| 1 | MODULE zdfkpp |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE zdfkpp *** |
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| 4 | !! Ocean physics: vertical mixing coefficient compute from the KPP |
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| 5 | !! turbulent closure parameterization |
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| 6 | !!===================================================================== |
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| 7 | !! History : OPA ! 2000-03 (W.G. Large, J. Chanut) Original code |
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| 8 | !! 8.1 ! 2002-06 (J.M. Molines) for real case CLIPPER |
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| 9 | !! 8.2 ! 2003-10 (Chanut J.) re-writting |
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| 10 | !! NEMO 1.0 ! 2005-01 (C. Ethe, G. Madec) Free form, F90 + creation of tra_kpp routine |
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| 11 | !! 3.3 ! 2010-10 (C. Ethe, G. Madec) reorganisation of initialisation phase + merge TRC-TRA |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | #if defined key_zdfkpp || defined key_esopa |
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| 14 | !!---------------------------------------------------------------------- |
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| 15 | !! 'key_zdfkpp' KPP scheme |
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| 16 | !!---------------------------------------------------------------------- |
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| 17 | !! zdf_kpp : update momentum and tracer Kz from a kpp scheme |
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| 18 | !! zdf_kpp_init : initialization, namelist read, and parameters control |
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| 19 | !! tra_kpp : compute and add to the T & S trend the non-local flux |
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| 20 | !! trc_kpp : compute and add to the passive tracer trend the non-local flux (lk_top=T) |
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| 21 | !!---------------------------------------------------------------------- |
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| 22 | USE oce ! ocean dynamics and active tracers |
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| 23 | USE dom_oce ! ocean space and time domain |
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| 24 | USE zdf_oce ! ocean vertical physics |
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| 25 | USE sbc_oce ! surface boundary condition: ocean |
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| 26 | USE phycst ! physical constants |
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| 27 | USE eosbn2 ! equation of state |
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| 28 | USE zdfddm ! double diffusion mixing |
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| 29 | USE in_out_manager ! I/O manager |
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| 30 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 31 | USE prtctl ! Print control |
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| 32 | USE trdmod_oce ! ocean trends definition |
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| 33 | USE trdtra ! tracers trends |
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| 34 | |
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| 35 | IMPLICIT NONE |
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| 36 | PRIVATE |
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| 37 | |
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| 38 | PUBLIC zdf_kpp ! routine called by step.F90 |
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| 39 | PUBLIC zdf_kpp_init ! routine called by opa.F90 |
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| 40 | PUBLIC tra_kpp ! routine called by step.F90 |
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| 41 | #if defined key_top |
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| 42 | PUBLIC trc_kpp ! routine called by trcstp.F90 |
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| 43 | #endif |
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| 44 | |
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| 45 | LOGICAL , PUBLIC, PARAMETER :: lk_zdfkpp = .TRUE. !: KPP vertical mixing flag |
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| 46 | |
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| 47 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: ghats !: non-local scalar mixing term (gamma/<ws>o) |
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| 48 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj) :: wt0 !: surface temperature flux for non local flux |
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| 49 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj) :: ws0 !: surface salinity flux for non local flux |
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| 50 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj) :: hkpp !: boundary layer depht |
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| 51 | |
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| 52 | ! !!* Namelist namzdf_kpp * |
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| 53 | REAL(wp) :: rn_difmiw = 1.2e-04_wp ! constant internal wave viscosity (m2/s) |
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| 54 | REAL(wp) :: rn_difsiw = 1.2e-05_wp ! constant internal wave diffusivity (m2/s) |
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| 55 | REAL(wp) :: rn_riinfty = 0.8_wp ! local Richardson Number limit for shear instability |
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| 56 | REAL(wp) :: rn_difri = 5.e-03_wp ! maximum shear mixing at Rig = 0 (m2/s) |
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| 57 | REAL(wp) :: rn_bvsqcon = -1.e-09_wp ! Brunt-Vaisala squared (1/s**2) for maximum convection |
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| 58 | REAL(wp) :: rn_difcon = 1._wp ! maximum mixing in interior convection (m2/s) |
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| 59 | INTEGER :: nn_ave = 1 ! = 0/1 flag for horizontal average on avt, avmu, avmv |
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| 60 | |
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| 61 | #if defined key_zdfddm |
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| 62 | ! !!! ** Double diffusion Mixing |
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| 63 | REAL(wp) :: difssf = 1.e-03_wp ! maximum salt fingering mixing |
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| 64 | REAL(wp) :: Rrho0 = 1.9_wp ! limit for salt fingering mixing |
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| 65 | REAL(wp) :: difsdc = 1.5e-06_wp ! maximum diffusive convection mixing |
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| 66 | #endif |
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| 67 | LOGICAL :: ln_kpprimix = .TRUE. ! Shear instability mixing |
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| 68 | |
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| 69 | ! !!! ** General constants ** |
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| 70 | REAL(wp) :: epsln = 1.0e-20_wp ! a small positive number |
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| 71 | REAL(wp) :: pthird = 1._wp/3._wp ! 1/3 |
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| 72 | REAL(wp) :: pfourth = 1._wp/4._wp ! 1/4 |
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| 73 | |
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| 74 | ! !!! ** Boundary Layer Turbulence Parameters ** |
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| 75 | REAL(wp) :: vonk = 0.4_wp ! von Karman's constant |
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| 76 | REAL(wp) :: epsilon = 0.1_wp ! nondimensional extent of the surface layer |
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| 77 | REAL(wp) :: rconc1 = 5.0_wp ! standard flux profile function parmaeters |
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| 78 | REAL(wp) :: rconc2 = 16.0_wp ! " " |
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| 79 | REAL(wp) :: rconcm = 8.38_wp ! momentum flux profile fit |
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| 80 | REAL(wp) :: rconam = 1.26_wp ! " " |
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| 81 | REAL(wp) :: rzetam = -.20_wp ! " " |
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| 82 | REAL(wp) :: rconcs = 98.96_wp ! scalar flux profile fit |
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| 83 | REAL(wp) :: rconas = -28.86_wp ! " " |
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| 84 | REAL(wp) :: rzetas = -1.0_wp ! " " |
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| 85 | |
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| 86 | ! !!! ** Boundary Layer Depth Diagnostic ** |
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| 87 | REAL(wp) :: Ricr = 0.3_wp ! critical bulk Richardson Number |
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| 88 | REAL(wp) :: rcekman = 0.7_wp ! coefficient for ekman depth |
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| 89 | REAL(wp) :: rcmonob = 1.0_wp ! coefficient for Monin-Obukhov depth |
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| 90 | REAL(wp) :: rconcv = 1.7_wp ! ratio of interior buoyancy frequency to its value at entrainment depth |
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| 91 | REAL(wp) :: hbf = 1.0_wp ! fraction of bound. layer depth to which absorbed solar |
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| 92 | ! ! rad. and contributes to surf. buo. forcing |
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| 93 | REAL(wp) :: Vtc ! function of rconcv,rconcs,epsilon,vonk,Ricr |
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| 94 | |
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| 95 | ! !!! ** Nonlocal Boundary Layer Mixing ** |
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| 96 | REAL(wp) :: rcstar = 5.0_wp ! coefficient for convective nonlocal transport |
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| 97 | REAL(wp) :: rcs = 1.0e-3_wp ! conversion: mm/s ==> m/s |
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| 98 | REAL(wp) :: rcg ! non-dimensional coefficient for nonlocal transport |
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| 99 | |
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| 100 | #if ! defined key_kppcustom |
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| 101 | REAL(wp), DIMENSION(jpk,jpk) :: del ! array for reference mean values of vertical integration |
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| 102 | #endif |
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| 103 | |
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| 104 | #if defined key_kpplktb |
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| 105 | ! !!! ** Parameters for lookup table for turbulent velocity scales ** |
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| 106 | INTEGER, PARAMETER :: nilktb = 892 ! number of values for zehat in KPP lookup table |
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| 107 | INTEGER, PARAMETER :: njlktb = 482 ! number of values for ustar in KPP lookup table |
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| 108 | INTEGER, PARAMETER :: nilktbm1 = nilktb-1 ! |
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| 109 | INTEGER, PARAMETER :: njlktbm1 = njlktb-1 ! |
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| 110 | |
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| 111 | REAL(wp), DIMENSION(nilktb,njlktb) :: wmlktb ! lookup table for the turbulent vertical velocity scale (momentum) |
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| 112 | REAL(wp), DIMENSION(nilktb,njlktb) :: wslktb ! lookup table for the turbulent vertical velocity scale (tracers) |
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| 113 | |
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| 114 | REAL(wp) :: dehatmin = -4.e-7_wp ! minimum limit for zhat in lookup table (m3/s3) |
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| 115 | REAL(wp) :: dehatmax = 0._wp ! maximum limit for zhat in lookup table (m3/s3) |
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| 116 | REAL(wp) :: ustmin = 0._wp ! minimum limit for ustar in lookup table (m/s) |
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| 117 | REAL(wp) :: ustmax = 0.04_wp ! maximum limit for ustar in lookup table (m/s) |
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| 118 | REAL(wp) :: dezehat ! delta zhat in lookup table |
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| 119 | REAL(wp) :: deustar ! delta ustar in lookup table |
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| 120 | #endif |
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| 121 | REAL(wp), DIMENSION(jpk) :: ratt ! attenuation coef (already defines in module traqsr, |
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| 122 | ! ! but only if the solar radiation penetration is considered) |
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| 123 | |
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| 124 | ! !!! * penetrative solar radiation coefficient * |
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| 125 | REAL(wp) :: rabs = 0.58_wp ! fraction associated with xsi1 |
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| 126 | REAL(wp) :: xsi1 = 0.35_wp ! first depth of extinction |
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| 127 | REAL(wp) :: xsi2 = 23.0_wp ! second depth of extinction |
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| 128 | ! ! (default values: water type Ib) |
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| 129 | |
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| 130 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: etmean, eumean, evmean ! coeff. used for hor. smoothing at t-, u- & v-points |
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| 131 | |
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| 132 | |
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| 133 | #if defined key_c1d |
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| 134 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: rig !: gradient Richardson number |
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| 135 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: rib !: bulk Richardson number |
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| 136 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: buof !: buoyancy forcing |
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| 137 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: mols !: moning-Obukhov length scale |
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| 138 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj) :: ekdp !: Ekman depth |
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| 139 | #endif |
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| 140 | |
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| 141 | INTEGER :: jip = 62 , jjp = 111 |
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| 142 | |
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| 143 | !! * Substitutions |
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| 144 | # include "domzgr_substitute.h90" |
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| 145 | # include "vectopt_loop_substitute.h90" |
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| 146 | # include "zdfddm_substitute.h90" |
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| 147 | !!---------------------------------------------------------------------- |
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| 148 | !! NEMO/OPA 3.3 , LOCEAN-IPSL (2010) |
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| 149 | !! $Id$ |
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| 150 | !! Software governed by the CeCILL licence (NEMOGCM/License_CeCILL.txt) |
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| 151 | !!---------------------------------------------------------------------- |
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| 152 | |
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| 153 | CONTAINS |
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| 154 | |
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| 155 | SUBROUTINE zdf_kpp( kt ) |
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| 156 | !!---------------------------------------------------------------------- |
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| 157 | !! *** ROUTINE zdf_kpp *** |
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| 158 | !! |
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| 159 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
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| 160 | !! coefficients and non local mixing using K-profile parameterization |
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| 161 | !! |
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| 162 | !! ** Method : The boundary layer depth hkpp is diagnosed at tracer points |
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| 163 | !! from profiles of buoyancy, and shear, and the surface forcing. |
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| 164 | !! Above hbl (sigma=-z/hbl <1) the mixing coefficients are computed from |
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| 165 | !! |
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| 166 | !! Kx = hkpp Wx(sigma) G(sigma) |
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| 167 | !! |
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| 168 | !! and the non local term ghat = Cs / Ws(sigma) / hkpp |
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| 169 | !! Below hkpp the coefficients are the sum of mixing due to internal waves |
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| 170 | !! shear instability and double diffusion. |
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| 171 | !! |
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| 172 | !! -1- Compute the now interior vertical mixing coefficients at all depths. |
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| 173 | !! -2- Diagnose the boundary layer depth. |
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| 174 | !! -3- Compute the now boundary layer vertical mixing coefficients. |
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| 175 | !! -4- Compute the now vertical eddy vicosity and diffusivity. |
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| 176 | !! -5- Smoothing |
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| 177 | !! |
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| 178 | !! N.B. The computation is done from jk=2 to jpkm1 |
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| 179 | !! Surface value of avt avmu avmv are set once a time to zero |
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| 180 | !! in routine zdf_kpp_init. |
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| 181 | !! |
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| 182 | !! ** Action : update the non-local terms ghats |
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| 183 | !! update avt, avmu, avmv (before vertical eddy coef.) |
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| 184 | !! |
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| 185 | !! References : Large W.G., Mc Williams J.C. and Doney S.C. |
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| 186 | !! Reviews of Geophysics, 32, 4, November 1994 |
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| 187 | !! Comments in the code refer to this paper, particularly |
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| 188 | !! the equation number. (LMD94, here after) |
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| 189 | !!---------------------------------------------------------------------- |
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| 190 | #if defined key_zdfddm |
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| 191 | USE oce , zviscos => ua ! temp. array for viscosities use ua as workspace |
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| 192 | USE oce , zdiffut => ta ! temp. array for diffusivities use sa as workspace |
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| 193 | USE oce , zdiffus => sa ! temp. array for diffusivities use sa as workspace |
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| 194 | #else |
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| 195 | USE oce , zviscos => ua ! temp. array for viscosities use ua as workspace |
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| 196 | USE oce , zdiffut => ta ! temp. array for diffusivities use sa as workspace |
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| 197 | #endif |
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| 198 | !! |
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| 199 | INTEGER, INTENT( in ) :: kt ! ocean time step |
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| 200 | !! |
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| 201 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 202 | INTEGER :: ikbot, jkmax, jkm1, jkp2 ! |
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| 203 | |
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| 204 | REAL(wp), DIMENSION(jpi,jpj) :: zBo, zBosol, zustar ! Surface buoyancy forcing, friction velocity |
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| 205 | REAL(wp) :: ztx, zty, zflageos, zstabl, zbuofdep,zucube ! |
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| 206 | REAL(wp) :: zrhos, zalbet, zbeta, zthermal, zhalin, zatt1 ! |
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| 207 | REAL(wp) :: zref, zt, zs, zh, zu, zv, zrh ! Bulk richardson number |
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| 208 | REAL(wp) :: zrib, zrinum, zdVsq, zVtsq ! |
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| 209 | REAL(wp) :: zehat, zeta, zhrib, zsig, zscale, zwst, zws, zwm ! Velocity scales |
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| 210 | #if defined key_kpplktb |
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| 211 | INTEGER :: il, jl ! Lookup table or Analytical functions |
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| 212 | REAL(wp) :: ud, zfrac, ufrac, zwam, zwbm, zwas, zwbs ! |
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| 213 | #else |
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| 214 | REAL(wp) :: zwsun, zwmun, zcons, zconm, zwcons, zwconm ! |
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| 215 | #endif |
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| 216 | REAL(wp) :: zsr, zbw, ze, zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, zcomp , zrhd,zrhdr,zbvzed ! In situ density |
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| 217 | #if ! defined key_kppcustom |
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| 218 | INTEGER :: jm ! dummy loop indices |
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| 219 | REAL(wp) :: zr1, zr2, zr3, zr4, zrhop ! Compression terms |
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| 220 | #endif |
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| 221 | REAL(wp) :: zflag, ztemp, zrn2, zdep21, zdep32, zdep43 |
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| 222 | REAL(wp) :: zdku2, zdkv2, ze3sqr, zsh2, zri, zfri ! Interior richardson mixing |
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| 223 | REAL(wp), DIMENSION(jpi,0:2) :: zmoek ! Moning-Obukov limitation |
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| 224 | REAL(wp), DIMENSION(jpi) :: zmoa, zekman |
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| 225 | REAL(wp) :: zmob, zek |
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| 226 | REAL(wp), DIMENSION(jpi,4) :: zdepw, zdift, zvisc ! The pipe |
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| 227 | REAL(wp), DIMENSION(jpi,3) :: zdept |
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| 228 | REAL(wp), DIMENSION(jpi,2) :: zriblk |
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| 229 | REAL(wp), DIMENSION(jpi,jpk) :: zmask |
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| 230 | REAL(wp), DIMENSION(jpi) :: zhmax, zria, zhbl |
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| 231 | REAL(wp) :: zflagri, zflagek, zflagmo, zflagh, zflagkb ! |
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| 232 | REAL(wp), DIMENSION(jpi) :: za2m, za3m, zkmpm, za2t, za3t, zkmpt ! Shape function (G) |
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| 233 | REAL(wp) :: zdelta, zdelta2, zdzup, zdzdn, zdzh, zvath, zgat1, zdat1, zkm1m, zkm1t |
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| 234 | REAL(wp), DIMENSION(jpi,jpk) :: zblcm, zblct ! Boundary layer diffusivities/viscosities |
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| 235 | #if defined key_zdfddm |
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| 236 | REAL(wp) :: zrrau, zds, zavdds, zavddt,zinr ! double diffusion mixing |
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| 237 | REAL(wp), DIMENSION(jpi,4) :: zdifs |
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| 238 | REAL(wp), DIMENSION(jpi) :: za2s, za3s, zkmps |
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| 239 | REAL(wp) :: zkm1s |
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| 240 | REAL(wp), DIMENSION(jpi,jpk) :: zblcs |
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| 241 | #endif |
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| 242 | !!-------------------------------------------------------------------- |
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| 243 | |
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| 244 | zviscos(:,:,:) = 0. |
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| 245 | zblcm (:,: ) = 0. |
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| 246 | zdiffut(:,:,:) = 0. |
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| 247 | zblct (:,: ) = 0. |
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| 248 | #if defined key_zdfddm |
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| 249 | zdiffus(:,:,:) = 0. |
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| 250 | zblcs (:,: ) = 0. |
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| 251 | #endif |
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| 252 | ghats(:,:,:) = 0. |
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| 253 | |
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| 254 | zBo (:,:) = 0. |
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| 255 | zBosol(:,:) = 0. |
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| 256 | zustar(:,:) = 0. |
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| 257 | |
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| 258 | |
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| 259 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
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| 260 | ! I. Interior diffusivity and viscosity at w points ( T interfaces) |
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| 261 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 262 | DO jk = 2, jpkm1 |
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| 263 | DO jj = 2, jpjm1 |
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| 264 | DO ji = fs_2, fs_jpim1 |
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| 265 | ! Mixing due to internal waves breaking |
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| 266 | ! ------------------------------------- |
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| 267 | avmu(ji,jj,jk) = rn_difmiw |
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| 268 | avt (ji,jj,jk) = rn_difsiw |
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| 269 | ! Mixing due to vertical shear instability |
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| 270 | ! ------------------------------------- |
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| 271 | IF( ln_kpprimix ) THEN |
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| 272 | ! Compute the gradient Richardson number at interfaces (zri): |
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| 273 | ! LMD94, eq. 27 (is vertical smoothing needed : Rig=N^2 / (dz(u))^2 + (dz(v))^2 |
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| 274 | zdku2 = ( un(ji - 1,jj,jk - 1) - un(ji - 1,jj,jk) ) & |
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| 275 | & * ( un(ji - 1,jj,jk - 1) - un(ji - 1,jj,jk) ) & |
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| 276 | & + ( un(ji ,jj,jk - 1) - un(ji ,jj,jk) ) & |
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| 277 | & * ( un(ji ,jj,jk - 1) - un(ji ,jj,jk) ) |
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| 278 | |
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| 279 | zdkv2 = ( vn(ji,jj - 1,jk - 1) - vn(ji,jj - 1,jk) ) & |
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| 280 | & * ( vn(ji,jj - 1,jk - 1) - vn(ji,jj - 1,jk) ) & |
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| 281 | & + ( vn(ji, jj,jk - 1) - vn(ji, jj,jk) ) & |
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| 282 | & * ( vn(ji, jj,jk - 1) - vn(ji, jj,jk) ) |
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| 283 | |
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| 284 | ze3sqr = 1. / ( fse3w(ji,jj,jk) * fse3w(ji,jj,jk) ) |
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| 285 | ! Square of vertical shear at interfaces |
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| 286 | zsh2 = 0.5 * ( zdku2 + zdkv2 ) * ze3sqr |
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| 287 | zri = MAX( rn2(ji,jj,jk), 0. ) / ( zsh2 + epsln ) |
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| 288 | #if defined key_c1d |
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| 289 | ! save the gradient richardson number |
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| 290 | rig(ji,jj,jk) = zri * tmask(ji,jj,jk) |
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| 291 | #endif |
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| 292 | ! Evaluate f of Ri (zri) for shear instability store in zfri |
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| 293 | ! LMD94, eq. 28a,b,c, figure 3 ; Rem: p1 is 3, hard coded |
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| 294 | zfri = MAX( zri , 0. ) |
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| 295 | zfri = MIN( zfri / rn_riinfty , 1.0 ) |
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| 296 | zfri = ( 1.0 - zfri * zfri ) |
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| 297 | zfri = zfri * zfri * zfri |
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| 298 | ! add shear contribution to mixing coef. |
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| 299 | avmu(ji,jj,jk) = avmu(ji,jj,jk) + rn_difri * zfri |
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| 300 | avt (ji,jj,jk) = avt (ji,jj,jk) + rn_difri * zfri |
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| 301 | ENDIF |
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| 302 | #if defined key_zdfddm |
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| 303 | avs (ji,jj,jk) = avt (ji,jj,jk) |
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| 304 | ! Double diffusion mixing ; NOT IN ROUTINE ZDFDDM.F90 |
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| 305 | ! ------------------------------------------------------------------ |
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| 306 | ! only retains positive value of rrau |
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| 307 | zrrau = MAX( rrau(ji,jj,jk), epsln ) |
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| 308 | zds = sn(ji,jj,jk-1) - sn(ji,jj,jk) |
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| 309 | IF( zrrau > 1. .AND. zds > 0.) THEN |
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| 310 | ! |
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| 311 | ! Salt fingering case. |
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| 312 | !--------------------- |
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| 313 | ! Compute interior diffusivity for double diffusive mixing of |
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| 314 | ! salinity. Upper bound "zrrau" by "Rrho0"; (Rrho0=1.9, difcoefnuf=0.001). |
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| 315 | ! After that set interior diffusivity for double diffusive mixing |
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| 316 | ! of temperature |
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| 317 | zavdds = MIN( zrrau, Rrho0 ) |
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| 318 | zavdds = ( zavdds - 1.0 ) / ( Rrho0 - 1.0 ) |
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| 319 | zavdds = 1.0 - zavdds * zavdds |
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| 320 | zavdds = zavdds * zavdds * zavdds |
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| 321 | zavdds = difssf * zavdds |
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| 322 | zavddt = 0.7 * zavdds |
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| 323 | ELSEIF( zrrau < 1. .AND. zrrau > 0. .AND. zds < 0.) THEN |
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| 324 | ! |
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| 325 | ! Diffusive convection case. |
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| 326 | !--------------------------- |
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| 327 | ! Compute interior diffusivity for double diffusive mixing of |
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| 328 | ! temperature (Marmorino and Caldwell, 1976); |
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| 329 | ! Compute interior diffusivity for double diffusive mixing of salinity |
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| 330 | zinr = 1. / zrrau |
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| 331 | zavddt = 0.909 * EXP( 4.6 * EXP( -0.54* ( zinr - 1. ) ) ) |
|---|
| 332 | zavddt = difsdc * zavddt |
|---|
| 333 | IF( zrrau < 0.5) THEN |
|---|
| 334 | zavdds = zavddt * 0.15 * zrrau |
|---|
| 335 | ELSE |
|---|
| 336 | zavdds = zavddt * (1.85 * zrrau - 0.85 ) |
|---|
| 337 | ENDIF |
|---|
| 338 | ELSE |
|---|
| 339 | zavddt = 0. |
|---|
| 340 | zavdds = 0. |
|---|
| 341 | ENDIF |
|---|
| 342 | ! Add double diffusion contribution to temperature and salinity mixing coefficients. |
|---|
| 343 | avt (ji,jj,jk) = avt (ji,jj,jk) + zavddt |
|---|
| 344 | avs (ji,jj,jk) = avs (ji,jj,jk) + zavdds |
|---|
| 345 | #endif |
|---|
| 346 | END DO |
|---|
| 347 | END DO |
|---|
| 348 | END DO |
|---|
| 349 | |
|---|
| 350 | |
|---|
| 351 | ! Radiative (zBosol) and non radiative (zBo) surface buoyancy |
|---|
| 352 | !JMM at the time zdfkpp is called, q still holds the sum q + qsr |
|---|
| 353 | !--------------------------------------------------------------------- |
|---|
| 354 | DO jj = 2, jpjm1 |
|---|
| 355 | DO ji = fs_2, fs_jpim1 |
|---|
| 356 | IF( nn_eos < 1) THEN |
|---|
| 357 | zt = tn(ji,jj,1) |
|---|
| 358 | zs = sn(ji,jj,1) - 35.0 |
|---|
| 359 | zh = fsdept(ji,jj,1) |
|---|
| 360 | ! potential volumic mass |
|---|
| 361 | zrhos = rhop(ji,jj,1) |
|---|
| 362 | zalbet = ( ( ( - 0.255019e-07 * zt + 0.298357e-05 ) * zt & ! ratio alpha/beta |
|---|
| 363 | & - 0.203814e-03 ) * zt & |
|---|
| 364 | & + 0.170907e-01 ) * zt & |
|---|
| 365 | & + 0.665157e-01 & |
|---|
| 366 | & + ( - 0.678662e-05 * zs & |
|---|
| 367 | & - 0.846960e-04 * zt + 0.378110e-02 ) * zs & |
|---|
| 368 | & + ( ( - 0.302285e-13 * zh & |
|---|
| 369 | & - 0.251520e-11 * zs & |
|---|
| 370 | & + 0.512857e-12 * zt * zt ) * zh & |
|---|
| 371 | & - 0.164759e-06 * zs & |
|---|
| 372 | & +( 0.791325e-08 * zt - 0.933746e-06 ) * zt & |
|---|
| 373 | & + 0.380374e-04 ) * zh |
|---|
| 374 | |
|---|
| 375 | zbeta = ( ( -0.415613e-09 * zt + 0.555579e-07 ) * zt & ! beta |
|---|
| 376 | & - 0.301985e-05 ) * zt & |
|---|
| 377 | & + 0.785567e-03 & |
|---|
| 378 | & + ( 0.515032e-08 * zs & |
|---|
| 379 | & + 0.788212e-08 * zt - 0.356603e-06 ) * zs & |
|---|
| 380 | & +( ( 0.121551e-17 * zh & |
|---|
| 381 | & - 0.602281e-15 * zs & |
|---|
| 382 | & - 0.175379e-14 * zt + 0.176621e-12 ) * zh & |
|---|
| 383 | & + 0.408195e-10 * zs & |
|---|
| 384 | & + ( - 0.213127e-11 * zt + 0.192867e-09 ) * zt & |
|---|
| 385 | & - 0.121555e-07 ) * zh |
|---|
| 386 | |
|---|
| 387 | zthermal = zbeta * zalbet / ( rcp * zrhos + epsln ) |
|---|
| 388 | zhalin = zbeta * sn(ji,jj,1) * rcs |
|---|
| 389 | ELSE |
|---|
| 390 | zrhos = rhop(ji,jj,1) + rau0 * ( 1. - tmask(ji,jj,1) ) |
|---|
| 391 | zthermal = rn_alpha / ( rcp * zrhos + epsln ) |
|---|
| 392 | zhalin = rn_beta * sn(ji,jj,1) * rcs |
|---|
| 393 | ENDIF |
|---|
| 394 | ! Radiative surface buoyancy force |
|---|
| 395 | zBosol(ji,jj) = grav * zthermal * qsr(ji,jj) |
|---|
| 396 | ! Non radiative surface buoyancy force |
|---|
| 397 | zBo (ji,jj) = grav * zthermal * qns(ji,jj) - grav * zhalin * ( emps(ji,jj)-rnf(ji,jj) ) |
|---|
| 398 | ! Surface Temperature flux for non-local term |
|---|
| 399 | wt0(ji,jj) = - ( qsr(ji,jj) + qns(ji,jj) )* ro0cpr * tmask(ji,jj,1) |
|---|
| 400 | ! Surface salinity flux for non-local term |
|---|
| 401 | ws0(ji,jj) = - ( ( emps(ji,jj)-rnf(ji,jj) ) * sn(ji,jj,1) * rcs ) * tmask(ji,jj,1) |
|---|
| 402 | ENDDO |
|---|
| 403 | ENDDO |
|---|
| 404 | |
|---|
| 405 | zflageos = 0.5 + SIGN( 0.5, nn_eos - 1. ) |
|---|
| 406 | ! Compute surface buoyancy forcing, Monin Obukhov and Ekman depths |
|---|
| 407 | !------------------------------------------------------------------ |
|---|
| 408 | DO jj = 2, jpjm1 |
|---|
| 409 | DO ji = fs_2, fs_jpim1 |
|---|
| 410 | ! Reference surface density = density at first T point level |
|---|
| 411 | zrhos = rhop(ji,jj,1) + zflageos * rau0 * ( 1. - tmask(ji,jj,1) ) |
|---|
| 412 | ! Friction velocity (zustar), at T-point : LMD94 eq. 2 |
|---|
| 413 | zustar(ji,jj) = SQRT( taum(ji,jj) / ( zrhos + epsln ) ) |
|---|
| 414 | ENDDO |
|---|
| 415 | ENDDO |
|---|
| 416 | |
|---|
| 417 | !CDIR NOVERRCHK |
|---|
| 418 | ! ! =============== |
|---|
| 419 | DO jj = 2, jpjm1 ! Vertical slab |
|---|
| 420 | ! ! =============== |
|---|
| 421 | |
|---|
| 422 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 423 | ! II Compute Boundary layer mixing coef. and diagnose the new boundary layer depth |
|---|
| 424 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 425 | |
|---|
| 426 | ! Initialization |
|---|
| 427 | jkmax = 0 |
|---|
| 428 | zdept (:,:) = 0. |
|---|
| 429 | zdepw (:,:) = 0. |
|---|
| 430 | zriblk(:,:) = 0. |
|---|
| 431 | zmoek (:,:) = 0. |
|---|
| 432 | zvisc (:,:) = 0. |
|---|
| 433 | zdift (:,:) = 0. |
|---|
| 434 | #if defined key_zdfddm |
|---|
| 435 | zdifs (:,:) = 0. |
|---|
| 436 | #endif |
|---|
| 437 | zmask (:,:) = 0. |
|---|
| 438 | DO ji = fs_2, fs_jpim1 |
|---|
| 439 | zria(ji ) = 0. |
|---|
| 440 | ! Maximum boundary layer depth |
|---|
| 441 | ikbot = mbathy(ji,jj) - 1 ! ikbot is the last T point in the water |
|---|
| 442 | zhmax(ji) = fsdept(ji,jj,ikbot) - 0.001 |
|---|
| 443 | ! Compute Monin obukhov length scale at the surface and Ekman depth: |
|---|
| 444 | zbuofdep = zBo(ji,jj) + zBosol(ji,jj) * ratt(1) |
|---|
| 445 | zekman(ji) = rcekman * zustar(ji,jj) / ( ABS( ff(ji,jj) ) + epsln ) |
|---|
| 446 | zucube = zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj) |
|---|
| 447 | zmoa(ji) = zucube / ( vonk * ( zbuofdep + epsln ) ) |
|---|
| 448 | #if defined key_c1d |
|---|
| 449 | ! store the surface buoyancy forcing |
|---|
| 450 | zstabl = 0.5 + SIGN( 0.5, zbuofdep ) |
|---|
| 451 | buof(ji,jj,1) = zbuofdep * tmask(ji,jj,1) |
|---|
| 452 | ! store the moning-oboukov length scale at surface |
|---|
| 453 | zmob = zstabl * zmoa(ji) + ( 1.0 - zstabl ) * fsdept(ji,jj,1) |
|---|
| 454 | mols(ji,jj,1) = MIN( zmob , zhmax(ji) ) * tmask(ji,jj,1) |
|---|
| 455 | ! store Ekman depth |
|---|
| 456 | zek = zstabl * zekman(ji) + ( 1.0 - zstabl ) * fsdept(ji,jj,1) |
|---|
| 457 | ekdp(ji,jj ) = MIN( zek , zhmax(ji) ) * tmask(ji,jj,1) |
|---|
| 458 | #endif |
|---|
| 459 | END DO |
|---|
| 460 | ! Compute the pipe |
|---|
| 461 | ! --------------------- |
|---|
| 462 | DO jk = 2, jpkm1 |
|---|
| 463 | DO ji = fs_2, fs_jpim1 |
|---|
| 464 | ! Compute bfsfc = Bo + radiative contribution down to hbf*depht |
|---|
| 465 | zbuofdep = zBo(ji,jj) + zBosol(ji,jj) * ratt(jk) |
|---|
| 466 | ! Flag (zstabl = 1) if positive forcing |
|---|
| 467 | zstabl = 0.5 + SIGN( 0.5, zbuofdep) |
|---|
| 468 | |
|---|
| 469 | ! Compute bulk richardson number zrib at depht |
|---|
| 470 | !------------------------------------------------------- |
|---|
| 471 | ! [Br - B(d)] * d zrinum |
|---|
| 472 | ! Rib(z) = ----------------------- = ------------- |
|---|
| 473 | ! |Vr - V(d)|^2 + Vt(d)^2 zdVsq + zVtsq |
|---|
| 474 | ! |
|---|
| 475 | ! First compute zt,zs,zu,zv = means in the surface layer < epsilon*depht |
|---|
| 476 | ! Else surface values are taken at the first T level. |
|---|
| 477 | ! For stability, resolved vertical shear is computed with "before velocities". |
|---|
| 478 | zref = epsilon * fsdept(ji,jj,jk) |
|---|
| 479 | #if defined key_kppcustom |
|---|
| 480 | ! zref = gdept(1) |
|---|
| 481 | zref = fsdept(ji,jj,1) |
|---|
| 482 | zt = tn(ji,jj,1) |
|---|
| 483 | zs = sn(ji,jj,1) |
|---|
| 484 | zrh = rhop(ji,jj,1) |
|---|
| 485 | zu = ( ub(ji,jj,1) + ub(ji - 1,jj ,1) ) / MAX( 1. , umask(ji,jj,1) + umask(ji - 1,jj ,1) ) |
|---|
| 486 | zv = ( vb(ji,jj,1) + vb(ji ,jj - 1,1) ) / MAX( 1. , vmask(ji,jj,1) + vmask(ji ,jj - 1,1) ) |
|---|
| 487 | #else |
|---|
| 488 | zt = 0. |
|---|
| 489 | zs = 0. |
|---|
| 490 | zu = 0. |
|---|
| 491 | zv = 0. |
|---|
| 492 | zrh = 0. |
|---|
| 493 | ! vertically integration over the upper epsilon*gdept(jk) ; del () array is computed once in zdf_kpp_init |
|---|
| 494 | DO jm = 1, jpkm1 |
|---|
| 495 | zt = zt + del(jk,jm) * tn(ji,jj,jm) |
|---|
| 496 | zs = zs + del(jk,jm) * sn(ji,jj,jm) |
|---|
| 497 | zu = zu + 0.5 * del(jk,jm) & |
|---|
| 498 | & * ( ub(ji,jj,jm) + ub(ji - 1,jj,jm) ) & |
|---|
| 499 | & / MAX( 1. , umask(ji,jj,jm) + umask(ji - 1,jj,jm) ) |
|---|
| 500 | zv = zv + 0.5 * del(jk,jm) & |
|---|
| 501 | & * ( vb(ji,jj,jm) + vb(ji,jj - 1,jm) ) & |
|---|
| 502 | & / MAX( 1. , vmask(ji,jj,jm) + vmask(ji,jj - 1,jm) ) |
|---|
| 503 | zrh = zrh + del(jk,jm) * rhop(ji,jj,jm) |
|---|
| 504 | END DO |
|---|
| 505 | #endif |
|---|
| 506 | zsr = SQRT( ABS( sn(ji,jj,jk) ) ) |
|---|
| 507 | ! depth |
|---|
| 508 | zh = fsdept(ji,jj,jk) |
|---|
| 509 | ! compute compression terms on density |
|---|
| 510 | ze = ( -3.508914e-8*zt-1.248266e-8 ) *zt-2.595994e-6 |
|---|
| 511 | zbw = ( 1.296821e-6*zt-5.782165e-9 ) *zt+1.045941e-4 |
|---|
| 512 | zb = zbw + ze * zs |
|---|
| 513 | |
|---|
| 514 | zd = -2.042967e-2 |
|---|
| 515 | zc = (-7.267926e-5*zt+2.598241e-3 ) *zt+0.1571896 |
|---|
| 516 | zaw = ( ( 5.939910e-6*zt+2.512549e-3 ) *zt-0.1028859 ) *zt - 4.721788 |
|---|
| 517 | za = ( zd*zsr + zc ) *zs + zaw |
|---|
| 518 | |
|---|
| 519 | zb1 = (-0.1909078*zt+7.390729 ) *zt-55.87545 |
|---|
| 520 | za1 = ( ( 2.326469e-3*zt+1.553190)*zt-65.00517 ) *zt+1044.077 |
|---|
| 521 | zkw = ( ( (-1.361629e-4*zt-1.852732e-2 ) *zt-30.41638 ) *zt + 2098.925 ) *zt+190925.6 |
|---|
| 522 | zk0 = ( zb1*zsr + za1 )*zs + zkw |
|---|
| 523 | zcomp = 1.0 - zh / ( zk0 - zh * ( za - zh * zb ) ) |
|---|
| 524 | |
|---|
| 525 | #if defined key_kppcustom |
|---|
| 526 | ! potential density of water(zrh = zt,zs at level jk): |
|---|
| 527 | zrhdr = zrh / zcomp |
|---|
| 528 | #else |
|---|
| 529 | ! potential density of water(ztref,zsref at level jk): |
|---|
| 530 | ! compute volumic mass pure water at atm pressure |
|---|
| 531 | IF ( nn_eos < 1 ) THEN |
|---|
| 532 | zr1= ( ( ( ( 6.536332e-9*zt-1.120083e-6 )*zt+1.001685e-4)*zt & |
|---|
| 533 | & -9.095290e-3 )*zt+6.793952e-2 )*zt+999.842594 |
|---|
| 534 | ! seawater volumic mass atm pressure |
|---|
| 535 | zr2= ( ( ( 5.3875e-9*zt-8.2467e-7 ) *zt+7.6438e-5 ) *zt & |
|---|
| 536 | & -4.0899e-3 ) *zt+0.824493 |
|---|
| 537 | zr3= ( -1.6546e-6*zt+1.0227e-4 ) *zt-5.72466e-3 |
|---|
| 538 | zr4= 4.8314e-4 |
|---|
| 539 | ! potential volumic mass (reference to the surface) |
|---|
| 540 | zrhop= ( zr4*zs + zr3*zsr + zr2 ) *zs + zr1 |
|---|
| 541 | zrhdr = zrhop / zcomp |
|---|
| 542 | ELSE |
|---|
| 543 | zrhdr = zrh / zcomp |
|---|
| 544 | ENDIF |
|---|
| 545 | #endif |
|---|
| 546 | |
|---|
| 547 | ! potential density of ambiant water at level jk : |
|---|
| 548 | zrhd = ( rhd(ji,jj,jk) * rau0 + rau0 ) |
|---|
| 549 | |
|---|
| 550 | ! And now the Rib number numerator . |
|---|
| 551 | zrinum = grav * ( zrhd - zrhdr ) / rau0 |
|---|
| 552 | zrinum = zrinum * ( fsdept(ji,jj,jk) - zref ) * tmask(ji,jj,jk) |
|---|
| 553 | |
|---|
| 554 | ! Resolved shear contribution to Rib at depth T-point (zdVsq) |
|---|
| 555 | ztx = ( ub( ji , jj ,jk) + ub(ji - 1, jj ,jk) ) & |
|---|
| 556 | & / MAX( 1. , umask( ji , jj ,jk) + umask(ji - 1, jj ,jk) ) |
|---|
| 557 | zty = ( vb( ji , jj ,jk) + vb(ji ,jj - 1,jk) ) & |
|---|
| 558 | & / MAX( 1., vmask( ji , jj ,jk) + vmask(ji ,jj - 1,jk) ) |
|---|
| 559 | |
|---|
| 560 | zdVsq = ( zu - ztx ) * ( zu - ztx ) + ( zv - zty ) * ( zv - zty ) |
|---|
| 561 | |
|---|
| 562 | ! Scalar turbulent velocity scale zws for hbl=gdept |
|---|
| 563 | zscale = zstabl + ( 1.0 - zstabl ) * epsilon |
|---|
| 564 | zehat = vonk * zscale * fsdept(ji,jj,jk) * zbuofdep |
|---|
| 565 | zucube = zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj) |
|---|
| 566 | zeta = zehat / ( zucube + epsln ) |
|---|
| 567 | |
|---|
| 568 | IF( zehat > 0. ) THEN |
|---|
| 569 | ! Stable case |
|---|
| 570 | zws = vonk * zustar(ji,jj) / ( 1.0 + rconc1 * zeta ) |
|---|
| 571 | ELSE |
|---|
| 572 | ! Unstable case |
|---|
| 573 | #if defined key_kpplktb |
|---|
| 574 | ! use lookup table |
|---|
| 575 | zd = zehat - dehatmin |
|---|
| 576 | il = INT( zd / dezehat ) |
|---|
| 577 | il = MIN( il, nilktbm1 ) |
|---|
| 578 | il = MAX( il, 1 ) |
|---|
| 579 | |
|---|
| 580 | ud = zustar(ji,jj) - ustmin |
|---|
| 581 | jl = INT( ud / deustar ) |
|---|
| 582 | jl = MIN( jl, njlktbm1 ) |
|---|
| 583 | jl = MAX( jl, 1 ) |
|---|
| 584 | |
|---|
| 585 | zfrac = zd / dezehat - FLOAT( il ) |
|---|
| 586 | ufrac = ud / deustar - FLOAT( jl ) |
|---|
| 587 | zwas = ( 1. - zfrac ) * wslktb(il,jl+1) + zfrac * wslktb(il+1,jl+1) |
|---|
| 588 | zwbs = ( 1. - zfrac ) * wslktb(il,jl ) + zfrac * wslktb(il+1,jl ) |
|---|
| 589 | ! |
|---|
| 590 | zws = ( 1. - ufrac ) * zwbs + ufrac * zwas |
|---|
| 591 | #else |
|---|
| 592 | ! use analytical functions: |
|---|
| 593 | zcons = 0.5 + SIGN( 0.5 , ( rzetas - zeta ) ) |
|---|
| 594 | zwcons = vonk * zustar(ji,jj) * ( ( ABS( rconas - rconcs * zeta ) )**pthird ) |
|---|
| 595 | zwsun = vonk * zustar(ji,jj) * SQRT( ABS ( 1.0 - rconc2 * zeta ) ) |
|---|
| 596 | ! |
|---|
| 597 | zws = zcons * zwcons + ( 1.0 - zcons) * zwsun |
|---|
| 598 | #endif |
|---|
| 599 | ENDIF |
|---|
| 600 | |
|---|
| 601 | ! Turbulent shear contribution to Rib (zVtsq) bv frequency at levels ( ie T-point jk) |
|---|
| 602 | zrn2 = 0.5 * ( rn2(ji,jj,jk) + rn2(ji,jj,jk+1) ) |
|---|
| 603 | zbvzed = SQRT( ABS( zrn2 ) ) |
|---|
| 604 | zVtsq = fsdept(ji,jj,jk) * zws * zbvzed * Vtc |
|---|
| 605 | |
|---|
| 606 | ! Finally, the bulk Richardson number at depth fsdept(i,j,k) |
|---|
| 607 | zrib = zrinum / ( zdVsq + zVtsq + epsln ) |
|---|
| 608 | |
|---|
| 609 | ! Find subscripts around the boundary layer depth, build the pipe |
|---|
| 610 | ! ---------------------------------------------------------------- |
|---|
| 611 | |
|---|
| 612 | ! Flag (zflagri = 1) if zrib < Ricr |
|---|
| 613 | zflagri = 0.5 + SIGN( 0.5, ( Ricr - zrib ) ) |
|---|
| 614 | ! Flag (zflagh = 1) if still within overall boundary layer |
|---|
| 615 | zflagh = 0.5 + SIGN( 0.5, ( fsdept(ji,jj,1) - zdept(ji,2) ) ) |
|---|
| 616 | |
|---|
| 617 | ! Ekman layer depth |
|---|
| 618 | zek = zstabl * zekman(ji) + ( 1.0 - zstabl ) * zhmax(ji) |
|---|
| 619 | zflag = 0.5 + SIGN( 0.5, ( zek - fsdept(ji,jj,jk-1) ) ) |
|---|
| 620 | zek = zflag * zek + ( 1.0 - zflag ) * zhmax(ji) |
|---|
| 621 | zflagek = 0.5 + SIGN( 0.5, ( zek - fsdept(ji,jj,jk) ) ) |
|---|
| 622 | ! Flag (zflagmo = 1) if still within stable Monin-Obukhov and in water |
|---|
| 623 | zmob = zucube / ( vonk * ( zbuofdep + epsln ) ) |
|---|
| 624 | ztemp = zstabl * zmob + ( 1.0 - zstabl) * zhmax(ji) |
|---|
| 625 | ztemp = MIN( ztemp , zhmax(ji) ) |
|---|
| 626 | zflagmo = 0.5 + SIGN( 0.5, ( ztemp - fsdept(ji,jj,jk) ) ) |
|---|
| 627 | |
|---|
| 628 | ! No limitation by Monin Obukhov or Ekman depths: |
|---|
| 629 | ! zflagek = 1.0 |
|---|
| 630 | ! zflagmo = 0.5 + SIGN( 0.5, ( zhmax(ji) - fsdept(ji,jj,jk) ) ) |
|---|
| 631 | |
|---|
| 632 | ! Load pipe via zflagkb for later calculations |
|---|
| 633 | ! Flag (zflagkb = 1) if zflagh = 1 and (zflagri = 0 or zflagek = 0 or zflagmo = 0) |
|---|
| 634 | zflagkb = zflagh * ( 1.0 - ( zflagri * zflagek * zflagmo ) ) |
|---|
| 635 | |
|---|
| 636 | zmask(ji,jk) = zflagh |
|---|
| 637 | jkp2 = MIN( jk+2 , ikbot ) |
|---|
| 638 | jkm1 = MAX( jk-1 , 2 ) |
|---|
| 639 | jkmax = MAX( jkmax, jk * INT( REAL( zflagh+epsln ) ) ) |
|---|
| 640 | |
|---|
| 641 | zdept(ji,1) = zdept(ji,1) + zflagkb * fsdept(ji,jj,jk-1) |
|---|
| 642 | zdept(ji,2) = zdept(ji,2) + zflagkb * fsdept(ji,jj,jk ) |
|---|
| 643 | zdept(ji,3) = zdept(ji,3) + zflagkb * fsdept(ji,jj,jk+1) |
|---|
| 644 | |
|---|
| 645 | zdepw(ji,1) = zdepw(ji,1) + zflagkb * fsdepw(ji,jj,jk-1) |
|---|
| 646 | zdepw(ji,2) = zdepw(ji,2) + zflagkb * fsdepw(ji,jj,jk ) |
|---|
| 647 | zdepw(ji,3) = zdepw(ji,3) + zflagkb * fsdepw(ji,jj,jk+1) |
|---|
| 648 | zdepw(ji,4) = zdepw(ji,4) + zflagkb * fsdepw(ji,jj,jkp2) |
|---|
| 649 | |
|---|
| 650 | zriblk(ji,1) = zriblk(ji,1) + zflagkb * zria(ji) |
|---|
| 651 | zriblk(ji,2) = zriblk(ji,2) + zflagkb * zrib |
|---|
| 652 | |
|---|
| 653 | zmoek (ji,0) = zmoek (ji,0) + zflagkb * zek |
|---|
| 654 | zmoek (ji,1) = zmoek (ji,1) + zflagkb * zmoa(ji) |
|---|
| 655 | zmoek (ji,2) = zmoek (ji,2) + zflagkb * ztemp |
|---|
| 656 | ! Save Monin Obukhov depth |
|---|
| 657 | zmoa (ji) = zmob |
|---|
| 658 | |
|---|
| 659 | zvisc(ji,1) = zvisc(ji,1) + zflagkb * avmu(ji,jj,jkm1) |
|---|
| 660 | zvisc(ji,2) = zvisc(ji,2) + zflagkb * avmu(ji,jj,jk ) |
|---|
| 661 | zvisc(ji,3) = zvisc(ji,3) + zflagkb * avmu(ji,jj,jk+1) |
|---|
| 662 | zvisc(ji,4) = zvisc(ji,4) + zflagkb * avmu(ji,jj,jkp2) |
|---|
| 663 | |
|---|
| 664 | zdift(ji,1) = zdift(ji,1) + zflagkb * avt (ji,jj,jkm1) |
|---|
| 665 | zdift(ji,2) = zdift(ji,2) + zflagkb * avt (ji,jj,jk ) |
|---|
| 666 | zdift(ji,3) = zdift(ji,3) + zflagkb * avt (ji,jj,jk+1) |
|---|
| 667 | zdift(ji,4) = zdift(ji,4) + zflagkb * avt (ji,jj,jkp2) |
|---|
| 668 | |
|---|
| 669 | #if defined key_zdfddm |
|---|
| 670 | zdifs(ji,1) = zdifs(ji,1) + zflagkb * avs (ji,jj,jkm1) |
|---|
| 671 | zdifs(ji,2) = zdifs(ji,2) + zflagkb * avs (ji,jj,jk ) |
|---|
| 672 | zdifs(ji,3) = zdifs(ji,3) + zflagkb * avs (ji,jj,jk+1) |
|---|
| 673 | zdifs(ji,4) = zdifs(ji,4) + zflagkb * avs (ji,jj,jkp2) |
|---|
| 674 | #endif |
|---|
| 675 | ! Save the Richardson number |
|---|
| 676 | zria (ji) = zrib |
|---|
| 677 | #if defined key_c1d |
|---|
| 678 | ! store buoyancy length scale |
|---|
| 679 | buof(ji,jj,jk) = zbuofdep * tmask(ji,jj,jk) |
|---|
| 680 | ! store Monin Obukhov |
|---|
| 681 | zmob = zstabl * zmob + ( 1.0 - zstabl) * fsdept(ji,jj,1) |
|---|
| 682 | mols(ji,jj,jk) = MIN( zmob , zhmax(ji) ) * tmask(ji,jj,jk) |
|---|
| 683 | ! Bulk Richardson number |
|---|
| 684 | rib(ji,jj,jk) = zrib * tmask(ji,jj,jk) |
|---|
| 685 | #endif |
|---|
| 686 | END DO |
|---|
| 687 | END DO |
|---|
| 688 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 689 | ! III PROCESS THE PIPE |
|---|
| 690 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 691 | |
|---|
| 692 | DO ji = fs_2, fs_jpim1 |
|---|
| 693 | |
|---|
| 694 | ! Find the boundary layer depth zhbl |
|---|
| 695 | ! ---------------------------------------- |
|---|
| 696 | |
|---|
| 697 | ! Interpolate monin Obukhov and critical Ri mumber depths |
|---|
| 698 | ztemp = zdept(ji,2) - zdept(ji,1) |
|---|
| 699 | zflag = ( Ricr - zriblk(ji,1) ) / ( zriblk(ji,2) - zriblk(ji,1) + epsln ) |
|---|
| 700 | zhrib = zdept(ji,1) + zflag * ztemp |
|---|
| 701 | |
|---|
| 702 | IF( zriblk(ji,2) < Ricr ) zhrib = zhmax(ji) |
|---|
| 703 | |
|---|
| 704 | IF( zmoek(ji,2) < zdept(ji,2) ) THEN |
|---|
| 705 | IF ( zmoek(ji,1) < 0. ) THEN |
|---|
| 706 | zmob = zdept(ji,2) - epsln |
|---|
| 707 | ELSE |
|---|
| 708 | zmob = ztemp + zmoek(ji,1) - zmoek(ji,2) |
|---|
| 709 | zmob = ( zmoek(ji,1) * zdept(ji,2) - zmoek(ji,2) * zdept(ji,1) ) / zmob |
|---|
| 710 | zmob = MAX( zmob , zdept(ji,1) + epsln ) |
|---|
| 711 | ENDIF |
|---|
| 712 | ELSE |
|---|
| 713 | zmob = zhmax(ji) |
|---|
| 714 | ENDIF |
|---|
| 715 | ztemp = MIN( zmob , zmoek(ji,0) ) |
|---|
| 716 | |
|---|
| 717 | ! Finally, the boundary layer depth, zhbl |
|---|
| 718 | zhbl(ji) = MAX( fsdept(ji,jj,1) + epsln, MIN( zhrib , ztemp ) ) |
|---|
| 719 | |
|---|
| 720 | ! Save hkpp for further diagnostics (optional) |
|---|
| 721 | hkpp(ji,jj) = zhbl(ji) * tmask(ji,jj,1) |
|---|
| 722 | |
|---|
| 723 | ! Correct mask if zhbl < fsdepw(ji,jj,2) for no viscosity/diffusivity enhancement at fsdepw(ji,jj,2) |
|---|
| 724 | ! zflag = 1 if zhbl(ji) > fsdepw(ji,jj,2) |
|---|
| 725 | IF( zhbl(ji) < fsdepw(ji,jj,2) ) zmask(ji,2) = 0. |
|---|
| 726 | |
|---|
| 727 | |
|---|
| 728 | ! Velocity scales at depth zhbl |
|---|
| 729 | ! ----------------------------------- |
|---|
| 730 | |
|---|
| 731 | ! Compute bouyancy forcing down to zhbl |
|---|
| 732 | ztemp = -hbf * zhbl(ji) |
|---|
| 733 | zatt1 = 1.0 - ( rabs * EXP( ztemp / xsi1 ) + ( 1.0 - rabs ) * EXP( ztemp / xsi2 ) ) |
|---|
| 734 | zbuofdep = zBo(ji,jj) + zBosol(ji,jj) * zatt1 |
|---|
| 735 | zstabl = 0.5 + SIGN( 0.5 , zbuofdep ) |
|---|
| 736 | |
|---|
| 737 | zbuofdep = zbuofdep + zstabl * epsln |
|---|
| 738 | |
|---|
| 739 | zscale = zstabl + ( 1.0 - zstabl ) * epsilon |
|---|
| 740 | zehat = vonk * zscale * zhbl(ji) * zbuofdep |
|---|
| 741 | zucube = zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj) |
|---|
| 742 | zeta = zehat / ( zucube + epsln ) |
|---|
| 743 | |
|---|
| 744 | IF( zehat > 0. ) THEN |
|---|
| 745 | ! Stable case |
|---|
| 746 | zws = vonk * zustar(ji,jj) / ( 1.0 + rconc1 * zeta ) |
|---|
| 747 | zwm = zws |
|---|
| 748 | ELSE |
|---|
| 749 | ! Unstable case |
|---|
| 750 | #if defined key_kpplktb |
|---|
| 751 | ! use lookup table |
|---|
| 752 | zd = zehat - dehatmin |
|---|
| 753 | il = INT( zd / dezehat ) |
|---|
| 754 | il = MIN( il, nilktbm1 ) |
|---|
| 755 | il = MAX( il, 1 ) |
|---|
| 756 | |
|---|
| 757 | ud = zustar(ji,jj) - ustmin |
|---|
| 758 | jl = INT( ud / deustar ) |
|---|
| 759 | jl = MIN( jl, njlktbm1 ) |
|---|
| 760 | jl = MAX( jl, 1 ) |
|---|
| 761 | |
|---|
| 762 | zfrac = zd / dezehat - FLOAT( il ) |
|---|
| 763 | ufrac = ud / deustar - FLOAT( jl ) |
|---|
| 764 | zwas = ( 1. - zfrac ) * wslktb(il,jl+1) + zfrac * wslktb(il+1,jl+1) |
|---|
| 765 | zwbs = ( 1. - zfrac ) * wslktb(il,jl ) + zfrac * wslktb(il+1,jl ) |
|---|
| 766 | zwam = ( 1. - zfrac ) * wmlktb(il,jl+1) + zfrac * wmlktb(il+1,jl+1) |
|---|
| 767 | zwbm = ( 1. - zfrac ) * wmlktb(il,jl ) + zfrac * wmlktb(il+1,jl ) |
|---|
| 768 | ! |
|---|
| 769 | zws = ( 1. - ufrac ) * zwbs + ufrac * zwas |
|---|
| 770 | zwm = ( 1. - ufrac ) * zwbm + ufrac * zwam |
|---|
| 771 | #else |
|---|
| 772 | ! use analytical functions |
|---|
| 773 | zconm = 0.5 + SIGN( 0.5, ( rzetam - zeta) ) |
|---|
| 774 | zcons = 0.5 + SIGN( 0.5, ( rzetas - zeta) ) |
|---|
| 775 | |
|---|
| 776 | ! Momentum : zeta < rzetam (zconm = 1) |
|---|
| 777 | ! Scalars : zeta < rzetas (zcons = 1) |
|---|
| 778 | zwconm = zustar(ji,jj) * vonk * ( ( ABS( rconam - rconcm * zeta) )**pthird ) |
|---|
| 779 | zwcons = zustar(ji,jj) * vonk * ( ( ABS( rconas - rconcs * zeta) )**pthird ) |
|---|
| 780 | |
|---|
| 781 | ! Momentum : rzetam <= zeta < 0 (zconm = 0) |
|---|
| 782 | ! Scalars : rzetas <= zeta < 0 (zcons = 0) |
|---|
| 783 | zwmun = SQRT( ABS( 1.0 - rconc2 * zeta ) ) |
|---|
| 784 | zwsun = vonk * zustar(ji,jj) * zwmun |
|---|
| 785 | zwmun = vonk * zustar(ji,jj) * SQRT(zwmun) |
|---|
| 786 | ! |
|---|
| 787 | zwm = zconm * zwconm + ( 1.0 - zconm ) * zwmun |
|---|
| 788 | zws = zcons * zwcons + ( 1.0 - zcons ) * zwsun |
|---|
| 789 | |
|---|
| 790 | #endif |
|---|
| 791 | ENDIF |
|---|
| 792 | |
|---|
| 793 | |
|---|
| 794 | ! Viscosity, diffusivity values and derivatives at h |
|---|
| 795 | ! -------------------------------------------------------- |
|---|
| 796 | |
|---|
| 797 | ! check between at which interfaces is located zhbl(ji) |
|---|
| 798 | ! ztemp = 1, zdepw(ji,2) < zhbl < zdepw(ji,3) |
|---|
| 799 | ! ztemp = 0, zdepw(ji,1) < zhbl < zdepw(ji,2) |
|---|
| 800 | ztemp = 0.5 + SIGN( 0.5, ( zhbl(ji) - zdepw(ji,2) ) ) |
|---|
| 801 | zdep21 = zdepw(ji,2) - zdepw(ji,1) + epsln |
|---|
| 802 | zdep32 = zdepw(ji,3) - zdepw(ji,2) + epsln |
|---|
| 803 | zdep43 = zdepw(ji,4) - zdepw(ji,3) + epsln |
|---|
| 804 | |
|---|
| 805 | ! Compute R as in LMD94, eq D5b |
|---|
| 806 | zdelta = ( zhbl(ji) - zdepw(ji,2) ) * ztemp / zdep32 & |
|---|
| 807 | & + ( zhbl(ji) - zdepw(ji,1) ) * ( 1.0 - ztemp ) / zdep21 |
|---|
| 808 | |
|---|
| 809 | ! Compute the vertical derivative of viscosities (zdzh) at z=zhbl(ji) |
|---|
| 810 | zdzup = ( zvisc(ji,2) - zvisc(ji,3) ) * ztemp / zdep32 & |
|---|
| 811 | & + ( zvisc(ji,1) - zvisc(ji,2) ) * ( 1.0 - ztemp ) / zdep21 |
|---|
| 812 | |
|---|
| 813 | zdzdn = ( zvisc(ji,3) - zvisc(ji,4) ) * ztemp / zdep43 & |
|---|
| 814 | & + ( zvisc(ji,2) - zvisc(ji,3) ) * ( 1.0 - ztemp ) / zdep32 |
|---|
| 815 | |
|---|
| 816 | ! LMD94, eq D5b : |
|---|
| 817 | zdzh = ( 1.0 - zdelta ) * zdzup + zdelta * zdzdn |
|---|
| 818 | zdzh = MAX( zdzh , 0. ) |
|---|
| 819 | |
|---|
| 820 | ! Compute viscosities (zvath) at z=zhbl(ji), LMD94 eq D5a |
|---|
| 821 | zvath = ztemp * ( zvisc(ji,3) + zdzh * ( zdepw(ji,3) - zhbl(ji) ) ) & |
|---|
| 822 | & + ( 1.0 - ztemp ) * ( zvisc(ji,2) + zdzh * ( zdepw(ji,2) - zhbl(ji) ) ) |
|---|
| 823 | |
|---|
| 824 | ! Compute G (zgat1) and its derivative (zdat1) at z=hbl(ji), LMD94 eq 18 |
|---|
| 825 | |
|---|
| 826 | ! Vertical derivative of velocity scale divided by velocity scale squared at z=hbl(ji) |
|---|
| 827 | ! (non zero only in stable conditions) |
|---|
| 828 | zflag = -zstabl * rconc1 * zbuofdep / ( zucube * zustar(ji,jj) + epsln ) |
|---|
| 829 | |
|---|
| 830 | ! G at its derivative at z=hbl: |
|---|
| 831 | zgat1 = zvath / ( zhbl(ji) * ( zwm + epsln ) ) |
|---|
| 832 | zdat1 = -zdzh / ( zwm + epsln ) - zflag * zvath / zhbl(ji) |
|---|
| 833 | |
|---|
| 834 | ! G coefficients, LMD94 eq 17 |
|---|
| 835 | za2m(ji) = -2.0 + 3.0 * zgat1 - zdat1 |
|---|
| 836 | za3m(ji) = 1.0 - 2.0 * zgat1 + zdat1 |
|---|
| 837 | |
|---|
| 838 | |
|---|
| 839 | ! Compute the vertical derivative of temperature diffusivities (zdzh) at z=zhbl(ji) |
|---|
| 840 | zdzup = ( zdift(ji,2) - zdift(ji,3) ) * ztemp / zdep32 & |
|---|
| 841 | & + ( zdift(ji,1) - zdift(ji,2) ) * ( 1.0 - ztemp ) / zdep21 |
|---|
| 842 | |
|---|
| 843 | zdzdn = ( zdift(ji,3) - zdift(ji,4) ) * ztemp / zdep43 & |
|---|
| 844 | & + ( zdift(ji,2) - zdift(ji,3) ) * ( 1.0 - ztemp ) / zdep32 |
|---|
| 845 | |
|---|
| 846 | ! LMD94, eq D5b : |
|---|
| 847 | zdzh = ( 1.0 - zdelta ) * zdzup + zdelta * zdzdn |
|---|
| 848 | zdzh = MAX( zdzh , 0. ) |
|---|
| 849 | |
|---|
| 850 | |
|---|
| 851 | ! Compute diffusivities (zvath) at z=zhbl(ji), LMD94 eq D5a |
|---|
| 852 | zvath = ztemp * ( zdift(ji,3) + zdzh * ( zdepw(ji,3) - zhbl(ji) ) ) & |
|---|
| 853 | & + ( 1.0 - ztemp ) * ( zdift(ji,2) + zdzh * ( zdepw(ji,2) - zhbl(ji) ) ) |
|---|
| 854 | |
|---|
| 855 | ! G at its derivative at z=hbl: |
|---|
| 856 | zgat1 = zvath / ( zhbl(ji) * ( zws + epsln ) ) |
|---|
| 857 | zdat1 = -zdzh / ( zws + epsln ) - zflag * zvath / zhbl(ji) |
|---|
| 858 | |
|---|
| 859 | ! G coefficients, LMD94 eq 17 |
|---|
| 860 | za2t(ji) = -2.0 + 3.0 * zgat1 - zdat1 |
|---|
| 861 | za3t(ji) = 1.0 - 2.0 * zgat1 + zdat1 |
|---|
| 862 | |
|---|
| 863 | #if defined key_zdfddm |
|---|
| 864 | ! Compute the vertical derivative of salinities diffusivities (zdzh) at z=zhbl(ji) |
|---|
| 865 | zdzup = ( zdifs(ji,2) - zdifs(ji,3) ) * ztemp / zdep32 & |
|---|
| 866 | & + ( zdifs(ji,1) - zdifs(ji,2) ) * ( 1.0 - ztemp ) / zdep21 |
|---|
| 867 | |
|---|
| 868 | zdzdn = ( zdifs(ji,3) - zdifs(ji,4) ) * ztemp / zdep43 & |
|---|
| 869 | & + ( zdifs(ji,2) - zdifs(ji,3) ) * ( 1.0 - ztemp ) / zdep32 |
|---|
| 870 | |
|---|
| 871 | ! LMD94, eq D5b : |
|---|
| 872 | zdzh = ( 1.0 - zdelta ) * zdzup + zdelta * zdzdn |
|---|
| 873 | zdzh = MAX( zdzh , 0. ) |
|---|
| 874 | |
|---|
| 875 | ! Compute diffusivities (zvath) at z=zhbl(ji), LMD94 eq D5a |
|---|
| 876 | zvath = ztemp * ( zdifs(ji,3) + zdzh * ( zdepw(ji,3) - zhbl(ji) ) ) & |
|---|
| 877 | & + ( 1.0 - ztemp ) * ( zdifs(ji,2) + zdzh * ( zdepw(ji,2) - zhbl(ji) ) ) |
|---|
| 878 | |
|---|
| 879 | ! G at its derivative at z=hbl: |
|---|
| 880 | zgat1 = zvath / ( zhbl(ji) * ( zws + epsln ) ) |
|---|
| 881 | zdat1 = -zdzh / ( zws + epsln ) - zflag * zvath / zhbl(ji) |
|---|
| 882 | |
|---|
| 883 | ! G coefficients, LMD94 eq 17 |
|---|
| 884 | za2s(ji) = -2.0 + 3.0 * zgat1 - zdat1 |
|---|
| 885 | za3s(ji) = 1.0 - 2.0 * zgat1 + zdat1 |
|---|
| 886 | #endif |
|---|
| 887 | |
|---|
| 888 | !-------------------turn off interior matching here------ |
|---|
| 889 | ! za2(ji,1) = -2.0 |
|---|
| 890 | ! za3(ji,1) = 1.0 |
|---|
| 891 | ! za2(ji,2) = -2.0 |
|---|
| 892 | ! za3(ji,2) = 1.0 |
|---|
| 893 | !-------------------------------------------------------- |
|---|
| 894 | |
|---|
| 895 | ! Compute Enhanced Mixing Coefficients (LMD94,eq D6) |
|---|
| 896 | ! --------------------------------------------------------------- |
|---|
| 897 | |
|---|
| 898 | ! Delta |
|---|
| 899 | zdelta = ( zhbl(ji) - zdept(ji,1) ) / ( zdept(ji,2) - zdept(ji,1) + epsln ) |
|---|
| 900 | zdelta2 = zdelta * zdelta |
|---|
| 901 | |
|---|
| 902 | ! Mixing coefficients at first level above h (zdept(ji,1)) |
|---|
| 903 | ! and at first interface in the pipe (zdepw(ji,2)) |
|---|
| 904 | |
|---|
| 905 | ! At first T level above h (zdept(ji,1)) (always in the boundary layer) |
|---|
| 906 | zsig = zdept(ji,1) / zhbl(ji) |
|---|
| 907 | ztemp = zstabl * zsig + ( 1.0 - zstabl ) * MIN( zsig , epsilon ) |
|---|
| 908 | zehat = vonk * ztemp * zhbl(ji) * zbuofdep |
|---|
| 909 | zeta = zehat / ( zucube + epsln) |
|---|
| 910 | zwst = vonk * zustar(ji,jj) / ( ABS( 1.0 + rconc1 * zeta ) + epsln) |
|---|
| 911 | zwm = zstabl * zwst + ( 1.0 - zstabl ) * zwm |
|---|
| 912 | zws = zstabl * zwst + ( 1.0 - zstabl ) * zws |
|---|
| 913 | |
|---|
| 914 | zkm1m = zhbl(ji) * zwm * zsig * ( 1.0 + zsig * ( za2m(ji) + zsig * za3m(ji) ) ) |
|---|
| 915 | zkm1t = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2t(ji) + zsig * za3t(ji) ) ) |
|---|
| 916 | #if defined key_zdfddm |
|---|
| 917 | zkm1s = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2s(ji) + zsig * za3s(ji) ) ) |
|---|
| 918 | #endif |
|---|
| 919 | ! At first W level in the pipe (zdepw(ji,2)) (not always in the boundary layer ): |
|---|
| 920 | zsig = MIN( zdepw(ji,2) / zhbl(ji) , 1.0 ) |
|---|
| 921 | ztemp = zstabl * zsig + ( 1.0 - zstabl ) * MIN( zsig , epsilon ) |
|---|
| 922 | zehat = vonk * ztemp * zhbl(ji) * zbuofdep |
|---|
| 923 | zeta = zehat / ( zucube + epsln ) |
|---|
| 924 | zwst = vonk * zustar(ji,jj) / ( ABS( 1.0 + rconc1 * zeta ) + epsln) |
|---|
| 925 | zws = zstabl * zws + ( 1.0 - zstabl ) * zws |
|---|
| 926 | zwm = zstabl * zws + ( 1.0 - zstabl ) * zwm |
|---|
| 927 | |
|---|
| 928 | zkmpm(ji) = zhbl(ji) * zwm * zsig * ( 1.0 + zsig * ( za2m(ji) + zsig * za3m(ji) ) ) |
|---|
| 929 | zkmpt(ji) = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2t(ji) + zsig * za3t(ji) ) ) |
|---|
| 930 | #if defined key_zdfddm |
|---|
| 931 | zkmps(ji) = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2s(ji) + zsig * za3s(ji) ) ) |
|---|
| 932 | #endif |
|---|
| 933 | |
|---|
| 934 | ! check if this point is in the boundary layer,else take interior viscosity/diffusivity: |
|---|
| 935 | zflag = 0.5 + SIGN( 0.5, ( zhbl(ji) - zdepw(ji,2) ) ) |
|---|
| 936 | zkmpm(ji) = zkmpm(ji) * zflag + ( 1.0 - zflag ) * zvisc(ji,2) |
|---|
| 937 | zkmpt(ji) = zkmpt(ji) * zflag + ( 1.0 - zflag ) * zdift(ji,2) |
|---|
| 938 | #if defined key_zdfddm |
|---|
| 939 | zkmps(ji) = zkmps(ji) * zflag + ( 1.0 - zflag ) * zdifs(ji,2) |
|---|
| 940 | #endif |
|---|
| 941 | |
|---|
| 942 | ! Enhanced viscosity/diffusivity at zdepw(ji,2) |
|---|
| 943 | ztemp = ( 1.0 - 2.0 * zdelta + zdelta2 ) * zkm1m + zdelta2 * zkmpm(ji) |
|---|
| 944 | zkmpm(ji) = ( 1.0 - zdelta ) * zvisc(ji,2) + zdelta * ztemp |
|---|
| 945 | ztemp = ( 1.0 - 2.0 * zdelta + zdelta2 ) * zkm1t + zdelta2 * zkmpt(ji) |
|---|
| 946 | zkmpt(ji) = ( 1.0 - zdelta ) * zdift(ji,2) + zdelta * ztemp |
|---|
| 947 | #if defined key_zdfddm |
|---|
| 948 | ztemp = ( 1.0 - 2.0 * zdelta + zdelta2 ) * zkm1s + zdelta2 * zkmps(ji) |
|---|
| 949 | zkmps(ji) = ( 1.0 - zdelta ) * zdifs(ji,2) + zdelta * ztemp |
|---|
| 950 | #endif |
|---|
| 951 | |
|---|
| 952 | END DO |
|---|
| 953 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
|---|
| 954 | ! IV. Compute vertical eddy viscosity and diffusivity coefficients |
|---|
| 955 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 956 | |
|---|
| 957 | DO jk = 2, jkmax |
|---|
| 958 | |
|---|
| 959 | ! Compute turbulent velocity scales on the interfaces |
|---|
| 960 | ! -------------------------------------------------------- |
|---|
| 961 | DO ji = fs_2, fs_jpim1 |
|---|
| 962 | zbuofdep = zBo(ji,jj) + zBosol(ji,jj) * zatt1 |
|---|
| 963 | zstabl = 0.5 + SIGN( 0.5 , zbuofdep ) |
|---|
| 964 | zbuofdep = zbuofdep + zstabl * epsln |
|---|
| 965 | zsig = fsdepw(ji,jj,jk) / zhbl(ji) |
|---|
| 966 | ztemp = zstabl * zsig + ( 1. - zstabl ) * MIN( zsig , epsilon ) |
|---|
| 967 | zehat = vonk * ztemp * zhbl(ji) * zbuofdep |
|---|
| 968 | zucube = zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj) |
|---|
| 969 | zeta = zehat / ( zucube + epsln ) |
|---|
| 970 | |
|---|
| 971 | IF( zehat > 0. ) THEN |
|---|
| 972 | ! Stable case |
|---|
| 973 | zws = vonk * zustar(ji,jj) / ( 1.0 + rconc1 * zeta ) |
|---|
| 974 | zwm = zws |
|---|
| 975 | ELSE |
|---|
| 976 | ! Unstable case |
|---|
| 977 | #if defined key_kpplktb |
|---|
| 978 | ! use lookup table |
|---|
| 979 | zd = zehat - dehatmin |
|---|
| 980 | il = INT( zd / dezehat ) |
|---|
| 981 | il = MIN( il, nilktbm1 ) |
|---|
| 982 | il = MAX( il, 1 ) |
|---|
| 983 | |
|---|
| 984 | ud = zustar(ji,jj) - ustmin |
|---|
| 985 | jl = INT( ud / deustar ) |
|---|
| 986 | jl = MIN( jl, njlktbm1 ) |
|---|
| 987 | jl = MAX( jl, 1 ) |
|---|
| 988 | |
|---|
| 989 | zfrac = zd / dezehat - FLOAT( il ) |
|---|
| 990 | ufrac = ud / deustar - FLOAT( jl ) |
|---|
| 991 | zwas = ( 1. - zfrac ) * wslktb(il,jl+1) + zfrac * wslktb(il+1,jl+1) |
|---|
| 992 | zwbs = ( 1. - zfrac ) * wslktb(il,jl ) + zfrac * wslktb(il+1,jl ) |
|---|
| 993 | zwam = ( 1. - zfrac ) * wmlktb(il,jl+1) + zfrac * wmlktb(il+1,jl+1) |
|---|
| 994 | zwbm = ( 1. - zfrac ) * wmlktb(il,jl ) + zfrac * wmlktb(il+1,jl ) |
|---|
| 995 | ! |
|---|
| 996 | zws = ( 1. - ufrac ) * zwbs + ufrac * zwas |
|---|
| 997 | zwm = ( 1. - ufrac ) * zwbm + ufrac * zwam |
|---|
| 998 | #else |
|---|
| 999 | ! use analytical functions |
|---|
| 1000 | zconm = 0.5 + SIGN( 0.5, ( rzetam - zeta) ) |
|---|
| 1001 | zcons = 0.5 + SIGN( 0.5, ( rzetas - zeta) ) |
|---|
| 1002 | |
|---|
| 1003 | ! Momentum : zeta < rzetam (zconm = 1) |
|---|
| 1004 | ! Scalars : zeta < rzetas (zcons = 1) |
|---|
| 1005 | zwconm = zustar(ji,jj) * vonk * ( ( ABS( rconam - rconcm * zeta) )**pthird ) |
|---|
| 1006 | zwcons = zustar(ji,jj) * vonk * ( ( ABS( rconas - rconcs * zeta) )**pthird ) |
|---|
| 1007 | |
|---|
| 1008 | ! Momentum : rzetam <= zeta < 0 (zconm = 0) |
|---|
| 1009 | ! Scalars : rzetas <= zeta < 0 (zcons = 0) |
|---|
| 1010 | zwmun = SQRT( ABS( 1.0 - rconc2 * zeta ) ) |
|---|
| 1011 | zwsun = vonk * zustar(ji,jj) * zwmun |
|---|
| 1012 | zwmun = vonk * zustar(ji,jj) * SQRT(zwmun) |
|---|
| 1013 | ! |
|---|
| 1014 | zwm = zconm * zwconm + ( 1.0 - zconm ) * zwmun |
|---|
| 1015 | zws = zcons * zwcons + ( 1.0 - zcons ) * zwsun |
|---|
| 1016 | |
|---|
| 1017 | #endif |
|---|
| 1018 | ENDIF |
|---|
| 1019 | |
|---|
| 1020 | zblcm(ji,jk) = zhbl(ji) * zwm * zsig * ( 1.0 + zsig * ( za2m(ji) + zsig * za3m(ji) ) ) |
|---|
| 1021 | zblct(ji,jk) = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2t(ji) + zsig * za3t(ji) ) ) |
|---|
| 1022 | #if defined key_zdfddm |
|---|
| 1023 | zblcs(ji,jk) = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2s(ji) + zsig * za3s(ji) ) ) |
|---|
| 1024 | #endif |
|---|
| 1025 | ! Compute Nonlocal transport term = ghats * <ws>o |
|---|
| 1026 | ! ---------------------------------------------------- |
|---|
| 1027 | ghats(ji,jj,jk-1) = ( 1. - zstabl ) * rcg / ( zws * zhbl(ji) + epsln ) * tmask(ji,jj,jk) |
|---|
| 1028 | |
|---|
| 1029 | END DO |
|---|
| 1030 | END DO |
|---|
| 1031 | ! Combine interior and boundary layer coefficients and nonlocal term |
|---|
| 1032 | ! ----------------------------------------------------------------------- |
|---|
| 1033 | DO jk = 2, jpkm1 |
|---|
| 1034 | DO ji = fs_2, fs_jpim1 |
|---|
| 1035 | zflag = zmask(ji,jk) * zmask(ji,jk+1) |
|---|
| 1036 | zviscos(ji,jj,jk) = ( 1.0 - zmask(ji,jk) ) * avmu (ji,jj,jk) & ! interior viscosities |
|---|
| 1037 | & + zflag * zblcm(ji,jk ) & ! boundary layer viscosities |
|---|
| 1038 | & + zmask(ji,jk) * ( 1.0 - zflag ) * zkmpm(ji ) ! viscosity enhancement at W_level near zhbl |
|---|
| 1039 | |
|---|
| 1040 | zviscos(ji,jj,jk) = zviscos(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 1041 | |
|---|
| 1042 | |
|---|
| 1043 | zdiffut(ji,jj,jk) = ( 1.0 - zmask(ji,jk) ) * avt (ji,jj,jk) & ! interior diffusivities |
|---|
| 1044 | & + zflag * zblct(ji,jk ) & ! boundary layer diffusivities |
|---|
| 1045 | & + zmask(ji,jk) * ( 1.0 - zflag ) * zkmpt(ji ) ! diffusivity enhancement at W_level near zhbl |
|---|
| 1046 | |
|---|
| 1047 | zdiffut(ji,jj,jk) = zdiffut(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 1048 | #if defined key_zdfddm |
|---|
| 1049 | zdiffus(ji,jj,jk) = ( 1.0 - zmask(ji,jk) ) * avs (ji,jj,jk) & ! interior diffusivities |
|---|
| 1050 | & + zflag * zblcs(ji,jk ) & ! boundary layer diffusivities |
|---|
| 1051 | & + zmask(ji,jk) * ( 1.0 - zflag ) * zkmps(ji ) ! diffusivity enhancement at W_level near zhbl |
|---|
| 1052 | |
|---|
| 1053 | zdiffus(ji,jj,jk) = zdiffus(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 1054 | #endif |
|---|
| 1055 | ! Non local flux in the boundary layer only |
|---|
| 1056 | ghats(ji,jj,jk-1) = zmask(ji,jk) * ghats(ji,jj,jk-1) |
|---|
| 1057 | |
|---|
| 1058 | ENDDO |
|---|
| 1059 | END DO |
|---|
| 1060 | ! ! =============== |
|---|
| 1061 | END DO ! End of slab |
|---|
| 1062 | ! ! =============== |
|---|
| 1063 | |
|---|
| 1064 | ! Lateral boundary conditions on zvicos and zdiffus (sign unchanged) |
|---|
| 1065 | CALL lbc_lnk( zviscos(:,:,:), 'U', 1. ) ; CALL lbc_lnk( zdiffut(:,:,:), 'W', 1. ) |
|---|
| 1066 | #if defined key_zdfddm |
|---|
| 1067 | CALL lbc_lnk( zdiffus(:,:,:), 'W', 1. ) |
|---|
| 1068 | #endif |
|---|
| 1069 | |
|---|
| 1070 | SELECT CASE ( nn_ave ) |
|---|
| 1071 | ! |
|---|
| 1072 | CASE ( 0 ) ! no viscosity and diffusivity smoothing |
|---|
| 1073 | |
|---|
| 1074 | DO jk = 2, jpkm1 |
|---|
| 1075 | DO jj = 2, jpjm1 |
|---|
| 1076 | DO ji = fs_2, fs_jpim1 |
|---|
| 1077 | avmu(ji,jj,jk) = ( zviscos(ji,jj,jk) + zviscos(ji+1,jj,jk) ) & |
|---|
| 1078 | & / MAX( 1., tmask(ji,jj,jk) + tmask (ji + 1,jj,jk) ) * umask(ji,jj,jk) |
|---|
| 1079 | |
|---|
| 1080 | avmv(ji,jj,jk) = ( zviscos(ji,jj,jk) + zviscos(ji,jj+1,jk) ) & |
|---|
| 1081 | & / MAX( 1., tmask(ji,jj,jk) + tmask (ji,jj+1,jk) ) * vmask(ji,jj,jk) |
|---|
| 1082 | |
|---|
| 1083 | avt (ji,jj,jk) = zdiffut(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 1084 | #if defined key_zdfddm |
|---|
| 1085 | avs (ji,jj,jk) = zdiffus(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 1086 | #endif |
|---|
| 1087 | END DO |
|---|
| 1088 | END DO |
|---|
| 1089 | END DO |
|---|
| 1090 | |
|---|
| 1091 | CASE ( 1 ) ! viscosity and diffusivity smoothing |
|---|
| 1092 | ! |
|---|
| 1093 | ! ( 1/2 1 1/2 ) ( 1/2 1/2 ) ( 1/2 1 1/2 ) |
|---|
| 1094 | ! avt = 1/8 ( 1 2 1 ) avmu = 1/4 ( 1 1 ) avmv= 1/4 ( 1/2 1 1/2 ) |
|---|
| 1095 | ! ( 1/2 1 1/2 ) ( 1/2 1/2 ) |
|---|
| 1096 | |
|---|
| 1097 | DO jk = 2, jpkm1 |
|---|
| 1098 | DO jj = 2, jpjm1 |
|---|
| 1099 | DO ji = fs_2, fs_jpim1 |
|---|
| 1100 | |
|---|
| 1101 | avmu(ji,jj,jk) = ( zviscos(ji ,jj ,jk) + zviscos(ji+1,jj ,jk) & |
|---|
| 1102 | & +.5*( zviscos(ji ,jj-1,jk) + zviscos(ji+1,jj-1,jk) & |
|---|
| 1103 | & +zviscos(ji ,jj+1,jk) + zviscos(ji+1,jj+1,jk) ) ) * eumean(ji,jj,jk) |
|---|
| 1104 | |
|---|
| 1105 | avmv(ji,jj,jk) = ( zviscos(ji ,jj ,jk) + zviscos(ji ,jj+1,jk) & |
|---|
| 1106 | & +.5*( zviscos(ji-1,jj ,jk) + zviscos(ji-1,jj+1,jk) & |
|---|
| 1107 | & +zviscos(ji+1,jj ,jk) + zviscos(ji+1,jj+1,jk) ) ) * evmean(ji,jj,jk) |
|---|
| 1108 | |
|---|
| 1109 | avt (ji,jj,jk) = ( .5*( zdiffut(ji-1,jj+1,jk) + zdiffut(ji-1,jj-1,jk) & |
|---|
| 1110 | & +zdiffut(ji+1,jj+1,jk) + zdiffut(ji+1,jj-1,jk) ) & |
|---|
| 1111 | & +1.*( zdiffut(ji-1,jj ,jk) + zdiffut(ji ,jj+1,jk) & |
|---|
| 1112 | & +zdiffut(ji ,jj-1,jk) + zdiffut(ji+1,jj ,jk) ) & |
|---|
| 1113 | & +2.* zdiffut(ji ,jj ,jk) ) * etmean(ji,jj,jk) |
|---|
| 1114 | #if defined key_zdfddm |
|---|
| 1115 | avs (ji,jj,jk) = ( .5*( zdiffus(ji-1,jj+1,jk) + zdiffus(ji-1,jj-1,jk) & |
|---|
| 1116 | & +zdiffus(ji+1,jj+1,jk) + zdiffus(ji+1,jj-1,jk) ) & |
|---|
| 1117 | & +1.*( zdiffus(ji-1,jj ,jk) + zdiffus(ji ,jj+1,jk) & |
|---|
| 1118 | & +zdiffus(ji ,jj-1,jk) + zdiffus(ji+1,jj ,jk) ) & |
|---|
| 1119 | & +2.* zdiffus(ji ,jj ,jk) ) * etmean(ji,jj,jk) |
|---|
| 1120 | #endif |
|---|
| 1121 | END DO |
|---|
| 1122 | END DO |
|---|
| 1123 | END DO |
|---|
| 1124 | |
|---|
| 1125 | END SELECT |
|---|
| 1126 | |
|---|
| 1127 | DO jk = 2, jpkm1 ! vertical slab |
|---|
| 1128 | ! |
|---|
| 1129 | ! Minimum value on the eddy diffusivity |
|---|
| 1130 | ! ---------------------------------------- |
|---|
| 1131 | DO jj = 2, jpjm1 |
|---|
| 1132 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 1133 | avt(ji,jj,jk) = MAX( avt(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk) |
|---|
| 1134 | #if defined key_zdfddm |
|---|
| 1135 | avs(ji,jj,jk) = MAX( avs(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk) |
|---|
| 1136 | #endif |
|---|
| 1137 | END DO |
|---|
| 1138 | END DO |
|---|
| 1139 | |
|---|
| 1140 | ! |
|---|
| 1141 | ! Minimum value on the eddy viscosity |
|---|
| 1142 | ! ---------------------------------------- |
|---|
| 1143 | DO jj = 1, jpj |
|---|
| 1144 | DO ji = 1, jpi |
|---|
| 1145 | avmu(ji,jj,jk) = MAX( avmu(ji,jj,jk), avmb(jk) ) * umask(ji,jj,jk) |
|---|
| 1146 | avmv(ji,jj,jk) = MAX( avmv(ji,jj,jk), avmb(jk) ) * vmask(ji,jj,jk) |
|---|
| 1147 | END DO |
|---|
| 1148 | END DO |
|---|
| 1149 | ! |
|---|
| 1150 | END DO |
|---|
| 1151 | |
|---|
| 1152 | ! Lateral boundary conditions on avt (sign unchanged) |
|---|
| 1153 | CALL lbc_lnk( hkpp(:,:), 'T', 1. ) |
|---|
| 1154 | |
|---|
| 1155 | ! Lateral boundary conditions on avt (sign unchanged) |
|---|
| 1156 | CALL lbc_lnk( avt(:,:,:), 'W', 1. ) |
|---|
| 1157 | #if defined key_zdfddm |
|---|
| 1158 | CALL lbc_lnk( avs(:,:,:), 'W', 1. ) |
|---|
| 1159 | #endif |
|---|
| 1160 | ! Lateral boundary conditions (avmu,avmv) (U- and V- points, sign unchanged) |
|---|
| 1161 | CALL lbc_lnk( avmu(:,:,:), 'U', 1. ) ; CALL lbc_lnk( avmv(:,:,:), 'V', 1. ) |
|---|
| 1162 | |
|---|
| 1163 | IF(ln_ctl) THEN |
|---|
| 1164 | #if defined key_zdfddm |
|---|
| 1165 | CALL prt_ctl(tab3d_1=avt , clinfo1=' kpp - t: ', tab3d_2=avs , clinfo2=' s: ', ovlap=1, kdim=jpk) |
|---|
| 1166 | #else |
|---|
| 1167 | CALL prt_ctl(tab3d_1=avt , clinfo1=' kpp - t: ', ovlap=1, kdim=jpk) |
|---|
| 1168 | #endif |
|---|
| 1169 | CALL prt_ctl(tab3d_1=avmu, clinfo1=' kpp - u: ', mask1=umask, & |
|---|
| 1170 | & tab3d_2=avmv, clinfo2= ' v: ', mask2=vmask, ovlap=1, kdim=jpk) |
|---|
| 1171 | ENDIF |
|---|
| 1172 | |
|---|
| 1173 | END SUBROUTINE zdf_kpp |
|---|
| 1174 | |
|---|
| 1175 | |
|---|
| 1176 | SUBROUTINE tra_kpp( kt ) |
|---|
| 1177 | !!---------------------------------------------------------------------- |
|---|
| 1178 | !! *** ROUTINE tra_kpp *** |
|---|
| 1179 | !! |
|---|
| 1180 | !! ** Purpose : compute and add to the tracer trend the non-local tracer flux |
|---|
| 1181 | !! |
|---|
| 1182 | !! ** Method : ??? |
|---|
| 1183 | !!---------------------------------------------------------------------- |
|---|
| 1184 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrdt, ztrds ! 3D workspace |
|---|
| 1185 | !!---------------------------------------------------------------------- |
|---|
| 1186 | INTEGER, INTENT(in) :: kt |
|---|
| 1187 | INTEGER :: ji, jj, jk |
|---|
| 1188 | |
|---|
| 1189 | IF( kt == nit000 ) THEN |
|---|
| 1190 | IF(lwp) WRITE(numout,*) |
|---|
| 1191 | IF(lwp) WRITE(numout,*) 'tra_kpp : KPP non-local tracer fluxes' |
|---|
| 1192 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
|---|
| 1193 | ENDIF |
|---|
| 1194 | |
|---|
| 1195 | IF( l_trdtra ) THEN !* Save ta and sa trends |
|---|
| 1196 | ALLOCATE( ztrdt(jpi,jpj,jpk) ) ; ztrdt(:,:,:) = tsa(:,:,:,jp_tem) |
|---|
| 1197 | ALLOCATE( ztrds(jpi,jpj,jpk) ) ; ztrds(:,:,:) = tsa(:,:,:,jp_sal) |
|---|
| 1198 | ENDIF |
|---|
| 1199 | |
|---|
| 1200 | ! add non-local temperature and salinity flux ( in convective case only) |
|---|
| 1201 | DO jk = 1, jpkm1 |
|---|
| 1202 | DO jj = 2, jpjm1 |
|---|
| 1203 | DO ji = fs_2, fs_jpim1 |
|---|
| 1204 | tsa(ji,jj,jk,jp_tem) = tsa(ji,jj,jk,jp_tem) & |
|---|
| 1205 | & - ( ghats(ji,jj,jk ) * avt (ji,jj,jk ) & |
|---|
| 1206 | & - ghats(ji,jj,jk+1) * avt (ji,jj,jk+1) ) * wt0(ji,jj) / fse3t(ji,jj,jk) |
|---|
| 1207 | tsa(ji,jj,jk,jp_sal) = tsa(ji,jj,jk,jp_sal) & |
|---|
| 1208 | & - ( ghats(ji,jj,jk ) * fsavs(ji,jj,jk ) & |
|---|
| 1209 | & - ghats(ji,jj,jk+1) * fsavs(ji,jj,jk+1) ) * ws0(ji,jj) / fse3t(ji,jj,jk) |
|---|
| 1210 | END DO |
|---|
| 1211 | END DO |
|---|
| 1212 | END DO |
|---|
| 1213 | |
|---|
| 1214 | ! save the non-local tracer flux trends for diagnostic |
|---|
| 1215 | IF( l_trdtra ) THEN |
|---|
| 1216 | ztrdt(:,:,:) = tsa(:,:,:,jp_tem) - ztrdt(:,:,:) |
|---|
| 1217 | ztrds(:,:,:) = tsa(:,:,:,jp_sal) - ztrds(:,:,:) |
|---|
| 1218 | !!bug gm jpttdzdf ==> jpttkpp |
|---|
| 1219 | CALL trd_tra( kt, 'TRA', jp_tem, jptra_trd_zdf, ztrdt ) |
|---|
| 1220 | CALL trd_tra( kt, 'TRA', jp_sal, jptra_trd_zdf, ztrds ) |
|---|
| 1221 | DEALLOCATE( ztrdt ) ; DEALLOCATE( ztrds ) |
|---|
| 1222 | ENDIF |
|---|
| 1223 | |
|---|
| 1224 | IF(ln_ctl) THEN |
|---|
| 1225 | CALL prt_ctl( tab3d_1=tsa(:,:,:,jp_tem), clinfo1=' kpp - Ta: ', mask1=tmask, & |
|---|
| 1226 | & tab3d_2=tsa(:,:,:,jp_sal), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
|---|
| 1227 | ENDIF |
|---|
| 1228 | |
|---|
| 1229 | END SUBROUTINE tra_kpp |
|---|
| 1230 | |
|---|
| 1231 | #if defined key_top |
|---|
| 1232 | !!---------------------------------------------------------------------- |
|---|
| 1233 | !! 'key_top' TOP models |
|---|
| 1234 | !!---------------------------------------------------------------------- |
|---|
| 1235 | SUBROUTINE trc_kpp( kt ) |
|---|
| 1236 | !!---------------------------------------------------------------------- |
|---|
| 1237 | !! *** ROUTINE trc_kpp *** |
|---|
| 1238 | !! |
|---|
| 1239 | !! ** Purpose : compute and add to the tracer trend the non-local |
|---|
| 1240 | !! tracer flux |
|---|
| 1241 | !! |
|---|
| 1242 | !! ** Method : ??? |
|---|
| 1243 | !! |
|---|
| 1244 | !! history : |
|---|
| 1245 | !! 9.0 ! 2005-11 (G. Madec) Original code |
|---|
| 1246 | !! NEMO 3.3 ! 2010-06 (C. Ethe ) Adapted to passive tracers |
|---|
| 1247 | !!---------------------------------------------------------------------- |
|---|
| 1248 | USE trc |
|---|
| 1249 | USE prtctl_trc ! Print control |
|---|
| 1250 | !! * Arguments |
|---|
| 1251 | INTEGER , INTENT( in ) :: kt ! ocean time-step index |
|---|
| 1252 | !! * Local declarations |
|---|
| 1253 | INTEGER :: ji, jj, jk, jn ! Dummy loop indices |
|---|
| 1254 | REAL(wp) :: ztra, zflx |
|---|
| 1255 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrtrd |
|---|
| 1256 | !!---------------------------------------------------------------------- |
|---|
| 1257 | |
|---|
| 1258 | IF( kt == nit000 ) THEN |
|---|
| 1259 | IF(lwp) WRITE(numout,*) |
|---|
| 1260 | IF(lwp) WRITE(numout,*) 'trc_kpp : KPP non-local tracer fluxes' |
|---|
| 1261 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
|---|
| 1262 | ENDIF |
|---|
| 1263 | |
|---|
| 1264 | IF( l_trdtrc ) ALLOCATE( ztrtrd(jpi,jpj,jpk) ) |
|---|
| 1265 | ! |
|---|
| 1266 | DO jn = 1, jptra |
|---|
| 1267 | ! |
|---|
| 1268 | IF( l_trdtrc ) ztrtrd(:,:,:) = tra(:,:,:,jn) |
|---|
| 1269 | ! add non-local on passive tracer flux ( in convective case only) |
|---|
| 1270 | DO jk = 1, jpkm1 |
|---|
| 1271 | DO jj = 2, jpjm1 |
|---|
| 1272 | DO ji = fs_2, fs_jpim1 |
|---|
| 1273 | ! Surface tracer flux for non-local term |
|---|
| 1274 | zflx = - ( emps(ji,jj) * tra(ji,jj,1,jn) * rcs ) * tmask(ji,jj,1) |
|---|
| 1275 | ! compute the trend |
|---|
| 1276 | ztra = - ( ghats(ji,jj,jk ) * fsavs(ji,jj,jk ) & |
|---|
| 1277 | & - ghats(ji,jj,jk+1) * fsavs(ji,jj,jk+1) ) * zflx / fse3t(ji,jj,jk) |
|---|
| 1278 | ! add the trend to the general trend |
|---|
| 1279 | tra(ji,jj,jk,jn) = tra(ji,jj,jk,jn) + ztra |
|---|
| 1280 | END DO |
|---|
| 1281 | END DO |
|---|
| 1282 | END DO |
|---|
| 1283 | ! save the non-local tracer flux trends for diagnostic |
|---|
| 1284 | IF( l_trdtrc ) ztrtrd(:,:,:) = tra(:,:,:,jn) - ztrtrd(:,:,:) |
|---|
| 1285 | CALL trd_tra( kt, 'TRC', jn, jptra_trd_zdf, ztrtrd(:,:,:,jn) ) |
|---|
| 1286 | ! |
|---|
| 1287 | END DO |
|---|
| 1288 | IF( l_trdtrc ) DEALLOCATE( ztrtrd ) |
|---|
| 1289 | IF( ln_ctl ) THEN |
|---|
| 1290 | WRITE(charout, FMT="(' kpp')") ; CALL prt_ctl_trc_info(charout) |
|---|
| 1291 | CALL prt_ctl_trc( tab4d=tra, mask=tmask, clinfo=clname, clinfo2='trd' ) |
|---|
| 1292 | ENDIF |
|---|
| 1293 | ! |
|---|
| 1294 | END SUBROUTINE trc_kpp |
|---|
| 1295 | #endif |
|---|
| 1296 | |
|---|
| 1297 | SUBROUTINE zdf_kpp_init |
|---|
| 1298 | !!---------------------------------------------------------------------- |
|---|
| 1299 | !! *** ROUTINE zdf_kpp_init *** |
|---|
| 1300 | !! |
|---|
| 1301 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
|---|
| 1302 | !! viscosity when using a kpp turbulent closure scheme |
|---|
| 1303 | !! |
|---|
| 1304 | !! ** Method : Read the namkpp namelist and check the parameters |
|---|
| 1305 | !! called at the first timestep (nit000) |
|---|
| 1306 | !! |
|---|
| 1307 | !! ** input : Namlist namkpp |
|---|
| 1308 | !!---------------------------------------------------------------------- |
|---|
| 1309 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 1310 | #if ! defined key_kppcustom |
|---|
| 1311 | INTEGER :: jm ! dummy loop indices |
|---|
| 1312 | REAL(wp) :: zref, zdist ! tempory scalars |
|---|
| 1313 | #endif |
|---|
| 1314 | #if defined key_kpplktb |
|---|
| 1315 | REAL(wp) :: zustar, zucube, zustvk, zeta, zehat ! tempory scalars |
|---|
| 1316 | #endif |
|---|
| 1317 | REAL(wp) :: zhbf ! tempory scalars |
|---|
| 1318 | LOGICAL :: ll_kppcustom ! 1st ocean level taken as surface layer |
|---|
| 1319 | LOGICAL :: ll_kpplktb ! Lookup table for turbul. velocity scales |
|---|
| 1320 | !! |
|---|
| 1321 | NAMELIST/namzdf_kpp/ ln_kpprimix, rn_difmiw, rn_difsiw, rn_riinfty, rn_difri, rn_bvsqcon, rn_difcon, nn_ave |
|---|
| 1322 | !!---------------------------------------------------------------------- |
|---|
| 1323 | |
|---|
| 1324 | REWIND ( numnam ) ! Read Namelist namkpp : K-Profile Parameterisation |
|---|
| 1325 | READ ( numnam, namzdf_kpp ) |
|---|
| 1326 | |
|---|
| 1327 | IF(lwp) THEN ! Control print |
|---|
| 1328 | WRITE(numout,*) |
|---|
| 1329 | WRITE(numout,*) 'zdf_kpp_init : K-Profile Parameterisation' |
|---|
| 1330 | WRITE(numout,*) '~~~~~~~~~~~~' |
|---|
| 1331 | WRITE(numout,*) ' Namelist namzdf_kpp : set tke mixing parameters' |
|---|
| 1332 | WRITE(numout,*) ' Shear instability mixing ln_kpprimix = ', ln_kpprimix |
|---|
| 1333 | WRITE(numout,*) ' max. internal wave viscosity rn_difmiw = ', rn_difmiw |
|---|
| 1334 | WRITE(numout,*) ' max. internal wave diffusivity rn_difsiw = ', rn_difsiw |
|---|
| 1335 | WRITE(numout,*) ' Richardson Number limit for shear instability rn_riinfty = ', rn_riinfty |
|---|
| 1336 | WRITE(numout,*) ' max. shear mixing at Rig = 0 rn_difri = ', rn_difri |
|---|
| 1337 | WRITE(numout,*) ' Brunt-Vaisala squared for max. convection rn_bvsqcon = ', rn_bvsqcon |
|---|
| 1338 | WRITE(numout,*) ' max. mix. in interior convec. rn_difcon = ', rn_difcon |
|---|
| 1339 | WRITE(numout,*) ' horizontal average flag nn_ave = ', nn_ave |
|---|
| 1340 | ENDIF |
|---|
| 1341 | |
|---|
| 1342 | ll_kppcustom = .FALSE. |
|---|
| 1343 | ll_kpplktb = .FALSE. |
|---|
| 1344 | |
|---|
| 1345 | #if defined key_kppcustom |
|---|
| 1346 | ll_kppcustom = .TRUE. |
|---|
| 1347 | #endif |
|---|
| 1348 | #if defined key_kpplktb |
|---|
| 1349 | ll_kpplktb = .TRUE. |
|---|
| 1350 | #endif |
|---|
| 1351 | IF(lwp) THEN |
|---|
| 1352 | WRITE(numout,*) ' Lookup table for turbul. velocity scales ll_kpplktb = ', ll_kpplktb |
|---|
| 1353 | WRITE(numout,*) ' 1st ocean level taken as surface layer ll_kppcustom = ', ll_kppcustom |
|---|
| 1354 | ENDIF |
|---|
| 1355 | |
|---|
| 1356 | IF( lk_zdfddm) THEN |
|---|
| 1357 | IF(lwp) THEN |
|---|
| 1358 | WRITE(numout,*) |
|---|
| 1359 | WRITE(numout,*) ' Double diffusion mixing on temperature and salinity ' |
|---|
| 1360 | WRITE(numout,*) ' CAUTION : done in routine zdfkpp, not in routine zdfddm ' |
|---|
| 1361 | ENDIF |
|---|
| 1362 | ENDIF |
|---|
| 1363 | |
|---|
| 1364 | |
|---|
| 1365 | |
|---|
| 1366 | !set constants not in namelist |
|---|
| 1367 | !----------------------------- |
|---|
| 1368 | Vtc = rconcv * SQRT( 0.2 / ( rconcs * epsilon ) ) / ( vonk * vonk * Ricr ) |
|---|
| 1369 | rcg = rcstar * vonk * ( rconcs * vonk * epsilon )**pthird |
|---|
| 1370 | |
|---|
| 1371 | IF(lwp) THEN |
|---|
| 1372 | WRITE(numout,*) |
|---|
| 1373 | WRITE(numout,*) ' Constant value for unreso. turbul. velocity shear Vtc = ', Vtc |
|---|
| 1374 | WRITE(numout,*) ' Non-dimensional coef. for nonlocal transport rcg = ', rcg |
|---|
| 1375 | ENDIF |
|---|
| 1376 | |
|---|
| 1377 | ! ratt is the attenuation coefficient for solar flux |
|---|
| 1378 | ! Should be different is s_coordinate |
|---|
| 1379 | DO jk = 1, jpk |
|---|
| 1380 | zhbf = - fsdept(1,1,jk) * hbf |
|---|
| 1381 | ratt(jk) = 1.0 - ( rabs * EXP( zhbf / xsi1 ) + ( 1.0 - rabs ) * EXP( zhbf / xsi2 ) ) |
|---|
| 1382 | ENDDO |
|---|
| 1383 | |
|---|
| 1384 | ! Horizontal average : initialization of weighting arrays |
|---|
| 1385 | ! ------------------- |
|---|
| 1386 | |
|---|
| 1387 | SELECT CASE ( nn_ave ) |
|---|
| 1388 | |
|---|
| 1389 | CASE ( 0 ) ! no horizontal average |
|---|
| 1390 | IF(lwp) WRITE(numout,*) ' no horizontal average on avt, avmu, avmv' |
|---|
| 1391 | IF(lwp) WRITE(numout,*) ' only in very high horizontal resolution !' |
|---|
| 1392 | ! weighting mean arrays etmean, eumean and evmean |
|---|
| 1393 | ! ( 1 1 ) ( 1 ) |
|---|
| 1394 | ! avt = 1/4 ( 1 1 ) avmu = 1/2 ( 1 1 ) avmv= 1/2 ( 1 ) |
|---|
| 1395 | ! |
|---|
| 1396 | etmean(:,:,:) = 0.e0 |
|---|
| 1397 | eumean(:,:,:) = 0.e0 |
|---|
| 1398 | evmean(:,:,:) = 0.e0 |
|---|
| 1399 | |
|---|
| 1400 | DO jk = 1, jpkm1 |
|---|
| 1401 | DO jj = 2, jpjm1 |
|---|
| 1402 | DO ji = 2, jpim1 ! vector opt. |
|---|
| 1403 | etmean(ji,jj,jk) = tmask(ji,jj,jk) & |
|---|
| 1404 | & / MAX( 1., umask(ji-1,jj ,jk) + umask(ji,jj,jk) & |
|---|
| 1405 | & + vmask(ji ,jj-1,jk) + vmask(ji,jj,jk) ) |
|---|
| 1406 | |
|---|
| 1407 | eumean(ji,jj,jk) = umask(ji,jj,jk) & |
|---|
| 1408 | & / MAX( 1., tmask(ji,jj,jk) + tmask(ji+1,jj ,jk) ) |
|---|
| 1409 | |
|---|
| 1410 | evmean(ji,jj,jk) = vmask(ji,jj,jk) & |
|---|
| 1411 | & / MAX( 1., tmask(ji,jj,jk) + tmask(ji ,jj+1,jk) ) |
|---|
| 1412 | END DO |
|---|
| 1413 | END DO |
|---|
| 1414 | END DO |
|---|
| 1415 | |
|---|
| 1416 | CASE ( 1 ) ! horizontal average |
|---|
| 1417 | IF(lwp) WRITE(numout,*) ' horizontal average on avt, avmu, avmv' |
|---|
| 1418 | ! weighting mean arrays etmean, eumean and evmean |
|---|
| 1419 | ! ( 1/2 1 1/2 ) ( 1/2 1/2 ) ( 1/2 1 1/2 ) |
|---|
| 1420 | ! avt = 1/8 ( 1 2 1 ) avmu = 1/4 ( 1 1 ) avmv= 1/4 ( 1/2 1 1/2 ) |
|---|
| 1421 | ! ( 1/2 1 1/2 ) ( 1/2 1/2 ) |
|---|
| 1422 | etmean(:,:,:) = 0.e0 |
|---|
| 1423 | eumean(:,:,:) = 0.e0 |
|---|
| 1424 | evmean(:,:,:) = 0.e0 |
|---|
| 1425 | |
|---|
| 1426 | DO jk = 1, jpkm1 |
|---|
| 1427 | DO jj = 2, jpjm1 |
|---|
| 1428 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 1429 | etmean(ji,jj,jk) = tmask(ji, jj,jk) & |
|---|
| 1430 | & / MAX( 1., 2.* tmask(ji,jj,jk) & |
|---|
| 1431 | & +.5 * ( tmask(ji-1,jj+1,jk) + tmask(ji-1,jj-1,jk) & |
|---|
| 1432 | & +tmask(ji+1,jj+1,jk) + tmask(ji+1,jj-1,jk) ) & |
|---|
| 1433 | & +1. * ( tmask(ji-1,jj ,jk) + tmask(ji ,jj+1,jk) & |
|---|
| 1434 | & +tmask(ji ,jj-1,jk) + tmask(ji+1,jj ,jk) ) ) |
|---|
| 1435 | |
|---|
| 1436 | eumean(ji,jj,jk) = umask(ji,jj,jk) & |
|---|
| 1437 | & / MAX( 1., tmask(ji,jj ,jk) + tmask(ji+1,jj ,jk) & |
|---|
| 1438 | & +.5 * ( tmask(ji,jj-1,jk) + tmask(ji+1,jj-1,jk) & |
|---|
| 1439 | & +tmask(ji,jj+1,jk) + tmask(ji+1,jj+1,jk) ) ) |
|---|
| 1440 | |
|---|
| 1441 | evmean(ji,jj,jk) = vmask(ji,jj,jk) & |
|---|
| 1442 | & / MAX( 1., tmask(ji ,jj,jk) + tmask(ji ,jj+1,jk) & |
|---|
| 1443 | & +.5 * ( tmask(ji-1,jj,jk) + tmask(ji-1,jj+1,jk) & |
|---|
| 1444 | & +tmask(ji+1,jj,jk) + tmask(ji+1,jj+1,jk) ) ) |
|---|
| 1445 | END DO |
|---|
| 1446 | END DO |
|---|
| 1447 | END DO |
|---|
| 1448 | |
|---|
| 1449 | CASE DEFAULT |
|---|
| 1450 | WRITE(ctmp1,*) ' bad flag value for nn_ave = ', nn_ave |
|---|
| 1451 | CALL ctl_stop( ctmp1 ) |
|---|
| 1452 | |
|---|
| 1453 | END SELECT |
|---|
| 1454 | |
|---|
| 1455 | ! Initialization of vertical eddy coef. to the background value |
|---|
| 1456 | ! ------------------------------------------------------------- |
|---|
| 1457 | DO jk = 1, jpk |
|---|
| 1458 | avt (:,:,jk) = avtb(jk) * tmask(:,:,jk) |
|---|
| 1459 | avmu(:,:,jk) = avmb(jk) * umask(:,:,jk) |
|---|
| 1460 | avmv(:,:,jk) = avmb(jk) * vmask(:,:,jk) |
|---|
| 1461 | END DO |
|---|
| 1462 | |
|---|
| 1463 | ! zero the surface flux for non local term and kpp mixed layer depth |
|---|
| 1464 | ! ------------------------------------------------------------------ |
|---|
| 1465 | ghats(:,:,:) = 0. |
|---|
| 1466 | wt0 (:,: ) = 0. |
|---|
| 1467 | ws0 (:,: ) = 0. |
|---|
| 1468 | hkpp (:,: ) = 0. ! just a diagnostic (not essential) |
|---|
| 1469 | |
|---|
| 1470 | #if ! defined key_kppcustom |
|---|
| 1471 | ! compute arrays (del, wz) for reference mean values |
|---|
| 1472 | ! (increase speed for vectorization key_kppcustom not defined) |
|---|
| 1473 | del(1:jpk, 1:jpk) = 0. |
|---|
| 1474 | DO jk = 1, jpk |
|---|
| 1475 | zref = epsilon * fsdept(1,1,jk) |
|---|
| 1476 | DO jm = 1 , jpk |
|---|
| 1477 | zdist = zref - fsdepw(1,1,jm) |
|---|
| 1478 | IF( zdist > 0. ) THEN |
|---|
| 1479 | del(jk,jm) = MIN( zdist, fse3t(1,1,jm) ) / zref |
|---|
| 1480 | ELSE |
|---|
| 1481 | del(jk,jm) = 0. |
|---|
| 1482 | ENDIF |
|---|
| 1483 | ENDDO |
|---|
| 1484 | ENDDO |
|---|
| 1485 | #endif |
|---|
| 1486 | |
|---|
| 1487 | #if defined key_kpplktb |
|---|
| 1488 | ! build lookup table for turbulent velocity scales |
|---|
| 1489 | dezehat = ( dehatmax - dehatmin ) / nilktbm1 |
|---|
| 1490 | deustar = ( ustmax - ustmin ) / njlktbm1 |
|---|
| 1491 | |
|---|
| 1492 | DO jj = 1, njlktb |
|---|
| 1493 | zustar = ( jj - 1) * deustar + ustmin |
|---|
| 1494 | zustvk = vonk * zustar |
|---|
| 1495 | zucube = zustar * zustar * zustar |
|---|
| 1496 | DO ji = 1 , nilktb |
|---|
| 1497 | zehat = ( ji - 1 ) * dezehat + dehatmin |
|---|
| 1498 | zeta = zehat / ( zucube + epsln ) |
|---|
| 1499 | IF( zehat >= 0 ) THEN ! Stable case |
|---|
| 1500 | wmlktb(ji,jj) = zustvk / ABS( 1.0 + rconc1 * zeta + epsln ) |
|---|
| 1501 | wslktb(ji,jj) = wmlktb(ji,jj) |
|---|
| 1502 | ELSE ! Unstable case |
|---|
| 1503 | IF( zeta > rzetam ) THEN |
|---|
| 1504 | wmlktb(ji,jj) = zustvk * ABS( 1.0 - rconc2 * zeta )**pfourth |
|---|
| 1505 | ELSE |
|---|
| 1506 | wmlktb(ji,jj) = zustvk * ABS( rconam - rconcm * zeta )**pthird |
|---|
| 1507 | ENDIF |
|---|
| 1508 | |
|---|
| 1509 | IF( zeta > rzetas ) THEN |
|---|
| 1510 | wslktb(ji,jj) = zustvk * SQRT( ABS( 1.0 - rconc2 * zeta ) ) |
|---|
| 1511 | ELSE |
|---|
| 1512 | wslktb(ji,jj) = zustvk * ABS( rconas - rconcs * zeta )**pthird |
|---|
| 1513 | ENDIF |
|---|
| 1514 | ENDIF |
|---|
| 1515 | END DO |
|---|
| 1516 | END DO |
|---|
| 1517 | #endif |
|---|
| 1518 | END SUBROUTINE zdf_kpp_init |
|---|
| 1519 | |
|---|
| 1520 | #else |
|---|
| 1521 | !!---------------------------------------------------------------------- |
|---|
| 1522 | !! Dummy module : NO KPP scheme |
|---|
| 1523 | !!---------------------------------------------------------------------- |
|---|
| 1524 | LOGICAL, PUBLIC, PARAMETER :: lk_zdfkpp = .FALSE. !: KPP flag |
|---|
| 1525 | CONTAINS |
|---|
| 1526 | SUBROUTINE zdf_kpp_init ! Dummy routine |
|---|
| 1527 | WRITE(*,*) 'zdf_kpp_init: You should not have seen this print! error?' |
|---|
| 1528 | END SUBROUTINE zdf_kpp_init |
|---|
| 1529 | SUBROUTINE zdf_kpp( kt ) ! Dummy routine |
|---|
| 1530 | WRITE(*,*) 'zdf_kpp: You should not have seen this print! error?', kt |
|---|
| 1531 | END SUBROUTINE zdf_kpp |
|---|
| 1532 | SUBROUTINE tra_kpp( kt ) ! Dummy routine |
|---|
| 1533 | WRITE(*,*) 'tra_kpp: You should not have seen this print! error?', kt |
|---|
| 1534 | END SUBROUTINE tra_kpp |
|---|
| 1535 | #endif |
|---|
| 1536 | |
|---|
| 1537 | !!====================================================================== |
|---|
| 1538 | END MODULE zdfkpp |
|---|
