[2048] | 1 | MODULE zdfgls |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE zdfgls *** |
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| 4 | !! Ocean physics: vertical mixing coefficient computed from the gls |
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| 5 | !! turbulent closure parameterization |
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| 6 | !!====================================================================== |
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[9019] | 7 | !! History : 3.0 ! 2009-09 (G. Reffray) Original code |
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| 8 | !! 3.3 ! 2010-10 (C. Bricaud) Add in the reference |
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| 9 | !! 4.0 ! 2017-04 (G. Madec) remove CPP keys & avm at t-point only |
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| 10 | !! - ! 2017-05 (G. Madec) add top friction as boundary condition |
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[2048] | 11 | !!---------------------------------------------------------------------- |
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[9019] | 12 | |
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[2048] | 13 | !!---------------------------------------------------------------------- |
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[3625] | 14 | !! zdf_gls : update momentum and tracer Kz from a gls scheme |
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| 15 | !! zdf_gls_init : initialization, namelist read, and parameters control |
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| 16 | !! gls_rst : read/write gls restart in ocean restart file |
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[2048] | 17 | !!---------------------------------------------------------------------- |
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| 18 | USE oce ! ocean dynamics and active tracers |
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| 19 | USE dom_oce ! ocean space and time domain |
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| 20 | USE domvvl ! ocean space and time domain : variable volume layer |
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[13553] | 21 | USE zdfdrg , ONLY : ln_drg_OFF ! top/bottom free-slip flag |
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[9019] | 22 | USE zdfdrg , ONLY : r_z0_top , r_z0_bot ! top/bottom roughness |
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| 23 | USE zdfdrg , ONLY : rCdU_top , rCdU_bot ! top/bottom friction |
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[2048] | 24 | USE sbc_oce ! surface boundary condition: ocean |
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| 25 | USE phycst ! physical constants |
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| 26 | USE zdfmxl ! mixed layer |
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[9019] | 27 | USE sbcwave , ONLY : hsw ! significant wave height |
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[7646] | 28 | ! |
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[2048] | 29 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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[2715] | 30 | USE lib_mpp ! MPP manager |
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[2048] | 31 | USE prtctl ! Print control |
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| 32 | USE in_out_manager ! I/O manager |
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| 33 | USE iom ! I/O manager library |
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[9089] | 34 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[2048] | 35 | |
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| 36 | IMPLICIT NONE |
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| 37 | PRIVATE |
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| 38 | |
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[9019] | 39 | PUBLIC zdf_gls ! called in zdfphy |
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| 40 | PUBLIC zdf_gls_init ! called in zdfphy |
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| 41 | PUBLIC gls_rst ! called in zdfphy |
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[2048] | 42 | |
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[2715] | 43 | ! |
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[9019] | 44 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: hmxl_n !: now mixing length |
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[2715] | 45 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: zwall !: wall function |
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[9019] | 46 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ustar2_surf !: Squared surface velocity scale at T-points |
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| 47 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ustar2_top !: Squared top velocity scale at T-points |
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| 48 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ustar2_bot !: Squared bottom velocity scale at T-points |
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[2048] | 49 | |
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[4147] | 50 | ! !! ** Namelist namzdf_gls ** |
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| 51 | LOGICAL :: ln_length_lim ! use limit on the dissipation rate under stable stratification (Galperin et al. 1988) |
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| 52 | LOGICAL :: ln_sigpsi ! Activate Burchard (2003) modification for k-eps closure & wave breaking mixing |
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[5109] | 53 | INTEGER :: nn_bc_surf ! surface boundary condition (=0/1) |
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| 54 | INTEGER :: nn_bc_bot ! bottom boundary condition (=0/1) |
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| 55 | INTEGER :: nn_z0_met ! Method for surface roughness computation |
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[13553] | 56 | INTEGER :: nn_z0_ice ! Roughness accounting for sea ice |
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[4147] | 57 | INTEGER :: nn_stab_func ! stability functions G88, KC or Canuto (=0/1/2) |
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| 58 | INTEGER :: nn_clos ! closure 0/1/2/3 MY82/k-eps/k-w/gen |
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| 59 | REAL(wp) :: rn_clim_galp ! Holt 2008 value for k-eps: 0.267 |
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| 60 | REAL(wp) :: rn_epsmin ! minimum value of dissipation (m2/s3) |
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| 61 | REAL(wp) :: rn_emin ! minimum value of TKE (m2/s2) |
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| 62 | REAL(wp) :: rn_charn ! Charnock constant for surface breaking waves mixing : 1400. (standard) or 2.e5 (Stacey value) |
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| 63 | REAL(wp) :: rn_crban ! Craig and Banner constant for surface breaking waves mixing |
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[5109] | 64 | REAL(wp) :: rn_hsro ! Minimum surface roughness |
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[13553] | 65 | REAL(wp) :: rn_hsri ! Ice ocean roughness |
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[5109] | 66 | REAL(wp) :: rn_frac_hs ! Fraction of wave height as surface roughness (if nn_z0_met > 1) |
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[2048] | 67 | |
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[2397] | 68 | REAL(wp) :: rcm_sf = 0.73_wp ! Shear free turbulence parameters |
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| 69 | REAL(wp) :: ra_sf = -2.0_wp ! Must be negative -2 < ra_sf < -1 |
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| 70 | REAL(wp) :: rl_sf = 0.2_wp ! 0 <rl_sf<vkarmn |
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| 71 | REAL(wp) :: rghmin = -0.28_wp |
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| 72 | REAL(wp) :: rgh0 = 0.0329_wp |
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| 73 | REAL(wp) :: rghcri = 0.03_wp |
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[2299] | 74 | REAL(wp) :: ra1 = 0.92_wp |
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| 75 | REAL(wp) :: ra2 = 0.74_wp |
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| 76 | REAL(wp) :: rb1 = 16.60_wp |
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| 77 | REAL(wp) :: rb2 = 10.10_wp |
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| 78 | REAL(wp) :: re2 = 1.33_wp |
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| 79 | REAL(wp) :: rl1 = 0.107_wp |
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| 80 | REAL(wp) :: rl2 = 0.0032_wp |
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| 81 | REAL(wp) :: rl3 = 0.0864_wp |
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| 82 | REAL(wp) :: rl4 = 0.12_wp |
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| 83 | REAL(wp) :: rl5 = 11.9_wp |
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| 84 | REAL(wp) :: rl6 = 0.4_wp |
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| 85 | REAL(wp) :: rl7 = 0.0_wp |
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| 86 | REAL(wp) :: rl8 = 0.48_wp |
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| 87 | REAL(wp) :: rm1 = 0.127_wp |
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| 88 | REAL(wp) :: rm2 = 0.00336_wp |
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| 89 | REAL(wp) :: rm3 = 0.0906_wp |
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| 90 | REAL(wp) :: rm4 = 0.101_wp |
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| 91 | REAL(wp) :: rm5 = 11.2_wp |
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| 92 | REAL(wp) :: rm6 = 0.4_wp |
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| 93 | REAL(wp) :: rm7 = 0.0_wp |
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| 94 | REAL(wp) :: rm8 = 0.318_wp |
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[5109] | 95 | REAL(wp) :: rtrans = 0.1_wp |
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[2397] | 96 | REAL(wp) :: rc02, rc02r, rc03, rc04 ! coefficients deduced from above parameters |
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[5109] | 97 | REAL(wp) :: rsbc_tke1, rsbc_tke2, rfact_tke ! - - - - |
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| 98 | REAL(wp) :: rsbc_psi1, rsbc_psi2, rfact_psi ! - - - - |
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| 99 | REAL(wp) :: rsbc_zs1, rsbc_zs2 ! - - - - |
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[2397] | 100 | REAL(wp) :: rc0, rc2, rc3, rf6, rcff, rc_diff ! - - - - |
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| 101 | REAL(wp) :: rs0, rs1, rs2, rs4, rs5, rs6 ! - - - - |
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| 102 | REAL(wp) :: rd0, rd1, rd2, rd3, rd4, rd5 ! - - - - |
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| 103 | REAL(wp) :: rsc_tke, rsc_psi, rpsi1, rpsi2, rpsi3, rsc_psi0 ! - - - - |
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| 104 | REAL(wp) :: rpsi3m, rpsi3p, rpp, rmm, rnn ! - - - - |
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[9019] | 105 | ! |
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| 106 | REAL(wp) :: r2_3 = 2._wp/3._wp ! constant=2/3 |
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[2299] | 107 | |
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[2048] | 108 | !! * Substitutions |
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[12377] | 109 | # include "do_loop_substitute.h90" |
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[13237] | 110 | # include "domzgr_substitute.h90" |
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[2048] | 111 | !!---------------------------------------------------------------------- |
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[9598] | 112 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[2715] | 113 | !! $Id$ |
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[10068] | 114 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[2048] | 115 | !!---------------------------------------------------------------------- |
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| 116 | CONTAINS |
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| 117 | |
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[2715] | 118 | INTEGER FUNCTION zdf_gls_alloc() |
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| 119 | !!---------------------------------------------------------------------- |
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| 120 | !! *** FUNCTION zdf_gls_alloc *** |
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| 121 | !!---------------------------------------------------------------------- |
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[9019] | 122 | ALLOCATE( hmxl_n(jpi,jpj,jpk) , ustar2_surf(jpi,jpj) , & |
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| 123 | & zwall (jpi,jpj,jpk) , ustar2_top (jpi,jpj) , ustar2_bot(jpi,jpj) , STAT= zdf_gls_alloc ) |
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[2715] | 124 | ! |
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[10425] | 125 | CALL mpp_sum ( 'zdfgls', zdf_gls_alloc ) |
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| 126 | IF( zdf_gls_alloc /= 0 ) CALL ctl_stop( 'STOP', 'zdf_gls_alloc: failed to allocate arrays' ) |
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[2715] | 127 | END FUNCTION zdf_gls_alloc |
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| 128 | |
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| 129 | |
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[12377] | 130 | SUBROUTINE zdf_gls( kt, Kbb, Kmm, p_sh2, p_avm, p_avt ) |
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[2048] | 131 | !!---------------------------------------------------------------------- |
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| 132 | !! *** ROUTINE zdf_gls *** |
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| 133 | !! |
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| 134 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
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[2397] | 135 | !! coefficients using the GLS turbulent closure scheme. |
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[2048] | 136 | !!---------------------------------------------------------------------- |
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[9019] | 137 | USE zdf_oce , ONLY : en, avtb, avmb ! ocean vertical physics |
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| 138 | !! |
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| 139 | INTEGER , INTENT(in ) :: kt ! ocean time step |
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[12377] | 140 | INTEGER , INTENT(in ) :: Kbb, Kmm ! ocean time level indices |
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[9019] | 141 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: p_sh2 ! shear production term |
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| 142 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: p_avm, p_avt ! momentum and tracer Kz (w-points) |
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| 143 | ! |
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| 144 | INTEGER :: ji, jj, jk ! dummy loop arguments |
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| 145 | INTEGER :: ibot, ibotm1 ! local integers |
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| 146 | INTEGER :: itop, itopp1 ! - - |
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| 147 | REAL(wp) :: zesh2, zsigpsi, zcoef, zex1 , zex2 ! local scalars |
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| 148 | REAL(wp) :: ztx2, zty2, zup, zdown, zcof, zdir ! - - |
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| 149 | REAL(wp) :: zratio, zrn2, zflxb, sh , z_en ! - - |
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[2397] | 150 | REAL(wp) :: prod, buoy, diss, zdiss, sm ! - - |
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[9019] | 151 | REAL(wp) :: gh, gm, shr, dif, zsqen, zavt, zavm ! - - |
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| 152 | REAL(wp) :: zmsku, zmskv ! - - |
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| 153 | REAL(wp), DIMENSION(jpi,jpj) :: zdep |
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| 154 | REAL(wp), DIMENSION(jpi,jpj) :: zkar |
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| 155 | REAL(wp), DIMENSION(jpi,jpj) :: zflxs ! Turbulence fluxed induced by internal waves |
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| 156 | REAL(wp), DIMENSION(jpi,jpj) :: zhsro ! Surface roughness (surface waves) |
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[13553] | 157 | REAL(wp), DIMENSION(jpi,jpj) :: zice_fra ! Tapering of wave breaking under sea ice |
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[9019] | 158 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: eb ! tke at time before |
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| 159 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: hmxl_b ! mixing length at time before |
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| 160 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: eps ! dissipation rate |
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| 161 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwall_psi ! Wall function use in the wb case (ln_sigpsi) |
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| 162 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: psi ! psi at time now |
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| 163 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zd_lw, zd_up, zdiag ! lower, upper and diagonal of the matrix |
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| 164 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zstt, zstm ! stability function on tracer and momentum |
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[2048] | 165 | !!-------------------------------------------------------------------- |
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[3294] | 166 | ! |
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[2048] | 167 | ! Preliminary computing |
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| 168 | |
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[9019] | 169 | ustar2_surf(:,:) = 0._wp ; psi(:,:,:) = 0._wp |
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| 170 | ustar2_top (:,:) = 0._wp ; zwall_psi(:,:,:) = 0._wp |
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| 171 | ustar2_bot (:,:) = 0._wp |
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[2048] | 172 | |
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[13553] | 173 | SELECT CASE ( nn_z0_ice ) |
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| 174 | CASE( 0 ) ; zice_fra(:,:) = 0._wp |
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| 175 | CASE( 1 ) ; zice_fra(:,:) = TANH( fr_i(:,:) * 10._wp ) |
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| 176 | CASE( 2 ) ; zice_fra(:,:) = fr_i(:,:) |
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| 177 | CASE( 3 ) ; zice_fra(:,:) = MIN( 4._wp * fr_i(:,:) , 1._wp ) |
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| 178 | END SELECT |
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| 179 | |
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[9019] | 180 | ! Compute surface, top and bottom friction at T-points |
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[13553] | 181 | DO_2D( 0, 0, 0, 0 ) !== surface ocean friction |
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| 182 | ustar2_surf(ji,jj) = r1_rho0 * taum(ji,jj) * tmask(ji,jj,1) ! surface friction |
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[12377] | 183 | END_2D |
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[13553] | 184 | ! |
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| 185 | !!gm Rq we may add here r_ke0(_top/_bot) ? ==>> think about that... |
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| 186 | ! |
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| 187 | IF( .NOT.ln_drg_OFF ) THEN !== top/bottom friction (explicit before friction) |
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| 188 | DO_2D( 0, 0, 0, 0 ) ! bottom friction (explicit before friction) |
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| 189 | zmsku = ( 2._wp - umask(ji-1,jj,mbkt(ji,jj)) * umask(ji,jj,mbkt(ji,jj)) ) |
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| 190 | zmskv = ( 2._wp - vmask(ji,jj-1,mbkt(ji,jj)) * vmask(ji,jj,mbkt(ji,jj)) ) ! (CAUTION: CdU<0) |
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| 191 | ustar2_bot(ji,jj) = - rCdU_bot(ji,jj) * SQRT( ( zmsku*( uu(ji,jj,mbkt(ji,jj),Kbb)+uu(ji-1,jj,mbkt(ji,jj),Kbb) ) )**2 & |
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| 192 | & + ( zmskv*( vv(ji,jj,mbkt(ji,jj),Kbb)+vv(ji,jj-1,mbkt(ji,jj),Kbb) ) )**2 ) |
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[12377] | 193 | END_2D |
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[13553] | 194 | IF( ln_isfcav ) THEN |
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| 195 | DO_2D( 0, 0, 0, 0 ) ! top friction |
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| 196 | zmsku = ( 2. - umask(ji-1,jj,mikt(ji,jj)) * umask(ji,jj,mikt(ji,jj)) ) |
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| 197 | zmskv = ( 2. - vmask(ji,jj-1,mikt(ji,jj)) * vmask(ji,jj,mikt(ji,jj)) ) ! (CAUTION: CdU<0) |
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| 198 | ustar2_top(ji,jj) = - rCdU_top(ji,jj) * SQRT( ( zmsku*( uu(ji,jj,mikt(ji,jj),Kbb)+uu(ji-1,jj,mikt(ji,jj),Kbb) ) )**2 & |
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| 199 | & + ( zmskv*( vv(ji,jj,mikt(ji,jj),Kbb)+vv(ji,jj-1,mikt(ji,jj),Kbb) ) )**2 ) |
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| 200 | END_2D |
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| 201 | ENDIF |
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[9019] | 202 | ENDIF |
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| 203 | |
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| 204 | SELECT CASE ( nn_z0_met ) !== Set surface roughness length ==! |
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| 205 | CASE ( 0 ) ! Constant roughness |
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[5109] | 206 | zhsro(:,:) = rn_hsro |
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| 207 | CASE ( 1 ) ! Standard Charnock formula |
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[9019] | 208 | zhsro(:,:) = MAX( rsbc_zs1 * ustar2_surf(:,:) , rn_hsro ) |
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[5109] | 209 | CASE ( 2 ) ! Roughness formulae according to Rascle et al., Ocean Modelling (2008) |
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[9019] | 210 | !!gm faster coding : the 2 comment lines should be used |
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| 211 | !!gm zcof = 2._wp * 0.6_wp / 28._wp |
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| 212 | !!gm zdep(:,:) = 30._wp * TANH( zcof/ SQRT( MAX(ustar2_surf(:,:),rsmall) ) ) ! Wave age (eq. 10) |
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| 213 | zdep (:,:) = 30.*TANH( 2.*0.3/(28.*SQRT(MAX(ustar2_surf(:,:),rsmall))) ) ! Wave age (eq. 10) |
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| 214 | zhsro(:,:) = MAX(rsbc_zs2 * ustar2_surf(:,:) * zdep(:,:)**1.5, rn_hsro) ! zhsro = rn_frac_hs * Hsw (eq. 11) |
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[7646] | 215 | CASE ( 3 ) ! Roughness given by the wave model (coupled or read in file) |
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[13282] | 216 | zhsro(:,:) = MAX(rn_frac_hs * hsw(:,:), rn_hsro) ! (rn_frac_hs=1.6 see Eq. (5) of Rascle et al. 2008 ) |
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[5109] | 217 | END SELECT |
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[9019] | 218 | ! |
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[13553] | 219 | ! adapt roughness where there is sea ice |
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| 220 | zhsro(:,:) = ( (1._wp-zice_fra(:,:)) * zhsro(:,:) + zice_fra(:,:) * rn_hsri )*tmask(:,:,1) + (1._wp - tmask(:,:,1))*rn_hsro |
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| 221 | ! |
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| 222 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) !== Compute dissipation rate ==! |
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[12377] | 223 | eps(ji,jj,jk) = rc03 * en(ji,jj,jk) * SQRT( en(ji,jj,jk) ) / hmxl_n(ji,jj,jk) |
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| 224 | END_3D |
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[2048] | 225 | |
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| 226 | ! Save tke at before time step |
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[9019] | 227 | eb (:,:,:) = en (:,:,:) |
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| 228 | hmxl_b(:,:,:) = hmxl_n(:,:,:) |
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[2048] | 229 | |
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[2397] | 230 | IF( nn_clos == 0 ) THEN ! Mellor-Yamada |
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[13295] | 231 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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[12377] | 232 | zup = hmxl_n(ji,jj,jk) * gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) |
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| 233 | zdown = vkarmn * gdepw(ji,jj,jk,Kmm) * ( -gdepw(ji,jj,jk,Kmm) + gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) ) |
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| 234 | zcoef = ( zup / MAX( zdown, rsmall ) ) |
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| 235 | zwall (ji,jj,jk) = ( 1._wp + re2 * zcoef*zcoef ) * tmask(ji,jj,jk) |
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| 236 | END_3D |
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[2048] | 237 | ENDIF |
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| 238 | |
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| 239 | !!---------------------------------!! |
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| 240 | !! Equation to prognostic k !! |
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| 241 | !!---------------------------------!! |
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| 242 | ! |
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| 243 | ! Now Turbulent kinetic energy (output in en) |
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| 244 | ! ------------------------------- |
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| 245 | ! Resolution of a tridiagonal linear system by a "methode de chasse" |
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| 246 | ! computation from level 2 to jpkm1 (e(1) computed after and e(jpk)=0 ). |
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| 247 | ! The surface boundary condition are set after |
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| 248 | ! The bottom boundary condition are also set after. In standard e(bottom)=0. |
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[9019] | 249 | ! zdiag : diagonal zd_up : upper diagonal zd_lw : lower diagonal |
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[2048] | 250 | ! Warning : after this step, en : right hand side of the matrix |
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| 251 | |
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[13295] | 252 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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[12377] | 253 | ! |
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| 254 | buoy = - p_avt(ji,jj,jk) * rn2(ji,jj,jk) ! stratif. destruction |
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| 255 | ! |
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| 256 | diss = eps(ji,jj,jk) ! dissipation |
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| 257 | ! |
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| 258 | zdir = 0.5_wp + SIGN( 0.5_wp, p_sh2(ji,jj,jk) + buoy ) ! zdir =1(=0) if shear(ji,jj,jk)+buoy >0(<0) |
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| 259 | ! |
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| 260 | zesh2 = zdir*(p_sh2(ji,jj,jk)+buoy)+(1._wp-zdir)*p_sh2(ji,jj,jk) ! production term |
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| 261 | zdiss = zdir*(diss/en(ji,jj,jk)) +(1._wp-zdir)*(diss-buoy)/en(ji,jj,jk) ! dissipation term |
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[9019] | 262 | !!gm better coding, identical results |
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| 263 | ! zesh2 = p_sh2(ji,jj,jk) + zdir*buoy ! production term |
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| 264 | ! zdiss = ( diss - (1._wp-zdir)*buoy ) / en(ji,jj,jk) ! dissipation term |
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| 265 | !!gm |
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[12377] | 266 | ! |
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| 267 | ! Compute a wall function from 1. to rsc_psi*zwall/rsc_psi0 |
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| 268 | ! Note that as long that Dirichlet boundary conditions are NOT set at the first and last levels (GOTM style) |
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| 269 | ! there is no need to set a boundary condition for zwall_psi at the top and bottom boundaries. |
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| 270 | ! Otherwise, this should be rsc_psi/rsc_psi0 |
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| 271 | IF( ln_sigpsi ) THEN |
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| 272 | zsigpsi = MIN( 1._wp, zesh2 / eps(ji,jj,jk) ) ! 0. <= zsigpsi <= 1. |
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| 273 | zwall_psi(ji,jj,jk) = rsc_psi / & |
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| 274 | & ( zsigpsi * rsc_psi + (1._wp-zsigpsi) * rsc_psi0 / MAX( zwall(ji,jj,jk), 1._wp ) ) |
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| 275 | ELSE |
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| 276 | zwall_psi(ji,jj,jk) = 1._wp |
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| 277 | ENDIF |
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| 278 | ! |
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| 279 | ! building the matrix |
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| 280 | zcof = rfact_tke * tmask(ji,jj,jk) |
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| 281 | ! ! lower diagonal, in fact not used for jk = 2 (see surface conditions) |
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[13237] | 282 | zd_lw(ji,jj,jk) = zcof * ( p_avm(ji,jj,jk ) + p_avm(ji,jj,jk-1) ) & |
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| 283 | & / ( e3t(ji,jj,jk-1,Kmm) * e3w(ji,jj,jk,Kmm) ) |
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[12377] | 284 | ! ! upper diagonal, in fact not used for jk = ibotm1 (see bottom conditions) |
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[13237] | 285 | zd_up(ji,jj,jk) = zcof * ( p_avm(ji,jj,jk+1) + p_avm(ji,jj,jk ) ) & |
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| 286 | & / ( e3t(ji,jj,jk ,Kmm) * e3w(ji,jj,jk,Kmm) ) |
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[12377] | 287 | ! ! diagonal |
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[12489] | 288 | zdiag(ji,jj,jk) = 1._wp - zd_lw(ji,jj,jk) - zd_up(ji,jj,jk) + rn_Dt * zdiss * wmask(ji,jj,jk) |
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[12377] | 289 | ! ! right hand side in en |
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[12489] | 290 | en(ji,jj,jk) = en(ji,jj,jk) + rn_Dt * zesh2 * wmask(ji,jj,jk) |
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[12377] | 291 | END_3D |
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[2048] | 292 | ! |
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[9019] | 293 | zdiag(:,:,jpk) = 1._wp |
---|
[2048] | 294 | ! |
---|
| 295 | ! Set surface condition on zwall_psi (1 at the bottom) |
---|
[9019] | 296 | zwall_psi(:,:, 1 ) = zwall_psi(:,:,2) |
---|
| 297 | zwall_psi(:,:,jpk) = 1._wp |
---|
[5109] | 298 | ! |
---|
[2048] | 299 | ! Surface boundary condition on tke |
---|
| 300 | ! --------------------------------- |
---|
| 301 | ! |
---|
[5109] | 302 | SELECT CASE ( nn_bc_surf ) |
---|
[2048] | 303 | ! |
---|
[9019] | 304 | CASE ( 0 ) ! Dirichlet boundary condition (set e at k=1 & 2) |
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[5109] | 305 | ! First level |
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[13553] | 306 | en (:,:,1) = MAX( rn_emin , rc02r * ustar2_surf(:,:) * (1._wp + (1._wp-zice_fra(:,:))*rsbc_tke1)**r2_3 ) |
---|
[9019] | 307 | zd_lw(:,:,1) = en(:,:,1) |
---|
| 308 | zd_up(:,:,1) = 0._wp |
---|
| 309 | zdiag(:,:,1) = 1._wp |
---|
[5109] | 310 | ! |
---|
| 311 | ! One level below |
---|
[13553] | 312 | en (:,:,2) = MAX( rc02r * ustar2_surf(:,:) * ( 1._wp + (1._wp-zice_fra(:,:))*rsbc_tke1 * ((zhsro(:,:)+gdepw(:,:,2,Kmm)) & |
---|
| 313 | & / zhsro(:,:) )**(1.5_wp*ra_sf) )**(2._wp/3._wp) , rn_emin ) |
---|
[9019] | 314 | zd_lw(:,:,2) = 0._wp |
---|
| 315 | zd_up(:,:,2) = 0._wp |
---|
| 316 | zdiag(:,:,2) = 1._wp |
---|
[5109] | 317 | ! |
---|
| 318 | ! |
---|
[9019] | 319 | CASE ( 1 ) ! Neumann boundary condition (set d(e)/dz) |
---|
[5109] | 320 | ! |
---|
| 321 | ! Dirichlet conditions at k=1 |
---|
[13553] | 322 | en (:,:,1) = MAX( rc02r * ustar2_surf(:,:) * (1._wp + (1._wp-zice_fra(:,:))*rsbc_tke1)**r2_3 , rn_emin ) |
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[9019] | 323 | zd_lw(:,:,1) = en(:,:,1) |
---|
| 324 | zd_up(:,:,1) = 0._wp |
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| 325 | zdiag(:,:,1) = 1._wp |
---|
[5109] | 326 | ! |
---|
| 327 | ! at k=2, set de/dz=Fw |
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| 328 | !cbr |
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[13553] | 329 | DO_2D( 0, 0, 0, 0 ) ! zdiag zd_lw not defined/used on the halo |
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| 330 | zdiag(ji,jj,2) = zdiag(ji,jj,2) + zd_lw(ji,jj,2) ! Remove zd_lw from zdiag |
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| 331 | zd_lw(ji,jj,2) = 0._wp |
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| 332 | END_2D |
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[12377] | 333 | zkar (:,:) = (rl_sf + (vkarmn-rl_sf)*(1.-EXP(-rtrans*gdept(:,:,1,Kmm)/zhsro(:,:)) )) |
---|
[13553] | 334 | zflxs(:,:) = rsbc_tke2 * (1._wp-zice_fra(:,:)) * ustar2_surf(:,:)**1.5_wp * zkar(:,:) & |
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[12377] | 335 | & * ( ( zhsro(:,:)+gdept(:,:,1,Kmm) ) / zhsro(:,:) )**(1.5_wp*ra_sf) |
---|
| 336 | !!gm why not : * ( 1._wp + gdept(:,:,1,Kmm) / zhsro(:,:) )**(1.5_wp*ra_sf) |
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| 337 | en(:,:,2) = en(:,:,2) + zflxs(:,:) / e3w(:,:,2,Kmm) |
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[5109] | 338 | ! |
---|
| 339 | ! |
---|
[2048] | 340 | END SELECT |
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| 341 | |
---|
| 342 | ! Bottom boundary condition on tke |
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| 343 | ! -------------------------------- |
---|
| 344 | ! |
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[5109] | 345 | SELECT CASE ( nn_bc_bot ) |
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[2048] | 346 | ! |
---|
| 347 | CASE ( 0 ) ! Dirichlet |
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[9019] | 348 | ! ! en(ibot) = u*^2 / Co2 and hmxl_n(ibot) = rn_lmin |
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[2397] | 349 | ! ! Balance between the production and the dissipation terms |
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[13295] | 350 | DO_2D( 0, 0, 0, 0 ) |
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[9019] | 351 | !!gm This means that bottom and ocean w-level above have a specified "en" value. Sure ???? |
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| 352 | !! With thick deep ocean level thickness, this may be quite large, no ??? |
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| 353 | !! in particular in ocean cavities where top stratification can be large... |
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[12377] | 354 | ibot = mbkt(ji,jj) + 1 ! k bottom level of w-point |
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| 355 | ibotm1 = mbkt(ji,jj) ! k-1 bottom level of w-point but >=1 |
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| 356 | ! |
---|
| 357 | z_en = MAX( rc02r * ustar2_bot(ji,jj), rn_emin ) |
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| 358 | ! |
---|
| 359 | ! Dirichlet condition applied at: |
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| 360 | ! Bottom level (ibot) & Just above it (ibotm1) |
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| 361 | zd_lw(ji,jj,ibot) = 0._wp ; zd_lw(ji,jj,ibotm1) = 0._wp |
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| 362 | zd_up(ji,jj,ibot) = 0._wp ; zd_up(ji,jj,ibotm1) = 0._wp |
---|
| 363 | zdiag(ji,jj,ibot) = 1._wp ; zdiag(ji,jj,ibotm1) = 1._wp |
---|
| 364 | en (ji,jj,ibot) = z_en ; en (ji,jj,ibotm1) = z_en |
---|
| 365 | END_2D |
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[2397] | 366 | ! |
---|
[9019] | 367 | IF( ln_isfcav) THEN ! top boundary (ocean cavity) |
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[13295] | 368 | DO_2D( 0, 0, 0, 0 ) |
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[12377] | 369 | itop = mikt(ji,jj) ! k top w-point |
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| 370 | itopp1 = mikt(ji,jj) + 1 ! k+1 1st w-point below the top one |
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| 371 | ! ! mask at the ocean surface points |
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| 372 | z_en = MAX( rc02r * ustar2_top(ji,jj), rn_emin ) * ( 1._wp - tmask(ji,jj,1) ) |
---|
| 373 | ! |
---|
[9019] | 374 | !!gm TO BE VERIFIED !!! |
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[12377] | 375 | ! Dirichlet condition applied at: |
---|
| 376 | ! top level (itop) & Just below it (itopp1) |
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| 377 | zd_lw(ji,jj,itop) = 0._wp ; zd_lw(ji,jj,itopp1) = 0._wp |
---|
| 378 | zd_up(ji,jj,itop) = 0._wp ; zd_up(ji,jj,itopp1) = 0._wp |
---|
| 379 | zdiag(ji,jj,itop) = 1._wp ; zdiag(ji,jj,itopp1) = 1._wp |
---|
| 380 | en (ji,jj,itop) = z_en ; en (ji,jj,itopp1) = z_en |
---|
| 381 | END_2D |
---|
[9019] | 382 | ENDIF |
---|
| 383 | ! |
---|
[2048] | 384 | CASE ( 1 ) ! Neumman boundary condition |
---|
[2397] | 385 | ! |
---|
[13295] | 386 | DO_2D( 0, 0, 0, 0 ) |
---|
[12377] | 387 | ibot = mbkt(ji,jj) + 1 ! k bottom level of w-point |
---|
| 388 | ibotm1 = mbkt(ji,jj) ! k-1 bottom level of w-point but >=1 |
---|
| 389 | ! |
---|
| 390 | z_en = MAX( rc02r * ustar2_bot(ji,jj), rn_emin ) |
---|
| 391 | ! |
---|
| 392 | ! Bottom level Dirichlet condition: |
---|
| 393 | ! Bottom level (ibot) & Just above it (ibotm1) |
---|
| 394 | ! Dirichlet ! Neumann |
---|
| 395 | zd_lw(ji,jj,ibot) = 0._wp ! ! Remove zd_up from zdiag |
---|
| 396 | zdiag(ji,jj,ibot) = 1._wp ; zdiag(ji,jj,ibotm1) = zdiag(ji,jj,ibotm1) + zd_up(ji,jj,ibotm1) |
---|
| 397 | zd_up(ji,jj,ibot) = 0._wp ; zd_up(ji,jj,ibotm1) = 0._wp |
---|
| 398 | END_2D |
---|
| 399 | IF( ln_isfcav) THEN ! top boundary (ocean cavity) |
---|
[13295] | 400 | DO_2D( 0, 0, 0, 0 ) |
---|
[12377] | 401 | itop = mikt(ji,jj) ! k top w-point |
---|
| 402 | itopp1 = mikt(ji,jj) + 1 ! k+1 1st w-point below the top one |
---|
| 403 | ! ! mask at the ocean surface points |
---|
| 404 | z_en = MAX( rc02r * ustar2_top(ji,jj), rn_emin ) * ( 1._wp - tmask(ji,jj,1) ) |
---|
[2397] | 405 | ! |
---|
| 406 | ! Bottom level Dirichlet condition: |
---|
[9019] | 407 | ! Bottom level (ibot) & Just above it (ibotm1) |
---|
| 408 | ! Dirichlet ! Neumann |
---|
[12377] | 409 | zd_lw(ji,jj,itop) = 0._wp ! ! Remove zd_up from zdiag |
---|
| 410 | zdiag(ji,jj,itop) = 1._wp ; zdiag(ji,jj,itopp1) = zdiag(ji,jj,itopp1) + zd_up(ji,jj,itopp1) |
---|
| 411 | zd_up(ji,jj,itop) = 0._wp ; zd_up(ji,jj,itopp1) = 0._wp |
---|
| 412 | END_2D |
---|
[9019] | 413 | ENDIF |
---|
[2397] | 414 | ! |
---|
[2048] | 415 | END SELECT |
---|
| 416 | |
---|
| 417 | ! Matrix inversion (en prescribed at surface and the bottom) |
---|
| 418 | ! ---------------------------------------------------------- |
---|
| 419 | ! |
---|
[13553] | 420 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1 |
---|
[12377] | 421 | zdiag(ji,jj,jk) = zdiag(ji,jj,jk) - zd_lw(ji,jj,jk) * zd_up(ji,jj,jk-1) / zdiag(ji,jj,jk-1) |
---|
| 422 | END_3D |
---|
[13553] | 423 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1 |
---|
[12377] | 424 | zd_lw(ji,jj,jk) = en(ji,jj,jk) - zd_lw(ji,jj,jk) / zdiag(ji,jj,jk-1) * zd_lw(ji,jj,jk-1) |
---|
| 425 | END_3D |
---|
[13553] | 426 | DO_3DS( 0, 0, 0, 0, jpkm1, 2, -1 ) ! thrid recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk |
---|
[12377] | 427 | en(ji,jj,jk) = ( zd_lw(ji,jj,jk) - zd_up(ji,jj,jk) * en(ji,jj,jk+1) ) / zdiag(ji,jj,jk) |
---|
| 428 | END_3D |
---|
[2397] | 429 | ! ! set the minimum value of tke |
---|
[2048] | 430 | en(:,:,:) = MAX( en(:,:,:), rn_emin ) |
---|
[5109] | 431 | |
---|
[2048] | 432 | !!----------------------------------------!! |
---|
| 433 | !! Solve prognostic equation for psi !! |
---|
| 434 | !!----------------------------------------!! |
---|
| 435 | |
---|
| 436 | ! Set psi to previous time step value |
---|
| 437 | ! |
---|
| 438 | SELECT CASE ( nn_clos ) |
---|
| 439 | ! |
---|
| 440 | CASE( 0 ) ! k-kl (Mellor-Yamada) |
---|
[13295] | 441 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
[12377] | 442 | psi(ji,jj,jk) = eb(ji,jj,jk) * hmxl_b(ji,jj,jk) |
---|
| 443 | END_3D |
---|
[2397] | 444 | ! |
---|
[2048] | 445 | CASE( 1 ) ! k-eps |
---|
[13295] | 446 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
[12377] | 447 | psi(ji,jj,jk) = eps(ji,jj,jk) |
---|
| 448 | END_3D |
---|
[2397] | 449 | ! |
---|
[2048] | 450 | CASE( 2 ) ! k-w |
---|
[13295] | 451 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
[12377] | 452 | psi(ji,jj,jk) = SQRT( eb(ji,jj,jk) ) / ( rc0 * hmxl_b(ji,jj,jk) ) |
---|
| 453 | END_3D |
---|
[2397] | 454 | ! |
---|
| 455 | CASE( 3 ) ! generic |
---|
[13295] | 456 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
[12377] | 457 | psi(ji,jj,jk) = rc02 * eb(ji,jj,jk) * hmxl_b(ji,jj,jk)**rnn |
---|
| 458 | END_3D |
---|
[2397] | 459 | ! |
---|
[2048] | 460 | END SELECT |
---|
| 461 | ! |
---|
| 462 | ! Now gls (output in psi) |
---|
| 463 | ! ------------------------------- |
---|
| 464 | ! Resolution of a tridiagonal linear system by a "methode de chasse" |
---|
| 465 | ! computation from level 2 to jpkm1 (e(1) already computed and e(jpk)=0 ). |
---|
[9019] | 466 | ! zdiag : diagonal zd_up : upper diagonal zd_lw : lower diagonal |
---|
[2048] | 467 | ! Warning : after this step, en : right hand side of the matrix |
---|
| 468 | |
---|
[13295] | 469 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
[12377] | 470 | ! |
---|
| 471 | ! psi / k |
---|
| 472 | zratio = psi(ji,jj,jk) / eb(ji,jj,jk) |
---|
| 473 | ! |
---|
| 474 | ! psi3+ : stable : B=-KhN²<0 => N²>0 if rn2>0 zdir = 1 (stable) otherwise zdir = 0 (unstable) |
---|
| 475 | zdir = 0.5_wp + SIGN( 0.5_wp, rn2(ji,jj,jk) ) |
---|
| 476 | ! |
---|
| 477 | rpsi3 = zdir * rpsi3m + ( 1._wp - zdir ) * rpsi3p |
---|
| 478 | ! |
---|
| 479 | ! shear prod. - stratif. destruction |
---|
| 480 | prod = rpsi1 * zratio * p_sh2(ji,jj,jk) |
---|
| 481 | ! |
---|
| 482 | ! stratif. destruction |
---|
| 483 | buoy = rpsi3 * zratio * (- p_avt(ji,jj,jk) * rn2(ji,jj,jk) ) |
---|
| 484 | ! |
---|
| 485 | ! shear prod. - stratif. destruction |
---|
| 486 | diss = rpsi2 * zratio * zwall(ji,jj,jk) * eps(ji,jj,jk) |
---|
| 487 | ! |
---|
| 488 | zdir = 0.5_wp + SIGN( 0.5_wp, prod + buoy ) ! zdir =1(=0) if shear(ji,jj,jk)+buoy >0(<0) |
---|
| 489 | ! |
---|
| 490 | zesh2 = zdir * ( prod + buoy ) + (1._wp - zdir ) * prod ! production term |
---|
| 491 | zdiss = zdir * ( diss / psi(ji,jj,jk) ) + (1._wp - zdir ) * (diss-buoy) / psi(ji,jj,jk) ! dissipation term |
---|
| 492 | ! |
---|
| 493 | ! building the matrix |
---|
| 494 | zcof = rfact_psi * zwall_psi(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 495 | ! ! lower diagonal |
---|
[13237] | 496 | zd_lw(ji,jj,jk) = zcof * ( p_avm(ji,jj,jk ) + p_avm(ji,jj,jk-1) ) & |
---|
| 497 | & / ( e3t(ji,jj,jk-1,Kmm) * e3w(ji,jj,jk,Kmm) ) |
---|
[12377] | 498 | ! ! upper diagonal |
---|
[13237] | 499 | zd_up(ji,jj,jk) = zcof * ( p_avm(ji,jj,jk+1) + p_avm(ji,jj,jk ) ) & |
---|
| 500 | & / ( e3t(ji,jj,jk ,Kmm) * e3w(ji,jj,jk,Kmm) ) |
---|
[12377] | 501 | ! ! diagonal |
---|
[12489] | 502 | zdiag(ji,jj,jk) = 1._wp - zd_lw(ji,jj,jk) - zd_up(ji,jj,jk) + rn_Dt * zdiss * wmask(ji,jj,jk) |
---|
[12377] | 503 | ! ! right hand side in psi |
---|
[12489] | 504 | psi(ji,jj,jk) = psi(ji,jj,jk) + rn_Dt * zesh2 * wmask(ji,jj,jk) |
---|
[12377] | 505 | END_3D |
---|
[2048] | 506 | ! |
---|
[9019] | 507 | zdiag(:,:,jpk) = 1._wp |
---|
[2048] | 508 | |
---|
| 509 | ! Surface boundary condition on psi |
---|
| 510 | ! --------------------------------- |
---|
| 511 | ! |
---|
[5109] | 512 | SELECT CASE ( nn_bc_surf ) |
---|
[2048] | 513 | ! |
---|
| 514 | CASE ( 0 ) ! Dirichlet boundary conditions |
---|
[9019] | 515 | ! |
---|
| 516 | ! Surface value |
---|
| 517 | zdep (:,:) = zhsro(:,:) * rl_sf ! Cosmetic |
---|
| 518 | psi (:,:,1) = rc0**rpp * en(:,:,1)**rmm * zdep(:,:)**rnn * tmask(:,:,1) |
---|
| 519 | zd_lw(:,:,1) = psi(:,:,1) |
---|
| 520 | zd_up(:,:,1) = 0._wp |
---|
| 521 | zdiag(:,:,1) = 1._wp |
---|
| 522 | ! |
---|
| 523 | ! One level below |
---|
[12377] | 524 | zkar (:,:) = (rl_sf + (vkarmn-rl_sf)*(1._wp-EXP(-rtrans*gdepw(:,:,2,Kmm)/zhsro(:,:) ))) |
---|
| 525 | zdep (:,:) = (zhsro(:,:) + gdepw(:,:,2,Kmm)) * zkar(:,:) |
---|
[9019] | 526 | psi (:,:,2) = rc0**rpp * en(:,:,2)**rmm * zdep(:,:)**rnn * tmask(:,:,1) |
---|
| 527 | zd_lw(:,:,2) = 0._wp |
---|
| 528 | zd_up(:,:,2) = 0._wp |
---|
| 529 | zdiag(:,:,2) = 1._wp |
---|
| 530 | ! |
---|
[2048] | 531 | CASE ( 1 ) ! Neumann boundary condition on d(psi)/dz |
---|
[9019] | 532 | ! |
---|
| 533 | ! Surface value: Dirichlet |
---|
| 534 | zdep (:,:) = zhsro(:,:) * rl_sf |
---|
| 535 | psi (:,:,1) = rc0**rpp * en(:,:,1)**rmm * zdep(:,:)**rnn * tmask(:,:,1) |
---|
| 536 | zd_lw(:,:,1) = psi(:,:,1) |
---|
| 537 | zd_up(:,:,1) = 0._wp |
---|
| 538 | zdiag(:,:,1) = 1._wp |
---|
| 539 | ! |
---|
| 540 | ! Neumann condition at k=2 |
---|
[13553] | 541 | DO_2D( 0, 0, 0, 0 ) ! zdiag zd_lw not defined/used on the halo |
---|
| 542 | zdiag(ji,jj,2) = zdiag(ji,jj,2) + zd_lw(ji,jj,2) ! Remove zd_lw from zdiag |
---|
| 543 | zd_lw(ji,jj,2) = 0._wp |
---|
| 544 | END_2D |
---|
[9019] | 545 | ! |
---|
| 546 | ! Set psi vertical flux at the surface: |
---|
[12377] | 547 | zkar (:,:) = rl_sf + (vkarmn-rl_sf)*(1._wp-EXP(-rtrans*gdept(:,:,1,Kmm)/zhsro(:,:) )) ! Lengh scale slope |
---|
| 548 | zdep (:,:) = ((zhsro(:,:) + gdept(:,:,1,Kmm)) / zhsro(:,:))**(rmm*ra_sf) |
---|
[13553] | 549 | zflxs(:,:) = (rnn + (1._wp-zice_fra(:,:))*rsbc_tke1 * (rnn + rmm*ra_sf) * zdep(:,:)) & |
---|
| 550 | & *(1._wp + (1._wp-zice_fra(:,:))*rsbc_tke1*zdep(:,:))**(2._wp*rmm/3._wp-1_wp) |
---|
[9019] | 551 | zdep (:,:) = rsbc_psi1 * (zwall_psi(:,:,1)*p_avm(:,:,1)+zwall_psi(:,:,2)*p_avm(:,:,2)) * & |
---|
[12377] | 552 | & ustar2_surf(:,:)**rmm * zkar(:,:)**rnn * (zhsro(:,:) + gdept(:,:,1,Kmm))**(rnn-1.) |
---|
[9019] | 553 | zflxs(:,:) = zdep(:,:) * zflxs(:,:) |
---|
[12377] | 554 | psi (:,:,2) = psi(:,:,2) + zflxs(:,:) / e3w(:,:,2,Kmm) |
---|
[9019] | 555 | ! |
---|
[2048] | 556 | END SELECT |
---|
| 557 | |
---|
| 558 | ! Bottom boundary condition on psi |
---|
| 559 | ! -------------------------------- |
---|
| 560 | ! |
---|
[9019] | 561 | !!gm should be done for ISF (top boundary cond.) |
---|
| 562 | !!gm so, totally new staff needed ===>>> think about that ! |
---|
| 563 | ! |
---|
| 564 | SELECT CASE ( nn_bc_bot ) ! bottom boundary |
---|
[2048] | 565 | ! |
---|
| 566 | CASE ( 0 ) ! Dirichlet |
---|
[9019] | 567 | ! ! en(ibot) = u*^2 / Co2 and hmxl_n(ibot) = vkarmn * r_z0_bot |
---|
[2397] | 568 | ! ! Balance between the production and the dissipation terms |
---|
[13295] | 569 | DO_2D( 0, 0, 0, 0 ) |
---|
[12377] | 570 | ibot = mbkt(ji,jj) + 1 ! k bottom level of w-point |
---|
| 571 | ibotm1 = mbkt(ji,jj) ! k-1 bottom level of w-point but >=1 |
---|
| 572 | zdep(ji,jj) = vkarmn * r_z0_bot |
---|
| 573 | psi (ji,jj,ibot) = rc0**rpp * en(ji,jj,ibot)**rmm * zdep(ji,jj)**rnn |
---|
| 574 | zd_lw(ji,jj,ibot) = 0._wp |
---|
| 575 | zd_up(ji,jj,ibot) = 0._wp |
---|
| 576 | zdiag(ji,jj,ibot) = 1._wp |
---|
| 577 | ! |
---|
| 578 | ! Just above last level, Dirichlet condition again (GOTM like) |
---|
| 579 | zdep(ji,jj) = vkarmn * ( r_z0_bot + e3t(ji,jj,ibotm1,Kmm) ) |
---|
| 580 | psi (ji,jj,ibotm1) = rc0**rpp * en(ji,jj,ibot )**rmm * zdep(ji,jj)**rnn |
---|
| 581 | zd_lw(ji,jj,ibotm1) = 0._wp |
---|
| 582 | zd_up(ji,jj,ibotm1) = 0._wp |
---|
| 583 | zdiag(ji,jj,ibotm1) = 1._wp |
---|
| 584 | END_2D |
---|
[2397] | 585 | ! |
---|
[2048] | 586 | CASE ( 1 ) ! Neumman boundary condition |
---|
[2397] | 587 | ! |
---|
[13295] | 588 | DO_2D( 0, 0, 0, 0 ) |
---|
[12377] | 589 | ibot = mbkt(ji,jj) + 1 ! k bottom level of w-point |
---|
| 590 | ibotm1 = mbkt(ji,jj) ! k-1 bottom level of w-point but >=1 |
---|
| 591 | ! |
---|
| 592 | ! Bottom level Dirichlet condition: |
---|
| 593 | zdep(ji,jj) = vkarmn * r_z0_bot |
---|
| 594 | psi (ji,jj,ibot) = rc0**rpp * en(ji,jj,ibot)**rmm * zdep(ji,jj)**rnn |
---|
| 595 | ! |
---|
| 596 | zd_lw(ji,jj,ibot) = 0._wp |
---|
| 597 | zd_up(ji,jj,ibot) = 0._wp |
---|
| 598 | zdiag(ji,jj,ibot) = 1._wp |
---|
| 599 | ! |
---|
| 600 | ! Just above last level: Neumann condition with flux injection |
---|
| 601 | zdiag(ji,jj,ibotm1) = zdiag(ji,jj,ibotm1) + zd_up(ji,jj,ibotm1) ! Remove zd_up from zdiag |
---|
| 602 | zd_up(ji,jj,ibotm1) = 0. |
---|
| 603 | ! |
---|
| 604 | ! Set psi vertical flux at the bottom: |
---|
| 605 | zdep(ji,jj) = r_z0_bot + 0.5_wp*e3t(ji,jj,ibotm1,Kmm) |
---|
| 606 | zflxb = rsbc_psi2 * ( p_avm(ji,jj,ibot) + p_avm(ji,jj,ibotm1) ) & |
---|
| 607 | & * (0.5_wp*(en(ji,jj,ibot)+en(ji,jj,ibotm1)))**rmm * zdep(ji,jj)**(rnn-1._wp) |
---|
| 608 | psi(ji,jj,ibotm1) = psi(ji,jj,ibotm1) + zflxb / e3w(ji,jj,ibotm1,Kmm) |
---|
| 609 | END_2D |
---|
[2397] | 610 | ! |
---|
[2048] | 611 | END SELECT |
---|
| 612 | |
---|
| 613 | ! Matrix inversion |
---|
| 614 | ! ---------------- |
---|
| 615 | ! |
---|
[13553] | 616 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1 |
---|
[12377] | 617 | zdiag(ji,jj,jk) = zdiag(ji,jj,jk) - zd_lw(ji,jj,jk) * zd_up(ji,jj,jk-1) / zdiag(ji,jj,jk-1) |
---|
| 618 | END_3D |
---|
[13553] | 619 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1 |
---|
[12377] | 620 | zd_lw(ji,jj,jk) = psi(ji,jj,jk) - zd_lw(ji,jj,jk) / zdiag(ji,jj,jk-1) * zd_lw(ji,jj,jk-1) |
---|
| 621 | END_3D |
---|
[13553] | 622 | DO_3DS( 0, 0, 0, 0, jpkm1, 2, -1 ) ! Third recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk |
---|
[12377] | 623 | psi(ji,jj,jk) = ( zd_lw(ji,jj,jk) - zd_up(ji,jj,jk) * psi(ji,jj,jk+1) ) / zdiag(ji,jj,jk) |
---|
| 624 | END_3D |
---|
[2048] | 625 | |
---|
| 626 | ! Set dissipation |
---|
| 627 | !---------------- |
---|
| 628 | |
---|
| 629 | SELECT CASE ( nn_clos ) |
---|
| 630 | ! |
---|
| 631 | CASE( 0 ) ! k-kl (Mellor-Yamada) |
---|
[13295] | 632 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
[12377] | 633 | eps(ji,jj,jk) = rc03 * en(ji,jj,jk) * en(ji,jj,jk) * SQRT( en(ji,jj,jk) ) / MAX( psi(ji,jj,jk), rn_epsmin) |
---|
| 634 | END_3D |
---|
[2397] | 635 | ! |
---|
[2048] | 636 | CASE( 1 ) ! k-eps |
---|
[13295] | 637 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
[12377] | 638 | eps(ji,jj,jk) = psi(ji,jj,jk) |
---|
| 639 | END_3D |
---|
[2397] | 640 | ! |
---|
[2048] | 641 | CASE( 2 ) ! k-w |
---|
[13295] | 642 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
[12377] | 643 | eps(ji,jj,jk) = rc04 * en(ji,jj,jk) * psi(ji,jj,jk) |
---|
| 644 | END_3D |
---|
[2397] | 645 | ! |
---|
| 646 | CASE( 3 ) ! generic |
---|
| 647 | zcoef = rc0**( 3._wp + rpp/rnn ) |
---|
| 648 | zex1 = ( 1.5_wp + rmm/rnn ) |
---|
| 649 | zex2 = -1._wp / rnn |
---|
[13295] | 650 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
[12377] | 651 | eps(ji,jj,jk) = zcoef * en(ji,jj,jk)**zex1 * psi(ji,jj,jk)**zex2 |
---|
| 652 | END_3D |
---|
[2397] | 653 | ! |
---|
[2048] | 654 | END SELECT |
---|
| 655 | |
---|
| 656 | ! Limit dissipation rate under stable stratification |
---|
| 657 | ! -------------------------------------------------- |
---|
[13553] | 658 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) ! Note that this set boundary conditions on hmxl_n at the same time |
---|
[12377] | 659 | ! limitation |
---|
| 660 | eps (ji,jj,jk) = MAX( eps(ji,jj,jk), rn_epsmin ) |
---|
| 661 | hmxl_n(ji,jj,jk) = rc03 * en(ji,jj,jk) * SQRT( en(ji,jj,jk) ) / eps(ji,jj,jk) |
---|
| 662 | ! Galperin criterium (NOTE : Not required if the proper value of C3 in stable cases is calculated) |
---|
| 663 | zrn2 = MAX( rn2(ji,jj,jk), rsmall ) |
---|
| 664 | IF( ln_length_lim ) hmxl_n(ji,jj,jk) = MIN( rn_clim_galp * SQRT( 2._wp * en(ji,jj,jk) / zrn2 ), hmxl_n(ji,jj,jk) ) |
---|
| 665 | END_3D |
---|
[2048] | 666 | |
---|
| 667 | ! |
---|
| 668 | ! Stability function and vertical viscosity and diffusivity |
---|
| 669 | ! --------------------------------------------------------- |
---|
| 670 | ! |
---|
| 671 | SELECT CASE ( nn_stab_func ) |
---|
| 672 | ! |
---|
| 673 | CASE ( 0 , 1 ) ! Galperin or Kantha-Clayson stability functions |
---|
[13295] | 674 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
[12377] | 675 | ! zcof = l²/q² |
---|
| 676 | zcof = hmxl_b(ji,jj,jk) * hmxl_b(ji,jj,jk) / ( 2._wp*eb(ji,jj,jk) ) |
---|
| 677 | ! Gh = -N²l²/q² |
---|
| 678 | gh = - rn2(ji,jj,jk) * zcof |
---|
| 679 | gh = MIN( gh, rgh0 ) |
---|
| 680 | gh = MAX( gh, rghmin ) |
---|
| 681 | ! Stability functions from Kantha and Clayson (if C2=C3=0 => Galperin) |
---|
| 682 | sh = ra2*( 1._wp-6._wp*ra1/rb1 ) / ( 1.-3.*ra2*gh*(6.*ra1+rb2*( 1._wp-rc3 ) ) ) |
---|
| 683 | sm = ( rb1**(-1._wp/3._wp) + ( 18._wp*ra1*ra1 + 9._wp*ra1*ra2*(1._wp-rc2) )*sh*gh ) / (1._wp-9._wp*ra1*ra2*gh) |
---|
| 684 | ! |
---|
| 685 | ! Store stability function in zstt and zstm |
---|
| 686 | zstt(ji,jj,jk) = rc_diff * sh * tmask(ji,jj,jk) |
---|
| 687 | zstm(ji,jj,jk) = rc_diff * sm * tmask(ji,jj,jk) |
---|
| 688 | END_3D |
---|
[2397] | 689 | ! |
---|
[2048] | 690 | CASE ( 2, 3 ) ! Canuto stability functions |
---|
[13295] | 691 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
[12377] | 692 | ! zcof = l²/q² |
---|
| 693 | zcof = hmxl_b(ji,jj,jk)*hmxl_b(ji,jj,jk) / ( 2._wp * eb(ji,jj,jk) ) |
---|
| 694 | ! Gh = -N²l²/q² |
---|
| 695 | gh = - rn2(ji,jj,jk) * zcof |
---|
| 696 | gh = MIN( gh, rgh0 ) |
---|
| 697 | gh = MAX( gh, rghmin ) |
---|
| 698 | gh = gh * rf6 |
---|
| 699 | ! Gm = M²l²/q² Shear number |
---|
| 700 | shr = p_sh2(ji,jj,jk) / MAX( p_avm(ji,jj,jk), rsmall ) |
---|
| 701 | gm = MAX( shr * zcof , 1.e-10 ) |
---|
| 702 | gm = gm * rf6 |
---|
| 703 | gm = MIN ( (rd0 - rd1*gh + rd3*gh*gh) / (rd2-rd4*gh) , gm ) |
---|
| 704 | ! Stability functions from Canuto |
---|
| 705 | rcff = rd0 - rd1*gh +rd2*gm + rd3*gh*gh - rd4*gh*gm + rd5*gm*gm |
---|
| 706 | sm = (rs0 - rs1*gh + rs2*gm) / rcff |
---|
| 707 | sh = (rs4 - rs5*gh + rs6*gm) / rcff |
---|
| 708 | ! |
---|
| 709 | ! Store stability function in zstt and zstm |
---|
| 710 | zstt(ji,jj,jk) = rc_diff * sh * tmask(ji,jj,jk) |
---|
| 711 | zstm(ji,jj,jk) = rc_diff * sm * tmask(ji,jj,jk) |
---|
| 712 | END_3D |
---|
[2397] | 713 | ! |
---|
[2048] | 714 | END SELECT |
---|
| 715 | |
---|
| 716 | ! Boundary conditions on stability functions for momentum (Neumann): |
---|
| 717 | ! Lines below are useless if GOTM style Dirichlet conditions are used |
---|
[5109] | 718 | |
---|
[9019] | 719 | zstm(:,:,1) = zstm(:,:,2) |
---|
[5109] | 720 | |
---|
[10342] | 721 | ! default value, in case jpk > mbkt(ji,jj)+1. Not needed but avoid a bug when looking for undefined values (-fpe0) |
---|
| 722 | zstm(:,:,jpk) = 0. |
---|
[13553] | 723 | DO_2D( 0, 0, 0, 0 ) ! update bottom with good values |
---|
[12377] | 724 | zstm(ji,jj,mbkt(ji,jj)+1) = zstm(ji,jj,mbkt(ji,jj)) |
---|
| 725 | END_2D |
---|
[10342] | 726 | |
---|
| 727 | zstt(:,:, 1) = wmask(:,:, 1) ! default value not needed but avoid a bug when looking for undefined values (-fpe0) |
---|
| 728 | zstt(:,:,jpk) = wmask(:,:,jpk) ! default value not needed but avoid a bug when looking for undefined values (-fpe0) |
---|
| 729 | |
---|
[9019] | 730 | !!gm should be done for ISF (top boundary cond.) |
---|
| 731 | !!gm so, totally new staff needed!!gm |
---|
[2048] | 732 | |
---|
| 733 | ! Compute diffusivities/viscosities |
---|
| 734 | ! The computation below could be restrained to jk=2 to jpkm1 if GOTM style Dirichlet conditions are used |
---|
[10342] | 735 | ! -> yes BUT p_avm(:,:1) and p_avm(:,:jpk) are used when we compute zd_lw(:,:2) and zd_up(:,:jpkm1). These values are |
---|
| 736 | ! later overwritten by surface/bottom boundaries conditions, so we don't really care of p_avm(:,:1) and p_avm(:,:jpk) |
---|
| 737 | ! for zd_lw and zd_up but they have to be defined to avoid a bug when looking for undefined values (-fpe0) |
---|
[13295] | 738 | DO_3D( 0, 0, 0, 0, 1, jpk ) |
---|
[12377] | 739 | zsqen = SQRT( 2._wp * en(ji,jj,jk) ) * hmxl_n(ji,jj,jk) |
---|
| 740 | zavt = zsqen * zstt(ji,jj,jk) |
---|
| 741 | zavm = zsqen * zstm(ji,jj,jk) |
---|
| 742 | p_avt(ji,jj,jk) = MAX( zavt, avtb(jk) ) * wmask(ji,jj,jk) ! apply mask for zdfmxl routine |
---|
| 743 | p_avm(ji,jj,jk) = MAX( zavm, avmb(jk) ) ! Note that avm is not masked at the surface and the bottom |
---|
| 744 | END_3D |
---|
[9019] | 745 | p_avt(:,:,1) = 0._wp |
---|
[2048] | 746 | ! |
---|
[12377] | 747 | IF(sn_cfctl%l_prtctl) THEN |
---|
[9440] | 748 | CALL prt_ctl( tab3d_1=en , clinfo1=' gls - e: ', tab3d_2=p_avt, clinfo2=' t: ', kdim=jpk) |
---|
| 749 | CALL prt_ctl( tab3d_1=p_avm, clinfo1=' gls - m: ', kdim=jpk ) |
---|
[2048] | 750 | ENDIF |
---|
| 751 | ! |
---|
| 752 | END SUBROUTINE zdf_gls |
---|
| 753 | |
---|
[2329] | 754 | |
---|
[2048] | 755 | SUBROUTINE zdf_gls_init |
---|
| 756 | !!---------------------------------------------------------------------- |
---|
| 757 | !! *** ROUTINE zdf_gls_init *** |
---|
| 758 | !! |
---|
| 759 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
---|
[9019] | 760 | !! viscosity computed using a GLS turbulent closure scheme |
---|
[2048] | 761 | !! |
---|
| 762 | !! ** Method : Read the namzdf_gls namelist and check the parameters |
---|
| 763 | !! |
---|
| 764 | !! ** input : Namlist namzdf_gls |
---|
| 765 | !! |
---|
| 766 | !! ** Action : Increase by 1 the nstop flag is setting problem encounter |
---|
| 767 | !! |
---|
| 768 | !!---------------------------------------------------------------------- |
---|
[2329] | 769 | INTEGER :: jk ! dummy loop indices |
---|
[4147] | 770 | INTEGER :: ios ! Local integer output status for namelist read |
---|
[2329] | 771 | REAL(wp):: zcr ! local scalar |
---|
[2048] | 772 | !! |
---|
[13553] | 773 | NAMELIST/namzdf_gls/rn_emin, rn_epsmin, ln_length_lim, & |
---|
| 774 | & rn_clim_galp, ln_sigpsi, rn_hsro, rn_hsri, & |
---|
| 775 | & rn_crban, rn_charn, rn_frac_hs, & |
---|
| 776 | & nn_bc_surf, nn_bc_bot, nn_z0_met, nn_z0_ice, & |
---|
[2048] | 777 | & nn_stab_func, nn_clos |
---|
| 778 | !!---------------------------------------------------------- |
---|
[3294] | 779 | ! |
---|
[4147] | 780 | READ ( numnam_ref, namzdf_gls, IOSTAT = ios, ERR = 901) |
---|
[11536] | 781 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_gls in reference namelist' ) |
---|
[2048] | 782 | |
---|
[4147] | 783 | READ ( numnam_cfg, namzdf_gls, IOSTAT = ios, ERR = 902 ) |
---|
[11536] | 784 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namzdf_gls in configuration namelist' ) |
---|
[4624] | 785 | IF(lwm) WRITE ( numond, namzdf_gls ) |
---|
[4147] | 786 | |
---|
[2397] | 787 | IF(lwp) THEN !* Control print |
---|
[2048] | 788 | WRITE(numout,*) |
---|
[9019] | 789 | WRITE(numout,*) 'zdf_gls_init : GLS turbulent closure scheme' |
---|
[2048] | 790 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
[2397] | 791 | WRITE(numout,*) ' Namelist namzdf_gls : set gls mixing parameters' |
---|
[5109] | 792 | WRITE(numout,*) ' minimum value of en rn_emin = ', rn_emin |
---|
| 793 | WRITE(numout,*) ' minimum value of eps rn_epsmin = ', rn_epsmin |
---|
| 794 | WRITE(numout,*) ' Limit dissipation rate under stable stratif. ln_length_lim = ', ln_length_lim |
---|
| 795 | WRITE(numout,*) ' Galperin limit (Standard: 0.53, Holt: 0.26) rn_clim_galp = ', rn_clim_galp |
---|
| 796 | WRITE(numout,*) ' TKE Surface boundary condition nn_bc_surf = ', nn_bc_surf |
---|
| 797 | WRITE(numout,*) ' TKE Bottom boundary condition nn_bc_bot = ', nn_bc_bot |
---|
| 798 | WRITE(numout,*) ' Modify psi Schmidt number (wb case) ln_sigpsi = ', ln_sigpsi |
---|
[2397] | 799 | WRITE(numout,*) ' Craig and Banner coefficient rn_crban = ', rn_crban |
---|
| 800 | WRITE(numout,*) ' Charnock coefficient rn_charn = ', rn_charn |
---|
[5109] | 801 | WRITE(numout,*) ' Surface roughness formula nn_z0_met = ', nn_z0_met |
---|
[13553] | 802 | WRITE(numout,*) ' surface wave breaking under ice nn_z0_ice = ', nn_z0_ice |
---|
| 803 | SELECT CASE( nn_z0_ice ) |
---|
| 804 | CASE( 0 ) ; WRITE(numout,*) ' ==>>> no impact of ice cover on surface wave breaking' |
---|
| 805 | CASE( 1 ) ; WRITE(numout,*) ' ==>>> roughness uses rn_hsri and is weigthed by 1-TANH( fr_i(:,:) * 10 )' |
---|
| 806 | CASE( 2 ) ; WRITE(numout,*) ' ==>>> roughness uses rn_hsri and is weighted by 1-fr_i(:,:)' |
---|
| 807 | CASE( 3 ) ; WRITE(numout,*) ' ==>>> roughness uses rn_hsri and is weighted by 1-MIN( 1, 4 * fr_i(:,:) )' |
---|
| 808 | CASE DEFAULT |
---|
| 809 | CALL ctl_stop( 'zdf_gls_init: wrong value for nn_z0_ice, should be 0,1,2, or 3') |
---|
| 810 | END SELECT |
---|
[5109] | 811 | WRITE(numout,*) ' Wave height frac. (used if nn_z0_met=2) rn_frac_hs = ', rn_frac_hs |
---|
[2397] | 812 | WRITE(numout,*) ' Stability functions nn_stab_func = ', nn_stab_func |
---|
| 813 | WRITE(numout,*) ' Type of closure nn_clos = ', nn_clos |
---|
[5109] | 814 | WRITE(numout,*) ' Surface roughness (m) rn_hsro = ', rn_hsro |
---|
[13553] | 815 | WRITE(numout,*) ' Ice-ocean roughness (used if nn_z0_ice/=0) rn_hsri = ', rn_hsri |
---|
[9019] | 816 | WRITE(numout,*) |
---|
| 817 | WRITE(numout,*) ' Namelist namdrg_top/_bot: used values:' |
---|
| 818 | WRITE(numout,*) ' top ocean cavity roughness (m) rn_z0(_top) = ', r_z0_top |
---|
| 819 | WRITE(numout,*) ' Bottom seafloor roughness (m) rn_z0(_bot) = ', r_z0_bot |
---|
| 820 | WRITE(numout,*) |
---|
[2048] | 821 | ENDIF |
---|
| 822 | |
---|
[9019] | 823 | ! !* allocate GLS arrays |
---|
[2715] | 824 | IF( zdf_gls_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_gls_init : unable to allocate arrays' ) |
---|
| 825 | |
---|
[2397] | 826 | ! !* Check of some namelist values |
---|
[13283] | 827 | IF( nn_bc_surf < 0 .OR. nn_bc_surf > 1 ) CALL ctl_stop( 'zdf_gls_init: bad flag: nn_bc_surf is 0 or 1' ) |
---|
| 828 | IF( nn_bc_surf < 0 .OR. nn_bc_surf > 1 ) CALL ctl_stop( 'zdf_gls_init: bad flag: nn_bc_surf is 0 or 1' ) |
---|
| 829 | IF( nn_z0_met < 0 .OR. nn_z0_met > 3 ) CALL ctl_stop( 'zdf_gls_init: bad flag: nn_z0_met is 0, 1, 2 or 3' ) |
---|
| 830 | IF( nn_z0_met == 3 .AND. .NOT. (ln_wave .AND. ln_sdw ) ) CALL ctl_stop( 'zdf_gls_init: nn_z0_met=3 requires ln_wave=T and ln_sdw=T' ) |
---|
| 831 | IF( nn_stab_func < 0 .OR. nn_stab_func > 3 ) CALL ctl_stop( 'zdf_gls_init: bad flag: nn_stab_func is 0, 1, 2 and 3' ) |
---|
| 832 | IF( nn_clos < 0 .OR. nn_clos > 3 ) CALL ctl_stop( 'zdf_gls_init: bad flag: nn_clos is 0, 1, 2 or 3' ) |
---|
[2048] | 833 | |
---|
[2715] | 834 | SELECT CASE ( nn_clos ) !* set the parameters for the chosen closure |
---|
[2048] | 835 | ! |
---|
[2715] | 836 | CASE( 0 ) ! k-kl (Mellor-Yamada) |
---|
[2397] | 837 | ! |
---|
[9019] | 838 | IF(lwp) WRITE(numout,*) ' ==>> k-kl closure chosen (i.e. closed to the classical Mellor-Yamada)' |
---|
| 839 | IF(lwp) WRITE(numout,*) |
---|
[2397] | 840 | rpp = 0._wp |
---|
| 841 | rmm = 1._wp |
---|
| 842 | rnn = 1._wp |
---|
| 843 | rsc_tke = 1.96_wp |
---|
| 844 | rsc_psi = 1.96_wp |
---|
| 845 | rpsi1 = 0.9_wp |
---|
| 846 | rpsi3p = 1._wp |
---|
| 847 | rpsi2 = 0.5_wp |
---|
| 848 | ! |
---|
[2048] | 849 | SELECT CASE ( nn_stab_func ) |
---|
[2397] | 850 | CASE( 0, 1 ) ; rpsi3m = 2.53_wp ! G88 or KC stability functions |
---|
[5109] | 851 | CASE( 2 ) ; rpsi3m = 2.62_wp ! Canuto A stability functions |
---|
[2397] | 852 | CASE( 3 ) ; rpsi3m = 2.38 ! Canuto B stability functions (caution : constant not identified) |
---|
| 853 | END SELECT |
---|
[2048] | 854 | ! |
---|
[2715] | 855 | CASE( 1 ) ! k-eps |
---|
[2397] | 856 | ! |
---|
[9019] | 857 | IF(lwp) WRITE(numout,*) ' ==>> k-eps closure chosen' |
---|
| 858 | IF(lwp) WRITE(numout,*) |
---|
[2397] | 859 | rpp = 3._wp |
---|
| 860 | rmm = 1.5_wp |
---|
| 861 | rnn = -1._wp |
---|
| 862 | rsc_tke = 1._wp |
---|
[5109] | 863 | rsc_psi = 1.2_wp ! Schmidt number for psi |
---|
[2397] | 864 | rpsi1 = 1.44_wp |
---|
| 865 | rpsi3p = 1._wp |
---|
| 866 | rpsi2 = 1.92_wp |
---|
| 867 | ! |
---|
| 868 | SELECT CASE ( nn_stab_func ) |
---|
| 869 | CASE( 0, 1 ) ; rpsi3m = -0.52_wp ! G88 or KC stability functions |
---|
| 870 | CASE( 2 ) ; rpsi3m = -0.629_wp ! Canuto A stability functions |
---|
| 871 | CASE( 3 ) ; rpsi3m = -0.566 ! Canuto B stability functions |
---|
[2048] | 872 | END SELECT |
---|
[2397] | 873 | ! |
---|
[2715] | 874 | CASE( 2 ) ! k-omega |
---|
[2397] | 875 | ! |
---|
[9019] | 876 | IF(lwp) WRITE(numout,*) ' ==>> k-omega closure chosen' |
---|
| 877 | IF(lwp) WRITE(numout,*) |
---|
[2397] | 878 | rpp = -1._wp |
---|
| 879 | rmm = 0.5_wp |
---|
| 880 | rnn = -1._wp |
---|
| 881 | rsc_tke = 2._wp |
---|
| 882 | rsc_psi = 2._wp |
---|
| 883 | rpsi1 = 0.555_wp |
---|
| 884 | rpsi3p = 1._wp |
---|
| 885 | rpsi2 = 0.833_wp |
---|
| 886 | ! |
---|
| 887 | SELECT CASE ( nn_stab_func ) |
---|
| 888 | CASE( 0, 1 ) ; rpsi3m = -0.58_wp ! G88 or KC stability functions |
---|
| 889 | CASE( 2 ) ; rpsi3m = -0.64_wp ! Canuto A stability functions |
---|
| 890 | CASE( 3 ) ; rpsi3m = -0.64_wp ! Canuto B stability functions caution : constant not identified) |
---|
| 891 | END SELECT |
---|
| 892 | ! |
---|
[2715] | 893 | CASE( 3 ) ! generic |
---|
[2397] | 894 | ! |
---|
[9019] | 895 | IF(lwp) WRITE(numout,*) ' ==>> generic closure chosen' |
---|
| 896 | IF(lwp) WRITE(numout,*) |
---|
[2397] | 897 | rpp = 2._wp |
---|
| 898 | rmm = 1._wp |
---|
| 899 | rnn = -0.67_wp |
---|
| 900 | rsc_tke = 0.8_wp |
---|
| 901 | rsc_psi = 1.07_wp |
---|
| 902 | rpsi1 = 1._wp |
---|
| 903 | rpsi3p = 1._wp |
---|
| 904 | rpsi2 = 1.22_wp |
---|
| 905 | ! |
---|
| 906 | SELECT CASE ( nn_stab_func ) |
---|
| 907 | CASE( 0, 1 ) ; rpsi3m = 0.1_wp ! G88 or KC stability functions |
---|
| 908 | CASE( 2 ) ; rpsi3m = 0.05_wp ! Canuto A stability functions |
---|
| 909 | CASE( 3 ) ; rpsi3m = 0.05_wp ! Canuto B stability functions caution : constant not identified) |
---|
| 910 | END SELECT |
---|
| 911 | ! |
---|
[2048] | 912 | END SELECT |
---|
| 913 | |
---|
| 914 | ! |
---|
[2715] | 915 | SELECT CASE ( nn_stab_func ) !* set the parameters of the stability functions |
---|
[2048] | 916 | ! |
---|
[2715] | 917 | CASE ( 0 ) ! Galperin stability functions |
---|
[2397] | 918 | ! |
---|
[9019] | 919 | IF(lwp) WRITE(numout,*) ' ==>> Stability functions from Galperin' |
---|
[2397] | 920 | rc2 = 0._wp |
---|
| 921 | rc3 = 0._wp |
---|
| 922 | rc_diff = 1._wp |
---|
| 923 | rc0 = 0.5544_wp |
---|
| 924 | rcm_sf = 0.9884_wp |
---|
| 925 | rghmin = -0.28_wp |
---|
| 926 | rgh0 = 0.0233_wp |
---|
| 927 | rghcri = 0.02_wp |
---|
| 928 | ! |
---|
[2715] | 929 | CASE ( 1 ) ! Kantha-Clayson stability functions |
---|
[2397] | 930 | ! |
---|
[9019] | 931 | IF(lwp) WRITE(numout,*) ' ==>> Stability functions from Kantha-Clayson' |
---|
[2397] | 932 | rc2 = 0.7_wp |
---|
| 933 | rc3 = 0.2_wp |
---|
| 934 | rc_diff = 1._wp |
---|
| 935 | rc0 = 0.5544_wp |
---|
| 936 | rcm_sf = 0.9884_wp |
---|
| 937 | rghmin = -0.28_wp |
---|
| 938 | rgh0 = 0.0233_wp |
---|
| 939 | rghcri = 0.02_wp |
---|
| 940 | ! |
---|
[2715] | 941 | CASE ( 2 ) ! Canuto A stability functions |
---|
[2397] | 942 | ! |
---|
[9019] | 943 | IF(lwp) WRITE(numout,*) ' ==>> Stability functions from Canuto A' |
---|
[2397] | 944 | rs0 = 1.5_wp * rl1 * rl5*rl5 |
---|
| 945 | rs1 = -rl4*(rl6+rl7) + 2._wp*rl4*rl5*(rl1-(1._wp/3._wp)*rl2-rl3) + 1.5_wp*rl1*rl5*rl8 |
---|
| 946 | rs2 = -(3._wp/8._wp) * rl1*(rl6*rl6-rl7*rl7) |
---|
| 947 | rs4 = 2._wp * rl5 |
---|
| 948 | rs5 = 2._wp * rl4 |
---|
| 949 | rs6 = (2._wp/3._wp) * rl5 * ( 3._wp*rl3*rl3 - rl2*rl2 ) - 0.5_wp * rl5*rl1 * (3._wp*rl3-rl2) & |
---|
| 950 | & + 0.75_wp * rl1 * ( rl6 - rl7 ) |
---|
| 951 | rd0 = 3._wp * rl5*rl5 |
---|
| 952 | rd1 = rl5 * ( 7._wp*rl4 + 3._wp*rl8 ) |
---|
| 953 | rd2 = rl5*rl5 * ( 3._wp*rl3*rl3 - rl2*rl2 ) - 0.75_wp*(rl6*rl6 - rl7*rl7 ) |
---|
| 954 | rd3 = rl4 * ( 4._wp*rl4 + 3._wp*rl8) |
---|
| 955 | rd4 = rl4 * ( rl2 * rl6 - 3._wp*rl3*rl7 - rl5*(rl2*rl2 - rl3*rl3 ) ) + rl5*rl8 * ( 3._wp*rl3*rl3 - rl2*rl2 ) |
---|
| 956 | rd5 = 0.25_wp * ( rl2*rl2 - 3._wp *rl3*rl3 ) * ( rl6*rl6 - rl7*rl7 ) |
---|
| 957 | rc0 = 0.5268_wp |
---|
| 958 | rf6 = 8._wp / (rc0**6._wp) |
---|
| 959 | rc_diff = SQRT(2._wp) / (rc0**3._wp) |
---|
| 960 | rcm_sf = 0.7310_wp |
---|
| 961 | rghmin = -0.28_wp |
---|
| 962 | rgh0 = 0.0329_wp |
---|
| 963 | rghcri = 0.03_wp |
---|
| 964 | ! |
---|
[2715] | 965 | CASE ( 3 ) ! Canuto B stability functions |
---|
[2397] | 966 | ! |
---|
[9019] | 967 | IF(lwp) WRITE(numout,*) ' ==>> Stability functions from Canuto B' |
---|
[2397] | 968 | rs0 = 1.5_wp * rm1 * rm5*rm5 |
---|
| 969 | rs1 = -rm4 * (rm6+rm7) + 2._wp * rm4*rm5*(rm1-(1._wp/3._wp)*rm2-rm3) + 1.5_wp * rm1*rm5*rm8 |
---|
| 970 | rs2 = -(3._wp/8._wp) * rm1 * (rm6*rm6-rm7*rm7 ) |
---|
| 971 | rs4 = 2._wp * rm5 |
---|
| 972 | rs5 = 2._wp * rm4 |
---|
| 973 | rs6 = (2._wp/3._wp) * rm5 * (3._wp*rm3*rm3-rm2*rm2) - 0.5_wp * rm5*rm1*(3._wp*rm3-rm2) + 0.75_wp * rm1*(rm6-rm7) |
---|
| 974 | rd0 = 3._wp * rm5*rm5 |
---|
| 975 | rd1 = rm5 * (7._wp*rm4 + 3._wp*rm8) |
---|
| 976 | rd2 = rm5*rm5 * (3._wp*rm3*rm3 - rm2*rm2) - 0.75_wp * (rm6*rm6 - rm7*rm7) |
---|
| 977 | rd3 = rm4 * ( 4._wp*rm4 + 3._wp*rm8 ) |
---|
| 978 | rd4 = rm4 * ( rm2*rm6 -3._wp*rm3*rm7 - rm5*(rm2*rm2 - rm3*rm3) ) + rm5 * rm8 * ( 3._wp*rm3*rm3 - rm2*rm2 ) |
---|
| 979 | rd5 = 0.25_wp * ( rm2*rm2 - 3._wp*rm3*rm3 ) * ( rm6*rm6 - rm7*rm7 ) |
---|
| 980 | rc0 = 0.5268_wp !! rc0 = 0.5540_wp (Warner ...) to verify ! |
---|
| 981 | rf6 = 8._wp / ( rc0**6._wp ) |
---|
| 982 | rc_diff = SQRT(2._wp)/(rc0**3.) |
---|
| 983 | rcm_sf = 0.7470_wp |
---|
| 984 | rghmin = -0.28_wp |
---|
| 985 | rgh0 = 0.0444_wp |
---|
| 986 | rghcri = 0.0414_wp |
---|
| 987 | ! |
---|
[2048] | 988 | END SELECT |
---|
| 989 | |
---|
[2715] | 990 | ! !* Set Schmidt number for psi diffusion in the wave breaking case |
---|
| 991 | ! ! See Eq. (13) of Carniel et al, OM, 30, 225-239, 2009 |
---|
| 992 | ! ! or Eq. (17) of Burchard, JPO, 31, 3133-3145, 2001 |
---|
[5109] | 993 | IF( ln_sigpsi ) THEN |
---|
| 994 | ra_sf = -1.5 ! Set kinetic energy slope, then deduce rsc_psi and rl_sf |
---|
| 995 | ! Verification: retrieve Burchard (2001) results by uncomenting the line below: |
---|
| 996 | ! Note that the results depend on the value of rn_cm_sf which is constant (=rc0) in his work |
---|
| 997 | ! ra_sf = -SQRT(2./3.*rc0**3./rn_cm_sf*rn_sc_tke)/vkarmn |
---|
| 998 | rsc_psi0 = rsc_tke/(24.*rpsi2)*(-1.+(4.*rnn + ra_sf*(1.+4.*rmm))**2./(ra_sf**2.)) |
---|
[2048] | 999 | ELSE |
---|
[2299] | 1000 | rsc_psi0 = rsc_psi |
---|
[2048] | 1001 | ENDIF |
---|
| 1002 | |
---|
[2715] | 1003 | ! !* Shear free turbulence parameters |
---|
[2048] | 1004 | ! |
---|
[5109] | 1005 | ra_sf = -4._wp*rnn*SQRT(rsc_tke) / ( (1._wp+4._wp*rmm)*SQRT(rsc_tke) & |
---|
| 1006 | & - SQRT(rsc_tke + 24._wp*rsc_psi0*rpsi2 ) ) |
---|
[2048] | 1007 | |
---|
[5109] | 1008 | IF ( rn_crban==0._wp ) THEN |
---|
| 1009 | rl_sf = vkarmn |
---|
| 1010 | ELSE |
---|
[9019] | 1011 | rl_sf = rc0 * SQRT(rc0/rcm_sf) * SQRT( ( (1._wp + 4._wp*rmm + 8._wp*rmm**2_wp) * rsc_tke & |
---|
| 1012 | & + 12._wp*rsc_psi0*rpsi2 - (1._wp + 4._wp*rmm) & |
---|
| 1013 | & *SQRT(rsc_tke*(rsc_tke & |
---|
| 1014 | & + 24._wp*rsc_psi0*rpsi2)) ) & |
---|
| 1015 | & /(12._wp*rnn**2.) ) |
---|
[5109] | 1016 | ENDIF |
---|
| 1017 | |
---|
[2048] | 1018 | ! |
---|
[2715] | 1019 | IF(lwp) THEN !* Control print |
---|
[2048] | 1020 | WRITE(numout,*) |
---|
[9019] | 1021 | WRITE(numout,*) ' Limit values :' |
---|
| 1022 | WRITE(numout,*) ' Parameter m = ', rmm |
---|
| 1023 | WRITE(numout,*) ' Parameter n = ', rnn |
---|
| 1024 | WRITE(numout,*) ' Parameter p = ', rpp |
---|
| 1025 | WRITE(numout,*) ' rpsi1 = ', rpsi1 |
---|
| 1026 | WRITE(numout,*) ' rpsi2 = ', rpsi2 |
---|
| 1027 | WRITE(numout,*) ' rpsi3m = ', rpsi3m |
---|
| 1028 | WRITE(numout,*) ' rpsi3p = ', rpsi3p |
---|
| 1029 | WRITE(numout,*) ' rsc_tke = ', rsc_tke |
---|
| 1030 | WRITE(numout,*) ' rsc_psi = ', rsc_psi |
---|
| 1031 | WRITE(numout,*) ' rsc_psi0 = ', rsc_psi0 |
---|
| 1032 | WRITE(numout,*) ' rc0 = ', rc0 |
---|
[2048] | 1033 | WRITE(numout,*) |
---|
[9019] | 1034 | WRITE(numout,*) ' Shear free turbulence parameters:' |
---|
| 1035 | WRITE(numout,*) ' rcm_sf = ', rcm_sf |
---|
| 1036 | WRITE(numout,*) ' ra_sf = ', ra_sf |
---|
| 1037 | WRITE(numout,*) ' rl_sf = ', rl_sf |
---|
[2048] | 1038 | ENDIF |
---|
| 1039 | |
---|
[2715] | 1040 | ! !* Constants initialization |
---|
[2397] | 1041 | rc02 = rc0 * rc0 ; rc02r = 1. / rc02 |
---|
| 1042 | rc03 = rc02 * rc0 |
---|
| 1043 | rc04 = rc03 * rc0 |
---|
[5109] | 1044 | rsbc_tke1 = -3._wp/2._wp*rn_crban*ra_sf*rl_sf ! Dirichlet + Wave breaking |
---|
[12489] | 1045 | rsbc_tke2 = rn_Dt * rn_crban / rl_sf ! Neumann + Wave breaking |
---|
[5109] | 1046 | zcr = MAX(rsmall, rsbc_tke1**(1./(-ra_sf*3._wp/2._wp))-1._wp ) |
---|
| 1047 | rtrans = 0.2_wp / zcr ! Ad. inverse transition length between log and wave layer |
---|
| 1048 | rsbc_zs1 = rn_charn/grav ! Charnock formula for surface roughness |
---|
| 1049 | rsbc_zs2 = rn_frac_hs / 0.85_wp / grav * 665._wp ! Rascle formula for surface roughness |
---|
[12489] | 1050 | rsbc_psi1 = -0.5_wp * rn_Dt * rc0**(rpp-2._wp*rmm) / rsc_psi |
---|
| 1051 | rsbc_psi2 = -0.5_wp * rn_Dt * rc0**rpp * rnn * vkarmn**rnn / rsc_psi ! Neumann + NO Wave breaking |
---|
[9019] | 1052 | ! |
---|
[12489] | 1053 | rfact_tke = -0.5_wp / rsc_tke * rn_Dt ! Cst used for the Diffusion term of tke |
---|
| 1054 | rfact_psi = -0.5_wp / rsc_psi * rn_Dt ! Cst used for the Diffusion term of tke |
---|
[9019] | 1055 | ! |
---|
[2397] | 1056 | ! !* Wall proximity function |
---|
[9019] | 1057 | !!gm tmask or wmask ???? |
---|
| 1058 | zwall(:,:,:) = 1._wp * tmask(:,:,:) |
---|
[2048] | 1059 | |
---|
[9019] | 1060 | ! !* read or initialize all required files |
---|
| 1061 | CALL gls_rst( nit000, 'READ' ) ! (en, avt_k, avm_k, hmxl_n) |
---|
[2048] | 1062 | ! |
---|
[9367] | 1063 | IF( lwxios ) THEN |
---|
| 1064 | CALL iom_set_rstw_var_active('en') |
---|
| 1065 | CALL iom_set_rstw_var_active('avt_k') |
---|
| 1066 | CALL iom_set_rstw_var_active('avm_k') |
---|
| 1067 | CALL iom_set_rstw_var_active('hmxl_n') |
---|
| 1068 | ENDIF |
---|
| 1069 | ! |
---|
[2048] | 1070 | END SUBROUTINE zdf_gls_init |
---|
| 1071 | |
---|
[2329] | 1072 | |
---|
[2048] | 1073 | SUBROUTINE gls_rst( kt, cdrw ) |
---|
[2452] | 1074 | !!--------------------------------------------------------------------- |
---|
[9124] | 1075 | !! *** ROUTINE gls_rst *** |
---|
[2452] | 1076 | !! |
---|
| 1077 | !! ** Purpose : Read or write TKE file (en) in restart file |
---|
| 1078 | !! |
---|
| 1079 | !! ** Method : use of IOM library |
---|
| 1080 | !! if the restart does not contain TKE, en is either |
---|
| 1081 | !! set to rn_emin or recomputed (nn_igls/=0) |
---|
| 1082 | !!---------------------------------------------------------------------- |
---|
[9019] | 1083 | USE zdf_oce , ONLY : en, avt_k, avm_k ! ocean vertical physics |
---|
| 1084 | !! |
---|
| 1085 | INTEGER , INTENT(in) :: kt ! ocean time-step |
---|
| 1086 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
---|
[2452] | 1087 | ! |
---|
| 1088 | INTEGER :: jit, jk ! dummy loop indices |
---|
[9019] | 1089 | INTEGER :: id1, id2, id3, id4 |
---|
[2452] | 1090 | INTEGER :: ji, jj, ikbu, ikbv |
---|
| 1091 | REAL(wp):: cbx, cby |
---|
| 1092 | !!---------------------------------------------------------------------- |
---|
| 1093 | ! |
---|
| 1094 | IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialise |
---|
| 1095 | ! ! --------------- |
---|
| 1096 | IF( ln_rstart ) THEN !* Read the restart file |
---|
[9019] | 1097 | id1 = iom_varid( numror, 'en' , ldstop = .FALSE. ) |
---|
| 1098 | id2 = iom_varid( numror, 'avt_k' , ldstop = .FALSE. ) |
---|
| 1099 | id3 = iom_varid( numror, 'avm_k' , ldstop = .FALSE. ) |
---|
| 1100 | id4 = iom_varid( numror, 'hmxl_n', ldstop = .FALSE. ) |
---|
[2452] | 1101 | ! |
---|
[9019] | 1102 | IF( MIN( id1, id2, id3, id4 ) > 0 ) THEN ! all required arrays exist |
---|
[13286] | 1103 | CALL iom_get( numror, jpdom_auto, 'en' , en , ldxios = lrxios ) |
---|
| 1104 | CALL iom_get( numror, jpdom_auto, 'avt_k' , avt_k , ldxios = lrxios ) |
---|
| 1105 | CALL iom_get( numror, jpdom_auto, 'avm_k' , avm_k , ldxios = lrxios ) |
---|
| 1106 | CALL iom_get( numror, jpdom_auto, 'hmxl_n', hmxl_n, ldxios = lrxios ) |
---|
[2452] | 1107 | ELSE |
---|
[9019] | 1108 | IF(lwp) WRITE(numout,*) |
---|
| 1109 | IF(lwp) WRITE(numout,*) ' ==>> previous run without GLS scheme, set en and hmxl_n to background values' |
---|
| 1110 | en (:,:,:) = rn_emin |
---|
| 1111 | hmxl_n(:,:,:) = 0.05_wp |
---|
| 1112 | ! avt_k, avm_k already set to the background value in zdf_phy_init |
---|
[2452] | 1113 | ENDIF |
---|
| 1114 | ELSE !* Start from rest |
---|
[9019] | 1115 | IF(lwp) WRITE(numout,*) |
---|
| 1116 | IF(lwp) WRITE(numout,*) ' ==>> start from rest, set en and hmxl_n by background values' |
---|
| 1117 | en (:,:,:) = rn_emin |
---|
| 1118 | hmxl_n(:,:,:) = 0.05_wp |
---|
| 1119 | ! avt_k, avm_k already set to the background value in zdf_phy_init |
---|
[2452] | 1120 | ENDIF |
---|
| 1121 | ! |
---|
| 1122 | ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file |
---|
| 1123 | ! ! ------------------- |
---|
| 1124 | IF(lwp) WRITE(numout,*) '---- gls-rst ----' |
---|
[9367] | 1125 | IF( lwxios ) CALL iom_swap( cwxios_context ) |
---|
| 1126 | CALL iom_rstput( kt, nitrst, numrow, 'en' , en , ldxios = lwxios ) |
---|
| 1127 | CALL iom_rstput( kt, nitrst, numrow, 'avt_k' , avt_k , ldxios = lwxios ) |
---|
| 1128 | CALL iom_rstput( kt, nitrst, numrow, 'avm_k' , avm_k , ldxios = lwxios ) |
---|
| 1129 | CALL iom_rstput( kt, nitrst, numrow, 'hmxl_n', hmxl_n, ldxios = lwxios ) |
---|
| 1130 | IF( lwxios ) CALL iom_swap( cxios_context ) |
---|
[2452] | 1131 | ! |
---|
| 1132 | ENDIF |
---|
| 1133 | ! |
---|
[2048] | 1134 | END SUBROUTINE gls_rst |
---|
| 1135 | |
---|
| 1136 | !!====================================================================== |
---|
| 1137 | END MODULE zdfgls |
---|