[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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| 7 | !! History : 3.0 ! 2009-09 (G. Reffray) : Original code |
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| 8 | !!---------------------------------------------------------------------- |
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| 9 | #if defined key_zdfgls || defined key_esopa |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | !! 'key_zdfgls' Generic Length Scale vertical physics |
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| 12 | !!---------------------------------------------------------------------- |
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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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| 27 | USE prtctl ! Print control |
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| 28 | USE in_out_manager ! I/O manager |
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| 29 | USE iom ! I/O manager library |
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| 30 | USE zdfbfr, ONLY : rn_hbro, wbotu, wbotv ! bottom roughness and bottom stresses |
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| 31 | |
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| 32 | IMPLICIT NONE |
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| 33 | PRIVATE |
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| 34 | |
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| 35 | PUBLIC zdf_gls ! routine called in step module |
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| 36 | PUBLIC gls_rst ! routine called in step module |
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| 37 | |
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| 38 | LOGICAL , PUBLIC, PARAMETER :: lk_zdfgls = .TRUE. !: TKE vertical mixing flag |
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| 39 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: en !: now turbulent kinetic energy |
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| 40 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: mxln !: now mixing length |
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| 41 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: zwall !: wall function |
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| 42 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj) :: ustars2 !: Squared surface velocity scale at T-points |
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| 43 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj) :: ustarb2 !: Squared bottom velocity scale at T-points |
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| 44 | |
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| 45 | ! !!! ** Namelist namzdf_gls ** |
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| 46 | LOGICAL :: ln_crban = .FALSE. ! =T use Craig and Banner scheme |
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| 47 | LOGICAL :: ln_length_lim = .FALSE. ! use limit on the dissipation rate understable stratification (Galperin et al., 1988) |
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| 48 | LOGICAL :: ln_sigpsi = .FALSE. ! Activate Burchard (2003) modification for k-eps closure AND wave breaking mixing |
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| 49 | REAL(wp) :: rn_epsmin = 1.e-12_wp ! minimum value of dissipation (m2/s3) |
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| 50 | REAL(wp) :: rn_emin = 1.e-6_wp ! minimum value of TKE (m2/s2) |
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| 51 | INTEGER :: nn_tkebc_surf = 0 ! TKE surface boundary condition (=0/1) |
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| 52 | INTEGER :: nn_tkebc_bot = 0 ! TKE bottom boundary condition (=0/1) |
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| 53 | INTEGER :: nn_psibc_surf = 0 ! PSI surface boundary condition (=0/1) |
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| 54 | INTEGER :: nn_psibc_bot = 0 ! PSI bottom boundary condition (=0/1) |
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| 55 | INTEGER :: nn_stab_func = 0 ! stability functions G88, KC or Canuto (=0/1/2) |
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| 56 | INTEGER :: nn_clos = 0 ! closure 0/1/2/3 MY82/k-eps/k-w/gen |
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| 57 | REAL(wp) :: clim_galp = 0.53_wp ! Holt 2008 value for k-eps: 0.267 |
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| 58 | REAL(wp) :: hsro = 0.003_wp ! Minimum surface roughness |
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| 59 | 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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| 60 | REAL(wp) :: rn_crban = 100._wp ! Craig and Banner constant for surface breaking waves mixing |
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| 61 | REAL(wp) :: rn_cm_sf = 0.73_wp ! Shear free turbulence parameters |
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| 62 | REAL(wp) :: rn_a_sf = -2.0_wp ! Must be negative -2 < rn_a_sf < -1 |
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| 63 | REAL(wp) :: rn_l_sf = 0.2_wp ! 0 <rn_l_sf<vkarmn |
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| 64 | REAL(wp) :: rn_ghmin = -0.28 |
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| 65 | REAL(wp) :: rn_gh0 = 0.0329 |
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| 66 | REAL(wp) :: rn_ghcri = 0.03 |
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| 67 | REAL(wp) :: rn_a1 = 0.92_wp |
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| 68 | REAL(wp) :: rn_a2 = 0.74_wp |
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| 69 | REAL(wp) :: rn_b1 = 16.60_wp |
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| 70 | REAL(wp) :: rn_b2 = 10.10_wp |
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| 71 | REAL(wp) :: rn_e1 = 1.80_wp |
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| 72 | REAL(wp) :: rn_e2 = 1.33_wp |
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| 73 | REAL(wp) :: rn_l1 = 0.107_wp |
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| 74 | REAL(wp) :: rn_l2 = 0.0032_wp |
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| 75 | REAL(wp) :: rn_l3 = 0.0864_wp |
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| 76 | REAL(wp) :: rn_l4 = 0.12_wp |
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| 77 | REAL(wp) :: rn_l5 = 11.9_wp |
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| 78 | REAL(wp) :: rn_l6 = 0.4_wp |
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| 79 | REAL(wp) :: rn_l7 = 0.0_wp |
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| 80 | REAL(wp) :: rn_l8 = 0.48_wp |
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| 81 | REAL(wp) :: rn_m1 = 0.127_wp |
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| 82 | REAL(wp) :: rn_m2 = 0.00336_wp |
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| 83 | REAL(wp) :: rn_m3 = 0.0906_wp |
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| 84 | REAL(wp) :: rn_m4 = 0.101_wp |
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| 85 | REAL(wp) :: rn_m5 = 11.2_wp |
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| 86 | REAL(wp) :: rn_m6 = 0.4_wp |
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| 87 | REAL(wp) :: rn_m7 = 0.0_wp |
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| 88 | REAL(wp) :: rn_m8 = 0.318_wp |
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| 89 | REAL(wp) :: rn_c02 |
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| 90 | REAL(wp) :: rn_c02r |
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| 91 | REAL(wp) :: rn_c03 |
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| 92 | REAL(wp) :: rn_c04 |
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| 93 | REAL(wp) :: rn_c03_sqrt2_galp |
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| 94 | REAL(wp) :: rn_sbc_mb |
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| 95 | REAL(wp) :: rn_sbc_std |
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| 96 | REAL(wp) :: rn_sbc_tke1 |
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| 97 | REAL(wp) :: rn_sbc_tke2 |
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| 98 | REAL(wp) :: rn_sbc_tke3 |
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| 99 | REAL(wp) :: rn_sbc_psi1 |
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| 100 | REAL(wp) :: rn_sbc_psi2 |
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| 101 | REAL(wp) :: rn_sbc_psi3 |
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| 102 | REAL(wp) :: rn_sbc_zs |
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| 103 | REAL(wp) :: zfact_tke, zfact_psi |
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| 104 | REAL(wp) :: rn_c0, rn_c2, rn_c3, rn_f6, rn_cff, rn_c_diff |
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| 105 | REAL(wp) :: rn_s0, rn_s1, rn_s2, rn_s4, rn_s5, rn_s6 |
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| 106 | REAL(wp) :: rn_d0, rn_d1, rn_d2, rn_d3, rn_d4, rn_d5 |
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| 107 | REAL(wp) :: rn_sc_tke, rn_sc_psi, rn_psi1, rn_psi2, rn_psi3, rn_sc_psi0 |
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| 108 | REAL(wp) :: rn_psi3m, rn_psi3p, zpp, zmm, znn, epslim |
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| 109 | |
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| 110 | !! * Substitutions |
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| 111 | # include "domzgr_substitute.h90" |
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| 112 | # include "vectopt_loop_substitute.h90" |
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| 113 | !!---------------------------------------------------------------------- |
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| 114 | !! NEMO/OPA 3.0 , LOCEAN-IPSL (2008) |
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| 115 | !! $Id: zdfgls.F90 1201 2008-09-24 13:24:21Z rblod $ |
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| 116 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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| 117 | !!---------------------------------------------------------------------- |
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| 118 | |
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| 119 | CONTAINS |
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| 120 | |
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| 121 | SUBROUTINE zdf_gls( kt ) |
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| 122 | !!---------------------------------------------------------------------- |
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| 123 | !! *** ROUTINE zdf_gls *** |
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| 124 | !! |
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| 125 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
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| 126 | !! coefficients using a 2.5 turbulent closure scheme. |
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| 127 | !!---------------------------------------------------------------------- |
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| 128 | USE oce, z_elem_a => ua ! use ua as workspace |
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| 129 | USE oce, z_elem_b => va ! use va as workspace |
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| 130 | USE oce, z_elem_c => ta ! use ta as workspace |
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| 131 | USE oce, psi => sa ! use sa as workspace |
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| 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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| 135 | ! |
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| 136 | REAL(wp) :: zesh2, zsigpsi ! temporary scalars |
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| 137 | REAL(wp) :: ztx2, zty2, zup, zdown, zcof ! - |
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| 138 | REAL(wp) :: zratio, zrn2, zflxb, sh ! - - |
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| 139 | REAL(wp) :: prod, buoy, diss, zdiss, sm ! - - |
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| 140 | REAL(wp) :: gh, gm, shr, dif, zsqen, zav ! - - |
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| 141 | REAL(wp), DIMENSION(jpi,jpj) :: zdep ! |
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| 142 | REAL(wp), DIMENSION(jpi,jpj) :: zflxs ! Turbulence fluxed induced by internal waves |
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| 143 | REAL(wp), DIMENSION(jpi,jpj) :: zhsro ! Surface roughness (surface waves) |
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| 144 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: eb ! tke at time before |
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| 145 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: mxlb ! mixing length at time before |
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| 146 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: shear ! vertical shear |
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| 147 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: eps ! dissipation rate |
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| 148 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwall_psi ! Wall function for psi schmidt number in the wb case |
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| 149 | ! (if ln_sigpsi.AND.ln_crban) |
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| 150 | !!-------------------------------------------------------------------- |
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| 151 | |
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| 152 | IF( kt == nit000 ) CALL zdf_gls_init ! Initialization (first time-step only) |
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| 153 | |
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| 154 | !!-------------------------------------------------------------------- |
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| 155 | ! Preliminary computing |
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| 156 | |
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| 157 | ustars2 = 0. ; ustarb2 = 0. ; psi = 0. ; zwall_psi = 0. |
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| 158 | |
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| 159 | ! Compute wind stress at T-points |
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| 160 | !CDIR NOVERRCHK |
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| 161 | DO jj = 2, jpjm1 |
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| 162 | !CDIR NOVERRCHK |
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| 163 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 164 | ! |
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| 165 | ! wind stress |
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| 166 | ! squared surface velocity scale |
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| 167 | ztx2 = 2. * (utau(ji-1,jj )*umask(ji-1,jj,1) + utau(ji,jj)*umask(ji,jj,1)) / & |
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| 168 | & MAX(1., umask(ji-1,jj,1) + umask(ji,jj,1)) |
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| 169 | zty2 = 2. * (vtau(ji ,jj-1)*vmask(ji,jj-1,1) + vtau(ji,jj)*vmask(ji,jj,1)) / & |
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| 170 | & MAX(1., vmask(ji,jj-1,1) + vmask(ji,jj,1)) |
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| 171 | ustars2(ji,jj) = rn_sbc_tke2 * SQRT( ztx2 * ztx2 + zty2 * zty2 ) * tmask(ji,jj,1) |
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| 172 | ! |
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| 173 | ! bottom friction |
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| 174 | ztx2 = 2. * (wbotu(ji-1,jj )*umask(ji-1,jj,1) + wbotu(ji,jj)*umask(ji,jj,1)) / & |
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| 175 | & MAX(1., umask(ji-1,jj,1) + umask(ji,jj,1)) |
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| 176 | zty2 = 2. * (wbotv(ji ,jj-1)*vmask(ji,jj-1,1) + wbotv(ji,jj)*vmask(ji,jj,1)) / & |
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| 177 | & MAX(1., vmask(ji,jj-1,1) + vmask(ji,jj,1)) |
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| 178 | ustarb2(ji,jj) = 0.5 * SQRT( ztx2 * ztx2 + zty2 * zty2 ) * tmask(ji,jj,1) |
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| 179 | ENDDO |
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| 180 | ENDDO |
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| 181 | |
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| 182 | ! In case of breaking surface waves mixing, |
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| 183 | ! Compute surface roughness length according to Charnock formula: |
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| 184 | IF (ln_crban) THEN |
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| 185 | zhsro(:,:) = MAX(rn_sbc_zs * ustars2(:,:), hsro) |
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| 186 | ELSE |
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| 187 | zhsro(:,:) = hsro |
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| 188 | ENDIF |
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| 189 | |
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| 190 | ! Compute shear and dissipation rate |
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| 191 | DO jk = 2, jpkm1 |
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| 192 | DO jj = 2, jpjm1 |
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| 193 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 194 | avmu(ji,jj,jk) = avmu(ji,jj,jk) * ( un(ji,jj,jk-1) - un(ji,jj,jk) ) & |
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| 195 | & * ( ub(ji,jj,jk-1) - ub(ji,jj,jk) ) & |
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| 196 | & / ( fse3uw_n(ji,jj,jk) & |
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| 197 | & * fse3uw_b(ji,jj,jk) ) |
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| 198 | avmv(ji,jj,jk) = avmv(ji,jj,jk) * ( vn(ji,jj,jk-1) - vn(ji,jj,jk) ) & |
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| 199 | & * ( vb(ji,jj,jk-1) - vb(ji,jj,jk) ) & |
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| 200 | & / ( fse3vw_n(ji,jj,jk) & |
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| 201 | & * fse3vw_b(ji,jj,jk) ) |
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| 202 | eps(ji,jj,jk) = rn_c03 * en(ji,jj,jk) * SQRT(en(ji,jj,jk)) / mxln(ji,jj,jk) |
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| 203 | ENDDO |
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| 204 | ENDDO |
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| 205 | ENDDO |
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| 206 | ! |
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| 207 | ! Lateral boundary conditions (avmu,avmv) (sign unchanged) |
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| 208 | CALL lbc_lnk( avmu, 'U', 1. ) ; CALL lbc_lnk( avmv, 'V', 1. ) |
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| 209 | |
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| 210 | ! Save tke at before time step |
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| 211 | eb (:,:,:) = en (:,:,:) |
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| 212 | mxlb(:,:,:) = mxln(:,:,:) |
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| 213 | |
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| 214 | IF ( nn_clos .EQ. 0 ) THEN ! Mellor-Yamada |
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| 215 | DO jk = 2, jpkm1 |
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| 216 | DO jj = 2, jpjm1 |
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| 217 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 218 | zup = mxln(ji,jj,jk) * fsdepw(ji,jj,mbathy(ji,jj)) |
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| 219 | zdown = vkarmn * fsdepw(ji,jj,jk) * (-fsdepw(ji,jj,jk)+fsdepw(ji,jj,mbathy(ji,jj))) |
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| 220 | zwall (ji,jj,jk) = ( 1. + rn_e2 * ( zup / MAX( zdown, rsmall ) )**2. ) * tmask(ji,jj,jk) |
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| 221 | ENDDO |
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| 222 | ENDDO |
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| 223 | ENDDO |
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| 224 | ENDIF |
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| 225 | |
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| 226 | !!---------------------------------!! |
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| 227 | !! Equation to prognostic k !! |
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| 228 | !!---------------------------------!! |
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| 229 | ! |
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| 230 | ! Now Turbulent kinetic energy (output in en) |
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| 231 | ! ------------------------------- |
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| 232 | ! Resolution of a tridiagonal linear system by a "methode de chasse" |
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| 233 | ! computation from level 2 to jpkm1 (e(1) computed after and e(jpk)=0 ). |
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| 234 | ! The surface boundary condition are set after |
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| 235 | ! The bottom boundary condition are also set after. In standard e(bottom)=0. |
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| 236 | ! z_elem_b : diagonal z_elem_c : upper diagonal z_elem_a : lower diagonal |
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| 237 | ! Warning : after this step, en : right hand side of the matrix |
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| 238 | |
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| 239 | DO jk = 2, jpkm1 |
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| 240 | DO jj = 2, jpjm1 |
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| 241 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 242 | ! |
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| 243 | ! shear prod. at w-point weightened by mask |
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| 244 | 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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| 245 | & + ( 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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| 246 | ! |
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| 247 | ! stratif. destruction |
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| 248 | buoy = - avt(ji,jj,jk) * rn2(ji,jj,jk) |
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| 249 | ! |
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| 250 | ! shear prod. - stratif. destruction |
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| 251 | diss = eps(ji,jj,jk) |
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| 252 | ! |
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| 253 | dir = 0.5 + sign(0.5,shear(ji,jj,jk)+buoy) ! dir =1(=0) if shear(ji,jj,jk)+buoy >0(<0) |
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| 254 | ! |
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| 255 | zesh2 = dir*(shear(ji,jj,jk)+buoy)+(1-dir)*shear(ji,jj,jk) ! production term |
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| 256 | zdiss = dir*(diss/en(ji,jj,jk)) +(1-dir)*(diss-buoy)/en(ji,jj,jk) ! dissipation term |
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| 257 | ! |
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| 258 | ! Compute a wall function from 1. to rn_sc_psi*zwall/rn_sc_psi0 |
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| 259 | ! Note that as long that Dirichlet boundary conditions are NOT set at the first and last levels (GOTM style) |
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| 260 | ! there is no need to set a boundary condition for zwall_psi at the top and bottom boundaries. |
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| 261 | ! Otherwise, this should be rn_sc_psi/rn_sc_psi0 |
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| 262 | IF (ln_sigpsi) THEN |
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| 263 | zsigpsi = MIN(1., zesh2/eps(ji,jj,jk)) ! 0. <= zsigpsi <= 1. |
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| 264 | zwall_psi(ji,jj,jk) = rn_sc_psi / (zsigpsi * rn_sc_psi + (1.-zsigpsi) * rn_sc_psi0 / MAX(zwall(ji,jj,jk),1.)) |
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| 265 | ELSE |
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| 266 | zwall_psi(ji,jj,jk) = 1. |
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| 267 | ENDIF |
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| 268 | ! |
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| 269 | ! building the matrix |
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| 270 | zcof = zfact_tke * tmask(ji,jj,jk) |
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| 271 | ! |
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| 272 | ! lower diagonal |
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| 273 | z_elem_a(ji,jj,jk) = zcof * ( avm (ji,jj,jk ) + avm (ji,jj,jk-1) ) & |
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| 274 | & / ( fse3t(ji,jj,jk-1) * fse3w(ji,jj,jk ) ) |
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| 275 | ! |
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| 276 | ! upper diagonal |
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| 277 | z_elem_c(ji,jj,jk) = zcof * ( avm (ji,jj,jk+1) + avm (ji,jj,jk ) ) & |
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| 278 | & / ( fse3t(ji,jj,jk ) * fse3w(ji,jj,jk) ) |
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| 279 | ! |
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| 280 | ! diagonal |
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| 281 | z_elem_b(ji,jj,jk) = 1. - z_elem_a(ji,jj,jk) - z_elem_c(ji,jj,jk) & |
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| 282 | & + rdt * zdiss * tmask(ji,jj,jk) |
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| 283 | ! |
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| 284 | ! right hand side in en |
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| 285 | en(ji,jj,jk) = en(ji,jj,jk) + rdt * zesh2 * tmask(ji,jj,jk) |
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| 286 | END DO |
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| 287 | END DO |
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| 288 | END DO |
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| 289 | ! |
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| 290 | z_elem_b(:,:,jpk) = 1. |
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| 291 | ! |
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| 292 | ! Set surface condition on zwall_psi (1 at the bottom) |
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| 293 | IF (ln_sigpsi) THEN |
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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) = rn_sc_psi/rn_sc_psi0 |
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| 297 | END DO |
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| 298 | END DO |
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| 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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| 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 | ! |
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| 312 | en(:,:,1) = MAX( rn_sbc_tke1 * ustars2(:,:), rn_emin ) |
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| 313 | z_elem_a(:,:,1) = en(:,:,1) |
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| 314 | z_elem_c(:,:,1) = 0. |
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| 315 | z_elem_b(:,:,1) = 1. |
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| 316 | ! |
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| 317 | ! one level below |
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[2081] | 318 | en(:,:,2) = MAX( rn_sbc_tke1 * ustars2(:,:) * ( (zhsro(:,:)+fsdepw(:,:,2))/zhsro(:,:) )**rn_a_sf, rn_emin ) |
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[2048] | 319 | z_elem_a(:,:,2) = 0. |
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| 320 | z_elem_c(:,:,2) = 0. |
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| 321 | z_elem_b(:,:,2) = 1. |
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| 322 | ! |
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| 323 | ELSE ! No wave induced mixing case |
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| 324 | ! ! en(1) = u*^2/C0^2 & l(1) = K*zs |
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| 325 | ! ! balance between the production and the dissipation terms |
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| 326 | ! |
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| 327 | en(:,:,1) = MAX( rn_c02r * ustars2(:,:), rn_emin ) |
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| 328 | z_elem_a(:,:,1) = en(:,:,1) |
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| 329 | z_elem_c(:,:,1) = 0. |
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| 330 | z_elem_b(:,:,1) = 1. |
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| 331 | ! |
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| 332 | ! one level below |
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| 333 | en(:,:,2) = MAX( rn_c02r * ustars2(:,:), rn_emin ) |
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| 334 | z_elem_a(:,:,2) = 0. |
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| 335 | z_elem_c(:,:,2) = 0. |
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| 336 | z_elem_b(:,:,2) = 1. |
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| 337 | ! |
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| 338 | ENDIF |
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| 339 | ! |
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| 340 | CASE ( 1 ) ! Neumann boundary condition on d(e)/dz |
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| 341 | ! |
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| 342 | IF (ln_crban) THEN ! Shear free case: d(e)/dz= Fw |
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| 343 | ! |
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| 344 | ! Dirichlet conditions at k=1 (Cosmetic) |
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| 345 | en(:,:,1) = MAX( rn_sbc_tke1 * ustars2(:,:), rn_emin ) |
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| 346 | z_elem_a(:,:,1) = en(:,:,1) |
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| 347 | z_elem_c(:,:,1) = 0. |
---|
| 348 | z_elem_b(:,:,1) = 1. |
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| 349 | ! at k=2, set de/dz=Fw |
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| 350 | z_elem_b(:,:,2) = z_elem_b(:,:,2) + z_elem_a(:,:,2) ! Remove z_elem_a from z_elem_b |
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| 351 | z_elem_a(:,:,2) = 0. |
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[2081] | 352 | zflxs(:,:) = rn_sbc_tke3 * ustars2(:,:)**1.5 * ((zhsro(:,:)+fsdept(:,:,1))/zhsro(:,:) )**(1.5*rn_a_sf) |
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[2048] | 353 | en(:,:,2) = en(:,:,2) + zflxs(:,:)/fse3w(:,:,2) |
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| 354 | ! |
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| 355 | ELSE ! No wave induced mixing case: d(e)/dz=0. |
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| 356 | ! |
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| 357 | ! Dirichlet conditions at k=1 (Cosmetic) |
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| 358 | en(:,:,1) = MAX( rn_c02r * ustars2(:,:), rn_emin ) |
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| 359 | z_elem_a(:,:,1) = en(:,:,1) |
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| 360 | z_elem_c(:,:,1) = 0. |
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| 361 | z_elem_b(:,:,1) = 1. |
---|
| 362 | ! at k=2 set de/dz=0.: |
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| 363 | z_elem_b(:,:,2) = z_elem_b(:,:,2) + z_elem_a(:,:,2) ! Remove z_elem_a from z_elem_b |
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| 364 | z_elem_a(:,:,2) = 0. |
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| 365 | ! |
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| 366 | ENDIF |
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| 367 | ! |
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| 368 | END SELECT |
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| 369 | |
---|
| 370 | ! Bottom boundary condition on tke |
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| 371 | ! -------------------------------- |
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| 372 | ! |
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| 373 | SELECT CASE ( nn_tkebc_bot ) |
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| 374 | ! |
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| 375 | CASE ( 0 ) ! Dirichlet |
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| 376 | ! ! en(ibot) = u*^2 / Co2 and mxln(ibot) = rn_lmin |
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| 377 | ! ! Balance between the production and the dissipation terms |
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| 378 | ! |
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| 379 | !CDIR NOVERRCHK |
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| 380 | DO jj = 2, jpjm1 |
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| 381 | !CDIR NOVERRCHK |
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| 382 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 383 | ibot = mbathy(ji,jj) |
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| 384 | ibotm1 = ibot-1 |
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| 385 | ! |
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| 386 | ! Bottom level Dirichlet condition: |
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| 387 | z_elem_a(ji,jj,ibot ) = 0. |
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| 388 | z_elem_c(ji,jj,ibot ) = 0. |
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| 389 | z_elem_b(ji,jj,ibot ) = 1. |
---|
| 390 | en(ji,jj,ibot ) = MAX( rn_c02r * ustarb2(ji,jj), rn_emin ) |
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| 391 | ! |
---|
| 392 | ! Just above last level, Dirichlet condition again |
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| 393 | z_elem_a(ji,jj,ibotm1) = 0. |
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| 394 | z_elem_c(ji,jj,ibotm1) = 0. |
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| 395 | z_elem_b(ji,jj,ibotm1) = 1. |
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| 396 | en(ji,jj,ibotm1) = MAX( rn_c02r * ustarb2(ji,jj), rn_emin ) |
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| 397 | END DO |
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| 398 | END DO |
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| 399 | ! |
---|
| 400 | CASE ( 1 ) ! Neumman boundary condition |
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| 401 | ! |
---|
| 402 | !CDIR NOVERRCHK |
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| 403 | DO jj = 2, jpjm1 |
---|
| 404 | !CDIR NOVERRCHK |
---|
| 405 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 406 | ibot = mbathy(ji,jj) |
---|
| 407 | ibotm1 = ibot-1 |
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| 408 | ! |
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| 409 | ! Bottom level Dirichlet condition: |
---|
| 410 | z_elem_a(ji,jj,ibot) = 0. |
---|
| 411 | z_elem_c(ji,jj,ibot) = 0. |
---|
| 412 | z_elem_b(ji,jj,ibot) = 1. |
---|
| 413 | en(ji,jj,ibot) = MAX( rn_c02r * ustarb2(ji,jj), rn_emin ) |
---|
| 414 | ! |
---|
| 415 | ! Just above last level: Neumann condition |
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| 416 | 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 |
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| 417 | z_elem_c(ji,jj,ibotm1) = 0. |
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| 418 | END DO |
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| 419 | END DO |
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| 420 | ! |
---|
| 421 | END SELECT |
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| 422 | |
---|
| 423 | ! Matrix inversion (en prescribed at surface and the bottom) |
---|
| 424 | ! ---------------------------------------------------------- |
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| 425 | ! |
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| 426 | DO jk = 2, jpkm1 ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1 |
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| 427 | DO jj = 2, jpjm1 |
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| 428 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 429 | 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) |
---|
| 430 | END DO |
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| 431 | END DO |
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| 432 | END DO |
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| 433 | DO jk = 2, jpk ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1 |
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| 434 | DO jj = 2, jpjm1 |
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| 435 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 436 | 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) |
---|
| 437 | END DO |
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| 438 | END DO |
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| 439 | END DO |
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| 440 | DO jk = jpk-1, 2, -1 ! thrid recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk |
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| 441 | DO jj = 2, jpjm1 |
---|
| 442 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 443 | 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) |
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| 444 | END DO |
---|
| 445 | END DO |
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| 446 | END DO |
---|
| 447 | ! |
---|
| 448 | ! set the minimum value of tke |
---|
| 449 | en(:,:,:) = MAX( en(:,:,:), rn_emin ) |
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| 450 | |
---|
| 451 | !!----------------------------------------!! |
---|
| 452 | !! Solve prognostic equation for psi !! |
---|
| 453 | !!----------------------------------------!! |
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| 454 | |
---|
| 455 | ! Set psi to previous time step value |
---|
| 456 | ! |
---|
| 457 | SELECT CASE ( nn_clos ) |
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| 458 | ! |
---|
| 459 | CASE( 0 ) ! k-kl (Mellor-Yamada) |
---|
| 460 | ! |
---|
| 461 | DO jk = 2, jpkm1 |
---|
| 462 | DO jj = 2, jpjm1 |
---|
| 463 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 464 | psi(ji,jj,jk) = en(ji,jj,jk) * mxln(ji,jj,jk) |
---|
| 465 | ENDDO |
---|
| 466 | ENDDO |
---|
| 467 | ENDDO |
---|
| 468 | ! |
---|
| 469 | CASE( 1 ) ! k-eps |
---|
| 470 | ! |
---|
| 471 | DO jk = 2, jpkm1 |
---|
| 472 | DO jj = 2, jpjm1 |
---|
| 473 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 474 | psi(ji,jj,jk) = eps(ji,jj,jk) |
---|
| 475 | ENDDO |
---|
| 476 | ENDDO |
---|
| 477 | ENDDO |
---|
| 478 | ! |
---|
| 479 | CASE( 2 ) ! k-w |
---|
| 480 | ! |
---|
| 481 | DO jk = 2, jpkm1 |
---|
| 482 | DO jj = 2, jpjm1 |
---|
| 483 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 484 | psi(ji,jj,jk) = SQRT(en(ji,jj,jk)) / (rn_c0 * mxln(ji,jj,jk)) |
---|
| 485 | ENDDO |
---|
| 486 | ENDDO |
---|
| 487 | ENDDO |
---|
| 488 | ! |
---|
| 489 | CASE( 3 ) ! gen |
---|
| 490 | ! |
---|
| 491 | DO jk = 2, jpkm1 |
---|
| 492 | DO jj = 2, jpjm1 |
---|
| 493 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 494 | psi(ji,jj,jk) = rn_c02 * en(ji,jj,jk) * mxln(ji,jj,jk)**znn |
---|
| 495 | ENDDO |
---|
| 496 | ENDDO |
---|
| 497 | ENDDO |
---|
| 498 | ! |
---|
| 499 | END SELECT |
---|
| 500 | ! |
---|
| 501 | ! Now gls (output in psi) |
---|
| 502 | ! ------------------------------- |
---|
| 503 | ! Resolution of a tridiagonal linear system by a "methode de chasse" |
---|
| 504 | ! computation from level 2 to jpkm1 (e(1) already computed and e(jpk)=0 ). |
---|
| 505 | ! z_elem_b : diagonal z_elem_c : upper diagonal z_elem_a : lower diagonal |
---|
| 506 | ! Warning : after this step, en : right hand side of the matrix |
---|
| 507 | |
---|
| 508 | DO jk = 2, jpkm1 |
---|
| 509 | DO jj = 2, jpjm1 |
---|
| 510 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 511 | ! |
---|
| 512 | ! psi / k |
---|
| 513 | zratio = psi(ji,jj,jk) / eb(ji,jj,jk) |
---|
| 514 | ! |
---|
| 515 | ! psi3+ : stable : B=-KhN²<0 => N²>0 if rn2>0 dir = 1 (stable) otherwise dir = 0 (unstable) |
---|
| 516 | dir = 0.5 + sign(0.5,rn2(ji,jj,jk)) |
---|
| 517 | ! |
---|
| 518 | rn_psi3 = dir*rn_psi3m+(1-dir)*rn_psi3p |
---|
| 519 | ! |
---|
| 520 | ! shear prod. - stratif. destruction |
---|
| 521 | prod = rn_psi1 * zratio * shear(ji,jj,jk) |
---|
| 522 | ! |
---|
| 523 | ! stratif. destruction |
---|
| 524 | buoy = rn_psi3 * zratio * (- avt(ji,jj,jk) * rn2(ji,jj,jk)) |
---|
| 525 | ! |
---|
| 526 | ! shear prod. - stratif. destruction |
---|
| 527 | diss = rn_psi2 * zratio * zwall(ji,jj,jk) * eps(ji,jj,jk) |
---|
| 528 | ! |
---|
| 529 | dir = 0.5 + sign(0.5,prod+buoy) ! dir =1(=0) if shear(ji,jj,jk)+buoy >0(<0) |
---|
| 530 | ! |
---|
| 531 | zesh2 = dir*(prod+buoy) +(1-dir)*prod ! production term |
---|
| 532 | zdiss = dir*(diss/psi(ji,jj,jk)) +(1-dir)*(diss-buoy)/psi(ji,jj,jk) ! dissipation term |
---|
| 533 | ! |
---|
| 534 | ! building the matrix |
---|
| 535 | zcof = zfact_psi * zwall_psi(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 536 | ! lower diagonal |
---|
| 537 | z_elem_a(ji,jj,jk) = zcof * ( avm (ji,jj,jk ) + avm (ji,jj,jk-1) ) & |
---|
| 538 | & / ( fse3t(ji,jj,jk-1) * fse3w(ji,jj,jk ) ) |
---|
| 539 | ! upper diagonal |
---|
| 540 | z_elem_c(ji,jj,jk) = zcof * ( avm (ji,jj,jk+1) + avm (ji,jj,jk ) ) & |
---|
| 541 | & / ( fse3t(ji,jj,jk ) * fse3w(ji,jj,jk) ) |
---|
| 542 | ! diagonal |
---|
| 543 | z_elem_b(ji,jj,jk) = 1. - z_elem_a(ji,jj,jk) - z_elem_c(ji,jj,jk) & |
---|
| 544 | & + rdt * zdiss * tmask(ji,jj,jk) |
---|
| 545 | ! |
---|
| 546 | ! right hand side in psi |
---|
| 547 | psi(ji,jj,jk) = psi(ji,jj,jk) + rdt * zesh2 * tmask(ji,jj,jk) |
---|
| 548 | END DO |
---|
| 549 | END DO |
---|
| 550 | END DO |
---|
| 551 | ! |
---|
| 552 | z_elem_b(:,:,jpk) = 1. |
---|
| 553 | |
---|
| 554 | ! Surface boundary condition on psi |
---|
| 555 | ! --------------------------------- |
---|
| 556 | ! |
---|
| 557 | SELECT CASE ( nn_psibc_surf ) |
---|
| 558 | ! |
---|
| 559 | CASE ( 0 ) ! Dirichlet boundary conditions |
---|
| 560 | ! |
---|
| 561 | IF (ln_crban) THEN ! Wave induced mixing case |
---|
| 562 | ! ! en(1) = q2(1) = 0.5 * (15.8 * Ccb)^(2/3) * u*^2 |
---|
| 563 | ! ! balance between the production and the dissipation terms including the wave effect |
---|
| 564 | ! |
---|
| 565 | zdep(:,:) = rn_l_sf * zhsro(:,:) |
---|
| 566 | psi (:,:,1) = rn_c0**zpp * en(:,:,1)**zmm * zdep(:,:)**znn * tmask(:,:,1) |
---|
| 567 | z_elem_a(:,:,1) = psi(:,:,1) |
---|
| 568 | z_elem_c(:,:,1) = 0. |
---|
| 569 | z_elem_b(:,:,1) = 1. |
---|
| 570 | ! |
---|
| 571 | ! one level below |
---|
[2081] | 572 | zdep(:,:) = ( (zhsro(:,:) + fsdepw(:,:,2))**(zmm*rn_a_sf+znn) ) & |
---|
[2048] | 573 | & / zhsro(:,:)**(zmm*rn_a_sf) |
---|
| 574 | psi (:,:,2) = rn_sbc_psi1 * ustars2(:,:)**zmm * zdep(:,:) * tmask(:,:,1) |
---|
| 575 | z_elem_a(:,:,2) = 0. |
---|
| 576 | z_elem_c(:,:,2) = 0. |
---|
| 577 | z_elem_b(:,:,2) = 1. |
---|
| 578 | ! |
---|
| 579 | ELSE ! No wave induced mixing case |
---|
| 580 | ! ! en(1) = u*^2/C0^2 & l(1) = K*zs |
---|
| 581 | ! ! balance between the production and the dissipation terms |
---|
| 582 | ! |
---|
| 583 | zdep(:,:) = vkarmn * zhsro(:,:) |
---|
| 584 | psi (:,:,1) = rn_c0**zpp * en(:,:,1)**zmm * zdep(:,:)**znn * tmask(:,:,1) |
---|
| 585 | z_elem_a(:,:,1) = psi(:,:,1) |
---|
| 586 | z_elem_c(:,:,1) = 0. |
---|
| 587 | z_elem_b(:,:,1) = 1. |
---|
| 588 | ! |
---|
| 589 | ! one level below |
---|
[2081] | 590 | zdep(:,:) = vkarmn * ( zhsro(:,:) + fsdepw(:,:,2) ) |
---|
[2048] | 591 | psi (:,:,2) = rn_c0**zpp * en(:,:,1)**zmm * zdep(:,:)**znn * tmask(:,:,1) |
---|
| 592 | z_elem_a(:,:,2) = 0. |
---|
| 593 | z_elem_c(:,:,2) = 0. |
---|
| 594 | z_elem_b(:,:,2) = 1. |
---|
| 595 | ! |
---|
| 596 | ENDIF |
---|
| 597 | ! |
---|
| 598 | CASE ( 1 ) ! Neumann boundary condition on d(psi)/dz |
---|
| 599 | ! |
---|
| 600 | IF (ln_crban) THEN ! Wave induced mixing case |
---|
| 601 | ! |
---|
| 602 | zdep(:,:) = rn_l_sf * zhsro(:,:) |
---|
| 603 | psi (:,:,1) = rn_c0**zpp * en(:,:,1)**zmm * zdep(:,:)**znn * tmask(:,:,1) |
---|
| 604 | z_elem_a(:,:,1) = psi(:,:,1) |
---|
| 605 | z_elem_c(:,:,1) = 0. |
---|
| 606 | z_elem_b(:,:,1) = 1. |
---|
| 607 | ! |
---|
| 608 | ! Neumann condition at k=2 |
---|
| 609 | z_elem_b(:,:,2) = z_elem_b(:,:,2) + z_elem_a(:,:,2) ! Remove z_elem_a from z_elem_b |
---|
| 610 | z_elem_a(:,:,2) = 0. |
---|
| 611 | ! |
---|
| 612 | ! Set psi vertical flux at the surface: |
---|
[2081] | 613 | zdep(:,:) = (zhsro(:,:) + fsdept(:,:,1))**(zmm*rn_a_sf+znn-1.) / zhsro(:,:)**(zmm*rn_a_sf) |
---|
[2048] | 614 | zflxs(:,:) = rn_sbc_psi3 * ( zwall_psi(:,:,1)*avm(:,:,1) + zwall_psi(:,:,2)*avm(:,:,2) ) & |
---|
| 615 | & * en(:,:,1)**zmm * zdep |
---|
| 616 | psi(:,:,2) = psi(:,:,2) + zflxs(:,:) / fse3w(:,:,2) |
---|
| 617 | ! |
---|
| 618 | ELSE ! No wave induced mixing |
---|
| 619 | ! |
---|
| 620 | zdep(:,:) = vkarmn * zhsro(:,:) |
---|
| 621 | psi (:,:,1) = rn_c0**zpp * en(:,:,1)**zmm * zdep(:,:)**znn * tmask(:,:,1) |
---|
| 622 | z_elem_a(:,:,1) = psi(:,:,1) |
---|
| 623 | z_elem_c(:,:,1) = 0. |
---|
| 624 | z_elem_b(:,:,1) = 1. |
---|
| 625 | ! |
---|
| 626 | ! Neumann condition at k=2 |
---|
| 627 | z_elem_b(:,:,2) = z_elem_b(:,:,2) + z_elem_a(:,:,2) ! Remove z_elem_a from z_elem_b |
---|
| 628 | z_elem_a(ji,jj,2) = 0. |
---|
| 629 | ! |
---|
| 630 | ! Set psi vertical flux at the surface: |
---|
[2081] | 631 | zdep(:,:) = zhsro(:,:) + fsdept(:,:,1) |
---|
[2048] | 632 | zflxs(:,:) = rn_sbc_psi2 * ( avm(:,:,1) + avm(:,:,2) ) * en(:,:,1)**zmm * zdep**(znn-1.) |
---|
| 633 | psi(:,:,2) = psi(:,:,2) + zflxs(:,:) / fse3w(:,:,2) |
---|
| 634 | ! |
---|
| 635 | ENDIF |
---|
| 636 | ! |
---|
| 637 | END SELECT |
---|
| 638 | |
---|
| 639 | ! Bottom boundary condition on psi |
---|
| 640 | ! -------------------------------- |
---|
| 641 | ! |
---|
| 642 | SELECT CASE ( nn_psibc_bot ) |
---|
| 643 | ! |
---|
| 644 | ! |
---|
| 645 | CASE ( 0 ) ! Dirichlet |
---|
| 646 | ! ! en(ibot) = u*^2 / Co2 and mxln(ibot) = vkarmn * rn_hbro |
---|
| 647 | ! ! Balance between the production and the dissipation terms |
---|
| 648 | !CDIR NOVERRCHK |
---|
| 649 | DO jj = 2, jpjm1 |
---|
| 650 | !CDIR NOVERRCHK |
---|
| 651 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 652 | ibot = mbathy(ji,jj) |
---|
| 653 | ibotm1 = ibot-1 |
---|
| 654 | zdep(ji,jj) = vkarmn * rn_hbro |
---|
| 655 | psi (ji,jj,ibot) = rn_c0**zpp * en(ji,jj,ibot)**zmm * zdep(ji,jj)**znn |
---|
| 656 | z_elem_a(ji,jj,ibot) = 0. |
---|
| 657 | z_elem_c(ji,jj,ibot) = 0. |
---|
| 658 | z_elem_b(ji,jj,ibot) = 1. |
---|
| 659 | ! |
---|
| 660 | ! Just above last level, Dirichlet condition again (GOTM like) |
---|
| 661 | zdep(ji,jj) = vkarmn * (rn_hbro + fse3t(ji,jj,ibotm1)) |
---|
| 662 | psi (ji,jj,ibotm1) = rn_c0**zpp * en(ji,jj,ibot )**zmm * zdep(ji,jj)**znn |
---|
| 663 | z_elem_a(ji,jj,ibotm1) = 0. |
---|
| 664 | z_elem_c(ji,jj,ibotm1) = 0. |
---|
| 665 | z_elem_b(ji,jj,ibotm1) = 1. |
---|
| 666 | END DO |
---|
| 667 | END DO |
---|
| 668 | ! |
---|
| 669 | ! |
---|
| 670 | CASE ( 1 ) ! Neumman boundary condition |
---|
| 671 | ! |
---|
| 672 | !CDIR NOVERRCHK |
---|
| 673 | DO jj = 2, jpjm1 |
---|
| 674 | !CDIR NOVERRCHK |
---|
| 675 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 676 | ibot = mbathy(ji,jj) |
---|
| 677 | ibotm1 = ibot-1 |
---|
| 678 | ! |
---|
| 679 | ! Bottom level Dirichlet condition: |
---|
| 680 | zdep(ji,jj) = vkarmn * rn_hbro |
---|
| 681 | psi (ji,jj,ibot) = rn_c0**zpp * en(ji,jj,ibot)**zmm * zdep(ji,jj)**znn |
---|
| 682 | ! |
---|
| 683 | z_elem_a(ji,jj,ibot) = 0. |
---|
| 684 | z_elem_c(ji,jj,ibot) = 0. |
---|
| 685 | z_elem_b(ji,jj,ibot) = 1. |
---|
| 686 | ! |
---|
| 687 | ! Just above last level: Neumann condition with flux injection |
---|
| 688 | 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 |
---|
| 689 | z_elem_c(ji,jj,ibotm1) = 0. |
---|
| 690 | ! |
---|
| 691 | ! Set psi vertical flux at the bottom: |
---|
| 692 | zdep(ji,jj) = rn_hbro + 0.5*fse3t(ji,jj,ibotm1) |
---|
| 693 | zflxb = rn_sbc_psi2 * ( avm(ji,jj,ibot) + avm(ji,jj,ibotm1) ) * & |
---|
| 694 | & (0.5*(en(ji,jj,ibot)+en(ji,jj,ibotm1)))**zmm * zdep(ji,jj)**(znn-1.) |
---|
| 695 | psi(ji,jj,ibotm1) = psi(ji,jj,ibotm1) + zflxb / fse3w(ji,jj,ibotm1) |
---|
| 696 | END DO |
---|
| 697 | END DO |
---|
| 698 | ! |
---|
| 699 | END SELECT |
---|
| 700 | |
---|
| 701 | ! Matrix inversion |
---|
| 702 | ! ---------------- |
---|
| 703 | ! |
---|
| 704 | DO jk = 2, jpkm1 ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1 |
---|
| 705 | DO jj = 2, jpjm1 |
---|
| 706 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 707 | 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) |
---|
| 708 | END DO |
---|
| 709 | END DO |
---|
| 710 | END DO |
---|
| 711 | DO jk = 2, jpk ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1 |
---|
| 712 | DO jj = 2, jpjm1 |
---|
| 713 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 714 | 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) |
---|
| 715 | END DO |
---|
| 716 | END DO |
---|
| 717 | END DO |
---|
| 718 | DO jk = jpk-1, 2, -1 ! Third recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk |
---|
| 719 | DO jj = 2, jpjm1 |
---|
| 720 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 721 | 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) |
---|
| 722 | END DO |
---|
| 723 | END DO |
---|
| 724 | END DO |
---|
| 725 | |
---|
| 726 | ! Set dissipation |
---|
| 727 | !---------------- |
---|
| 728 | |
---|
| 729 | SELECT CASE ( nn_clos ) |
---|
| 730 | ! |
---|
| 731 | CASE( 0 ) ! k-kl (Mellor-Yamada) |
---|
| 732 | ! |
---|
| 733 | DO jk = 1, jpkm1 |
---|
| 734 | DO jj = 2, jpjm1 |
---|
| 735 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 736 | eps(ji,jj,jk) = rn_c03 * en(ji,jj,jk) * en(ji,jj,jk) * SQRT(en(ji,jj,jk)) / psi(ji,jj,jk) |
---|
| 737 | ENDDO |
---|
| 738 | ENDDO |
---|
| 739 | ENDDO |
---|
| 740 | ! |
---|
| 741 | CASE( 1 ) ! k-eps |
---|
| 742 | ! |
---|
| 743 | DO jk = 1, jpkm1 |
---|
| 744 | DO jj = 2, jpjm1 |
---|
| 745 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 746 | eps(ji,jj,jk) = psi(ji,jj,jk) |
---|
| 747 | ENDDO |
---|
| 748 | ENDDO |
---|
| 749 | ENDDO |
---|
| 750 | ! |
---|
| 751 | CASE( 2 ) ! k-w |
---|
| 752 | ! |
---|
| 753 | DO jk = 1, jpkm1 |
---|
| 754 | DO jj = 2, jpjm1 |
---|
| 755 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 756 | eps(ji,jj,jk) = rn_c04 * en(ji,jj,jk) * psi(ji,jj,jk) |
---|
| 757 | ENDDO |
---|
| 758 | ENDDO |
---|
| 759 | ENDDO |
---|
| 760 | ! |
---|
| 761 | CASE( 3 ) ! gen |
---|
| 762 | ! |
---|
| 763 | DO jk = 1, jpkm1 |
---|
| 764 | DO jj = 2, jpjm1 |
---|
| 765 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 766 | eps(ji,jj,jk) = rn_c0**(3.+zpp/znn) * en(ji,jj,jk)**(1.5+zmm/znn) * psi(ji,jj,jk)**(-1./znn) |
---|
| 767 | ENDDO |
---|
| 768 | ENDDO |
---|
| 769 | ENDDO |
---|
| 770 | ! |
---|
| 771 | END SELECT |
---|
| 772 | |
---|
| 773 | ! Limit dissipation rate under stable stratification |
---|
| 774 | ! -------------------------------------------------- |
---|
| 775 | DO jk = 1, jpkm1 ! Note that this set boundary conditions on mxln at the same time |
---|
| 776 | DO jj = 2, jpjm1 |
---|
| 777 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 778 | ! limitation |
---|
| 779 | eps(ji,jj,jk) = MAX( eps(ji,jj,jk), rn_epsmin ) |
---|
| 780 | mxln(ji,jj,jk) = rn_c03 * en(ji,jj,jk) * SQRT(en(ji,jj,jk)) / eps(ji,jj,jk) |
---|
| 781 | ! Galperin criterium (NOTE : Not required if the proper value of C3 in stable cases is calculated) |
---|
| 782 | zrn2 = MAX( rn2(ji,jj,jk), rsmall ) |
---|
| 783 | mxln(ji,jj,jk) = MIN( clim_galp*SQRT( 2.*en(ji,jj,jk)/zrn2 ), mxln(ji,jj,jk) ) |
---|
| 784 | END DO |
---|
| 785 | END DO |
---|
| 786 | END DO |
---|
| 787 | |
---|
| 788 | ! |
---|
| 789 | ! Stability function and vertical viscosity and diffusivity |
---|
| 790 | ! --------------------------------------------------------- |
---|
| 791 | ! |
---|
| 792 | SELECT CASE ( nn_stab_func ) |
---|
| 793 | ! |
---|
| 794 | CASE ( 0 , 1 ) ! Galperin or Kantha-Clayson stability functions |
---|
| 795 | ! |
---|
| 796 | DO jk = 2, jpkm1 |
---|
| 797 | DO jj = 2, jpjm1 |
---|
| 798 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 799 | ! zcof = l²/q² |
---|
| 800 | zcof = mxlb(ji,jj,jk)**2. / ( 2.*eb(ji,jj,jk) ) |
---|
| 801 | ! Gh = -N²l²/q² |
---|
| 802 | gh = - rn2(ji,jj,jk) * zcof |
---|
| 803 | ! gh = MIN(gh, gh-(gh-rn_ghcri)**2./(gh + rn_gh0 - 2.0*rn_ghcri)) |
---|
| 804 | gh = MIN( gh, rn_gh0 ) |
---|
| 805 | gh = MAX( gh, rn_ghmin ) |
---|
| 806 | ! Stability functions from Kantha and Clayson (if C2=C3=0 => Galperin) |
---|
| 807 | sh = rn_a2*( 1.-6.*rn_a1/rn_b1 ) / ( 1.-3.*rn_a2*gh*(6.*rn_a1+rn_b2*( 1.-rn_c3 ) ) ) |
---|
| 808 | sm = ( rn_b1**(-1./3.) + ( 18*rn_a1*rn_a1 + 9.*rn_a1*rn_a2*(1.-rn_c2) )*sh*gh ) / (1.-9.*rn_a1*rn_a2*gh) |
---|
| 809 | ! |
---|
| 810 | ! Store stability function in avmu and avmv |
---|
| 811 | avmu(ji,jj,jk) = rn_c_diff * sh * tmask(ji,jj,jk) |
---|
| 812 | avmv(ji,jj,jk) = rn_c_diff * sm * tmask(ji,jj,jk) |
---|
| 813 | END DO |
---|
| 814 | END DO |
---|
| 815 | END DO |
---|
| 816 | ! |
---|
| 817 | CASE ( 2, 3 ) ! Canuto stability functions |
---|
| 818 | ! |
---|
| 819 | DO jk = 2, jpkm1 |
---|
| 820 | DO jj = 2, jpjm1 |
---|
| 821 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 822 | ! zcof = l²/q² |
---|
| 823 | zcof = mxlb(ji,jj,jk)**2. / ( 2.*eb(ji,jj,jk) ) |
---|
| 824 | ! Gh = -N²l²/q² |
---|
| 825 | gh = - rn2(ji,jj,jk) * zcof |
---|
| 826 | ! gh = MIN(gh, gh-(gh-rn_ghcri)**2./(gh + rn_gh0 - 2.0*rn_ghcri)) |
---|
| 827 | gh = MIN( gh, rn_gh0 ) |
---|
| 828 | gh = MAX( gh, rn_ghmin ) |
---|
| 829 | gh = gh*rn_f6 |
---|
| 830 | ! Gm = M²l²/q² Shear number |
---|
| 831 | shr = shear(ji,jj,jk)/MAX(avm(ji,jj,jk), rsmall) |
---|
| 832 | gm = shr * zcof |
---|
| 833 | gm = MAX(gm, 1.e-10) |
---|
| 834 | gm = gm*rn_f6 |
---|
| 835 | gm = MIN ( (rn_d0 - rn_d1*gh + rn_d3*gh**2.)/(rn_d2-rn_d4*gh) , gm ) |
---|
| 836 | ! Stability functions from Canuto |
---|
| 837 | rn_cff = rn_d0 - rn_d1*gh +rn_d2*gm + rn_d3*gh**2. - rn_d4*gh*gm + rn_d5*gm**2. |
---|
| 838 | sm = (rn_s0 - rn_s1*gh + rn_s2*gm) / rn_cff |
---|
| 839 | sh = (rn_s4 - rn_s5*gh + rn_s6*gm) / rn_cff |
---|
| 840 | ! |
---|
| 841 | ! Store stability function in avmu and avmv |
---|
| 842 | avmu(ji,jj,jk) = rn_c_diff * sh * tmask(ji,jj,jk) |
---|
| 843 | avmv(ji,jj,jk) = rn_c_diff * sm * tmask(ji,jj,jk) |
---|
| 844 | END DO |
---|
| 845 | END DO |
---|
| 846 | END DO |
---|
| 847 | ! |
---|
| 848 | END SELECT |
---|
| 849 | |
---|
| 850 | ! Boundary conditions on stability functions for momentum (Neumann): |
---|
| 851 | ! Lines below are useless if GOTM style Dirichlet conditions are used |
---|
| 852 | DO jj = 2, jpjm1 |
---|
| 853 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 854 | avmv(ji,jj,1) = rn_cm_sf / SQRT(2.) |
---|
| 855 | END DO |
---|
| 856 | END DO |
---|
| 857 | DO jj = 2, jpjm1 |
---|
| 858 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 859 | ibot=mbathy(ji,jj) |
---|
| 860 | ibotm1=ibot-1 |
---|
| 861 | avmv(ji,jj,ibot) = rn_c0 / SQRT(2.) |
---|
| 862 | END DO |
---|
| 863 | END DO |
---|
| 864 | |
---|
| 865 | ! Compute diffusivities/viscosities |
---|
| 866 | ! The computation below could be restrained to jk=2 to jpkm1 if GOTM style Dirichlet conditions are used |
---|
| 867 | DO jk = 1, jpk |
---|
| 868 | DO jj = 2, jpjm1 |
---|
| 869 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 870 | zsqen = SQRT(2.*en(ji,jj,jk)) * mxln(ji,jj,jk) |
---|
| 871 | zav = zsqen * avmu(ji,jj,jk) |
---|
| 872 | avt(ji,jj,jk) = MAX(zav,avtb(jk))*tmask(ji,jj,jk) ! apply mask for zdfmxl routine |
---|
| 873 | zav = zsqen * avmv(ji,jj,jk) |
---|
| 874 | avm(ji,jj,jk) = MAX(zav,avmb(jk)) ! Note that avm is not masked at the surface and the bottom |
---|
| 875 | END DO |
---|
| 876 | END DO |
---|
| 877 | END DO |
---|
| 878 | |
---|
| 879 | ! |
---|
| 880 | ! Lateral boundary conditions (sign unchanged) |
---|
| 881 | ! |
---|
| 882 | avt(:,:,1) = 0. |
---|
| 883 | CALL lbc_lnk( avm, 'W', 1. ) ; CALL lbc_lnk( avt, 'W', 1. ) |
---|
| 884 | |
---|
| 885 | DO jk = 2, jpkm1 !* vertical eddy viscosity at u- and v-points |
---|
| 886 | DO jj = 2, jpjm1 |
---|
| 887 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 888 | avmu(ji,jj,jk) = ( avm (ji,jj,jk)*tmask(ji,jj,jk) + avm (ji+1,jj ,jk)*tmask(ji+1,jj ,jk) ) * umask(ji,jj,jk) & |
---|
| 889 | & / MAX( 1., tmask(ji,jj,jk) + tmask(ji+1,jj ,jk) ) |
---|
| 890 | avmv(ji,jj,jk) = ( avm (ji,jj,jk)*tmask(ji,jj,jk) + avm (ji ,jj+1,jk)*tmask(ji ,jj+1,jk) ) * vmask(ji,jj,jk) & |
---|
| 891 | & / MAX( 1., tmask(ji,jj,jk) + tmask(ji ,jj+1,jk) ) |
---|
| 892 | END DO |
---|
| 893 | END DO |
---|
| 894 | END DO |
---|
| 895 | |
---|
| 896 | avmu(:,:,1) = 0. |
---|
| 897 | avmv(:,:,1) = 0. |
---|
| 898 | |
---|
| 899 | CALL lbc_lnk( avmu, 'U', 1. ) ; CALL lbc_lnk( avmv, 'V', 1. ) ! Lateral boundary conditions |
---|
| 900 | |
---|
| 901 | IF(ln_ctl) THEN |
---|
| 902 | CALL prt_ctl( tab3d_1=en , clinfo1=' gls - e: ', tab3d_2=avt, clinfo2=' t: ', ovlap=1, kdim=jpk) |
---|
| 903 | CALL prt_ctl( tab3d_1=avmu, clinfo1=' gls - u: ', mask1=umask, & |
---|
| 904 | & tab3d_2=avmv, clinfo2= ' v: ', mask2=vmask, ovlap=1, kdim=jpk ) |
---|
| 905 | ENDIF |
---|
| 906 | ! |
---|
| 907 | END SUBROUTINE zdf_gls |
---|
| 908 | |
---|
| 909 | SUBROUTINE zdf_gls_init |
---|
| 910 | !!---------------------------------------------------------------------- |
---|
| 911 | !! *** ROUTINE zdf_gls_init *** |
---|
| 912 | !! |
---|
| 913 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
---|
| 914 | !! viscosity when using a gls turbulent closure scheme |
---|
| 915 | !! |
---|
| 916 | !! ** Method : Read the namzdf_gls namelist and check the parameters |
---|
| 917 | !! called at the first timestep (nit000) |
---|
| 918 | !! |
---|
| 919 | !! ** input : Namlist namzdf_gls |
---|
| 920 | !! |
---|
| 921 | !! ** Action : Increase by 1 the nstop flag is setting problem encounter |
---|
| 922 | !! |
---|
| 923 | !!---------------------------------------------------------------------- |
---|
| 924 | USE dynzdf_exp |
---|
| 925 | USE trazdf_exp |
---|
| 926 | ! |
---|
| 927 | # if defined key_vectopt_memory |
---|
| 928 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 929 | # else |
---|
| 930 | INTEGER :: jk ! dummy loop indices |
---|
| 931 | # endif |
---|
| 932 | REAL(wp):: zcr |
---|
| 933 | !! |
---|
| 934 | NAMELIST/namzdf_gls/rn_emin, rn_epsmin, ln_length_lim, & |
---|
| 935 | & clim_galp, ln_crban, ln_sigpsi, & |
---|
| 936 | & rn_crban, rn_charn, & |
---|
| 937 | & nn_tkebc_surf, nn_tkebc_bot, & |
---|
| 938 | & nn_psibc_surf, nn_psibc_bot, & |
---|
| 939 | & nn_stab_func, nn_clos |
---|
| 940 | !!---------------------------------------------------------- |
---|
| 941 | |
---|
| 942 | ! Read Namelist namzdf_gls |
---|
| 943 | ! ------------------------ |
---|
| 944 | REWIND ( numnam ) |
---|
| 945 | READ ( numnam, namzdf_gls ) |
---|
| 946 | |
---|
| 947 | ! Parameter control and print |
---|
| 948 | ! --------------------------- |
---|
| 949 | ! Control print |
---|
| 950 | IF(lwp) THEN |
---|
| 951 | WRITE(numout,*) |
---|
| 952 | WRITE(numout,*) 'zdf_gls_init : gls turbulent closure scheme' |
---|
| 953 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
| 954 | WRITE(numout,*) ' Namelist namzdf_gls : set gls mixing parameters' |
---|
| 955 | WRITE(numout,*) ' minimum value of en rn_emin = ', rn_emin |
---|
| 956 | WRITE(numout,*) ' minimum value of eps rn_epsmin = ', rn_epsmin |
---|
| 957 | WRITE(numout,*) ' Surface roughness (m) hsro = ', hsro |
---|
| 958 | WRITE(numout,*) ' Bottom roughness (m) rn_hbro = ', rn_hbro |
---|
| 959 | WRITE(numout,*) ' Limit dissipation rate under stable stratification ln_length_lim = ',ln_length_lim |
---|
| 960 | WRITE(numout,*) ' Galperin length scale limitation coef (Standard: 0.53, Holt: 0.26) clim_galp = ', clim_galp |
---|
| 961 | WRITE(numout,*) ' TKE Surface boundary condition nn_tkebc_surf = ', nn_tkebc_surf |
---|
| 962 | WRITE(numout,*) ' TKE Bottom boundary condition nn_tkebc_bot = ', nn_tkebc_bot |
---|
| 963 | WRITE(numout,*) ' PSI Surface boundary condition nn_psibc_surf = ', nn_psibc_surf |
---|
| 964 | WRITE(numout,*) ' PSI Bottom boundary condition nn_psibc_bot = ', nn_psibc_bot |
---|
| 965 | WRITE(numout,*) ' Craig and Banner scheme ln_crban = ', ln_crban |
---|
| 966 | WRITE(numout,*) ' Modify psi Schmidt number (wb case) ln_sigpsi = ', ln_sigpsi |
---|
| 967 | WRITE(numout,*) ' Craig and Banner coef. rn_crban = ', rn_crban |
---|
| 968 | WRITE(numout,*) ' Charnock coef. rn_charn = ', rn_charn |
---|
| 969 | WRITE(numout,*) ' Stability functions nn_stab_func = ',nn_stab_func |
---|
| 970 | WRITE(numout,*) ' Closure nn_clos = ',nn_clos |
---|
| 971 | WRITE(numout,*) |
---|
| 972 | ENDIF |
---|
| 973 | |
---|
| 974 | ! Check of some namelist values |
---|
| 975 | IF( nn_tkebc_surf < 0 .OR. nn_tkebc_surf > 1 ) CALL ctl_stop( 'bad flag: nn_tkebc_surf is 0 or 1' ) |
---|
| 976 | IF( nn_psibc_surf < 0 .OR. nn_psibc_surf > 1 ) CALL ctl_stop( 'bad flag: nn_psibc_surf is 0 or 1' ) |
---|
| 977 | IF( nn_tkebc_bot < 0 .OR. nn_tkebc_bot > 1 ) CALL ctl_stop( 'bad flag: nn_tkebc_bot is 0 or 1' ) |
---|
| 978 | IF( nn_psibc_bot < 0 .OR. nn_psibc_bot > 1 ) CALL ctl_stop( 'bad flag: nn_psibc_bot is 0 or 1' ) |
---|
| 979 | IF( nn_stab_func < 0 .OR. nn_stab_func > 3) CALL ctl_stop( 'bad flag: nn_stab_func is 0, 1, 2 and 3' ) |
---|
| 980 | IF( nn_clos < 0 .OR. nn_clos > 3) CALL ctl_stop( 'bad flag: nn_clos is 0, 1, 2 or 3' ) |
---|
| 981 | |
---|
| 982 | ! Initialisation of the parameters for the choosen closure |
---|
| 983 | ! -------------------------------------------------------- |
---|
| 984 | ! |
---|
| 985 | SELECT CASE ( nn_clos ) |
---|
| 986 | ! |
---|
| 987 | CASE( 0 ) ! k-kl (Mellor-Yamada) |
---|
| 988 | ! |
---|
| 989 | IF(lwp) WRITE(numout,*) 'The choosen closure is k-kl closed to the classical Mellor-Yamada' |
---|
| 990 | zpp = 0. |
---|
| 991 | zmm = 1. |
---|
| 992 | znn = 1. |
---|
| 993 | rn_sc_tke = 1.96 |
---|
| 994 | rn_sc_psi = 1.96 |
---|
| 995 | rn_psi1 = 0.9 |
---|
| 996 | rn_psi3p = 1. |
---|
| 997 | rn_psi2 = 0.5 |
---|
| 998 | ! |
---|
| 999 | SELECT CASE ( nn_stab_func ) |
---|
| 1000 | ! |
---|
| 1001 | CASE( 0, 1 ) ! G88 or KC stability functions |
---|
| 1002 | rn_psi3m = 2.53 |
---|
| 1003 | CASE( 2 ) ! Canuto A stability functions |
---|
| 1004 | rn_psi3m = 2.38 |
---|
| 1005 | CASE( 3 ) ! Canuto B stability functions |
---|
| 1006 | rn_psi3m = 2.38 ! caution : constant not identified |
---|
| 1007 | END SELECT |
---|
| 1008 | ! |
---|
| 1009 | CASE( 1 ) ! k-eps |
---|
| 1010 | ! |
---|
| 1011 | IF(lwp) WRITE(numout,*) 'The choosen closure is k-eps' |
---|
| 1012 | zpp = 3. |
---|
| 1013 | zmm = 1.5 |
---|
| 1014 | znn = -1. |
---|
| 1015 | rn_sc_tke = 1. |
---|
| 1016 | rn_sc_psi = 1.3 ! Schmidt number for psi |
---|
| 1017 | rn_psi1 = 1.44 |
---|
| 1018 | rn_psi3p = 1. |
---|
| 1019 | rn_psi2 = 1.92 |
---|
| 1020 | ! |
---|
| 1021 | SELECT CASE ( nn_stab_func ) |
---|
| 1022 | ! |
---|
| 1023 | CASE( 0, 1 ) ! G88 or KC stability functions |
---|
| 1024 | rn_psi3m = -0.52 |
---|
| 1025 | CASE( 2 ) ! Canuto A stability functions |
---|
| 1026 | rn_psi3m = -0.629 |
---|
| 1027 | CASE( 3 ) ! Canuto B stability functions |
---|
| 1028 | rn_psi3m = -0.566 |
---|
| 1029 | END SELECT |
---|
| 1030 | ! |
---|
| 1031 | CASE( 2 ) ! k-omega |
---|
| 1032 | ! |
---|
| 1033 | IF(lwp) WRITE(numout,*) 'The choosen closure is k-omega' |
---|
| 1034 | zpp = -1. |
---|
| 1035 | zmm = 0.5 |
---|
| 1036 | znn = -1. |
---|
| 1037 | rn_sc_tke = 2. |
---|
| 1038 | rn_sc_psi = 2. |
---|
| 1039 | rn_psi1 = 0.555 |
---|
| 1040 | rn_psi3p = 1. |
---|
| 1041 | rn_psi2 = 0.833 |
---|
| 1042 | ! |
---|
| 1043 | SELECT CASE ( nn_stab_func ) |
---|
| 1044 | ! |
---|
| 1045 | CASE( 0, 1 ) ! G88 or KC stability functions |
---|
| 1046 | rn_psi3m = -0.58 |
---|
| 1047 | CASE( 2 ) ! Canuto A stability functions |
---|
| 1048 | rn_psi3m = -0.64 |
---|
| 1049 | CASE( 3 ) ! Canuto B stability functions |
---|
| 1050 | rn_psi3m = -0.64 ! caution : constant not identified |
---|
| 1051 | END SELECT |
---|
| 1052 | ! |
---|
| 1053 | CASE( 3 ) ! gen |
---|
| 1054 | ! |
---|
| 1055 | IF(lwp) WRITE(numout,*) 'The choosen closure is generic' |
---|
| 1056 | zpp = 2. |
---|
| 1057 | zmm = 1. |
---|
| 1058 | znn = -0.67 |
---|
| 1059 | rn_sc_tke = 0.8 |
---|
| 1060 | rn_sc_psi = 1.07 |
---|
| 1061 | rn_psi1 = 1. |
---|
| 1062 | rn_psi3p = 1. |
---|
| 1063 | rn_psi2 = 1.22 |
---|
| 1064 | ! |
---|
| 1065 | SELECT CASE ( nn_stab_func ) |
---|
| 1066 | ! |
---|
| 1067 | CASE( 0, 1 ) ! G88 or KC stability functions |
---|
| 1068 | rn_psi3m = 0.1 |
---|
| 1069 | CASE( 2 ) ! Canuto A stability functions |
---|
| 1070 | rn_psi3m = 0.05 |
---|
| 1071 | CASE( 3 ) ! Canuto B stability functions |
---|
| 1072 | rn_psi3m = 0.05 ! caution : constant not identified |
---|
| 1073 | END SELECT |
---|
| 1074 | ! |
---|
| 1075 | END SELECT |
---|
| 1076 | |
---|
| 1077 | ! Initialisation of the parameters of the stability functions |
---|
| 1078 | ! ----------------------------------------------------------- |
---|
| 1079 | ! |
---|
| 1080 | SELECT CASE ( nn_stab_func ) |
---|
| 1081 | ! |
---|
| 1082 | CASE ( 0 ) ! Galperin stability functions |
---|
| 1083 | ! |
---|
| 1084 | IF(lwp) WRITE(numout,*) 'Stability functions from Galperin' |
---|
| 1085 | rn_c2 = 0. |
---|
| 1086 | rn_c3 = 0. |
---|
| 1087 | rn_c_diff = 1. |
---|
| 1088 | rn_c0 = 0.5544 |
---|
| 1089 | rn_cm_sf = 0.9884 |
---|
| 1090 | rn_ghmin = -0.28 |
---|
| 1091 | rn_gh0 = 0.0233 |
---|
| 1092 | rn_ghcri = 0.02 |
---|
| 1093 | ! |
---|
| 1094 | CASE ( 1 ) ! Kantha-Clayson stability functions |
---|
| 1095 | ! |
---|
| 1096 | IF(lwp) WRITE(numout,*) 'Stability functions from Kantha-Clayson' |
---|
| 1097 | rn_c2 = 0.7 |
---|
| 1098 | rn_c3 = 0.2 |
---|
| 1099 | rn_c_diff = 1. |
---|
| 1100 | rn_c0 = 0.5544 |
---|
| 1101 | rn_cm_sf = 0.9884 |
---|
| 1102 | rn_ghmin = -0.28 |
---|
| 1103 | rn_gh0 = 0.0233 |
---|
| 1104 | rn_ghcri = 0.02 |
---|
| 1105 | ! |
---|
| 1106 | CASE ( 2 ) ! Canuto A stability functions |
---|
| 1107 | ! |
---|
| 1108 | IF(lwp) WRITE(numout,*) 'Stability functions from Canuto A' |
---|
| 1109 | rn_s0 = 1.5*rn_l1*rn_l5**2. |
---|
| 1110 | rn_s1 = -rn_l4*(rn_l6+rn_l7) + 2.*rn_l4*rn_l5*(rn_l1-(1./3.)*rn_l2-rn_l3)+1.5*rn_l1*rn_l5*rn_l8 |
---|
| 1111 | rn_s2 = -(3./8.)*rn_l1*(rn_l6**2.-rn_l7**2.) |
---|
| 1112 | rn_s4 = 2.*rn_l5 |
---|
| 1113 | rn_s5 = 2.*rn_l4 |
---|
| 1114 | rn_s6 = (2./3.)*rn_l5*(3.*rn_l3**2.-rn_l2**2.)-0.5*rn_l5*rn_l1*(3.*rn_l3-rn_l2)+0.75*rn_l1*(rn_l6-rn_l7) |
---|
| 1115 | rn_d0 = 3*rn_l5**2. |
---|
| 1116 | rn_d1 = rn_l5*(7.*rn_l4+3.*rn_l8) |
---|
| 1117 | rn_d2 = rn_l5**2.*(3.*rn_l3**2.-rn_l2**2.)-0.75*(rn_l6**2.-rn_l7**2.) |
---|
| 1118 | rn_d3 = rn_l4*(4.*rn_l4+3.*rn_l8) |
---|
| 1119 | rn_d4 = rn_l4*(rn_l2*rn_l6-3.*rn_l3*rn_l7-rn_l5*(rn_l2**2.-rn_l3**2.))+rn_l5*rn_l8*(3.*rn_l3**2.-rn_l2**2.) |
---|
| 1120 | rn_d5 = 0.25*(rn_l2**2.-3.*rn_l3**2.)*(rn_l6**2.-rn_l7**2.) |
---|
| 1121 | rn_c0 = 0.5268 |
---|
| 1122 | rn_f6 = 8. / (rn_c0**6.) |
---|
| 1123 | rn_c_diff = SQRT(2.)/(rn_c0**3.) |
---|
| 1124 | rn_cm_sf = 0.7310 |
---|
| 1125 | rn_ghmin = -0.28 |
---|
| 1126 | rn_gh0 = 0.0329 |
---|
| 1127 | rn_ghcri = 0.03 |
---|
| 1128 | ! |
---|
| 1129 | CASE ( 3 ) ! Canuto B stability functions |
---|
| 1130 | ! |
---|
| 1131 | IF(lwp) WRITE(numout,*) 'Stability functions from Canuto B' |
---|
| 1132 | rn_s0 = 1.5*rn_m1*rn_m5**2. |
---|
| 1133 | rn_s1 = -rn_m4*(rn_m6+rn_m7) + 2.*rn_m4*rn_m5*(rn_m1-(1./3.)*rn_m2-rn_m3)+1.5*rn_m1*rn_m5*rn_m8 |
---|
| 1134 | rn_s2 = -(3./8.)*rn_m1*(rn_m6**2.-rn_m7**2.) |
---|
| 1135 | rn_s4 = 2.*rn_m5 |
---|
| 1136 | rn_s5 = 2.*rn_m4 |
---|
| 1137 | rn_s6 = (2./3.)*rn_m5*(3.*rn_m3**2.-rn_m2**2.)-0.5*rn_m5*rn_m1*(3.*rn_m3-rn_m2)+0.75*rn_m1*(rn_m6-rn_m7) |
---|
| 1138 | rn_d0 = 3*rn_m5**2. |
---|
| 1139 | rn_d1 = rn_m5*(7.*rn_m4+3.*rn_m8) |
---|
| 1140 | rn_d2 = rn_m5**2.*(3.*rn_m3**2.-rn_m2**2.)-0.75*(rn_m6**2.-rn_m7**2.) |
---|
| 1141 | rn_d3 = rn_m4*(4.*rn_m4+3.*rn_m8) |
---|
| 1142 | rn_d4 = rn_m4*(rn_m2*rn_m6-3.*rn_m3*rn_m7-rn_m5*(rn_m2**2.-rn_m3**2.))+rn_m5*rn_m8*(3.*rn_m3**2.-rn_m2**2.) |
---|
| 1143 | rn_d5 = 0.25*(rn_m2**2.-3.*rn_m3**2.)*(rn_m6**2.-rn_m7**2.) |
---|
| 1144 | rn_c0 = 0.5268 !! rn_c0 = 0.5540 (Warner ...) to verify ! |
---|
| 1145 | rn_f6 = 8. / (rn_c0**6.) |
---|
| 1146 | rn_c_diff = SQRT(2.)/(rn_c0**3.) |
---|
| 1147 | rn_cm_sf = 0.7470 |
---|
| 1148 | rn_ghmin = -0.28 |
---|
| 1149 | rn_gh0 = 0.0444 |
---|
| 1150 | rn_ghcri = 0.0414 |
---|
| 1151 | ! |
---|
| 1152 | END SELECT |
---|
| 1153 | |
---|
| 1154 | ! Set Schmidt number for psi diffusion |
---|
| 1155 | ! In the wave breaking case |
---|
| 1156 | ! See equation 13 of Carniel et al, Ocean modelling, 30, 225-239, 2009 |
---|
| 1157 | ! or equation (17) of Burchard, JPO, 31, 3133-3145, 2001 |
---|
| 1158 | IF ((ln_sigpsi).AND.(ln_crban)) THEN |
---|
| 1159 | zcr = SQRT(1.5*rn_sc_tke) * rn_cm_sf /vkarmn |
---|
| 1160 | rn_sc_psi0 = vkarmn**2/(rn_psi2*rn_cm_sf**2) * & |
---|
| 1161 | & ( znn**2 - 4./3.*zcr*znn*zmm - 1./3.*zcr*znn & |
---|
| 1162 | & + 2./9.*zmm*zcr**2 + 4./9.*zcr**2*zmm**2) |
---|
| 1163 | ELSE |
---|
| 1164 | rn_sc_psi0 = rn_sc_psi |
---|
| 1165 | ENDIF |
---|
| 1166 | |
---|
| 1167 | ! Shear free turbulence parameters: |
---|
| 1168 | ! |
---|
| 1169 | rn_a_sf = -4.*znn*SQRT(rn_sc_tke) / ( (1.+4.*zmm)*SQRT(rn_sc_tke) & |
---|
| 1170 | & - SQRT(rn_sc_tke + 24.*rn_sc_psi0*rn_psi2 ) ) |
---|
| 1171 | rn_l_sf = rn_c0 * SQRT(rn_c0/rn_cm_sf) * SQRT( ( (1. + 4.*zmm + 8.*zmm**2)*rn_sc_tke & |
---|
| 1172 | & + 12. * rn_sc_psi0*rn_psi2 - (1. + 4.*zmm) & |
---|
| 1173 | & *SQRT(rn_sc_tke*(rn_sc_tke & |
---|
| 1174 | & + 24.*rn_sc_psi0*rn_psi2)) ) & |
---|
| 1175 | & /(12.*znn**2.) & |
---|
| 1176 | & ) |
---|
| 1177 | |
---|
| 1178 | ! Control print |
---|
| 1179 | ! |
---|
| 1180 | IF(lwp) THEN |
---|
| 1181 | WRITE(numout,*) |
---|
| 1182 | WRITE(numout,*) 'Limit values' |
---|
| 1183 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
| 1184 | WRITE(numout,*) 'Parameter m = ',zmm |
---|
| 1185 | WRITE(numout,*) 'Parameter n = ',znn |
---|
| 1186 | WRITE(numout,*) 'Parameter p = ',zpp |
---|
| 1187 | WRITE(numout,*) 'rn_psi1 = ',rn_psi1 |
---|
| 1188 | WRITE(numout,*) 'rn_psi2 = ',rn_psi2 |
---|
| 1189 | WRITE(numout,*) 'rn_psi3m = ',rn_psi3m |
---|
| 1190 | WRITE(numout,*) 'rn_psi3p = ',rn_psi3p |
---|
| 1191 | WRITE(numout,*) 'rn_sc_tke = ',rn_sc_tke |
---|
| 1192 | WRITE(numout,*) 'rn_sc_psi = ',rn_sc_psi |
---|
| 1193 | WRITE(numout,*) 'rn_sc_psi0 = ',rn_sc_psi0 |
---|
| 1194 | WRITE(numout,*) 'rn_c0 = ',rn_c0 |
---|
| 1195 | WRITE(numout,*) |
---|
| 1196 | WRITE(numout,*) 'Shear free turbulence parameters:' |
---|
| 1197 | WRITE(numout,*) 'rn_cm_sf = ',rn_cm_sf |
---|
| 1198 | WRITE(numout,*) 'rn_a_sf = ',rn_a_sf |
---|
| 1199 | WRITE(numout,*) 'rn_l_sf = ',rn_l_sf |
---|
| 1200 | WRITE(numout,*) |
---|
| 1201 | ENDIF |
---|
| 1202 | |
---|
| 1203 | ! Constants initialization |
---|
| 1204 | rn_c02r = 1. / rn_c0**2. |
---|
| 1205 | rn_c02 = rn_c0**2._wp |
---|
| 1206 | rn_c03 = rn_c0**3._wp |
---|
| 1207 | rn_c04 = rn_c0**4._wp |
---|
| 1208 | rn_c03_sqrt2_galp = rn_c03 / SQRT(2._wp) / clim_galp |
---|
| 1209 | rn_sbc_mb = 0.5 * (15.8*rn_crban)**(2./3.) ! Surf. bound. cond. from Mellor and Blumberg |
---|
| 1210 | rn_sbc_std = 3.75 ! Surf. bound. cond. standard (prod=diss) |
---|
| 1211 | rn_sbc_tke1 = (-rn_sc_tke*rn_crban/(rn_cm_sf*rn_a_sf*rn_l_sf))**(2./3.) ! k_eps = 53. Dirichlet + Wave breaking |
---|
| 1212 | rn_sbc_tke2 = 0.5 / rau0 |
---|
| 1213 | rn_sbc_tke3 = rdt * rn_crban ! Neumann + Wave breaking |
---|
| 1214 | rn_sbc_zs = rn_charn/grav ! Charnock formula |
---|
| 1215 | rn_sbc_psi1 = rn_c0**zpp * rn_sbc_tke1**zmm * rn_l_sf**znn ! Dirichlet + Wave breaking |
---|
| 1216 | rn_sbc_psi2 = -0.5 * rdt * rn_c0**zpp * znn * vkarmn**znn / rn_sc_psi ! Neumann + NO Wave breaking |
---|
| 1217 | rn_sbc_psi3 = -0.5 * rdt * rn_c0**zpp * rn_l_sf**znn / rn_sc_psi * (znn + zmm*rn_a_sf) ! Neumann + Wave breaking |
---|
| 1218 | zfact_tke = -0.5 / rn_sc_tke * rdt ! Cst used for the Diffusion term of tke |
---|
| 1219 | zfact_psi = -0.5 / rn_sc_psi * rdt ! Cst used for the Diffusion term of tke |
---|
| 1220 | |
---|
| 1221 | ! Wall proximity function |
---|
| 1222 | zwall (:,:,:) = 1._wp * tmask(:,:,:) |
---|
| 1223 | |
---|
| 1224 | ! !* set vertical eddy coef. to the background value |
---|
| 1225 | DO jk = 1, jpk |
---|
| 1226 | avt (:,:,jk) = avtb(jk) * tmask(:,:,jk) |
---|
| 1227 | avm (:,:,jk) = avmb(jk) * tmask(:,:,jk) |
---|
| 1228 | avmu(:,:,jk) = avmb(jk) * umask(:,:,jk) |
---|
| 1229 | avmv(:,:,jk) = avmb(jk) * vmask(:,:,jk) |
---|
| 1230 | END DO |
---|
| 1231 | ! !* read or initialize all required files |
---|
| 1232 | CALL gls_rst( nit000, 'READ' ) |
---|
| 1233 | ! |
---|
| 1234 | END SUBROUTINE zdf_gls_init |
---|
| 1235 | |
---|
| 1236 | SUBROUTINE gls_rst( kt, cdrw ) |
---|
| 1237 | !!--------------------------------------------------------------------- |
---|
| 1238 | !! *** ROUTINE ts_rst *** |
---|
| 1239 | !! |
---|
| 1240 | !! ** Purpose : Read or write TKE file (en) in restart file |
---|
| 1241 | !! |
---|
| 1242 | !! ** Method : use of IOM library |
---|
| 1243 | !! if the restart does not contain TKE, en is either |
---|
| 1244 | !! set to rn_emin or recomputed (nn_igls/=0) |
---|
| 1245 | !!---------------------------------------------------------------------- |
---|
| 1246 | INTEGER , INTENT(in) :: kt ! ocean time-step |
---|
| 1247 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
---|
| 1248 | ! |
---|
| 1249 | INTEGER :: jit, jk ! dummy loop indices |
---|
| 1250 | INTEGER :: id1, id2, id3, id4, id5, id6, id7, id8 |
---|
| 1251 | INTEGER :: ji, jj, ikbu, ikbv, ikbum1, ikbvm1 |
---|
| 1252 | REAL(wp):: cbx, cby |
---|
| 1253 | !!---------------------------------------------------------------------- |
---|
| 1254 | ! |
---|
| 1255 | IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialise |
---|
| 1256 | ! ! --------------- |
---|
| 1257 | IF( ln_rstart ) THEN !* Read the restart file |
---|
| 1258 | id1 = iom_varid( numror, 'en' , ldstop = .FALSE. ) |
---|
| 1259 | id2 = iom_varid( numror, 'avt' , ldstop = .FALSE. ) |
---|
| 1260 | id3 = iom_varid( numror, 'avm' , ldstop = .FALSE. ) |
---|
| 1261 | id4 = iom_varid( numror, 'avmu' , ldstop = .FALSE. ) |
---|
| 1262 | id5 = iom_varid( numror, 'avmv' , ldstop = .FALSE. ) |
---|
| 1263 | id6 = iom_varid( numror, 'mxln' , ldstop = .FALSE. ) |
---|
| 1264 | id7 = iom_varid( numror, 'wbotu', ldstop = .FALSE. ) |
---|
| 1265 | id8 = iom_varid( numror, 'wbotv', ldstop = .FALSE. ) |
---|
| 1266 | ! |
---|
| 1267 | IF( MIN( id1, id2, id3, id4, id5, id6, id7, id8 ) > 0 ) THEN ! all required arrays exist |
---|
| 1268 | CALL iom_get( numror, jpdom_autoglo, 'en' , en ) |
---|
| 1269 | CALL iom_get( numror, jpdom_autoglo, 'avt' , avt ) |
---|
| 1270 | CALL iom_get( numror, jpdom_autoglo, 'avm' , avm ) |
---|
| 1271 | CALL iom_get( numror, jpdom_autoglo, 'avmu' , avmu ) |
---|
| 1272 | CALL iom_get( numror, jpdom_autoglo, 'avmv' , avmv ) |
---|
| 1273 | CALL iom_get( numror, jpdom_autoglo, 'mxln' , mxln ) |
---|
| 1274 | CALL iom_get( numror, jpdom_autoglo, 'wbotu' , wbotu ) |
---|
| 1275 | CALL iom_get( numror, jpdom_autoglo, 'wbotv' , wbotv ) |
---|
| 1276 | ELSE |
---|
| 1277 | IF(lwp) WRITE(numout,*) ' ===>>>> : previous run without gls scheme, en and mxln computed by iterative loop' |
---|
| 1278 | IF(lwp) WRITE(numout,*) ' ===>>>> : The bottom stresses are estimated' |
---|
| 1279 | en (:,:,:) = rn_emin |
---|
| 1280 | mxln(:,:,:) = 0.001 |
---|
| 1281 | ! Initialize bottom stresses |
---|
| 1282 | DO jj = 2, jpjm1 |
---|
| 1283 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1284 | ikbu = MIN( mbathy(ji+1,jj ), mbathy(ji,jj) ) |
---|
| 1285 | ikbum1 = MAX( ikbu-1, 1 ) |
---|
| 1286 | ikbv = MIN( mbathy(ji,jj+1), mbathy(ji,jj) ) |
---|
| 1287 | ikbvm1 = MAX( ikbv-1, 1 ) |
---|
| 1288 | cbx = avmu(ji,jj,ikbu) / fse3uw(ji,jj,ikbu) |
---|
| 1289 | cby = avmv(ji,jj,ikbv) / fse3vw(ji,jj,ikbv) |
---|
| 1290 | wbotu(ji,jj) = -cbx * un(ji,jj,ikbum1)*umask(ji,jj,1) |
---|
| 1291 | wbotv(ji,jj) = -cby * vn(ji,jj,ikbvm1)*vmask(ji,jj,1) |
---|
| 1292 | END DO |
---|
| 1293 | END DO |
---|
| 1294 | DO jit = nit000 + 1, nit000 + 10 ; CALL zdf_gls( jit ) ; END DO |
---|
| 1295 | ENDIF |
---|
| 1296 | ELSE !* Start from rest |
---|
| 1297 | IF(lwp) WRITE(numout,*) ' ===>>>> : Initialisation of en and mxln by background values' |
---|
| 1298 | IF(lwp) WRITE(numout,*) ' ===>>>> : The bottom stresses are estimated' |
---|
| 1299 | en (:,:,:) = rn_emin |
---|
| 1300 | mxln(:,:,:) = 0.001 |
---|
| 1301 | ! Initialize bottom stresses |
---|
| 1302 | DO jj = 2, jpjm1 |
---|
| 1303 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1304 | ikbu = MIN( mbathy(ji+1,jj ), mbathy(ji,jj) ) |
---|
| 1305 | ikbum1 = MAX( ikbu-1, 1 ) |
---|
| 1306 | ikbv = MIN( mbathy(ji,jj+1), mbathy(ji,jj) ) |
---|
| 1307 | ikbvm1 = MAX( ikbv-1, 1 ) |
---|
| 1308 | cbx = avmu(ji,jj,ikbu) / fse3uw(ji,jj,ikbu) |
---|
| 1309 | cby = avmv(ji,jj,ikbv) / fse3vw(ji,jj,ikbv) |
---|
| 1310 | wbotu(ji,jj) = -cbx * un(ji,jj,ikbum1)*umask(ji,jj,1) |
---|
| 1311 | wbotv(ji,jj) = -cby * vn(ji,jj,ikbvm1)*vmask(ji,jj,1) |
---|
| 1312 | END DO |
---|
| 1313 | END DO |
---|
| 1314 | ENDIF |
---|
| 1315 | ! |
---|
| 1316 | ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file |
---|
| 1317 | ! ! ------------------- |
---|
| 1318 | IF(lwp) WRITE(numout,*) '---- gls-rst ----' |
---|
| 1319 | CALL iom_rstput( kt, nitrst, numrow, 'en' , en ) |
---|
| 1320 | CALL iom_rstput( kt, nitrst, numrow, 'avt' , avt ) |
---|
| 1321 | CALL iom_rstput( kt, nitrst, numrow, 'avm' , avm ) |
---|
| 1322 | CALL iom_rstput( kt, nitrst, numrow, 'avmu' , avmu ) |
---|
| 1323 | CALL iom_rstput( kt, nitrst, numrow, 'avmv' , avmv ) |
---|
| 1324 | CALL iom_rstput( kt, nitrst, numrow, 'mxln' , mxln ) |
---|
| 1325 | ! |
---|
| 1326 | ENDIF |
---|
| 1327 | ! |
---|
| 1328 | END SUBROUTINE gls_rst |
---|
| 1329 | |
---|
| 1330 | #else |
---|
| 1331 | !!---------------------------------------------------------------------- |
---|
| 1332 | !! Dummy module : NO TKE scheme |
---|
| 1333 | !!---------------------------------------------------------------------- |
---|
| 1334 | LOGICAL, PUBLIC, PARAMETER :: lk_zdfgls = .FALSE. !: TKE flag |
---|
| 1335 | CONTAINS |
---|
| 1336 | SUBROUTINE zdf_gls( kt ) ! Empty routine |
---|
| 1337 | WRITE(*,*) 'zdf_gls: You should not have seen this print! error?', kt |
---|
| 1338 | END SUBROUTINE zdf_gls |
---|
| 1339 | #endif |
---|
| 1340 | |
---|
| 1341 | !!====================================================================== |
---|
| 1342 | END MODULE zdfgls |
---|