| 1 | MODULE zdftke |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE zdftke *** |
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| 4 | !! Ocean physics: vertical mixing coefficient computed from the tke |
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| 5 | !! turbulent closure parameterization |
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| 6 | !!===================================================================== |
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| 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 tke_init routine |
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| 16 | !! - ! 2004-10 (C. Ethe ) 1D configuration |
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| 17 | !! 2.0 ! 2006-07 (S. Masson) distributed restart using iom |
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| 18 | !! 3.0 ! 2008-05 (C. Ethe, G.Madec) : update TKE physics: |
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| 19 | !! ! - tke penetration (wind steering) |
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| 20 | !! ! - suface condition for tke & mixing length |
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| 21 | !! ! - Langmuir cells |
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| 22 | !! - ! 2008-05 (J.-M. Molines, G. Madec) 2D form of avtb |
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| 23 | !! - ! 2008-06 (G. Madec) style + DOCTOR name for namelist parameters |
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| 24 | !! - ! 2008-12 (G. Reffray) stable discretization of the production term |
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| 25 | !! 3.2 ! 2009-06 (G. Madec, S. Masson) TKE restart compatible with key_cpl |
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| 26 | !! ! + cleaning of the parameters + bugs correction |
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| 27 | !! 3.3 ! 2010-10 (C. Ethe, G. Madec) reorganisation of initialisation phase |
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| 28 | !! 3.6 ! 2014-11 (P. Mathiot) add ice shelf capability |
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| 29 | !!---------------------------------------------------------------------- |
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| 30 | #if defined key_zdftke || defined key_esopa |
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| 31 | !!---------------------------------------------------------------------- |
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| 32 | !! 'key_zdftke' TKE vertical physics |
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| 33 | !!---------------------------------------------------------------------- |
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| 34 | !! zdf_tke : update momentum and tracer Kz from a tke scheme |
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| 35 | !! tke_tke : tke time stepping: update tke at now time step (en) |
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| 36 | !! tke_avn : compute mixing length scale and deduce avm and avt |
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| 37 | !! zdf_tke_init : initialization, namelist read, and parameters control |
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| 38 | !! tke_rst : read/write tke restart in ocean restart file |
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| 39 | !!---------------------------------------------------------------------- |
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| 40 | USE oce ! ocean: dynamics and active tracers variables |
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| 41 | USE phycst ! physical constants |
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| 42 | USE dom_oce ! domain: ocean |
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| 43 | USE domvvl ! domain: variable volume layer |
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| 44 | USE sbc_oce ! surface boundary condition: ocean |
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| 45 | USE zdf_oce ! vertical physics: ocean variables |
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| 46 | USE zdfmxl ! vertical physics: mixed layer |
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| 47 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 48 | USE prtctl ! Print control |
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| 49 | USE in_out_manager ! I/O manager |
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| 50 | USE iom ! I/O manager library |
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| 51 | USE lib_mpp ! MPP library |
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| 52 | USE wrk_nemo ! work arrays |
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| 53 | USE timing ! Timing |
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| 54 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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| 55 | #if defined key_agrif |
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| 56 | USE agrif_opa_interp |
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| 57 | USE agrif_opa_update |
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| 58 | #endif |
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| 59 | |
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| 60 | |
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| 61 | |
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| 62 | IMPLICIT NONE |
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| 63 | PRIVATE |
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| 64 | |
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| 65 | PUBLIC zdf_tke ! routine called in step module |
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| 66 | PUBLIC zdf_tke_init ! routine called in opa module |
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| 67 | PUBLIC tke_rst ! routine called in step module |
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| 68 | |
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| 69 | LOGICAL , PUBLIC, PARAMETER :: lk_zdftke = .TRUE. !: TKE vertical mixing flag |
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| 70 | |
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| 71 | ! !!** Namelist namzdf_tke ** |
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| 72 | LOGICAL :: ln_mxl0 ! mixing length scale surface value as function of wind stress or not |
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| 73 | INTEGER :: nn_mxl ! type of mixing length (=0/1/2/3) |
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| 74 | REAL(wp) :: rn_mxl0 ! surface min value of mixing length (kappa*z_o=0.4*0.1 m) [m] |
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| 75 | INTEGER :: nn_pdl ! Prandtl number or not (ratio avt/avm) (=0/1) |
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| 76 | REAL(wp) :: rn_ediff ! coefficient for avt: avt=rn_ediff*mxl*sqrt(e) |
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| 77 | REAL(wp) :: rn_ediss ! coefficient of the Kolmogoroff dissipation |
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| 78 | REAL(wp) :: rn_ebb ! coefficient of the surface input of tke |
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| 79 | REAL(wp) :: rn_emin ! minimum value of tke [m2/s2] |
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| 80 | REAL(wp) :: rn_emin0 ! surface minimum value of tke [m2/s2] |
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| 81 | REAL(wp) :: rn_bshear ! background shear (>0) currently a numerical threshold (do not change it) |
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| 82 | INTEGER :: nn_etau ! type of depth penetration of surface tke (=0/1/2/3) |
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| 83 | INTEGER :: nn_htau ! type of tke profile of penetration (=0/1) |
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| 84 | REAL(wp) :: rn_efr ! fraction of TKE surface value which penetrates in the ocean |
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| 85 | LOGICAL :: ln_lc ! Langmuir cells (LC) as a source term of TKE or not |
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| 86 | REAL(wp) :: rn_lc ! coef to compute vertical velocity of Langmuir cells |
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| 87 | |
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| 88 | REAL(wp) :: ri_cri ! critic Richardson number (deduced from rn_ediff and rn_ediss values) |
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| 89 | REAL(wp) :: rmxl_min ! minimum mixing length value (deduced from rn_ediff and rn_emin values) [m] |
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| 90 | REAL(wp) :: rhftau_add = 1.e-3_wp ! add offset applied to HF part of taum (nn_etau=3) |
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| 91 | REAL(wp) :: rhftau_scl = 1.0_wp ! scale factor applied to HF part of taum (nn_etau=3) |
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| 92 | |
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| 93 | REAL(wp) , ALLOCATABLE, SAVE, DIMENSION(:,:) :: htau ! depth of tke penetration (nn_htau) |
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| 94 | REAL(wp) , ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: dissl ! now mixing lenght of dissipation |
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| 95 | #if defined key_c1d |
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| 96 | ! !!** 1D cfg only ** ('key_c1d') |
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| 97 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: e_dis, e_mix !: dissipation and mixing turbulent lengh scales |
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| 98 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: e_pdl, e_ric !: prandl and local Richardson numbers |
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| 99 | #endif |
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| 100 | |
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| 101 | !! * Substitutions |
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| 102 | # include "domzgr_substitute.h90" |
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| 103 | # include "vectopt_loop_substitute.h90" |
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| 104 | !!---------------------------------------------------------------------- |
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| 105 | !! NEMO/OPA 4.0 , NEMO Consortium (2011) |
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| 106 | !! $Id$ |
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| 107 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 108 | !!---------------------------------------------------------------------- |
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| 109 | CONTAINS |
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| 110 | |
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| 111 | INTEGER FUNCTION zdf_tke_alloc() |
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| 112 | !!---------------------------------------------------------------------- |
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| 113 | !! *** FUNCTION zdf_tke_alloc *** |
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| 114 | !!---------------------------------------------------------------------- |
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| 115 | ALLOCATE( & |
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| 116 | #if defined key_c1d |
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| 117 | & e_dis(jpi,jpj,jpk) , e_mix(jpi,jpj,jpk) , & |
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| 118 | & e_pdl(jpi,jpj,jpk) , e_ric(jpi,jpj,jpk) , & |
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| 119 | #endif |
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| 120 | & htau (jpi,jpj) , dissl(jpi,jpj,jpk) , STAT= zdf_tke_alloc ) |
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| 121 | ! |
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| 122 | IF( lk_mpp ) CALL mpp_sum ( zdf_tke_alloc ) |
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| 123 | IF( zdf_tke_alloc /= 0 ) CALL ctl_warn('zdf_tke_alloc: failed to allocate arrays') |
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| 124 | ! |
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| 125 | END FUNCTION zdf_tke_alloc |
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| 126 | |
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| 127 | |
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| 128 | SUBROUTINE zdf_tke( kt ) |
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| 129 | !!---------------------------------------------------------------------- |
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| 130 | !! *** ROUTINE zdf_tke *** |
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| 131 | !! |
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| 132 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
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| 133 | !! coefficients using a turbulent closure scheme (TKE). |
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| 134 | !! |
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| 135 | !! ** Method : The time evolution of the turbulent kinetic energy (tke) |
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| 136 | !! is computed from a prognostic equation : |
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| 137 | !! d(en)/dt = avm (d(u)/dz)**2 ! shear production |
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| 138 | !! + d( avm d(en)/dz )/dz ! diffusion of tke |
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| 139 | !! + avt N^2 ! stratif. destruc. |
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| 140 | !! - rn_ediss / emxl en**(2/3) ! Kolmogoroff dissipation |
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| 141 | !! with the boundary conditions: |
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| 142 | !! surface: en = max( rn_emin0, rn_ebb * taum ) |
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| 143 | !! bottom : en = rn_emin |
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| 144 | !! The associated critical Richardson number is: ri_cri = 2/(2+rn_ediss/rn_ediff) |
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| 145 | !! |
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| 146 | !! The now Turbulent kinetic energy is computed using the following |
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| 147 | !! time stepping: implicit for vertical diffusion term, linearized semi |
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| 148 | !! implicit for kolmogoroff dissipation term, and explicit forward for |
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| 149 | !! both buoyancy and shear production terms. Therefore a tridiagonal |
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| 150 | !! linear system is solved. Note that buoyancy and shear terms are |
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| 151 | !! discretized in a energy conserving form (Bruchard 2002). |
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| 152 | !! |
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| 153 | !! The dissipative and mixing length scale are computed from en and |
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| 154 | !! the stratification (see tke_avn) |
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| 155 | !! |
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| 156 | !! The now vertical eddy vicosity and diffusivity coefficients are |
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| 157 | !! given by: |
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| 158 | !! avm = max( avtb, rn_ediff * zmxlm * en^1/2 ) |
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| 159 | !! avt = max( avmb, pdl * avm ) |
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| 160 | !! eav = max( avmb, avm ) |
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| 161 | !! where pdl, the inverse of the Prandtl number is 1 if nn_pdl=0 and |
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| 162 | !! given by an empirical funtion of the localRichardson number if nn_pdl=1 |
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| 163 | !! |
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| 164 | !! ** Action : compute en (now turbulent kinetic energy) |
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| 165 | !! update avt, avmu, avmv (before vertical eddy coef.) |
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| 166 | !! |
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| 167 | !! References : Gaspar et al., JGR, 1990, |
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| 168 | !! Blanke and Delecluse, JPO, 1991 |
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| 169 | !! Mellor and Blumberg, JPO 2004 |
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| 170 | !! Axell, JGR, 2002 |
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| 171 | !! Bruchard OM 2002 |
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| 172 | !!---------------------------------------------------------------------- |
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| 173 | INTEGER, INTENT(in) :: kt ! ocean time step |
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| 174 | !!---------------------------------------------------------------------- |
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| 175 | ! |
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| 176 | IF( kt /= nit000 ) THEN ! restore before value to compute tke |
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| 177 | avt (:,:,:) = avt_k (:,:,:) |
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| 178 | avm (:,:,:) = avm_k (:,:,:) |
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| 179 | avmu(:,:,:) = avmu_k(:,:,:) |
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| 180 | avmv(:,:,:) = avmv_k(:,:,:) |
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| 181 | ENDIF |
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| 182 | ! |
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| 183 | CALL tke_tke ! now tke (en) |
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| 184 | ! |
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| 185 | CALL tke_avn ! now avt, avm, avmu, avmv |
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| 186 | ! |
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| 187 | avt_k (:,:,:) = avt (:,:,:) |
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| 188 | avm_k (:,:,:) = avm (:,:,:) |
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| 189 | avmu_k(:,:,:) = avmu(:,:,:) |
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| 190 | avmv_k(:,:,:) = avmv(:,:,:) |
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| 191 | ! |
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| 192 | #if defined key_agrif |
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| 193 | ! Update child grid f => parent grid |
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| 194 | !!! JC: suppress update since this hampers restartability |
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| 195 | !!! IF( .NOT.Agrif_Root() ) CALL Agrif_Update_Tke( kt ) ! children only |
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| 196 | #endif |
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| 197 | ! |
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| 198 | END SUBROUTINE zdf_tke |
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| 199 | |
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| 200 | |
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| 201 | SUBROUTINE tke_tke |
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| 202 | !!---------------------------------------------------------------------- |
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| 203 | !! *** ROUTINE tke_tke *** |
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| 204 | !! |
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| 205 | !! ** Purpose : Compute the now Turbulente Kinetic Energy (TKE) |
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| 206 | !! |
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| 207 | !! ** Method : - TKE surface boundary condition |
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| 208 | !! - source term due to Langmuir cells (Axell JGR 2002) (ln_lc=T) |
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| 209 | !! - source term due to shear (saved in avmu, avmv arrays) |
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| 210 | !! - Now TKE : resolution of the TKE equation by inverting |
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| 211 | !! a tridiagonal linear system by a "methode de chasse" |
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| 212 | !! - increase TKE due to surface and internal wave breaking |
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| 213 | !! |
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| 214 | !! ** Action : - en : now turbulent kinetic energy) |
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| 215 | !! - avmu, avmv : production of TKE by shear at u and v-points |
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| 216 | !! (= Kz dz[Ub] * dz[Un] ) |
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| 217 | !! --------------------------------------------------------------------- |
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| 218 | INTEGER :: ji, jj, jk ! dummy loop arguments |
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| 219 | !!bfr INTEGER :: ikbu, ikbv, ikbum1, ikbvm1 ! temporary scalar |
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| 220 | !!bfr INTEGER :: ikbt, ikbumm1, ikbvmm1 ! temporary scalar |
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| 221 | REAL(wp) :: zrhoa = 1.22 ! Air density kg/m3 |
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| 222 | REAL(wp) :: zcdrag = 1.5e-3 ! drag coefficient |
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| 223 | REAL(wp) :: zbbrau, zesh2 ! temporary scalars |
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| 224 | REAL(wp) :: zfact1, zfact2, zfact3 ! - - |
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| 225 | REAL(wp) :: ztx2 , zty2 , zcof ! - - |
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| 226 | REAL(wp) :: ztau , zdif ! - - |
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| 227 | REAL(wp) :: zus , zwlc , zind ! - - |
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| 228 | REAL(wp) :: zzd_up, zzd_lw ! - - |
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| 229 | !!bfr REAL(wp) :: zebot ! - - |
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| 230 | INTEGER , POINTER, DIMENSION(:,: ) :: imlc |
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| 231 | REAL(wp), POINTER, DIMENSION(:,: ) :: zhlc |
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| 232 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zpelc, zdiag, zd_up, zd_lw |
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| 233 | !!-------------------------------------------------------------------- |
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| 234 | ! |
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| 235 | IF( nn_timing == 1 ) CALL timing_start('tke_tke') |
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| 236 | ! |
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| 237 | CALL wrk_alloc( jpi,jpj, imlc ) ! integer |
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| 238 | CALL wrk_alloc( jpi,jpj, zhlc ) |
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| 239 | CALL wrk_alloc( jpi,jpj,jpk, zpelc, zdiag, zd_up, zd_lw ) |
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| 240 | ! |
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| 241 | zbbrau = rn_ebb / rau0 ! Local constant initialisation |
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| 242 | zfact1 = -.5_wp * rdt |
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| 243 | zfact2 = 1.5_wp * rdt * rn_ediss |
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| 244 | zfact3 = 0.5_wp * rn_ediss |
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| 245 | ! |
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| 246 | ! |
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| 247 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 248 | ! ! Surface boundary condition on tke |
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| 249 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 250 | IF ( ln_isfcav ) THEN |
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| 251 | DO jj = 2, jpjm1 ! en(mikt(ji,jj)) = rn_emin |
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| 252 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 253 | en(ji,jj,mikt(ji,jj))=rn_emin * tmask(ji,jj,1) |
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| 254 | END DO |
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| 255 | END DO |
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| 256 | END IF |
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| 257 | DO jj = 2, jpjm1 ! en(1) = rn_ebb taum / rau0 (min value rn_emin0) |
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| 258 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 259 | en(ji,jj,1) = MAX( rn_emin0, zbbrau * taum(ji,jj) ) * tmask(ji,jj,1) |
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| 260 | END DO |
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| 261 | END DO |
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| 262 | |
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| 263 | !!bfr - start commented area |
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| 264 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 265 | ! ! Bottom boundary condition on tke |
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| 266 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 267 | ! |
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| 268 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 269 | ! Tests to date have found the bottom boundary condition on tke to have very little effect. |
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| 270 | ! The condition is coded here for completion but commented out until there is proof that the |
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| 271 | ! computational cost is justified |
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| 272 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 273 | ! en(bot) = (rn_ebb0/rau0)*0.5*sqrt(u_botfr^2+v_botfr^2) (min value rn_emin) |
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| 274 | !CDIR NOVERRCHK |
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| 275 | !! DO jj = 2, jpjm1 |
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| 276 | !CDIR NOVERRCHK |
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| 277 | !! DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 278 | !! ztx2 = bfrua(ji-1,jj) * ub(ji-1,jj,mbku(ji-1,jj)) + & |
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| 279 | !! bfrua(ji ,jj) * ub(ji ,jj,mbku(ji ,jj) ) |
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| 280 | !! zty2 = bfrva(ji,jj ) * vb(ji,jj ,mbkv(ji,jj )) + & |
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| 281 | !! bfrva(ji,jj-1) * vb(ji,jj-1,mbkv(ji,jj-1) ) |
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| 282 | !! zebot = 0.001875_wp * SQRT( ztx2 * ztx2 + zty2 * zty2 ) ! where 0.001875 = (rn_ebb0/rau0) * 0.5 = 3.75*0.5/1000. |
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| 283 | !! en (ji,jj,mbkt(ji,jj)+1) = MAX( zebot, rn_emin ) * tmask(ji,jj,1) |
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| 284 | !! END DO |
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| 285 | !! END DO |
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| 286 | !!bfr - end commented area |
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| 287 | ! |
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| 288 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 289 | IF( ln_lc ) THEN ! Langmuir circulation source term added to tke (Axell JGR 2002) |
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| 290 | ! !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
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| 291 | ! |
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| 292 | ! !* total energy produce by LC : cumulative sum over jk |
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| 293 | zpelc(:,:,1) = MAX( rn2b(:,:,1), 0._wp ) * fsdepw(:,:,1) * fse3w(:,:,1) |
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| 294 | DO jk = 2, jpk |
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| 295 | zpelc(:,:,jk) = zpelc(:,:,jk-1) + MAX( rn2b(:,:,jk), 0._wp ) * fsdepw(:,:,jk) * fse3w(:,:,jk) |
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| 296 | END DO |
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| 297 | ! !* finite Langmuir Circulation depth |
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| 298 | zcof = 0.5 * 0.016 * 0.016 / ( zrhoa * zcdrag ) |
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| 299 | imlc(:,:) = mbkt(:,:) + 1 ! Initialization to the number of w ocean point (=2 over land) |
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| 300 | DO jk = jpkm1, 2, -1 |
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| 301 | DO jj = 1, jpj ! Last w-level at which zpelc>=0.5*us*us |
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| 302 | DO ji = 1, jpi ! with us=0.016*wind(starting from jpk-1) |
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| 303 | zus = zcof * taum(ji,jj) |
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| 304 | IF( zpelc(ji,jj,jk) > zus ) imlc(ji,jj) = jk |
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| 305 | END DO |
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| 306 | END DO |
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| 307 | END DO |
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| 308 | ! ! finite LC depth |
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| 309 | DO jj = 1, jpj |
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| 310 | DO ji = 1, jpi |
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| 311 | zhlc(ji,jj) = fsdepw(ji,jj,imlc(ji,jj)) |
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| 312 | END DO |
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| 313 | END DO |
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| 314 | zcof = 0.016 / SQRT( zrhoa * zcdrag ) |
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| 315 | !CDIR NOVERRCHK |
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| 316 | DO jk = 2, jpkm1 !* TKE Langmuir circulation source term added to en |
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| 317 | !CDIR NOVERRCHK |
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| 318 | DO jj = 2, jpjm1 |
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| 319 | !CDIR NOVERRCHK |
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| 320 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 321 | zus = zcof * SQRT( taum(ji,jj) ) ! Stokes drift |
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| 322 | ! ! vertical velocity due to LC |
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| 323 | zind = 0.5 - SIGN( 0.5, fsdepw(ji,jj,jk) - zhlc(ji,jj) ) |
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| 324 | zwlc = zind * rn_lc * zus * SIN( rpi * fsdepw(ji,jj,jk) / zhlc(ji,jj) ) |
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| 325 | ! ! TKE Langmuir circulation source term |
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| 326 | en(ji,jj,jk) = en(ji,jj,jk) + rdt * MAX(0.,1._wp - 2.*fr_i(ji,jj) ) * ( zwlc * zwlc * zwlc ) / & |
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| 327 | & zhlc(ji,jj) * wmask(ji,jj,jk) * tmask(ji,jj,1) |
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| 328 | END DO |
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| 329 | END DO |
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| 330 | END DO |
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| 331 | ! |
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| 332 | ENDIF |
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| 333 | ! |
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| 334 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 335 | ! ! Now Turbulent kinetic energy (output in en) |
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| 336 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 337 | ! ! Resolution of a tridiagonal linear system by a "methode de chasse" |
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| 338 | ! ! computation from level 2 to jpkm1 (e(1) already computed and e(jpk)=0 ). |
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| 339 | ! ! zdiag : diagonal zd_up : upper diagonal zd_lw : lower diagonal |
|---|
| 340 | ! |
|---|
| 341 | DO jk = 2, jpkm1 !* Shear production at uw- and vw-points (energy conserving form) |
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| 342 | DO jj = 1, jpj ! here avmu, avmv used as workspace |
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| 343 | DO ji = 1, jpi |
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| 344 | avmu(ji,jj,jk) = avmu(ji,jj,jk) * ( un(ji,jj,jk-1) - un(ji,jj,jk) ) & |
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| 345 | & * ( ub(ji,jj,jk-1) - ub(ji,jj,jk) ) & |
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| 346 | & / ( fse3uw_n(ji,jj,jk) & |
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| 347 | & * fse3uw_b(ji,jj,jk) ) |
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| 348 | avmv(ji,jj,jk) = avmv(ji,jj,jk) * ( vn(ji,jj,jk-1) - vn(ji,jj,jk) ) & |
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| 349 | & * ( vb(ji,jj,jk-1) - vb(ji,jj,jk) ) & |
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| 350 | & / ( fse3vw_n(ji,jj,jk) & |
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| 351 | & * fse3vw_b(ji,jj,jk) ) |
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| 352 | END DO |
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| 353 | END DO |
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| 354 | END DO |
|---|
| 355 | ! |
|---|
| 356 | DO jk = 2, jpkm1 !* Matrix and right hand side in en |
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| 357 | DO jj = 2, jpjm1 |
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| 358 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 359 | zcof = zfact1 * tmask(ji,jj,jk) |
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| 360 | # if defined key_zdftmx_new |
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| 361 | ! key_zdftmx_new: New internal wave-driven param: set a minimum value for Kz on TKE (ensure numerical stability) |
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| 362 | zzd_up = zcof * ( MAX( avm(ji,jj,jk+1) + avm(ji,jj,jk), 2.e-5_wp ) ) & ! upper diagonal |
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| 363 | & / ( fse3t(ji,jj,jk ) * fse3w(ji,jj,jk ) ) |
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| 364 | zzd_lw = zcof * ( MAX( avm(ji,jj,jk) + avm(ji,jj,jk-1), 2.e-5_wp ) ) & ! lower diagonal |
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| 365 | & / ( fse3t(ji,jj,jk-1) * fse3w(ji,jj,jk ) ) |
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| 366 | # else |
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| 367 | zzd_up = zcof * ( avm (ji,jj,jk+1) + avm (ji,jj,jk ) ) & ! upper diagonal |
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| 368 | & / ( fse3t(ji,jj,jk ) * fse3w(ji,jj,jk ) ) |
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| 369 | zzd_lw = zcof * ( avm (ji,jj,jk ) + avm (ji,jj,jk-1) ) & ! lower diagonal |
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| 370 | & / ( fse3t(ji,jj,jk-1) * fse3w(ji,jj,jk ) ) |
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| 371 | # endif |
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| 372 | ! ! shear prod. at w-point weightened by mask |
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| 373 | zesh2 = ( avmu(ji-1,jj,jk) + avmu(ji,jj,jk) ) / MAX( 1._wp , umask(ji-1,jj,jk) + umask(ji,jj,jk) ) & |
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| 374 | & + ( avmv(ji,jj-1,jk) + avmv(ji,jj,jk) ) / MAX( 1._wp , vmask(ji,jj-1,jk) + vmask(ji,jj,jk) ) |
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| 375 | ! |
|---|
| 376 | zd_up(ji,jj,jk) = zzd_up ! Matrix (zdiag, zd_up, zd_lw) |
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| 377 | zd_lw(ji,jj,jk) = zzd_lw |
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| 378 | zdiag(ji,jj,jk) = 1._wp - zzd_lw - zzd_up + zfact2 * dissl(ji,jj,jk) * tmask(ji,jj,jk) |
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| 379 | ! |
|---|
| 380 | ! ! right hand side in en |
|---|
| 381 | en(ji,jj,jk) = en(ji,jj,jk) + rdt * ( zesh2 - avt(ji,jj,jk) * rn2(ji,jj,jk) & |
|---|
| 382 | & + zfact3 * dissl(ji,jj,jk) * en (ji,jj,jk) ) & |
|---|
| 383 | & * wmask(ji,jj,jk) |
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| 384 | END DO |
|---|
| 385 | END DO |
|---|
| 386 | END DO |
|---|
| 387 | ! !* Matrix inversion from level 2 (tke prescribed at level 1) |
|---|
| 388 | DO jk = 3, jpkm1 ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1 |
|---|
| 389 | DO jj = 2, jpjm1 |
|---|
| 390 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 391 | zdiag(ji,jj,jk) = zdiag(ji,jj,jk) - zd_lw(ji,jj,jk) * zd_up(ji,jj,jk-1) / zdiag(ji,jj,jk-1) |
|---|
| 392 | END DO |
|---|
| 393 | END DO |
|---|
| 394 | END DO |
|---|
| 395 | ! |
|---|
| 396 | ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1 |
|---|
| 397 | DO jj = 2, jpjm1 |
|---|
| 398 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 399 | zd_lw(ji,jj,2) = en(ji,jj,2) - zd_lw(ji,jj,2) * en(ji,jj,1) ! Surface boudary conditions on tke |
|---|
| 400 | END DO |
|---|
| 401 | END DO |
|---|
| 402 | DO jk = 3, jpkm1 |
|---|
| 403 | DO jj = 2, jpjm1 |
|---|
| 404 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 405 | zd_lw(ji,jj,jk) = en(ji,jj,jk) - zd_lw(ji,jj,jk) / zdiag(ji,jj,jk-1) *zd_lw(ji,jj,jk-1) |
|---|
| 406 | END DO |
|---|
| 407 | END DO |
|---|
| 408 | END DO |
|---|
| 409 | ! |
|---|
| 410 | ! thrid recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk |
|---|
| 411 | DO jj = 2, jpjm1 |
|---|
| 412 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 413 | en(ji,jj,jpkm1) = zd_lw(ji,jj,jpkm1) / zdiag(ji,jj,jpkm1) |
|---|
| 414 | END DO |
|---|
| 415 | END DO |
|---|
| 416 | DO jk = jpk-2, 2, -1 |
|---|
| 417 | DO jj = 2, jpjm1 |
|---|
| 418 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 419 | en(ji,jj,jk) = ( zd_lw(ji,jj,jk) - zd_up(ji,jj,jk) * en(ji,jj,jk+1) ) / zdiag(ji,jj,jk) |
|---|
| 420 | END DO |
|---|
| 421 | END DO |
|---|
| 422 | END DO |
|---|
| 423 | DO jk = 2, jpkm1 ! set the minimum value of tke |
|---|
| 424 | DO jj = 2, jpjm1 |
|---|
| 425 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 426 | en(ji,jj,jk) = MAX( en(ji,jj,jk), rn_emin ) * wmask(ji,jj,jk) |
|---|
| 427 | END DO |
|---|
| 428 | END DO |
|---|
| 429 | END DO |
|---|
| 430 | |
|---|
| 431 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 432 | ! ! TKE due to surface and internal wave breaking |
|---|
| 433 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 434 | IF( nn_etau == 1 ) THEN !* penetration below the mixed layer (rn_efr fraction) |
|---|
| 435 | DO jk = 2, jpkm1 |
|---|
| 436 | DO jj = 2, jpjm1 |
|---|
| 437 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 438 | en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -fsdepw(ji,jj,jk) / htau(ji,jj) ) & |
|---|
| 439 | & * MAX(0.,1._wp - 2.*fr_i(ji,jj) ) * wmask(ji,jj,jk) * tmask(ji,jj,1) |
|---|
| 440 | END DO |
|---|
| 441 | END DO |
|---|
| 442 | END DO |
|---|
| 443 | ELSEIF( nn_etau == 2 ) THEN !* act only at the base of the mixed layer (jk=nmln) (rn_efr fraction) |
|---|
| 444 | DO jj = 2, jpjm1 |
|---|
| 445 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 446 | jk = nmln(ji,jj) |
|---|
| 447 | en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -fsdepw(ji,jj,jk) / htau(ji,jj) ) & |
|---|
| 448 | & * MAX(0.,1._wp - 2.*fr_i(ji,jj) ) * wmask(ji,jj,jk) * tmask(ji,jj,1) |
|---|
| 449 | END DO |
|---|
| 450 | END DO |
|---|
| 451 | ELSEIF( nn_etau == 3 ) THEN !* penetration belox the mixed layer (HF variability) |
|---|
| 452 | !CDIR NOVERRCHK |
|---|
| 453 | DO jk = 2, jpkm1 |
|---|
| 454 | !CDIR NOVERRCHK |
|---|
| 455 | DO jj = 2, jpjm1 |
|---|
| 456 | !CDIR NOVERRCHK |
|---|
| 457 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 458 | ztx2 = utau(ji-1,jj ) + utau(ji,jj) |
|---|
| 459 | zty2 = vtau(ji ,jj-1) + vtau(ji,jj) |
|---|
| 460 | ztau = 0.5_wp * SQRT( ztx2 * ztx2 + zty2 * zty2 ) * tmask(ji,jj,1) ! module of the mean stress |
|---|
| 461 | zdif = taum(ji,jj) - ztau ! mean of modulus - modulus of the mean |
|---|
| 462 | zdif = rhftau_scl * MAX( 0._wp, zdif + rhftau_add ) ! apply some modifications... |
|---|
| 463 | en(ji,jj,jk) = en(ji,jj,jk) + zbbrau * zdif * EXP( -fsdepw(ji,jj,jk) / htau(ji,jj) ) & |
|---|
| 464 | & * MAX(0.,1._wp - 2.*fr_i(ji,jj) ) * wmask(ji,jj,jk) * tmask(ji,jj,1) |
|---|
| 465 | END DO |
|---|
| 466 | END DO |
|---|
| 467 | END DO |
|---|
| 468 | ENDIF |
|---|
| 469 | CALL lbc_lnk( en, 'W', 1. ) ! Lateral boundary conditions (sign unchanged) |
|---|
| 470 | ! |
|---|
| 471 | CALL wrk_dealloc( jpi,jpj, imlc ) ! integer |
|---|
| 472 | CALL wrk_dealloc( jpi,jpj, zhlc ) |
|---|
| 473 | CALL wrk_dealloc( jpi,jpj,jpk, zpelc, zdiag, zd_up, zd_lw ) |
|---|
| 474 | ! |
|---|
| 475 | IF( nn_timing == 1 ) CALL timing_stop('tke_tke') |
|---|
| 476 | ! |
|---|
| 477 | END SUBROUTINE tke_tke |
|---|
| 478 | |
|---|
| 479 | |
|---|
| 480 | SUBROUTINE tke_avn |
|---|
| 481 | !!---------------------------------------------------------------------- |
|---|
| 482 | !! *** ROUTINE tke_avn *** |
|---|
| 483 | !! |
|---|
| 484 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
|---|
| 485 | !! |
|---|
| 486 | !! ** Method : At this stage, en, the now TKE, is known (computed in |
|---|
| 487 | !! the tke_tke routine). First, the now mixing lenth is |
|---|
| 488 | !! computed from en and the strafification (N^2), then the mixings |
|---|
| 489 | !! coefficients are computed. |
|---|
| 490 | !! - Mixing length : a first evaluation of the mixing lengh |
|---|
| 491 | !! scales is: |
|---|
| 492 | !! mxl = sqrt(2*en) / N |
|---|
| 493 | !! where N is the brunt-vaisala frequency, with a minimum value set |
|---|
| 494 | !! to rmxl_min (rn_mxl0) in the interior (surface) ocean. |
|---|
| 495 | !! The mixing and dissipative length scale are bound as follow : |
|---|
| 496 | !! nn_mxl=0 : mxl bounded by the distance to surface and bottom. |
|---|
| 497 | !! zmxld = zmxlm = mxl |
|---|
| 498 | !! nn_mxl=1 : mxl bounded by the e3w and zmxld = zmxlm = mxl |
|---|
| 499 | !! nn_mxl=2 : mxl bounded such that the vertical derivative of mxl is |
|---|
| 500 | !! less than 1 (|d/dz(mxl)|<1) and zmxld = zmxlm = mxl |
|---|
| 501 | !! nn_mxl=3 : mxl is bounded from the surface to the bottom usings |
|---|
| 502 | !! |d/dz(xml)|<1 to obtain lup, and from the bottom to |
|---|
| 503 | !! the surface to obtain ldown. the resulting length |
|---|
| 504 | !! scales are: |
|---|
| 505 | !! zmxld = sqrt( lup * ldown ) |
|---|
| 506 | !! zmxlm = min ( lup , ldown ) |
|---|
| 507 | !! - Vertical eddy viscosity and diffusivity: |
|---|
| 508 | !! avm = max( avtb, rn_ediff * zmxlm * en^1/2 ) |
|---|
| 509 | !! avt = max( avmb, pdlr * avm ) |
|---|
| 510 | !! with pdlr=1 if nn_pdl=0, pdlr=1/pdl=F(Ri) otherwise. |
|---|
| 511 | !! |
|---|
| 512 | !! ** Action : - avt : now vertical eddy diffusivity (w-point) |
|---|
| 513 | !! - avmu, avmv : now vertical eddy viscosity at uw- and vw-points |
|---|
| 514 | !!---------------------------------------------------------------------- |
|---|
| 515 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 516 | REAL(wp) :: zrn2, zraug, zcoef, zav ! local scalars |
|---|
| 517 | REAL(wp) :: zdku, zpdlr, zri, zsqen ! - - |
|---|
| 518 | REAL(wp) :: zdkv, zemxl, zemlm, zemlp ! - - |
|---|
| 519 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zmpdl, zmxlm, zmxld |
|---|
| 520 | !!-------------------------------------------------------------------- |
|---|
| 521 | ! |
|---|
| 522 | IF( nn_timing == 1 ) CALL timing_start('tke_avn') |
|---|
| 523 | |
|---|
| 524 | CALL wrk_alloc( jpi,jpj,jpk, zmpdl, zmxlm, zmxld ) |
|---|
| 525 | |
|---|
| 526 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 527 | ! ! Mixing length |
|---|
| 528 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 529 | ! |
|---|
| 530 | ! !* Buoyancy length scale: l=sqrt(2*e/n**2) |
|---|
| 531 | ! |
|---|
| 532 | ! initialisation of interior minimum value (avoid a 2d loop with mikt) |
|---|
| 533 | zmxlm(:,:,:) = rmxl_min |
|---|
| 534 | zmxld(:,:,:) = rmxl_min |
|---|
| 535 | ! |
|---|
| 536 | IF( ln_mxl0 ) THEN ! surface mixing length = F(stress) : l=vkarmn*2.e5*taum/(rau0*g) |
|---|
| 537 | DO jj = 2, jpjm1 |
|---|
| 538 | DO ji = fs_2, fs_jpim1 |
|---|
| 539 | zraug = vkarmn * 2.e5_wp / ( rau0 * grav ) |
|---|
| 540 | zmxlm(ji,jj,1) = MAX( rn_mxl0, zraug * taum(ji,jj) * tmask(ji,jj,1) ) |
|---|
| 541 | END DO |
|---|
| 542 | END DO |
|---|
| 543 | ELSE |
|---|
| 544 | zmxlm(:,:,1) = rn_mxl0 |
|---|
| 545 | ENDIF |
|---|
| 546 | ! |
|---|
| 547 | !CDIR NOVERRCHK |
|---|
| 548 | DO jk = 2, jpkm1 ! interior value : l=sqrt(2*e/n^2) |
|---|
| 549 | !CDIR NOVERRCHK |
|---|
| 550 | DO jj = 2, jpjm1 |
|---|
| 551 | !CDIR NOVERRCHK |
|---|
| 552 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 553 | zrn2 = MAX( rn2(ji,jj,jk), rsmall ) |
|---|
| 554 | zmxlm(ji,jj,jk) = MAX( rmxl_min, SQRT( 2._wp * en(ji,jj,jk) / zrn2 ) ) |
|---|
| 555 | END DO |
|---|
| 556 | END DO |
|---|
| 557 | END DO |
|---|
| 558 | ! |
|---|
| 559 | ! !* Physical limits for the mixing length |
|---|
| 560 | ! |
|---|
| 561 | zmxld(:,:,1 ) = zmxlm(:,:,1) ! surface set to the minimum value |
|---|
| 562 | zmxld(:,:,jpk) = rmxl_min ! last level set to the minimum value |
|---|
| 563 | ! |
|---|
| 564 | SELECT CASE ( nn_mxl ) |
|---|
| 565 | ! |
|---|
| 566 | ! where wmask = 0 set zmxlm == fse3w |
|---|
| 567 | CASE ( 0 ) ! bounded by the distance to surface and bottom |
|---|
| 568 | DO jk = 2, jpkm1 |
|---|
| 569 | DO jj = 2, jpjm1 |
|---|
| 570 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 571 | zemxl = MIN( fsdepw(ji,jj,jk) - fsdepw(ji,jj,mikt(ji,jj)), zmxlm(ji,jj,jk), & |
|---|
| 572 | & fsdepw(ji,jj,mbkt(ji,jj)+1) - fsdepw(ji,jj,jk) ) |
|---|
| 573 | ! wmask prevent zmxlm = 0 if jk = mikt(ji,jj) |
|---|
| 574 | zmxlm(ji,jj,jk) = zemxl * wmask(ji,jj,jk) + MIN(zmxlm(ji,jj,jk),fse3w(ji,jj,jk)) * (1 - wmask(ji,jj,jk)) |
|---|
| 575 | zmxld(ji,jj,jk) = zemxl * wmask(ji,jj,jk) + MIN(zmxlm(ji,jj,jk),fse3w(ji,jj,jk)) * (1 - wmask(ji,jj,jk)) |
|---|
| 576 | END DO |
|---|
| 577 | END DO |
|---|
| 578 | END DO |
|---|
| 579 | ! |
|---|
| 580 | CASE ( 1 ) ! bounded by the vertical scale factor |
|---|
| 581 | DO jk = 2, jpkm1 |
|---|
| 582 | DO jj = 2, jpjm1 |
|---|
| 583 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 584 | zemxl = MIN( fse3w(ji,jj,jk), zmxlm(ji,jj,jk) ) |
|---|
| 585 | zmxlm(ji,jj,jk) = zemxl |
|---|
| 586 | zmxld(ji,jj,jk) = zemxl |
|---|
| 587 | END DO |
|---|
| 588 | END DO |
|---|
| 589 | END DO |
|---|
| 590 | ! |
|---|
| 591 | CASE ( 2 ) ! |dk[xml]| bounded by e3t : |
|---|
| 592 | DO jk = 2, jpkm1 ! from the surface to the bottom : |
|---|
| 593 | DO jj = 2, jpjm1 |
|---|
| 594 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 595 | zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk-1) + fse3t(ji,jj,jk-1), zmxlm(ji,jj,jk) ) |
|---|
| 596 | END DO |
|---|
| 597 | END DO |
|---|
| 598 | END DO |
|---|
| 599 | DO jk = jpkm1, 2, -1 ! from the bottom to the surface : |
|---|
| 600 | DO jj = 2, jpjm1 |
|---|
| 601 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 602 | zemxl = MIN( zmxlm(ji,jj,jk+1) + fse3t(ji,jj,jk+1), zmxlm(ji,jj,jk) ) |
|---|
| 603 | zmxlm(ji,jj,jk) = zemxl |
|---|
| 604 | zmxld(ji,jj,jk) = zemxl |
|---|
| 605 | END DO |
|---|
| 606 | END DO |
|---|
| 607 | END DO |
|---|
| 608 | ! |
|---|
| 609 | CASE ( 3 ) ! lup and ldown, |dk[xml]| bounded by e3t : |
|---|
| 610 | DO jk = 2, jpkm1 ! from the surface to the bottom : lup |
|---|
| 611 | DO jj = 2, jpjm1 |
|---|
| 612 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 613 | zmxld(ji,jj,jk) = MIN( zmxld(ji,jj,jk-1) + fse3t(ji,jj,jk-1), zmxlm(ji,jj,jk) ) |
|---|
| 614 | END DO |
|---|
| 615 | END DO |
|---|
| 616 | END DO |
|---|
| 617 | DO jk = jpkm1, 2, -1 ! from the bottom to the surface : ldown |
|---|
| 618 | DO jj = 2, jpjm1 |
|---|
| 619 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 620 | zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk+1) + fse3t(ji,jj,jk+1), zmxlm(ji,jj,jk) ) |
|---|
| 621 | END DO |
|---|
| 622 | END DO |
|---|
| 623 | END DO |
|---|
| 624 | !CDIR NOVERRCHK |
|---|
| 625 | DO jk = 2, jpkm1 |
|---|
| 626 | !CDIR NOVERRCHK |
|---|
| 627 | DO jj = 2, jpjm1 |
|---|
| 628 | !CDIR NOVERRCHK |
|---|
| 629 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 630 | zemlm = MIN ( zmxld(ji,jj,jk), zmxlm(ji,jj,jk) ) |
|---|
| 631 | zemlp = SQRT( zmxld(ji,jj,jk) * zmxlm(ji,jj,jk) ) |
|---|
| 632 | zmxlm(ji,jj,jk) = zemlm |
|---|
| 633 | zmxld(ji,jj,jk) = zemlp |
|---|
| 634 | END DO |
|---|
| 635 | END DO |
|---|
| 636 | END DO |
|---|
| 637 | ! |
|---|
| 638 | END SELECT |
|---|
| 639 | ! |
|---|
| 640 | # if defined key_c1d |
|---|
| 641 | e_dis(:,:,:) = zmxld(:,:,:) ! c1d configuration : save mixing and dissipation turbulent length scales |
|---|
| 642 | e_mix(:,:,:) = zmxlm(:,:,:) |
|---|
| 643 | # endif |
|---|
| 644 | |
|---|
| 645 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 646 | ! ! Vertical eddy viscosity and diffusivity (avmu, avmv, avt) |
|---|
| 647 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 648 | !CDIR NOVERRCHK |
|---|
| 649 | DO jk = 1, jpkm1 !* vertical eddy viscosity & diffivity at w-points |
|---|
| 650 | !CDIR NOVERRCHK |
|---|
| 651 | DO jj = 2, jpjm1 |
|---|
| 652 | !CDIR NOVERRCHK |
|---|
| 653 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 654 | zsqen = SQRT( en(ji,jj,jk) ) |
|---|
| 655 | zav = rn_ediff * zmxlm(ji,jj,jk) * zsqen |
|---|
| 656 | avm (ji,jj,jk) = MAX( zav, avmb(jk) ) * wmask(ji,jj,jk) |
|---|
| 657 | avt (ji,jj,jk) = MAX( zav, avtb_2d(ji,jj) * avtb(jk) ) * wmask(ji,jj,jk) |
|---|
| 658 | dissl(ji,jj,jk) = zsqen / zmxld(ji,jj,jk) |
|---|
| 659 | END DO |
|---|
| 660 | END DO |
|---|
| 661 | END DO |
|---|
| 662 | |
|---|
| 663 | #if defined key_agrif |
|---|
| 664 | CALL Agrif_avm |
|---|
| 665 | #endif |
|---|
| 666 | CALL lbc_lnk( avm, 'W', 1. ) ! Lateral boundary conditions (sign unchanged) |
|---|
| 667 | ! |
|---|
| 668 | DO jk = 2, jpkm1 !* vertical eddy viscosity at wu- and wv-points |
|---|
| 669 | DO jj = 2, jpjm1 |
|---|
| 670 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 671 | avmu(ji,jj,jk) = 0.5 * ( avm(ji,jj,jk) + avm(ji+1,jj ,jk) ) * wumask(ji,jj,jk) |
|---|
| 672 | avmv(ji,jj,jk) = 0.5 * ( avm(ji,jj,jk) + avm(ji ,jj+1,jk) ) * wvmask(ji,jj,jk) |
|---|
| 673 | END DO |
|---|
| 674 | END DO |
|---|
| 675 | END DO |
|---|
| 676 | CALL lbc_lnk( avmu, 'U', 1. ) ; CALL lbc_lnk( avmv, 'V', 1. ) ! Lateral boundary conditions |
|---|
| 677 | ! |
|---|
| 678 | IF( nn_pdl == 1 ) THEN !* Prandtl number case: update avt |
|---|
| 679 | DO jk = 2, jpkm1 |
|---|
| 680 | DO jj = 2, jpjm1 |
|---|
| 681 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 682 | zcoef = avm(ji,jj,jk) * 2._wp * fse3w(ji,jj,jk) * fse3w(ji,jj,jk) |
|---|
| 683 | ! ! shear |
|---|
| 684 | zdku = avmu(ji-1,jj,jk) * ( un(ji-1,jj,jk-1) - un(ji-1,jj,jk) ) * ( ub(ji-1,jj,jk-1) - ub(ji-1,jj,jk) ) & |
|---|
| 685 | & + avmu(ji ,jj,jk) * ( un(ji ,jj,jk-1) - un(ji ,jj,jk) ) * ( ub(ji ,jj,jk-1) - ub(ji ,jj,jk) ) |
|---|
| 686 | zdkv = avmv(ji,jj-1,jk) * ( vn(ji,jj-1,jk-1) - vn(ji,jj-1,jk) ) * ( vb(ji,jj-1,jk-1) - vb(ji,jj-1,jk) ) & |
|---|
| 687 | & + avmv(ji,jj ,jk) * ( vn(ji,jj ,jk-1) - vn(ji,jj ,jk) ) * ( vb(ji,jj ,jk-1) - vb(ji,jj ,jk) ) |
|---|
| 688 | ! ! local Richardson number |
|---|
| 689 | zri = MAX( rn2b(ji,jj,jk), 0._wp ) * zcoef / (zdku + zdkv + rn_bshear ) |
|---|
| 690 | zpdlr = MAX( 0.1_wp, 0.2 / MAX( 0.2 , zri ) ) |
|---|
| 691 | !!gm and even better with the use of the "true" ri_crit=0.22222... (this change the results!) |
|---|
| 692 | !!gm zpdlr = MAX( 0.1_wp, ri_crit / MAX( ri_crit , zri ) ) |
|---|
| 693 | avt(ji,jj,jk) = MAX( zpdlr * avt(ji,jj,jk), avtb_2d(ji,jj) * avtb(jk) ) * wmask(ji,jj,jk) |
|---|
| 694 | # if defined key_c1d |
|---|
| 695 | e_pdl(ji,jj,jk) = zpdlr * wmask(ji,jj,jk) ! c1d configuration : save masked Prandlt number |
|---|
| 696 | e_ric(ji,jj,jk) = zri * wmask(ji,jj,jk) ! c1d config. : save Ri |
|---|
| 697 | # endif |
|---|
| 698 | END DO |
|---|
| 699 | END DO |
|---|
| 700 | END DO |
|---|
| 701 | ENDIF |
|---|
| 702 | CALL lbc_lnk( avt, 'W', 1. ) ! Lateral boundary conditions on avt (sign unchanged) |
|---|
| 703 | |
|---|
| 704 | IF(ln_ctl) THEN |
|---|
| 705 | CALL prt_ctl( tab3d_1=en , clinfo1=' tke - e: ', tab3d_2=avt, clinfo2=' t: ', ovlap=1, kdim=jpk) |
|---|
| 706 | CALL prt_ctl( tab3d_1=avmu, clinfo1=' tke - u: ', mask1=umask, & |
|---|
| 707 | & tab3d_2=avmv, clinfo2= ' v: ', mask2=vmask, ovlap=1, kdim=jpk ) |
|---|
| 708 | ENDIF |
|---|
| 709 | ! |
|---|
| 710 | CALL wrk_dealloc( jpi,jpj,jpk, zmpdl, zmxlm, zmxld ) |
|---|
| 711 | ! |
|---|
| 712 | IF( nn_timing == 1 ) CALL timing_stop('tke_avn') |
|---|
| 713 | ! |
|---|
| 714 | END SUBROUTINE tke_avn |
|---|
| 715 | |
|---|
| 716 | |
|---|
| 717 | SUBROUTINE zdf_tke_init |
|---|
| 718 | !!---------------------------------------------------------------------- |
|---|
| 719 | !! *** ROUTINE zdf_tke_init *** |
|---|
| 720 | !! |
|---|
| 721 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
|---|
| 722 | !! viscosity when using a tke turbulent closure scheme |
|---|
| 723 | !! |
|---|
| 724 | !! ** Method : Read the namzdf_tke namelist and check the parameters |
|---|
| 725 | !! called at the first timestep (nit000) |
|---|
| 726 | !! |
|---|
| 727 | !! ** input : Namlist namzdf_tke |
|---|
| 728 | !! |
|---|
| 729 | !! ** Action : Increase by 1 the nstop flag is setting problem encounter |
|---|
| 730 | !!---------------------------------------------------------------------- |
|---|
| 731 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 732 | INTEGER :: ios, ierr |
|---|
| 733 | !! |
|---|
| 734 | NAMELIST/namzdf_tke/ rn_ediff, rn_ediss , rn_ebb , rn_emin , & |
|---|
| 735 | & rn_emin0, rn_bshear, nn_mxl , ln_mxl0 , & |
|---|
| 736 | & rn_mxl0 , nn_pdl , ln_lc , rn_lc , & |
|---|
| 737 | & nn_etau , nn_htau , rn_efr |
|---|
| 738 | !!---------------------------------------------------------------------- |
|---|
| 739 | ! |
|---|
| 740 | REWIND( numnam_ref ) ! Namelist namzdf_tke in reference namelist : Turbulent Kinetic Energy |
|---|
| 741 | READ ( numnam_ref, namzdf_tke, IOSTAT = ios, ERR = 901) |
|---|
| 742 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_tke in reference namelist', lwp ) |
|---|
| 743 | |
|---|
| 744 | REWIND( numnam_cfg ) ! Namelist namzdf_tke in configuration namelist : Turbulent Kinetic Energy |
|---|
| 745 | READ ( numnam_cfg, namzdf_tke, IOSTAT = ios, ERR = 902 ) |
|---|
| 746 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_tke in configuration namelist', lwp ) |
|---|
| 747 | IF(lwm) WRITE ( numond, namzdf_tke ) |
|---|
| 748 | ! |
|---|
| 749 | ri_cri = 2._wp / ( 2._wp + rn_ediss / rn_ediff ) ! resulting critical Richardson number |
|---|
| 750 | # if defined key_zdftmx_new |
|---|
| 751 | ! key_zdftmx_new: New internal wave-driven param: specified value of rn_emin & rmxl_min are used |
|---|
| 752 | rn_emin = 1.e-10_wp |
|---|
| 753 | rmxl_min = 1.e-03_wp |
|---|
| 754 | IF(lwp) THEN ! Control print |
|---|
| 755 | WRITE(numout,*) |
|---|
| 756 | WRITE(numout,*) 'zdf_tke_init : New tidal mixing case: force rn_emin = 1.e-10 and rmxl_min = 1.e-3 ' |
|---|
| 757 | WRITE(numout,*) '~~~~~~~~~~~~' |
|---|
| 758 | ENDIF |
|---|
| 759 | # else |
|---|
| 760 | rmxl_min = 1.e-6_wp / ( rn_ediff * SQRT( rn_emin ) ) ! resulting minimum length to recover molecular viscosity |
|---|
| 761 | # endif |
|---|
| 762 | ! |
|---|
| 763 | IF(lwp) THEN !* Control print |
|---|
| 764 | WRITE(numout,*) |
|---|
| 765 | WRITE(numout,*) 'zdf_tke_init : tke turbulent closure scheme - initialisation' |
|---|
| 766 | WRITE(numout,*) '~~~~~~~~~~~~' |
|---|
| 767 | WRITE(numout,*) ' Namelist namzdf_tke : set tke mixing parameters' |
|---|
| 768 | WRITE(numout,*) ' coef. to compute avt rn_ediff = ', rn_ediff |
|---|
| 769 | WRITE(numout,*) ' Kolmogoroff dissipation coef. rn_ediss = ', rn_ediss |
|---|
| 770 | WRITE(numout,*) ' tke surface input coef. rn_ebb = ', rn_ebb |
|---|
| 771 | WRITE(numout,*) ' minimum value of tke rn_emin = ', rn_emin |
|---|
| 772 | WRITE(numout,*) ' surface minimum value of tke rn_emin0 = ', rn_emin0 |
|---|
| 773 | WRITE(numout,*) ' background shear (>0) rn_bshear = ', rn_bshear |
|---|
| 774 | WRITE(numout,*) ' mixing length type nn_mxl = ', nn_mxl |
|---|
| 775 | WRITE(numout,*) ' prandl number flag nn_pdl = ', nn_pdl |
|---|
| 776 | WRITE(numout,*) ' surface mixing length = F(stress) or not ln_mxl0 = ', ln_mxl0 |
|---|
| 777 | WRITE(numout,*) ' surface mixing length minimum value rn_mxl0 = ', rn_mxl0 |
|---|
| 778 | WRITE(numout,*) ' flag to take into acc. Langmuir circ. ln_lc = ', ln_lc |
|---|
| 779 | WRITE(numout,*) ' coef to compute verticla velocity of LC rn_lc = ', rn_lc |
|---|
| 780 | WRITE(numout,*) ' test param. to add tke induced by wind nn_etau = ', nn_etau |
|---|
| 781 | WRITE(numout,*) ' flag for computation of exp. tke profile nn_htau = ', nn_htau |
|---|
| 782 | WRITE(numout,*) ' fraction of en which pene. the thermocline rn_efr = ', rn_efr |
|---|
| 783 | WRITE(numout,*) |
|---|
| 784 | WRITE(numout,*) ' critical Richardson nb with your parameters ri_cri = ', ri_cri |
|---|
| 785 | ENDIF |
|---|
| 786 | ! |
|---|
| 787 | ! ! allocate tke arrays |
|---|
| 788 | IF( zdf_tke_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_tke_init : unable to allocate arrays' ) |
|---|
| 789 | ! |
|---|
| 790 | ! !* Check of some namelist values |
|---|
| 791 | IF( nn_mxl < 0 .OR. nn_mxl > 3 ) CALL ctl_stop( 'bad flag: nn_mxl is 0, 1 or 2 ' ) |
|---|
| 792 | IF( nn_pdl < 0 .OR. nn_pdl > 1 ) CALL ctl_stop( 'bad flag: nn_pdl is 0 or 1 ' ) |
|---|
| 793 | IF( nn_htau < 0 .OR. nn_htau > 1 ) CALL ctl_stop( 'bad flag: nn_htau is 0, 1 or 2 ' ) |
|---|
| 794 | IF( nn_etau == 3 .AND. .NOT. ln_cpl ) CALL ctl_stop( 'nn_etau == 3 : HF taum only known in coupled mode' ) |
|---|
| 795 | |
|---|
| 796 | IF( ln_mxl0 ) THEN |
|---|
| 797 | IF(lwp) WRITE(numout,*) ' use a surface mixing length = F(stress) : set rn_mxl0 = rmxl_min' |
|---|
| 798 | rn_mxl0 = rmxl_min |
|---|
| 799 | ENDIF |
|---|
| 800 | |
|---|
| 801 | IF( nn_etau == 2 ) THEN |
|---|
| 802 | ierr = zdf_mxl_alloc() |
|---|
| 803 | nmln(:,:) = nlb10 ! Initialization of nmln |
|---|
| 804 | ENDIF |
|---|
| 805 | |
|---|
| 806 | ! !* depth of penetration of surface tke |
|---|
| 807 | IF( nn_etau /= 0 ) THEN |
|---|
| 808 | SELECT CASE( nn_htau ) ! Choice of the depth of penetration |
|---|
| 809 | CASE( 0 ) ! constant depth penetration (here 10 meters) |
|---|
| 810 | htau(:,:) = 10._wp |
|---|
| 811 | CASE( 1 ) ! F(latitude) : 0.5m to 30m poleward of 40 degrees |
|---|
| 812 | htau(:,:) = MAX( 0.5_wp, MIN( 30._wp, 45._wp* ABS( SIN( rpi/180._wp * gphit(:,:) ) ) ) ) |
|---|
| 813 | END SELECT |
|---|
| 814 | ENDIF |
|---|
| 815 | ! !* set vertical eddy coef. to the background value |
|---|
| 816 | DO jk = 1, jpk |
|---|
| 817 | avt (:,:,jk) = avtb(jk) * wmask (:,:,jk) |
|---|
| 818 | avm (:,:,jk) = avmb(jk) * wmask (:,:,jk) |
|---|
| 819 | avmu(:,:,jk) = avmb(jk) * wumask(:,:,jk) |
|---|
| 820 | avmv(:,:,jk) = avmb(jk) * wvmask(:,:,jk) |
|---|
| 821 | END DO |
|---|
| 822 | dissl(:,:,:) = 1.e-12_wp |
|---|
| 823 | ! |
|---|
| 824 | CALL tke_rst( nit000, 'READ' ) !* read or initialize all required files |
|---|
| 825 | ! |
|---|
| 826 | END SUBROUTINE zdf_tke_init |
|---|
| 827 | |
|---|
| 828 | |
|---|
| 829 | SUBROUTINE tke_rst( kt, cdrw ) |
|---|
| 830 | !!--------------------------------------------------------------------- |
|---|
| 831 | !! *** ROUTINE tke_rst *** |
|---|
| 832 | !! |
|---|
| 833 | !! ** Purpose : Read or write TKE file (en) in restart file |
|---|
| 834 | !! |
|---|
| 835 | !! ** Method : use of IOM library |
|---|
| 836 | !! if the restart does not contain TKE, en is either |
|---|
| 837 | !! set to rn_emin or recomputed |
|---|
| 838 | !!---------------------------------------------------------------------- |
|---|
| 839 | INTEGER , INTENT(in) :: kt ! ocean time-step |
|---|
| 840 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
|---|
| 841 | ! |
|---|
| 842 | INTEGER :: jit, jk ! dummy loop indices |
|---|
| 843 | INTEGER :: id1, id2, id3, id4, id5, id6 ! local integers |
|---|
| 844 | !!---------------------------------------------------------------------- |
|---|
| 845 | ! |
|---|
| 846 | IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialise |
|---|
| 847 | ! ! --------------- |
|---|
| 848 | IF( ln_rstart ) THEN !* Read the restart file |
|---|
| 849 | id1 = iom_varid( numror, 'en' , ldstop = .FALSE. ) |
|---|
| 850 | id2 = iom_varid( numror, 'avt' , ldstop = .FALSE. ) |
|---|
| 851 | id3 = iom_varid( numror, 'avm' , ldstop = .FALSE. ) |
|---|
| 852 | id4 = iom_varid( numror, 'avmu' , ldstop = .FALSE. ) |
|---|
| 853 | id5 = iom_varid( numror, 'avmv' , ldstop = .FALSE. ) |
|---|
| 854 | id6 = iom_varid( numror, 'dissl', ldstop = .FALSE. ) |
|---|
| 855 | ! |
|---|
| 856 | IF( id1 > 0 ) THEN ! 'en' exists |
|---|
| 857 | CALL iom_get( numror, jpdom_autoglo, 'en', en ) |
|---|
| 858 | IF( MIN( id2, id3, id4, id5, id6 ) > 0 ) THEN ! all required arrays exist |
|---|
| 859 | CALL iom_get( numror, jpdom_autoglo, 'avt' , avt ) |
|---|
| 860 | CALL iom_get( numror, jpdom_autoglo, 'avm' , avm ) |
|---|
| 861 | CALL iom_get( numror, jpdom_autoglo, 'avmu' , avmu ) |
|---|
| 862 | CALL iom_get( numror, jpdom_autoglo, 'avmv' , avmv ) |
|---|
| 863 | CALL iom_get( numror, jpdom_autoglo, 'dissl', dissl ) |
|---|
| 864 | ELSE ! one at least array is missing |
|---|
| 865 | CALL tke_avn ! compute avt, avm, avmu, avmv and dissl (approximation) |
|---|
| 866 | ENDIF |
|---|
| 867 | ELSE ! No TKE array found: initialisation |
|---|
| 868 | IF(lwp) WRITE(numout,*) ' ===>>>> : previous run without tke scheme, en computed by iterative loop' |
|---|
| 869 | en (:,:,:) = rn_emin * tmask(:,:,:) |
|---|
| 870 | CALL tke_avn ! recompute avt, avm, avmu, avmv and dissl (approximation) |
|---|
| 871 | ! |
|---|
| 872 | avt_k (:,:,:) = avt (:,:,:) |
|---|
| 873 | avm_k (:,:,:) = avm (:,:,:) |
|---|
| 874 | avmu_k(:,:,:) = avmu(:,:,:) |
|---|
| 875 | avmv_k(:,:,:) = avmv(:,:,:) |
|---|
| 876 | ! |
|---|
| 877 | DO jit = nit000 + 1, nit000 + 10 ; CALL zdf_tke( jit ) ; END DO |
|---|
| 878 | ENDIF |
|---|
| 879 | ELSE !* Start from rest |
|---|
| 880 | en(:,:,:) = rn_emin * tmask(:,:,:) |
|---|
| 881 | DO jk = 1, jpk ! set the Kz to the background value |
|---|
| 882 | avt (:,:,jk) = avtb(jk) * wmask (:,:,jk) |
|---|
| 883 | avm (:,:,jk) = avmb(jk) * wmask (:,:,jk) |
|---|
| 884 | avmu(:,:,jk) = avmb(jk) * wumask(:,:,jk) |
|---|
| 885 | avmv(:,:,jk) = avmb(jk) * wvmask(:,:,jk) |
|---|
| 886 | END DO |
|---|
| 887 | ENDIF |
|---|
| 888 | ! |
|---|
| 889 | ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file |
|---|
| 890 | ! ! ------------------- |
|---|
| 891 | IF(lwp) WRITE(numout,*) '---- tke-rst ----' |
|---|
| 892 | CALL iom_rstput( kt, nitrst, numrow, 'en' , en ) |
|---|
| 893 | CALL iom_rstput( kt, nitrst, numrow, 'avt' , avt_k ) |
|---|
| 894 | CALL iom_rstput( kt, nitrst, numrow, 'avm' , avm_k ) |
|---|
| 895 | CALL iom_rstput( kt, nitrst, numrow, 'avmu' , avmu_k ) |
|---|
| 896 | CALL iom_rstput( kt, nitrst, numrow, 'avmv' , avmv_k ) |
|---|
| 897 | CALL iom_rstput( kt, nitrst, numrow, 'dissl', dissl ) |
|---|
| 898 | ! |
|---|
| 899 | ENDIF |
|---|
| 900 | ! |
|---|
| 901 | END SUBROUTINE tke_rst |
|---|
| 902 | |
|---|
| 903 | #else |
|---|
| 904 | !!---------------------------------------------------------------------- |
|---|
| 905 | !! Dummy module : NO TKE scheme |
|---|
| 906 | !!---------------------------------------------------------------------- |
|---|
| 907 | LOGICAL, PUBLIC, PARAMETER :: lk_zdftke = .FALSE. !: TKE flag |
|---|
| 908 | CONTAINS |
|---|
| 909 | SUBROUTINE zdf_tke_init ! Dummy routine |
|---|
| 910 | END SUBROUTINE zdf_tke_init |
|---|
| 911 | SUBROUTINE zdf_tke( kt ) ! Dummy routine |
|---|
| 912 | WRITE(*,*) 'zdf_tke: You should not have seen this print! error?', kt |
|---|
| 913 | END SUBROUTINE zdf_tke |
|---|
| 914 | SUBROUTINE tke_rst( kt, cdrw ) |
|---|
| 915 | CHARACTER(len=*) :: cdrw |
|---|
| 916 | WRITE(*,*) 'tke_rst: You should not have seen this print! error?', kt, cdwr |
|---|
| 917 | END SUBROUTINE tke_rst |
|---|
| 918 | #endif |
|---|
| 919 | |
|---|
| 920 | !!====================================================================== |
|---|
| 921 | END MODULE zdftke |
|---|
