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1.11 |
C $Header: /u/gcmpack/MITgcm/pkg/kpp/kpp_calc.F,v 1.9.4.2 2002/07/11 14:16:04 heimbach Exp $ |
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C $Name: $ |
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#include "KPP_OPTIONS.h" |
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subroutine KPP_CALC( |
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I bi, bj, myTime, myThid ) |
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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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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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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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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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heimbach |
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c values of uVel, vVel, SurfaceTendencyU, SurfaceTendencyV 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 When option FRUGAL_KPP is used, computation in overlap regions |
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c is replaced with exchange calls hence reducing overlap requirements |
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c to OLx=1, OLy=1. |
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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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#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 ikey |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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EXTERNAL DIFFERENT_MULTIPLE |
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LOGICAL DIFFERENT_MULTIPLE |
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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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INTEGER bi, bj |
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INTEGER myThid |
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_RL myTime |
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#ifdef ALLOW_KPP |
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heimbach |
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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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_RL minusone |
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parameter( minusone=-1.0) |
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_KPP_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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#ifdef FRUGAL_KPP |
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parameter( imin=1 , imax=sNx , jmin=1 , jmax=sNy ) |
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#else |
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parameter( imin=-2 , imax=sNx+3 , jmin=-2 , jmax=sNy+3 ) |
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#endif |
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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 temperature (m^2/s) |
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c vddiff (nx,ny,Nrp2,3)- vert. diff. on next row for salt&tracers (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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heimbach |
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_RL worka ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
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integer work1 ( ibot:itop , jbot:jtop ) |
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_KPP_RL work2 ( ibot:itop , jbot:jtop ) |
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heimbach |
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_KPP_RL work3 ( ibot:itop , jbot:jtop ) |
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_KPP_RL ustar ( ibot:itop , jbot:jtop ) |
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_KPP_RL bo ( ibot:itop , jbot:jtop ) |
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_KPP_RL bosol ( ibot:itop , jbot:jtop ) |
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_KPP_RL shsq ( ibot:itop , jbot:jtop , Nr ) |
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_KPP_RL dVsq ( ibot:itop , jbot:jtop , Nr ) |
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_KPP_RL dbloc ( ibot:itop , jbot:jtop , Nr ) |
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_KPP_RL Ritop ( ibot:itop , jbot:jtop , Nr ) |
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_KPP_RL vddiff( ibot:itop , jbot:jtop , 0:Nrp1, mdiff ) |
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_KPP_RL ghat ( ibot:itop , jbot:jtop , Nr ) |
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_KPP_RL hbl ( ibot:itop , jbot:jtop ) |
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#ifdef KPP_ESTIMATE_UREF |
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_KPP_RL z0 ( ibot:itop , jbot:jtop ) |
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_KPP_RL zRef ( ibot:itop , jbot:jtop ) |
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_KPP_RL uRef ( ibot:itop , jbot:jtop ) |
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_KPP_RL vRef ( ibot:itop , jbot:jtop ) |
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#endif /* KPP_ESTIMATE_UREF */ |
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_KPP_RL tempvar1, tempvar2 |
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integer i, j, k, kp1, im1, ip1, jm1, jp1 |
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#ifdef KPP_ESTIMATE_UREF |
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_KPP_RL dBdz1, dBdz2, ustarX, ustarY |
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#endif |
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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,myTime-deltaTClock) .OR. |
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1 myTime .EQ. startTime ) THEN |
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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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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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CALL TIMER_START('STATEKPP [KPP_CALC]', myThid) |
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CALL STATEKPP( |
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I bi, bj, myThid |
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O , work2, dbloc, Ritop |
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heimbach |
1.4 |
O , vddiff(ibot,jbot,1,1), vddiff(ibot,jbot,1,2) |
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1.1 |
& ) |
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CALL TIMER_STOP ('STATEKPP [KPP_CALC]', myThid) |
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DO k = 1, Nr |
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heimbach |
1.4 |
DO j = jbot, jtop |
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DO i = ibot, itop |
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adcroft |
1.1 |
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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heimbach |
1.4 |
#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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DO k = 1, Nr-1 |
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CALL KPP_SMOOTH_HORIZ ( |
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I k+1, bi, bj, |
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U ghat (ibot,jbot,k) ) |
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ENDDO |
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adcroft |
1.1 |
#endif /* KPP_SMOOTH_DBLOC */ |
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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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heimbach |
1.4 |
CALL KPP_SMOOTH_HORIZ ( |
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I 1, bi, bj, |
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U work2 ) |
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adcroft |
1.1 |
DO k = 1, Nr |
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heimbach |
1.4 |
CALL KPP_SMOOTH_HORIZ ( |
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I k+1, bi, bj, |
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U dbloc (ibot,jbot,k) ) |
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CALL KPP_SMOOTH_HORIZ ( |
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adcroft |
1.1 |
I k, bi, bj, |
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heimbach |
1.4 |
U Ritop (ibot,jbot,k) ) |
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CALL KPP_SMOOTH_HORIZ ( |
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adcroft |
1.1 |
I k, bi, bj, |
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heimbach |
1.4 |
U vddiff(ibot,jbot,k,1) ) |
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CALL KPP_SMOOTH_HORIZ ( |
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adcroft |
1.1 |
I k, bi, bj, |
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heimbach |
1.4 |
U vddiff(ibot,jbot,k,2) ) |
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adcroft |
1.1 |
ENDDO |
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#endif /* KPP_SMOOTH_DENS */ |
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DO k = 1, Nr |
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heimbach |
1.4 |
DO j = jbot, jtop |
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DO i = ibot, itop |
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adcroft |
1.1 |
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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) * pMask(i,j,k,bi,bj) |
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ghat(i,j,k) = ghat(i,j,k) * pMask(i,j,k,bi,bj) |
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Ritop(i,j,k) = Ritop(i,j,k) * pMask(i,j,k,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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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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END DO |
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END DO |
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END DO |
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heimbach |
1.11 |
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 = ikey |
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#ifdef ALLOW_AUTODIFF_KPP_EXTENSIVE_STORE |
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CADJ store dbloc, Ritop, ghat = comlev1_kpp, key = ikey |
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CADJ store vddiff = comlev1_kpp, key = ikey |
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#endif |
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cph) |
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adcroft |
1.1 |
c------------------------------------------------------------------------ |
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c friction velocity, turbulent and radiative surface buoyancy forcing |
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c ------------------------------------------------------------------- |
315 |
jmc |
1.10 |
c taux / rho = SurfaceTendencyU * drF(1) (N/m^2) |
316 |
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c tauy / rho = SurfaceTendencyV * drF(1) (N/m^2) |
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c ustar = sqrt( sqrt( taux^2 + tauy^2 ) / rho ) (m/s) |
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heimbach |
1.2 |
c bo = - g * ( alpha*SurfaceTendencyT + |
319 |
jmc |
1.10 |
c beta *SurfaceTendencyS ) * drF(1) / rho (m^2/s^3) |
320 |
|
|
c bosol = - g * alpha * Qsw * drF(1) / rho (m^2/s^3) |
321 |
adcroft |
1.1 |
c------------------------------------------------------------------------ |
322 |
|
|
|
323 |
heimbach |
1.4 |
c initialize arrays to zero |
324 |
|
|
DO j = jbot, jtop |
325 |
|
|
DO i = ibot, itop |
326 |
|
|
ustar(i,j) = p0 |
327 |
|
|
bo (I,J) = p0 |
328 |
|
|
bosol(I,J) = p0 |
329 |
|
|
END DO |
330 |
|
|
END DO |
331 |
|
|
|
332 |
adcroft |
1.1 |
DO j = jmin, jmax |
333 |
heimbach |
1.2 |
jp1 = j + 1 |
334 |
|
|
DO i = imin, imax |
335 |
|
|
ip1 = i+1 |
336 |
heimbach |
1.11 |
work3(i,j) = |
337 |
heimbach |
1.2 |
& (SurfaceTendencyU(i,j,bi,bj) + SurfaceTendencyU(ip1,j,bi,bj)) * |
338 |
|
|
& (SurfaceTendencyU(i,j,bi,bj) + SurfaceTendencyU(ip1,j,bi,bj)) + |
339 |
|
|
& (SurfaceTendencyV(i,j,bi,bj) + SurfaceTendencyV(i,jp1,bi,bj)) * |
340 |
|
|
& (SurfaceTendencyV(i,j,bi,bj) + SurfaceTendencyV(i,jp1,bi,bj)) |
341 |
heimbach |
1.11 |
END DO |
342 |
|
|
END DO |
343 |
|
|
cph( |
344 |
|
|
CADJ store work3 = comlev1_kpp, key = ikey |
345 |
|
|
cph) |
346 |
|
|
DO j = jmin, jmax |
347 |
|
|
jp1 = j + 1 |
348 |
|
|
DO i = imin, imax |
349 |
|
|
ip1 = i+1 |
350 |
|
|
if ( work3(i,j) .lt. (phepsi*phepsi) ) then |
351 |
jmc |
1.10 |
ustar(i,j) = SQRT( phepsi * p5 * drF(1) ) |
352 |
heimbach |
1.2 |
else |
353 |
heimbach |
1.11 |
tempVar2 = SQRT( work3(i,j) ) * p5 * drF(1) |
354 |
heimbach |
1.4 |
ustar(i,j) = SQRT( tempVar2 ) |
355 |
heimbach |
1.2 |
endif |
356 |
|
|
bo(I,J) = - gravity * |
357 |
|
|
& ( vddiff(I,J,1,1) * SurfaceTendencyT(i,j,bi,bj) + |
358 |
|
|
& vddiff(I,J,1,2) * SurfaceTendencyS(i,j,bi,bj) |
359 |
|
|
& ) * |
360 |
jmc |
1.10 |
& drF(1) / work2(I,J) |
361 |
adcroft |
1.5 |
bosol(I,J) = gravity * vddiff(I,J,1,1) * Qsw(i,j,bi,bj) * |
362 |
|
|
& recip_Cp*recip_rhoNil*recip_dRf(1) * |
363 |
jmc |
1.10 |
& drF(1) / work2(I,J) |
364 |
heimbach |
1.2 |
END DO |
365 |
adcroft |
1.1 |
END DO |
366 |
|
|
|
367 |
heimbach |
1.11 |
cph( |
368 |
|
|
CADJ store ustar = comlev1_kpp, key = ikey |
369 |
|
|
cph) |
370 |
|
|
|
371 |
adcroft |
1.1 |
c------------------------------------------------------------------------ |
372 |
|
|
c velocity shear |
373 |
|
|
c -------------- |
374 |
|
|
c Get velocity shear squared, averaged from "u,v-grid" |
375 |
|
|
c onto "t-grid" (in (m/s)**2): |
376 |
|
|
c dVsq(k)=(Uref-U(k))**2+(Vref-V(k))**2 at grid levels |
377 |
|
|
c shsq(k)=(U(k)-U(k+1))**2+(V(k)-V(k+1))**2 at interfaces |
378 |
|
|
c------------------------------------------------------------------------ |
379 |
|
|
|
380 |
heimbach |
1.4 |
c initialize arrays to zero |
381 |
|
|
DO k = 1, Nr |
382 |
|
|
DO j = jbot, jtop |
383 |
|
|
DO i = ibot, itop |
384 |
|
|
shsq(i,j,k) = p0 |
385 |
|
|
dVsq(i,j,k) = p0 |
386 |
|
|
END DO |
387 |
|
|
END DO |
388 |
|
|
END DO |
389 |
|
|
|
390 |
adcroft |
1.1 |
c dVsq computation |
391 |
|
|
|
392 |
|
|
#ifdef KPP_ESTIMATE_UREF |
393 |
|
|
|
394 |
|
|
c Get rid of vertical resolution dependence of dVsq term by |
395 |
|
|
c estimating a surface velocity that is independent of first level |
396 |
|
|
c thickness in the model. First determine mixed layer depth hMix. |
397 |
|
|
c Second zRef = espilon * hMix. Third determine roughness length |
398 |
|
|
c scale z0. Third estimate reference velocity. |
399 |
|
|
|
400 |
|
|
DO j = jmin, jmax |
401 |
|
|
jp1 = j + 1 |
402 |
|
|
DO i = imin, imax |
403 |
|
|
ip1 = i + 1 |
404 |
|
|
|
405 |
|
|
c Determine mixed layer depth hMix as the shallowest depth at which |
406 |
|
|
c dB/dz exceeds 5.2e-5 s^-2. |
407 |
|
|
work1(i,j) = nzmax(i,j,bi,bj) |
408 |
|
|
DO k = 1, Nr |
409 |
|
|
IF ( k .LT. nzmax(i,j,bi,bj) .AND. |
410 |
|
|
& dbloc(i,j,k) / drC(k+1) .GT. dB_dz ) |
411 |
|
|
& work1(i,j) = k |
412 |
|
|
END DO |
413 |
|
|
|
414 |
|
|
c Linearly interpolate to find hMix. |
415 |
|
|
k = work1(i,j) |
416 |
|
|
IF ( k .EQ. 0 .OR. nzmax(i,j,bi,bj) .EQ. 1 ) THEN |
417 |
|
|
zRef(i,j) = p0 |
418 |
|
|
ELSEIF ( k .EQ. 1) THEN |
419 |
|
|
dBdz2 = dbloc(i,j,1) / drC(2) |
420 |
|
|
zRef(i,j) = drF(1) * dB_dz / dBdz2 |
421 |
|
|
ELSEIF ( k .LT. nzmax(i,j,bi,bj) ) THEN |
422 |
|
|
dBdz1 = dbloc(i,j,k-1) / drC(k ) |
423 |
|
|
dBdz2 = dbloc(i,j,k ) / drC(k+1) |
424 |
|
|
zRef(i,j) = rF(k) + drF(k) * (dB_dz - dBdz1) / |
425 |
|
|
& MAX ( phepsi, dBdz2 - dBdz1 ) |
426 |
|
|
ELSE |
427 |
|
|
zRef(i,j) = rF(k+1) |
428 |
|
|
ENDIF |
429 |
|
|
|
430 |
|
|
c Compute roughness length scale z0 subject to 0 < z0 |
431 |
heimbach |
1.4 |
tempVar1 = p5 * ( |
432 |
adcroft |
1.1 |
& (uVel(i, j, 1,bi,bj)-uVel(i, j, 2,bi,bj)) * |
433 |
|
|
& (uVel(i, j, 1,bi,bj)-uVel(i, j, 2,bi,bj)) + |
434 |
|
|
& (uVel(ip1,j, 1,bi,bj)-uVel(ip1,j, 2,bi,bj)) * |
435 |
|
|
& (uVel(ip1,j, 1,bi,bj)-uVel(ip1,j, 2,bi,bj)) + |
436 |
|
|
& (vVel(i, j, 1,bi,bj)-vVel(i, j, 2,bi,bj)) * |
437 |
|
|
& (vVel(i, j, 1,bi,bj)-vVel(i, j, 2,bi,bj)) + |
438 |
|
|
& (vVel(i, jp1,1,bi,bj)-vVel(i, jp1,2,bi,bj)) * |
439 |
heimbach |
1.2 |
& (vVel(i, jp1,1,bi,bj)-vVel(i, jp1,2,bi,bj)) ) |
440 |
heimbach |
1.4 |
if ( tempVar1 .lt. (epsln*epsln) ) then |
441 |
|
|
tempVar2 = epsln |
442 |
heimbach |
1.2 |
else |
443 |
heimbach |
1.4 |
tempVar2 = SQRT ( tempVar1 ) |
444 |
heimbach |
1.2 |
endif |
445 |
adcroft |
1.1 |
z0(i,j) = rF(2) * |
446 |
|
|
& ( rF(3) * LOG ( rF(3) / rF(2) ) / |
447 |
|
|
& ( rF(3) - rF(2) ) - |
448 |
heimbach |
1.4 |
& tempVar2 * vonK / |
449 |
adcroft |
1.1 |
& MAX ( ustar(i,j), phepsi ) ) |
450 |
|
|
z0(i,j) = MAX ( z0(i,j), phepsi ) |
451 |
|
|
|
452 |
|
|
c zRef is set to 0.1 * hMix subject to z0 <= zRef <= drF(1) |
453 |
|
|
zRef(i,j) = MAX ( epsilon * zRef(i,j), z0(i,j) ) |
454 |
|
|
zRef(i,j) = MIN ( zRef(i,j), drF(1) ) |
455 |
|
|
|
456 |
|
|
c Estimate reference velocity uRef and vRef. |
457 |
|
|
uRef(i,j) = p5 * |
458 |
|
|
& ( uVel(i,j,1,bi,bj) + uVel(ip1,j,1,bi,bj) ) |
459 |
|
|
vRef(i,j) = p5 * |
460 |
|
|
& ( vVel(i,j,1,bi,bj) + vVel(i,jp1,1,bi,bj) ) |
461 |
|
|
IF ( zRef(i,j) .LT. drF(1) ) THEN |
462 |
heimbach |
1.2 |
ustarX = ( SurfaceTendencyU(i, j,bi,bj) + |
463 |
|
|
& SurfaceTendencyU(ip1,j,bi,bj) ) * p5 |
464 |
|
|
ustarY = ( SurfaceTendencyV(i,j, bi,bj) + |
465 |
|
|
& SurfaceTendencyU(i,jp1,bi,bj) ) * p5 |
466 |
heimbach |
1.4 |
tempVar1 = ustarX * ustarX + ustarY * ustarY |
467 |
|
|
if ( tempVar1 .lt. (epsln*epsln) ) then |
468 |
|
|
tempVar2 = epsln |
469 |
heimbach |
1.2 |
else |
470 |
heimbach |
1.4 |
tempVar2 = SQRT ( tempVar1 ) |
471 |
heimbach |
1.2 |
endif |
472 |
heimbach |
1.4 |
tempVar2 = ustar(i,j) * |
473 |
adcroft |
1.1 |
& ( LOG ( zRef(i,j) / rF(2) ) + |
474 |
|
|
& z0(i,j) / zRef(i,j) - z0(i,j) / rF(2) ) / |
475 |
heimbach |
1.4 |
& vonK / tempVar2 |
476 |
|
|
uRef(i,j) = uRef(i,j) + ustarX * tempVar2 |
477 |
|
|
vRef(i,j) = vRef(i,j) + ustarY * tempVar2 |
478 |
adcroft |
1.1 |
ENDIF |
479 |
|
|
|
480 |
|
|
END DO |
481 |
|
|
END DO |
482 |
|
|
|
483 |
|
|
DO k = 1, Nr |
484 |
|
|
DO j = jmin, jmax |
485 |
|
|
jm1 = j - 1 |
486 |
|
|
jp1 = j + 1 |
487 |
|
|
DO i = imin, imax |
488 |
|
|
im1 = i - 1 |
489 |
|
|
ip1 = i + 1 |
490 |
|
|
dVsq(i,j,k) = p5 * ( |
491 |
|
|
$ (uRef(i,j) - uVel(i, j, k,bi,bj)) * |
492 |
|
|
$ (uRef(i,j) - uVel(i, j, k,bi,bj)) + |
493 |
|
|
$ (uRef(i,j) - uVel(ip1,j, k,bi,bj)) * |
494 |
|
|
$ (uRef(i,j) - uVel(ip1,j, k,bi,bj)) + |
495 |
|
|
$ (vRef(i,j) - vVel(i, j, k,bi,bj)) * |
496 |
|
|
$ (vRef(i,j) - vVel(i, j, k,bi,bj)) + |
497 |
|
|
$ (vRef(i,j) - vVel(i, jp1,k,bi,bj)) * |
498 |
|
|
$ (vRef(i,j) - vVel(i, jp1,k,bi,bj)) ) |
499 |
|
|
#ifdef KPP_SMOOTH_DVSQ |
500 |
|
|
dVsq(i,j,k) = p5 * dVsq(i,j,k) + p125 * ( |
501 |
|
|
$ (uRef(i,j) - uVel(i, jm1,k,bi,bj)) * |
502 |
|
|
$ (uRef(i,j) - uVel(i, jm1,k,bi,bj)) + |
503 |
|
|
$ (uRef(i,j) - uVel(ip1,jm1,k,bi,bj)) * |
504 |
|
|
$ (uRef(i,j) - uVel(ip1,jm1,k,bi,bj)) + |
505 |
|
|
$ (uRef(i,j) - uVel(i, jp1,k,bi,bj)) * |
506 |
|
|
$ (uRef(i,j) - uVel(i, jp1,k,bi,bj)) + |
507 |
|
|
$ (uRef(i,j) - uVel(ip1,jp1,k,bi,bj)) * |
508 |
|
|
$ (uRef(i,j) - uVel(ip1,jp1,k,bi,bj)) + |
509 |
|
|
$ (vRef(i,j) - vVel(im1,j, k,bi,bj)) * |
510 |
|
|
$ (vRef(i,j) - vVel(im1,j, k,bi,bj)) + |
511 |
|
|
$ (vRef(i,j) - vVel(im1,jp1,k,bi,bj)) * |
512 |
|
|
$ (vRef(i,j) - vVel(im1,jp1,k,bi,bj)) + |
513 |
|
|
$ (vRef(i,j) - vVel(ip1,j, k,bi,bj)) * |
514 |
|
|
$ (vRef(i,j) - vVel(ip1,j, k,bi,bj)) + |
515 |
|
|
$ (vRef(i,j) - vVel(ip1,jp1,k,bi,bj)) * |
516 |
|
|
$ (vRef(i,j) - vVel(ip1,jp1,k,bi,bj)) ) |
517 |
|
|
#endif /* KPP_SMOOTH_DVSQ */ |
518 |
|
|
END DO |
519 |
|
|
END DO |
520 |
|
|
END DO |
521 |
|
|
|
522 |
|
|
#else /* KPP_ESTIMATE_UREF */ |
523 |
|
|
|
524 |
|
|
DO k = 1, Nr |
525 |
|
|
DO j = jmin, jmax |
526 |
|
|
jm1 = j - 1 |
527 |
|
|
jp1 = j + 1 |
528 |
|
|
DO i = imin, imax |
529 |
|
|
im1 = i - 1 |
530 |
|
|
ip1 = i + 1 |
531 |
|
|
dVsq(i,j,k) = p5 * ( |
532 |
|
|
$ (uVel(i, j, 1,bi,bj)-uVel(i, j, k,bi,bj)) * |
533 |
|
|
$ (uVel(i, j, 1,bi,bj)-uVel(i, j, k,bi,bj)) + |
534 |
|
|
$ (uVel(ip1,j, 1,bi,bj)-uVel(ip1,j, k,bi,bj)) * |
535 |
|
|
$ (uVel(ip1,j, 1,bi,bj)-uVel(ip1,j, k,bi,bj)) + |
536 |
|
|
$ (vVel(i, j, 1,bi,bj)-vVel(i, j, k,bi,bj)) * |
537 |
|
|
$ (vVel(i, j, 1,bi,bj)-vVel(i, j, k,bi,bj)) + |
538 |
|
|
$ (vVel(i, jp1,1,bi,bj)-vVel(i, jp1,k,bi,bj)) * |
539 |
|
|
$ (vVel(i, jp1,1,bi,bj)-vVel(i, jp1,k,bi,bj)) ) |
540 |
|
|
#ifdef KPP_SMOOTH_DVSQ |
541 |
|
|
dVsq(i,j,k) = p5 * dVsq(i,j,k) + p125 * ( |
542 |
|
|
$ (uVel(i, jm1,1,bi,bj)-uVel(i, jm1,k,bi,bj)) * |
543 |
|
|
$ (uVel(i, jm1,1,bi,bj)-uVel(i, jm1,k,bi,bj)) + |
544 |
|
|
$ (uVel(ip1,jm1,1,bi,bj)-uVel(ip1,jm1,k,bi,bj)) * |
545 |
|
|
$ (uVel(ip1,jm1,1,bi,bj)-uVel(ip1,jm1,k,bi,bj)) + |
546 |
|
|
$ (uVel(i, jp1,1,bi,bj)-uVel(i, jp1,k,bi,bj)) * |
547 |
|
|
$ (uVel(i, jp1,1,bi,bj)-uVel(i, jp1,k,bi,bj)) + |
548 |
|
|
$ (uVel(ip1,jp1,1,bi,bj)-uVel(ip1,jp1,k,bi,bj)) * |
549 |
|
|
$ (uVel(ip1,jp1,1,bi,bj)-uVel(ip1,jp1,k,bi,bj)) + |
550 |
|
|
$ (vVel(im1,j, 1,bi,bj)-vVel(im1,j, k,bi,bj)) * |
551 |
|
|
$ (vVel(im1,j, 1,bi,bj)-vVel(im1,j, k,bi,bj)) + |
552 |
|
|
$ (vVel(im1,jp1,1,bi,bj)-vVel(im1,jp1,k,bi,bj)) * |
553 |
|
|
$ (vVel(im1,jp1,1,bi,bj)-vVel(im1,jp1,k,bi,bj)) + |
554 |
|
|
$ (vVel(ip1,j, 1,bi,bj)-vVel(ip1,j, k,bi,bj)) * |
555 |
|
|
$ (vVel(ip1,j, 1,bi,bj)-vVel(ip1,j, k,bi,bj)) + |
556 |
|
|
$ (vVel(ip1,jp1,1,bi,bj)-vVel(ip1,jp1,k,bi,bj)) * |
557 |
|
|
$ (vVel(ip1,jp1,1,bi,bj)-vVel(ip1,jp1,k,bi,bj)) ) |
558 |
|
|
#endif /* KPP_SMOOTH_DVSQ */ |
559 |
|
|
END DO |
560 |
|
|
END DO |
561 |
|
|
END DO |
562 |
|
|
|
563 |
|
|
#endif /* KPP_ESTIMATE_UREF */ |
564 |
|
|
|
565 |
|
|
c shsq computation |
566 |
|
|
DO k = 1, Nrm1 |
567 |
|
|
kp1 = k + 1 |
568 |
|
|
DO j = jmin, jmax |
569 |
|
|
jm1 = j - 1 |
570 |
|
|
jp1 = j + 1 |
571 |
|
|
DO i = imin, imax |
572 |
|
|
im1 = i - 1 |
573 |
|
|
ip1 = i + 1 |
574 |
|
|
shsq(i,j,k) = p5 * ( |
575 |
|
|
$ (uVel(i, j, k,bi,bj)-uVel(i, j, kp1,bi,bj)) * |
576 |
|
|
$ (uVel(i, j, k,bi,bj)-uVel(i, j, kp1,bi,bj)) + |
577 |
|
|
$ (uVel(ip1,j, k,bi,bj)-uVel(ip1,j, kp1,bi,bj)) * |
578 |
|
|
$ (uVel(ip1,j, k,bi,bj)-uVel(ip1,j, kp1,bi,bj)) + |
579 |
|
|
$ (vVel(i, j, k,bi,bj)-vVel(i, j, kp1,bi,bj)) * |
580 |
|
|
$ (vVel(i, j, k,bi,bj)-vVel(i, j, kp1,bi,bj)) + |
581 |
|
|
$ (vVel(i, jp1,k,bi,bj)-vVel(i, jp1,kp1,bi,bj)) * |
582 |
|
|
$ (vVel(i, jp1,k,bi,bj)-vVel(i, jp1,kp1,bi,bj)) ) |
583 |
|
|
#ifdef KPP_SMOOTH_SHSQ |
584 |
|
|
shsq(i,j,k) = p5 * shsq(i,j,k) + p125 * ( |
585 |
|
|
$ (uVel(i, jm1,k,bi,bj)-uVel(i, jm1,kp1,bi,bj)) * |
586 |
|
|
$ (uVel(i, jm1,k,bi,bj)-uVel(i, jm1,kp1,bi,bj)) + |
587 |
|
|
$ (uVel(ip1,jm1,k,bi,bj)-uVel(ip1,jm1,kp1,bi,bj)) * |
588 |
|
|
$ (uVel(ip1,jm1,k,bi,bj)-uVel(ip1,jm1,kp1,bi,bj)) + |
589 |
|
|
$ (uVel(i, jp1,k,bi,bj)-uVel(i, jp1,kp1,bi,bj)) * |
590 |
|
|
$ (uVel(i, jp1,k,bi,bj)-uVel(i, jp1,kp1,bi,bj)) + |
591 |
|
|
$ (uVel(ip1,jp1,k,bi,bj)-uVel(ip1,jp1,kp1,bi,bj)) * |
592 |
|
|
$ (uVel(ip1,jp1,k,bi,bj)-uVel(ip1,jp1,kp1,bi,bj)) + |
593 |
|
|
$ (vVel(im1,j, k,bi,bj)-vVel(im1,j, kp1,bi,bj)) * |
594 |
|
|
$ (vVel(im1,j, k,bi,bj)-vVel(im1,j, kp1,bi,bj)) + |
595 |
|
|
$ (vVel(im1,jp1,k,bi,bj)-vVel(im1,jp1,kp1,bi,bj)) * |
596 |
|
|
$ (vVel(im1,jp1,k,bi,bj)-vVel(im1,jp1,kp1,bi,bj)) + |
597 |
|
|
$ (vVel(ip1,j, k,bi,bj)-vVel(ip1,j, kp1,bi,bj)) * |
598 |
|
|
$ (vVel(ip1,j, k,bi,bj)-vVel(ip1,j, kp1,bi,bj)) + |
599 |
|
|
$ (vVel(ip1,jp1,k,bi,bj)-vVel(ip1,jp1,kp1,bi,bj)) * |
600 |
|
|
$ (vVel(ip1,jp1,k,bi,bj)-vVel(ip1,jp1,kp1,bi,bj)) ) |
601 |
|
|
#endif |
602 |
|
|
END DO |
603 |
|
|
END DO |
604 |
|
|
END DO |
605 |
|
|
|
606 |
heimbach |
1.11 |
cph( |
607 |
|
|
#ifdef ALLOW_AUTODIFF_KPP_EXTENSIVE_STORE |
608 |
|
|
CADJ store dvsq, shsq = comlev1_kpp, key = ikey |
609 |
|
|
#endif |
610 |
|
|
cph) |
611 |
|
|
|
612 |
adcroft |
1.1 |
c----------------------------------------------------------------------- |
613 |
|
|
c solve for viscosity, diffusivity, ghat, and hbl on "t-grid" |
614 |
|
|
c----------------------------------------------------------------------- |
615 |
|
|
|
616 |
heimbach |
1.4 |
DO j = jbot, jtop |
617 |
|
|
DO i = ibot, itop |
618 |
adcroft |
1.1 |
work1(i,j) = nzmax(i,j,bi,bj) |
619 |
|
|
work2(i,j) = Fcori(i,j,bi,bj) |
620 |
|
|
END DO |
621 |
|
|
END DO |
622 |
|
|
CALL TIMER_START('KPPMIX [KPP_CALC]', myThid) |
623 |
|
|
CALL KPPMIX ( |
624 |
heimbach |
1.4 |
I mytime, mythid |
625 |
|
|
I , work1, shsq, dVsq, ustar |
626 |
adcroft |
1.1 |
I , bo, bosol, dbloc, Ritop, work2 |
627 |
|
|
I , ikey |
628 |
|
|
O , vddiff |
629 |
|
|
U , ghat |
630 |
heimbach |
1.4 |
O , hbl ) |
631 |
adcroft |
1.1 |
|
632 |
|
|
CALL TIMER_STOP ('KPPMIX [KPP_CALC]', myThid) |
633 |
|
|
|
634 |
|
|
c----------------------------------------------------------------------- |
635 |
heimbach |
1.4 |
c zero out land values and transfer to global variables |
636 |
adcroft |
1.1 |
c----------------------------------------------------------------------- |
637 |
|
|
|
638 |
|
|
DO j = jmin, jmax |
639 |
heimbach |
1.4 |
DO i = imin, imax |
640 |
|
|
DO k = 1, Nr |
641 |
|
|
KPPviscAz(i,j,k,bi,bj) = vddiff(i,j,k-1,1) * pMask(i,j,k,bi,bj) |
642 |
|
|
KPPdiffKzS(i,j,k,bi,bj)= vddiff(i,j,k-1,2) * pMask(i,j,k,bi,bj) |
643 |
|
|
KPPdiffKzT(i,j,k,bi,bj)= vddiff(i,j,k-1,3) * pMask(i,j,k,bi,bj) |
644 |
|
|
KPPghat(i,j,k,bi,bj) = ghat(i,j,k) * pMask(i,j,k,bi,bj) |
645 |
|
|
END DO |
646 |
|
|
KPPhbl(i,j,bi,bj) = hbl(i,j) * pMask(i,j,1,bi,bj) |
647 |
|
|
END DO |
648 |
adcroft |
1.1 |
END DO |
649 |
|
|
#ifdef FRUGAL_KPP |
650 |
|
|
_EXCH_XYZ_R8(KPPviscAz , myThid ) |
651 |
|
|
_EXCH_XYZ_R8(KPPdiffKzS , myThid ) |
652 |
|
|
_EXCH_XYZ_R8(KPPdiffKzT , myThid ) |
653 |
|
|
_EXCH_XYZ_R8(KPPghat , myThid ) |
654 |
|
|
_EXCH_XY_R8 (KPPhbl , myThid ) |
655 |
|
|
#endif |
656 |
|
|
|
657 |
|
|
#ifdef KPP_SMOOTH_VISC |
658 |
|
|
c horizontal smoothing of vertical viscosity |
659 |
|
|
DO k = 1, Nr |
660 |
heimbach |
1.4 |
CALL SMOOTH_HORIZ ( |
661 |
adcroft |
1.1 |
I k, bi, bj, |
662 |
heimbach |
1.4 |
U KPPviscAz(1-OLx,1-OLy,k,bi,bj) ) |
663 |
adcroft |
1.1 |
END DO |
664 |
heimbach |
1.4 |
_EXCH_XYZ_R8(KPPviscAz , myThid ) |
665 |
adcroft |
1.1 |
#endif /* KPP_SMOOTH_VISC */ |
666 |
|
|
|
667 |
|
|
#ifdef KPP_SMOOTH_DIFF |
668 |
|
|
c horizontal smoothing of vertical diffusivity |
669 |
|
|
DO k = 1, Nr |
670 |
heimbach |
1.4 |
CALL SMOOTH_HORIZ ( |
671 |
adcroft |
1.1 |
I k, bi, bj, |
672 |
heimbach |
1.4 |
U KPPdiffKzS(1-OLx,1-OLy,k,bi,bj) ) |
673 |
|
|
CALL SMOOTH_HORIZ ( |
674 |
adcroft |
1.1 |
I k, bi, bj, |
675 |
heimbach |
1.4 |
U KPPdiffKzT(1-OLx,1-OLy,k,bi,bj) ) |
676 |
adcroft |
1.1 |
END DO |
677 |
heimbach |
1.4 |
_EXCH_XYZ_R8(KPPdiffKzS , myThid ) |
678 |
|
|
_EXCH_XYZ_R8(KPPdiffKzT , myThid ) |
679 |
adcroft |
1.1 |
#endif /* KPP_SMOOTH_DIFF */ |
680 |
heimbach |
1.11 |
|
681 |
|
|
cph( |
682 |
|
|
cph crucial: this avoids full recomp./call of kppmix |
683 |
|
|
CADJ store KPPhbl = comlev1_kpp, key = ikey |
684 |
|
|
cph) |
685 |
adcroft |
1.1 |
|
686 |
|
|
C Compute fraction of solar short-wave flux penetrating to |
687 |
|
|
C the bottom of the mixing layer. |
688 |
|
|
DO j=1-OLy,sNy+OLy |
689 |
|
|
DO i=1-OLx,sNx+OLx |
690 |
|
|
worka(i,j) = KPPhbl(i,j,bi,bj) |
691 |
|
|
ENDDO |
692 |
|
|
ENDDO |
693 |
|
|
CALL SWFRAC( |
694 |
heimbach |
1.4 |
I (sNx+2*OLx)*(sNy+2*OLy), minusone, |
695 |
|
|
I mytime, mythid, |
696 |
|
|
U worka ) |
697 |
adcroft |
1.1 |
DO j=1-OLy,sNy+OLy |
698 |
|
|
DO i=1-OLx,sNx+OLx |
699 |
heimbach |
1.4 |
KPPfrac(i,j,bi,bj) = worka(i,j) |
700 |
adcroft |
1.1 |
ENDDO |
701 |
|
|
ENDDO |
702 |
|
|
|
703 |
|
|
ENDIF |
704 |
|
|
|
705 |
adcroft |
1.9 |
#endif /* ALLOW_KPP */ |
706 |
adcroft |
1.1 |
|
707 |
heimbach |
1.8 |
RETURN |
708 |
|
|
END |
709 |
|
|
|
710 |
|
|
subroutine KPP_CALC_DUMMY( |
711 |
|
|
I bi, bj, myTime, myThid ) |
712 |
|
|
C /==========================================================\ |
713 |
|
|
C | SUBROUTINE KPP_CALC_DUMMY | |
714 |
|
|
C | o Compute all KPP fields defined in KPP.h | |
715 |
|
|
C | o Dummy routine for TAMC |
716 |
|
|
C |==========================================================| |
717 |
|
|
C | This subroutine serves as an interface between MITGCMUV | |
718 |
|
|
C | code and NCOM 1-D routines in kpp_routines.F | |
719 |
|
|
C \==========================================================/ |
720 |
|
|
IMPLICIT NONE |
721 |
|
|
|
722 |
|
|
#include "SIZE.h" |
723 |
|
|
#include "EEPARAMS.h" |
724 |
|
|
#include "PARAMS.h" |
725 |
|
|
#include "KPP.h" |
726 |
|
|
#include "KPP_PARAMS.h" |
727 |
|
|
#include "GRID.h" |
728 |
|
|
|
729 |
|
|
c Routine arguments |
730 |
|
|
c bi, bj - array indices on which to apply calculations |
731 |
|
|
c myTime - Current time in simulation |
732 |
|
|
|
733 |
|
|
INTEGER bi, bj |
734 |
|
|
INTEGER myThid |
735 |
|
|
_RL myTime |
736 |
|
|
|
737 |
|
|
#ifdef ALLOW_KPP |
738 |
|
|
|
739 |
|
|
c Local constants |
740 |
|
|
integer i, j, k |
741 |
|
|
|
742 |
|
|
DO j=1-OLy,sNy+OLy |
743 |
|
|
DO i=1-OLx,sNx+OLx |
744 |
|
|
KPPhbl (i,j,bi,bj) = 1.0 |
745 |
|
|
KPPfrac(i,j,bi,bj) = 0.0 |
746 |
|
|
DO k = 1,Nr |
747 |
|
|
KPPghat (i,j,k,bi,bj) = 0.0 |
748 |
|
|
KPPviscAz (i,j,k,bi,bj) = viscAz |
749 |
|
|
KPPdiffKzT(i,j,k,bi,bj) = diffKzT |
750 |
|
|
KPPdiffKzS(i,j,k,bi,bj) = diffKzS |
751 |
|
|
ENDDO |
752 |
|
|
ENDDO |
753 |
|
|
ENDDO |
754 |
|
|
|
755 |
|
|
#endif |
756 |
adcroft |
1.1 |
RETURN |
757 |
|
|
END |