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C $Header: /u/gcmpack/MITgcm/pkg/kpp/kpp_calc.F,v 1.39 2007/04/30 13:49:40 jmc Exp $ |
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C $Name: $ |
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|
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#include "KPP_OPTIONS.h" |
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|
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CBOP |
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C !ROUTINE: KPP_CALC |
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|
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C !INTERFACE: ========================================================== |
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subroutine KPP_CALC( |
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I bi, bj, myTime, myThid ) |
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|
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C !DESCRIPTION: \bv |
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C /==========================================================\ |
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C | SUBROUTINE KPP_CALC | |
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C | o Compute all KPP fields defined in KPP.h | |
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C |==========================================================| |
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C | This subroutine serves as an interface between MITGCMUV | |
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C | code and NCOM 1-D routines in kpp_routines.F | |
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C \==========================================================/ |
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IMPLICIT NONE |
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|
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c======================================================================= |
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c |
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c written by : jan morzel, august 11, 1994 |
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c modified by : jan morzel, january 25, 1995 : "dVsq" and 1d code |
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c detlef stammer, august, 1997 : for MIT GCM Classic |
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c d. menemenlis, july, 1998 : for MIT GCM UV |
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c |
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c compute vertical mixing coefficients based on the k-profile |
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c and oceanic planetary boundary layer scheme by large & mcwilliams. |
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c |
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c summary: |
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c - compute interior mixing everywhere: |
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c interior mixing gets computed at all interfaces due to constant |
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c internal wave background activity ("fkpm" and "fkph"), which |
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c is enhanced in places of static instability (local richardson |
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c number < 0). |
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c Additionally, mixing can be enhanced by adding contribution due |
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c to shear instability which is a function of the local richardson |
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c number |
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c - double diffusivity: |
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c interior mixing can be enhanced by double diffusion due to salt |
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c fingering and diffusive convection (ifdef "kmixdd"). |
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c - kpp scheme in the boundary layer: |
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c |
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c a.boundary layer depth: |
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c at every gridpoint the depth of the oceanic boundary layer |
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c ("hbl") gets computed by evaluating bulk richardson numbers. |
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c b.boundary layer mixing: |
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c within the boundary layer, above hbl, vertical mixing is |
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c determined by turbulent surface fluxes, and interior mixing at |
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c the lower boundary, i.e. at hbl. |
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c |
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c this subroutine provides the interface between the MIT GCM UV and the |
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c subroutine "kppmix", where boundary layer depth, vertical |
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c viscosity, vertical diffusivity, and counter gradient term (ghat) |
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c are computed slabwise. |
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c note: subroutine "kppmix" uses m-k-s units. |
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c |
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c time level: |
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c input tracer and velocity profiles are evaluated at time level |
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c tau, surface fluxes come from tau or tau-1. |
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c |
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c grid option: |
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c in this "1-grid" implementation, diffusivity and viscosity |
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c profiles are computed on the "t-grid" (by using velocity shear |
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c profiles averaged from the "u,v-grid" onto the "t-grid"; note, that |
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c the averaging includes zero values on coastal and seafloor grid |
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c points). viscosity on the "u,v-grid" is computed by averaging the |
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c "t-grid" viscosity values onto the "u,v-grid". |
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c |
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c vertical grid: |
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c mixing coefficients get evaluated at the bottom of the lowest |
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c layer, i.e., at depth zw(Nr). these values are only useful when |
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c the model ocean domain does not include the entire ocean down to |
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c the seafloor ("upperocean" setup) and allows flux through the |
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c bottom of the domain. for full-depth runs, these mixing |
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c coefficients are being zeroed out before leaving this subroutine. |
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c |
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c------------------------------------------------------------------------- |
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|
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c global parameters updated by kpp_calc |
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c KPPviscAz - KPP eddy viscosity coefficient (m^2/s) |
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c KPPdiffKzT - KPP diffusion coefficient for temperature (m^2/s) |
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c KPPdiffKzS - KPP diffusion coefficient for salt and tracers (m^2/s) |
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c KPPghat - Nonlocal transport coefficient (s/m^2) |
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c KPPhbl - Boundary layer depth on "t-grid" (m) |
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c KPPfrac - Fraction of short-wave flux penetrating mixing layer |
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|
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c-- KPP_CALC computes vertical viscosity and diffusivity for region |
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c (-2:sNx+3,-2:sNy+3) as required by CALC_DIFFUSIVITY and requires |
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c values of uVel, vVel, surfaceForcingU, surfaceForcingV in the |
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c region (-2:sNx+4,-2:sNy+4). |
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c Hence overlap region needs to be set OLx=4, OLy=4. |
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c \ev |
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|
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C !USES: =============================================================== |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "DYNVARS.h" |
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#include "KPP.h" |
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#include "KPP_PARAMS.h" |
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#include "FFIELDS.h" |
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#include "GRID.h" |
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#include "GAD.h" |
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#ifdef ALLOW_SHELFICE |
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# include "SHELFICE.h" |
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#endif /* ALLOW_SHELFICE */ |
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#ifdef ALLOW_AUTODIFF_TAMC |
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#include "tamc.h" |
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#include "tamc_keys.h" |
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#else /* ALLOW_AUTODIFF_TAMC */ |
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integer ikppkey |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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EXTERNAL DIFFERENT_MULTIPLE |
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LOGICAL DIFFERENT_MULTIPLE |
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|
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C !INPUT PARAMETERS: =================================================== |
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c Routine arguments |
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c bi, bj - array indices on which to apply calculations |
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c myTime - Current time in simulation |
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|
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INTEGER bi, bj |
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INTEGER myThid |
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_RL myTime |
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|
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#ifdef ALLOW_KPP |
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|
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C !LOCAL VARIABLES: ==================================================== |
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c Local constants |
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c minusone, p0, p5, p25, p125, p0625 |
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c imin, imax, jmin, jmax - array computation indices |
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|
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_RL minusone |
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parameter( minusone=-1.0) |
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_RL p0 , p5 , p25 , p125 , p0625 |
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parameter( p0=0.0, p5=0.5, p25=0.25, p125=0.125, p0625=0.0625 ) |
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integer imin ,imax ,jmin ,jmax |
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parameter(imin=2-OLx,imax=sNx+OLx-1,jmin=2-OLy,jmax=sNy+OLy-1) |
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|
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c Local arrays and variables |
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c work? (nx,ny) - horizontal working arrays |
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c ustar (nx,ny) - surface friction velocity (m/s) |
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c bo (nx,ny) - surface turbulent buoyancy forcing (m^2/s^3) |
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c bosol (nx,ny) - surface radiative buoyancy forcing (m^2/s^3) |
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c shsq (nx,ny,Nr) - local velocity shear squared |
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c at interfaces for ri_iwmix (m^2/s^2) |
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c dVsq (nx,ny,Nr) - velocity shear re surface squared |
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c at grid levels for bldepth (m^2/s^2) |
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c dbloc (nx,ny,Nr) - local delta buoyancy at interfaces |
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c for ri_iwmix and bldepth (m/s^2) |
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c Ritop (nx,ny,Nr) - numerator of bulk richardson number |
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c at grid levels for bldepth |
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c vddiff (nx,ny,Nrp2,1)- vertical viscosity on "t-grid" (m^2/s) |
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c vddiff (nx,ny,Nrp2,2)- vert. diff. on next row for salt&tracers (m^2/s) |
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c vddiff (nx,ny,Nrp2,3)- vert. diff. on next row for temperature (m^2/s) |
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c ghat (nx,ny,Nr) - nonlocal transport coefficient (s/m^2) |
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c hbl (nx,ny) - mixing layer depth (m) |
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c kmtj (nx,ny) - maximum number of wet levels in each column |
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c z0 (nx,ny) - Roughness length (m) |
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c zRef (nx,ny) - Reference depth: Hmix * epsilon (m) |
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c uRef (nx,ny) - Reference zonal velocity (m/s) |
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c vRef (nx,ny) - Reference meridional velocity (m/s) |
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|
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integer work1 ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
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_RL worka ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
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_RL work2 ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
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_RL work3 ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
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_RL ustar ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
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_RL bo ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
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_RL bosol ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
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_RL shsq ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
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_RL dVsq ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
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_RL dbloc ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
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_RL Ritop ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
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_RL vddiff( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, 0:Nrp1, mdiff ) |
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_RL ghat ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
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_RL hbl ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
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cph( |
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_RL TTALPHA( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nrp1 ) |
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_RL SSBETA ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nrp1 ) |
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cph) |
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#ifdef KPP_ESTIMATE_UREF |
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_RL z0 ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
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_RL zRef ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
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_RL uRef ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
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_RL vRef ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
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#endif /* KPP_ESTIMATE_UREF */ |
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|
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_RL tempvar2 |
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integer i, j, k, kp1, km1, im1, ip1, jm1, jp1 |
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|
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#ifdef KPP_ESTIMATE_UREF |
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_RL tempvar1, dBdz1, dBdz2, ustarX, ustarY |
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#endif |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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act1 = bi - myBxLo(myThid) |
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max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
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act2 = bj - myByLo(myThid) |
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max2 = myByHi(myThid) - myByLo(myThid) + 1 |
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act3 = myThid - 1 |
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max3 = nTx*nTy |
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act4 = ikey_dynamics - 1 |
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ikppkey = (act1 + 1) + act2*max1 |
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& + act3*max1*max2 |
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& + act4*max1*max2*max3 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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CEOP |
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|
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c Check to see if new vertical mixing coefficient should be computed now? |
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IF ( DIFFERENT_MULTIPLE(kpp_freq,myTime,deltaTClock) |
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1 .OR. myTime .EQ. startTime ) THEN |
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|
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c----------------------------------------------------------------------- |
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c prepare input arrays for subroutine "kppmix" to compute |
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c viscosity and diffusivity and ghat. |
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c All input arrays need to be in m-k-s units. |
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c |
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c note: for the computation of the bulk richardson number in the |
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c "bldepth" subroutine, gradients of velocity and buoyancy are |
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c required at every depth. in the case of very fine vertical grids |
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c (thickness of top layer < 2m), the surface reference depth must |
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c be set to zref=epsilon/2*zgrid(k), and the reference value |
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c of velocity and buoyancy must be computed as vertical average |
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c between the surface and 2*zref. in the case of coarse vertical |
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c grids zref is zgrid(1)/2., and the surface reference value is |
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c simply the surface value at zgrid(1). |
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c----------------------------------------------------------------------- |
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|
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c------------------------------------------------------------------------ |
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c density related quantities |
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c -------------------------- |
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c |
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c work2 - density of surface layer (kg/m^3) |
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c dbloc - local buoyancy gradient at Nr interfaces |
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c g/rho{k+1,k+1} * [ drho{k,k+1}-drho{k+1,k+1} ] (m/s^2) |
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c dbsfc (stored in Ritop to conserve stack memory) |
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c - buoyancy difference with respect to the surface |
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c g * [ drho{1,k}/rho{1,k} - drho{k,k}/rho{k,k} ] (m/s^2) |
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c ttalpha (stored in vddiff(:,:,:,1) to conserve stack memory) |
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c - thermal expansion coefficient without 1/rho factor |
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c d(rho{k,k})/d(T(k)) (kg/m^3/C) |
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c ssbeta (stored in vddiff(:,:,:,2) to conserve stack memory) |
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c - salt expansion coefficient without 1/rho factor |
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c d(rho{k,k})/d(S(k)) (kg/m^3/PSU) |
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c------------------------------------------------------------------------ |
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|
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CALL TIMER_START('STATEKPP [KPP_CALC]', myThid) |
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CALL STATEKPP( |
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O work2, dbloc, Ritop, |
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O TTALPHA, SSBETA, |
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I ikppkey, bi, bj, myThid ) |
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CALL TIMER_STOP ('STATEKPP [KPP_CALC]', myThid) |
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|
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DO k = 1, Nr |
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DO j = 1-OLy, sNy+OLy |
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DO i = 1-OLx, sNx+OLx |
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ghat(i,j,k) = dbloc(i,j,k) |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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#ifdef KPP_SMOOTH_DBLOC |
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c horizontally smooth dbloc with a 121 filter |
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c smooth dbloc stored in ghat to save space |
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c dbloc(k) is buoyancy gradientnote between k and k+1 |
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c levels therefore k+1 mask must be used |
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|
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DO k = 1, Nr-1 |
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CALL SMOOTH_HORIZ ( |
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I k+1, bi, bj, |
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U ghat (1-OLx,1-OLy,k), |
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I myThid ) |
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ENDDO |
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|
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#endif /* KPP_SMOOTH_DBLOC */ |
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|
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#ifdef KPP_SMOOTH_DENS |
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c horizontally smooth density related quantities with 121 filters |
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CALL SMOOTH_HORIZ ( |
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I 1, bi, bj, |
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U work2, |
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I myThid ) |
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DO k = 1, Nr |
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CALL SMOOTH_HORIZ ( |
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I k+1, bi, bj, |
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U dbloc (1-OLx,1-OLy,k), |
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I myThid ) |
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CALL SMOOTH_HORIZ ( |
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I k, bi, bj, |
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U Ritop (1-OLx,1-OLy,k), |
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I myThid ) |
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CALL SMOOTH_HORIZ ( |
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I k, bi, bj, |
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U TTALPHA(1-OLx,1-OLy,k), |
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I myThid ) |
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CALL SMOOTH_HORIZ ( |
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I k, bi, bj, |
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U SSBETA(1-OLx,1-OLy,k), |
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I myThid ) |
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ENDDO |
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#endif /* KPP_SMOOTH_DENS */ |
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|
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DO k = 1, Nr |
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km1 = max(1,k-1) |
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DO j = 1-OLy, sNy+OLy |
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DO i = 1-OLx, sNx+OLx |
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|
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c zero out dbloc over land points (so that the convective |
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c part of the interior mixing can be diagnosed) |
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dbloc(i,j,k) = dbloc(i,j,k) * maskC(i,j,k,bi,bj) |
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& * maskC(i,j,km1,bi,bj) |
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ghat(i,j,k) = ghat(i,j,k) * maskC(i,j,k,bi,bj) |
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& * maskC(i,j,km1,bi,bj) |
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Ritop(i,j,k) = Ritop(i,j,k) * maskC(i,j,k,bi,bj) |
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& * maskC(i,j,km1,bi,bj) |
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if(k.eq.nzmax(i,j,bi,bj)) then |
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dbloc(i,j,k) = p0 |
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ghat(i,j,k) = p0 |
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Ritop(i,j,k) = p0 |
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endif |
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|
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c numerator of bulk richardson number on grid levels |
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c note: land and ocean bottom values need to be set to zero |
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c so that the subroutine "bldepth" works correctly |
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Ritop(i,j,k) = (zgrid(1)-zgrid(k)) * Ritop(i,j,k) |
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|
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END DO |
333 |
END DO |
334 |
END DO |
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|
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cph( |
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cph this avoids a single or double recomp./call of statekpp |
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CADJ store work2 = comlev1_kpp, key = ikppkey |
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#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
340 |
CADJ store dbloc, Ritop, ghat = comlev1_kpp, key = ikppkey |
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CADJ store vddiff = comlev1_kpp, key = ikppkey |
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CADJ store TTALPHA, SSBETA = comlev1_kpp, key = ikppkey |
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#endif |
344 |
cph) |
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|
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c------------------------------------------------------------------------ |
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c friction velocity, turbulent and radiative surface buoyancy forcing |
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c ------------------------------------------------------------------- |
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c taux / rho = surfaceForcingU (N/m^2) |
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c tauy / rho = surfaceForcingV (N/m^2) |
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c ustar = sqrt( sqrt( taux^2 + tauy^2 ) / rho ) (m/s) |
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c bo = - g * ( alpha*surfaceForcingT + |
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c beta *surfaceForcingS ) / rho (m^2/s^3) |
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c bosol = - g * alpha * Qsw * drF(1) / rho (m^2/s^3) |
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c------------------------------------------------------------------------ |
356 |
|
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c initialize arrays to zero |
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DO j = 1-OLy, sNy+OLy |
359 |
DO i = 1-OLx, sNx+OLx |
360 |
ustar(i,j) = p0 |
361 |
bo (I,J) = p0 |
362 |
bosol(I,J) = p0 |
363 |
END DO |
364 |
END DO |
365 |
|
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DO j = jmin, jmax |
367 |
jp1 = j + 1 |
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DO i = imin, imax |
369 |
ip1 = i+1 |
370 |
work3(i,j) = |
371 |
& (surfaceForcingU(i,j,bi,bj) + surfaceForcingU(ip1,j,bi,bj)) * |
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& (surfaceForcingU(i,j,bi,bj) + surfaceForcingU(ip1,j,bi,bj)) + |
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& (surfaceForcingV(i,j,bi,bj) + surfaceForcingV(i,jp1,bi,bj)) * |
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& (surfaceForcingV(i,j,bi,bj) + surfaceForcingV(i,jp1,bi,bj)) |
375 |
END DO |
376 |
END DO |
377 |
cph( |
378 |
CADJ store work3 = comlev1_kpp, key = ikppkey |
379 |
cph) |
380 |
DO j = jmin, jmax |
381 |
jp1 = j + 1 |
382 |
DO i = imin, imax |
383 |
ip1 = i+1 |
384 |
|
385 |
if ( work3(i,j) .lt. (phepsi*phepsi*drF(1)*drF(1)) ) then |
386 |
ustar(i,j) = SQRT( phepsi * p5 * drF(1) ) |
387 |
else |
388 |
tempVar2 = SQRT( work3(i,j) ) * p5 |
389 |
ustar(i,j) = SQRT( tempVar2 ) |
390 |
endif |
391 |
|
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END DO |
393 |
END DO |
394 |
|
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CML#ifdef ALLOW_SHELFICE |
396 |
CMLC For the pbl parameterisation to work underneath the ice shelves |
397 |
CMLC it needs to know the surface (ice-ocean) fluxes. However, masking |
398 |
CMLC and indexing problems make this part of the code not work |
399 |
CMLC underneath the ice shelves and the following lines are only here |
400 |
CMLC to remind me that this still needs to be sorted out. |
401 |
CML IF ( useShelfIce ) THEN |
402 |
CML DO j = jmin, jmax |
403 |
CML jp1 = j + 1 |
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CML DO i = imin, imax |
405 |
CML ip1 = i+1 |
406 |
CML k = kTopC(I,J,bi,bj) |
407 |
CML bo(I,J) = - gravity * |
408 |
CML & ( TTALPHA(I,J,K) * ( maskC(I,J,1,bi,bj) |
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CML & * ( surfaceForcingT(i,j,bi,bj) |
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CML & + surfaceForcingTice(i,j,bi,bj) ) |
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CML & + shelficeForcingT(i,j,bi,bj) ) |
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CML & + SSBETA(I,J,K) * ( maskC(I,J,1,bi,bj) |
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CML & * surfaceForcingS(i,j,bi,bj) |
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CML & + shelficeForcingS(i,j,bi,bj) ) ) |
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CML & / work2(I,J) |
416 |
CML |
417 |
CML bosol(I,J) = gravity * TTALPHA(I,J,1) * Qsw(i,j,bi,bj) |
418 |
CML & * maskC(I,J,1,bi,bj) * recip_Cp*recip_rhoConst |
419 |
CML & / work2(I,J) |
420 |
CML |
421 |
CML END DO |
422 |
CML END DO |
423 |
CML ELSE |
424 |
CML#endif /* ALLOW_SHELFICE */ |
425 |
DO j = jmin, jmax |
426 |
jp1 = j + 1 |
427 |
DO i = imin, imax |
428 |
ip1 = i+1 |
429 |
|
430 |
bo(I,J) = - gravity * |
431 |
& ( TTALPHA(I,J,1) * (surfaceForcingT(i,j,bi,bj)+ |
432 |
& surfaceForcingTice(i,j,bi,bj)) + |
433 |
& SSBETA(I,J,1) * surfaceForcingS(i,j,bi,bj) ) |
434 |
& / work2(I,J) |
435 |
|
436 |
bosol(I,J) = gravity * TTALPHA(I,J,1) * Qsw(i,j,bi,bj) * |
437 |
& recip_Cp*recip_rhoConst |
438 |
& / work2(I,J) |
439 |
|
440 |
END DO |
441 |
END DO |
442 |
CML#ifdef ALLOW_SHELFICE |
443 |
CML ENDIF |
444 |
CML#endif /* ALLOW_SHELFICE */ |
445 |
|
446 |
cph( |
447 |
CADJ store ustar = comlev1_kpp, key = ikppkey |
448 |
cph) |
449 |
|
450 |
c------------------------------------------------------------------------ |
451 |
c velocity shear |
452 |
c -------------- |
453 |
c Get velocity shear squared, averaged from "u,v-grid" |
454 |
c onto "t-grid" (in (m/s)**2): |
455 |
c dVsq(k)=(Uref-U(k))**2+(Vref-V(k))**2 at grid levels |
456 |
c shsq(k)=(U(k)-U(k+1))**2+(V(k)-V(k+1))**2 at interfaces |
457 |
c------------------------------------------------------------------------ |
458 |
|
459 |
c initialize arrays to zero |
460 |
DO k = 1, Nr |
461 |
DO j = 1-OLy, sNy+OLy |
462 |
DO i = 1-OLx, sNx+OLx |
463 |
shsq(i,j,k) = p0 |
464 |
dVsq(i,j,k) = p0 |
465 |
END DO |
466 |
END DO |
467 |
END DO |
468 |
|
469 |
c dVsq computation |
470 |
|
471 |
#ifdef KPP_ESTIMATE_UREF |
472 |
|
473 |
c Get rid of vertical resolution dependence of dVsq term by |
474 |
c estimating a surface velocity that is independent of first level |
475 |
c thickness in the model. First determine mixed layer depth hMix. |
476 |
c Second zRef = espilon * hMix. Third determine roughness length |
477 |
c scale z0. Third estimate reference velocity. |
478 |
|
479 |
DO j = jmin, jmax |
480 |
jp1 = j + 1 |
481 |
DO i = imin, imax |
482 |
ip1 = i + 1 |
483 |
|
484 |
c Determine mixed layer depth hMix as the shallowest depth at which |
485 |
c dB/dz exceeds 5.2e-5 s^-2. |
486 |
work1(i,j) = nzmax(i,j,bi,bj) |
487 |
DO k = 1, Nr |
488 |
IF ( k .LT. nzmax(i,j,bi,bj) .AND. |
489 |
& maskC(I,J,k,bi,bj) .GT. 0. .AND. |
490 |
& dbloc(i,j,k) / drC(k+1) .GT. dB_dz ) |
491 |
& work1(i,j) = k |
492 |
END DO |
493 |
|
494 |
c Linearly interpolate to find hMix. |
495 |
k = work1(i,j) |
496 |
IF ( k .EQ. 0 .OR. nzmax(i,j,bi,bj) .EQ. 1 ) THEN |
497 |
zRef(i,j) = p0 |
498 |
ELSEIF ( k .EQ. 1) THEN |
499 |
dBdz2 = dbloc(i,j,1) / drC(2) |
500 |
zRef(i,j) = drF(1) * dB_dz / dBdz2 |
501 |
ELSEIF ( k .LT. nzmax(i,j,bi,bj) ) THEN |
502 |
dBdz1 = dbloc(i,j,k-1) / drC(k ) |
503 |
dBdz2 = dbloc(i,j,k ) / drC(k+1) |
504 |
zRef(i,j) = rF(k) + drF(k) * (dB_dz - dBdz1) / |
505 |
& MAX ( phepsi, dBdz2 - dBdz1 ) |
506 |
ELSE |
507 |
zRef(i,j) = rF(k+1) |
508 |
ENDIF |
509 |
|
510 |
c Compute roughness length scale z0 subject to 0 < z0 |
511 |
tempVar1 = p5 * ( |
512 |
& (uVel(i, j, 1,bi,bj)-uVel(i, j, 2,bi,bj)) * |
513 |
& (uVel(i, j, 1,bi,bj)-uVel(i, j, 2,bi,bj)) + |
514 |
& (uVel(ip1,j, 1,bi,bj)-uVel(ip1,j, 2,bi,bj)) * |
515 |
& (uVel(ip1,j, 1,bi,bj)-uVel(ip1,j, 2,bi,bj)) + |
516 |
& (vVel(i, j, 1,bi,bj)-vVel(i, j, 2,bi,bj)) * |
517 |
& (vVel(i, j, 1,bi,bj)-vVel(i, j, 2,bi,bj)) + |
518 |
& (vVel(i, jp1,1,bi,bj)-vVel(i, jp1,2,bi,bj)) * |
519 |
& (vVel(i, jp1,1,bi,bj)-vVel(i, jp1,2,bi,bj)) ) |
520 |
if ( tempVar1 .lt. (epsln*epsln) ) then |
521 |
tempVar2 = epsln |
522 |
else |
523 |
tempVar2 = SQRT ( tempVar1 ) |
524 |
endif |
525 |
z0(i,j) = rF(2) * |
526 |
& ( rF(3) * LOG ( rF(3) / rF(2) ) / |
527 |
& ( rF(3) - rF(2) ) - |
528 |
& tempVar2 * vonK / |
529 |
& MAX ( ustar(i,j), phepsi ) ) |
530 |
z0(i,j) = MAX ( z0(i,j), phepsi ) |
531 |
|
532 |
c zRef is set to 0.1 * hMix subject to z0 <= zRef <= drF(1) |
533 |
zRef(i,j) = MAX ( epsilon * zRef(i,j), z0(i,j) ) |
534 |
zRef(i,j) = MIN ( zRef(i,j), drF(1) ) |
535 |
|
536 |
c Estimate reference velocity uRef and vRef. |
537 |
uRef(i,j) = p5 * |
538 |
& ( uVel(i,j,1,bi,bj) + uVel(ip1,j,1,bi,bj) ) |
539 |
vRef(i,j) = p5 * |
540 |
& ( vVel(i,j,1,bi,bj) + vVel(i,jp1,1,bi,bj) ) |
541 |
IF ( zRef(i,j) .LT. drF(1) ) THEN |
542 |
ustarX = ( surfaceForcingU(i, j,bi,bj) + |
543 |
& surfaceForcingU(ip1,j,bi,bj) ) * p5 |
544 |
& *recip_drF(1) |
545 |
ustarY = ( surfaceForcingV(i,j, bi,bj) + |
546 |
& surfaceForcingV(i,jp1,bi,bj) ) * p5 |
547 |
& *recip_drF(1) |
548 |
tempVar1 = ustarX * ustarX + ustarY * ustarY |
549 |
if ( tempVar1 .lt. (epsln*epsln) ) then |
550 |
tempVar2 = epsln |
551 |
else |
552 |
tempVar2 = SQRT ( tempVar1 ) |
553 |
endif |
554 |
tempVar2 = ustar(i,j) * |
555 |
& ( LOG ( zRef(i,j) / rF(2) ) + |
556 |
& z0(i,j) / zRef(i,j) - z0(i,j) / rF(2) ) / |
557 |
& vonK / tempVar2 |
558 |
uRef(i,j) = uRef(i,j) + ustarX * tempVar2 |
559 |
vRef(i,j) = vRef(i,j) + ustarY * tempVar2 |
560 |
ENDIF |
561 |
|
562 |
END DO |
563 |
END DO |
564 |
|
565 |
DO k = 1, Nr |
566 |
DO j = jmin, jmax |
567 |
jm1 = j - 1 |
568 |
jp1 = j + 1 |
569 |
DO i = imin, imax |
570 |
im1 = i - 1 |
571 |
ip1 = i + 1 |
572 |
dVsq(i,j,k) = p5 * ( |
573 |
$ (uRef(i,j) - uVel(i, j, k,bi,bj)) * |
574 |
$ (uRef(i,j) - uVel(i, j, k,bi,bj)) + |
575 |
$ (uRef(i,j) - uVel(ip1,j, k,bi,bj)) * |
576 |
$ (uRef(i,j) - uVel(ip1,j, k,bi,bj)) + |
577 |
$ (vRef(i,j) - vVel(i, j, k,bi,bj)) * |
578 |
$ (vRef(i,j) - vVel(i, j, k,bi,bj)) + |
579 |
$ (vRef(i,j) - vVel(i, jp1,k,bi,bj)) * |
580 |
$ (vRef(i,j) - vVel(i, jp1,k,bi,bj)) ) |
581 |
#ifdef KPP_SMOOTH_DVSQ |
582 |
dVsq(i,j,k) = p5 * dVsq(i,j,k) + p125 * ( |
583 |
$ (uRef(i,j) - uVel(i, jm1,k,bi,bj)) * |
584 |
$ (uRef(i,j) - uVel(i, jm1,k,bi,bj)) + |
585 |
$ (uRef(i,j) - uVel(ip1,jm1,k,bi,bj)) * |
586 |
$ (uRef(i,j) - uVel(ip1,jm1,k,bi,bj)) + |
587 |
$ (uRef(i,j) - uVel(i, jp1,k,bi,bj)) * |
588 |
$ (uRef(i,j) - uVel(i, jp1,k,bi,bj)) + |
589 |
$ (uRef(i,j) - uVel(ip1,jp1,k,bi,bj)) * |
590 |
$ (uRef(i,j) - uVel(ip1,jp1,k,bi,bj)) + |
591 |
$ (vRef(i,j) - vVel(im1,j, k,bi,bj)) * |
592 |
$ (vRef(i,j) - vVel(im1,j, k,bi,bj)) + |
593 |
$ (vRef(i,j) - vVel(im1,jp1,k,bi,bj)) * |
594 |
$ (vRef(i,j) - vVel(im1,jp1,k,bi,bj)) + |
595 |
$ (vRef(i,j) - vVel(ip1,j, k,bi,bj)) * |
596 |
$ (vRef(i,j) - vVel(ip1,j, k,bi,bj)) + |
597 |
$ (vRef(i,j) - vVel(ip1,jp1,k,bi,bj)) * |
598 |
$ (vRef(i,j) - vVel(ip1,jp1,k,bi,bj)) ) |
599 |
#endif /* KPP_SMOOTH_DVSQ */ |
600 |
END DO |
601 |
END DO |
602 |
END DO |
603 |
|
604 |
#else /* KPP_ESTIMATE_UREF */ |
605 |
|
606 |
DO k = 1, Nr |
607 |
DO j = jmin, jmax |
608 |
jm1 = j - 1 |
609 |
jp1 = j + 1 |
610 |
DO i = imin, imax |
611 |
im1 = i - 1 |
612 |
ip1 = i + 1 |
613 |
dVsq(i,j,k) = p5 * ( |
614 |
$ (uVel(i, j, 1,bi,bj)-uVel(i, j, k,bi,bj)) * |
615 |
$ (uVel(i, j, 1,bi,bj)-uVel(i, j, k,bi,bj)) + |
616 |
$ (uVel(ip1,j, 1,bi,bj)-uVel(ip1,j, k,bi,bj)) * |
617 |
$ (uVel(ip1,j, 1,bi,bj)-uVel(ip1,j, k,bi,bj)) + |
618 |
$ (vVel(i, j, 1,bi,bj)-vVel(i, j, k,bi,bj)) * |
619 |
$ (vVel(i, j, 1,bi,bj)-vVel(i, j, k,bi,bj)) + |
620 |
$ (vVel(i, jp1,1,bi,bj)-vVel(i, jp1,k,bi,bj)) * |
621 |
$ (vVel(i, jp1,1,bi,bj)-vVel(i, jp1,k,bi,bj)) ) |
622 |
#ifdef KPP_SMOOTH_DVSQ |
623 |
dVsq(i,j,k) = p5 * dVsq(i,j,k) + p125 * ( |
624 |
$ (uVel(i, jm1,1,bi,bj)-uVel(i, jm1,k,bi,bj)) * |
625 |
$ (uVel(i, jm1,1,bi,bj)-uVel(i, jm1,k,bi,bj)) + |
626 |
$ (uVel(ip1,jm1,1,bi,bj)-uVel(ip1,jm1,k,bi,bj)) * |
627 |
$ (uVel(ip1,jm1,1,bi,bj)-uVel(ip1,jm1,k,bi,bj)) + |
628 |
$ (uVel(i, jp1,1,bi,bj)-uVel(i, jp1,k,bi,bj)) * |
629 |
$ (uVel(i, jp1,1,bi,bj)-uVel(i, jp1,k,bi,bj)) + |
630 |
$ (uVel(ip1,jp1,1,bi,bj)-uVel(ip1,jp1,k,bi,bj)) * |
631 |
$ (uVel(ip1,jp1,1,bi,bj)-uVel(ip1,jp1,k,bi,bj)) + |
632 |
$ (vVel(im1,j, 1,bi,bj)-vVel(im1,j, k,bi,bj)) * |
633 |
$ (vVel(im1,j, 1,bi,bj)-vVel(im1,j, k,bi,bj)) + |
634 |
$ (vVel(im1,jp1,1,bi,bj)-vVel(im1,jp1,k,bi,bj)) * |
635 |
$ (vVel(im1,jp1,1,bi,bj)-vVel(im1,jp1,k,bi,bj)) + |
636 |
$ (vVel(ip1,j, 1,bi,bj)-vVel(ip1,j, k,bi,bj)) * |
637 |
$ (vVel(ip1,j, 1,bi,bj)-vVel(ip1,j, k,bi,bj)) + |
638 |
$ (vVel(ip1,jp1,1,bi,bj)-vVel(ip1,jp1,k,bi,bj)) * |
639 |
$ (vVel(ip1,jp1,1,bi,bj)-vVel(ip1,jp1,k,bi,bj)) ) |
640 |
#endif /* KPP_SMOOTH_DVSQ */ |
641 |
END DO |
642 |
END DO |
643 |
END DO |
644 |
|
645 |
#endif /* KPP_ESTIMATE_UREF */ |
646 |
|
647 |
c shsq computation |
648 |
DO k = 1, Nrm1 |
649 |
kp1 = k + 1 |
650 |
DO j = jmin, jmax |
651 |
jm1 = j - 1 |
652 |
jp1 = j + 1 |
653 |
DO i = imin, imax |
654 |
im1 = i - 1 |
655 |
ip1 = i + 1 |
656 |
shsq(i,j,k) = p5 * ( |
657 |
$ (uVel(i, j, k,bi,bj)-uVel(i, j, kp1,bi,bj)) * |
658 |
$ (uVel(i, j, k,bi,bj)-uVel(i, j, kp1,bi,bj)) + |
659 |
$ (uVel(ip1,j, k,bi,bj)-uVel(ip1,j, kp1,bi,bj)) * |
660 |
$ (uVel(ip1,j, k,bi,bj)-uVel(ip1,j, kp1,bi,bj)) + |
661 |
$ (vVel(i, j, k,bi,bj)-vVel(i, j, kp1,bi,bj)) * |
662 |
$ (vVel(i, j, k,bi,bj)-vVel(i, j, kp1,bi,bj)) + |
663 |
$ (vVel(i, jp1,k,bi,bj)-vVel(i, jp1,kp1,bi,bj)) * |
664 |
$ (vVel(i, jp1,k,bi,bj)-vVel(i, jp1,kp1,bi,bj)) ) |
665 |
#ifdef KPP_SMOOTH_SHSQ |
666 |
shsq(i,j,k) = p5 * shsq(i,j,k) + p125 * ( |
667 |
$ (uVel(i, jm1,k,bi,bj)-uVel(i, jm1,kp1,bi,bj)) * |
668 |
$ (uVel(i, jm1,k,bi,bj)-uVel(i, jm1,kp1,bi,bj)) + |
669 |
$ (uVel(ip1,jm1,k,bi,bj)-uVel(ip1,jm1,kp1,bi,bj)) * |
670 |
$ (uVel(ip1,jm1,k,bi,bj)-uVel(ip1,jm1,kp1,bi,bj)) + |
671 |
$ (uVel(i, jp1,k,bi,bj)-uVel(i, jp1,kp1,bi,bj)) * |
672 |
$ (uVel(i, jp1,k,bi,bj)-uVel(i, jp1,kp1,bi,bj)) + |
673 |
$ (uVel(ip1,jp1,k,bi,bj)-uVel(ip1,jp1,kp1,bi,bj)) * |
674 |
$ (uVel(ip1,jp1,k,bi,bj)-uVel(ip1,jp1,kp1,bi,bj)) + |
675 |
$ (vVel(im1,j, k,bi,bj)-vVel(im1,j, kp1,bi,bj)) * |
676 |
$ (vVel(im1,j, k,bi,bj)-vVel(im1,j, kp1,bi,bj)) + |
677 |
$ (vVel(im1,jp1,k,bi,bj)-vVel(im1,jp1,kp1,bi,bj)) * |
678 |
$ (vVel(im1,jp1,k,bi,bj)-vVel(im1,jp1,kp1,bi,bj)) + |
679 |
$ (vVel(ip1,j, k,bi,bj)-vVel(ip1,j, kp1,bi,bj)) * |
680 |
$ (vVel(ip1,j, k,bi,bj)-vVel(ip1,j, kp1,bi,bj)) + |
681 |
$ (vVel(ip1,jp1,k,bi,bj)-vVel(ip1,jp1,kp1,bi,bj)) * |
682 |
$ (vVel(ip1,jp1,k,bi,bj)-vVel(ip1,jp1,kp1,bi,bj)) ) |
683 |
#endif |
684 |
END DO |
685 |
END DO |
686 |
END DO |
687 |
|
688 |
cph( |
689 |
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
690 |
CADJ store dvsq, shsq = comlev1_kpp, key = ikppkey |
691 |
#endif |
692 |
cph) |
693 |
|
694 |
c----------------------------------------------------------------------- |
695 |
c solve for viscosity, diffusivity, ghat, and hbl on "t-grid" |
696 |
c----------------------------------------------------------------------- |
697 |
|
698 |
c precompute background vertical diffusivities, which are needed for |
699 |
c matching diffusivities at bottom of KPP PBL |
700 |
CALL CALC_3D_DIFFUSIVITY( |
701 |
I bi,bj,1-Olx,sNx+OLx,1-Oly,sNy+OLy, |
702 |
I GAD_SALINITY, .FALSE., .FALSE., |
703 |
O KPPdiffKzS(1-Olx,1-Oly,1,bi,bj), |
704 |
I myThid) |
705 |
CALL CALC_3D_DIFFUSIVITY( |
706 |
I bi,bj,1-Olx,sNx+OLx,1-Oly,sNy+OLy, |
707 |
I GAD_TEMPERATURE, .FALSE., .FALSE., |
708 |
O KPPdiffKzT(1-Olx,1-Oly,1,bi,bj), |
709 |
I myThid) |
710 |
|
711 |
DO j = 1-OLy, sNy+OLy |
712 |
DO i = 1-OLx, sNx+OLx |
713 |
work1(i,j) = nzmax(i,j,bi,bj) |
714 |
work2(i,j) = Fcori(i,j,bi,bj) |
715 |
END DO |
716 |
END DO |
717 |
CALL TIMER_START('KPPMIX [KPP_CALC]', myThid) |
718 |
CALL KPPMIX ( |
719 |
I work1, shsq, dVsq, ustar |
720 |
I , maskC(1-Olx,1-Oly,1,bi,bj) |
721 |
I , bo, bosol, dbloc, Ritop, work2 |
722 |
I , KPPdiffKzS(1-Olx,1-Oly,1,bi,bj) |
723 |
I , KPPdiffKzT(1-Olx,1-Oly,1,bi,bj) |
724 |
I , ikppkey |
725 |
O , vddiff |
726 |
U , ghat |
727 |
O , hbl |
728 |
I , mytime, mythid ) |
729 |
CALL TIMER_STOP ('KPPMIX [KPP_CALC]', myThid) |
730 |
|
731 |
c----------------------------------------------------------------------- |
732 |
c zero out land values and transfer to global variables |
733 |
c----------------------------------------------------------------------- |
734 |
|
735 |
DO j = jmin, jmax |
736 |
DO i = imin, imax |
737 |
DO k = 1, Nr |
738 |
km1 = max(1,k-1) |
739 |
KPPviscAz(i,j,k,bi,bj) = vddiff(i,j,k-1,1) * maskC(i,j,k,bi,bj) |
740 |
& * maskC(i,j,km1,bi,bj) |
741 |
KPPdiffKzS(i,j,k,bi,bj)= vddiff(i,j,k-1,2) * maskC(i,j,k,bi,bj) |
742 |
& * maskC(i,j,km1,bi,bj) |
743 |
KPPdiffKzT(i,j,k,bi,bj)= vddiff(i,j,k-1,3) * maskC(i,j,k,bi,bj) |
744 |
& * maskC(i,j,km1,bi,bj) |
745 |
KPPghat(i,j,k,bi,bj) = ghat(i,j,k) * maskC(i,j,k,bi,bj) |
746 |
& * maskC(i,j,km1,bi,bj) |
747 |
END DO |
748 |
k = 1 |
749 |
#ifdef ALLOW_SHELFICE |
750 |
if ( useShelfIce ) k = kTopC(i,j,bi,bj) |
751 |
#endif /* ALLOW_SHELFICE */ |
752 |
KPPhbl(i,j,bi,bj) = hbl(i,j) * maskC(i,j,k,bi,bj) |
753 |
|
754 |
END DO |
755 |
END DO |
756 |
|
757 |
#ifdef KPP_SMOOTH_VISC |
758 |
c horizontal smoothing of vertical viscosity |
759 |
DO k = 1, Nr |
760 |
CALL SMOOTH_HORIZ ( |
761 |
I k, bi, bj, |
762 |
U KPPviscAz(1-OLx,1-OLy,k,bi,bj), |
763 |
I myThid ) |
764 |
END DO |
765 |
_EXCH_XYZ_R8(KPPviscAz , myThid ) |
766 |
#endif /* KPP_SMOOTH_VISC */ |
767 |
|
768 |
#ifdef KPP_SMOOTH_DIFF |
769 |
c horizontal smoothing of vertical diffusivity |
770 |
DO k = 1, Nr |
771 |
CALL SMOOTH_HORIZ ( |
772 |
I k, bi, bj, |
773 |
U KPPdiffKzS(1-OLx,1-OLy,k,bi,bj), |
774 |
I myThid ) |
775 |
CALL SMOOTH_HORIZ ( |
776 |
I k, bi, bj, |
777 |
U KPPdiffKzT(1-OLx,1-OLy,k,bi,bj), |
778 |
I myThid ) |
779 |
END DO |
780 |
_EXCH_XYZ_R8(KPPdiffKzS , myThid ) |
781 |
_EXCH_XYZ_R8(KPPdiffKzT , myThid ) |
782 |
#endif /* KPP_SMOOTH_DIFF */ |
783 |
|
784 |
cph( |
785 |
cph crucial: this avoids full recomp./call of kppmix |
786 |
CADJ store KPPhbl = comlev1_kpp, key = ikppkey |
787 |
cph) |
788 |
|
789 |
C Compute fraction of solar short-wave flux penetrating to |
790 |
C the bottom of the mixing layer. |
791 |
DO j=1-OLy,sNy+OLy |
792 |
DO i=1-OLx,sNx+OLx |
793 |
worka(i,j) = KPPhbl(i,j,bi,bj) |
794 |
ENDDO |
795 |
ENDDO |
796 |
CALL SWFRAC( |
797 |
I (sNx+2*OLx)*(sNy+2*OLy), minusone, |
798 |
I mytime, mythid, |
799 |
U worka ) |
800 |
DO j=1-OLy,sNy+OLy |
801 |
DO i=1-OLx,sNx+OLx |
802 |
KPPfrac(i,j,bi,bj) = worka(i,j) |
803 |
ENDDO |
804 |
ENDDO |
805 |
|
806 |
ENDIF |
807 |
|
808 |
#endif /* ALLOW_KPP */ |
809 |
|
810 |
RETURN |
811 |
END |
812 |
|
813 |
subroutine KPP_CALC_DUMMY( |
814 |
I bi, bj, myTime, myThid ) |
815 |
C /==========================================================\ |
816 |
C | SUBROUTINE KPP_CALC_DUMMY | |
817 |
C | o Compute all KPP fields defined in KPP.h | |
818 |
C | o Dummy routine for TAMC |
819 |
C |==========================================================| |
820 |
C | This subroutine serves as an interface between MITGCMUV | |
821 |
C | code and NCOM 1-D routines in kpp_routines.F | |
822 |
C \==========================================================/ |
823 |
IMPLICIT NONE |
824 |
|
825 |
#include "SIZE.h" |
826 |
#include "EEPARAMS.h" |
827 |
#include "PARAMS.h" |
828 |
#include "KPP.h" |
829 |
#include "KPP_PARAMS.h" |
830 |
#include "GRID.h" |
831 |
#include "GAD.h" |
832 |
|
833 |
c Routine arguments |
834 |
c bi, bj - array indices on which to apply calculations |
835 |
c myTime - Current time in simulation |
836 |
|
837 |
INTEGER bi, bj |
838 |
INTEGER myThid |
839 |
_RL myTime |
840 |
|
841 |
#ifdef ALLOW_KPP |
842 |
|
843 |
c Local constants |
844 |
integer i, j, k |
845 |
|
846 |
DO j=1-OLy,sNy+OLy |
847 |
DO i=1-OLx,sNx+OLx |
848 |
KPPhbl (i,j,bi,bj) = 1.0 |
849 |
KPPfrac(i,j,bi,bj) = 0.0 |
850 |
DO k = 1,Nr |
851 |
KPPghat (i,j,k,bi,bj) = 0.0 |
852 |
KPPviscAz (i,j,k,bi,bj) = viscAr |
853 |
ENDDO |
854 |
ENDDO |
855 |
ENDDO |
856 |
|
857 |
CALL CALC_3D_DIFFUSIVITY( |
858 |
I bi,bj,1-Olx,sNx+OLx,1-Oly,sNy+OLy, |
859 |
I GAD_SALINITY, .FALSE., .FALSE., |
860 |
O KPPdiffKzS(1-Olx,1-Oly,1,bi,bj), |
861 |
I myThid) |
862 |
CALL CALC_3D_DIFFUSIVITY( |
863 |
I bi,bj,1-Olx,sNx+OLx,1-Oly,sNy+OLy, |
864 |
I GAD_TEMPERATURE, .FALSE., .FALSE., |
865 |
O KPPdiffKzT(1-Olx,1-Oly,1,bi,bj), |
866 |
I myThid) |
867 |
|
868 |
#endif |
869 |
RETURN |
870 |
END |