[3] | 1 | MODULE zdftke |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE zdftke *** |
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[1060] | 4 | !! Ocean physics: vertical mixing coefficient computed from the tke |
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[3] | 5 | !! turbulent closure parameterization |
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| 6 | !!===================================================================== |
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[1060] | 7 | !! History : OPA ! 1991-03 (b. blanke) Original code |
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| 8 | !! 7.0 ! 1991-11 (G. Madec) bug fix |
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| 9 | !! 7.1 ! 1992-10 (G. Madec) new mixing length and eav |
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| 10 | !! 7.2 ! 1993-03 (M. Guyon) symetrical conditions |
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| 11 | !! 7.3 ! 1994-08 (G. Madec, M. Imbard) nn_pdl flag |
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| 12 | !! 7.5 ! 1996-01 (G. Madec) s-coordinates |
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| 13 | !! 8.0 ! 1997-07 (G. Madec) lbc |
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| 14 | !! 8.1 ! 1999-01 (E. Stretta) new option for the mixing length |
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| 15 | !! NEMO 1.0 ! 2002-06 (G. Madec) add zdf_tke_init routine |
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| 16 | !! - ! 2002-08 (G. Madec) rn_cri and Free form, F90 |
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| 17 | !! - ! 2004-10 (C. Ethe ) 1D configuration |
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| 18 | !! 2.0 ! 2006-07 (S. Masson) distributed restart using iom |
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| 19 | !! 3.0 ! 2008-05 (C. Ethe, G.Madec) : update TKE physics: |
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[1050] | 20 | !! - tke penetration (wind steering) |
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| 21 | !! - suface condition for tke & mixing length |
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| 22 | !! - Langmuir cells |
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[1060] | 23 | !! - ! 2008-05 (J.-M. Molines, G. Madec) 2D form of avtb |
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| 24 | !! - ! 2008-06 (G. Madec) style + DOCTOR name for namelist parameters |
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[508] | 25 | !!---------------------------------------------------------------------- |
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[3] | 26 | #if defined key_zdftke || defined key_esopa |
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| 27 | !!---------------------------------------------------------------------- |
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[508] | 28 | !! 'key_zdftke' TKE vertical physics |
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[3] | 29 | !!---------------------------------------------------------------------- |
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[508] | 30 | !!---------------------------------------------------------------------- |
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[3] | 31 | !! zdf_tke : update momentum and tracer Kz from a tke scheme |
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| 32 | !! zdf_tke_init : initialization, namelist read, and parameters control |
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[508] | 33 | !! tke_rst : read/write tke restart in ocean restart file |
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[3] | 34 | !!---------------------------------------------------------------------- |
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| 35 | USE oce ! ocean dynamics and active tracers |
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| 36 | USE dom_oce ! ocean space and time domain |
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| 37 | USE zdf_oce ! ocean vertical physics |
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[888] | 38 | USE sbc_oce ! surface boundary condition: ocean |
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[3] | 39 | USE phycst ! physical constants |
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[1050] | 40 | USE zdfmxl ! mixed layer |
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[1060] | 41 | USE restart ! only for lrst_oce |
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[508] | 42 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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[258] | 43 | USE prtctl ! Print control |
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[508] | 44 | USE in_out_manager ! I/O manager |
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[1060] | 45 | USE iom ! I/O manager library |
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[3] | 46 | |
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| 47 | IMPLICIT NONE |
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| 48 | PRIVATE |
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| 49 | |
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[1060] | 50 | PUBLIC zdf_tke ! routine called in step module |
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[3] | 51 | |
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[508] | 52 | LOGICAL , PUBLIC, PARAMETER :: lk_zdftke = .TRUE. !: TKE vertical mixing flag |
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| 53 | REAL(wp), PUBLIC :: eboost !: multiplicative coeff of the shear product. |
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| 54 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: en !: now turbulent kinetic energy |
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[3] | 55 | # if defined key_vectopt_memory |
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[1060] | 56 | ! !!! key_vectopt_memory |
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[508] | 57 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: etmean !: coefficient used for horizontal smoothing |
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| 58 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: eumean, evmean !: at t-, u- and v-points |
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[3] | 59 | # endif |
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[1060] | 60 | #if defined key_c1d |
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| 61 | ! !!! 1D cfg only |
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| 62 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: e_dis, e_mix !: dissipation and mixing turbulent lengh scales |
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| 63 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: e_pdl, e_ric !: prandl and local Richardson numbers |
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| 64 | #endif |
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[3] | 65 | |
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[1060] | 66 | ! !!! ** Namelist namtke ** |
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| 67 | LOGICAL :: ln_rstke = .FALSE. ! =T restart with tke from a run without tke |
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| 68 | LOGICAL :: ln_mxl0 = .FALSE. ! mixing length scale surface value as function of wind stress or not |
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| 69 | LOGICAL :: ln_lc = .FALSE. ! Langmuir cells (LC) as a source term of TKE or not |
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| 70 | INTEGER :: nn_itke = 50 ! number of restart iterative loops |
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| 71 | INTEGER :: nn_mxl = 2 ! type of mixing length (=0/1/2/3) |
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| 72 | INTEGER :: nn_pdl = 1 ! Prandtl number or not (ratio avt/avm) (=0/1) |
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| 73 | INTEGER :: nn_ave = 1 ! horizontal average or not on avt, avmu, avmv (=0/1) |
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| 74 | INTEGER :: nn_avb = 0 ! constant or profile background on avt (=0/1) |
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| 75 | REAL(wp) :: rn_ediff = 0.1_wp ! coefficient for avt: avt=rn_ediff*mxl*sqrt(e) |
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| 76 | REAL(wp) :: rn_ediss = 0.7_wp ! coefficient of the Kolmogoroff dissipation |
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| 77 | REAL(wp) :: rn_ebb = 3.75_wp ! coefficient of the surface input of tke |
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| 78 | REAL(wp) :: rn_efave = 1._wp ! coefficient for ave : ave=rn_efave*avm |
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| 79 | REAL(wp) :: rn_emin = 0.7071e-6_wp ! minimum value of tke (m2/s2) |
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| 80 | REAL(wp) :: rn_emin0 = 1.e-4_wp ! surface minimum value of tke (m2/s2) |
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| 81 | REAL(wp) :: rn_cri = 2._wp / 9._wp ! critic Richardson number |
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| 82 | INTEGER :: nn_havtb = 1 ! horizontal shape or not for avtb (=0/1) |
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| 83 | INTEGER :: nn_etau = 0 ! type of depth penetration of surface tke (=0/1/2) |
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| 84 | INTEGER :: nn_htau = 0 ! type of tke profile of penetration (=0/1/2) |
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| 85 | REAL(wp) :: rn_lmin0 = 0.4_wp ! surface min value of mixing length |
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| 86 | REAL(wp) :: rn_lmin = 0.4_wp ! interior min value of mixing length |
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| 87 | REAL(wp) :: rn_efr = 1.0_wp ! fraction of TKE surface value which penetrates in the ocean |
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| 88 | REAL(wp) :: rn_lc = 0.15_wp ! coef to compute vertical velocity of Langmuir cells |
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[508] | 89 | |
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[1060] | 90 | REAL(wp), DIMENSION (jpi,jpj) :: avtb_2d ! set in tke_init, for other modif than ice |
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[1050] | 91 | |
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[3] | 92 | !! * Substitutions |
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| 93 | # include "domzgr_substitute.h90" |
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| 94 | # include "vectopt_loop_substitute.h90" |
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| 95 | !!---------------------------------------------------------------------- |
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[1060] | 96 | !! NEMO/OPA 3.0 , LOCEAN-IPSL (2008) |
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[888] | 97 | !! $Id$ |
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[508] | 98 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[3] | 99 | !!---------------------------------------------------------------------- |
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| 100 | |
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| 101 | CONTAINS |
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| 102 | |
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[508] | 103 | SUBROUTINE zdf_tke( kt ) |
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[3] | 104 | !!---------------------------------------------------------------------- |
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| 105 | !! *** ROUTINE zdf_tke *** |
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| 106 | !! |
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| 107 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
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| 108 | !! coefficients using a 1.5 turbulent closure scheme. |
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| 109 | !! |
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| 110 | !! ** Method : The time evolution of the turbulent kinetic energy |
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| 111 | !! (tke) is computed from a prognostic equation : |
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[1060] | 112 | !! d(en)/dt = eboost eav (d(u)/dz)**2 ! shear production |
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| 113 | !! + d( rn_efave eav d(en)/dz )/dz ! diffusion of tke |
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| 114 | !! + grav/rau0 pdl eav d(rau)/dz ! stratif. destruc. |
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| 115 | !! - rn_ediss / emxl en**(2/3) ! dissipation |
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[3] | 116 | !! with the boundary conditions: |
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[1060] | 117 | !! surface: en = max( rn_emin0, rn_ebb sqrt(utau^2 + vtau^2) ) |
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| 118 | !! bottom : en = rn_emin |
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[3] | 119 | !! -1- The dissipation and mixing turbulent lengh scales are computed |
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[1060] | 120 | !! from the usual diagnostic buoyancy length scale: |
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| 121 | !! mxl= sqrt(2*en)/N where N is the brunt-vaisala frequency |
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| 122 | !! with mxl = rn_lmin at the bottom minimum value of 0.4 |
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[3] | 123 | !! Four cases : |
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[1060] | 124 | !! nn_mxl=0 : mxl bounded by the distance to surface and bottom. |
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[3] | 125 | !! zmxld = zmxlm = mxl |
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[1060] | 126 | !! nn_mxl=1 : mxl bounded by the vertical scale factor. |
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[3] | 127 | !! zmxld = zmxlm = mxl |
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[1060] | 128 | !! nn_mxl=2 : mxl bounded such that the vertical derivative of mxl |
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[3] | 129 | !! is less than 1 (|d/dz(xml)|<1). |
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| 130 | !! zmxld = zmxlm = mxl |
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[1060] | 131 | !! nn_mxl=3 : lup = mxl bounded using |d/dz(xml)|<1 from the surface |
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[3] | 132 | !! to the bottom |
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| 133 | !! ldown = mxl bounded using |d/dz(xml)|<1 from the bottom |
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| 134 | !! to the surface |
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| 135 | !! zmxld = sqrt (lup*ldown) ; zmxlm = min(lup,ldown) |
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| 136 | !! -2- Compute the now Turbulent kinetic energy. The time differencing |
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| 137 | !! is implicit for vertical diffusion term, linearized for kolmo- |
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| 138 | !! goroff dissipation term, and explicit forward for both buoyancy |
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| 139 | !! and dynamic production terms. Thus a tridiagonal linear system is |
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| 140 | !! solved. |
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| 141 | !! Note that - the shear production is multiplied by eboost in order |
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[1060] | 142 | !! to set the critic richardson number to rn_cri (namelist parameter) |
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[3] | 143 | !! - the destruction by stratification term is multiplied |
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| 144 | !! by the Prandtl number (defined by an empirical funtion of the local |
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[1060] | 145 | !! Richardson number) if nn_pdl=1 (namelist parameter) |
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[3] | 146 | !! coefficient (zesh2): |
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| 147 | !! -3- Compute the now vertical eddy vicosity and diffusivity |
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| 148 | !! coefficients from en (before the time stepping) and zmxlm: |
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[1060] | 149 | !! avm = max( avtb, rn_ediff*zmxlm*en^1/2 ) |
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| 150 | !! avt = max( avmb, pdl*avm ) (pdl=1 if nn_pdl=0) |
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[3] | 151 | !! eav = max( avmb, avm ) |
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| 152 | !! avt and avm are horizontally averaged to avoid numerical insta- |
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| 153 | !! bilities. |
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| 154 | !! N.B. The computation is done from jk=2 to jpkm1 except for |
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| 155 | !! en. Surface value of avt avmu avmv are set once a time to |
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| 156 | !! their background value in routine zdf_tke_init. |
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| 157 | !! |
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| 158 | !! ** Action : compute en (now turbulent kinetic energy) |
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| 159 | !! update avt, avmu, avmv (before vertical eddy coef.) |
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| 160 | !! |
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[1060] | 161 | !! References : Gaspar et al., JGR, 1990, |
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| 162 | !! Blanke and Delecluse, JPO, 1991 |
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| 163 | !! Mellor and Blumberg, JPO 2004 |
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| 164 | !! Axell, JGR, 2002 |
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[3] | 165 | !!---------------------------------------------------------------------- |
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[1060] | 166 | USE oce, zwd => ua ! use ua as workspace |
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| 167 | USE oce, zmxlm => va ! use va as workspace |
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| 168 | USE oce, zmxld => ta ! use ta as workspace |
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| 169 | USE oce, ztkelc => sa ! use sa as workspace |
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[508] | 170 | ! |
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[1060] | 171 | INTEGER, INTENT(in) :: kt ! ocean time step |
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[508] | 172 | ! |
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[1060] | 173 | INTEGER :: ji, jj, jk ! dummy loop arguments |
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| 174 | REAL(wp) :: zbbrau, zrn2, zesurf ! temporary scalars |
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| 175 | REAL(wp) :: zfact1, ztx2, zdku ! - - |
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| 176 | REAL(wp) :: zfact2, zty2, zdkv ! - - |
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| 177 | REAL(wp) :: zfact3, zcoef, zcof, zav ! - - |
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| 178 | REAL(wp) :: zsh2, zpdl, zri, zsqen, zesh2 ! - - |
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| 179 | REAL(wp) :: zemxl, zemlm, zemlp ! - - |
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| 180 | REAL(wp) :: zraug, zus, zwlc, zind ! - - |
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[1050] | 181 | INTEGER , DIMENSION(jpi,jpj) :: imlc ! 2D workspace |
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[1060] | 182 | REAL(wp), DIMENSION(jpi,jpj) :: zhtau ! - - |
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| 183 | REAL(wp), DIMENSION(jpi,jpj) :: zhlc ! - - |
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[1050] | 184 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zpelc ! 3D workspace |
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[3] | 185 | !!-------------------------------------------------------------------- |
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| 186 | |
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[508] | 187 | IF( kt == nit000 ) CALL zdf_tke_init ! Initialization (first time-step only) |
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[3] | 188 | |
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[508] | 189 | ! ! Local constant initialization |
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[1060] | 190 | zbbrau = .5 * rn_ebb / rau0 |
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| 191 | zfact1 = -.5 * rdt * rn_efave |
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| 192 | zfact2 = 1.5 * rdt * rn_ediss |
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| 193 | zfact3 = 0.5 * rdt * rn_ediss |
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[3] | 194 | |
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| 195 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
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| 196 | ! I. Mixing length |
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| 197 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 198 | |
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| 199 | ! Buoyancy length scale: l=sqrt(2*e/n**2) |
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| 200 | ! --------------------- |
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[1060] | 201 | IF( ln_mxl0 ) THEN ! surface mixing length = F(stress) : l=2.e5*sqrt(utau^2 + vtau^2)/(rau0*g) |
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| 202 | !!gm this should be useless |
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[1050] | 203 | zmxlm(:,:,1) = 0.e0 |
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[1060] | 204 | !!gm end |
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[1050] | 205 | zraug = 0.5 * 2.e5 / ( rau0 * grav ) |
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| 206 | DO jj = 2, jpjm1 |
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[3] | 207 | !CDIR NOVERRCHK |
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[1050] | 208 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 209 | ztx2 = utau(ji-1,jj ) + utau(ji,jj) |
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| 210 | zty2 = vtau(ji ,jj-1) + vtau(ji,jj) |
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[1060] | 211 | zmxlm(ji,jj,1) = MAX( rn_lmin0, zraug * SQRT( ztx2 * ztx2 + zty2 * zty2 ) ) |
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[1050] | 212 | END DO |
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| 213 | END DO |
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[1060] | 214 | ELSE ! surface set to the minimum value |
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| 215 | zmxlm(:,:,1) = rn_lmin0 |
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[1050] | 216 | ENDIF |
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[1060] | 217 | zmxlm(:,:,jpk) = rn_lmin ! bottom set to the interior minium value |
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| 218 | ! |
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[1050] | 219 | !CDIR NOVERRCHK |
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[1060] | 220 | DO jk = 2, jpkm1 ! interior value : l=sqrt(2*e/n**2) |
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[3] | 221 | !CDIR NOVERRCHK |
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| 222 | DO jj = 2, jpjm1 |
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| 223 | !CDIR NOVERRCHK |
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| 224 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 225 | zrn2 = MAX( rn2(ji,jj,jk), rsmall ) |
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[1060] | 226 | zmxlm(ji,jj,jk) = MAX( rn_lmin, SQRT( 2. * en(ji,jj,jk) / zrn2 ) ) |
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[3] | 227 | END DO |
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| 228 | END DO |
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| 229 | END DO |
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| 230 | |
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| 231 | ! Physical limits for the mixing length |
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| 232 | ! ------------------------------------- |
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[1050] | 233 | zmxld(:,:, 1 ) = zmxlm(:,:,1) ! surface set to the minimum value |
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[1060] | 234 | zmxld(:,:,jpk) = rn_lmin ! bottom set to the minimum value |
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[3] | 235 | |
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[1060] | 236 | SELECT CASE ( nn_mxl ) |
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| 237 | ! |
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[3] | 238 | CASE ( 0 ) ! bounded by the distance to surface and bottom |
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| 239 | DO jk = 2, jpkm1 |
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| 240 | DO jj = 2, jpjm1 |
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| 241 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 242 | zemxl = MIN( fsdepw(ji,jj,jk), zmxlm(ji,jj,jk), & |
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| 243 | & fsdepw(ji,jj,mbathy(ji,jj)) - fsdepw(ji,jj,jk) ) |
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| 244 | zmxlm(ji,jj,jk) = zemxl |
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| 245 | zmxld(ji,jj,jk) = zemxl |
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| 246 | END DO |
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| 247 | END DO |
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| 248 | END DO |
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[1060] | 249 | ! |
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[3] | 250 | CASE ( 1 ) ! bounded by the vertical scale factor |
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| 251 | DO jk = 2, jpkm1 |
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| 252 | DO jj = 2, jpjm1 |
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| 253 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 254 | zemxl = MIN( fse3w(ji,jj,jk), zmxlm(ji,jj,jk) ) |
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| 255 | zmxlm(ji,jj,jk) = zemxl |
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| 256 | zmxld(ji,jj,jk) = zemxl |
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| 257 | END DO |
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| 258 | END DO |
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| 259 | END DO |
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[1060] | 260 | ! |
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[3] | 261 | CASE ( 2 ) ! |dk[xml]| bounded by e3t : |
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| 262 | DO jk = 2, jpkm1 ! from the surface to the bottom : |
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| 263 | DO jj = 2, jpjm1 |
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| 264 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 265 | zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk-1) + fse3t(ji,jj,jk-1), zmxlm(ji,jj,jk) ) |
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| 266 | END DO |
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| 267 | END DO |
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| 268 | END DO |
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| 269 | DO jk = jpkm1, 2, -1 ! from the bottom to the surface : |
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| 270 | DO jj = 2, jpjm1 |
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| 271 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 272 | zemxl = MIN( zmxlm(ji,jj,jk+1) + fse3t(ji,jj,jk+1), zmxlm(ji,jj,jk) ) |
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| 273 | zmxlm(ji,jj,jk) = zemxl |
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| 274 | zmxld(ji,jj,jk) = zemxl |
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| 275 | END DO |
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| 276 | END DO |
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| 277 | END DO |
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[1060] | 278 | ! |
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[3] | 279 | CASE ( 3 ) ! lup and ldown, |dk[xml]| bounded by e3t : |
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| 280 | DO jk = 2, jpkm1 ! from the surface to the bottom : lup |
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| 281 | DO jj = 2, jpjm1 |
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| 282 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 283 | zmxld(ji,jj,jk) = MIN( zmxld(ji,jj,jk-1) + fse3t(ji,jj,jk-1), zmxlm(ji,jj,jk) ) |
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| 284 | END DO |
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| 285 | END DO |
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| 286 | END DO |
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| 287 | DO jk = jpkm1, 2, -1 ! from the bottom to the surface : ldown |
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| 288 | DO jj = 2, jpjm1 |
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| 289 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 290 | zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk+1) + fse3t(ji,jj,jk+1), zmxlm(ji,jj,jk) ) |
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| 291 | END DO |
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| 292 | END DO |
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| 293 | END DO |
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| 294 | !CDIR NOVERRCHK |
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| 295 | DO jk = 2, jpkm1 |
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| 296 | !CDIR NOVERRCHK |
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| 297 | DO jj = 2, jpjm1 |
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| 298 | !CDIR NOVERRCHK |
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| 299 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 300 | zemlm = MIN ( zmxld(ji,jj,jk), zmxlm(ji,jj,jk) ) |
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| 301 | zemlp = SQRT( zmxld(ji,jj,jk) * zmxlm(ji,jj,jk) ) |
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| 302 | zmxlm(ji,jj,jk) = zemlm |
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| 303 | zmxld(ji,jj,jk) = zemlp |
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| 304 | END DO |
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| 305 | END DO |
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| 306 | END DO |
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[1060] | 307 | ! |
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[3] | 308 | END SELECT |
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| 309 | |
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[899] | 310 | # if defined key_c1d |
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[1060] | 311 | ! c1d configuration : save mixing and dissipation turbulent length scales |
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[253] | 312 | e_dis(:,:,:) = zmxld(:,:,:) |
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| 313 | e_mix(:,:,:) = zmxlm(:,:,:) |
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| 314 | # endif |
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[3] | 315 | |
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| 316 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
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[1050] | 317 | ! II TKE Langmuir circulation source term |
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[3] | 318 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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[1050] | 319 | IF( ln_lc ) THEN |
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| 320 | ! |
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| 321 | ! Computation of total energy produce by LC : cumulative sum over jk |
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| 322 | zpelc(:,:,1) = MAX( rn2(:,:,1), 0. ) * fsdepw(:,:,1) * fse3w(:,:,1) |
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| 323 | DO jk = 2, jpk |
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| 324 | zpelc(:,:,jk) = zpelc(:,:,jk-1) + MAX( rn2(:,:,jk), 0. ) * fsdepw(:,:,jk) * fse3w(:,:,jk) |
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| 325 | END DO |
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| 326 | ! |
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| 327 | ! Computation of finite Langmuir Circulation depth |
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| 328 | ! Initialization to the number of w ocean point mbathy |
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| 329 | imlc(:,:) = mbathy(:,:) |
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| 330 | DO jk = jpkm1, 2, -1 |
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| 331 | DO jj = 1, jpj |
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| 332 | DO ji = 1, jpi |
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| 333 | ! Last w-level at which zpelc>=0.5*us*us with us=0.016*wind(starting from jpk-1) |
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| 334 | zus = 0.000128 * wndm(ji,jj) * wndm(ji,jj) |
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| 335 | IF( zpelc(ji,jj,jk) > zus ) imlc(ji,jj) = jk |
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| 336 | END DO |
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| 337 | END DO |
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| 338 | END DO |
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| 339 | ! |
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| 340 | ! finite LC depth |
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| 341 | DO jj = 1, jpj |
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| 342 | DO ji = 1, jpi |
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| 343 | zhlc(ji,jj) = fsdepw(ji,jj,imlc(ji,jj)) |
---|
| 344 | END DO |
---|
| 345 | END DO |
---|
| 346 | ! |
---|
| 347 | # if defined key_c1d |
---|
[1060] | 348 | hlc(:,:) = zhlc(:,:) * tmask(:,:,1) ! c1d configuration: save finite Langmuir Circulation depth |
---|
[1050] | 349 | # endif |
---|
| 350 | ! |
---|
| 351 | ! TKE Langmuir circulation source term |
---|
| 352 | !CDIR NOVERRCHK |
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| 353 | DO jk = 2, jpkm1 |
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| 354 | !CDIR NOVERRCHK |
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| 355 | DO jj = 2, jpjm1 |
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| 356 | !CDIR NOVERRCHK |
---|
| 357 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 358 | ! Stokes drift |
---|
| 359 | zus = 0.016 * wndm(ji,jj) |
---|
| 360 | ! computation of vertical velocity due to LC |
---|
| 361 | zind = 0.5 - SIGN( 0.5, fsdepw(ji,jj,jk) - zhlc(ji,jj) ) |
---|
| 362 | zwlc = zind * rn_lc * zus * SIN( rpi * fsdepw(ji,jj,jk) / zhlc(ji,jj) ) |
---|
| 363 | ! TKE Langmuir circulation source term |
---|
| 364 | ztkelc(ji,jj,jk) = ( zwlc * zwlc * zwlc ) / zhlc(ji,jj) |
---|
| 365 | END DO |
---|
| 366 | END DO |
---|
| 367 | END DO |
---|
| 368 | ! |
---|
| 369 | ENDIF |
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[3] | 370 | |
---|
[1050] | 371 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
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| 372 | ! III Tubulent kinetic energy time stepping |
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| 373 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 374 | |
---|
[3] | 375 | ! 1. Vertical eddy viscosity on tke (put in zmxlm) and first estimate of avt |
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| 376 | ! --------------------------------------------------------------------- |
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| 377 | !CDIR NOVERRCHK |
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| 378 | DO jk = 2, jpkm1 |
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| 379 | !CDIR NOVERRCHK |
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| 380 | DO jj = 2, jpjm1 |
---|
| 381 | !CDIR NOVERRCHK |
---|
| 382 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 383 | zsqen = SQRT( en(ji,jj,jk) ) |
---|
[1060] | 384 | zav = rn_ediff * zmxlm(ji,jj,jk) * zsqen |
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[1050] | 385 | avt (ji,jj,jk) = MAX( zav, avtb_2d(ji,jj) * avtb(jk) ) * tmask(ji,jj,jk) |
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[3] | 386 | zmxlm(ji,jj,jk) = MAX( zav, avmb(jk) ) * tmask(ji,jj,jk) |
---|
| 387 | zmxld(ji,jj,jk) = zsqen / zmxld(ji,jj,jk) |
---|
| 388 | END DO |
---|
| 389 | END DO |
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| 390 | END DO |
---|
| 391 | |
---|
| 392 | ! 2. Surface boundary condition on tke and its eddy viscosity (zmxlm) |
---|
| 393 | ! ------------------------------------------------- |
---|
[1060] | 394 | ! en(1) = rn_ebb sqrt(utau^2+vtau^2) / rau0 (min value rn_emin0) |
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[3] | 395 | ! zmxlm(1) = avmb(1) and zmxlm(jpk) = 0. |
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| 396 | !CDIR NOVERRCHK |
---|
| 397 | DO jj = 2, jpjm1 |
---|
| 398 | !CDIR NOVERRCHK |
---|
| 399 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[888] | 400 | ztx2 = utau(ji-1,jj ) + utau(ji,jj) |
---|
| 401 | zty2 = vtau(ji ,jj-1) + vtau(ji,jj) |
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[3] | 402 | zesurf = zbbrau * SQRT( ztx2 * ztx2 + zty2 * zty2 ) |
---|
[1060] | 403 | en (ji,jj,1) = MAX( zesurf, rn_emin0 ) * tmask(ji,jj,1) |
---|
| 404 | zav = rn_ediff * zmxlm(ji,jj,1) * SQRT( en(ji,jj,1) ) |
---|
| 405 | zmxlm(ji,jj,1 ) = MAX( zav, avmb(1) ) * tmask(ji,jj,1) |
---|
| 406 | avt (ji,jj,1 ) = MAX( zav, avtb(1) * avtb_2d(ji,jj) ) * tmask(ji,jj,1) |
---|
[3] | 407 | zmxlm(ji,jj,jpk) = 0.e0 |
---|
| 408 | END DO |
---|
| 409 | END DO |
---|
| 410 | |
---|
| 411 | ! 3. Now Turbulent kinetic energy (output in en) |
---|
| 412 | ! ------------------------------- |
---|
| 413 | ! Resolution of a tridiagonal linear system by a "methode de chasse" |
---|
[1060] | 414 | ! computation from level 2 to jpkm1 (e(1) already computed and e(jpk)=0 ). |
---|
[3] | 415 | |
---|
[1060] | 416 | SELECT CASE ( nn_pdl ) |
---|
| 417 | ! |
---|
[3] | 418 | CASE ( 0 ) ! No Prandtl number |
---|
| 419 | DO jk = 2, jpkm1 |
---|
| 420 | DO jj = 2, jpjm1 |
---|
| 421 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[1060] | 422 | ! ! shear prod. - stratif. destruction |
---|
[3] | 423 | zcoef = 0.5 / fse3w(ji,jj,jk) |
---|
[1060] | 424 | zdku = zcoef * ( ub(ji-1, jj ,jk-1) + ub(ji,jj,jk-1) & ! shear |
---|
| 425 | & - ub(ji-1, jj ,jk ) - ub(ji,jj,jk ) ) |
---|
| 426 | zdkv = zcoef * ( vb( ji ,jj-1,jk-1) + vb(ji,jj,jk-1) & |
---|
| 427 | & - vb( ji ,jj-1,jk ) - vb(ji,jj,jk ) ) |
---|
| 428 | zesh2 = eboost * ( zdku*zdku + zdkv*zdkv ) - rn2(ji,jj,jk) ! coefficient (zesh2) |
---|
| 429 | ! |
---|
| 430 | ! ! Matrix |
---|
[3] | 431 | zcof = zfact1 * tmask(ji,jj,jk) |
---|
[1060] | 432 | ! ! lower diagonal |
---|
[3] | 433 | avmv(ji,jj,jk) = zcof * ( zmxlm(ji,jj,jk ) + zmxlm(ji,jj,jk-1) ) & |
---|
[1060] | 434 | & / ( fse3t(ji,jj,jk-1) * fse3w(ji,jj,jk ) ) |
---|
| 435 | ! ! upper diagonal |
---|
[3] | 436 | avmu(ji,jj,jk) = zcof * ( zmxlm(ji,jj,jk+1) + zmxlm(ji,jj,jk ) ) & |
---|
[1060] | 437 | & / ( fse3t(ji,jj,jk ) * fse3w(ji,jj,jk) ) |
---|
| 438 | ! ! diagonal |
---|
[3] | 439 | zwd(ji,jj,jk) = 1. - avmv(ji,jj,jk) - avmu(ji,jj,jk) + zfact2 * zmxld(ji,jj,jk) |
---|
[1060] | 440 | ! |
---|
| 441 | ! ! right hand side in en |
---|
| 442 | IF( .NOT. ln_lc ) THEN ! No Langmuir cells |
---|
[1050] | 443 | en(ji,jj,jk) = en(ji,jj,jk) + zfact3 * zmxld (ji,jj,jk) * en(ji,jj,jk) & |
---|
| 444 | & + rdt * zmxlm (ji,jj,jk) * zesh2 |
---|
[1060] | 445 | ELSE ! Langmuir cell source term |
---|
[1050] | 446 | en(ji,jj,jk) = en(ji,jj,jk) + zfact3 * zmxld (ji,jj,jk) * en(ji,jj,jk) & |
---|
| 447 | & + rdt * zmxlm (ji,jj,jk) * zesh2 & |
---|
| 448 | & + rdt * ztkelc(ji,jj,jk) |
---|
| 449 | ENDIF |
---|
[3] | 450 | END DO |
---|
| 451 | END DO |
---|
| 452 | END DO |
---|
[1060] | 453 | ! |
---|
[3] | 454 | CASE ( 1 ) ! Prandtl number |
---|
| 455 | DO jk = 2, jpkm1 |
---|
| 456 | DO jj = 2, jpjm1 |
---|
| 457 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[1060] | 458 | ! ! shear prod. - stratif. destruction |
---|
| 459 | zcoef = 0.5 / fse3w(ji,jj,jk) |
---|
| 460 | zdku = zcoef * ( ub(ji-1,jj ,jk-1) + ub(ji,jj,jk-1) & ! shear |
---|
| 461 | & - ub(ji-1,jj ,jk ) - ub(ji,jj,jk ) ) |
---|
| 462 | zdkv = zcoef * ( vb(ji ,jj-1,jk-1) + vb(ji,jj,jk-1) & |
---|
| 463 | & - vb(ji ,jj-1,jk ) - vb(ji,jj,jk ) ) |
---|
| 464 | zsh2 = zdku * zdku + zdkv * zdkv ! square of shear |
---|
| 465 | zri = MAX( rn2(ji,jj,jk), 0. ) / ( zsh2 + 1.e-20 ) ! local Richardson number |
---|
[899] | 466 | # if defined key_c1d |
---|
[1060] | 467 | e_ric(ji,jj,jk) = zri * tmask(ji,jj,jk) ! c1d config. : save Ri |
---|
[253] | 468 | # endif |
---|
[1060] | 469 | zpdl = 1.0 ! Prandtl number |
---|
| 470 | IF( zri >= 0.2 ) zpdl = 0.2 / zri |
---|
[3] | 471 | zpdl = MAX( 0.1, zpdl ) |
---|
[1060] | 472 | zesh2 = eboost * zsh2 - zpdl * rn2(ji,jj,jk) ! coefficient (esh2) |
---|
| 473 | ! |
---|
| 474 | ! ! Matrix |
---|
[3] | 475 | zcof = zfact1 * tmask(ji,jj,jk) |
---|
[1060] | 476 | ! ! lower diagonal |
---|
[3] | 477 | avmv(ji,jj,jk) = zcof * ( zmxlm(ji,jj,jk ) + zmxlm(ji,jj,jk-1) ) & |
---|
| 478 | & / ( fse3t(ji,jj,jk-1) * fse3w(ji,jj,jk ) ) |
---|
[1060] | 479 | ! ! upper diagonal |
---|
[3] | 480 | avmu(ji,jj,jk) = zcof * ( zmxlm(ji,jj,jk+1) + zmxlm(ji,jj,jk ) ) & |
---|
| 481 | & / ( fse3t(ji,jj,jk ) * fse3w(ji,jj,jk) ) |
---|
[1060] | 482 | ! ! diagonal |
---|
[3] | 483 | zwd(ji,jj,jk) = 1. - avmv(ji,jj,jk) - avmu(ji,jj,jk) + zfact2 * zmxld(ji,jj,jk) |
---|
[1060] | 484 | ! |
---|
| 485 | ! ! right hand side in en |
---|
| 486 | IF( .NOT. ln_lc ) THEN ! No Langmuir cells |
---|
[1050] | 487 | en(ji,jj,jk) = en(ji,jj,jk) + zfact3 * zmxld (ji,jj,jk) * en (ji,jj,jk) & |
---|
| 488 | & + rdt * zmxlm (ji,jj,jk) * zesh2 |
---|
[1060] | 489 | ELSE ! Langmuir cell source term |
---|
[1050] | 490 | en(ji,jj,jk) = en(ji,jj,jk) + zfact3 * zmxld (ji,jj,jk) * en (ji,jj,jk) & |
---|
| 491 | & + rdt * zmxlm (ji,jj,jk) * zesh2 & |
---|
| 492 | & + rdt * ztkelc(ji,jj,jk) |
---|
| 493 | ENDIF |
---|
[1060] | 494 | zmxld(ji,jj,jk) = zpdl * tmask(ji,jj,jk) ! store masked Prandlt number in zmxld array |
---|
[3] | 495 | END DO |
---|
| 496 | END DO |
---|
| 497 | END DO |
---|
[1060] | 498 | ! |
---|
[3] | 499 | END SELECT |
---|
| 500 | |
---|
[899] | 501 | # if defined key_c1d |
---|
[1060] | 502 | e_pdl(:,:,2:jpkm1) = zmxld(:,:,2:jpkm1) ! c1d configuration : save masked Prandlt number |
---|
[253] | 503 | e_pdl(:,:, 1) = e_pdl(:,:, 2) |
---|
| 504 | e_pdl(:,:, jpk) = e_pdl(:,:, jpkm1) |
---|
| 505 | # endif |
---|
| 506 | |
---|
[3] | 507 | ! 4. Matrix inversion from level 2 (tke prescribed at level 1) |
---|
| 508 | !!-------------------------------- |
---|
[1060] | 509 | DO jk = 3, jpkm1 ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1 |
---|
[3] | 510 | DO jj = 2, jpjm1 |
---|
| 511 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 512 | zwd(ji,jj,jk) = zwd(ji,jj,jk) - avmv(ji,jj,jk) * avmu(ji,jj,jk-1) / zwd(ji,jj,jk-1) |
---|
| 513 | END DO |
---|
| 514 | END DO |
---|
| 515 | END DO |
---|
[1060] | 516 | DO jj = 2, jpjm1 ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1 |
---|
[3] | 517 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 518 | avmv(ji,jj,2) = en(ji,jj,2) - avmv(ji,jj,2) * en(ji,jj,1) ! Surface boudary conditions on tke |
---|
| 519 | END DO |
---|
| 520 | END DO |
---|
| 521 | DO jk = 3, jpkm1 |
---|
| 522 | DO jj = 2, jpjm1 |
---|
| 523 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 524 | avmv(ji,jj,jk) = en(ji,jj,jk) - avmv(ji,jj,jk) / zwd(ji,jj,jk-1) *avmv(ji,jj,jk-1) |
---|
| 525 | END DO |
---|
| 526 | END DO |
---|
| 527 | END DO |
---|
[1060] | 528 | DO jj = 2, jpjm1 ! thrid recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk |
---|
[3] | 529 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 530 | en(ji,jj,jpkm1) = avmv(ji,jj,jpkm1) / zwd(ji,jj,jpkm1) |
---|
| 531 | END DO |
---|
| 532 | END DO |
---|
| 533 | DO jk = jpk-2, 2, -1 |
---|
| 534 | DO jj = 2, jpjm1 |
---|
| 535 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 536 | en(ji,jj,jk) = ( avmv(ji,jj,jk) - avmu(ji,jj,jk) * en(ji,jj,jk+1) ) / zwd(ji,jj,jk) |
---|
| 537 | END DO |
---|
| 538 | END DO |
---|
| 539 | END DO |
---|
[1060] | 540 | DO jk = 2, jpkm1 ! set the minimum value of tke |
---|
[3] | 541 | DO jj = 2, jpjm1 |
---|
| 542 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[1060] | 543 | en(ji,jj,jk) = MAX( en(ji,jj,jk), rn_emin ) * tmask(ji,jj,jk) |
---|
[3] | 544 | END DO |
---|
| 545 | END DO |
---|
| 546 | END DO |
---|
[1050] | 547 | |
---|
[1060] | 548 | ! 5. Add extra TKE due to surface and internal wave breaking (nn_etau /= 0) |
---|
| 549 | !!---------------------------------------------------------- |
---|
| 550 | IF( nn_etau /= 0 ) THEN ! extra tke : en = en + rn_efr * en(1) * exp( -z/zhtau ) |
---|
[1050] | 551 | ! |
---|
[1060] | 552 | SELECT CASE( nn_htau ) ! Choice of the depth of penetration |
---|
| 553 | CASE( 0 ) ! constant depth penetration (here 10 meters) |
---|
| 554 | DO jj = 2, jpjm1 |
---|
| 555 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 556 | zhtau(ji,jj) = 10. |
---|
| 557 | END DO |
---|
[1050] | 558 | END DO |
---|
[1060] | 559 | CASE( 1 ) ! meridional profile 1 |
---|
| 560 | DO jj = 2, jpjm1 ! ( 5m in the tropics to a maximum of 40 m at high lat.) |
---|
| 561 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 562 | zhtau(ji,jj) = MAX( 5., MIN( 40., 60.*ABS( SIN( rpi/180. * gphit(ji,jj) ) ) ) ) |
---|
| 563 | END DO |
---|
[1050] | 564 | END DO |
---|
[1060] | 565 | CASE( 2 ) ! meridional profile 2 |
---|
| 566 | DO jj = 2, jpjm1 ! ( 5m in the tropics to a maximum of 60 m at high lat.) |
---|
| 567 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 568 | zhtau(ji,jj) = MAX( 5.,6./4.* MIN( 40., 60.*ABS( SIN( rpi/180. * gphit(ji,jj) ) ) ) ) |
---|
| 569 | END DO |
---|
| 570 | END DO |
---|
| 571 | END SELECT |
---|
| 572 | ! |
---|
| 573 | IF( nn_etau == 1 ) THEN ! extra term throughout the water column |
---|
| 574 | DO jk = 2, jpkm1 |
---|
| 575 | DO jj = 2, jpjm1 |
---|
| 576 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 577 | en(ji,jj,jk) = en(ji,jj,jk) & |
---|
| 578 | & + rn_efr * en(ji,jj,1)*EXP( -fsdepw(ji,jj,jk) / zhtau(ji,jj) ) & |
---|
| 579 | & * ( 1.e0 - fr_i(ji,jj) ) * tmask(ji,jj,jk) |
---|
| 580 | END DO |
---|
| 581 | END DO |
---|
| 582 | END DO |
---|
| 583 | ELSEIF( nn_etau == 2 ) THEN ! extra term only at the base of the mixed layer |
---|
[1050] | 584 | DO jj = 2, jpjm1 |
---|
| 585 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[1060] | 586 | jk = nmln(ji,jj) |
---|
| 587 | en(ji,jj,jk) = en(ji,jj,jk) & |
---|
[1050] | 588 | & + rn_efr * en(ji,jj,1)*EXP( -fsdepw(ji,jj,jk) / zhtau(ji,jj) ) & |
---|
[1060] | 589 | & * ( 1.e0 - fr_i(ji,jj) ) * tmask(ji,jj,jk) |
---|
[1050] | 590 | END DO |
---|
| 591 | END DO |
---|
[1060] | 592 | ENDIF |
---|
| 593 | ! |
---|
[1050] | 594 | ENDIF |
---|
| 595 | |
---|
| 596 | |
---|
[1060] | 597 | ! Lateral boundary conditions (sign unchanged) |
---|
| 598 | CALL lbc_lnk( en, 'W', 1. ) ; CALL lbc_lnk( avt, 'W', 1. ) |
---|
[3] | 599 | |
---|
[1060] | 600 | |
---|
[3] | 601 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
[1050] | 602 | ! IV. Before vertical eddy vicosity and diffusivity coefficients |
---|
[3] | 603 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
[1060] | 604 | ! |
---|
| 605 | SELECT CASE ( nn_ave ) |
---|
| 606 | CASE ( 0 ) ! no horizontal average |
---|
| 607 | DO jk = 2, jpkm1 ! only vertical eddy viscosity |
---|
[3] | 608 | DO jj = 2, jpjm1 |
---|
| 609 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 610 | avmu(ji,jj,jk) = ( avt (ji,jj,jk) + avt (ji+1,jj ,jk) ) * umask(ji,jj,jk) & |
---|
| 611 | & / MAX( 1., tmask(ji,jj,jk) + tmask(ji+1,jj ,jk) ) |
---|
| 612 | avmv(ji,jj,jk) = ( avt (ji,jj,jk) + avt (ji ,jj+1,jk) ) * vmask(ji,jj,jk) & |
---|
| 613 | & / MAX( 1., tmask(ji,jj,jk) + tmask(ji ,jj+1,jk) ) |
---|
| 614 | END DO |
---|
| 615 | END DO |
---|
[217] | 616 | END DO |
---|
[1060] | 617 | CALL lbc_lnk( avmu, 'U', 1. ) ; CALL lbc_lnk( avmv, 'V', 1. ) ! Lateral boundary conditions |
---|
| 618 | ! |
---|
| 619 | CASE ( 1 ) ! horizontal average ( 1/2 1/2 ) |
---|
| 620 | ! ! Vertical eddy viscosity avmu = 1/4 ( 1 1 ) |
---|
| 621 | ! ! ( 1/2 1/2 ) |
---|
| 622 | ! ! |
---|
| 623 | ! ! ( 1/2 1 1/2 ) |
---|
| 624 | ! ! avmv = 1/4 ( 1/2 1 1/2 ) |
---|
| 625 | DO jk = 2, jpkm1 |
---|
[3] | 626 | DO jj = 2, jpjm1 |
---|
| 627 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[1060] | 628 | # if defined key_vectopt_memory |
---|
| 629 | ! ! caution : vectopt_memory change the solution |
---|
| 630 | ! ! (last digit of the solver stat) |
---|
[3] | 631 | avmu(ji,jj,jk) = ( avt(ji,jj ,jk) + avt(ji+1,jj ,jk) & |
---|
[1060] | 632 | & +.5*( avt(ji,jj-1,jk) + avt(ji+1,jj-1,jk) & |
---|
| 633 | & +avt(ji,jj+1,jk) + avt(ji+1,jj+1,jk) ) ) * eumean(ji,jj,jk) |
---|
[3] | 634 | |
---|
| 635 | avmv(ji,jj,jk) = ( avt(ji ,jj,jk) + avt(ji ,jj+1,jk) & |
---|
[1060] | 636 | & +.5*( avt(ji-1,jj,jk) + avt(ji-1,jj+1,jk) & |
---|
| 637 | & +avt(ji+1,jj,jk) + avt(ji+1,jj+1,jk) ) ) * evmean(ji,jj,jk) |
---|
| 638 | # else |
---|
[3] | 639 | avmu(ji,jj,jk) = ( avt (ji,jj ,jk) + avt (ji+1,jj ,jk) & |
---|
[1060] | 640 | & +.5*( avt (ji,jj-1,jk) + avt (ji+1,jj-1,jk) & |
---|
| 641 | & +avt (ji,jj+1,jk) + avt (ji+1,jj+1,jk) ) ) * umask(ji,jj,jk) & |
---|
| 642 | & / MAX( 1., tmask(ji,jj ,jk) + tmask(ji+1,jj ,jk) & |
---|
| 643 | & +.5*( tmask(ji,jj-1,jk) + tmask(ji+1,jj-1,jk) & |
---|
| 644 | & +tmask(ji,jj+1,jk) + tmask(ji+1,jj+1,jk) ) ) |
---|
[3] | 645 | |
---|
| 646 | avmv(ji,jj,jk) = ( avt (ji ,jj,jk) + avt (ji ,jj+1,jk) & |
---|
[1060] | 647 | & +.5*( avt (ji-1,jj,jk) + avt (ji-1,jj+1,jk) & |
---|
| 648 | & +avt (ji+1,jj,jk) + avt (ji+1,jj+1,jk) ) ) * vmask(ji,jj,jk) & |
---|
| 649 | & / MAX( 1., tmask(ji ,jj,jk) + tmask(ji ,jj+1,jk) & |
---|
| 650 | & +.5*( tmask(ji-1,jj,jk) + tmask(ji-1,jj+1,jk) & |
---|
| 651 | & +tmask(ji+1,jj,jk) + tmask(ji+1,jj+1,jk) ) ) |
---|
| 652 | # endif |
---|
[3] | 653 | END DO |
---|
| 654 | END DO |
---|
[217] | 655 | END DO |
---|
[1060] | 656 | CALL lbc_lnk( avmu, 'U', 1. ) ; CALL lbc_lnk( avmv, 'V', 1. ) ! Lateral boundary conditions |
---|
| 657 | ! |
---|
| 658 | ! ! Vertical eddy diffusivity (1 2 1) |
---|
| 659 | ! ! avt = 1/16 (2 4 2) |
---|
| 660 | ! ! (1 2 1) |
---|
| 661 | DO jk = 2, jpkm1 |
---|
[3] | 662 | DO jj = 2, jpjm1 |
---|
| 663 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[1060] | 664 | # if defined key_vectopt_memory |
---|
| 665 | avt(ji,jj,jk) = ( avmu(ji,jj,jk) + avmu(ji-1,jj ,jk) & |
---|
| 666 | & + avmv(ji,jj,jk) + avmv(ji ,jj-1,jk) ) * etmean(ji,jj,jk) |
---|
[3] | 667 | # else |
---|
[1060] | 668 | avt(ji,jj,jk) = ( avmu (ji,jj,jk) + avmu (ji-1,jj ,jk) & |
---|
| 669 | & + avmv (ji,jj,jk) + avmv (ji ,jj-1,jk) ) * tmask(ji,jj,jk) & |
---|
| 670 | & / MAX( 1., umask(ji,jj,jk) + umask(ji-1,jj ,jk) & |
---|
| 671 | & + vmask(ji,jj,jk) + vmask(ji ,jj-1,jk) ) |
---|
| 672 | # endif |
---|
[3] | 673 | END DO |
---|
| 674 | END DO |
---|
[217] | 675 | END DO |
---|
[1060] | 676 | ! |
---|
[217] | 677 | END SELECT |
---|
[1060] | 678 | ! |
---|
| 679 | IF( nn_pdl == 1 ) THEN ! Ponderation by the Prandtl number (nn_pdl=1) |
---|
| 680 | DO jk = 2, jpkm1 |
---|
[3] | 681 | DO jj = 2, jpjm1 |
---|
| 682 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 683 | zpdl = zmxld(ji,jj,jk) |
---|
[1050] | 684 | avt(ji,jj,jk) = MAX( zpdl * avt(ji,jj,jk), avtb_2d(ji,jj) * avtb(jk) ) * tmask(ji,jj,jk) |
---|
[3] | 685 | END DO |
---|
| 686 | END DO |
---|
[217] | 687 | END DO |
---|
| 688 | ENDIF |
---|
[1060] | 689 | ! |
---|
| 690 | DO jk = 2, jpkm1 ! Minimum value on the eddy viscosity |
---|
| 691 | avmu(:,:,jk) = MAX( avmu(:,:,jk), avmb(jk) ) * umask(:,:,jk) |
---|
| 692 | avmv(:,:,jk) = MAX( avmv(:,:,jk), avmb(jk) ) * vmask(:,:,jk) |
---|
[217] | 693 | END DO |
---|
[3] | 694 | |
---|
[1060] | 695 | CALL lbc_lnk( avt, 'W', 1. ) ! Lateral boundary conditions on avt (sign unchanged) |
---|
[3] | 696 | |
---|
[1060] | 697 | IF( lrst_oce ) CALL tke_rst( kt, 'WRITE' ) ! write en in restart file |
---|
[508] | 698 | |
---|
[258] | 699 | IF(ln_ctl) THEN |
---|
[1060] | 700 | CALL prt_ctl( tab3d_1=en , clinfo1=' tke - e: ', tab3d_2=avt, clinfo2=' t: ', ovlap=1, kdim=jpk) |
---|
| 701 | CALL prt_ctl( tab3d_1=avmu, clinfo1=' tke - u: ', mask1=umask, & |
---|
| 702 | & tab3d_2=avmv, clinfo2= ' v: ', mask2=vmask, ovlap=1, kdim=jpk ) |
---|
[49] | 703 | ENDIF |
---|
[1060] | 704 | ! |
---|
[3] | 705 | END SUBROUTINE zdf_tke |
---|
| 706 | |
---|
| 707 | |
---|
| 708 | SUBROUTINE zdf_tke_init |
---|
| 709 | !!---------------------------------------------------------------------- |
---|
| 710 | !! *** ROUTINE zdf_tke_init *** |
---|
| 711 | !! |
---|
| 712 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
---|
| 713 | !! viscosity when using a tke turbulent closure scheme |
---|
| 714 | !! |
---|
| 715 | !! ** Method : Read the namtke namelist and check the parameters |
---|
| 716 | !! called at the first timestep (nit000) |
---|
| 717 | !! |
---|
| 718 | !! ** input : Namlist namtke |
---|
| 719 | !! |
---|
| 720 | !! ** Action : Increase by 1 the nstop flag is setting problem encounter |
---|
| 721 | !! |
---|
| 722 | !!---------------------------------------------------------------------- |
---|
| 723 | USE dynzdf_exp |
---|
| 724 | USE trazdf_exp |
---|
[508] | 725 | ! |
---|
[3] | 726 | # if defined key_vectopt_memory |
---|
[508] | 727 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
[3] | 728 | # else |
---|
[508] | 729 | INTEGER :: jk ! dummy loop indices |
---|
[3] | 730 | # endif |
---|
[1050] | 731 | !! |
---|
[1060] | 732 | NAMELIST/namtke/ ln_rstke, rn_ediff, rn_ediss, rn_ebb , rn_efave, rn_emin, & |
---|
| 733 | & rn_emin0, rn_cri , nn_itke , nn_mxl , nn_pdl , nn_ave , & |
---|
| 734 | & nn_avb , ln_mxl0 , rn_lmin , rn_lmin0, nn_havtb, nn_etau, & |
---|
| 735 | & nn_htau , rn_efr , ln_lc , rn_lc |
---|
[3] | 736 | !!---------------------------------------------------------------------- |
---|
| 737 | |
---|
| 738 | ! Read Namelist namtke : Turbulente Kinetic Energy |
---|
| 739 | ! -------------------- |
---|
| 740 | REWIND ( numnam ) |
---|
| 741 | READ ( numnam, namtke ) |
---|
| 742 | |
---|
| 743 | ! Compute boost associated with the Richardson critic |
---|
[1060] | 744 | ! (control values: rn_cri = 0.3 ==> eboost=1.25 for nn_pdl=1) |
---|
| 745 | ! ( rn_cri = 0.222 ==> eboost=1. ) |
---|
| 746 | eboost = rn_cri * ( 2. + rn_ediss / rn_ediff ) / 2. |
---|
[3] | 747 | |
---|
| 748 | |
---|
[1060] | 749 | |
---|
[3] | 750 | ! Parameter control and print |
---|
| 751 | ! --------------------------- |
---|
| 752 | ! Control print |
---|
| 753 | IF(lwp) THEN |
---|
| 754 | WRITE(numout,*) |
---|
| 755 | WRITE(numout,*) 'zdf_tke_init : tke turbulent closure scheme' |
---|
| 756 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
| 757 | WRITE(numout,*) ' Namelist namtke : set tke mixing parameters' |
---|
[1060] | 758 | WRITE(numout,*) ' restart with tke from no tke ln_rstke = ', ln_rstke |
---|
| 759 | WRITE(numout,*) ' coef. to compute avt rn_ediff = ', rn_ediff |
---|
| 760 | WRITE(numout,*) ' Kolmogoroff dissipation coef. rn_ediss = ', rn_ediss |
---|
| 761 | WRITE(numout,*) ' tke surface input coef. rn_ebb = ', rn_ebb |
---|
| 762 | WRITE(numout,*) ' tke diffusion coef. rn_efave = ', rn_efave |
---|
| 763 | WRITE(numout,*) ' minimum value of tke rn_emin = ', rn_emin |
---|
| 764 | WRITE(numout,*) ' surface minimum value of tke rn_emin0 = ', rn_emin0 |
---|
| 765 | WRITE(numout,*) ' number of restart iter loops nn_itke = ', nn_itke |
---|
| 766 | WRITE(numout,*) ' mixing length type nn_mxl = ', nn_mxl |
---|
| 767 | WRITE(numout,*) ' prandl number flag nn_pdl = ', nn_pdl |
---|
| 768 | WRITE(numout,*) ' horizontal average flag nn_ave = ', nn_ave |
---|
| 769 | WRITE(numout,*) ' critic Richardson nb rn_cri = ', rn_cri |
---|
| 770 | WRITE(numout,*) ' and its associated coeff. eboost = ', eboost |
---|
| 771 | WRITE(numout,*) ' constant background or profile nn_avb = ', nn_avb |
---|
| 772 | WRITE(numout,*) ' surface mixing length = F(stress) or not ln_mxl0 = ', ln_mxl0 |
---|
| 773 | WRITE(numout,*) ' surface mixing length minimum value rn_lmin0 = ', rn_lmin0 |
---|
| 774 | WRITE(numout,*) ' interior mixing length minimum value rn_lmin0 = ', rn_lmin0 |
---|
| 775 | WRITE(numout,*) ' horizontal variation for avtb nn_havtb = ', nn_havtb |
---|
| 776 | WRITE(numout,*) ' test param. to add tke induced by wind nn_etau = ', nn_etau |
---|
| 777 | WRITE(numout,*) ' flag for computation of exp. tke profile nn_htau = ', nn_htau |
---|
| 778 | WRITE(numout,*) ' % of rn_emin0 which pene. the thermocline rn_efr = ', rn_efr |
---|
| 779 | WRITE(numout,*) ' flag to take into acc. Langmuir circ. ln_lc = ', ln_lc |
---|
| 780 | WRITE(numout,*) ' coef to compute verticla velocity of LC rn_lc = ', rn_lc |
---|
[3] | 781 | WRITE(numout,*) |
---|
| 782 | ENDIF |
---|
| 783 | |
---|
[1060] | 784 | ! Check of some namelist values |
---|
| 785 | IF( nn_mxl < 0 .OR. nn_mxl > 3 ) CALL ctl_stop( 'bad flag: nn_mxl is 0, 1 or 2 ' ) |
---|
| 786 | IF( nn_pdl < 0 .OR. nn_pdl > 1 ) CALL ctl_stop( 'bad flag: nn_pdl is 0 or 1 ' ) |
---|
| 787 | IF( nn_ave < 0 .OR. nn_ave > 1 ) CALL ctl_stop( 'bad flag: nn_ave is 0 or 1 ' ) |
---|
| 788 | IF( nn_htau < 0 .OR. nn_htau > 2 ) CALL ctl_stop( 'bad flag: nn_htau is 0, 1 or 2 ' ) |
---|
| 789 | IF( rn_lc < 0.15 .OR. rn_lc > 0.2 ) CALL ctl_stop( 'bad value: rn_lc must be between 0.15 and 0.2 ' ) |
---|
[3] | 790 | |
---|
[1050] | 791 | IF( nn_etau == 2 ) CALL zdf_mxl( nit000 ) ! Initialization of nmln |
---|
| 792 | |
---|
[3] | 793 | ! Horizontal average : initialization of weighting arrays |
---|
| 794 | ! ------------------- |
---|
[1060] | 795 | ! |
---|
| 796 | SELECT CASE ( nn_ave ) |
---|
| 797 | ! Notice: mean arrays have not to by defined at local domain boundaries due to the vertical nature of TKE |
---|
| 798 | ! |
---|
[3] | 799 | CASE ( 0 ) ! no horizontal average |
---|
| 800 | IF(lwp) WRITE(numout,*) ' no horizontal average on avt, avmu, avmv' |
---|
| 801 | IF(lwp) WRITE(numout,*) ' only in very high horizontal resolution !' |
---|
| 802 | # if defined key_vectopt_memory |
---|
[508] | 803 | ! caution vectopt_memory change the solution (last digit of the solver stat) |
---|
[3] | 804 | ! weighting mean arrays etmean, eumean and evmean |
---|
| 805 | ! ( 1 1 ) ( 1 ) |
---|
| 806 | ! avt = 1/4 ( 1 1 ) avmu = 1/2 ( 1 1 ) avmv= 1/2 ( 1 ) |
---|
| 807 | ! |
---|
| 808 | etmean(:,:,:) = 0.e0 |
---|
| 809 | eumean(:,:,:) = 0.e0 |
---|
| 810 | evmean(:,:,:) = 0.e0 |
---|
[1060] | 811 | ! |
---|
[3] | 812 | DO jk = 1, jpkm1 |
---|
| 813 | DO jj = 2, jpjm1 |
---|
| 814 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[1060] | 815 | etmean(ji,jj,jk) = tmask(ji,jj,jk) / MAX( 1., umask(ji,jj,jk) + umask(ji-1,jj ,jk) & |
---|
| 816 | & + vmask(ji,jj,jk) + vmask(ji ,jj-1,jk) ) |
---|
| 817 | eumean(ji,jj,jk) = umask(ji,jj,jk) / MAX( 1., tmask(ji,jj,jk) + tmask(ji+1,jj ,jk) ) |
---|
| 818 | evmean(ji,jj,jk) = vmask(ji,jj,jk) / MAX( 1., tmask(ji,jj,jk) + tmask(ji ,jj+1,jk) ) |
---|
[3] | 819 | END DO |
---|
| 820 | END DO |
---|
| 821 | END DO |
---|
| 822 | # endif |
---|
[1060] | 823 | ! |
---|
[3] | 824 | CASE ( 1 ) ! horizontal average |
---|
| 825 | IF(lwp) WRITE(numout,*) ' horizontal average on avt, avmu, avmv' |
---|
| 826 | # if defined key_vectopt_memory |
---|
[508] | 827 | ! caution vectopt_memory change the solution (last digit of the solver stat) |
---|
[3] | 828 | ! weighting mean arrays etmean, eumean and evmean |
---|
| 829 | ! ( 1 1 ) ( 1/2 1/2 ) ( 1/2 1 1/2 ) |
---|
| 830 | ! avt = 1/4 ( 1 1 ) avmu = 1/4 ( 1 1 ) avmv= 1/4 ( 1/2 1 1/2 ) |
---|
| 831 | ! ( 1/2 1/2 ) |
---|
| 832 | etmean(:,:,:) = 0.e0 |
---|
| 833 | eumean(:,:,:) = 0.e0 |
---|
| 834 | evmean(:,:,:) = 0.e0 |
---|
[1060] | 835 | ! |
---|
[3] | 836 | DO jk = 1, jpkm1 |
---|
| 837 | DO jj = 2, jpjm1 |
---|
| 838 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[1060] | 839 | etmean(ji,jj,jk) = tmask(ji,jj,jk) / MAX( 1., umask(ji-1,jj ,jk) + umask(ji ,jj ,jk) & |
---|
| 840 | & + vmask(ji ,jj-1,jk) + vmask(ji ,jj ,jk) ) |
---|
| 841 | eumean(ji,jj,jk) = umask(ji,jj,jk) / MAX( 1., tmask(ji ,jj ,jk) + tmask(ji+1,jj ,jk) & |
---|
| 842 | & +.5 * ( tmask(ji ,jj-1,jk) + tmask(ji+1,jj-1,jk) & |
---|
| 843 | & + tmask(ji ,jj+1,jk) + tmask(ji+1,jj+1,jk) ) ) |
---|
| 844 | evmean(ji,jj,jk) = vmask(ji,jj,jk) / MAX( 1., tmask(ji ,jj ,jk) + tmask(ji ,jj+1,jk) & |
---|
| 845 | & +.5 * ( tmask(ji-1,jj ,jk) + tmask(ji-1,jj+1,jk) & |
---|
| 846 | & + tmask(ji+1,jj ,jk) + tmask(ji+1,jj+1,jk) ) ) |
---|
[3] | 847 | END DO |
---|
| 848 | END DO |
---|
| 849 | END DO |
---|
| 850 | # endif |
---|
[1060] | 851 | ! |
---|
[3] | 852 | END SELECT |
---|
| 853 | |
---|
| 854 | |
---|
| 855 | ! Background eddy viscosity and diffusivity profil |
---|
| 856 | ! ------------------------------------------------ |
---|
[1060] | 857 | IF( nn_avb == 0 ) THEN ! Define avmb, avtb from namelist parameter |
---|
[3] | 858 | avmb(:) = avm0 |
---|
| 859 | avtb(:) = avt0 |
---|
[1050] | 860 | ELSE ! Background profile of avt (fit a theoretical/observational profile (Krauss 1990) |
---|
[3] | 861 | avmb(:) = avm0 |
---|
[463] | 862 | avtb(:) = avt0 + ( 3.0e-4 - 2 * avt0 ) * 1.0e-4 * gdepw_0(:) ! m2/s |
---|
[1060] | 863 | IF(ln_sco .AND. lwp) CALL ctl_warn( ' avtb profile not valid in sco' ) |
---|
[422] | 864 | ENDIF |
---|
[1060] | 865 | ! |
---|
[1050] | 866 | ! ! 2D shape of the avtb |
---|
| 867 | avtb_2d(:,:) = 1.e0 ! uniform |
---|
| 868 | ! |
---|
[1060] | 869 | IF( nn_havtb == 1 ) THEN ! decrease avtb in the equatorial band |
---|
[1050] | 870 | ! -15S -5S : linear decrease from avt0 to avt0/10. |
---|
| 871 | ! -5S +5N : cst value avt0/10. |
---|
| 872 | ! 5N 15N : linear increase from avt0/10, to avt0 |
---|
| 873 | WHERE(-15. <= gphit .AND. gphit < -5 ) avtb_2d = (1. - 0.09 * (gphit + 15.)) |
---|
| 874 | WHERE( -5. <= gphit .AND. gphit < 5 ) avtb_2d = 0.1 |
---|
| 875 | WHERE( 5. <= gphit .AND. gphit < 15 ) avtb_2d = (0.1 + 0.09 * (gphit - 5.)) |
---|
| 876 | ENDIF |
---|
| 877 | |
---|
[1060] | 878 | !!gm the increase is only required when using cen2 advection scheme |
---|
| 879 | !!gm for the equatorial upwelling. ===> use of TVD in ORCA so this have to be suppressed |
---|
[463] | 880 | ! Increase the background in the surface layers |
---|
| 881 | avmb(1) = 10. * avmb(1) ; avtb(1) = 10. * avtb(1) |
---|
| 882 | avmb(2) = 10. * avmb(2) ; avtb(2) = 10. * avtb(2) |
---|
| 883 | avmb(3) = 5. * avmb(3) ; avtb(3) = 5. * avtb(3) |
---|
| 884 | avmb(4) = 2.5 * avmb(4) ; avtb(4) = 2.5 * avtb(4) |
---|
[1060] | 885 | !!gm end |
---|
[3] | 886 | |
---|
[463] | 887 | |
---|
[3] | 888 | ! Initialization of vertical eddy coef. to the background value |
---|
| 889 | ! ------------------------------------------------------------- |
---|
| 890 | DO jk = 1, jpk |
---|
| 891 | avt (:,:,jk) = avtb(jk) * tmask(:,:,jk) |
---|
| 892 | avmu(:,:,jk) = avmb(jk) * umask(:,:,jk) |
---|
| 893 | avmv(:,:,jk) = avmb(jk) * vmask(:,:,jk) |
---|
| 894 | END DO |
---|
| 895 | |
---|
| 896 | |
---|
[508] | 897 | ! read or initialize turbulent kinetic energy ( en ) |
---|
[3] | 898 | ! ------------------------------------------------- |
---|
[508] | 899 | CALL tke_rst( nit000, 'READ' ) |
---|
| 900 | ! |
---|
[3] | 901 | END SUBROUTINE zdf_tke_init |
---|
| 902 | |
---|
[508] | 903 | |
---|
| 904 | SUBROUTINE tke_rst( kt, cdrw ) |
---|
| 905 | !!--------------------------------------------------------------------- |
---|
| 906 | !! *** ROUTINE ts_rst *** |
---|
| 907 | !! |
---|
[1060] | 908 | !! ** Purpose : Read or write TKE file (en) in restart file |
---|
[508] | 909 | !! |
---|
[1060] | 910 | !! ** Method : use of IOM library |
---|
| 911 | !! if the restart does not contain TKE, en is either |
---|
| 912 | !! set to rn_emin or recomputed (nn_itke/=0) |
---|
[508] | 913 | !!---------------------------------------------------------------------- |
---|
| 914 | INTEGER , INTENT(in) :: kt ! ocean time-step |
---|
| 915 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
---|
| 916 | ! |
---|
| 917 | INTEGER :: jit ! dummy loop indices |
---|
| 918 | !!---------------------------------------------------------------------- |
---|
| 919 | ! |
---|
| 920 | IF( TRIM(cdrw) == 'READ' ) THEN |
---|
| 921 | IF( ln_rstart ) THEN |
---|
[746] | 922 | IF( iom_varid( numror, 'en', ldstop = .FALSE. ) > 0 .AND. .NOT.(ln_rstke) ) THEN |
---|
[683] | 923 | CALL iom_get( numror, jpdom_autoglo, 'en', en ) |
---|
[508] | 924 | ELSE |
---|
[746] | 925 | IF( lwp .AND. iom_varid( numror, 'en', ldstop = .FALSE. ) > 0 ) & |
---|
| 926 | & WRITE(numout,*) ' ===>>>> : previous run without tke scheme' |
---|
| 927 | IF( lwp .AND. ln_rstke ) WRITE(numout,*) ' ===>>>> : We do not use en from the restart file' |
---|
[1060] | 928 | IF( lwp ) WRITE(numout,*) ' ===>>>> : en is set by iterative loop' |
---|
| 929 | en (:,:,:) = rn_emin * tmask(:,:,:) |
---|
| 930 | DO jit = 2, nn_itke + 1 |
---|
[508] | 931 | CALL zdf_tke( jit ) |
---|
| 932 | END DO |
---|
| 933 | ENDIF |
---|
| 934 | ELSE |
---|
[1060] | 935 | en(:,:,:) = rn_emin * tmask(:,:,:) ! no restart: en set to its minimum value |
---|
[508] | 936 | ENDIF |
---|
| 937 | ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN |
---|
| 938 | CALL iom_rstput( kt, nitrst, numrow, 'en', en ) |
---|
| 939 | ENDIF |
---|
| 940 | ! |
---|
| 941 | END SUBROUTINE tke_rst |
---|
| 942 | |
---|
[3] | 943 | #else |
---|
| 944 | !!---------------------------------------------------------------------- |
---|
| 945 | !! Dummy module : NO TKE scheme |
---|
| 946 | !!---------------------------------------------------------------------- |
---|
[552] | 947 | LOGICAL, PUBLIC, PARAMETER :: lk_zdftke = .FALSE. !: TKE flag |
---|
[3] | 948 | CONTAINS |
---|
| 949 | SUBROUTINE zdf_tke( kt ) ! Empty routine |
---|
[16] | 950 | WRITE(*,*) 'zdf_tke: You should not have seen this print! error?', kt |
---|
[3] | 951 | END SUBROUTINE zdf_tke |
---|
| 952 | #endif |
---|
| 953 | |
---|
| 954 | !!====================================================================== |
---|
| 955 | END MODULE zdftke |
---|