_pyc = zsgrad * EXP( -1.75_wp * ( znd + 0.75_wp )**2 )
ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + pdiffut(ji,jj,jk) * zdtdz_pyc
ghams(ji,jj,jk) = ghams(ji,jj,jk) + pdiffut(ji,jj,jk) * zdsdz_pyc
IF ( ln_dia_pyc_scl ) THEN
z3ddz_pyc_1(ji,jj,jk) = zdtdz_pyc
z3ddz_pyc_2(ji,jj,jk) = zdsdz_pyc
END IF
END IF
ENDIF ! IF (shol >=0.5)
ENDIF ! IF (av_db_bl> 0.)
ENDIF ! IF (zdhdt >= 0) zdhdt < 0 not considered since pycnocline profile is zero and profile arrays are
! ! intialized to zero
END IF
END IF
END_3D
IF ( ln_dia_pyc_scl ) THEN ! Output of pycnocline gradient profiles
CALL zdf_osm_iomput( "zdtdz_pyc", wmask(A2D(0),:) * z3ddz_pyc_1(A2D(0),:) )
CALL zdf_osm_iomput( "zdsdz_pyc", wmask(A2D(0),:) * z3ddz_pyc_2(A2D(0),:) )
END IF
DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, jkm_bld )
IF ( .NOT. l_conv (ji,jj) ) THEN
IF ( nbld(ji,jj) + kp_ext(ji,jj) < mbkt(ji,jj) ) THEN
zugrad = 3.25_wp * av_du_bl(ji,jj) / phbl(ji,jj)
zvgrad = 2.75_wp * av_dv_bl(ji,jj) / phbl(ji,jj)
IF ( jk <= nbld(ji,jj) ) THEN
znd = gdepw(ji,jj,jk,Kmm) / phbl(ji,jj)
IF ( znd < 1.0 ) THEN
zdudz_pyc = zugrad * EXP( -40.0_wp * ( znd - 1.0_wp )**2 )
ELSE
zdudz_pyc = zugrad * EXP( -20.0_wp * ( znd - 1.0_wp )**2 )
ENDIF
zdvdz_pyc = zvgrad * EXP( -20.0_wp * ( znd - 0.85_wp )**2 )
ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + pviscos(ji,jj,jk) * zdudz_pyc
ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + pviscos(ji,jj,jk) * zdvdz_pyc
IF ( ln_dia_pyc_shr ) THEN
z3ddz_pyc_1(ji,jj,jk) = zdudz_pyc
z3ddz_pyc_2(ji,jj,jk) = zdvdz_pyc
END IF
END IF
END IF
END IF
END_3D
IF ( ln_dia_pyc_shr ) THEN ! Output of pycnocline shear profiles
CALL zdf_osm_iomput( "zdudz_pyc", wmask(A2D(0),:) * z3ddz_pyc_1(A2D(0),:) )
CALL zdf_osm_iomput( "zdvdz_pyc", wmask(A2D(0),:) * z3ddz_pyc_2(A2D(0),:) )
END IF
IF ( ln_dia_osm ) THEN
CALL zdf_osm_iomput( "ghamu_b", wmask(A2D(0),:) * ghamu(A2D(0),:) )
CALL zdf_osm_iomput( "ghamv_b", wmask(A2D(0),:) * ghamv(A2D(0),:) )
END IF
IF ( ln_dia_pyc_scl .OR. ln_dia_pyc_shr ) THEN ! Deallocate arrays used for output of pycnocline gradient/shear profiles
DEALLOCATE( z3ddz_pyc_1, z3ddz_pyc_2 )
END IF
!
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
ghamt(ji,jj,nbld(ji,jj)) = 0.0_wp
ghams(ji,jj,nbld(ji,jj)) = 0.0_wp
ghamu(ji,jj,nbld(ji,jj)) = 0.0_wp
ghamv(ji,jj,nbld(ji,jj)) = 0.0_wp
END_2D
!
IF ( ln_dia_osm ) THEN
CALL zdf_osm_iomput( "ghamu_1", wmask(A2D(0),:) * ghamu(A2D(0),:) )
CALL zdf_osm_iomput( "ghamv_1", wmask(A2D(0),:) * ghamv(A2D(0),:) )
CALL zdf_osm_iomput( "zviscos", wmask(A2D(0),:) * pviscos(A2D(0),:) )
END IF
!
END SUBROUTINE zdf_osm_fgr_terms
SUBROUTINE zdf_osm_zmld_horizontal_gradients( Kmm, pmld, pdtdx, pdtdy, pdsdx, &
& pdsdy, pdbds_mle )
!!----------------------------------------------------------------------
!! *** ROUTINE zdf_osm_zmld_horizontal_gradients ***
!!
!! ** Purpose : Calculates horizontal gradients of buoyancy for use with
!! Fox-Kemper parametrization
!!
!! ** Method :
!!
!! References: Fox-Kemper et al., JPO, 38, 1145-1165, 2008
!! Fox-Kemper and Ferrari, JPO, 38, 1166-1179, 2008
!!
!!----------------------------------------------------------------------
INTEGER, INTENT(in ) :: Kmm ! Time-level index
REAL(wp), DIMENSION(A2D(nn_hls)), INTENT( out) :: pmld ! == Estimated FK BLD used for MLE horizontal gradients == !
REAL(wp), DIMENSION(A2D(nn_hls)), INTENT(inout) :: pdtdx ! Horizontal gradient for Fox-Kemper parametrization
REAL(wp), DIMENSION(A2D(nn_hls)), INTENT(inout) :: pdtdy ! Horizontal gradient for Fox-Kemper parametrization
REAL(wp), DIMENSION(A2D(nn_hls)), INTENT(inout) :: pdsdx ! Horizontal gradient for Fox-Kemper parametrization
REAL(wp), DIMENSION(A2D(nn_hls)), INTENT(inout) :: pdsdy ! Horizontal gradient for Fox-Kemper parametrization
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(inout) :: pdbds_mle ! Magnitude of horizontal buoyancy gradient
!!
INTEGER :: ji, jj, jk ! Dummy loop indices
INTEGER, DIMENSION(A2D(nn_hls)) :: jk_mld_prof ! Base level of MLE layer
INTEGER :: ikt, ikmax ! Local integers
REAL(wp) :: zc
REAL(wp) :: zN2_c ! Local buoyancy difference from 10m value
REAL(wp), DIMENSION(A2D(nn_hls)) :: ztm
REAL(wp), DIMENSION(A2D(nn_hls)) :: zsm
REAL(wp), DIMENSION(A2D(nn_hls),jpts) :: ztsm_midu
REAL(wp), DIMENSION(A2D(nn_hls),jpts) :: ztsm_midv
REAL(wp), DIMENSION(A2D(nn_hls),jpts) :: zabu
REAL(wp), DIMENSION(A2D(nn_hls),jpts) :: zabv
REAL(wp), DIMENSION(A2D(nn_hls)) :: zmld_midu
REAL(wp), DIMENSION(A2D(nn_hls)) :: zmld_midv
!!----------------------------------------------------------------------
!
! == MLD used for MLE ==!
DO_2D( nn_hls, nn_hls, nn_hls, nn_hls )
jk_mld_prof(ji,jj) = nlb10 ! Initialization to the number of w ocean point
pmld(ji,jj) = 0.0_wp ! Here hmlp used as a dummy variable, integrating vertically N^2
END_2D
zN2_c = grav * rn_osm_mle_rho_c * r1_rho0 ! Convert density criteria into N^2 criteria
DO_3D( nn_hls, nn_hls, nn_hls, nn_hls, nlb10, jpkm1 )
ikt = mbkt(ji,jj)
pmld(ji,jj) = pmld(ji,jj) + MAX( rn2b(ji,jj,jk), 0.0_wp ) * e3w(ji,jj,jk,Kmm)
IF( pmld(ji,jj) < zN2_c ) jk_mld_prof(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level
END_3D
DO_2D( nn_hls, nn_hls, nn_hls, nn_hls )
jk_mld_prof(ji,jj) = MAX( jk_mld_prof(ji,jj), nbld(ji,jj) ) ! Ensure jk_mld_prof .ge. nbld
pmld(ji,jj) = gdepw(ji,jj,jk_mld_prof(ji,jj),Kmm)
END_2D
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
mld_prof(ji,jj) = jk_mld_prof(ji,jj)
END_2D
!
ikmax = MIN( MAXVAL( jk_mld_prof(A2D(nn_hls)) ), jpkm1 ) ! Max level of the computation
ztm(:,:) = 0.0_wp
zsm(:,:) = 0.0_wp
DO_3D( nn_hls, nn_hls, nn_hls, nn_hls, 1, ikmax )
zc = e3t(ji,jj,jk,Kmm) * REAL( MIN( MAX( 0, jk_mld_prof(ji,jj) - jk ), 1 ), KIND=wp ) ! zc being 0 outside the ML
! ! t-points
ztm(ji,jj) = ztm(ji,jj) + zc * ts(ji,jj,jk,jp_tem,Kmm)
zsm(ji,jj) = zsm(ji,jj) + zc * ts(ji,jj,jk,jp_sal,Kmm)
END_3D
! Average temperature and salinity
DO_2D( nn_hls, nn_hls, nn_hls, nn_hls )
ztm(ji,jj) = ztm(ji,jj) / MAX( e3t(ji,jj,1,Kmm), pmld(ji,jj) )
zsm(ji,jj) = zsm(ji,jj) / MAX( e3t(ji,jj,1,Kmm), pmld(ji,jj) )
END_2D
! Calculate horizontal gradients at u & v points
zmld_midu(:,:) = 0.0_wp
ztsm_midu(:,:,:) = 10.0_wp
DO_2D( nn_hls, nn_hls-1, nn_hls-1, nn_hls-1 )
pdtdx(ji,jj) = ( ztm(ji+1,jj) - ztm(ji,jj) ) * umask(ji,jj,1) / e1u(ji,jj)
pdsdx(ji,jj) = ( zsm(ji+1,jj) - zsm(ji,jj) ) * umask(ji,jj,1) / e1u(ji,jj)
zmld_midu(ji,jj) = 0.25_wp * ( pmld(ji+1,jj) + pmld(ji,jj))
ztsm_midu(ji,jj,jp_tem) = 0.5_wp * ( ztm( ji+1,jj) + ztm( ji,jj) )
ztsm_midu(ji,jj,jp_sal) = 0.5_wp * ( zsm( ji+1,jj) + zsm( ji,jj) )
END_2D
zmld_midv(:,:) = 0.0_wp
ztsm_midv(:,:,:) = 10.0_wp
DO_2D( nn_hls-1, nn_hls-1, nn_hls, nn_hls-1 )
pdtdy(ji,jj) = ( ztm(ji,jj+1) - ztm(ji,jj) ) * vmask(ji,jj,1) / e1v(ji,jj)
pdsdy(ji,jj) = ( zsm(ji,jj+1) - zsm(ji,jj) ) * vmask(ji,jj,1) / e1v(ji,jj)
zmld_midv(ji,jj) = 0.25_wp * ( pmld(ji,jj+1) + pmld( ji,jj) )
ztsm_midv(ji,jj,jp_tem) = 0.5_wp * ( ztm( ji,jj+1) + ztm( ji,jj) )
ztsm_midv(ji,jj,jp_sal) = 0.5_wp * ( zsm( ji,jj+1) + zsm( ji,jj) )
END_2D
CALL eos_rab( ztsm_midu, zmld_midu, zabu, Kmm )
CALL eos_rab( ztsm_midv, zmld_midv, zabv, Kmm )
DO_2D_OVR( nn_hls, nn_hls-1, nn_hls-1, nn_hls-1 )
dbdx_mle(ji,jj) = grav * ( pdtdx(ji,jj) * zabu(ji,jj,jp_tem) - pdsdx(ji,jj) * zabu(ji,jj,jp_sal) )
END_2D
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls, nn_hls-1 )
dbdy_mle(ji,jj) = grav * ( pdtdy(ji,jj) * zabv(ji,jj,jp_tem) - pdsdy(ji,jj) * zabv(ji,jj,jp_sal) )
END_2D
DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
pdbds_mle(ji,jj) = SQRT( 0.5_wp * ( dbdx_mle(ji, jj) * dbdx_mle(ji, jj) + dbdy_mle(ji,jj ) * dbdy_mle(ji,jj ) + &
& dbdx_mle(ji-1,jj) * dbdx_mle(ji-1,jj) + dbdy_mle(ji,jj-1) * dbdy_mle(ji,jj-1) ) )
END_2D
!
END SUBROUTINE zdf_osm_zmld_horizontal_gradients
SUBROUTINE zdf_osm_osbl_state_fk( Kmm, pwb_fk, phbl, phmle, pwb_ent, &
& pdbds_mle )
!!---------------------------------------------------------------------
!! *** ROUTINE zdf_osm_osbl_state_fk ***
!!
!! ** Purpose : Determines the state of the OSBL and MLE layer. Info is
!! returned in the logicals l_pyc, l_flux and ldmle. Used
!! with Fox-Kemper scheme.
!! l_pyc :: determines whether pycnocline flux-grad
!! relationship needs to be determined
!! l_flux :: determines whether effects of surface flux
!! extend below the base of the OSBL
!! ldmle :: determines whether the layer with MLE is
!! increasing with time or if base is relaxing
!! towards hbl
!!
!! ** Method :
!!
!!----------------------------------------------------------------------
INTEGER, INTENT(in ) :: Kmm ! Time-level index
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(inout) :: pwb_fk
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phbl ! BL depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phmle ! MLE depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdbds_mle ! Magnitude of horizontal buoyancy gradient
!!
INTEGER :: ji, jj, jk ! Dummy loop indices
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: znd_param
REAL(wp) :: zthermal, zbeta
REAL(wp) :: zbuoy
REAL(wp) :: ztmp
REAL(wp) :: zpe_mle_layer
REAL(wp) :: zpe_mle_ref
REAL(wp) :: zdbdz_mle_int
!!----------------------------------------------------------------------
!
znd_param(:,:) = 0.0_wp
!
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
ztmp = r1_ft(ji,jj) * MIN( 111.e3_wp , e1u(ji,jj) ) / rn_osm_mle_lf
pwb_fk(ji,jj) = rn_osm_mle_ce * hmle(ji,jj) * hmle(ji,jj) * ztmp * pdbds_mle(ji,jj) * pdbds_mle(ji,jj)
END_2D
!
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
!
IF ( l_conv(ji,jj) ) THEN
IF ( phmle(ji,jj) > 1.2_wp * phbl(ji,jj) ) THEN
av_t_mle(ji,jj) = ( av_t_mle(ji,jj) * phmle(ji,jj) - av_t_bl(ji,jj) * phbl(ji,jj) ) / ( phmle(ji,jj) - phbl(ji,jj) )
av_s_mle(ji,jj) = ( av_s_mle(ji,jj) * phmle(ji,jj) - av_s_bl(ji,jj) * phbl(ji,jj) ) / ( phmle(ji,jj) - phbl(ji,jj) )
av_b_mle(ji,jj) = ( av_b_mle(ji,jj) * phmle(ji,jj) - av_b_bl(ji,jj) * phbl(ji,jj) ) / ( phmle(ji,jj) - phbl(ji,jj) )
zdbdz_mle_int = ( av_b_bl(ji,jj) - ( 2.0_wp * av_b_mle(ji,jj) - av_b_bl(ji,jj) ) ) / ( phmle(ji,jj) - phbl(ji,jj) )
! Calculate potential energies of actual profile and reference profile
zpe_mle_layer = 0.0_wp
zpe_mle_ref = 0.0_wp
zthermal = rab_n(ji,jj,1,jp_tem)
zbeta = rab_n(ji,jj,1,jp_sal)
DO jk = nbld(ji,jj), mld_prof(ji,jj)
zbuoy = grav * ( zthermal * ts(ji,jj,jk,jp_tem,Kmm) - zbeta * ts(ji,jj,jk,jp_sal,Kmm) )
zpe_mle_layer = zpe_mle_layer + zbuoy * gdepw(ji,jj,jk,Kmm) * e3w(ji,jj,jk,Kmm)
zpe_mle_ref = zpe_mle_ref + ( av_b_bl(ji,jj) - zdbdz_mle_int * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) ) * &
& gdepw(ji,jj,jk,Kmm) * e3w(ji,jj,jk,Kmm)
END DO
! Non-dimensional parameter to diagnose the presence of thermocline
znd_param(ji,jj) = ( zpe_mle_layer - zpe_mle_ref ) * ABS( ff_t(ji,jj) ) / &
& ( MAX( pwb_fk(ji,jj), 1e-10 ) * phmle(ji,jj) )
END IF
END IF
!
END_2D
!
! Diagnosis
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
!
IF ( l_conv(ji,jj) ) THEN
IF ( -2.0_wp * pwb_fk(ji,jj) / pwb_ent(ji,jj) > 0.5_wp ) THEN
IF ( phmle(ji,jj) > 1.2_wp * phbl(ji,jj) ) THEN ! MLE layer growing
IF ( znd_param (ji,jj) > 100.0_wp ) THEN ! Thermocline present
l_flux(ji,jj) = .FALSE.
l_mle(ji,jj) = .FALSE.
ELSE ! Thermocline not present
l_flux(ji,jj) = .TRUE.
l_mle(ji,jj) = .TRUE.
ENDIF ! znd_param > 100
!
IF ( av_db_bl(ji,jj) < rn_osm_bl_thresh ) THEN
l_pyc(ji,jj) = .FALSE.
ELSE
l_pyc(ji,jj) = .TRUE.
ENDIF
ELSE ! MLE layer restricted to OSBL or just below
IF ( av_db_bl(ji,jj) < rn_osm_bl_thresh ) THEN ! Weak stratification MLE layer can grow
l_pyc(ji,jj) = .FALSE.
l_flux(ji,jj) = .TRUE.
l_mle(ji,jj) = .TRUE.
ELSE ! Strong stratification
l_pyc(ji,jj) = .TRUE.
l_flux(ji,jj) = .FALSE.
l_mle(ji,jj) = .FALSE.
END IF ! av_db_bl < rn_mle_thresh_bl and
END IF ! phmle > 1.2 phbl
ELSE
l_pyc(ji,jj) = .TRUE.
l_flux(ji,jj) = .FALSE.
l_mle(ji,jj) = .FALSE.
IF ( av_db_bl(ji,jj) < rn_osm_bl_thresh ) l_pyc(ji,jj) = .FALSE.
END IF ! -2.0 * pwb_fk(ji,jj) / pwb_ent > 0.5
ELSE ! Stable Boundary Layer
l_pyc(ji,jj) = .FALSE.
l_flux(ji,jj) = .FALSE.
l_mle(ji,jj) = .FALSE.
END IF ! l_conv
!
END_2D
!
END SUBROUTINE zdf_osm_osbl_state_fk
SUBROUTINE zdf_osm_mle_parameters( Kmm, pmld, phmle, pvel_mle, pdiff_mle, &
& pdbds_mle, phbl, pwb0tot )
!!----------------------------------------------------------------------
!! *** ROUTINE zdf_osm_mle_parameters ***
!!
!! ** Purpose : Timesteps the mixed layer eddy depth, hmle and calculates
!! the mixed layer eddy fluxes for buoyancy, heat and
!! salinity.
!!
!! ** Method :
!!
!! References: Fox-Kemper et al., JPO, 38, 1145-1165, 2008
!! Fox-Kemper and Ferrari, JPO, 38, 1166-1179, 2008
!!
!!----------------------------------------------------------------------
INTEGER, INTENT(in ) :: Kmm ! Time-level index
REAL(wp), DIMENSION(A2D(nn_hls)), INTENT(in ) :: pmld ! == Estimated FK BLD used for MLE horiz gradients == !
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(inout) :: phmle ! MLE depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(inout) :: pvel_mle ! Velocity scale for dhdt with stable ML and FK
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(inout) :: pdiff_mle ! Extra MLE vertical diff
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdbds_mle ! Magnitude of horizontal buoyancy gradient
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phbl ! BL depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb0tot ! Total surface buoyancy flux including insolation
!!
INTEGER :: ji, jj, jk ! Dummy loop indices
REAL(wp) :: ztmp
REAL(wp) :: zdbdz
REAL(wp) :: zdtdz
REAL(wp) :: zdsdz
REAL(wp) :: zthermal
REAL(wp) :: zbeta
REAL(wp) :: zbuoy
REAL(wp) :: zdb_mle
!!----------------------------------------------------------------------
!
! Calculate vertical buoyancy, heat and salinity fluxes due to MLE
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
IF ( l_conv(ji,jj) ) THEN
ztmp = r1_ft(ji,jj) * MIN( 111e3_wp, e1u(ji,jj) ) / rn_osm_mle_lf
! This velocity scale, defined in Fox-Kemper et al (2008), is needed for calculating dhdt
pvel_mle(ji,jj) = pdbds_mle(ji,jj) * ztmp * hmle(ji,jj) * tmask(ji,jj,1)
pdiff_mle(ji,jj) = 5e-4_wp * rn_osm_mle_ce * ztmp * pdbds_mle(ji,jj) * phmle(ji,jj)**2
END IF
END_2D
! Timestep mixed layer eddy depth
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
IF ( l_mle(ji,jj) ) THEN ! MLE layer growing
! Buoyancy gradient at base of MLE layer
zthermal = rab_n(ji,jj,1,jp_tem)
zbeta = rab_n(ji,jj,1,jp_sal)
zbuoy = grav * ( zthermal * ts(ji,jj,mld_prof(ji,jj)+2,jp_tem,Kmm) - &
& zbeta * ts(ji,jj,mld_prof(ji,jj)+2,jp_sal,Kmm) )
zdb_mle = av_b_bl(ji,jj) - zbuoy
! Timestep hmle
hmle(ji,jj) = hmle(ji,jj) + pwb0tot(ji,jj) * rn_Dt / zdb_mle
ELSE
IF ( phmle(ji,jj) > phbl(ji,jj) ) THEN
hmle(ji,jj) = hmle(ji,jj) - ( hmle(ji,jj) - hbl(ji,jj) ) * rn_Dt / rn_osm_mle_tau
ELSE
hmle(ji,jj) = hmle(ji,jj) - 10.0_wp * ( hmle(ji,jj) - hbl(ji,jj) ) * rn_Dt / rn_osm_mle_tau
END IF
END IF
hmle(ji,jj) = MAX( MIN( hmle(ji,jj), ht(ji,jj) ), gdepw(ji,jj,4,Kmm) )
IF ( ln_osm_hmle_limit ) hmle(ji,jj) = MIN( hmle(ji,jj), rn_osm_hmle_limit*hbl(ji,jj) )
hmle(ji,jj) = pmld(ji,jj) ! For now try just set hmle to pmld
END_2D
!
DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 5, jpkm1 )
IF ( hmle(ji,jj) >= gdepw(ji,jj,jk,Kmm) ) mld_prof(ji,jj) = MIN( mbkt(ji,jj), jk )
END_3D
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
phmle(ji,jj) = gdepw(ji,jj,mld_prof(ji,jj),Kmm)
END_2D
!
END SUBROUTINE zdf_osm_mle_parameters
SUBROUTINE zdf_osm_init( Kmm )
!!----------------------------------------------------------------------
!! *** ROUTINE zdf_osm_init ***
!!
!! ** Purpose : Initialization of the vertical eddy diffivity and
!! viscosity when using a osm turbulent closure scheme
!!
!! ** Method : Read the namosm namelist and check the parameters
!! called at the first timestep (nit000)
!!
!! ** input : Namlists namzdf_osm and namosm_mle
!!
!!----------------------------------------------------------------------
INTEGER, INTENT(in ) :: Kmm ! Time level
!!