[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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| 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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| 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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| 22 | USE sbc_oce ! surface boundary condition: ocean |
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| 23 | USE phycst ! physical constants |
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| 24 | USE zdfmxl ! mixed layer |
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| 25 | USE restart ! only for lrst_oce |
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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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[2048] | 33 | |
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| 34 | IMPLICIT NONE |
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| 35 | PRIVATE |
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| 36 | |
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[2329] | 37 | PUBLIC zdf_gls ! routine called in step module |
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[2397] | 38 | PUBLIC zdf_gls_init ! routine called in opa module |
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[2329] | 39 | PUBLIC gls_rst ! routine called in step module |
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[2048] | 40 | |
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[2715] | 41 | LOGICAL , PUBLIC, PARAMETER :: lk_zdfgls = .TRUE. !: TKE vertical mixing flag |
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| 42 | ! |
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| 43 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: en !: now turbulent kinetic energy |
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| 44 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: mxln !: now mixing length |
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| 45 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: zwall !: wall function |
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| 46 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ustars2 !: Squared surface velocity scale at T-points |
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| 47 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ustarb2 !: Squared bottom velocity scale at T-points |
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[2048] | 48 | |
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| 49 | ! !!! ** Namelist namzdf_gls ** |
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[2293] | 50 | LOGICAL :: ln_crban = .FALSE. ! =T use Craig and Banner scheme |
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[2397] | 51 | LOGICAL :: ln_length_lim = .FALSE. ! use limit on the dissipation rate under stable stratification (Galperin et al. 1988) |
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| 52 | LOGICAL :: ln_sigpsi = .FALSE. ! Activate Burchard (2003) modification for k-eps closure & wave breaking mixing |
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[2048] | 53 | INTEGER :: nn_tkebc_surf = 0 ! TKE surface boundary condition (=0/1) |
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| 54 | INTEGER :: nn_tkebc_bot = 0 ! TKE bottom boundary condition (=0/1) |
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| 55 | INTEGER :: nn_psibc_surf = 0 ! PSI surface boundary condition (=0/1) |
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| 56 | INTEGER :: nn_psibc_bot = 0 ! PSI bottom boundary condition (=0/1) |
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| 57 | INTEGER :: nn_stab_func = 0 ! stability functions G88, KC or Canuto (=0/1/2) |
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[2293] | 58 | INTEGER :: nn_clos = 0 ! closure 0/1/2/3 MY82/k-eps/k-w/gen |
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| 59 | REAL(wp) :: rn_clim_galp = 0.53_wp ! Holt 2008 value for k-eps: 0.267 |
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[2397] | 60 | REAL(wp) :: rn_epsmin = 1.e-12_wp ! minimum value of dissipation (m2/s3) |
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| 61 | REAL(wp) :: rn_emin = 1.e-6_wp ! minimum value of TKE (m2/s2) |
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[2293] | 62 | REAL(wp) :: rn_charn = 2.e+5_wp ! Charnock constant for surface breaking waves mixing : 1400. (standard) or 2.e5 (Stacey value) |
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| 63 | REAL(wp) :: rn_crban = 100._wp ! Craig and Banner constant for surface breaking waves mixing |
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[2048] | 64 | |
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[2397] | 65 | REAL(wp) :: hsro = 0.003_wp ! Minimum surface roughness |
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[2497] | 66 | REAL(wp) :: hbro = 0.003_wp ! Bottom roughness (m) |
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[2397] | 67 | REAL(wp) :: rcm_sf = 0.73_wp ! Shear free turbulence parameters |
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| 68 | REAL(wp) :: ra_sf = -2.0_wp ! Must be negative -2 < ra_sf < -1 |
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| 69 | REAL(wp) :: rl_sf = 0.2_wp ! 0 <rl_sf<vkarmn |
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| 70 | REAL(wp) :: rghmin = -0.28_wp |
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| 71 | REAL(wp) :: rgh0 = 0.0329_wp |
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| 72 | REAL(wp) :: rghcri = 0.03_wp |
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[2299] | 73 | REAL(wp) :: ra1 = 0.92_wp |
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| 74 | REAL(wp) :: ra2 = 0.74_wp |
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| 75 | REAL(wp) :: rb1 = 16.60_wp |
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| 76 | REAL(wp) :: rb2 = 10.10_wp |
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| 77 | REAL(wp) :: re2 = 1.33_wp |
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| 78 | REAL(wp) :: rl1 = 0.107_wp |
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| 79 | REAL(wp) :: rl2 = 0.0032_wp |
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| 80 | REAL(wp) :: rl3 = 0.0864_wp |
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| 81 | REAL(wp) :: rl4 = 0.12_wp |
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| 82 | REAL(wp) :: rl5 = 11.9_wp |
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| 83 | REAL(wp) :: rl6 = 0.4_wp |
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| 84 | REAL(wp) :: rl7 = 0.0_wp |
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| 85 | REAL(wp) :: rl8 = 0.48_wp |
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| 86 | REAL(wp) :: rm1 = 0.127_wp |
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| 87 | REAL(wp) :: rm2 = 0.00336_wp |
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| 88 | REAL(wp) :: rm3 = 0.0906_wp |
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| 89 | REAL(wp) :: rm4 = 0.101_wp |
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| 90 | REAL(wp) :: rm5 = 11.2_wp |
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| 91 | REAL(wp) :: rm6 = 0.4_wp |
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| 92 | REAL(wp) :: rm7 = 0.0_wp |
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| 93 | REAL(wp) :: rm8 = 0.318_wp |
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[2397] | 94 | |
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| 95 | REAL(wp) :: rc02, rc02r, rc03, rc04 ! coefficients deduced from above parameters |
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| 96 | REAL(wp) :: rc03_sqrt2_galp ! - - - - |
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| 97 | REAL(wp) :: rsbc_tke1, rsbc_tke2, rsbc_tke3, rfact_tke ! - - - - |
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| 98 | REAL(wp) :: rsbc_psi1, rsbc_psi2, rsbc_psi3, rfact_psi ! - - - - |
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| 99 | REAL(wp) :: rsbc_mb , rsbc_std , rsbc_zs ! - - - - |
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| 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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[2299] | 105 | |
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[2048] | 106 | !! * Substitutions |
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| 107 | # include "domzgr_substitute.h90" |
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| 108 | # include "vectopt_loop_substitute.h90" |
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| 109 | !!---------------------------------------------------------------------- |
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[2287] | 110 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[2715] | 111 | !! $Id$ |
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[2329] | 112 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[2048] | 113 | !!---------------------------------------------------------------------- |
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| 114 | CONTAINS |
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| 115 | |
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[2715] | 116 | INTEGER FUNCTION zdf_gls_alloc() |
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| 117 | !!---------------------------------------------------------------------- |
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| 118 | !! *** FUNCTION zdf_gls_alloc *** |
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| 119 | !!---------------------------------------------------------------------- |
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| 120 | ALLOCATE( en(jpi,jpj,jpk), mxln(jpi,jpj,jpk), zwall(jpi,jpj,jpk) , & |
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| 121 | & ustars2(jpi,jpj), ustarb2(jpi,jpj) , STAT= zdf_gls_alloc ) |
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| 122 | ! |
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| 123 | IF( lk_mpp ) CALL mpp_sum ( zdf_gls_alloc ) |
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| 124 | IF( zdf_gls_alloc /= 0 ) CALL ctl_warn('zdf_gls_alloc: failed to allocate arrays') |
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| 125 | END FUNCTION zdf_gls_alloc |
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| 126 | |
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| 127 | |
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[2048] | 128 | SUBROUTINE zdf_gls( kt ) |
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| 129 | !!---------------------------------------------------------------------- |
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| 130 | !! *** ROUTINE zdf_gls *** |
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| 131 | !! |
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| 132 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
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[2397] | 133 | !! coefficients using the GLS turbulent closure scheme. |
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[2048] | 134 | !!---------------------------------------------------------------------- |
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| 135 | INTEGER, INTENT(in) :: kt ! ocean time step |
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| 136 | INTEGER :: ji, jj, jk, ibot, ibotm1, dir ! dummy loop arguments |
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[2397] | 137 | REAL(wp) :: zesh2, zsigpsi, zcoef, zex1, zex2 ! local scalars |
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| 138 | REAL(wp) :: ztx2, zty2, zup, zdown, zcof ! - - |
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| 139 | REAL(wp) :: zratio, zrn2, zflxb, sh ! - - |
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| 140 | REAL(wp) :: prod, buoy, diss, zdiss, sm ! - - |
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| 141 | REAL(wp) :: gh, gm, shr, dif, zsqen, zav ! - - |
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[3294] | 142 | REAL(wp), POINTER, DIMENSION(:,: ) :: zdep |
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| 143 | REAL(wp), POINTER, DIMENSION(:,: ) :: zflxs ! Turbulence fluxed induced by internal waves |
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| 144 | REAL(wp), POINTER, DIMENSION(:,: ) :: zhsro ! Surface roughness (surface waves) |
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| 145 | REAL(wp), POINTER, DIMENSION(:,:,:) :: eb ! tke at time before |
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| 146 | REAL(wp), POINTER, DIMENSION(:,:,:) :: mxlb ! mixing length at time before |
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| 147 | REAL(wp), POINTER, DIMENSION(:,:,:) :: shear ! vertical shear |
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| 148 | REAL(wp), POINTER, DIMENSION(:,:,:) :: eps ! dissipation rate |
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| 149 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwall_psi ! Wall function use in the wb case (ln_sigpsi.AND.ln_crban=T) |
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| 150 | REAL(wp), POINTER, DIMENSION(:,:,:) :: z_elem_a, z_elem_b, z_elem_c, psi |
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[2048] | 151 | !!-------------------------------------------------------------------- |
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[3294] | 152 | ! |
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| 153 | IF( nn_timing == 1 ) CALL timing_start('zdf_gls') |
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| 154 | ! |
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| 155 | CALL wrk_alloc( jpi,jpj, zdep, zflxs, zhsro ) |
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| 156 | 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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[2048] | 157 | |
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| 158 | ! Preliminary computing |
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| 159 | |
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[2397] | 160 | ustars2 = 0._wp ; ustarb2 = 0._wp ; psi = 0._wp ; zwall_psi = 0._wp |
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[2048] | 161 | |
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[2497] | 162 | ! Compute surface and bottom friction at T-points |
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[2048] | 163 | !CDIR NOVERRCHK |
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| 164 | DO jj = 2, jpjm1 |
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| 165 | !CDIR NOVERRCHK |
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[2497] | 166 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 167 | ! |
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| 168 | ! surface friction |
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| 169 | ustars2(ji,jj) = rau0r * taum(ji,jj) * tmask(ji,jj,1) |
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| 170 | ! |
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| 171 | ! bottom friction (explicit before friction) |
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| 172 | ! Note that we chose here not to bound the friction as in dynbfr) |
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| 173 | 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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| 174 | & * ( 1._wp - 0.5_wp * umask(ji,jj,1) * umask(ji-1,jj,1) ) |
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| 175 | 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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| 176 | & * ( 1._wp - 0.5_wp * vmask(ji,jj,1) * vmask(ji,jj-1,1) ) |
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| 177 | ustarb2(ji,jj) = SQRT( ztx2 * ztx2 + zty2 * zty2 ) * tmask(ji,jj,1) |
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| 178 | END DO |
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[2397] | 179 | END DO |
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[2048] | 180 | |
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| 181 | ! In case of breaking surface waves mixing, |
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| 182 | ! Compute surface roughness length according to Charnock formula: |
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[2397] | 183 | IF( ln_crban ) THEN ; zhsro(:,:) = MAX(rsbc_zs * ustars2(:,:), hsro) |
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| 184 | ELSE ; zhsro(:,:) = hsro |
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[2048] | 185 | ENDIF |
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| 186 | |
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| 187 | ! Compute shear and dissipation rate |
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| 188 | DO jk = 2, jpkm1 |
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| 189 | DO jj = 2, jpjm1 |
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| 190 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 191 | avmu(ji,jj,jk) = avmu(ji,jj,jk) * ( un(ji,jj,jk-1) - un(ji,jj,jk) ) & |
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| 192 | & * ( ub(ji,jj,jk-1) - ub(ji,jj,jk) ) & |
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| 193 | & / ( fse3uw_n(ji,jj,jk) & |
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| 194 | & * fse3uw_b(ji,jj,jk) ) |
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| 195 | avmv(ji,jj,jk) = avmv(ji,jj,jk) * ( vn(ji,jj,jk-1) - vn(ji,jj,jk) ) & |
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| 196 | & * ( vb(ji,jj,jk-1) - vb(ji,jj,jk) ) & |
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| 197 | & / ( fse3vw_n(ji,jj,jk) & |
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| 198 | & * fse3vw_b(ji,jj,jk) ) |
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[2299] | 199 | eps(ji,jj,jk) = rc03 * en(ji,jj,jk) * SQRT(en(ji,jj,jk)) / mxln(ji,jj,jk) |
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[2397] | 200 | END DO |
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| 201 | END DO |
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| 202 | END DO |
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[2048] | 203 | ! |
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| 204 | ! Lateral boundary conditions (avmu,avmv) (sign unchanged) |
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[2397] | 205 | CALL lbc_lnk( avmu, 'U', 1. ) ; CALL lbc_lnk( avmv, 'V', 1. ) |
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[2048] | 206 | |
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| 207 | ! Save tke at before time step |
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| 208 | eb (:,:,:) = en (:,:,:) |
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| 209 | mxlb(:,:,:) = mxln(:,:,:) |
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| 210 | |
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[2397] | 211 | IF( nn_clos == 0 ) THEN ! Mellor-Yamada |
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[2048] | 212 | DO jk = 2, jpkm1 |
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| 213 | DO jj = 2, jpjm1 |
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| 214 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2450] | 215 | zup = mxln(ji,jj,jk) * fsdepw(ji,jj,mbkt(ji,jj)+1) |
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| 216 | zdown = vkarmn * fsdepw(ji,jj,jk) * ( -fsdepw(ji,jj,jk) + fsdepw(ji,jj,mbkt(ji,jj)+1) ) |
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[2397] | 217 | zcoef = ( zup / MAX( zdown, rsmall ) ) |
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| 218 | zwall (ji,jj,jk) = ( 1._wp + re2 * zcoef*zcoef ) * tmask(ji,jj,jk) |
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| 219 | END DO |
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| 220 | END DO |
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| 221 | END DO |
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[2048] | 222 | ENDIF |
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| 223 | |
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| 224 | !!---------------------------------!! |
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| 225 | !! Equation to prognostic k !! |
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| 226 | !!---------------------------------!! |
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| 227 | ! |
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| 228 | ! Now Turbulent kinetic energy (output in en) |
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| 229 | ! ------------------------------- |
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| 230 | ! Resolution of a tridiagonal linear system by a "methode de chasse" |
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| 231 | ! computation from level 2 to jpkm1 (e(1) computed after and e(jpk)=0 ). |
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| 232 | ! The surface boundary condition are set after |
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| 233 | ! The bottom boundary condition are also set after. In standard e(bottom)=0. |
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| 234 | ! z_elem_b : diagonal z_elem_c : upper diagonal z_elem_a : lower diagonal |
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| 235 | ! Warning : after this step, en : right hand side of the matrix |
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| 236 | |
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| 237 | DO jk = 2, jpkm1 |
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| 238 | DO jj = 2, jpjm1 |
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| 239 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 240 | ! |
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| 241 | ! shear prod. at w-point weightened by mask |
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| 242 | 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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| 243 | & + ( 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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| 244 | ! |
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| 245 | ! stratif. destruction |
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| 246 | buoy = - avt(ji,jj,jk) * rn2(ji,jj,jk) |
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| 247 | ! |
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| 248 | ! shear prod. - stratif. destruction |
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| 249 | diss = eps(ji,jj,jk) |
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| 250 | ! |
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[2397] | 251 | 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] | 252 | ! |
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[2397] | 253 | zesh2 = dir*(shear(ji,jj,jk)+buoy)+(1._wp-dir)*shear(ji,jj,jk) ! production term |
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| 254 | zdiss = dir*(diss/en(ji,jj,jk)) +(1._wp-dir)*(diss-buoy)/en(ji,jj,jk) ! dissipation term |
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[2048] | 255 | ! |
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[2299] | 256 | ! Compute a wall function from 1. to rsc_psi*zwall/rsc_psi0 |
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[2048] | 257 | ! Note that as long that Dirichlet boundary conditions are NOT set at the first and last levels (GOTM style) |
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| 258 | ! there is no need to set a boundary condition for zwall_psi at the top and bottom boundaries. |
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[2299] | 259 | ! Otherwise, this should be rsc_psi/rsc_psi0 |
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[2397] | 260 | IF( ln_sigpsi ) THEN |
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| 261 | zsigpsi = MIN( 1._wp, zesh2 / eps(ji,jj,jk) ) ! 0. <= zsigpsi <= 1. |
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[3294] | 262 | zwall_psi(ji,jj,jk) = rsc_psi / & |
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| 263 | & ( zsigpsi * rsc_psi + (1._wp-zsigpsi) * rsc_psi0 / MAX( zwall(ji,jj,jk), 1._wp ) ) |
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[2048] | 264 | ELSE |
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[2397] | 265 | zwall_psi(ji,jj,jk) = 1._wp |
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[2048] | 266 | ENDIF |
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| 267 | ! |
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| 268 | ! building the matrix |
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[2299] | 269 | zcof = rfact_tke * tmask(ji,jj,jk) |
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[2048] | 270 | ! |
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| 271 | ! lower diagonal |
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| 272 | z_elem_a(ji,jj,jk) = zcof * ( avm (ji,jj,jk ) + avm (ji,jj,jk-1) ) & |
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| 273 | & / ( fse3t(ji,jj,jk-1) * fse3w(ji,jj,jk ) ) |
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| 274 | ! |
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| 275 | ! upper diagonal |
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| 276 | z_elem_c(ji,jj,jk) = zcof * ( avm (ji,jj,jk+1) + avm (ji,jj,jk ) ) & |
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| 277 | & / ( fse3t(ji,jj,jk ) * fse3w(ji,jj,jk) ) |
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| 278 | ! |
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| 279 | ! diagonal |
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[2397] | 280 | z_elem_b(ji,jj,jk) = 1._wp - z_elem_a(ji,jj,jk) - z_elem_c(ji,jj,jk) & |
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| 281 | & + rdt * zdiss * tmask(ji,jj,jk) |
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[2048] | 282 | ! |
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| 283 | ! right hand side in en |
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| 284 | en(ji,jj,jk) = en(ji,jj,jk) + rdt * zesh2 * tmask(ji,jj,jk) |
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| 285 | END DO |
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| 286 | END DO |
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| 287 | END DO |
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| 288 | ! |
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[2397] | 289 | z_elem_b(:,:,jpk) = 1._wp |
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[2048] | 290 | ! |
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| 291 | ! Set surface condition on zwall_psi (1 at the bottom) |
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[2397] | 292 | IF( ln_sigpsi ) THEN |
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| 293 | zcoef = rsc_psi / rsc_psi0 |
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| 294 | DO jj = 2, jpjm1 |
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| 295 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 296 | zwall_psi(ji,jj,1) = zcoef |
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| 297 | END DO |
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| 298 | END DO |
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[2048] | 299 | ENDIF |
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| 300 | |
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| 301 | ! Surface boundary condition on tke |
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| 302 | ! --------------------------------- |
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| 303 | ! |
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| 304 | SELECT CASE ( nn_tkebc_surf ) |
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| 305 | ! |
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| 306 | CASE ( 0 ) ! Dirichlet case |
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[2397] | 307 | ! |
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| 308 | IF (ln_crban) THEN ! Wave induced mixing case |
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| 309 | ! ! en(1) = q2(1) = 0.5 * (15.8 * Ccb)^(2/3) * u*^2 |
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| 310 | ! ! balance between the production and the dissipation terms including the wave effect |
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| 311 | en(:,:,1) = MAX( rsbc_tke1 * ustars2(:,:), rn_emin ) |
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| 312 | z_elem_a(:,:,1) = en(:,:,1) |
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| 313 | z_elem_c(:,:,1) = 0._wp |
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| 314 | z_elem_b(:,:,1) = 1._wp |
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| 315 | ! |
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| 316 | ! one level below |
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| 317 | en(:,:,2) = MAX( rsbc_tke1 * ustars2(:,:) * ( (zhsro(:,:)+fsdepw(:,:,2))/zhsro(:,:) )**ra_sf, rn_emin ) |
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| 318 | z_elem_a(:,:,2) = 0._wp |
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| 319 | z_elem_c(:,:,2) = 0._wp |
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| 320 | z_elem_b(:,:,2) = 1._wp |
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| 321 | ! |
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| 322 | ELSE ! No wave induced mixing case |
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| 323 | ! ! en(1) = u*^2/C0^2 & l(1) = K*zs |
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| 324 | ! ! balance between the production and the dissipation terms |
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| 325 | en(:,:,1) = MAX( rc02r * ustars2(:,:), rn_emin ) |
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| 326 | z_elem_a(:,:,1) = en(:,:,1) |
---|
| 327 | z_elem_c(:,:,1) = 0._wp |
---|
| 328 | z_elem_b(:,:,1) = 1._wp |
---|
| 329 | ! |
---|
| 330 | ! one level below |
---|
| 331 | en(:,:,2) = MAX( rc02r * ustars2(:,:), rn_emin ) |
---|
| 332 | z_elem_a(:,:,2) = 0._wp |
---|
| 333 | z_elem_c(:,:,2) = 0._wp |
---|
| 334 | z_elem_b(:,:,2) = 1._wp |
---|
| 335 | ! |
---|
| 336 | ENDIF |
---|
| 337 | ! |
---|
[2048] | 338 | CASE ( 1 ) ! Neumann boundary condition on d(e)/dz |
---|
[2397] | 339 | ! |
---|
| 340 | IF (ln_crban) THEN ! Shear free case: d(e)/dz= Fw |
---|
| 341 | ! |
---|
| 342 | ! Dirichlet conditions at k=1 (Cosmetic) |
---|
| 343 | en(:,:,1) = MAX( rsbc_tke1 * ustars2(:,:), rn_emin ) |
---|
| 344 | z_elem_a(:,:,1) = en(:,:,1) |
---|
| 345 | z_elem_c(:,:,1) = 0._wp |
---|
| 346 | z_elem_b(:,:,1) = 1._wp |
---|
| 347 | ! at k=2, set de/dz=Fw |
---|
| 348 | z_elem_b(:,:,2) = z_elem_b(:,:,2) + z_elem_a(:,:,2) ! Remove z_elem_a from z_elem_b |
---|
| 349 | z_elem_a(:,:,2) = 0._wp |
---|
| 350 | zflxs(:,:) = rsbc_tke3 * ustars2(:,:)**1.5_wp * ( (zhsro(:,:)+fsdept(:,:,1) ) / zhsro(:,:) )**(1.5*ra_sf) |
---|
| 351 | en(:,:,2) = en(:,:,2) + zflxs(:,:) / fse3w(:,:,2) |
---|
| 352 | ! |
---|
| 353 | ELSE ! No wave induced mixing case: d(e)/dz=0. |
---|
| 354 | ! |
---|
| 355 | ! Dirichlet conditions at k=1 (Cosmetic) |
---|
| 356 | en(:,:,1) = MAX( rc02r * ustars2(:,:), rn_emin ) |
---|
| 357 | z_elem_a(:,:,1) = en(:,:,1) |
---|
| 358 | z_elem_c(:,:,1) = 0._wp |
---|
| 359 | z_elem_b(:,:,1) = 1._wp |
---|
| 360 | ! at k=2 set de/dz=0.: |
---|
| 361 | z_elem_b(:,:,2) = z_elem_b(:,:,2) + z_elem_a(:,:,2) ! Remove z_elem_a from z_elem_b |
---|
| 362 | z_elem_a(:,:,2) = 0._wp |
---|
| 363 | ! |
---|
| 364 | ENDIF |
---|
| 365 | ! |
---|
[2048] | 366 | END SELECT |
---|
| 367 | |
---|
| 368 | ! Bottom boundary condition on tke |
---|
| 369 | ! -------------------------------- |
---|
| 370 | ! |
---|
| 371 | SELECT CASE ( nn_tkebc_bot ) |
---|
| 372 | ! |
---|
| 373 | CASE ( 0 ) ! Dirichlet |
---|
[2397] | 374 | ! ! en(ibot) = u*^2 / Co2 and mxln(ibot) = rn_lmin |
---|
| 375 | ! ! Balance between the production and the dissipation terms |
---|
[2048] | 376 | !CDIR NOVERRCHK |
---|
[2397] | 377 | DO jj = 2, jpjm1 |
---|
[2048] | 378 | !CDIR NOVERRCHK |
---|
[2397] | 379 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2450] | 380 | ibot = mbkt(ji,jj) + 1 ! k bottom level of w-point |
---|
| 381 | ibotm1 = mbkt(ji,jj) ! k-1 bottom level of w-point but >=1 |
---|
[2397] | 382 | ! |
---|
| 383 | ! Bottom level Dirichlet condition: |
---|
| 384 | z_elem_a(ji,jj,ibot ) = 0._wp |
---|
| 385 | z_elem_c(ji,jj,ibot ) = 0._wp |
---|
| 386 | z_elem_b(ji,jj,ibot ) = 1._wp |
---|
| 387 | en(ji,jj,ibot ) = MAX( rc02r * ustarb2(ji,jj), rn_emin ) |
---|
| 388 | ! |
---|
| 389 | ! Just above last level, Dirichlet condition again |
---|
| 390 | z_elem_a(ji,jj,ibotm1) = 0._wp |
---|
| 391 | z_elem_c(ji,jj,ibotm1) = 0._wp |
---|
| 392 | z_elem_b(ji,jj,ibotm1) = 1._wp |
---|
| 393 | en(ji,jj,ibotm1) = MAX( rc02r * ustarb2(ji,jj), rn_emin ) |
---|
| 394 | END DO |
---|
[2048] | 395 | END DO |
---|
[2397] | 396 | ! |
---|
[2048] | 397 | CASE ( 1 ) ! Neumman boundary condition |
---|
[2397] | 398 | ! |
---|
[2048] | 399 | !CDIR NOVERRCHK |
---|
[2397] | 400 | DO jj = 2, jpjm1 |
---|
[2048] | 401 | !CDIR NOVERRCHK |
---|
[2397] | 402 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2450] | 403 | ibot = mbkt(ji,jj) + 1 ! k bottom level of w-point |
---|
| 404 | ibotm1 = mbkt(ji,jj) ! k-1 bottom level of w-point but >=1 |
---|
[2397] | 405 | ! |
---|
| 406 | ! Bottom level Dirichlet condition: |
---|
| 407 | z_elem_a(ji,jj,ibot) = 0._wp |
---|
| 408 | z_elem_c(ji,jj,ibot) = 0._wp |
---|
| 409 | z_elem_b(ji,jj,ibot) = 1._wp |
---|
| 410 | en(ji,jj,ibot) = MAX( rc02r * ustarb2(ji,jj), rn_emin ) |
---|
| 411 | ! |
---|
| 412 | ! Just above last level: Neumann condition |
---|
| 413 | 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 |
---|
| 414 | z_elem_c(ji,jj,ibotm1) = 0._wp |
---|
| 415 | END DO |
---|
[2048] | 416 | END DO |
---|
[2397] | 417 | ! |
---|
[2048] | 418 | END SELECT |
---|
| 419 | |
---|
| 420 | ! Matrix inversion (en prescribed at surface and the bottom) |
---|
| 421 | ! ---------------------------------------------------------- |
---|
| 422 | ! |
---|
| 423 | DO jk = 2, jpkm1 ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1 |
---|
| 424 | DO jj = 2, jpjm1 |
---|
| 425 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 426 | 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) |
---|
| 427 | END DO |
---|
| 428 | END DO |
---|
| 429 | END DO |
---|
| 430 | DO jk = 2, jpk ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1 |
---|
| 431 | DO jj = 2, jpjm1 |
---|
| 432 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 433 | 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) |
---|
| 434 | END DO |
---|
| 435 | END DO |
---|
| 436 | END DO |
---|
| 437 | DO jk = jpk-1, 2, -1 ! thrid recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk |
---|
| 438 | DO jj = 2, jpjm1 |
---|
| 439 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 440 | 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) |
---|
| 441 | END DO |
---|
| 442 | END DO |
---|
| 443 | END DO |
---|
[2397] | 444 | ! ! set the minimum value of tke |
---|
[2048] | 445 | en(:,:,:) = MAX( en(:,:,:), rn_emin ) |
---|
| 446 | |
---|
| 447 | !!----------------------------------------!! |
---|
| 448 | !! Solve prognostic equation for psi !! |
---|
| 449 | !!----------------------------------------!! |
---|
| 450 | |
---|
| 451 | ! Set psi to previous time step value |
---|
| 452 | ! |
---|
| 453 | SELECT CASE ( nn_clos ) |
---|
| 454 | ! |
---|
| 455 | CASE( 0 ) ! k-kl (Mellor-Yamada) |
---|
[2397] | 456 | DO jk = 2, jpkm1 |
---|
| 457 | DO jj = 2, jpjm1 |
---|
| 458 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[3294] | 459 | psi(ji,jj,jk) = eb(ji,jj,jk) * mxlb(ji,jj,jk) |
---|
[2397] | 460 | END DO |
---|
| 461 | END DO |
---|
| 462 | END DO |
---|
| 463 | ! |
---|
[2048] | 464 | CASE( 1 ) ! k-eps |
---|
[2397] | 465 | DO jk = 2, jpkm1 |
---|
| 466 | DO jj = 2, jpjm1 |
---|
| 467 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 468 | psi(ji,jj,jk) = eps(ji,jj,jk) |
---|
| 469 | END DO |
---|
| 470 | END DO |
---|
| 471 | END DO |
---|
| 472 | ! |
---|
[2048] | 473 | CASE( 2 ) ! k-w |
---|
[2397] | 474 | DO jk = 2, jpkm1 |
---|
| 475 | DO jj = 2, jpjm1 |
---|
| 476 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[3294] | 477 | psi(ji,jj,jk) = SQRT( eb(ji,jj,jk) ) / ( rc0 * mxlb(ji,jj,jk) ) |
---|
[2397] | 478 | END DO |
---|
| 479 | END DO |
---|
| 480 | END DO |
---|
| 481 | ! |
---|
| 482 | CASE( 3 ) ! generic |
---|
| 483 | DO jk = 2, jpkm1 |
---|
| 484 | DO jj = 2, jpjm1 |
---|
| 485 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[3294] | 486 | psi(ji,jj,jk) = rc02 * eb(ji,jj,jk) * mxlb(ji,jj,jk)**rnn |
---|
[2397] | 487 | END DO |
---|
| 488 | END DO |
---|
| 489 | END DO |
---|
| 490 | ! |
---|
[2048] | 491 | END SELECT |
---|
| 492 | ! |
---|
| 493 | ! Now gls (output in psi) |
---|
| 494 | ! ------------------------------- |
---|
| 495 | ! Resolution of a tridiagonal linear system by a "methode de chasse" |
---|
| 496 | ! computation from level 2 to jpkm1 (e(1) already computed and e(jpk)=0 ). |
---|
| 497 | ! z_elem_b : diagonal z_elem_c : upper diagonal z_elem_a : lower diagonal |
---|
| 498 | ! Warning : after this step, en : right hand side of the matrix |
---|
| 499 | |
---|
| 500 | DO jk = 2, jpkm1 |
---|
| 501 | DO jj = 2, jpjm1 |
---|
| 502 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 503 | ! |
---|
| 504 | ! psi / k |
---|
| 505 | zratio = psi(ji,jj,jk) / eb(ji,jj,jk) |
---|
| 506 | ! |
---|
| 507 | ! psi3+ : stable : B=-KhN²<0 => N²>0 if rn2>0 dir = 1 (stable) otherwise dir = 0 (unstable) |
---|
[2397] | 508 | dir = 0.5_wp + SIGN( 0.5_wp, rn2(ji,jj,jk) ) |
---|
[2048] | 509 | ! |
---|
[2397] | 510 | rpsi3 = dir * rpsi3m + ( 1._wp - dir ) * rpsi3p |
---|
[2048] | 511 | ! |
---|
| 512 | ! shear prod. - stratif. destruction |
---|
[2299] | 513 | prod = rpsi1 * zratio * shear(ji,jj,jk) |
---|
[2048] | 514 | ! |
---|
| 515 | ! stratif. destruction |
---|
[2397] | 516 | buoy = rpsi3 * zratio * (- avt(ji,jj,jk) * rn2(ji,jj,jk) ) |
---|
[2048] | 517 | ! |
---|
| 518 | ! shear prod. - stratif. destruction |
---|
[2299] | 519 | diss = rpsi2 * zratio * zwall(ji,jj,jk) * eps(ji,jj,jk) |
---|
[2048] | 520 | ! |
---|
[2397] | 521 | dir = 0.5_wp + SIGN( 0.5_wp, prod + buoy ) ! dir =1(=0) if shear(ji,jj,jk)+buoy >0(<0) |
---|
[2048] | 522 | ! |
---|
[2397] | 523 | zesh2 = dir * ( prod + buoy ) + (1._wp - dir ) * prod ! production term |
---|
| 524 | zdiss = dir * ( diss / psi(ji,jj,jk) ) + (1._wp - dir ) * (diss-buoy) / psi(ji,jj,jk) ! dissipation term |
---|
[2048] | 525 | ! |
---|
| 526 | ! building the matrix |
---|
[2299] | 527 | zcof = rfact_psi * zwall_psi(ji,jj,jk) * tmask(ji,jj,jk) |
---|
[2048] | 528 | ! lower diagonal |
---|
| 529 | z_elem_a(ji,jj,jk) = zcof * ( avm (ji,jj,jk ) + avm (ji,jj,jk-1) ) & |
---|
| 530 | & / ( fse3t(ji,jj,jk-1) * fse3w(ji,jj,jk ) ) |
---|
| 531 | ! upper diagonal |
---|
| 532 | z_elem_c(ji,jj,jk) = zcof * ( avm (ji,jj,jk+1) + avm (ji,jj,jk ) ) & |
---|
| 533 | & / ( fse3t(ji,jj,jk ) * fse3w(ji,jj,jk) ) |
---|
| 534 | ! diagonal |
---|
[2397] | 535 | z_elem_b(ji,jj,jk) = 1._wp - z_elem_a(ji,jj,jk) - z_elem_c(ji,jj,jk) & |
---|
| 536 | & + rdt * zdiss * tmask(ji,jj,jk) |
---|
[2048] | 537 | ! |
---|
| 538 | ! right hand side in psi |
---|
| 539 | psi(ji,jj,jk) = psi(ji,jj,jk) + rdt * zesh2 * tmask(ji,jj,jk) |
---|
| 540 | END DO |
---|
| 541 | END DO |
---|
| 542 | END DO |
---|
| 543 | ! |
---|
[2397] | 544 | z_elem_b(:,:,jpk) = 1._wp |
---|
[2048] | 545 | |
---|
| 546 | ! Surface boundary condition on psi |
---|
| 547 | ! --------------------------------- |
---|
| 548 | ! |
---|
| 549 | SELECT CASE ( nn_psibc_surf ) |
---|
| 550 | ! |
---|
| 551 | CASE ( 0 ) ! Dirichlet boundary conditions |
---|
[2397] | 552 | ! |
---|
| 553 | IF( ln_crban ) THEN ! Wave induced mixing case |
---|
| 554 | ! ! en(1) = q2(1) = 0.5 * (15.8 * Ccb)^(2/3) * u*^2 |
---|
| 555 | ! ! balance between the production and the dissipation terms including the wave effect |
---|
| 556 | zdep(:,:) = rl_sf * zhsro(:,:) |
---|
| 557 | psi (:,:,1) = rc0**rpp * en(:,:,1)**rmm * zdep(:,:)**rnn * tmask(:,:,1) |
---|
| 558 | z_elem_a(:,:,1) = psi(:,:,1) |
---|
| 559 | z_elem_c(:,:,1) = 0._wp |
---|
| 560 | z_elem_b(:,:,1) = 1._wp |
---|
| 561 | ! |
---|
| 562 | ! one level below |
---|
| 563 | zex1 = (rmm*ra_sf+rnn) |
---|
| 564 | zex2 = (rmm*ra_sf) |
---|
| 565 | zdep(:,:) = ( (zhsro(:,:) + fsdepw(:,:,2))**zex1 ) / zhsro(:,:)**zex2 |
---|
| 566 | psi (:,:,2) = rsbc_psi1 * ustars2(:,:)**rmm * zdep(:,:) * tmask(:,:,1) |
---|
| 567 | z_elem_a(:,:,2) = 0._wp |
---|
| 568 | z_elem_c(:,:,2) = 0._wp |
---|
| 569 | z_elem_b(:,:,2) = 1._wp |
---|
| 570 | ! |
---|
| 571 | ELSE ! No wave induced mixing case |
---|
| 572 | ! ! en(1) = u*^2/C0^2 & l(1) = K*zs |
---|
| 573 | ! ! balance between the production and the dissipation terms |
---|
| 574 | ! |
---|
| 575 | zdep(:,:) = vkarmn * zhsro(:,:) |
---|
| 576 | psi (:,:,1) = rc0**rpp * en(:,:,1)**rmm * zdep(:,:)**rnn * tmask(:,:,1) |
---|
| 577 | z_elem_a(:,:,1) = psi(:,:,1) |
---|
| 578 | z_elem_c(:,:,1) = 0._wp |
---|
| 579 | z_elem_b(:,:,1) = 1._wp |
---|
| 580 | ! |
---|
| 581 | ! one level below |
---|
| 582 | zdep(:,:) = vkarmn * ( zhsro(:,:) + fsdepw(:,:,2) ) |
---|
| 583 | psi (:,:,2) = rc0**rpp * en(:,:,1)**rmm * zdep(:,:)**rnn * tmask(:,:,1) |
---|
| 584 | z_elem_a(:,:,2) = 0._wp |
---|
| 585 | z_elem_c(:,:,2) = 0._wp |
---|
| 586 | z_elem_b(:,:,2) = 1. |
---|
| 587 | ! |
---|
| 588 | ENDIF |
---|
| 589 | ! |
---|
[2048] | 590 | CASE ( 1 ) ! Neumann boundary condition on d(psi)/dz |
---|
[2397] | 591 | ! |
---|
| 592 | IF( ln_crban ) THEN ! Wave induced mixing case |
---|
| 593 | ! |
---|
| 594 | zdep(:,:) = rl_sf * zhsro(:,:) |
---|
| 595 | psi (:,:,1) = rc0**rpp * en(:,:,1)**rmm * zdep(:,:)**rnn * tmask(:,:,1) |
---|
| 596 | z_elem_a(:,:,1) = psi(:,:,1) |
---|
| 597 | z_elem_c(:,:,1) = 0._wp |
---|
| 598 | z_elem_b(:,:,1) = 1._wp |
---|
| 599 | ! |
---|
| 600 | ! Neumann condition at k=2 |
---|
| 601 | z_elem_b(:,:,2) = z_elem_b(:,:,2) + z_elem_a(:,:,2) ! Remove z_elem_a from z_elem_b |
---|
| 602 | z_elem_a(:,:,2) = 0._wp |
---|
| 603 | ! |
---|
| 604 | ! Set psi vertical flux at the surface: |
---|
| 605 | zdep(:,:) = (zhsro(:,:) + fsdept(:,:,1))**(rmm*ra_sf+rnn-1._wp) / zhsro(:,:)**(rmm*ra_sf) |
---|
| 606 | zflxs(:,:) = rsbc_psi3 * ( zwall_psi(:,:,1)*avm(:,:,1) + zwall_psi(:,:,2)*avm(:,:,2) ) & |
---|
| 607 | & * en(:,:,1)**rmm * zdep |
---|
| 608 | psi(:,:,2) = psi(:,:,2) + zflxs(:,:) / fse3w(:,:,2) |
---|
| 609 | ! |
---|
[2048] | 610 | ELSE ! No wave induced mixing |
---|
[2397] | 611 | ! |
---|
| 612 | zdep(:,:) = vkarmn * zhsro(:,:) |
---|
| 613 | psi (:,:,1) = rc0**rpp * en(:,:,1)**rmm * zdep(:,:)**rnn * tmask(:,:,1) |
---|
| 614 | z_elem_a(:,:,1) = psi(:,:,1) |
---|
| 615 | z_elem_c(:,:,1) = 0._wp |
---|
| 616 | z_elem_b(:,:,1) = 1._wp |
---|
| 617 | ! |
---|
| 618 | ! Neumann condition at k=2 |
---|
| 619 | z_elem_b(:,:,2) = z_elem_b(:,:,2) + z_elem_a(:,:,2) ! Remove z_elem_a from z_elem_b |
---|
| 620 | z_elem_a(ji,jj,2) = 0._wp |
---|
| 621 | ! |
---|
| 622 | ! Set psi vertical flux at the surface: |
---|
| 623 | zdep(:,:) = zhsro(:,:) + fsdept(:,:,1) |
---|
| 624 | zflxs(:,:) = rsbc_psi2 * ( avm(:,:,1) + avm(:,:,2) ) * en(:,:,1)**rmm * zdep**(rnn-1._wp) |
---|
| 625 | psi(:,:,2) = psi(:,:,2) + zflxs(:,:) / fse3w(:,:,2) |
---|
| 626 | ! |
---|
| 627 | ENDIF |
---|
| 628 | ! |
---|
[2048] | 629 | END SELECT |
---|
| 630 | |
---|
| 631 | ! Bottom boundary condition on psi |
---|
| 632 | ! -------------------------------- |
---|
| 633 | ! |
---|
| 634 | SELECT CASE ( nn_psibc_bot ) |
---|
| 635 | ! |
---|
| 636 | CASE ( 0 ) ! Dirichlet |
---|
[2497] | 637 | ! ! en(ibot) = u*^2 / Co2 and mxln(ibot) = vkarmn * hbro |
---|
[2397] | 638 | ! ! Balance between the production and the dissipation terms |
---|
[2048] | 639 | !CDIR NOVERRCHK |
---|
[2397] | 640 | DO jj = 2, jpjm1 |
---|
[2048] | 641 | !CDIR NOVERRCHK |
---|
[2397] | 642 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2450] | 643 | ibot = mbkt(ji,jj) + 1 ! k bottom level of w-point |
---|
| 644 | ibotm1 = mbkt(ji,jj) ! k-1 bottom level of w-point but >=1 |
---|
[2497] | 645 | zdep(ji,jj) = vkarmn * hbro |
---|
[2397] | 646 | psi (ji,jj,ibot) = rc0**rpp * en(ji,jj,ibot)**rmm * zdep(ji,jj)**rnn |
---|
| 647 | z_elem_a(ji,jj,ibot) = 0._wp |
---|
| 648 | z_elem_c(ji,jj,ibot) = 0._wp |
---|
| 649 | z_elem_b(ji,jj,ibot) = 1._wp |
---|
| 650 | ! |
---|
| 651 | ! Just above last level, Dirichlet condition again (GOTM like) |
---|
[2497] | 652 | zdep(ji,jj) = vkarmn * ( hbro + fse3t(ji,jj,ibotm1) ) |
---|
[2397] | 653 | psi (ji,jj,ibotm1) = rc0**rpp * en(ji,jj,ibot )**rmm * zdep(ji,jj)**rnn |
---|
| 654 | z_elem_a(ji,jj,ibotm1) = 0._wp |
---|
| 655 | z_elem_c(ji,jj,ibotm1) = 0._wp |
---|
| 656 | z_elem_b(ji,jj,ibotm1) = 1._wp |
---|
| 657 | END DO |
---|
[2048] | 658 | END DO |
---|
[2397] | 659 | ! |
---|
[2048] | 660 | CASE ( 1 ) ! Neumman boundary condition |
---|
[2397] | 661 | ! |
---|
[2048] | 662 | !CDIR NOVERRCHK |
---|
[2397] | 663 | DO jj = 2, jpjm1 |
---|
[2048] | 664 | !CDIR NOVERRCHK |
---|
[2397] | 665 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2450] | 666 | ibot = mbkt(ji,jj) + 1 ! k bottom level of w-point |
---|
| 667 | ibotm1 = mbkt(ji,jj) ! k-1 bottom level of w-point but >=1 |
---|
[2397] | 668 | ! |
---|
| 669 | ! Bottom level Dirichlet condition: |
---|
[2497] | 670 | zdep(ji,jj) = vkarmn * hbro |
---|
[2397] | 671 | psi (ji,jj,ibot) = rc0**rpp * en(ji,jj,ibot)**rmm * zdep(ji,jj)**rnn |
---|
| 672 | ! |
---|
| 673 | z_elem_a(ji,jj,ibot) = 0._wp |
---|
| 674 | z_elem_c(ji,jj,ibot) = 0._wp |
---|
| 675 | z_elem_b(ji,jj,ibot) = 1._wp |
---|
| 676 | ! |
---|
| 677 | ! Just above last level: Neumann condition with flux injection |
---|
| 678 | 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 |
---|
| 679 | z_elem_c(ji,jj,ibotm1) = 0. |
---|
| 680 | ! |
---|
| 681 | ! Set psi vertical flux at the bottom: |
---|
[2497] | 682 | zdep(ji,jj) = hbro + 0.5_wp*fse3t(ji,jj,ibotm1) |
---|
[2397] | 683 | zflxb = rsbc_psi2 * ( avm(ji,jj,ibot) + avm(ji,jj,ibotm1) ) & |
---|
| 684 | & * (0.5_wp*(en(ji,jj,ibot)+en(ji,jj,ibotm1)))**rmm * zdep(ji,jj)**(rnn-1._wp) |
---|
| 685 | psi(ji,jj,ibotm1) = psi(ji,jj,ibotm1) + zflxb / fse3w(ji,jj,ibotm1) |
---|
| 686 | END DO |
---|
[2048] | 687 | END DO |
---|
[2397] | 688 | ! |
---|
[2048] | 689 | END SELECT |
---|
| 690 | |
---|
| 691 | ! Matrix inversion |
---|
| 692 | ! ---------------- |
---|
| 693 | ! |
---|
| 694 | DO jk = 2, jpkm1 ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1 |
---|
| 695 | DO jj = 2, jpjm1 |
---|
| 696 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 697 | 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) |
---|
| 698 | END DO |
---|
| 699 | END DO |
---|
| 700 | END DO |
---|
| 701 | DO jk = 2, jpk ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1 |
---|
| 702 | DO jj = 2, jpjm1 |
---|
| 703 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 704 | 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) |
---|
| 705 | END DO |
---|
| 706 | END DO |
---|
| 707 | END DO |
---|
| 708 | DO jk = jpk-1, 2, -1 ! Third recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk |
---|
| 709 | DO jj = 2, jpjm1 |
---|
| 710 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 711 | 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) |
---|
| 712 | END DO |
---|
| 713 | END DO |
---|
| 714 | END DO |
---|
| 715 | |
---|
| 716 | ! Set dissipation |
---|
| 717 | !---------------- |
---|
| 718 | |
---|
| 719 | SELECT CASE ( nn_clos ) |
---|
| 720 | ! |
---|
| 721 | CASE( 0 ) ! k-kl (Mellor-Yamada) |
---|
[2397] | 722 | DO jk = 1, jpkm1 |
---|
| 723 | DO jj = 2, jpjm1 |
---|
| 724 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 725 | eps(ji,jj,jk) = rc03 * en(ji,jj,jk) * en(ji,jj,jk) * SQRT( en(ji,jj,jk) ) / psi(ji,jj,jk) |
---|
| 726 | END DO |
---|
| 727 | END DO |
---|
| 728 | END DO |
---|
| 729 | ! |
---|
[2048] | 730 | CASE( 1 ) ! k-eps |
---|
[2397] | 731 | DO jk = 1, jpkm1 |
---|
| 732 | DO jj = 2, jpjm1 |
---|
| 733 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 734 | eps(ji,jj,jk) = psi(ji,jj,jk) |
---|
| 735 | END DO |
---|
| 736 | END DO |
---|
| 737 | END DO |
---|
| 738 | ! |
---|
[2048] | 739 | CASE( 2 ) ! k-w |
---|
[2397] | 740 | DO jk = 1, jpkm1 |
---|
| 741 | DO jj = 2, jpjm1 |
---|
| 742 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 743 | eps(ji,jj,jk) = rc04 * en(ji,jj,jk) * psi(ji,jj,jk) |
---|
| 744 | END DO |
---|
| 745 | END DO |
---|
| 746 | END DO |
---|
| 747 | ! |
---|
| 748 | CASE( 3 ) ! generic |
---|
| 749 | zcoef = rc0**( 3._wp + rpp/rnn ) |
---|
| 750 | zex1 = ( 1.5_wp + rmm/rnn ) |
---|
| 751 | zex2 = -1._wp / rnn |
---|
| 752 | DO jk = 1, jpkm1 |
---|
| 753 | DO jj = 2, jpjm1 |
---|
| 754 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 755 | eps(ji,jj,jk) = zcoef * en(ji,jj,jk)**zex1 * psi(ji,jj,jk)**zex2 |
---|
| 756 | END DO |
---|
| 757 | END DO |
---|
| 758 | END DO |
---|
| 759 | ! |
---|
[2048] | 760 | END SELECT |
---|
| 761 | |
---|
| 762 | ! Limit dissipation rate under stable stratification |
---|
| 763 | ! -------------------------------------------------- |
---|
| 764 | DO jk = 1, jpkm1 ! Note that this set boundary conditions on mxln at the same time |
---|
| 765 | DO jj = 2, jpjm1 |
---|
| 766 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 767 | ! limitation |
---|
| 768 | eps(ji,jj,jk) = MAX( eps(ji,jj,jk), rn_epsmin ) |
---|
[2397] | 769 | mxln(ji,jj,jk) = rc03 * en(ji,jj,jk) * SQRT( en(ji,jj,jk) ) / eps(ji,jj,jk) |
---|
[2048] | 770 | ! Galperin criterium (NOTE : Not required if the proper value of C3 in stable cases is calculated) |
---|
| 771 | zrn2 = MAX( rn2(ji,jj,jk), rsmall ) |
---|
[2397] | 772 | mxln(ji,jj,jk) = MIN( rn_clim_galp * SQRT( 2._wp * en(ji,jj,jk) / zrn2 ), mxln(ji,jj,jk) ) |
---|
[2048] | 773 | END DO |
---|
| 774 | END DO |
---|
| 775 | END DO |
---|
| 776 | |
---|
| 777 | ! |
---|
| 778 | ! Stability function and vertical viscosity and diffusivity |
---|
| 779 | ! --------------------------------------------------------- |
---|
| 780 | ! |
---|
| 781 | SELECT CASE ( nn_stab_func ) |
---|
| 782 | ! |
---|
| 783 | CASE ( 0 , 1 ) ! Galperin or Kantha-Clayson stability functions |
---|
[2397] | 784 | DO jk = 2, jpkm1 |
---|
| 785 | DO jj = 2, jpjm1 |
---|
| 786 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 787 | ! zcof = l²/q² |
---|
| 788 | zcof = mxlb(ji,jj,jk) * mxlb(ji,jj,jk) / ( 2._wp*eb(ji,jj,jk) ) |
---|
| 789 | ! Gh = -N²l²/q² |
---|
| 790 | gh = - rn2(ji,jj,jk) * zcof |
---|
| 791 | gh = MIN( gh, rgh0 ) |
---|
| 792 | gh = MAX( gh, rghmin ) |
---|
| 793 | ! Stability functions from Kantha and Clayson (if C2=C3=0 => Galperin) |
---|
| 794 | sh = ra2*( 1._wp-6._wp*ra1/rb1 ) / ( 1.-3.*ra2*gh*(6.*ra1+rb2*( 1._wp-rc3 ) ) ) |
---|
| 795 | 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) |
---|
| 796 | ! |
---|
| 797 | ! Store stability function in avmu and avmv |
---|
| 798 | avmu(ji,jj,jk) = rc_diff * sh * tmask(ji,jj,jk) |
---|
| 799 | avmv(ji,jj,jk) = rc_diff * sm * tmask(ji,jj,jk) |
---|
| 800 | END DO |
---|
[2048] | 801 | END DO |
---|
| 802 | END DO |
---|
[2397] | 803 | ! |
---|
[2048] | 804 | CASE ( 2, 3 ) ! Canuto stability functions |
---|
[2397] | 805 | DO jk = 2, jpkm1 |
---|
| 806 | DO jj = 2, jpjm1 |
---|
| 807 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 808 | ! zcof = l²/q² |
---|
| 809 | zcof = mxlb(ji,jj,jk)*mxlb(ji,jj,jk) / ( 2._wp * eb(ji,jj,jk) ) |
---|
| 810 | ! Gh = -N²l²/q² |
---|
| 811 | gh = - rn2(ji,jj,jk) * zcof |
---|
| 812 | gh = MIN( gh, rgh0 ) |
---|
| 813 | gh = MAX( gh, rghmin ) |
---|
| 814 | gh = gh * rf6 |
---|
| 815 | ! Gm = M²l²/q² Shear number |
---|
| 816 | shr = shear(ji,jj,jk) / MAX( avm(ji,jj,jk), rsmall ) |
---|
| 817 | gm = MAX( shr * zcof , 1.e-10 ) |
---|
| 818 | gm = gm * rf6 |
---|
| 819 | gm = MIN ( (rd0 - rd1*gh + rd3*gh*gh) / (rd2-rd4*gh) , gm ) |
---|
| 820 | ! Stability functions from Canuto |
---|
| 821 | rcff = rd0 - rd1*gh +rd2*gm + rd3*gh*gh - rd4*gh*gm + rd5*gm*gm |
---|
| 822 | sm = (rs0 - rs1*gh + rs2*gm) / rcff |
---|
| 823 | sh = (rs4 - rs5*gh + rs6*gm) / rcff |
---|
| 824 | ! |
---|
| 825 | ! Store stability function in avmu and avmv |
---|
| 826 | avmu(ji,jj,jk) = rc_diff * sh * tmask(ji,jj,jk) |
---|
| 827 | avmv(ji,jj,jk) = rc_diff * sm * tmask(ji,jj,jk) |
---|
| 828 | END DO |
---|
[2048] | 829 | END DO |
---|
| 830 | END DO |
---|
[2397] | 831 | ! |
---|
[2048] | 832 | END SELECT |
---|
| 833 | |
---|
| 834 | ! Boundary conditions on stability functions for momentum (Neumann): |
---|
| 835 | ! Lines below are useless if GOTM style Dirichlet conditions are used |
---|
[2397] | 836 | zcoef = rcm_sf / SQRT( 2._wp ) |
---|
[2048] | 837 | DO jj = 2, jpjm1 |
---|
| 838 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2397] | 839 | avmv(ji,jj,1) = zcoef |
---|
[2048] | 840 | END DO |
---|
| 841 | END DO |
---|
[2397] | 842 | zcoef = rc0 / SQRT( 2._wp ) |
---|
[2048] | 843 | DO jj = 2, jpjm1 |
---|
| 844 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2450] | 845 | avmv(ji,jj,mbkt(ji,jj)+1) = zcoef |
---|
[2048] | 846 | END DO |
---|
| 847 | END DO |
---|
| 848 | |
---|
| 849 | ! Compute diffusivities/viscosities |
---|
| 850 | ! The computation below could be restrained to jk=2 to jpkm1 if GOTM style Dirichlet conditions are used |
---|
| 851 | DO jk = 1, jpk |
---|
| 852 | DO jj = 2, jpjm1 |
---|
| 853 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2397] | 854 | zsqen = SQRT( 2._wp * en(ji,jj,jk) ) * mxln(ji,jj,jk) |
---|
| 855 | zav = zsqen * avmu(ji,jj,jk) |
---|
| 856 | avt(ji,jj,jk) = MAX( zav, avtb(jk) )*tmask(ji,jj,jk) ! apply mask for zdfmxl routine |
---|
| 857 | zav = zsqen * avmv(ji,jj,jk) |
---|
| 858 | avm(ji,jj,jk) = MAX( zav, avmb(jk) ) ! Note that avm is not masked at the surface and the bottom |
---|
[2048] | 859 | END DO |
---|
| 860 | END DO |
---|
| 861 | END DO |
---|
| 862 | ! |
---|
| 863 | ! Lateral boundary conditions (sign unchanged) |
---|
[2397] | 864 | avt(:,:,1) = 0._wp |
---|
[2048] | 865 | CALL lbc_lnk( avm, 'W', 1. ) ; CALL lbc_lnk( avt, 'W', 1. ) |
---|
| 866 | |
---|
| 867 | DO jk = 2, jpkm1 !* vertical eddy viscosity at u- and v-points |
---|
| 868 | DO jj = 2, jpjm1 |
---|
| 869 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2397] | 870 | avmu(ji,jj,jk) = 0.5 * ( avm(ji,jj,jk) + avm(ji+1,jj ,jk) ) * umask(ji,jj,jk) |
---|
| 871 | avmv(ji,jj,jk) = 0.5 * ( avm(ji,jj,jk) + avm(ji ,jj+1,jk) ) * vmask(ji,jj,jk) |
---|
[2048] | 872 | END DO |
---|
| 873 | END DO |
---|
| 874 | END DO |
---|
[2397] | 875 | avmu(:,:,1) = 0._wp ; avmv(:,:,1) = 0._wp ! set surface to zero |
---|
| 876 | CALL lbc_lnk( avmu, 'U', 1. ) ; CALL lbc_lnk( avmv, 'V', 1. ) ! Lateral boundary conditions |
---|
[2048] | 877 | |
---|
| 878 | IF(ln_ctl) THEN |
---|
| 879 | CALL prt_ctl( tab3d_1=en , clinfo1=' gls - e: ', tab3d_2=avt, clinfo2=' t: ', ovlap=1, kdim=jpk) |
---|
| 880 | CALL prt_ctl( tab3d_1=avmu, clinfo1=' gls - u: ', mask1=umask, & |
---|
| 881 | & tab3d_2=avmv, clinfo2= ' v: ', mask2=vmask, ovlap=1, kdim=jpk ) |
---|
| 882 | ENDIF |
---|
| 883 | ! |
---|
[3294] | 884 | CALL wrk_dealloc( jpi,jpj, zdep, zflxs, zhsro ) |
---|
| 885 | CALL wrk_dealloc( jpi,jpj,jpk, eb, mxlb, shear, eps, zwall_psi, z_elem_a, z_elem_b, z_elem_c, psi ) |
---|
[2715] | 886 | ! |
---|
[3294] | 887 | IF( nn_timing == 1 ) CALL timing_stop('zdf_gls') |
---|
| 888 | ! |
---|
| 889 | ! |
---|
[2048] | 890 | END SUBROUTINE zdf_gls |
---|
| 891 | |
---|
[2329] | 892 | |
---|
[2048] | 893 | SUBROUTINE zdf_gls_init |
---|
| 894 | !!---------------------------------------------------------------------- |
---|
| 895 | !! *** ROUTINE zdf_gls_init *** |
---|
| 896 | !! |
---|
| 897 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
---|
| 898 | !! viscosity when using a gls turbulent closure scheme |
---|
| 899 | !! |
---|
| 900 | !! ** Method : Read the namzdf_gls namelist and check the parameters |
---|
| 901 | !! called at the first timestep (nit000) |
---|
| 902 | !! |
---|
| 903 | !! ** input : Namlist namzdf_gls |
---|
| 904 | !! |
---|
| 905 | !! ** Action : Increase by 1 the nstop flag is setting problem encounter |
---|
| 906 | !! |
---|
| 907 | !!---------------------------------------------------------------------- |
---|
[2397] | 908 | USE dynzdf_exp |
---|
| 909 | USE trazdf_exp |
---|
| 910 | ! |
---|
[2329] | 911 | INTEGER :: jk ! dummy loop indices |
---|
| 912 | REAL(wp):: zcr ! local scalar |
---|
[2048] | 913 | !! |
---|
| 914 | NAMELIST/namzdf_gls/rn_emin, rn_epsmin, ln_length_lim, & |
---|
[2293] | 915 | & rn_clim_galp, ln_crban, ln_sigpsi, & |
---|
| 916 | & rn_crban, rn_charn, & |
---|
| 917 | & nn_tkebc_surf, nn_tkebc_bot, & |
---|
| 918 | & nn_psibc_surf, nn_psibc_bot, & |
---|
[2048] | 919 | & nn_stab_func, nn_clos |
---|
| 920 | !!---------------------------------------------------------- |
---|
[3294] | 921 | ! |
---|
| 922 | IF( nn_timing == 1 ) CALL timing_start('zdf_gls_init') |
---|
| 923 | ! |
---|
[2715] | 924 | REWIND( numnam ) !* Read Namelist namzdf_gls |
---|
| 925 | READ ( numnam, namzdf_gls ) |
---|
[2048] | 926 | |
---|
[2397] | 927 | IF(lwp) THEN !* Control print |
---|
[2048] | 928 | WRITE(numout,*) |
---|
| 929 | WRITE(numout,*) 'zdf_gls_init : gls turbulent closure scheme' |
---|
| 930 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
[2397] | 931 | WRITE(numout,*) ' Namelist namzdf_gls : set gls mixing parameters' |
---|
| 932 | WRITE(numout,*) ' minimum value of en rn_emin = ', rn_emin |
---|
| 933 | WRITE(numout,*) ' minimum value of eps rn_epsmin = ', rn_epsmin |
---|
| 934 | WRITE(numout,*) ' Limit dissipation rate under stable stratif. ln_length_lim = ', ln_length_lim |
---|
| 935 | WRITE(numout,*) ' Galperin limit (Standard: 0.53, Holt: 0.26) rn_clim_galp = ', rn_clim_galp |
---|
| 936 | WRITE(numout,*) ' TKE Surface boundary condition nn_tkebc_surf = ', nn_tkebc_surf |
---|
| 937 | WRITE(numout,*) ' TKE Bottom boundary condition nn_tkebc_bot = ', nn_tkebc_bot |
---|
| 938 | WRITE(numout,*) ' PSI Surface boundary condition nn_psibc_surf = ', nn_psibc_surf |
---|
| 939 | WRITE(numout,*) ' PSI Bottom boundary condition nn_psibc_bot = ', nn_psibc_bot |
---|
| 940 | WRITE(numout,*) ' Craig and Banner scheme ln_crban = ', ln_crban |
---|
| 941 | WRITE(numout,*) ' Modify psi Schmidt number (wb case) ln_sigpsi = ', ln_sigpsi |
---|
| 942 | WRITE(numout,*) ' Craig and Banner coefficient rn_crban = ', rn_crban |
---|
| 943 | WRITE(numout,*) ' Charnock coefficient rn_charn = ', rn_charn |
---|
| 944 | WRITE(numout,*) ' Stability functions nn_stab_func = ', nn_stab_func |
---|
| 945 | WRITE(numout,*) ' Type of closure nn_clos = ', nn_clos |
---|
[2497] | 946 | WRITE(numout,*) ' Hard coded parameters' |
---|
| 947 | WRITE(numout,*) ' Surface roughness (m) hsro = ', hsro |
---|
| 948 | WRITE(numout,*) ' Bottom roughness (m) hbro = ', hbro |
---|
[2048] | 949 | ENDIF |
---|
| 950 | |
---|
[2715] | 951 | ! !* allocate gls arrays |
---|
| 952 | IF( zdf_gls_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_gls_init : unable to allocate arrays' ) |
---|
| 953 | |
---|
[2397] | 954 | ! !* Check of some namelist values |
---|
[2048] | 955 | IF( nn_tkebc_surf < 0 .OR. nn_tkebc_surf > 1 ) CALL ctl_stop( 'bad flag: nn_tkebc_surf is 0 or 1' ) |
---|
| 956 | IF( nn_psibc_surf < 0 .OR. nn_psibc_surf > 1 ) CALL ctl_stop( 'bad flag: nn_psibc_surf is 0 or 1' ) |
---|
[2397] | 957 | IF( nn_tkebc_bot < 0 .OR. nn_tkebc_bot > 1 ) CALL ctl_stop( 'bad flag: nn_tkebc_bot is 0 or 1' ) |
---|
| 958 | IF( nn_psibc_bot < 0 .OR. nn_psibc_bot > 1 ) CALL ctl_stop( 'bad flag: nn_psibc_bot is 0 or 1' ) |
---|
| 959 | IF( nn_stab_func < 0 .OR. nn_stab_func > 3 ) CALL ctl_stop( 'bad flag: nn_stab_func is 0, 1, 2 and 3' ) |
---|
| 960 | IF( nn_clos < 0 .OR. nn_clos > 3 ) CALL ctl_stop( 'bad flag: nn_clos is 0, 1, 2 or 3' ) |
---|
[2048] | 961 | |
---|
[2715] | 962 | SELECT CASE ( nn_clos ) !* set the parameters for the chosen closure |
---|
[2048] | 963 | ! |
---|
[2715] | 964 | CASE( 0 ) ! k-kl (Mellor-Yamada) |
---|
[2397] | 965 | ! |
---|
| 966 | IF(lwp) WRITE(numout,*) 'The choosen closure is k-kl closed to the classical Mellor-Yamada' |
---|
| 967 | rpp = 0._wp |
---|
| 968 | rmm = 1._wp |
---|
| 969 | rnn = 1._wp |
---|
| 970 | rsc_tke = 1.96_wp |
---|
| 971 | rsc_psi = 1.96_wp |
---|
| 972 | rpsi1 = 0.9_wp |
---|
| 973 | rpsi3p = 1._wp |
---|
| 974 | rpsi2 = 0.5_wp |
---|
| 975 | ! |
---|
[2048] | 976 | SELECT CASE ( nn_stab_func ) |
---|
[2397] | 977 | CASE( 0, 1 ) ; rpsi3m = 2.53_wp ! G88 or KC stability functions |
---|
| 978 | CASE( 2 ) ; rpsi3m = 2.38_wp ! Canuto A stability functions |
---|
| 979 | CASE( 3 ) ; rpsi3m = 2.38 ! Canuto B stability functions (caution : constant not identified) |
---|
| 980 | END SELECT |
---|
[2048] | 981 | ! |
---|
[2715] | 982 | CASE( 1 ) ! k-eps |
---|
[2397] | 983 | ! |
---|
| 984 | IF(lwp) WRITE(numout,*) 'The choosen closure is k-eps' |
---|
| 985 | rpp = 3._wp |
---|
| 986 | rmm = 1.5_wp |
---|
| 987 | rnn = -1._wp |
---|
| 988 | rsc_tke = 1._wp |
---|
| 989 | rsc_psi = 1.3_wp ! Schmidt number for psi |
---|
| 990 | rpsi1 = 1.44_wp |
---|
| 991 | rpsi3p = 1._wp |
---|
| 992 | rpsi2 = 1.92_wp |
---|
| 993 | ! |
---|
| 994 | SELECT CASE ( nn_stab_func ) |
---|
| 995 | CASE( 0, 1 ) ; rpsi3m = -0.52_wp ! G88 or KC stability functions |
---|
| 996 | CASE( 2 ) ; rpsi3m = -0.629_wp ! Canuto A stability functions |
---|
| 997 | CASE( 3 ) ; rpsi3m = -0.566 ! Canuto B stability functions |
---|
[2048] | 998 | END SELECT |
---|
[2397] | 999 | ! |
---|
[2715] | 1000 | CASE( 2 ) ! k-omega |
---|
[2397] | 1001 | ! |
---|
| 1002 | IF(lwp) WRITE(numout,*) 'The choosen closure is k-omega' |
---|
| 1003 | rpp = -1._wp |
---|
| 1004 | rmm = 0.5_wp |
---|
| 1005 | rnn = -1._wp |
---|
| 1006 | rsc_tke = 2._wp |
---|
| 1007 | rsc_psi = 2._wp |
---|
| 1008 | rpsi1 = 0.555_wp |
---|
| 1009 | rpsi3p = 1._wp |
---|
| 1010 | rpsi2 = 0.833_wp |
---|
| 1011 | ! |
---|
| 1012 | SELECT CASE ( nn_stab_func ) |
---|
| 1013 | CASE( 0, 1 ) ; rpsi3m = -0.58_wp ! G88 or KC stability functions |
---|
| 1014 | CASE( 2 ) ; rpsi3m = -0.64_wp ! Canuto A stability functions |
---|
| 1015 | CASE( 3 ) ; rpsi3m = -0.64_wp ! Canuto B stability functions caution : constant not identified) |
---|
| 1016 | END SELECT |
---|
| 1017 | ! |
---|
[2715] | 1018 | CASE( 3 ) ! generic |
---|
[2397] | 1019 | ! |
---|
| 1020 | IF(lwp) WRITE(numout,*) 'The choosen closure is generic' |
---|
| 1021 | rpp = 2._wp |
---|
| 1022 | rmm = 1._wp |
---|
| 1023 | rnn = -0.67_wp |
---|
| 1024 | rsc_tke = 0.8_wp |
---|
| 1025 | rsc_psi = 1.07_wp |
---|
| 1026 | rpsi1 = 1._wp |
---|
| 1027 | rpsi3p = 1._wp |
---|
| 1028 | rpsi2 = 1.22_wp |
---|
| 1029 | ! |
---|
| 1030 | SELECT CASE ( nn_stab_func ) |
---|
| 1031 | CASE( 0, 1 ) ; rpsi3m = 0.1_wp ! G88 or KC stability functions |
---|
| 1032 | CASE( 2 ) ; rpsi3m = 0.05_wp ! Canuto A stability functions |
---|
| 1033 | CASE( 3 ) ; rpsi3m = 0.05_wp ! Canuto B stability functions caution : constant not identified) |
---|
| 1034 | END SELECT |
---|
| 1035 | ! |
---|
[2048] | 1036 | END SELECT |
---|
| 1037 | |
---|
| 1038 | ! |
---|
[2715] | 1039 | SELECT CASE ( nn_stab_func ) !* set the parameters of the stability functions |
---|
[2048] | 1040 | ! |
---|
[2715] | 1041 | CASE ( 0 ) ! Galperin stability functions |
---|
[2397] | 1042 | ! |
---|
| 1043 | IF(lwp) WRITE(numout,*) 'Stability functions from Galperin' |
---|
| 1044 | rc2 = 0._wp |
---|
| 1045 | rc3 = 0._wp |
---|
| 1046 | rc_diff = 1._wp |
---|
| 1047 | rc0 = 0.5544_wp |
---|
| 1048 | rcm_sf = 0.9884_wp |
---|
| 1049 | rghmin = -0.28_wp |
---|
| 1050 | rgh0 = 0.0233_wp |
---|
| 1051 | rghcri = 0.02_wp |
---|
| 1052 | ! |
---|
[2715] | 1053 | CASE ( 1 ) ! Kantha-Clayson stability functions |
---|
[2397] | 1054 | ! |
---|
| 1055 | IF(lwp) WRITE(numout,*) 'Stability functions from Kantha-Clayson' |
---|
| 1056 | rc2 = 0.7_wp |
---|
| 1057 | rc3 = 0.2_wp |
---|
| 1058 | rc_diff = 1._wp |
---|
| 1059 | rc0 = 0.5544_wp |
---|
| 1060 | rcm_sf = 0.9884_wp |
---|
| 1061 | rghmin = -0.28_wp |
---|
| 1062 | rgh0 = 0.0233_wp |
---|
| 1063 | rghcri = 0.02_wp |
---|
| 1064 | ! |
---|
[2715] | 1065 | CASE ( 2 ) ! Canuto A stability functions |
---|
[2397] | 1066 | ! |
---|
| 1067 | IF(lwp) WRITE(numout,*) 'Stability functions from Canuto A' |
---|
| 1068 | rs0 = 1.5_wp * rl1 * rl5*rl5 |
---|
| 1069 | rs1 = -rl4*(rl6+rl7) + 2._wp*rl4*rl5*(rl1-(1._wp/3._wp)*rl2-rl3) + 1.5_wp*rl1*rl5*rl8 |
---|
| 1070 | rs2 = -(3._wp/8._wp) * rl1*(rl6*rl6-rl7*rl7) |
---|
| 1071 | rs4 = 2._wp * rl5 |
---|
| 1072 | rs5 = 2._wp * rl4 |
---|
| 1073 | rs6 = (2._wp/3._wp) * rl5 * ( 3._wp*rl3*rl3 - rl2*rl2 ) - 0.5_wp * rl5*rl1 * (3._wp*rl3-rl2) & |
---|
| 1074 | & + 0.75_wp * rl1 * ( rl6 - rl7 ) |
---|
| 1075 | rd0 = 3._wp * rl5*rl5 |
---|
| 1076 | rd1 = rl5 * ( 7._wp*rl4 + 3._wp*rl8 ) |
---|
| 1077 | rd2 = rl5*rl5 * ( 3._wp*rl3*rl3 - rl2*rl2 ) - 0.75_wp*(rl6*rl6 - rl7*rl7 ) |
---|
| 1078 | rd3 = rl4 * ( 4._wp*rl4 + 3._wp*rl8) |
---|
| 1079 | rd4 = rl4 * ( rl2 * rl6 - 3._wp*rl3*rl7 - rl5*(rl2*rl2 - rl3*rl3 ) ) + rl5*rl8 * ( 3._wp*rl3*rl3 - rl2*rl2 ) |
---|
| 1080 | rd5 = 0.25_wp * ( rl2*rl2 - 3._wp *rl3*rl3 ) * ( rl6*rl6 - rl7*rl7 ) |
---|
| 1081 | rc0 = 0.5268_wp |
---|
| 1082 | rf6 = 8._wp / (rc0**6._wp) |
---|
| 1083 | rc_diff = SQRT(2._wp) / (rc0**3._wp) |
---|
| 1084 | rcm_sf = 0.7310_wp |
---|
| 1085 | rghmin = -0.28_wp |
---|
| 1086 | rgh0 = 0.0329_wp |
---|
| 1087 | rghcri = 0.03_wp |
---|
| 1088 | ! |
---|
[2715] | 1089 | CASE ( 3 ) ! Canuto B stability functions |
---|
[2397] | 1090 | ! |
---|
| 1091 | IF(lwp) WRITE(numout,*) 'Stability functions from Canuto B' |
---|
| 1092 | rs0 = 1.5_wp * rm1 * rm5*rm5 |
---|
| 1093 | rs1 = -rm4 * (rm6+rm7) + 2._wp * rm4*rm5*(rm1-(1._wp/3._wp)*rm2-rm3) + 1.5_wp * rm1*rm5*rm8 |
---|
| 1094 | rs2 = -(3._wp/8._wp) * rm1 * (rm6*rm6-rm7*rm7 ) |
---|
| 1095 | rs4 = 2._wp * rm5 |
---|
| 1096 | rs5 = 2._wp * rm4 |
---|
| 1097 | 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) |
---|
| 1098 | rd0 = 3._wp * rm5*rm5 |
---|
| 1099 | rd1 = rm5 * (7._wp*rm4 + 3._wp*rm8) |
---|
| 1100 | rd2 = rm5*rm5 * (3._wp*rm3*rm3 - rm2*rm2) - 0.75_wp * (rm6*rm6 - rm7*rm7) |
---|
| 1101 | rd3 = rm4 * ( 4._wp*rm4 + 3._wp*rm8 ) |
---|
| 1102 | rd4 = rm4 * ( rm2*rm6 -3._wp*rm3*rm7 - rm5*(rm2*rm2 - rm3*rm3) ) + rm5 * rm8 * ( 3._wp*rm3*rm3 - rm2*rm2 ) |
---|
| 1103 | rd5 = 0.25_wp * ( rm2*rm2 - 3._wp*rm3*rm3 ) * ( rm6*rm6 - rm7*rm7 ) |
---|
| 1104 | rc0 = 0.5268_wp !! rc0 = 0.5540_wp (Warner ...) to verify ! |
---|
| 1105 | rf6 = 8._wp / ( rc0**6._wp ) |
---|
| 1106 | rc_diff = SQRT(2._wp)/(rc0**3.) |
---|
| 1107 | rcm_sf = 0.7470_wp |
---|
| 1108 | rghmin = -0.28_wp |
---|
| 1109 | rgh0 = 0.0444_wp |
---|
| 1110 | rghcri = 0.0414_wp |
---|
| 1111 | ! |
---|
[2048] | 1112 | END SELECT |
---|
| 1113 | |
---|
[2715] | 1114 | ! !* Set Schmidt number for psi diffusion in the wave breaking case |
---|
| 1115 | ! ! See Eq. (13) of Carniel et al, OM, 30, 225-239, 2009 |
---|
| 1116 | ! ! or Eq. (17) of Burchard, JPO, 31, 3133-3145, 2001 |
---|
[2397] | 1117 | IF( ln_sigpsi .AND. ln_crban ) THEN |
---|
| 1118 | zcr = SQRT( 1.5_wp*rsc_tke ) * rcm_sf / vkarmn |
---|
| 1119 | rsc_psi0 = vkarmn*vkarmn / ( rpsi2 * rcm_sf*rcm_sf ) & |
---|
| 1120 | & * ( rnn*rnn - 4._wp/3._wp * zcr*rnn*rmm - 1._wp/3._wp * zcr*rnn & |
---|
| 1121 | & + 2._wp/9._wp * rmm * zcr*zcr + 4._wp/9._wp * zcr*zcr * rmm*rmm ) |
---|
[2048] | 1122 | ELSE |
---|
[2299] | 1123 | rsc_psi0 = rsc_psi |
---|
[2048] | 1124 | ENDIF |
---|
| 1125 | |
---|
[2715] | 1126 | ! !* Shear free turbulence parameters |
---|
[2048] | 1127 | ! |
---|
[2397] | 1128 | ra_sf = -4._wp * rnn * SQRT( rsc_tke ) / ( (1._wp+4._wp*rmm) * SQRT( rsc_tke ) & |
---|
| 1129 | & - SQRT(rsc_tke + 24._wp*rsc_psi0*rpsi2 ) ) |
---|
| 1130 | rl_sf = rc0 * SQRT( rc0 / rcm_sf ) & |
---|
| 1131 | & * SQRT( ( (1._wp + 4._wp*rmm + 8._wp*rmm*rmm) * rsc_tke & |
---|
| 1132 | & + 12._wp * rsc_psi0 * rpsi2 & |
---|
| 1133 | & - (1._wp + 4._wp*rmm) * SQRT( rsc_tke*(rsc_tke+ 24._wp*rsc_psi0*rpsi2) ) ) & |
---|
| 1134 | & / ( 12._wp*rnn*rnn ) ) |
---|
[2048] | 1135 | |
---|
| 1136 | ! |
---|
[2715] | 1137 | IF(lwp) THEN !* Control print |
---|
[2048] | 1138 | WRITE(numout,*) |
---|
| 1139 | WRITE(numout,*) 'Limit values' |
---|
| 1140 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
[2299] | 1141 | WRITE(numout,*) 'Parameter m = ',rmm |
---|
| 1142 | WRITE(numout,*) 'Parameter n = ',rnn |
---|
| 1143 | WRITE(numout,*) 'Parameter p = ',rpp |
---|
| 1144 | WRITE(numout,*) 'rpsi1 = ',rpsi1 |
---|
| 1145 | WRITE(numout,*) 'rpsi2 = ',rpsi2 |
---|
| 1146 | WRITE(numout,*) 'rpsi3m = ',rpsi3m |
---|
| 1147 | WRITE(numout,*) 'rpsi3p = ',rpsi3p |
---|
| 1148 | WRITE(numout,*) 'rsc_tke = ',rsc_tke |
---|
| 1149 | WRITE(numout,*) 'rsc_psi = ',rsc_psi |
---|
| 1150 | WRITE(numout,*) 'rsc_psi0 = ',rsc_psi0 |
---|
| 1151 | WRITE(numout,*) 'rc0 = ',rc0 |
---|
[2048] | 1152 | WRITE(numout,*) |
---|
| 1153 | WRITE(numout,*) 'Shear free turbulence parameters:' |
---|
[2299] | 1154 | WRITE(numout,*) 'rcm_sf = ',rcm_sf |
---|
| 1155 | WRITE(numout,*) 'ra_sf = ',ra_sf |
---|
| 1156 | WRITE(numout,*) 'rl_sf = ',rl_sf |
---|
[2048] | 1157 | WRITE(numout,*) |
---|
| 1158 | ENDIF |
---|
| 1159 | |
---|
[2715] | 1160 | ! !* Constants initialization |
---|
[2397] | 1161 | rc02 = rc0 * rc0 ; rc02r = 1. / rc02 |
---|
| 1162 | rc03 = rc02 * rc0 |
---|
| 1163 | rc04 = rc03 * rc0 |
---|
[2299] | 1164 | rc03_sqrt2_galp = rc03 / SQRT(2._wp) / rn_clim_galp |
---|
[2397] | 1165 | rsbc_mb = 0.5_wp * (15.8_wp*rn_crban)**(2._wp/3._wp) ! Surf. bound. cond. from Mellor and Blumberg |
---|
| 1166 | rsbc_std = 3.75_wp ! Surf. bound. cond. standard (prod=diss) |
---|
| 1167 | rsbc_tke1 = (-rsc_tke*rn_crban/(rcm_sf*ra_sf*rl_sf))**(2._wp/3._wp) ! k_eps = 53. Dirichlet + Wave breaking |
---|
| 1168 | rsbc_tke2 = 0.5_wp / rau0 |
---|
[2299] | 1169 | rsbc_tke3 = rdt * rn_crban ! Neumann + Wave breaking |
---|
[2397] | 1170 | rsbc_zs = rn_charn / grav ! Charnock formula |
---|
[2299] | 1171 | rsbc_psi1 = rc0**rpp * rsbc_tke1**rmm * rl_sf**rnn ! Dirichlet + Wave breaking |
---|
[2397] | 1172 | rsbc_psi2 = -0.5_wp * rdt * rc0**rpp * rnn * vkarmn**rnn / rsc_psi ! Neumann + NO Wave breaking |
---|
| 1173 | rsbc_psi3 = -0.5_wp * rdt * rc0**rpp * rl_sf**rnn / rsc_psi * (rnn + rmm*ra_sf) ! Neumann + Wave breaking |
---|
| 1174 | rfact_tke = -0.5_wp / rsc_tke * rdt ! Cst used for the Diffusion term of tke |
---|
| 1175 | rfact_psi = -0.5_wp / rsc_psi * rdt ! Cst used for the Diffusion term of tke |
---|
[2048] | 1176 | |
---|
[2397] | 1177 | ! !* Wall proximity function |
---|
[2048] | 1178 | zwall (:,:,:) = 1._wp * tmask(:,:,:) |
---|
| 1179 | |
---|
[2397] | 1180 | ! !* set vertical eddy coef. to the background value |
---|
[2048] | 1181 | DO jk = 1, jpk |
---|
| 1182 | avt (:,:,jk) = avtb(jk) * tmask(:,:,jk) |
---|
| 1183 | avm (:,:,jk) = avmb(jk) * tmask(:,:,jk) |
---|
| 1184 | avmu(:,:,jk) = avmb(jk) * umask(:,:,jk) |
---|
| 1185 | avmv(:,:,jk) = avmb(jk) * vmask(:,:,jk) |
---|
| 1186 | END DO |
---|
[2715] | 1187 | ! |
---|
| 1188 | CALL gls_rst( nit000, 'READ' ) !* read or initialize all required files |
---|
[2048] | 1189 | ! |
---|
[3294] | 1190 | IF( nn_timing == 1 ) CALL timing_stop('zdf_gls_init') |
---|
| 1191 | ! |
---|
[2048] | 1192 | END SUBROUTINE zdf_gls_init |
---|
| 1193 | |
---|
[2329] | 1194 | |
---|
[2048] | 1195 | SUBROUTINE gls_rst( kt, cdrw ) |
---|
[2452] | 1196 | !!--------------------------------------------------------------------- |
---|
| 1197 | !! *** ROUTINE ts_rst *** |
---|
| 1198 | !! |
---|
| 1199 | !! ** Purpose : Read or write TKE file (en) in restart file |
---|
| 1200 | !! |
---|
| 1201 | !! ** Method : use of IOM library |
---|
| 1202 | !! if the restart does not contain TKE, en is either |
---|
| 1203 | !! set to rn_emin or recomputed (nn_igls/=0) |
---|
| 1204 | !!---------------------------------------------------------------------- |
---|
| 1205 | INTEGER , INTENT(in) :: kt ! ocean time-step |
---|
| 1206 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
---|
| 1207 | ! |
---|
| 1208 | INTEGER :: jit, jk ! dummy loop indices |
---|
[3294] | 1209 | INTEGER :: id1, id2, id3, id4, id5, id6 |
---|
[2452] | 1210 | INTEGER :: ji, jj, ikbu, ikbv |
---|
| 1211 | REAL(wp):: cbx, cby |
---|
| 1212 | !!---------------------------------------------------------------------- |
---|
| 1213 | ! |
---|
| 1214 | IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialise |
---|
| 1215 | ! ! --------------- |
---|
| 1216 | IF( ln_rstart ) THEN !* Read the restart file |
---|
| 1217 | id1 = iom_varid( numror, 'en' , ldstop = .FALSE. ) |
---|
| 1218 | id2 = iom_varid( numror, 'avt' , ldstop = .FALSE. ) |
---|
| 1219 | id3 = iom_varid( numror, 'avm' , ldstop = .FALSE. ) |
---|
| 1220 | id4 = iom_varid( numror, 'avmu' , ldstop = .FALSE. ) |
---|
| 1221 | id5 = iom_varid( numror, 'avmv' , ldstop = .FALSE. ) |
---|
| 1222 | id6 = iom_varid( numror, 'mxln' , ldstop = .FALSE. ) |
---|
| 1223 | ! |
---|
[3294] | 1224 | IF( MIN( id1, id2, id3, id4, id5, id6 ) > 0 ) THEN ! all required arrays exist |
---|
[2452] | 1225 | CALL iom_get( numror, jpdom_autoglo, 'en' , en ) |
---|
| 1226 | CALL iom_get( numror, jpdom_autoglo, 'avt' , avt ) |
---|
| 1227 | CALL iom_get( numror, jpdom_autoglo, 'avm' , avm ) |
---|
| 1228 | CALL iom_get( numror, jpdom_autoglo, 'avmu' , avmu ) |
---|
| 1229 | CALL iom_get( numror, jpdom_autoglo, 'avmv' , avmv ) |
---|
| 1230 | CALL iom_get( numror, jpdom_autoglo, 'mxln' , mxln ) |
---|
| 1231 | ELSE |
---|
| 1232 | IF(lwp) WRITE(numout,*) ' ===>>>> : previous run without gls scheme, en and mxln computed by iterative loop' |
---|
| 1233 | en (:,:,:) = rn_emin |
---|
| 1234 | mxln(:,:,:) = 0.001 |
---|
| 1235 | DO jit = nit000 + 1, nit000 + 10 ; CALL zdf_gls( jit ) ; END DO |
---|
| 1236 | ENDIF |
---|
| 1237 | ELSE !* Start from rest |
---|
| 1238 | IF(lwp) WRITE(numout,*) ' ===>>>> : Initialisation of en and mxln by background values' |
---|
| 1239 | en (:,:,:) = rn_emin |
---|
| 1240 | mxln(:,:,:) = 0.001 |
---|
| 1241 | ENDIF |
---|
| 1242 | ! |
---|
| 1243 | ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file |
---|
| 1244 | ! ! ------------------- |
---|
| 1245 | IF(lwp) WRITE(numout,*) '---- gls-rst ----' |
---|
| 1246 | CALL iom_rstput( kt, nitrst, numrow, 'en' , en ) |
---|
| 1247 | CALL iom_rstput( kt, nitrst, numrow, 'avt' , avt ) |
---|
| 1248 | CALL iom_rstput( kt, nitrst, numrow, 'avm' , avm ) |
---|
| 1249 | CALL iom_rstput( kt, nitrst, numrow, 'avmu' , avmu ) |
---|
| 1250 | CALL iom_rstput( kt, nitrst, numrow, 'avmv' , avmv ) |
---|
| 1251 | CALL iom_rstput( kt, nitrst, numrow, 'mxln' , mxln ) |
---|
| 1252 | ! |
---|
| 1253 | ENDIF |
---|
| 1254 | ! |
---|
[2048] | 1255 | END SUBROUTINE gls_rst |
---|
| 1256 | |
---|
| 1257 | #else |
---|
| 1258 | !!---------------------------------------------------------------------- |
---|
| 1259 | !! Dummy module : NO TKE scheme |
---|
| 1260 | !!---------------------------------------------------------------------- |
---|
| 1261 | LOGICAL, PUBLIC, PARAMETER :: lk_zdfgls = .FALSE. !: TKE flag |
---|
| 1262 | CONTAINS |
---|
[2409] | 1263 | SUBROUTINE zdf_gls_init ! Empty routine |
---|
| 1264 | WRITE(*,*) 'zdf_gls_init: You should not have seen this print! error?' |
---|
| 1265 | END SUBROUTINE zdf_gls_init |
---|
[2048] | 1266 | SUBROUTINE zdf_gls( kt ) ! Empty routine |
---|
| 1267 | WRITE(*,*) 'zdf_gls: You should not have seen this print! error?', kt |
---|
| 1268 | END SUBROUTINE zdf_gls |
---|
[2397] | 1269 | SUBROUTINE gls_rst( kt, cdrw ) ! Empty routine |
---|
[2264] | 1270 | INTEGER , INTENT(in) :: kt ! ocean time-step |
---|
| 1271 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
---|
[2397] | 1272 | WRITE(*,*) 'gls_rst: You should not have seen this print! error?', kt, cdrw |
---|
[2264] | 1273 | END SUBROUTINE gls_rst |
---|
[2048] | 1274 | #endif |
---|
| 1275 | |
---|
| 1276 | !!====================================================================== |
---|
| 1277 | END MODULE zdfgls |
---|
[2397] | 1278 | |
---|