[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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[2397] | 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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[2048] | 9 | !!---------------------------------------------------------------------- |
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| 10 | #if defined key_zdfgls || defined key_esopa |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | !! 'key_zdfgls' Generic Length Scale vertical physics |
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| 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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| 21 | USE zdf_oce ! ocean vertical physics |
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[5109] | 22 | USE zdfbfr ! bottom friction (only for rn_bfrz0) |
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[2048] | 23 | USE sbc_oce ! surface boundary condition: ocean |
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| 24 | USE phycst ! physical constants |
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| 25 | USE zdfmxl ! mixed layer |
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| 26 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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[2715] | 27 | USE lib_mpp ! MPP manager |
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[3294] | 28 | USE wrk_nemo ! work arrays |
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[2048] | 29 | USE prtctl ! Print control |
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| 30 | USE in_out_manager ! I/O manager |
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| 31 | USE iom ! I/O manager library |
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[3294] | 32 | USE timing ! Timing |
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[3625] | 33 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[11442] | 34 | USE stopack |
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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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[2329] | 39 | PUBLIC zdf_gls ! routine called in step module |
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[2397] | 40 | PUBLIC zdf_gls_init ! routine called in opa module |
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[2329] | 41 | PUBLIC gls_rst ! routine called in step module |
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[2048] | 42 | |
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[2715] | 43 | LOGICAL , PUBLIC, PARAMETER :: lk_zdfgls = .TRUE. !: TKE vertical mixing flag |
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| 44 | ! |
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| 45 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: mxln !: now mixing length |
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| 46 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: zwall !: wall function |
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| 47 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ustars2 !: Squared surface velocity scale at T-points |
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| 48 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ustarb2 !: 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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[4147] | 56 | INTEGER :: nn_stab_func ! stability functions G88, KC or Canuto (=0/1/2) |
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| 57 | INTEGER :: nn_clos ! closure 0/1/2/3 MY82/k-eps/k-w/gen |
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| 58 | REAL(wp) :: rn_clim_galp ! Holt 2008 value for k-eps: 0.267 |
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| 59 | REAL(wp) :: rn_epsmin ! minimum value of dissipation (m2/s3) |
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| 60 | REAL(wp) :: rn_emin ! minimum value of TKE (m2/s2) |
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| 61 | REAL(wp) :: rn_charn ! Charnock constant for surface breaking waves mixing : 1400. (standard) or 2.e5 (Stacey value) |
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| 62 | REAL(wp) :: rn_crban ! Craig and Banner constant for surface breaking waves mixing |
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[5109] | 63 | REAL(wp) :: rn_hsro ! Minimum surface roughness |
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| 64 | REAL(wp) :: rn_frac_hs ! Fraction of wave height as surface roughness (if nn_z0_met > 1) |
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[2048] | 65 | |
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[2397] | 66 | REAL(wp) :: rcm_sf = 0.73_wp ! Shear free turbulence parameters |
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| 67 | REAL(wp) :: ra_sf = -2.0_wp ! Must be negative -2 < ra_sf < -1 |
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| 68 | REAL(wp) :: rl_sf = 0.2_wp ! 0 <rl_sf<vkarmn |
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| 69 | REAL(wp) :: rghmin = -0.28_wp |
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| 70 | REAL(wp) :: rgh0 = 0.0329_wp |
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| 71 | REAL(wp) :: rghcri = 0.03_wp |
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[2299] | 72 | REAL(wp) :: ra1 = 0.92_wp |
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| 73 | REAL(wp) :: ra2 = 0.74_wp |
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| 74 | REAL(wp) :: rb1 = 16.60_wp |
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| 75 | REAL(wp) :: rb2 = 10.10_wp |
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| 76 | REAL(wp) :: re2 = 1.33_wp |
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| 77 | REAL(wp) :: rl1 = 0.107_wp |
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| 78 | REAL(wp) :: rl2 = 0.0032_wp |
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| 79 | REAL(wp) :: rl3 = 0.0864_wp |
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| 80 | REAL(wp) :: rl4 = 0.12_wp |
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| 81 | REAL(wp) :: rl5 = 11.9_wp |
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| 82 | REAL(wp) :: rl6 = 0.4_wp |
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| 83 | REAL(wp) :: rl7 = 0.0_wp |
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| 84 | REAL(wp) :: rl8 = 0.48_wp |
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| 85 | REAL(wp) :: rm1 = 0.127_wp |
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| 86 | REAL(wp) :: rm2 = 0.00336_wp |
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| 87 | REAL(wp) :: rm3 = 0.0906_wp |
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| 88 | REAL(wp) :: rm4 = 0.101_wp |
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| 89 | REAL(wp) :: rm5 = 11.2_wp |
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| 90 | REAL(wp) :: rm6 = 0.4_wp |
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| 91 | REAL(wp) :: rm7 = 0.0_wp |
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| 92 | REAL(wp) :: rm8 = 0.318_wp |
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[5109] | 93 | REAL(wp) :: rtrans = 0.1_wp |
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[2397] | 94 | REAL(wp) :: rc02, rc02r, rc03, rc04 ! coefficients deduced from above parameters |
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[5109] | 95 | REAL(wp) :: rsbc_tke1, rsbc_tke2, rfact_tke ! - - - - |
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| 96 | REAL(wp) :: rsbc_psi1, rsbc_psi2, rfact_psi ! - - - - |
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| 97 | REAL(wp) :: rsbc_zs1, rsbc_zs2 ! - - - - |
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[2397] | 98 | REAL(wp) :: rc0, rc2, rc3, rf6, rcff, rc_diff ! - - - - |
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| 99 | REAL(wp) :: rs0, rs1, rs2, rs4, rs5, rs6 ! - - - - |
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| 100 | REAL(wp) :: rd0, rd1, rd2, rd3, rd4, rd5 ! - - - - |
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| 101 | REAL(wp) :: rsc_tke, rsc_psi, rpsi1, rpsi2, rpsi3, rsc_psi0 ! - - - - |
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| 102 | REAL(wp) :: rpsi3m, rpsi3p, rpp, rmm, rnn ! - - - - |
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[2299] | 103 | |
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[2048] | 104 | !! * Substitutions |
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| 105 | # include "domzgr_substitute.h90" |
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| 106 | # include "vectopt_loop_substitute.h90" |
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| 107 | !!---------------------------------------------------------------------- |
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[2287] | 108 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[2715] | 109 | !! $Id$ |
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[2329] | 110 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[2048] | 111 | !!---------------------------------------------------------------------- |
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| 112 | CONTAINS |
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| 113 | |
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[2715] | 114 | INTEGER FUNCTION zdf_gls_alloc() |
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| 115 | !!---------------------------------------------------------------------- |
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| 116 | !! *** FUNCTION zdf_gls_alloc *** |
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| 117 | !!---------------------------------------------------------------------- |
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[6487] | 118 | ALLOCATE( mxln(jpi,jpj,jpk), zwall(jpi,jpj,jpk) , & |
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| 119 | & ustars2(jpi,jpj) , ustarb2(jpi,jpj) , STAT= zdf_gls_alloc ) |
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[2715] | 120 | ! |
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| 121 | IF( lk_mpp ) CALL mpp_sum ( zdf_gls_alloc ) |
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| 122 | IF( zdf_gls_alloc /= 0 ) CALL ctl_warn('zdf_gls_alloc: failed to allocate arrays') |
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| 123 | END FUNCTION zdf_gls_alloc |
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| 124 | |
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| 125 | |
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[2048] | 126 | SUBROUTINE zdf_gls( kt ) |
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| 127 | !!---------------------------------------------------------------------- |
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| 128 | !! *** ROUTINE zdf_gls *** |
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| 129 | !! |
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| 130 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
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[2397] | 131 | !! coefficients using the GLS turbulent closure scheme. |
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[2048] | 132 | !!---------------------------------------------------------------------- |
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| 133 | INTEGER, INTENT(in) :: kt ! ocean time step |
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| 134 | INTEGER :: ji, jj, jk, ibot, ibotm1, dir ! dummy loop arguments |
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[2397] | 135 | REAL(wp) :: zesh2, zsigpsi, zcoef, zex1, zex2 ! local scalars |
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| 136 | REAL(wp) :: ztx2, zty2, zup, zdown, zcof ! - - |
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| 137 | REAL(wp) :: zratio, zrn2, zflxb, sh ! - - |
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| 138 | REAL(wp) :: prod, buoy, diss, zdiss, sm ! - - |
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| 139 | REAL(wp) :: gh, gm, shr, dif, zsqen, zav ! - - |
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[3294] | 140 | REAL(wp), POINTER, DIMENSION(:,: ) :: zdep |
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[5109] | 141 | REAL(wp), POINTER, DIMENSION(:,: ) :: zkar |
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[3294] | 142 | REAL(wp), POINTER, DIMENSION(:,: ) :: zflxs ! Turbulence fluxed induced by internal waves |
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| 143 | REAL(wp), POINTER, DIMENSION(:,: ) :: zhsro ! Surface roughness (surface waves) |
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| 144 | REAL(wp), POINTER, DIMENSION(:,:,:) :: eb ! tke at time before |
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| 145 | REAL(wp), POINTER, DIMENSION(:,:,:) :: mxlb ! mixing length at time before |
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| 146 | REAL(wp), POINTER, DIMENSION(:,:,:) :: shear ! vertical shear |
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| 147 | REAL(wp), POINTER, DIMENSION(:,:,:) :: eps ! dissipation rate |
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[5109] | 148 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwall_psi ! Wall function use in the wb case (ln_sigpsi) |
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| 149 | REAL(wp), POINTER, DIMENSION(:,:,:) :: psi ! psi at time now |
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| 150 | REAL(wp), POINTER, DIMENSION(:,:,:) :: z_elem_a ! element of the first matrix diagonal |
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| 151 | REAL(wp), POINTER, DIMENSION(:,:,:) :: z_elem_b ! element of the second matrix diagonal |
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| 152 | REAL(wp), POINTER, DIMENSION(:,:,:) :: z_elem_c ! element of the third matrix diagonal |
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[2048] | 153 | !!-------------------------------------------------------------------- |
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[3294] | 154 | ! |
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| 155 | IF( nn_timing == 1 ) CALL timing_start('zdf_gls') |
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| 156 | ! |
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[5109] | 157 | CALL wrk_alloc( jpi,jpj, zdep, zkar, zflxs, zhsro ) |
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| 158 | CALL wrk_alloc( jpi,jpj,jpk, eb, mxlb, shear, eps, zwall_psi, z_elem_a, z_elem_b, z_elem_c, psi ) |
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| 159 | |
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[2048] | 160 | ! Preliminary computing |
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| 161 | |
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[2397] | 162 | ustars2 = 0._wp ; ustarb2 = 0._wp ; psi = 0._wp ; zwall_psi = 0._wp |
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[2048] | 163 | |
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[3798] | 164 | IF( kt /= nit000 ) THEN ! restore before value to compute tke |
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| 165 | avt (:,:,:) = avt_k (:,:,:) |
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| 166 | avm (:,:,:) = avm_k (:,:,:) |
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| 167 | avmu(:,:,:) = avmu_k(:,:,:) |
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| 168 | avmv(:,:,:) = avmv_k(:,:,:) |
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| 169 | ENDIF |
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| 170 | |
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[2497] | 171 | ! Compute surface and bottom friction at T-points |
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[5109] | 172 | !CDIR NOVERRCHK |
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| 173 | DO jj = 2, jpjm1 |
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| 174 | !CDIR NOVERRCHK |
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| 175 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 176 | ! |
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| 177 | ! surface friction |
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[3625] | 178 | ustars2(ji,jj) = r1_rau0 * taum(ji,jj) * tmask(ji,jj,1) |
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[5109] | 179 | ! |
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| 180 | ! bottom friction (explicit before friction) |
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| 181 | ! Note that we chose here not to bound the friction as in dynbfr) |
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| 182 | ztx2 = ( bfrua(ji,jj) * ub(ji,jj,mbku(ji,jj)) + bfrua(ji-1,jj) * ub(ji-1,jj,mbku(ji-1,jj)) ) & |
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| 183 | & * ( 1._wp - 0.5_wp * umask(ji,jj,1) * umask(ji-1,jj,1) ) |
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| 184 | zty2 = ( bfrva(ji,jj) * vb(ji,jj,mbkv(ji,jj)) + bfrva(ji,jj-1) * vb(ji,jj-1,mbkv(ji,jj-1)) ) & |
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| 185 | & * ( 1._wp - 0.5_wp * vmask(ji,jj,1) * vmask(ji,jj-1,1) ) |
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| 186 | ustarb2(ji,jj) = SQRT( ztx2 * ztx2 + zty2 * zty2 ) * tmask(ji,jj,1) |
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| 187 | END DO |
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| 188 | END DO |
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[2048] | 189 | |
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[5109] | 190 | ! Set surface roughness length |
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| 191 | SELECT CASE ( nn_z0_met ) |
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| 192 | ! |
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| 193 | CASE ( 0 ) ! Constant roughness |
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| 194 | zhsro(:,:) = rn_hsro |
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| 195 | CASE ( 1 ) ! Standard Charnock formula |
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| 196 | zhsro(:,:) = MAX(rsbc_zs1 * ustars2(:,:), rn_hsro) |
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| 197 | CASE ( 2 ) ! Roughness formulae according to Rascle et al., Ocean Modelling (2008) |
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| 198 | zdep(:,:) = 30.*TANH(2.*0.3/(28.*SQRT(MAX(ustars2(:,:),rsmall)))) ! Wave age (eq. 10) |
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| 199 | zhsro(:,:) = MAX(rsbc_zs2 * ustars2(:,:) * zdep(:,:)**1.5, rn_hsro) ! zhsro = rn_frac_hs * Hsw (eq. 11) |
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| 200 | ! |
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| 201 | END SELECT |
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[2048] | 202 | |
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| 203 | ! Compute shear and dissipation rate |
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| 204 | DO jk = 2, jpkm1 |
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| 205 | DO jj = 2, jpjm1 |
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| 206 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 207 | avmu(ji,jj,jk) = avmu(ji,jj,jk) * ( un(ji,jj,jk-1) - un(ji,jj,jk) ) & |
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| 208 | & * ( ub(ji,jj,jk-1) - ub(ji,jj,jk) ) & |
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| 209 | & / ( fse3uw_n(ji,jj,jk) & |
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| 210 | & * fse3uw_b(ji,jj,jk) ) |
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| 211 | avmv(ji,jj,jk) = avmv(ji,jj,jk) * ( vn(ji,jj,jk-1) - vn(ji,jj,jk) ) & |
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| 212 | & * ( vb(ji,jj,jk-1) - vb(ji,jj,jk) ) & |
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| 213 | & / ( fse3vw_n(ji,jj,jk) & |
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| 214 | & * fse3vw_b(ji,jj,jk) ) |
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[2299] | 215 | eps(ji,jj,jk) = rc03 * en(ji,jj,jk) * SQRT(en(ji,jj,jk)) / mxln(ji,jj,jk) |
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[2397] | 216 | END DO |
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| 217 | END DO |
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| 218 | END DO |
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[2048] | 219 | ! |
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| 220 | ! Lateral boundary conditions (avmu,avmv) (sign unchanged) |
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[2397] | 221 | CALL lbc_lnk( avmu, 'U', 1. ) ; CALL lbc_lnk( avmv, 'V', 1. ) |
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[2048] | 222 | |
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| 223 | ! Save tke at before time step |
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| 224 | eb (:,:,:) = en (:,:,:) |
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| 225 | mxlb(:,:,:) = mxln(:,:,:) |
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| 226 | |
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[2397] | 227 | IF( nn_clos == 0 ) THEN ! Mellor-Yamada |
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[2048] | 228 | DO jk = 2, jpkm1 |
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| 229 | DO jj = 2, jpjm1 |
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| 230 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2450] | 231 | zup = mxln(ji,jj,jk) * fsdepw(ji,jj,mbkt(ji,jj)+1) |
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| 232 | zdown = vkarmn * fsdepw(ji,jj,jk) * ( -fsdepw(ji,jj,jk) + fsdepw(ji,jj,mbkt(ji,jj)+1) ) |
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[2397] | 233 | zcoef = ( zup / MAX( zdown, rsmall ) ) |
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| 234 | zwall (ji,jj,jk) = ( 1._wp + re2 * zcoef*zcoef ) * tmask(ji,jj,jk) |
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| 235 | END DO |
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| 236 | END DO |
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| 237 | END DO |
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[2048] | 238 | ENDIF |
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| 239 | |
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| 240 | !!---------------------------------!! |
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| 241 | !! Equation to prognostic k !! |
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| 242 | !!---------------------------------!! |
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| 243 | ! |
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| 244 | ! Now Turbulent kinetic energy (output in en) |
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| 245 | ! ------------------------------- |
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| 246 | ! Resolution of a tridiagonal linear system by a "methode de chasse" |
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| 247 | ! computation from level 2 to jpkm1 (e(1) computed after and e(jpk)=0 ). |
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| 248 | ! The surface boundary condition are set after |
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| 249 | ! The bottom boundary condition are also set after. In standard e(bottom)=0. |
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| 250 | ! z_elem_b : diagonal z_elem_c : upper diagonal z_elem_a : lower diagonal |
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| 251 | ! Warning : after this step, en : right hand side of the matrix |
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| 252 | |
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| 253 | DO jk = 2, jpkm1 |
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| 254 | DO jj = 2, jpjm1 |
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| 255 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 256 | ! |
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| 257 | ! shear prod. at w-point weightened by mask |
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| 258 | shear(ji,jj,jk) = ( avmu(ji-1,jj,jk) + avmu(ji,jj,jk) ) / MAX( 1.e0 , umask(ji-1,jj,jk) + umask(ji,jj,jk) ) & |
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| 259 | & + ( avmv(ji,jj-1,jk) + avmv(ji,jj,jk) ) / MAX( 1.e0 , vmask(ji,jj-1,jk) + vmask(ji,jj,jk) ) |
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| 260 | ! |
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| 261 | ! stratif. destruction |
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| 262 | buoy = - avt(ji,jj,jk) * rn2(ji,jj,jk) |
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| 263 | ! |
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| 264 | ! shear prod. - stratif. destruction |
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| 265 | diss = eps(ji,jj,jk) |
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| 266 | ! |
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[2397] | 267 | dir = 0.5_wp + SIGN( 0.5_wp, shear(ji,jj,jk) + buoy ) ! dir =1(=0) if shear(ji,jj,jk)+buoy >0(<0) |
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[2048] | 268 | ! |
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[2397] | 269 | zesh2 = dir*(shear(ji,jj,jk)+buoy)+(1._wp-dir)*shear(ji,jj,jk) ! production term |
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| 270 | zdiss = dir*(diss/en(ji,jj,jk)) +(1._wp-dir)*(diss-buoy)/en(ji,jj,jk) ! dissipation term |
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[2048] | 271 | ! |
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[2299] | 272 | ! Compute a wall function from 1. to rsc_psi*zwall/rsc_psi0 |
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[2048] | 273 | ! Note that as long that Dirichlet boundary conditions are NOT set at the first and last levels (GOTM style) |
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| 274 | ! there is no need to set a boundary condition for zwall_psi at the top and bottom boundaries. |
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[2299] | 275 | ! Otherwise, this should be rsc_psi/rsc_psi0 |
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[2397] | 276 | IF( ln_sigpsi ) THEN |
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| 277 | zsigpsi = MIN( 1._wp, zesh2 / eps(ji,jj,jk) ) ! 0. <= zsigpsi <= 1. |
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[3294] | 278 | zwall_psi(ji,jj,jk) = rsc_psi / & |
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| 279 | & ( zsigpsi * rsc_psi + (1._wp-zsigpsi) * rsc_psi0 / MAX( zwall(ji,jj,jk), 1._wp ) ) |
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[2048] | 280 | ELSE |
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[2397] | 281 | zwall_psi(ji,jj,jk) = 1._wp |
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[2048] | 282 | ENDIF |
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| 283 | ! |
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| 284 | ! building the matrix |
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[2299] | 285 | zcof = rfact_tke * tmask(ji,jj,jk) |
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[2048] | 286 | ! |
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| 287 | ! lower diagonal |
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| 288 | z_elem_a(ji,jj,jk) = zcof * ( avm (ji,jj,jk ) + avm (ji,jj,jk-1) ) & |
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| 289 | & / ( fse3t(ji,jj,jk-1) * fse3w(ji,jj,jk ) ) |
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| 290 | ! |
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| 291 | ! upper diagonal |
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| 292 | z_elem_c(ji,jj,jk) = zcof * ( avm (ji,jj,jk+1) + avm (ji,jj,jk ) ) & |
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| 293 | & / ( fse3t(ji,jj,jk ) * fse3w(ji,jj,jk) ) |
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| 294 | ! |
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| 295 | ! diagonal |
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[2397] | 296 | z_elem_b(ji,jj,jk) = 1._wp - z_elem_a(ji,jj,jk) - z_elem_c(ji,jj,jk) & |
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| 297 | & + rdt * zdiss * tmask(ji,jj,jk) |
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[2048] | 298 | ! |
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| 299 | ! right hand side in en |
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| 300 | en(ji,jj,jk) = en(ji,jj,jk) + rdt * zesh2 * tmask(ji,jj,jk) |
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| 301 | END DO |
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| 302 | END DO |
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| 303 | END DO |
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| 304 | ! |
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[2397] | 305 | z_elem_b(:,:,jpk) = 1._wp |
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[2048] | 306 | ! |
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| 307 | ! Set surface condition on zwall_psi (1 at the bottom) |
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[5109] | 308 | zwall_psi(:,:,1) = zwall_psi(:,:,2) |
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| 309 | zwall_psi(:,:,jpk) = 1. |
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| 310 | ! |
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[2048] | 311 | ! Surface boundary condition on tke |
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| 312 | ! --------------------------------- |
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| 313 | ! |
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[5109] | 314 | SELECT CASE ( nn_bc_surf ) |
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[2048] | 315 | ! |
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| 316 | CASE ( 0 ) ! Dirichlet case |
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[5109] | 317 | ! First level |
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| 318 | en(:,:,1) = rc02r * ustars2(:,:) * (1._wp + rsbc_tke1)**(2._wp/3._wp) |
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| 319 | en(:,:,1) = MAX(en(:,:,1), rn_emin) |
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| 320 | z_elem_a(:,:,1) = en(:,:,1) |
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| 321 | z_elem_c(:,:,1) = 0._wp |
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| 322 | z_elem_b(:,:,1) = 1._wp |
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| 323 | ! |
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| 324 | ! One level below |
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[6487] | 325 | en(:,:,2) = rc02r * ustars2(:,:) * (1._wp + rsbc_tke1 * ((zhsro(:,:)+fsdepw(:,:,2)) & |
---|
| 326 | & / zhsro(:,:) )**(1.5_wp*ra_sf))**(2._wp/3._wp) |
---|
[5109] | 327 | en(:,:,2) = MAX(en(:,:,2), rn_emin ) |
---|
| 328 | z_elem_a(:,:,2) = 0._wp |
---|
| 329 | z_elem_c(:,:,2) = 0._wp |
---|
| 330 | z_elem_b(:,:,2) = 1._wp |
---|
| 331 | ! |
---|
| 332 | ! |
---|
[2048] | 333 | CASE ( 1 ) ! Neumann boundary condition on d(e)/dz |
---|
[5109] | 334 | ! |
---|
| 335 | ! Dirichlet conditions at k=1 |
---|
| 336 | en(:,:,1) = rc02r * ustars2(:,:) * (1._wp + rsbc_tke1)**(2._wp/3._wp) |
---|
| 337 | en(:,:,1) = MAX(en(:,:,1), rn_emin) |
---|
| 338 | z_elem_a(:,:,1) = en(:,:,1) |
---|
| 339 | z_elem_c(:,:,1) = 0._wp |
---|
| 340 | z_elem_b(:,:,1) = 1._wp |
---|
| 341 | ! |
---|
| 342 | ! at k=2, set de/dz=Fw |
---|
| 343 | !cbr |
---|
| 344 | z_elem_b(:,:,2) = z_elem_b(:,:,2) + z_elem_a(:,:,2) ! Remove z_elem_a from z_elem_b |
---|
| 345 | z_elem_a(:,:,2) = 0._wp |
---|
| 346 | zkar(:,:) = (rl_sf + (vkarmn-rl_sf)*(1.-exp(-rtrans*fsdept(:,:,1)/zhsro(:,:)) )) |
---|
[6487] | 347 | zflxs(:,:) = rsbc_tke2 * ustars2(:,:)**1.5_wp * zkar(:,:) & |
---|
| 348 | & * ((zhsro(:,:)+fsdept(:,:,1))/zhsro(:,:) )**(1.5_wp*ra_sf) |
---|
[5109] | 349 | |
---|
| 350 | en(:,:,2) = en(:,:,2) + zflxs(:,:)/fse3w(:,:,2) |
---|
| 351 | ! |
---|
| 352 | ! |
---|
[2048] | 353 | END SELECT |
---|
| 354 | |
---|
| 355 | ! Bottom boundary condition on tke |
---|
| 356 | ! -------------------------------- |
---|
| 357 | ! |
---|
[5109] | 358 | SELECT CASE ( nn_bc_bot ) |
---|
[2048] | 359 | ! |
---|
| 360 | CASE ( 0 ) ! Dirichlet |
---|
[2397] | 361 | ! ! en(ibot) = u*^2 / Co2 and mxln(ibot) = rn_lmin |
---|
| 362 | ! ! Balance between the production and the dissipation terms |
---|
[2048] | 363 | !CDIR NOVERRCHK |
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[2397] | 364 | DO jj = 2, jpjm1 |
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[2048] | 365 | !CDIR NOVERRCHK |
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[2397] | 366 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2450] | 367 | ibot = mbkt(ji,jj) + 1 ! k bottom level of w-point |
---|
| 368 | ibotm1 = mbkt(ji,jj) ! k-1 bottom level of w-point but >=1 |
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[2397] | 369 | ! |
---|
| 370 | ! Bottom level Dirichlet condition: |
---|
| 371 | z_elem_a(ji,jj,ibot ) = 0._wp |
---|
| 372 | z_elem_c(ji,jj,ibot ) = 0._wp |
---|
| 373 | z_elem_b(ji,jj,ibot ) = 1._wp |
---|
| 374 | en(ji,jj,ibot ) = MAX( rc02r * ustarb2(ji,jj), rn_emin ) |
---|
| 375 | ! |
---|
| 376 | ! Just above last level, Dirichlet condition again |
---|
| 377 | z_elem_a(ji,jj,ibotm1) = 0._wp |
---|
| 378 | z_elem_c(ji,jj,ibotm1) = 0._wp |
---|
| 379 | z_elem_b(ji,jj,ibotm1) = 1._wp |
---|
| 380 | en(ji,jj,ibotm1) = MAX( rc02r * ustarb2(ji,jj), rn_emin ) |
---|
| 381 | END DO |
---|
[2048] | 382 | END DO |
---|
[2397] | 383 | ! |
---|
[2048] | 384 | CASE ( 1 ) ! Neumman boundary condition |
---|
[2397] | 385 | ! |
---|
[2048] | 386 | !CDIR NOVERRCHK |
---|
[2397] | 387 | DO jj = 2, jpjm1 |
---|
[2048] | 388 | !CDIR NOVERRCHK |
---|
[2397] | 389 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2450] | 390 | ibot = mbkt(ji,jj) + 1 ! k bottom level of w-point |
---|
| 391 | ibotm1 = mbkt(ji,jj) ! k-1 bottom level of w-point but >=1 |
---|
[2397] | 392 | ! |
---|
| 393 | ! Bottom level Dirichlet condition: |
---|
| 394 | z_elem_a(ji,jj,ibot) = 0._wp |
---|
| 395 | z_elem_c(ji,jj,ibot) = 0._wp |
---|
| 396 | z_elem_b(ji,jj,ibot) = 1._wp |
---|
| 397 | en(ji,jj,ibot) = MAX( rc02r * ustarb2(ji,jj), rn_emin ) |
---|
| 398 | ! |
---|
| 399 | ! Just above last level: Neumann condition |
---|
| 400 | z_elem_b(ji,jj,ibotm1) = z_elem_b(ji,jj,ibotm1) + z_elem_c(ji,jj,ibotm1) ! Remove z_elem_c from z_elem_b |
---|
| 401 | z_elem_c(ji,jj,ibotm1) = 0._wp |
---|
| 402 | END DO |
---|
[2048] | 403 | END DO |
---|
[2397] | 404 | ! |
---|
[2048] | 405 | END SELECT |
---|
| 406 | |
---|
| 407 | ! Matrix inversion (en prescribed at surface and the bottom) |
---|
| 408 | ! ---------------------------------------------------------- |
---|
| 409 | ! |
---|
| 410 | DO jk = 2, jpkm1 ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1 |
---|
| 411 | DO jj = 2, jpjm1 |
---|
| 412 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 413 | z_elem_b(ji,jj,jk) = z_elem_b(ji,jj,jk) - z_elem_a(ji,jj,jk) * z_elem_c(ji,jj,jk-1) / z_elem_b(ji,jj,jk-1) |
---|
| 414 | END DO |
---|
| 415 | END DO |
---|
| 416 | END DO |
---|
| 417 | DO jk = 2, jpk ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1 |
---|
| 418 | DO jj = 2, jpjm1 |
---|
| 419 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 420 | z_elem_a(ji,jj,jk) = en(ji,jj,jk) - z_elem_a(ji,jj,jk) / z_elem_b(ji,jj,jk-1) * z_elem_a(ji,jj,jk-1) |
---|
| 421 | END DO |
---|
| 422 | END DO |
---|
| 423 | END DO |
---|
| 424 | DO jk = jpk-1, 2, -1 ! thrid recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk |
---|
| 425 | DO jj = 2, jpjm1 |
---|
| 426 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 427 | en(ji,jj,jk) = ( z_elem_a(ji,jj,jk) - z_elem_c(ji,jj,jk) * en(ji,jj,jk+1) ) / z_elem_b(ji,jj,jk) |
---|
| 428 | END DO |
---|
| 429 | END DO |
---|
| 430 | END DO |
---|
[2397] | 431 | ! ! set the minimum value of tke |
---|
[2048] | 432 | en(:,:,:) = MAX( en(:,:,:), rn_emin ) |
---|
[5109] | 433 | |
---|
[2048] | 434 | !!----------------------------------------!! |
---|
| 435 | !! Solve prognostic equation for psi !! |
---|
| 436 | !!----------------------------------------!! |
---|
| 437 | |
---|
| 438 | ! Set psi to previous time step value |
---|
| 439 | ! |
---|
| 440 | SELECT CASE ( nn_clos ) |
---|
| 441 | ! |
---|
| 442 | CASE( 0 ) ! k-kl (Mellor-Yamada) |
---|
[2397] | 443 | DO jk = 2, jpkm1 |
---|
| 444 | DO jj = 2, jpjm1 |
---|
| 445 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[3294] | 446 | psi(ji,jj,jk) = eb(ji,jj,jk) * mxlb(ji,jj,jk) |
---|
[2397] | 447 | END DO |
---|
| 448 | END DO |
---|
| 449 | END DO |
---|
| 450 | ! |
---|
[2048] | 451 | CASE( 1 ) ! k-eps |
---|
[2397] | 452 | DO jk = 2, jpkm1 |
---|
| 453 | DO jj = 2, jpjm1 |
---|
| 454 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 455 | psi(ji,jj,jk) = eps(ji,jj,jk) |
---|
| 456 | END DO |
---|
| 457 | END DO |
---|
| 458 | END DO |
---|
| 459 | ! |
---|
[2048] | 460 | CASE( 2 ) ! k-w |
---|
[2397] | 461 | DO jk = 2, jpkm1 |
---|
| 462 | DO jj = 2, jpjm1 |
---|
| 463 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[3294] | 464 | psi(ji,jj,jk) = SQRT( eb(ji,jj,jk) ) / ( rc0 * mxlb(ji,jj,jk) ) |
---|
[2397] | 465 | END DO |
---|
| 466 | END DO |
---|
| 467 | END DO |
---|
| 468 | ! |
---|
| 469 | CASE( 3 ) ! generic |
---|
| 470 | DO jk = 2, jpkm1 |
---|
| 471 | DO jj = 2, jpjm1 |
---|
| 472 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[3294] | 473 | psi(ji,jj,jk) = rc02 * eb(ji,jj,jk) * mxlb(ji,jj,jk)**rnn |
---|
[2397] | 474 | END DO |
---|
| 475 | END DO |
---|
| 476 | END DO |
---|
| 477 | ! |
---|
[2048] | 478 | END SELECT |
---|
| 479 | ! |
---|
| 480 | ! Now gls (output in psi) |
---|
| 481 | ! ------------------------------- |
---|
| 482 | ! Resolution of a tridiagonal linear system by a "methode de chasse" |
---|
| 483 | ! computation from level 2 to jpkm1 (e(1) already computed and e(jpk)=0 ). |
---|
| 484 | ! z_elem_b : diagonal z_elem_c : upper diagonal z_elem_a : lower diagonal |
---|
| 485 | ! Warning : after this step, en : right hand side of the matrix |
---|
| 486 | |
---|
| 487 | DO jk = 2, jpkm1 |
---|
| 488 | DO jj = 2, jpjm1 |
---|
| 489 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 490 | ! |
---|
| 491 | ! psi / k |
---|
| 492 | zratio = psi(ji,jj,jk) / eb(ji,jj,jk) |
---|
| 493 | ! |
---|
| 494 | ! psi3+ : stable : B=-KhN²<0 => N²>0 if rn2>0 dir = 1 (stable) otherwise dir = 0 (unstable) |
---|
[2397] | 495 | dir = 0.5_wp + SIGN( 0.5_wp, rn2(ji,jj,jk) ) |
---|
[2048] | 496 | ! |
---|
[2397] | 497 | rpsi3 = dir * rpsi3m + ( 1._wp - dir ) * rpsi3p |
---|
[2048] | 498 | ! |
---|
| 499 | ! shear prod. - stratif. destruction |
---|
[2299] | 500 | prod = rpsi1 * zratio * shear(ji,jj,jk) |
---|
[2048] | 501 | ! |
---|
| 502 | ! stratif. destruction |
---|
[2397] | 503 | buoy = rpsi3 * zratio * (- avt(ji,jj,jk) * rn2(ji,jj,jk) ) |
---|
[2048] | 504 | ! |
---|
| 505 | ! shear prod. - stratif. destruction |
---|
[2299] | 506 | diss = rpsi2 * zratio * zwall(ji,jj,jk) * eps(ji,jj,jk) |
---|
[2048] | 507 | ! |
---|
[2397] | 508 | dir = 0.5_wp + SIGN( 0.5_wp, prod + buoy ) ! dir =1(=0) if shear(ji,jj,jk)+buoy >0(<0) |
---|
[2048] | 509 | ! |
---|
[2397] | 510 | zesh2 = dir * ( prod + buoy ) + (1._wp - dir ) * prod ! production term |
---|
| 511 | zdiss = dir * ( diss / psi(ji,jj,jk) ) + (1._wp - dir ) * (diss-buoy) / psi(ji,jj,jk) ! dissipation term |
---|
[2048] | 512 | ! |
---|
| 513 | ! building the matrix |
---|
[2299] | 514 | zcof = rfact_psi * zwall_psi(ji,jj,jk) * tmask(ji,jj,jk) |
---|
[2048] | 515 | ! lower diagonal |
---|
| 516 | z_elem_a(ji,jj,jk) = zcof * ( avm (ji,jj,jk ) + avm (ji,jj,jk-1) ) & |
---|
| 517 | & / ( fse3t(ji,jj,jk-1) * fse3w(ji,jj,jk ) ) |
---|
| 518 | ! upper diagonal |
---|
| 519 | z_elem_c(ji,jj,jk) = zcof * ( avm (ji,jj,jk+1) + avm (ji,jj,jk ) ) & |
---|
| 520 | & / ( fse3t(ji,jj,jk ) * fse3w(ji,jj,jk) ) |
---|
| 521 | ! diagonal |
---|
[2397] | 522 | z_elem_b(ji,jj,jk) = 1._wp - z_elem_a(ji,jj,jk) - z_elem_c(ji,jj,jk) & |
---|
| 523 | & + rdt * zdiss * tmask(ji,jj,jk) |
---|
[2048] | 524 | ! |
---|
| 525 | ! right hand side in psi |
---|
| 526 | psi(ji,jj,jk) = psi(ji,jj,jk) + rdt * zesh2 * tmask(ji,jj,jk) |
---|
| 527 | END DO |
---|
| 528 | END DO |
---|
| 529 | END DO |
---|
| 530 | ! |
---|
[2397] | 531 | z_elem_b(:,:,jpk) = 1._wp |
---|
[2048] | 532 | |
---|
| 533 | ! Surface boundary condition on psi |
---|
| 534 | ! --------------------------------- |
---|
| 535 | ! |
---|
[5109] | 536 | SELECT CASE ( nn_bc_surf ) |
---|
[2048] | 537 | ! |
---|
| 538 | CASE ( 0 ) ! Dirichlet boundary conditions |
---|
[5109] | 539 | ! |
---|
| 540 | ! Surface value |
---|
| 541 | zdep(:,:) = zhsro(:,:) * rl_sf ! Cosmetic |
---|
| 542 | psi (:,:,1) = rc0**rpp * en(:,:,1)**rmm * zdep(:,:)**rnn * tmask(:,:,1) |
---|
| 543 | z_elem_a(:,:,1) = psi(:,:,1) |
---|
| 544 | z_elem_c(:,:,1) = 0._wp |
---|
| 545 | z_elem_b(:,:,1) = 1._wp |
---|
| 546 | ! |
---|
| 547 | ! One level below |
---|
| 548 | zkar(:,:) = (rl_sf + (vkarmn-rl_sf)*(1._wp-exp(-rtrans*fsdepw(:,:,2)/zhsro(:,:) ))) |
---|
| 549 | zdep(:,:) = (zhsro(:,:) + fsdepw(:,:,2)) * zkar(:,:) |
---|
| 550 | psi (:,:,2) = rc0**rpp * en(:,:,2)**rmm * zdep(:,:)**rnn * tmask(:,:,1) |
---|
| 551 | z_elem_a(:,:,2) = 0._wp |
---|
| 552 | z_elem_c(:,:,2) = 0._wp |
---|
| 553 | z_elem_b(:,:,2) = 1._wp |
---|
| 554 | ! |
---|
| 555 | ! |
---|
[2048] | 556 | CASE ( 1 ) ! Neumann boundary condition on d(psi)/dz |
---|
[5109] | 557 | ! |
---|
| 558 | ! Surface value: Dirichlet |
---|
| 559 | zdep(:,:) = zhsro(:,:) * rl_sf |
---|
| 560 | psi (:,:,1) = rc0**rpp * en(:,:,1)**rmm * zdep(:,:)**rnn * tmask(:,:,1) |
---|
| 561 | z_elem_a(:,:,1) = psi(:,:,1) |
---|
| 562 | z_elem_c(:,:,1) = 0._wp |
---|
| 563 | z_elem_b(:,:,1) = 1._wp |
---|
| 564 | ! |
---|
| 565 | ! Neumann condition at k=2 |
---|
| 566 | z_elem_b(:,:,2) = z_elem_b(:,:,2) + z_elem_a(:,:,2) ! Remove z_elem_a from z_elem_b |
---|
| 567 | z_elem_a(:,:,2) = 0._wp |
---|
| 568 | ! |
---|
| 569 | ! Set psi vertical flux at the surface: |
---|
| 570 | zkar(:,:) = rl_sf + (vkarmn-rl_sf)*(1._wp-exp(-rtrans*fsdept(:,:,1)/zhsro(:,:) )) ! Lengh scale slope |
---|
| 571 | zdep(:,:) = ((zhsro(:,:) + fsdept(:,:,1)) / zhsro(:,:))**(rmm*ra_sf) |
---|
| 572 | zflxs(:,:) = (rnn + rsbc_tke1 * (rnn + rmm*ra_sf) * zdep(:,:))*(1._wp + rsbc_tke1*zdep(:,:))**(2._wp*rmm/3._wp-1_wp) |
---|
| 573 | zdep(:,:) = rsbc_psi1 * (zwall_psi(:,:,1)*avm(:,:,1)+zwall_psi(:,:,2)*avm(:,:,2)) * & |
---|
| 574 | & ustars2(:,:)**rmm * zkar(:,:)**rnn * (zhsro(:,:) + fsdept(:,:,1))**(rnn-1.) |
---|
| 575 | zflxs(:,:) = zdep(:,:) * zflxs(:,:) |
---|
| 576 | psi(:,:,2) = psi(:,:,2) + zflxs(:,:) / fse3w(:,:,2) |
---|
| 577 | |
---|
| 578 | ! |
---|
| 579 | ! |
---|
[2048] | 580 | END SELECT |
---|
| 581 | |
---|
| 582 | ! Bottom boundary condition on psi |
---|
| 583 | ! -------------------------------- |
---|
| 584 | ! |
---|
[5109] | 585 | SELECT CASE ( nn_bc_bot ) |
---|
[2048] | 586 | ! |
---|
[5109] | 587 | ! |
---|
[2048] | 588 | CASE ( 0 ) ! Dirichlet |
---|
[5109] | 589 | ! ! en(ibot) = u*^2 / Co2 and mxln(ibot) = vkarmn * rn_bfrz0 |
---|
[2397] | 590 | ! ! Balance between the production and the dissipation terms |
---|
[2048] | 591 | !CDIR NOVERRCHK |
---|
[2397] | 592 | DO jj = 2, jpjm1 |
---|
[2048] | 593 | !CDIR NOVERRCHK |
---|
[2397] | 594 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2450] | 595 | ibot = mbkt(ji,jj) + 1 ! k bottom level of w-point |
---|
| 596 | ibotm1 = mbkt(ji,jj) ! k-1 bottom level of w-point but >=1 |
---|
[5109] | 597 | zdep(ji,jj) = vkarmn * rn_bfrz0 |
---|
[2397] | 598 | psi (ji,jj,ibot) = rc0**rpp * en(ji,jj,ibot)**rmm * zdep(ji,jj)**rnn |
---|
| 599 | z_elem_a(ji,jj,ibot) = 0._wp |
---|
| 600 | z_elem_c(ji,jj,ibot) = 0._wp |
---|
| 601 | z_elem_b(ji,jj,ibot) = 1._wp |
---|
| 602 | ! |
---|
| 603 | ! Just above last level, Dirichlet condition again (GOTM like) |
---|
[5109] | 604 | zdep(ji,jj) = vkarmn * ( rn_bfrz0 + fse3t(ji,jj,ibotm1) ) |
---|
[2397] | 605 | psi (ji,jj,ibotm1) = rc0**rpp * en(ji,jj,ibot )**rmm * zdep(ji,jj)**rnn |
---|
| 606 | z_elem_a(ji,jj,ibotm1) = 0._wp |
---|
| 607 | z_elem_c(ji,jj,ibotm1) = 0._wp |
---|
| 608 | z_elem_b(ji,jj,ibotm1) = 1._wp |
---|
| 609 | END DO |
---|
[2048] | 610 | END DO |
---|
[2397] | 611 | ! |
---|
[2048] | 612 | CASE ( 1 ) ! Neumman boundary condition |
---|
[2397] | 613 | ! |
---|
[2048] | 614 | !CDIR NOVERRCHK |
---|
[2397] | 615 | DO jj = 2, jpjm1 |
---|
[2048] | 616 | !CDIR NOVERRCHK |
---|
[2397] | 617 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2450] | 618 | ibot = mbkt(ji,jj) + 1 ! k bottom level of w-point |
---|
| 619 | ibotm1 = mbkt(ji,jj) ! k-1 bottom level of w-point but >=1 |
---|
[2397] | 620 | ! |
---|
| 621 | ! Bottom level Dirichlet condition: |
---|
[5109] | 622 | zdep(ji,jj) = vkarmn * rn_bfrz0 |
---|
[2397] | 623 | psi (ji,jj,ibot) = rc0**rpp * en(ji,jj,ibot)**rmm * zdep(ji,jj)**rnn |
---|
| 624 | ! |
---|
| 625 | z_elem_a(ji,jj,ibot) = 0._wp |
---|
| 626 | z_elem_c(ji,jj,ibot) = 0._wp |
---|
| 627 | z_elem_b(ji,jj,ibot) = 1._wp |
---|
| 628 | ! |
---|
| 629 | ! Just above last level: Neumann condition with flux injection |
---|
| 630 | z_elem_b(ji,jj,ibotm1) = z_elem_b(ji,jj,ibotm1) + z_elem_c(ji,jj,ibotm1) ! Remove z_elem_c from z_elem_b |
---|
| 631 | z_elem_c(ji,jj,ibotm1) = 0. |
---|
| 632 | ! |
---|
| 633 | ! Set psi vertical flux at the bottom: |
---|
[5109] | 634 | zdep(ji,jj) = rn_bfrz0 + 0.5_wp*fse3t(ji,jj,ibotm1) |
---|
[2397] | 635 | zflxb = rsbc_psi2 * ( avm(ji,jj,ibot) + avm(ji,jj,ibotm1) ) & |
---|
| 636 | & * (0.5_wp*(en(ji,jj,ibot)+en(ji,jj,ibotm1)))**rmm * zdep(ji,jj)**(rnn-1._wp) |
---|
| 637 | psi(ji,jj,ibotm1) = psi(ji,jj,ibotm1) + zflxb / fse3w(ji,jj,ibotm1) |
---|
| 638 | END DO |
---|
[2048] | 639 | END DO |
---|
[2397] | 640 | ! |
---|
[2048] | 641 | END SELECT |
---|
| 642 | |
---|
| 643 | ! Matrix inversion |
---|
| 644 | ! ---------------- |
---|
| 645 | ! |
---|
| 646 | DO jk = 2, jpkm1 ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1 |
---|
| 647 | DO jj = 2, jpjm1 |
---|
| 648 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 649 | z_elem_b(ji,jj,jk) = z_elem_b(ji,jj,jk) - z_elem_a(ji,jj,jk) * z_elem_c(ji,jj,jk-1) / z_elem_b(ji,jj,jk-1) |
---|
| 650 | END DO |
---|
| 651 | END DO |
---|
| 652 | END DO |
---|
| 653 | DO jk = 2, jpk ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1 |
---|
| 654 | DO jj = 2, jpjm1 |
---|
| 655 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 656 | z_elem_a(ji,jj,jk) = psi(ji,jj,jk) - z_elem_a(ji,jj,jk) / z_elem_b(ji,jj,jk-1) * z_elem_a(ji,jj,jk-1) |
---|
| 657 | END DO |
---|
| 658 | END DO |
---|
| 659 | END DO |
---|
| 660 | DO jk = jpk-1, 2, -1 ! Third recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk |
---|
| 661 | DO jj = 2, jpjm1 |
---|
| 662 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 663 | psi(ji,jj,jk) = ( z_elem_a(ji,jj,jk) - z_elem_c(ji,jj,jk) * psi(ji,jj,jk+1) ) / z_elem_b(ji,jj,jk) |
---|
| 664 | END DO |
---|
| 665 | END DO |
---|
| 666 | END DO |
---|
| 667 | |
---|
| 668 | ! Set dissipation |
---|
| 669 | !---------------- |
---|
| 670 | |
---|
| 671 | SELECT CASE ( nn_clos ) |
---|
| 672 | ! |
---|
| 673 | CASE( 0 ) ! k-kl (Mellor-Yamada) |
---|
[2397] | 674 | DO jk = 1, jpkm1 |
---|
| 675 | DO jj = 2, jpjm1 |
---|
| 676 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5109] | 677 | 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) |
---|
[2397] | 678 | END DO |
---|
| 679 | END DO |
---|
| 680 | END DO |
---|
| 681 | ! |
---|
[2048] | 682 | CASE( 1 ) ! k-eps |
---|
[2397] | 683 | DO jk = 1, jpkm1 |
---|
| 684 | DO jj = 2, jpjm1 |
---|
| 685 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 686 | eps(ji,jj,jk) = psi(ji,jj,jk) |
---|
| 687 | END DO |
---|
| 688 | END DO |
---|
| 689 | END DO |
---|
| 690 | ! |
---|
[2048] | 691 | CASE( 2 ) ! k-w |
---|
[2397] | 692 | DO jk = 1, jpkm1 |
---|
| 693 | DO jj = 2, jpjm1 |
---|
| 694 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 695 | eps(ji,jj,jk) = rc04 * en(ji,jj,jk) * psi(ji,jj,jk) |
---|
| 696 | END DO |
---|
| 697 | END DO |
---|
| 698 | END DO |
---|
| 699 | ! |
---|
| 700 | CASE( 3 ) ! generic |
---|
| 701 | zcoef = rc0**( 3._wp + rpp/rnn ) |
---|
| 702 | zex1 = ( 1.5_wp + rmm/rnn ) |
---|
| 703 | zex2 = -1._wp / rnn |
---|
| 704 | DO jk = 1, jpkm1 |
---|
| 705 | DO jj = 2, jpjm1 |
---|
| 706 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 707 | eps(ji,jj,jk) = zcoef * en(ji,jj,jk)**zex1 * psi(ji,jj,jk)**zex2 |
---|
| 708 | END DO |
---|
| 709 | END DO |
---|
| 710 | END DO |
---|
| 711 | ! |
---|
[2048] | 712 | END SELECT |
---|
| 713 | |
---|
| 714 | ! Limit dissipation rate under stable stratification |
---|
| 715 | ! -------------------------------------------------- |
---|
| 716 | DO jk = 1, jpkm1 ! Note that this set boundary conditions on mxln at the same time |
---|
| 717 | DO jj = 2, jpjm1 |
---|
| 718 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 719 | ! limitation |
---|
| 720 | eps(ji,jj,jk) = MAX( eps(ji,jj,jk), rn_epsmin ) |
---|
[2397] | 721 | mxln(ji,jj,jk) = rc03 * en(ji,jj,jk) * SQRT( en(ji,jj,jk) ) / eps(ji,jj,jk) |
---|
[2048] | 722 | ! Galperin criterium (NOTE : Not required if the proper value of C3 in stable cases is calculated) |
---|
| 723 | zrn2 = MAX( rn2(ji,jj,jk), rsmall ) |
---|
[5109] | 724 | IF (ln_length_lim) mxln(ji,jj,jk) = MIN( rn_clim_galp * SQRT( 2._wp * en(ji,jj,jk) / zrn2 ), mxln(ji,jj,jk) ) |
---|
[2048] | 725 | END DO |
---|
| 726 | END DO |
---|
| 727 | END DO |
---|
| 728 | |
---|
| 729 | ! |
---|
| 730 | ! Stability function and vertical viscosity and diffusivity |
---|
| 731 | ! --------------------------------------------------------- |
---|
| 732 | ! |
---|
| 733 | SELECT CASE ( nn_stab_func ) |
---|
| 734 | ! |
---|
| 735 | CASE ( 0 , 1 ) ! Galperin or Kantha-Clayson stability functions |
---|
[2397] | 736 | DO jk = 2, jpkm1 |
---|
| 737 | DO jj = 2, jpjm1 |
---|
| 738 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 739 | ! zcof = l²/q² |
---|
| 740 | zcof = mxlb(ji,jj,jk) * mxlb(ji,jj,jk) / ( 2._wp*eb(ji,jj,jk) ) |
---|
| 741 | ! Gh = -N²l²/q² |
---|
| 742 | gh = - rn2(ji,jj,jk) * zcof |
---|
| 743 | gh = MIN( gh, rgh0 ) |
---|
| 744 | gh = MAX( gh, rghmin ) |
---|
| 745 | ! Stability functions from Kantha and Clayson (if C2=C3=0 => Galperin) |
---|
| 746 | sh = ra2*( 1._wp-6._wp*ra1/rb1 ) / ( 1.-3.*ra2*gh*(6.*ra1+rb2*( 1._wp-rc3 ) ) ) |
---|
| 747 | 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) |
---|
| 748 | ! |
---|
| 749 | ! Store stability function in avmu and avmv |
---|
| 750 | avmu(ji,jj,jk) = rc_diff * sh * tmask(ji,jj,jk) |
---|
| 751 | avmv(ji,jj,jk) = rc_diff * sm * tmask(ji,jj,jk) |
---|
| 752 | END DO |
---|
[2048] | 753 | END DO |
---|
| 754 | END DO |
---|
[2397] | 755 | ! |
---|
[2048] | 756 | CASE ( 2, 3 ) ! Canuto stability functions |
---|
[2397] | 757 | DO jk = 2, jpkm1 |
---|
| 758 | DO jj = 2, jpjm1 |
---|
| 759 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 760 | ! zcof = l²/q² |
---|
| 761 | zcof = mxlb(ji,jj,jk)*mxlb(ji,jj,jk) / ( 2._wp * eb(ji,jj,jk) ) |
---|
| 762 | ! Gh = -N²l²/q² |
---|
| 763 | gh = - rn2(ji,jj,jk) * zcof |
---|
| 764 | gh = MIN( gh, rgh0 ) |
---|
| 765 | gh = MAX( gh, rghmin ) |
---|
| 766 | gh = gh * rf6 |
---|
| 767 | ! Gm = M²l²/q² Shear number |
---|
| 768 | shr = shear(ji,jj,jk) / MAX( avm(ji,jj,jk), rsmall ) |
---|
| 769 | gm = MAX( shr * zcof , 1.e-10 ) |
---|
| 770 | gm = gm * rf6 |
---|
| 771 | gm = MIN ( (rd0 - rd1*gh + rd3*gh*gh) / (rd2-rd4*gh) , gm ) |
---|
| 772 | ! Stability functions from Canuto |
---|
| 773 | rcff = rd0 - rd1*gh +rd2*gm + rd3*gh*gh - rd4*gh*gm + rd5*gm*gm |
---|
| 774 | sm = (rs0 - rs1*gh + rs2*gm) / rcff |
---|
| 775 | sh = (rs4 - rs5*gh + rs6*gm) / rcff |
---|
| 776 | ! |
---|
| 777 | ! Store stability function in avmu and avmv |
---|
| 778 | avmu(ji,jj,jk) = rc_diff * sh * tmask(ji,jj,jk) |
---|
| 779 | avmv(ji,jj,jk) = rc_diff * sm * tmask(ji,jj,jk) |
---|
| 780 | END DO |
---|
[2048] | 781 | END DO |
---|
| 782 | END DO |
---|
[2397] | 783 | ! |
---|
[2048] | 784 | END SELECT |
---|
| 785 | |
---|
| 786 | ! Boundary conditions on stability functions for momentum (Neumann): |
---|
| 787 | ! Lines below are useless if GOTM style Dirichlet conditions are used |
---|
[5109] | 788 | |
---|
| 789 | avmv(:,:,1) = avmv(:,:,2) |
---|
| 790 | |
---|
[2048] | 791 | DO jj = 2, jpjm1 |
---|
| 792 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5109] | 793 | avmv(ji,jj,mbkt(ji,jj)+1) = avmv(ji,jj,mbkt(ji,jj)) |
---|
[2048] | 794 | END DO |
---|
| 795 | END DO |
---|
| 796 | |
---|
| 797 | ! Compute diffusivities/viscosities |
---|
| 798 | ! The computation below could be restrained to jk=2 to jpkm1 if GOTM style Dirichlet conditions are used |
---|
| 799 | DO jk = 1, jpk |
---|
| 800 | DO jj = 2, jpjm1 |
---|
| 801 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2397] | 802 | zsqen = SQRT( 2._wp * en(ji,jj,jk) ) * mxln(ji,jj,jk) |
---|
| 803 | zav = zsqen * avmu(ji,jj,jk) |
---|
| 804 | avt(ji,jj,jk) = MAX( zav, avtb(jk) )*tmask(ji,jj,jk) ! apply mask for zdfmxl routine |
---|
| 805 | zav = zsqen * avmv(ji,jj,jk) |
---|
| 806 | avm(ji,jj,jk) = MAX( zav, avmb(jk) ) ! Note that avm is not masked at the surface and the bottom |
---|
[2048] | 807 | END DO |
---|
| 808 | END DO |
---|
[11442] | 809 | IF( ln_stopack) THEN |
---|
| 810 | IF( nn_spp_avt > 0 ) CALL spp_gen(kt, avt(:,:,jk), nn_spp_avt, rn_avt_sd,jk) |
---|
| 811 | IF( nn_spp_avm > 0 ) CALL spp_gen(kt, avm(:,:,jk), nn_spp_avm, rn_avm_sd,jk) |
---|
| 812 | ENDIF |
---|
[2048] | 813 | END DO |
---|
| 814 | ! |
---|
| 815 | ! Lateral boundary conditions (sign unchanged) |
---|
[2397] | 816 | avt(:,:,1) = 0._wp |
---|
[2048] | 817 | CALL lbc_lnk( avm, 'W', 1. ) ; CALL lbc_lnk( avt, 'W', 1. ) |
---|
| 818 | |
---|
| 819 | DO jk = 2, jpkm1 !* vertical eddy viscosity at u- and v-points |
---|
| 820 | DO jj = 2, jpjm1 |
---|
| 821 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2397] | 822 | avmu(ji,jj,jk) = 0.5 * ( avm(ji,jj,jk) + avm(ji+1,jj ,jk) ) * umask(ji,jj,jk) |
---|
| 823 | avmv(ji,jj,jk) = 0.5 * ( avm(ji,jj,jk) + avm(ji ,jj+1,jk) ) * vmask(ji,jj,jk) |
---|
[2048] | 824 | END DO |
---|
| 825 | END DO |
---|
| 826 | END DO |
---|
[2397] | 827 | avmu(:,:,1) = 0._wp ; avmv(:,:,1) = 0._wp ! set surface to zero |
---|
| 828 | CALL lbc_lnk( avmu, 'U', 1. ) ; CALL lbc_lnk( avmv, 'V', 1. ) ! Lateral boundary conditions |
---|
[2048] | 829 | |
---|
| 830 | IF(ln_ctl) THEN |
---|
| 831 | CALL prt_ctl( tab3d_1=en , clinfo1=' gls - e: ', tab3d_2=avt, clinfo2=' t: ', ovlap=1, kdim=jpk) |
---|
| 832 | CALL prt_ctl( tab3d_1=avmu, clinfo1=' gls - u: ', mask1=umask, & |
---|
| 833 | & tab3d_2=avmv, clinfo2= ' v: ', mask2=vmask, ovlap=1, kdim=jpk ) |
---|
| 834 | ENDIF |
---|
| 835 | ! |
---|
[3798] | 836 | avt_k (:,:,:) = avt (:,:,:) |
---|
| 837 | avm_k (:,:,:) = avm (:,:,:) |
---|
| 838 | avmu_k(:,:,:) = avmu(:,:,:) |
---|
| 839 | avmv_k(:,:,:) = avmv(:,:,:) |
---|
| 840 | ! |
---|
[5109] | 841 | CALL wrk_dealloc( jpi,jpj, zdep, zkar, zflxs, zhsro ) |
---|
[3294] | 842 | CALL wrk_dealloc( jpi,jpj,jpk, eb, mxlb, shear, eps, zwall_psi, z_elem_a, z_elem_b, z_elem_c, psi ) |
---|
[2715] | 843 | ! |
---|
[3294] | 844 | IF( nn_timing == 1 ) CALL timing_stop('zdf_gls') |
---|
| 845 | ! |
---|
| 846 | ! |
---|
[2048] | 847 | END SUBROUTINE zdf_gls |
---|
| 848 | |
---|
[2329] | 849 | |
---|
[2048] | 850 | SUBROUTINE zdf_gls_init |
---|
| 851 | !!---------------------------------------------------------------------- |
---|
| 852 | !! *** ROUTINE zdf_gls_init *** |
---|
| 853 | !! |
---|
| 854 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
---|
| 855 | !! viscosity when using a gls turbulent closure scheme |
---|
| 856 | !! |
---|
| 857 | !! ** Method : Read the namzdf_gls namelist and check the parameters |
---|
| 858 | !! called at the first timestep (nit000) |
---|
| 859 | !! |
---|
| 860 | !! ** input : Namlist namzdf_gls |
---|
| 861 | !! |
---|
| 862 | !! ** Action : Increase by 1 the nstop flag is setting problem encounter |
---|
| 863 | !! |
---|
| 864 | !!---------------------------------------------------------------------- |
---|
[2397] | 865 | USE dynzdf_exp |
---|
| 866 | USE trazdf_exp |
---|
| 867 | ! |
---|
[2329] | 868 | INTEGER :: jk ! dummy loop indices |
---|
[4147] | 869 | INTEGER :: ios ! Local integer output status for namelist read |
---|
[2329] | 870 | REAL(wp):: zcr ! local scalar |
---|
[2048] | 871 | !! |
---|
| 872 | NAMELIST/namzdf_gls/rn_emin, rn_epsmin, ln_length_lim, & |
---|
[5109] | 873 | & rn_clim_galp, ln_sigpsi, rn_hsro, & |
---|
| 874 | & rn_crban, rn_charn, rn_frac_hs, & |
---|
| 875 | & nn_bc_surf, nn_bc_bot, nn_z0_met, & |
---|
[2048] | 876 | & nn_stab_func, nn_clos |
---|
| 877 | !!---------------------------------------------------------- |
---|
[3294] | 878 | ! |
---|
| 879 | IF( nn_timing == 1 ) CALL timing_start('zdf_gls_init') |
---|
| 880 | ! |
---|
[4147] | 881 | REWIND( numnam_ref ) ! Namelist namzdf_gls in reference namelist : Vertical eddy diffivity and viscosity using gls turbulent closure scheme |
---|
| 882 | READ ( numnam_ref, namzdf_gls, IOSTAT = ios, ERR = 901) |
---|
| 883 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_gls in reference namelist', lwp ) |
---|
[2048] | 884 | |
---|
[4147] | 885 | REWIND( numnam_cfg ) ! Namelist namzdf_gls in configuration namelist : Vertical eddy diffivity and viscosity using gls turbulent closure scheme |
---|
| 886 | READ ( numnam_cfg, namzdf_gls, IOSTAT = ios, ERR = 902 ) |
---|
| 887 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_gls in configuration namelist', lwp ) |
---|
[4624] | 888 | IF(lwm) WRITE ( numond, namzdf_gls ) |
---|
[4147] | 889 | |
---|
[2397] | 890 | IF(lwp) THEN !* Control print |
---|
[2048] | 891 | WRITE(numout,*) |
---|
| 892 | WRITE(numout,*) 'zdf_gls_init : gls turbulent closure scheme' |
---|
| 893 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
[2397] | 894 | WRITE(numout,*) ' Namelist namzdf_gls : set gls mixing parameters' |
---|
[5109] | 895 | WRITE(numout,*) ' minimum value of en rn_emin = ', rn_emin |
---|
| 896 | WRITE(numout,*) ' minimum value of eps rn_epsmin = ', rn_epsmin |
---|
| 897 | WRITE(numout,*) ' Limit dissipation rate under stable stratif. ln_length_lim = ', ln_length_lim |
---|
| 898 | WRITE(numout,*) ' Galperin limit (Standard: 0.53, Holt: 0.26) rn_clim_galp = ', rn_clim_galp |
---|
| 899 | WRITE(numout,*) ' TKE Surface boundary condition nn_bc_surf = ', nn_bc_surf |
---|
| 900 | WRITE(numout,*) ' TKE Bottom boundary condition nn_bc_bot = ', nn_bc_bot |
---|
| 901 | WRITE(numout,*) ' Modify psi Schmidt number (wb case) ln_sigpsi = ', ln_sigpsi |
---|
[2397] | 902 | WRITE(numout,*) ' Craig and Banner coefficient rn_crban = ', rn_crban |
---|
| 903 | WRITE(numout,*) ' Charnock coefficient rn_charn = ', rn_charn |
---|
[5109] | 904 | WRITE(numout,*) ' Surface roughness formula nn_z0_met = ', nn_z0_met |
---|
| 905 | WRITE(numout,*) ' Wave height frac. (used if nn_z0_met=2) rn_frac_hs = ', rn_frac_hs |
---|
[2397] | 906 | WRITE(numout,*) ' Stability functions nn_stab_func = ', nn_stab_func |
---|
| 907 | WRITE(numout,*) ' Type of closure nn_clos = ', nn_clos |
---|
[5109] | 908 | WRITE(numout,*) ' Surface roughness (m) rn_hsro = ', rn_hsro |
---|
| 909 | WRITE(numout,*) ' Bottom roughness (m) (nambfr namelist) rn_bfrz0 = ', rn_bfrz0 |
---|
[2048] | 910 | ENDIF |
---|
| 911 | |
---|
[2715] | 912 | ! !* allocate gls arrays |
---|
| 913 | IF( zdf_gls_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_gls_init : unable to allocate arrays' ) |
---|
| 914 | |
---|
[2397] | 915 | ! !* Check of some namelist values |
---|
[5109] | 916 | IF( nn_bc_surf < 0 .OR. nn_bc_surf > 1 ) CALL ctl_stop( 'bad flag: nn_bc_surf is 0 or 1' ) |
---|
| 917 | IF( nn_bc_surf < 0 .OR. nn_bc_surf > 1 ) CALL ctl_stop( 'bad flag: nn_bc_surf is 0 or 1' ) |
---|
| 918 | IF( nn_z0_met < 0 .OR. nn_z0_met > 2 ) CALL ctl_stop( 'bad flag: nn_z0_met is 0, 1 or 2' ) |
---|
[2397] | 919 | IF( nn_stab_func < 0 .OR. nn_stab_func > 3 ) CALL ctl_stop( 'bad flag: nn_stab_func is 0, 1, 2 and 3' ) |
---|
| 920 | IF( nn_clos < 0 .OR. nn_clos > 3 ) CALL ctl_stop( 'bad flag: nn_clos is 0, 1, 2 or 3' ) |
---|
[2048] | 921 | |
---|
[2715] | 922 | SELECT CASE ( nn_clos ) !* set the parameters for the chosen closure |
---|
[2048] | 923 | ! |
---|
[2715] | 924 | CASE( 0 ) ! k-kl (Mellor-Yamada) |
---|
[2397] | 925 | ! |
---|
| 926 | IF(lwp) WRITE(numout,*) 'The choosen closure is k-kl closed to the classical Mellor-Yamada' |
---|
| 927 | rpp = 0._wp |
---|
| 928 | rmm = 1._wp |
---|
| 929 | rnn = 1._wp |
---|
| 930 | rsc_tke = 1.96_wp |
---|
| 931 | rsc_psi = 1.96_wp |
---|
| 932 | rpsi1 = 0.9_wp |
---|
| 933 | rpsi3p = 1._wp |
---|
| 934 | rpsi2 = 0.5_wp |
---|
| 935 | ! |
---|
[2048] | 936 | SELECT CASE ( nn_stab_func ) |
---|
[2397] | 937 | CASE( 0, 1 ) ; rpsi3m = 2.53_wp ! G88 or KC stability functions |
---|
[5109] | 938 | CASE( 2 ) ; rpsi3m = 2.62_wp ! Canuto A stability functions |
---|
[2397] | 939 | CASE( 3 ) ; rpsi3m = 2.38 ! Canuto B stability functions (caution : constant not identified) |
---|
| 940 | END SELECT |
---|
[2048] | 941 | ! |
---|
[2715] | 942 | CASE( 1 ) ! k-eps |
---|
[2397] | 943 | ! |
---|
| 944 | IF(lwp) WRITE(numout,*) 'The choosen closure is k-eps' |
---|
| 945 | rpp = 3._wp |
---|
| 946 | rmm = 1.5_wp |
---|
| 947 | rnn = -1._wp |
---|
| 948 | rsc_tke = 1._wp |
---|
[5109] | 949 | rsc_psi = 1.2_wp ! Schmidt number for psi |
---|
[2397] | 950 | rpsi1 = 1.44_wp |
---|
| 951 | rpsi3p = 1._wp |
---|
| 952 | rpsi2 = 1.92_wp |
---|
| 953 | ! |
---|
| 954 | SELECT CASE ( nn_stab_func ) |
---|
| 955 | CASE( 0, 1 ) ; rpsi3m = -0.52_wp ! G88 or KC stability functions |
---|
| 956 | CASE( 2 ) ; rpsi3m = -0.629_wp ! Canuto A stability functions |
---|
| 957 | CASE( 3 ) ; rpsi3m = -0.566 ! Canuto B stability functions |
---|
[2048] | 958 | END SELECT |
---|
[2397] | 959 | ! |
---|
[2715] | 960 | CASE( 2 ) ! k-omega |
---|
[2397] | 961 | ! |
---|
| 962 | IF(lwp) WRITE(numout,*) 'The choosen closure is k-omega' |
---|
| 963 | rpp = -1._wp |
---|
| 964 | rmm = 0.5_wp |
---|
| 965 | rnn = -1._wp |
---|
| 966 | rsc_tke = 2._wp |
---|
| 967 | rsc_psi = 2._wp |
---|
| 968 | rpsi1 = 0.555_wp |
---|
| 969 | rpsi3p = 1._wp |
---|
| 970 | rpsi2 = 0.833_wp |
---|
| 971 | ! |
---|
| 972 | SELECT CASE ( nn_stab_func ) |
---|
| 973 | CASE( 0, 1 ) ; rpsi3m = -0.58_wp ! G88 or KC stability functions |
---|
| 974 | CASE( 2 ) ; rpsi3m = -0.64_wp ! Canuto A stability functions |
---|
| 975 | CASE( 3 ) ; rpsi3m = -0.64_wp ! Canuto B stability functions caution : constant not identified) |
---|
| 976 | END SELECT |
---|
| 977 | ! |
---|
[2715] | 978 | CASE( 3 ) ! generic |
---|
[2397] | 979 | ! |
---|
| 980 | IF(lwp) WRITE(numout,*) 'The choosen closure is generic' |
---|
| 981 | rpp = 2._wp |
---|
| 982 | rmm = 1._wp |
---|
| 983 | rnn = -0.67_wp |
---|
| 984 | rsc_tke = 0.8_wp |
---|
| 985 | rsc_psi = 1.07_wp |
---|
| 986 | rpsi1 = 1._wp |
---|
| 987 | rpsi3p = 1._wp |
---|
| 988 | rpsi2 = 1.22_wp |
---|
| 989 | ! |
---|
| 990 | SELECT CASE ( nn_stab_func ) |
---|
| 991 | CASE( 0, 1 ) ; rpsi3m = 0.1_wp ! G88 or KC stability functions |
---|
| 992 | CASE( 2 ) ; rpsi3m = 0.05_wp ! Canuto A stability functions |
---|
| 993 | CASE( 3 ) ; rpsi3m = 0.05_wp ! Canuto B stability functions caution : constant not identified) |
---|
| 994 | END SELECT |
---|
| 995 | ! |
---|
[2048] | 996 | END SELECT |
---|
| 997 | |
---|
| 998 | ! |
---|
[2715] | 999 | SELECT CASE ( nn_stab_func ) !* set the parameters of the stability functions |
---|
[2048] | 1000 | ! |
---|
[2715] | 1001 | CASE ( 0 ) ! Galperin stability functions |
---|
[2397] | 1002 | ! |
---|
| 1003 | IF(lwp) WRITE(numout,*) 'Stability functions from Galperin' |
---|
| 1004 | rc2 = 0._wp |
---|
| 1005 | rc3 = 0._wp |
---|
| 1006 | rc_diff = 1._wp |
---|
| 1007 | rc0 = 0.5544_wp |
---|
| 1008 | rcm_sf = 0.9884_wp |
---|
| 1009 | rghmin = -0.28_wp |
---|
| 1010 | rgh0 = 0.0233_wp |
---|
| 1011 | rghcri = 0.02_wp |
---|
| 1012 | ! |
---|
[2715] | 1013 | CASE ( 1 ) ! Kantha-Clayson stability functions |
---|
[2397] | 1014 | ! |
---|
| 1015 | IF(lwp) WRITE(numout,*) 'Stability functions from Kantha-Clayson' |
---|
| 1016 | rc2 = 0.7_wp |
---|
| 1017 | rc3 = 0.2_wp |
---|
| 1018 | rc_diff = 1._wp |
---|
| 1019 | rc0 = 0.5544_wp |
---|
| 1020 | rcm_sf = 0.9884_wp |
---|
| 1021 | rghmin = -0.28_wp |
---|
| 1022 | rgh0 = 0.0233_wp |
---|
| 1023 | rghcri = 0.02_wp |
---|
| 1024 | ! |
---|
[2715] | 1025 | CASE ( 2 ) ! Canuto A stability functions |
---|
[2397] | 1026 | ! |
---|
| 1027 | IF(lwp) WRITE(numout,*) 'Stability functions from Canuto A' |
---|
| 1028 | rs0 = 1.5_wp * rl1 * rl5*rl5 |
---|
| 1029 | rs1 = -rl4*(rl6+rl7) + 2._wp*rl4*rl5*(rl1-(1._wp/3._wp)*rl2-rl3) + 1.5_wp*rl1*rl5*rl8 |
---|
| 1030 | rs2 = -(3._wp/8._wp) * rl1*(rl6*rl6-rl7*rl7) |
---|
| 1031 | rs4 = 2._wp * rl5 |
---|
| 1032 | rs5 = 2._wp * rl4 |
---|
| 1033 | rs6 = (2._wp/3._wp) * rl5 * ( 3._wp*rl3*rl3 - rl2*rl2 ) - 0.5_wp * rl5*rl1 * (3._wp*rl3-rl2) & |
---|
| 1034 | & + 0.75_wp * rl1 * ( rl6 - rl7 ) |
---|
| 1035 | rd0 = 3._wp * rl5*rl5 |
---|
| 1036 | rd1 = rl5 * ( 7._wp*rl4 + 3._wp*rl8 ) |
---|
| 1037 | rd2 = rl5*rl5 * ( 3._wp*rl3*rl3 - rl2*rl2 ) - 0.75_wp*(rl6*rl6 - rl7*rl7 ) |
---|
| 1038 | rd3 = rl4 * ( 4._wp*rl4 + 3._wp*rl8) |
---|
| 1039 | rd4 = rl4 * ( rl2 * rl6 - 3._wp*rl3*rl7 - rl5*(rl2*rl2 - rl3*rl3 ) ) + rl5*rl8 * ( 3._wp*rl3*rl3 - rl2*rl2 ) |
---|
| 1040 | rd5 = 0.25_wp * ( rl2*rl2 - 3._wp *rl3*rl3 ) * ( rl6*rl6 - rl7*rl7 ) |
---|
| 1041 | rc0 = 0.5268_wp |
---|
| 1042 | rf6 = 8._wp / (rc0**6._wp) |
---|
| 1043 | rc_diff = SQRT(2._wp) / (rc0**3._wp) |
---|
| 1044 | rcm_sf = 0.7310_wp |
---|
| 1045 | rghmin = -0.28_wp |
---|
| 1046 | rgh0 = 0.0329_wp |
---|
| 1047 | rghcri = 0.03_wp |
---|
| 1048 | ! |
---|
[2715] | 1049 | CASE ( 3 ) ! Canuto B stability functions |
---|
[2397] | 1050 | ! |
---|
| 1051 | IF(lwp) WRITE(numout,*) 'Stability functions from Canuto B' |
---|
| 1052 | rs0 = 1.5_wp * rm1 * rm5*rm5 |
---|
| 1053 | rs1 = -rm4 * (rm6+rm7) + 2._wp * rm4*rm5*(rm1-(1._wp/3._wp)*rm2-rm3) + 1.5_wp * rm1*rm5*rm8 |
---|
| 1054 | rs2 = -(3._wp/8._wp) * rm1 * (rm6*rm6-rm7*rm7 ) |
---|
| 1055 | rs4 = 2._wp * rm5 |
---|
| 1056 | rs5 = 2._wp * rm4 |
---|
| 1057 | 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) |
---|
| 1058 | rd0 = 3._wp * rm5*rm5 |
---|
| 1059 | rd1 = rm5 * (7._wp*rm4 + 3._wp*rm8) |
---|
| 1060 | rd2 = rm5*rm5 * (3._wp*rm3*rm3 - rm2*rm2) - 0.75_wp * (rm6*rm6 - rm7*rm7) |
---|
| 1061 | rd3 = rm4 * ( 4._wp*rm4 + 3._wp*rm8 ) |
---|
| 1062 | rd4 = rm4 * ( rm2*rm6 -3._wp*rm3*rm7 - rm5*(rm2*rm2 - rm3*rm3) ) + rm5 * rm8 * ( 3._wp*rm3*rm3 - rm2*rm2 ) |
---|
| 1063 | rd5 = 0.25_wp * ( rm2*rm2 - 3._wp*rm3*rm3 ) * ( rm6*rm6 - rm7*rm7 ) |
---|
| 1064 | rc0 = 0.5268_wp !! rc0 = 0.5540_wp (Warner ...) to verify ! |
---|
| 1065 | rf6 = 8._wp / ( rc0**6._wp ) |
---|
| 1066 | rc_diff = SQRT(2._wp)/(rc0**3.) |
---|
| 1067 | rcm_sf = 0.7470_wp |
---|
| 1068 | rghmin = -0.28_wp |
---|
| 1069 | rgh0 = 0.0444_wp |
---|
| 1070 | rghcri = 0.0414_wp |
---|
| 1071 | ! |
---|
[2048] | 1072 | END SELECT |
---|
| 1073 | |
---|
[2715] | 1074 | ! !* Set Schmidt number for psi diffusion in the wave breaking case |
---|
| 1075 | ! ! See Eq. (13) of Carniel et al, OM, 30, 225-239, 2009 |
---|
| 1076 | ! ! or Eq. (17) of Burchard, JPO, 31, 3133-3145, 2001 |
---|
[5109] | 1077 | IF( ln_sigpsi ) THEN |
---|
| 1078 | ra_sf = -1.5 ! Set kinetic energy slope, then deduce rsc_psi and rl_sf |
---|
| 1079 | ! Verification: retrieve Burchard (2001) results by uncomenting the line below: |
---|
| 1080 | ! Note that the results depend on the value of rn_cm_sf which is constant (=rc0) in his work |
---|
| 1081 | ! ra_sf = -SQRT(2./3.*rc0**3./rn_cm_sf*rn_sc_tke)/vkarmn |
---|
| 1082 | rsc_psi0 = rsc_tke/(24.*rpsi2)*(-1.+(4.*rnn + ra_sf*(1.+4.*rmm))**2./(ra_sf**2.)) |
---|
[2048] | 1083 | ELSE |
---|
[2299] | 1084 | rsc_psi0 = rsc_psi |
---|
[2048] | 1085 | ENDIF |
---|
| 1086 | |
---|
[2715] | 1087 | ! !* Shear free turbulence parameters |
---|
[2048] | 1088 | ! |
---|
[5109] | 1089 | ra_sf = -4._wp*rnn*SQRT(rsc_tke) / ( (1._wp+4._wp*rmm)*SQRT(rsc_tke) & |
---|
| 1090 | & - SQRT(rsc_tke + 24._wp*rsc_psi0*rpsi2 ) ) |
---|
[2048] | 1091 | |
---|
[5109] | 1092 | IF ( rn_crban==0._wp ) THEN |
---|
| 1093 | rl_sf = vkarmn |
---|
| 1094 | ELSE |
---|
| 1095 | rl_sf = rc0 * SQRT(rc0/rcm_sf) * SQRT( ( (1._wp + 4._wp*rmm + 8._wp*rmm**2_wp)*rsc_tke & |
---|
| 1096 | & + 12._wp * rsc_psi0*rpsi2 - (1._wp + 4._wp*rmm) & |
---|
| 1097 | & *SQRT(rsc_tke*(rsc_tke & |
---|
| 1098 | & + 24._wp*rsc_psi0*rpsi2)) ) & |
---|
| 1099 | & /(12._wp*rnn**2.) & |
---|
| 1100 | & ) |
---|
| 1101 | ENDIF |
---|
| 1102 | |
---|
[2048] | 1103 | ! |
---|
[2715] | 1104 | IF(lwp) THEN !* Control print |
---|
[2048] | 1105 | WRITE(numout,*) |
---|
| 1106 | WRITE(numout,*) 'Limit values' |
---|
| 1107 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
[2299] | 1108 | WRITE(numout,*) 'Parameter m = ',rmm |
---|
| 1109 | WRITE(numout,*) 'Parameter n = ',rnn |
---|
| 1110 | WRITE(numout,*) 'Parameter p = ',rpp |
---|
| 1111 | WRITE(numout,*) 'rpsi1 = ',rpsi1 |
---|
| 1112 | WRITE(numout,*) 'rpsi2 = ',rpsi2 |
---|
| 1113 | WRITE(numout,*) 'rpsi3m = ',rpsi3m |
---|
| 1114 | WRITE(numout,*) 'rpsi3p = ',rpsi3p |
---|
| 1115 | WRITE(numout,*) 'rsc_tke = ',rsc_tke |
---|
| 1116 | WRITE(numout,*) 'rsc_psi = ',rsc_psi |
---|
| 1117 | WRITE(numout,*) 'rsc_psi0 = ',rsc_psi0 |
---|
| 1118 | WRITE(numout,*) 'rc0 = ',rc0 |
---|
[2048] | 1119 | WRITE(numout,*) |
---|
| 1120 | WRITE(numout,*) 'Shear free turbulence parameters:' |
---|
[2299] | 1121 | WRITE(numout,*) 'rcm_sf = ',rcm_sf |
---|
| 1122 | WRITE(numout,*) 'ra_sf = ',ra_sf |
---|
| 1123 | WRITE(numout,*) 'rl_sf = ',rl_sf |
---|
[2048] | 1124 | WRITE(numout,*) |
---|
| 1125 | ENDIF |
---|
| 1126 | |
---|
[2715] | 1127 | ! !* Constants initialization |
---|
[2397] | 1128 | rc02 = rc0 * rc0 ; rc02r = 1. / rc02 |
---|
| 1129 | rc03 = rc02 * rc0 |
---|
| 1130 | rc04 = rc03 * rc0 |
---|
[5109] | 1131 | rsbc_tke1 = -3._wp/2._wp*rn_crban*ra_sf*rl_sf ! Dirichlet + Wave breaking |
---|
| 1132 | rsbc_tke2 = rdt * rn_crban / rl_sf ! Neumann + Wave breaking |
---|
| 1133 | zcr = MAX(rsmall, rsbc_tke1**(1./(-ra_sf*3._wp/2._wp))-1._wp ) |
---|
| 1134 | rtrans = 0.2_wp / zcr ! Ad. inverse transition length between log and wave layer |
---|
| 1135 | rsbc_zs1 = rn_charn/grav ! Charnock formula for surface roughness |
---|
| 1136 | rsbc_zs2 = rn_frac_hs / 0.85_wp / grav * 665._wp ! Rascle formula for surface roughness |
---|
| 1137 | rsbc_psi1 = -0.5_wp * rdt * rc0**(rpp-2._wp*rmm) / rsc_psi |
---|
| 1138 | rsbc_psi2 = -0.5_wp * rdt * rc0**rpp * rnn * vkarmn**rnn / rsc_psi ! Neumann + NO Wave breaking |
---|
[2048] | 1139 | |
---|
[5109] | 1140 | rfact_tke = -0.5_wp / rsc_tke * rdt ! Cst used for the Diffusion term of tke |
---|
| 1141 | rfact_psi = -0.5_wp / rsc_psi * rdt ! Cst used for the Diffusion term of tke |
---|
| 1142 | |
---|
[2397] | 1143 | ! !* Wall proximity function |
---|
[2048] | 1144 | zwall (:,:,:) = 1._wp * tmask(:,:,:) |
---|
| 1145 | |
---|
[2397] | 1146 | ! !* set vertical eddy coef. to the background value |
---|
[2048] | 1147 | DO jk = 1, jpk |
---|
| 1148 | avt (:,:,jk) = avtb(jk) * tmask(:,:,jk) |
---|
| 1149 | avm (:,:,jk) = avmb(jk) * tmask(:,:,jk) |
---|
| 1150 | avmu(:,:,jk) = avmb(jk) * umask(:,:,jk) |
---|
| 1151 | avmv(:,:,jk) = avmb(jk) * vmask(:,:,jk) |
---|
| 1152 | END DO |
---|
[2715] | 1153 | ! |
---|
| 1154 | CALL gls_rst( nit000, 'READ' ) !* read or initialize all required files |
---|
[2048] | 1155 | ! |
---|
[3294] | 1156 | IF( nn_timing == 1 ) CALL timing_stop('zdf_gls_init') |
---|
| 1157 | ! |
---|
[2048] | 1158 | END SUBROUTINE zdf_gls_init |
---|
| 1159 | |
---|
[2329] | 1160 | |
---|
[2048] | 1161 | SUBROUTINE gls_rst( kt, cdrw ) |
---|
[2452] | 1162 | !!--------------------------------------------------------------------- |
---|
| 1163 | !! *** ROUTINE ts_rst *** |
---|
| 1164 | !! |
---|
| 1165 | !! ** Purpose : Read or write TKE file (en) in restart file |
---|
| 1166 | !! |
---|
| 1167 | !! ** Method : use of IOM library |
---|
| 1168 | !! if the restart does not contain TKE, en is either |
---|
| 1169 | !! set to rn_emin or recomputed (nn_igls/=0) |
---|
| 1170 | !!---------------------------------------------------------------------- |
---|
| 1171 | INTEGER , INTENT(in) :: kt ! ocean time-step |
---|
| 1172 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
---|
| 1173 | ! |
---|
| 1174 | INTEGER :: jit, jk ! dummy loop indices |
---|
[3294] | 1175 | INTEGER :: id1, id2, id3, id4, id5, id6 |
---|
[2452] | 1176 | INTEGER :: ji, jj, ikbu, ikbv |
---|
| 1177 | REAL(wp):: cbx, cby |
---|
| 1178 | !!---------------------------------------------------------------------- |
---|
| 1179 | ! |
---|
| 1180 | IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialise |
---|
| 1181 | ! ! --------------- |
---|
| 1182 | IF( ln_rstart ) THEN !* Read the restart file |
---|
| 1183 | id1 = iom_varid( numror, 'en' , ldstop = .FALSE. ) |
---|
| 1184 | id2 = iom_varid( numror, 'avt' , ldstop = .FALSE. ) |
---|
| 1185 | id3 = iom_varid( numror, 'avm' , ldstop = .FALSE. ) |
---|
| 1186 | id4 = iom_varid( numror, 'avmu' , ldstop = .FALSE. ) |
---|
| 1187 | id5 = iom_varid( numror, 'avmv' , ldstop = .FALSE. ) |
---|
| 1188 | id6 = iom_varid( numror, 'mxln' , ldstop = .FALSE. ) |
---|
| 1189 | ! |
---|
[3294] | 1190 | IF( MIN( id1, id2, id3, id4, id5, id6 ) > 0 ) THEN ! all required arrays exist |
---|
[10302] | 1191 | IF(nn_timing == 2) CALL timing_start('iom_rstget') |
---|
[2452] | 1192 | CALL iom_get( numror, jpdom_autoglo, 'en' , en ) |
---|
| 1193 | CALL iom_get( numror, jpdom_autoglo, 'avt' , avt ) |
---|
| 1194 | CALL iom_get( numror, jpdom_autoglo, 'avm' , avm ) |
---|
| 1195 | CALL iom_get( numror, jpdom_autoglo, 'avmu' , avmu ) |
---|
| 1196 | CALL iom_get( numror, jpdom_autoglo, 'avmv' , avmv ) |
---|
| 1197 | CALL iom_get( numror, jpdom_autoglo, 'mxln' , mxln ) |
---|
[10302] | 1198 | IF(nn_timing == 2) CALL timing_stop('iom_rstget') |
---|
[2452] | 1199 | ELSE |
---|
| 1200 | IF(lwp) WRITE(numout,*) ' ===>>>> : previous run without gls scheme, en and mxln computed by iterative loop' |
---|
| 1201 | en (:,:,:) = rn_emin |
---|
[5109] | 1202 | mxln(:,:,:) = 0.05 |
---|
[4839] | 1203 | avt_k (:,:,:) = avt (:,:,:) |
---|
| 1204 | avm_k (:,:,:) = avm (:,:,:) |
---|
| 1205 | avmu_k(:,:,:) = avmu(:,:,:) |
---|
| 1206 | avmv_k(:,:,:) = avmv(:,:,:) |
---|
[2452] | 1207 | DO jit = nit000 + 1, nit000 + 10 ; CALL zdf_gls( jit ) ; END DO |
---|
| 1208 | ENDIF |
---|
| 1209 | ELSE !* Start from rest |
---|
| 1210 | IF(lwp) WRITE(numout,*) ' ===>>>> : Initialisation of en and mxln by background values' |
---|
| 1211 | en (:,:,:) = rn_emin |
---|
[5109] | 1212 | mxln(:,:,:) = 0.05 |
---|
[2452] | 1213 | ENDIF |
---|
| 1214 | ! |
---|
| 1215 | ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file |
---|
| 1216 | ! ! ------------------- |
---|
| 1217 | IF(lwp) WRITE(numout,*) '---- gls-rst ----' |
---|
[10302] | 1218 | IF(nn_timing == 2) CALL timing_start('iom_rstput') |
---|
[5109] | 1219 | CALL iom_rstput( kt, nitrst, numrow, 'en' , en ) |
---|
[3798] | 1220 | CALL iom_rstput( kt, nitrst, numrow, 'avt' , avt_k ) |
---|
| 1221 | CALL iom_rstput( kt, nitrst, numrow, 'avm' , avm_k ) |
---|
[5109] | 1222 | CALL iom_rstput( kt, nitrst, numrow, 'avmu' , avmu_k ) |
---|
[3798] | 1223 | CALL iom_rstput( kt, nitrst, numrow, 'avmv' , avmv_k ) |
---|
| 1224 | CALL iom_rstput( kt, nitrst, numrow, 'mxln' , mxln ) |
---|
[10302] | 1225 | IF(nn_timing == 2) CALL timing_stop('iom_rstput') |
---|
[2452] | 1226 | ! |
---|
| 1227 | ENDIF |
---|
| 1228 | ! |
---|
[2048] | 1229 | END SUBROUTINE gls_rst |
---|
| 1230 | |
---|
| 1231 | #else |
---|
| 1232 | !!---------------------------------------------------------------------- |
---|
| 1233 | !! Dummy module : NO TKE scheme |
---|
| 1234 | !!---------------------------------------------------------------------- |
---|
| 1235 | LOGICAL, PUBLIC, PARAMETER :: lk_zdfgls = .FALSE. !: TKE flag |
---|
| 1236 | CONTAINS |
---|
[2409] | 1237 | SUBROUTINE zdf_gls_init ! Empty routine |
---|
[10302] | 1238 | IMPLICIT NONE |
---|
[2409] | 1239 | WRITE(*,*) 'zdf_gls_init: You should not have seen this print! error?' |
---|
| 1240 | END SUBROUTINE zdf_gls_init |
---|
[10302] | 1241 | |
---|
[2048] | 1242 | SUBROUTINE zdf_gls( kt ) ! Empty routine |
---|
[10302] | 1243 | IMPLICIT NONE |
---|
| 1244 | INTEGER, INTENT(in) :: kt ! ocean time step |
---|
[2048] | 1245 | WRITE(*,*) 'zdf_gls: You should not have seen this print! error?', kt |
---|
| 1246 | END SUBROUTINE zdf_gls |
---|
[10302] | 1247 | |
---|
[2397] | 1248 | SUBROUTINE gls_rst( kt, cdrw ) ! Empty routine |
---|
[10302] | 1249 | IMPLICIT NONE |
---|
[2264] | 1250 | INTEGER , INTENT(in) :: kt ! ocean time-step |
---|
| 1251 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
---|
[2397] | 1252 | WRITE(*,*) 'gls_rst: You should not have seen this print! error?', kt, cdrw |
---|
[2264] | 1253 | END SUBROUTINE gls_rst |
---|
[2048] | 1254 | #endif |
---|
| 1255 | |
---|
| 1256 | !!====================================================================== |
---|
| 1257 | END MODULE zdfgls |
---|
[2397] | 1258 | |
---|