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C $Header: /u/gcmpack/MITgcm/pkg/mom_common/mom_calc_visc.F,v 1.47 2014/04/04 20:08:11 jmc Exp $ |
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C $Name: $ |
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|
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#include "MOM_COMMON_OPTIONS.h" |
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#ifdef ALLOW_AUTODIFF |
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# include "AUTODIFF_OPTIONS.h" |
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#endif |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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CBOP |
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C !ROUTINE: MOM_CALC_VISC |
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|
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C !INTERFACE: |
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SUBROUTINE MOM_CALC_VISC( |
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I bi,bj,k, |
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O viscAh_Z,viscAh_D,viscA4_Z,viscA4_D, |
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I hDiv,vort3,tension,strain,KE,hFacZ, |
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I myThid) |
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|
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C !DESCRIPTION: |
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C Calculate horizontal viscosities (L is typical grid width) |
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C harmonic viscosity= |
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C viscAh (or viscAhD on div pts and viscAhZ on zeta pts) |
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C +0.25*L**2*viscAhGrid/deltaT |
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C +sqrt((viscC2leith/pi)**6*grad(Vort3)**2 |
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C +(viscC2leithD/pi)**6*grad(hDiv)**2)*L**3 |
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C +(viscC2smag/pi)**2*L**2*sqrt(Tension**2+Strain**2) |
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C |
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C biharmonic viscosity= |
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C viscA4 (or viscA4D on div pts and viscA4Z on zeta pts) |
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C +0.25*0.125*L**4*viscA4Grid/deltaT (approx) |
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C +0.125*L**5*sqrt((viscC4leith/pi)**6*grad(Vort3)**2 |
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C +(viscC4leithD/pi)**6*grad(hDiv)**2) |
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C +0.125*L**4*(viscC4smag/pi)**2*sqrt(Tension**2+Strain**2) |
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C |
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C Note that often 0.125*L**2 is the scale between harmonic and |
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C biharmonic (see Griffies and Hallberg (2000)) |
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C This allows the same value of the coefficient to be used |
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C for roughly similar results with biharmonic and harmonic |
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C |
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C LIMITERS -- limit min and max values of viscosities |
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C viscAhReMax is min value for grid point harmonic Reynolds num |
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C harmonic viscosity>sqrt(2*KE)*L/viscAhReMax |
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C |
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C viscA4ReMax is min value for grid point biharmonic Reynolds num |
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C biharmonic viscosity>sqrt(2*KE)*L**3/8/viscA4ReMax |
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C |
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C viscAhgridmax is CFL stability limiter for harmonic viscosity |
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C harmonic viscosity<0.25*viscAhgridmax*L**2/deltaT |
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C |
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C viscA4gridmax is CFL stability limiter for biharmonic viscosity |
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C biharmonic viscosity<viscA4gridmax*L**4/32/deltaT (approx) |
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C |
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C viscAhgridmin and viscA4gridmin are lower limits for viscosity: |
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C harmonic viscosity>0.25*viscAhgridmin*L**2/deltaT |
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C biharmonic viscosity>viscA4gridmin*L**4/32/deltaT (approx) |
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|
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C RECOMMENDED VALUES |
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C viscC2Leith=1-3 |
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C viscC2LeithD=1-3 |
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C viscC4Leith=1-3 |
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C viscC4LeithD=1.5-3 |
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C viscC2smag=2.2-4 (Griffies and Hallberg,2000) |
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C 0.2-0.9 (Smagorinsky,1993) |
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C viscC4smag=2.2-4 (Griffies and Hallberg,2000) |
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C viscAhReMax>=1, (<2 suppresses a computational mode) |
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C viscA4ReMax>=1, (<2 suppresses a computational mode) |
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C viscAhgridmax=1 |
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C viscA4gridmax=1 |
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C viscAhgrid<1 |
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C viscA4grid<1 |
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C viscAhgridmin<<1 |
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C viscA4gridmin<<1 |
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|
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C !USES: |
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IMPLICIT NONE |
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|
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C == Global variables == |
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#include "SIZE.h" |
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#include "GRID.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "MOM_VISC.h" |
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#ifdef ALLOW_AUTODIFF |
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#include "tamc.h" |
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#include "tamc_keys.h" |
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#endif /* ALLOW_AUTODIFF */ |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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C myThid :: my thread Id number |
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INTEGER bi,bj,k |
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_RL viscAh_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscAh_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscA4_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscA4_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL hDiv(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vort3(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL tension(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL strain(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL KE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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INTEGER myThid |
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CEOP |
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|
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C !LOCAL VARIABLES: |
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INTEGER i,j |
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#ifdef ALLOW_NONHYDROSTATIC |
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_RL shiftAh, shiftA4 |
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#endif |
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#ifdef ALLOW_AUTODIFF_TAMC |
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INTEGER lockey_1, lockey_2 |
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#endif |
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_RL smag2fac, smag4fac |
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_RL leith2fac, leith4fac |
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_RL leithD2fac, leithD4fac |
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_RL viscAhRe_max, viscA4Re_max |
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_RL Alin,grdVrt,grdDiv, keZpt |
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_RL L2, L3, L5, L2rdt, L4rdt, recip_dt |
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_RL Uscl,U4scl |
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_RL divDx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL divDy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vrtDx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vrtDy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscAh_ZMax(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscAh_DMax(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscA4_ZMax(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscA4_DMax(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscAh_ZMin(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscAh_DMin(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscA4_ZMin(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscA4_DMin(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscAh_ZLth(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscAh_DLth(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscA4_ZLth(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscA4_DLth(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscAh_ZLthD(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscAh_DLthD(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscA4_ZLthD(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscA4_DLthD(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscAh_ZSmg(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscAh_DSmg(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscA4_ZSmg(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL viscA4_DSmg(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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LOGICAL calcLeith, calcSmag |
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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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ikey = (act1 + 1) + act2*max1 |
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& + act3*max1*max2 |
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& + act4*max1*max2*max3 |
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lockey_1 = (ikey-1)*Nr + k |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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C-- Set flags which are used in this S/R and elsewhere : |
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C useVariableVisc, useHarmonicVisc and useBiharmonicVisc |
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C are now set early on (in S/R SET_PARAMS) |
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|
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c IF ( useVariableVisc ) THEN |
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C---- variable viscosity : |
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|
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recip_dt = 1. _d 0 |
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IF ( deltaTMom.NE.0. ) recip_dt = 1. _d 0/deltaTMom |
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|
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IF ( useHarmonicVisc .AND. viscAhReMax.NE.0. ) THEN |
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viscAhRe_max=SQRT(2. _d 0)/viscAhReMax |
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ELSE |
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viscAhRe_max=0. _d 0 |
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ENDIF |
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|
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IF ( useBiharmonicVisc .AND. viscA4ReMax.NE.0. ) THEN |
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viscA4Re_max=0.125 _d 0*SQRT(2. _d 0)/viscA4ReMax |
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ELSE |
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viscA4Re_max=0. _d 0 |
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ENDIF |
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|
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calcLeith= |
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& (viscC2leith.NE.0.) |
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& .OR.(viscC2leithD.NE.0.) |
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& .OR.(viscC4leith.NE.0.) |
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& .OR.(viscC4leithD.NE.0.) |
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|
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calcSmag= |
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& (viscC2smag.NE.0.) |
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& .OR.(viscC4smag.NE.0.) |
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|
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IF (calcSmag) THEN |
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smag2fac=(viscC2smag/pi)**2 |
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smag4fac=0.125 _d 0*(viscC4smag/pi)**2 |
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ELSE |
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smag2fac=0. _d 0 |
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smag4fac=0. _d 0 |
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ENDIF |
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|
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IF (calcLeith) THEN |
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IF (useFullLeith) THEN |
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leith2fac =(viscC2leith /pi)**6 |
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leithD2fac=(viscC2leithD/pi)**6 |
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leith4fac =0.015625 _d 0*(viscC4leith /pi)**6 |
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leithD4fac=0.015625 _d 0*(viscC4leithD/pi)**6 |
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ELSE |
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leith2fac =(viscC2leith /pi)**3 |
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leithD2fac=(viscC2leithD/pi)**3 |
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leith4fac =0.125 _d 0*(viscC4leith /pi)**3 |
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leithD4fac=0.125 _d 0*(viscC4leithD/pi)**3 |
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ENDIF |
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ELSE |
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leith2fac=0. _d 0 |
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leith4fac=0. _d 0 |
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leithD2fac=0. _d 0 |
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leithD4fac=0. _d 0 |
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ENDIF |
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|
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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C- viscosity arrays have been initialised everywhere before calling this S/R |
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c viscAh_D(i,j) = viscAhD |
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c viscAh_Z(i,j) = viscAhZ |
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c viscA4_D(i,j) = viscA4D |
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c viscA4_Z(i,j) = viscA4Z |
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|
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visca4_zsmg(i,j) = 0. _d 0 |
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viscah_zsmg(i,j) = 0. _d 0 |
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|
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viscAh_Dlth(i,j) = 0. _d 0 |
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viscA4_Dlth(i,j) = 0. _d 0 |
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viscAh_DlthD(i,j)= 0. _d 0 |
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viscA4_DlthD(i,j)= 0. _d 0 |
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|
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viscAh_DSmg(i,j) = 0. _d 0 |
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viscA4_DSmg(i,j) = 0. _d 0 |
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|
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viscAh_ZLth(i,j) = 0. _d 0 |
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viscA4_ZLth(i,j) = 0. _d 0 |
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viscAh_ZLthD(i,j)= 0. _d 0 |
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viscA4_ZLthD(i,j)= 0. _d 0 |
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ENDDO |
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ENDDO |
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|
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C- Initialise to zero gradient of vorticity & divergence: |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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divDx(i,j) = 0. |
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divDy(i,j) = 0. |
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vrtDx(i,j) = 0. |
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vrtDy(i,j) = 0. |
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ENDDO |
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ENDDO |
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|
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IF ( calcLeith ) THEN |
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C-- horizontal gradient of horizontal divergence: |
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C- gradient in x direction: |
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IF (useCubedSphereExchange) THEN |
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C to compute d/dx(hDiv), fill corners with appropriate values: |
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CALL FILL_CS_CORNER_TR_RL( 1, .FALSE., |
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& hDiv, bi,bj, myThid ) |
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ENDIF |
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DO j=2-OLy,sNy+OLy-1 |
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DO i=2-OLx,sNx+OLx-1 |
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divDx(i,j) = (hDiv(i,j)-hDiv(i-1,j))*recip_dxC(i,j,bi,bj) |
266 |
ENDDO |
267 |
ENDDO |
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|
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C- gradient in y direction: |
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IF (useCubedSphereExchange) THEN |
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C to compute d/dy(hDiv), fill corners with appropriate values: |
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CALL FILL_CS_CORNER_TR_RL( 2, .FALSE., |
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& hDiv, bi,bj, myThid ) |
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ENDIF |
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DO j=2-OLy,sNy+OLy-1 |
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DO i=2-OLx,sNx+OLx-1 |
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divDy(i,j) = (hDiv(i,j)-hDiv(i,j-1))*recip_dyC(i,j,bi,bj) |
278 |
ENDDO |
279 |
ENDDO |
280 |
|
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C-- horizontal gradient of vertical vorticity: |
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C- gradient in x direction: |
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DO j=2-OLy,sNy+OLy |
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DO i=2-OLx,sNx+OLx-1 |
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vrtDx(i,j) = (vort3(i+1,j)-vort3(i,j)) |
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& *recip_dxG(i,j,bi,bj) |
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& *maskS(i,j,k,bi,bj) |
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#ifdef ALLOW_OBCS |
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& *maskInS(i,j,bi,bj) |
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#endif |
291 |
ENDDO |
292 |
ENDDO |
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C- gradient in y direction: |
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DO j=2-OLy,sNy+OLy-1 |
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DO i=2-OLx,sNx+OLx |
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vrtDy(i,j) = (vort3(i,j+1)-vort3(i,j)) |
297 |
& *recip_dyG(i,j,bi,bj) |
298 |
& *maskW(i,j,k,bi,bj) |
299 |
#ifdef ALLOW_OBCS |
300 |
& *maskInW(i,j,bi,bj) |
301 |
#endif |
302 |
ENDDO |
303 |
ENDDO |
304 |
|
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C-- end if calcLeith |
306 |
ENDIF |
307 |
|
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DO j=2-OLy,sNy+OLy-1 |
309 |
DO i=2-OLx,sNx+OLx-1 |
310 |
CCCCCCCCCCCCCCC Divergence Point CalculationsCCCCCCCCCCCCCCCCCCCC |
311 |
|
312 |
#ifdef ALLOW_AUTODIFF_TAMC |
313 |
# ifndef AUTODIFF_DISABLE_LEITH |
314 |
lockey_2 = i+olx + (sNx+2*olx)*(j+oly-1) |
315 |
& + (sNx+2*olx)*(sNy+2*oly)*(lockey_1-1) |
316 |
CADJ STORE viscA4_ZSmg(i,j) |
317 |
CADJ & = comlev1_mom_ijk_loop , key=lockey_2, byte=isbyte |
318 |
CADJ STORE viscAh_ZSmg(i,j) |
319 |
CADJ & = comlev1_mom_ijk_loop , key=lockey_2, byte=isbyte |
320 |
# endif |
321 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
322 |
|
323 |
C These are (powers of) length scales |
324 |
L2 = L2_D(i,j,bi,bj) |
325 |
L2rdt = 0.25 _d 0*recip_dt*L2 |
326 |
L3 = L3_D(i,j,bi,bj) |
327 |
L4rdt = L4rdt_D(i,j,bi,bj) |
328 |
L5 = (L2*L3) |
329 |
|
330 |
#ifndef AUTODIFF_DISABLE_REYNOLDS_SCALE |
331 |
C Velocity Reynolds Scale |
332 |
IF ( viscAhRe_max.GT.0. .AND. KE(i,j).GT.0. ) THEN |
333 |
Uscl=SQRT(KE(i,j)*L2)*viscAhRe_max |
334 |
ELSE |
335 |
Uscl=0. |
336 |
ENDIF |
337 |
IF ( viscA4Re_max.GT.0. .AND. KE(i,j).GT.0. ) THEN |
338 |
U4scl=SQRT(KE(i,j))*L3*viscA4Re_max |
339 |
ELSE |
340 |
U4scl=0. |
341 |
ENDIF |
342 |
#endif /* ndef AUTODIFF_DISABLE_REYNOLDS_SCALE */ |
343 |
|
344 |
#ifndef AUTODIFF_DISABLE_LEITH |
345 |
IF (useFullLeith.AND.calcLeith) THEN |
346 |
C This is the vector magnitude of the vorticity gradient squared |
347 |
grdVrt=0.25 _d 0*( (vrtDx(i,j+1)*vrtDx(i,j+1) |
348 |
& + vrtDx(i,j)*vrtDx(i,j) ) |
349 |
& + (vrtDy(i+1,j)*vrtDy(i+1,j) |
350 |
& + vrtDy(i,j)*vrtDy(i,j) ) ) |
351 |
|
352 |
C This is the vector magnitude of grad (div.v) squared |
353 |
C Using it in Leith serves to damp instabilities in w. |
354 |
grdDiv=0.25 _d 0*( (divDx(i+1,j)*divDx(i+1,j) |
355 |
& + divDx(i,j)*divDx(i,j) ) |
356 |
& + (divDy(i,j+1)*divDy(i,j+1) |
357 |
& + divDy(i,j)*divDy(i,j) ) ) |
358 |
|
359 |
viscAh_DLth(i,j)= |
360 |
& SQRT(leith2fac*grdVrt+leithD2fac*grdDiv)*L3 |
361 |
viscA4_DLth(i,j)= |
362 |
& SQRT(leith4fac*grdVrt+leithD4fac*grdDiv)*L5 |
363 |
viscAh_DLthd(i,j)= |
364 |
& SQRT(leithD2fac*grdDiv)*L3 |
365 |
viscA4_DLthd(i,j)= |
366 |
& SQRT(leithD4fac*grdDiv)*L5 |
367 |
ELSEIF (calcLeith) THEN |
368 |
C but this approximation will work on cube (and differs by as much as 4X) |
369 |
grdVrt=MAX( ABS(vrtDx(i,j+1)), ABS(vrtDx(i,j)) ) |
370 |
grdVrt=MAX( grdVrt, ABS(vrtDy(i+1,j)) ) |
371 |
grdVrt=MAX( grdVrt, ABS(vrtDy(i,j)) ) |
372 |
|
373 |
C This approximation is good to the same order as above... |
374 |
grdDiv=MAX( ABS(divDx(i+1,j)), ABS(divDx(i,j)) ) |
375 |
grdDiv=MAX( grdDiv, ABS(divDy(i,j+1)) ) |
376 |
grdDiv=MAX( grdDiv, ABS(divDy(i,j)) ) |
377 |
|
378 |
viscAh_Dlth(i,j)=(leith2fac*grdVrt+(leithD2fac*grdDiv))*L3 |
379 |
viscA4_Dlth(i,j)=(leith4fac*grdVrt+(leithD4fac*grdDiv))*L5 |
380 |
viscAh_DlthD(i,j)=((leithD2fac*grdDiv))*L3 |
381 |
viscA4_DlthD(i,j)=((leithD4fac*grdDiv))*L5 |
382 |
ELSE |
383 |
viscAh_Dlth(i,j)=0. _d 0 |
384 |
viscA4_Dlth(i,j)=0. _d 0 |
385 |
viscAh_DlthD(i,j)=0. _d 0 |
386 |
viscA4_DlthD(i,j)=0. _d 0 |
387 |
ENDIF |
388 |
|
389 |
IF (calcSmag) THEN |
390 |
viscAh_DSmg(i,j)=L2 |
391 |
& *SQRT(tension(i,j)**2 |
392 |
& +0.25 _d 0*(strain(i+1, j )**2+strain( i ,j+1)**2 |
393 |
& +strain(i , j )**2+strain(i+1,j+1)**2)) |
394 |
viscA4_DSmg(i,j)=smag4fac*L2*viscAh_DSmg(i,j) |
395 |
viscAh_DSmg(i,j)=smag2fac*viscAh_DSmg(i,j) |
396 |
ELSE |
397 |
viscAh_DSmg(i,j)=0. _d 0 |
398 |
viscA4_DSmg(i,j)=0. _d 0 |
399 |
ENDIF |
400 |
#endif /* AUTODIFF_DISABLE_LEITH */ |
401 |
|
402 |
C Harmonic on Div.u points |
403 |
Alin=viscAhD+viscAhGrid*L2rdt |
404 |
& +viscAh_DLth(i,j)+viscAh_DSmg(i,j) |
405 |
#ifdef ALLOW_3D_VISCAH |
406 |
& +viscAhDfld(i,j,k,bi,bj) |
407 |
#ifdef ALLOW_AUTODIFF |
408 |
& *viscFacAdj |
409 |
#endif |
410 |
#endif |
411 |
viscAh_DMin(i,j)=MAX(viscAhGridMin*L2rdt,Uscl) |
412 |
viscAh_D(i,j)=MAX(viscAh_DMin(i,j),Alin) |
413 |
viscAh_DMax(i,j)=MIN(viscAhGridMax*L2rdt,viscAhMax) |
414 |
viscAh_D(i,j)=MIN(viscAh_DMax(i,j),viscAh_D(i,j)) |
415 |
|
416 |
C BiHarmonic on Div.u points |
417 |
Alin=viscA4D+viscA4Grid*L4rdt |
418 |
& +viscA4_DLth(i,j)+viscA4_DSmg(i,j) |
419 |
#ifdef ALLOW_3D_VISCA4 |
420 |
& +viscA4Dfld(i,j,k,bi,bj) |
421 |
#ifdef ALLOW_AUTODIFF |
422 |
& *viscFacAdj |
423 |
#endif |
424 |
#endif |
425 |
viscA4_DMin(i,j)=MAX(viscA4GridMin*L4rdt,U4scl) |
426 |
viscA4_D(i,j)=MAX(viscA4_DMin(i,j),Alin) |
427 |
viscA4_DMax(i,j)=MIN(viscA4GridMax*L4rdt,viscA4Max) |
428 |
viscA4_D(i,j)=MIN(viscA4_DMax(i,j),viscA4_D(i,j)) |
429 |
|
430 |
CCCCCCCCCCCCC Vorticity Point CalculationsCCCCCCCCCCCCCCCCCC |
431 |
C These are (powers of) length scales |
432 |
L2 = L2_Z(i,j,bi,bj) |
433 |
L2rdt = 0.25 _d 0*recip_dt*L2 |
434 |
L3 = L3_Z(i,j,bi,bj) |
435 |
L4rdt = L4rdt_Z(i,j,bi,bj) |
436 |
L5 = (L2*L3) |
437 |
|
438 |
#ifndef AUTODIFF_DISABLE_REYNOLDS_SCALE |
439 |
C Velocity Reynolds Scale (Pb here at CS-grid corners !) |
440 |
IF ( viscAhRe_max.GT.0. .OR. viscA4Re_max.GT.0. ) THEN |
441 |
keZpt=0.25 _d 0*( (KE(i,j)+KE(i-1,j-1)) |
442 |
& +(KE(i-1,j)+KE(i,j-1)) ) |
443 |
IF ( keZpt.GT.0. ) THEN |
444 |
Uscl = SQRT(keZpt*L2)*viscAhRe_max |
445 |
U4scl= SQRT(keZpt)*L3*viscA4Re_max |
446 |
ELSE |
447 |
Uscl =0. |
448 |
U4scl=0. |
449 |
ENDIF |
450 |
ELSE |
451 |
Uscl =0. |
452 |
U4scl=0. |
453 |
ENDIF |
454 |
#endif /* ndef AUTODIFF_DISABLE_REYNOLDS_SCALE */ |
455 |
|
456 |
#ifndef AUTODIFF_DISABLE_LEITH |
457 |
C This is the vector magnitude of the vorticity gradient squared |
458 |
IF (useFullLeith.AND.calcLeith) THEN |
459 |
grdVrt=0.25 _d 0*( (vrtDx(i-1,j)*vrtDx(i-1,j) |
460 |
& + vrtDx(i,j)*vrtDx(i,j) ) |
461 |
& + (vrtDy(i,j-1)*vrtDy(i,j-1) |
462 |
& + vrtDy(i,j)*vrtDy(i,j) ) ) |
463 |
|
464 |
C This is the vector magnitude of grad(div.v) squared |
465 |
grdDiv=0.25 _d 0*( (divDx(i,j-1)*divDx(i,j-1) |
466 |
& + divDx(i,j)*divDx(i,j) ) |
467 |
& + (divDy(i-1,j)*divDy(i-1,j) |
468 |
& + divDy(i,j)*divDy(i,j) ) ) |
469 |
|
470 |
viscAh_ZLth(i,j)= |
471 |
& SQRT(leith2fac*grdVrt+leithD2fac*grdDiv)*L3 |
472 |
viscA4_ZLth(i,j)= |
473 |
& SQRT(leith4fac*grdVrt+leithD4fac*grdDiv)*L5 |
474 |
viscAh_ZLthD(i,j)= |
475 |
& SQRT(leithD2fac*grdDiv)*L3 |
476 |
viscA4_ZLthD(i,j)= |
477 |
& SQRT(leithD4fac*grdDiv)*L5 |
478 |
|
479 |
ELSEIF (calcLeith) THEN |
480 |
C but this approximation will work on cube (and differs by 4X) |
481 |
grdVrt=MAX( ABS(vrtDx(i-1,j)), ABS(vrtDx(i,j)) ) |
482 |
grdVrt=MAX( grdVrt, ABS(vrtDy(i,j-1)) ) |
483 |
grdVrt=MAX( grdVrt, ABS(vrtDy(i,j)) ) |
484 |
|
485 |
grdDiv=MAX( ABS(divDx(i,j)), ABS(divDx(i,j-1)) ) |
486 |
grdDiv=MAX( grdDiv, ABS(divDy(i,j)) ) |
487 |
grdDiv=MAX( grdDiv, ABS(divDy(i-1,j)) ) |
488 |
|
489 |
viscAh_ZLth(i,j)=(leith2fac*grdVrt+(leithD2fac*grdDiv))*L3 |
490 |
viscA4_ZLth(i,j)=(leith4fac*grdVrt+(leithD4fac*grdDiv))*L5 |
491 |
viscAh_ZLthD(i,j)=(leithD2fac*grdDiv)*L3 |
492 |
viscA4_ZLthD(i,j)=(leithD4fac*grdDiv)*L5 |
493 |
ELSE |
494 |
viscAh_ZLth(i,j)=0. _d 0 |
495 |
viscA4_ZLth(i,j)=0. _d 0 |
496 |
viscAh_ZLthD(i,j)=0. _d 0 |
497 |
viscA4_ZLthD(i,j)=0. _d 0 |
498 |
ENDIF |
499 |
|
500 |
IF (calcSmag) THEN |
501 |
viscAh_ZSmg(i,j)=L2 |
502 |
& *SQRT(strain(i,j)**2 |
503 |
& +0.25 _d 0*(tension( i , j )**2+tension( i ,j-1)**2 |
504 |
& +tension(i-1, j )**2+tension(i-1,j-1)**2)) |
505 |
viscA4_ZSmg(i,j)=smag4fac*L2*viscAh_ZSmg(i,j) |
506 |
viscAh_ZSmg(i,j)=smag2fac*viscAh_ZSmg(i,j) |
507 |
ENDIF |
508 |
#endif /* AUTODIFF_DISABLE_LEITH */ |
509 |
|
510 |
C Harmonic on Zeta points |
511 |
Alin=viscAhZ+viscAhGrid*L2rdt |
512 |
& +viscAh_ZLth(i,j)+viscAh_ZSmg(i,j) |
513 |
#ifdef ALLOW_3D_VISCAH |
514 |
& +viscAhZfld(i,j,k,bi,bj) |
515 |
#endif |
516 |
viscAh_ZMin(i,j)=MAX(viscAhGridMin*L2rdt,Uscl) |
517 |
viscAh_Z(i,j)=MAX(viscAh_ZMin(i,j),Alin) |
518 |
viscAh_ZMax(i,j)=MIN(viscAhGridMax*L2rdt,viscAhMax) |
519 |
viscAh_Z(i,j)=MIN(viscAh_ZMax(i,j),viscAh_Z(i,j)) |
520 |
|
521 |
C BiHarmonic on Zeta points |
522 |
Alin=viscA4Z+viscA4Grid*L4rdt |
523 |
& +viscA4_ZLth(i,j)+viscA4_ZSmg(i,j) |
524 |
#ifdef ALLOW_3D_VISCA4 |
525 |
& +viscA4Zfld(i,j,k,bi,bj) |
526 |
#endif |
527 |
viscA4_ZMin(i,j)=MAX(viscA4GridMin*L4rdt,U4scl) |
528 |
viscA4_Z(i,j)=MAX(viscA4_ZMin(i,j),Alin) |
529 |
viscA4_ZMax(i,j)=MIN(viscA4GridMax*L4rdt,viscA4Max) |
530 |
viscA4_Z(i,j)=MIN(viscA4_ZMax(i,j),viscA4_Z(i,j)) |
531 |
ENDDO |
532 |
ENDDO |
533 |
|
534 |
#ifdef ALLOW_NONHYDROSTATIC |
535 |
IF ( nonHydrostatic ) THEN |
536 |
C-- Pass Viscosities to calc_gw (if constant, not necessary) |
537 |
|
538 |
IF ( k.LT.Nr ) THEN |
539 |
C Prepare for next level (next call) |
540 |
DO j=1-OLy,sNy+OLy |
541 |
DO i=1-OLx,sNx+OLx |
542 |
viscAh_W(i,j,k+1,bi,bj) = halfRL*viscAh_D(i,j) |
543 |
viscA4_W(i,j,k+1,bi,bj) = halfRL*viscA4_D(i,j) |
544 |
ENDDO |
545 |
ENDDO |
546 |
ENDIF |
547 |
|
548 |
shiftAh = viscAhW - viscAhD |
549 |
shiftA4 = viscA4W - viscA4D |
550 |
IF ( k.EQ.1 ) THEN |
551 |
C These values dont get used |
552 |
DO j=1-OLy,sNy+OLy |
553 |
DO i=1-OLx,sNx+OLx |
554 |
viscAh_W(i,j,k,bi,bj) = shiftAh + viscAh_D(i,j) |
555 |
viscA4_W(i,j,k,bi,bj) = shiftA4 + viscA4_D(i,j) |
556 |
ENDDO |
557 |
ENDDO |
558 |
ELSE |
559 |
C Note that previous call of this function has already added half. |
560 |
DO j=1-OLy,sNy+OLy |
561 |
DO i=1-OLx,sNx+OLx |
562 |
viscAh_W(i,j,k,bi,bj) = shiftAh + viscAh_W(i,j,k,bi,bj) |
563 |
& + halfRL*viscAh_D(i,j) |
564 |
viscA4_W(i,j,k,bi,bj) = shiftA4 + viscA4_W(i,j,k,bi,bj) |
565 |
& + halfRL*viscA4_D(i,j) |
566 |
ENDDO |
567 |
ENDDO |
568 |
ENDIF |
569 |
|
570 |
ENDIF |
571 |
#endif /* ALLOW_NONHYDROSTATIC */ |
572 |
|
573 |
c ELSE |
574 |
C---- use constant viscosity (useVariableVisc=F): |
575 |
c DO j=1-OLy,sNy+OLy |
576 |
c DO i=1-OLx,sNx+OLx |
577 |
c viscAh_D(i,j) = viscAhD |
578 |
c viscAh_Z(i,j) = viscAhZ |
579 |
c viscA4_D(i,j) = viscA4D |
580 |
c viscA4_Z(i,j) = viscA4Z |
581 |
c ENDDO |
582 |
c ENDDO |
583 |
C---- variable/constant viscosity : end if/else block |
584 |
c ENDIF |
585 |
|
586 |
#ifdef ALLOW_DIAGNOSTICS |
587 |
IF (useDiagnostics) THEN |
588 |
CALL DIAGNOSTICS_FILL(viscAh_D,'VISCAHD ',k,1,2,bi,bj,myThid) |
589 |
CALL DIAGNOSTICS_FILL(viscA4_D,'VISCA4D ',k,1,2,bi,bj,myThid) |
590 |
CALL DIAGNOSTICS_FILL(viscAh_Z,'VISCAHZ ',k,1,2,bi,bj,myThid) |
591 |
CALL DIAGNOSTICS_FILL(viscA4_Z,'VISCA4Z ',k,1,2,bi,bj,myThid) |
592 |
|
593 |
CALL DIAGNOSTICS_FILL(viscAh_DMax,'VAHDMAX ',k,1,2,bi,bj,myThid) |
594 |
CALL DIAGNOSTICS_FILL(viscA4_DMax,'VA4DMAX ',k,1,2,bi,bj,myThid) |
595 |
CALL DIAGNOSTICS_FILL(viscAh_ZMax,'VAHZMAX ',k,1,2,bi,bj,myThid) |
596 |
CALL DIAGNOSTICS_FILL(viscA4_ZMax,'VA4ZMAX ',k,1,2,bi,bj,myThid) |
597 |
|
598 |
CALL DIAGNOSTICS_FILL(viscAh_DMin,'VAHDMIN ',k,1,2,bi,bj,myThid) |
599 |
CALL DIAGNOSTICS_FILL(viscA4_DMin,'VA4DMIN ',k,1,2,bi,bj,myThid) |
600 |
CALL DIAGNOSTICS_FILL(viscAh_ZMin,'VAHZMIN ',k,1,2,bi,bj,myThid) |
601 |
CALL DIAGNOSTICS_FILL(viscA4_ZMin,'VA4ZMIN ',k,1,2,bi,bj,myThid) |
602 |
|
603 |
CALL DIAGNOSTICS_FILL(viscAh_DLth,'VAHDLTH ',k,1,2,bi,bj,myThid) |
604 |
CALL DIAGNOSTICS_FILL(viscA4_DLth,'VA4DLTH ',k,1,2,bi,bj,myThid) |
605 |
CALL DIAGNOSTICS_FILL(viscAh_ZLth,'VAHZLTH ',k,1,2,bi,bj,myThid) |
606 |
CALL DIAGNOSTICS_FILL(viscA4_ZLth,'VA4ZLTH ',k,1,2,bi,bj,myThid) |
607 |
|
608 |
CALL DIAGNOSTICS_FILL(viscAh_DLthD,'VAHDLTHD', |
609 |
& k,1,2,bi,bj,myThid) |
610 |
CALL DIAGNOSTICS_FILL(viscA4_DLthD,'VA4DLTHD', |
611 |
& k,1,2,bi,bj,myThid) |
612 |
CALL DIAGNOSTICS_FILL(viscAh_ZLthD,'VAHZLTHD', |
613 |
& k,1,2,bi,bj,myThid) |
614 |
CALL DIAGNOSTICS_FILL(viscA4_ZLthD,'VA4ZLTHD', |
615 |
& k,1,2,bi,bj,myThid) |
616 |
|
617 |
CALL DIAGNOSTICS_FILL(viscAh_DSmg,'VAHDSMAG',k,1,2,bi,bj,myThid) |
618 |
CALL DIAGNOSTICS_FILL(viscA4_DSmg,'VA4DSMAG',k,1,2,bi,bj,myThid) |
619 |
CALL DIAGNOSTICS_FILL(viscAh_ZSmg,'VAHZSMAG',k,1,2,bi,bj,myThid) |
620 |
CALL DIAGNOSTICS_FILL(viscA4_ZSmg,'VA4ZSMAG',k,1,2,bi,bj,myThid) |
621 |
ENDIF |
622 |
#endif |
623 |
|
624 |
RETURN |
625 |
END |