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baylor |
1.11 |
C $Header: /u/gcmpack/MITgcm/pkg/mom_common/mom_calc_visc.F,v 1.10 2005/09/22 00:21:23 jmc Exp $ |
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baylor |
1.1 |
C $Name: $ |
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#include "MOM_COMMON_OPTIONS.h" |
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baylor |
1.5 |
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baylor |
1.1 |
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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O harmonic,biharmonic,useVariableViscosity, |
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baylor |
1.5 |
I hDiv,vort3,tension,strain,KE,hfacZ, |
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baylor |
1.1 |
I myThid) |
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IMPLICIT NONE |
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baylor |
1.5 |
C |
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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**2*grad(Vort3)**2 |
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C +viscC2leithD**2*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**2*grad(Vort3)**2 |
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C +viscC4leithD**2*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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baylor |
1.9 |
C harmonic viscosity>sqrt(2*KE)*L/viscAhRemax |
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baylor |
1.5 |
C |
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C viscA4Remax is min value for grid point biharmonic Reynolds num |
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baylor |
1.9 |
C biharmonic viscosity>sqrt(2*KE)*L**3/8/viscA4Remax |
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baylor |
1.5 |
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*viscAhgridmax*L**2/deltaT |
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C biharmonic viscosity>viscA4gridmax*L**4/32/deltaT (approx) |
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C |
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C RECOMMENDED VALUES |
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C viscC2Leith=? |
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C viscC2LeithD=? |
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C viscC4Leith=? |
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C viscC4LeithD=? |
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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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baylor |
1.9 |
C viscAhRemax>=1, (<2 suppresses a computational mode) |
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C viscA4Remax>=1, (<2 suppresses a computational mode) |
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baylor |
1.5 |
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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baylor |
1.1 |
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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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C == Routine arguments == |
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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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LOGICAL harmonic,biharmonic,useVariableViscosity |
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C == Local variables == |
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INTEGER I,J |
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baylor |
1.5 |
_RL smag2fac, smag4fac |
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baylor |
1.6 |
_RL viscAhRe_max, viscA4Re_max |
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baylor |
1.5 |
_RL Alin,Alinmin,grdVrt,grdDiv |
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baylor |
1.1 |
_RL recip_dt,L2,L3,L4,L5,L2rdt,L4rdt |
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baylor |
1.5 |
_RL Uscl,U4scl |
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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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baylor |
1.1 |
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useVariableViscosity= |
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& (viscAhGrid.NE.0.) |
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& .OR.(viscA4Grid.NE.0.) |
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& .OR.(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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& .OR.(viscC2smag.NE.0.) |
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& .OR.(viscC4smag.NE.0.) |
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harmonic= |
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& (viscAh.NE.0.) |
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& .OR.(viscAhD.NE.0.) |
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& .OR.(viscAhZ.NE.0.) |
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& .OR.(viscAhGrid.NE.0.) |
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& .OR.(viscC2leith.NE.0.) |
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& .OR.(viscC2leithD.NE.0.) |
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& .OR.(viscC2smag.NE.0.) |
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baylor |
1.9 |
IF ((harmonic).and.(viscAhremax.ne.0.)) THEN |
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jmc |
1.10 |
viscAhre_max=sqrt(2. _d 0)/viscAhRemax |
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baylor |
1.9 |
ELSE |
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jmc |
1.10 |
viscAhre_max=0. _d 0 |
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baylor |
1.9 |
ENDIF |
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baylor |
1.5 |
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baylor |
1.1 |
biharmonic= |
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& (viscA4.NE.0.) |
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& .OR.(viscA4D.NE.0.) |
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& .OR.(viscA4Z.NE.0.) |
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& .OR.(viscA4Grid.NE.0.) |
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& .OR.(viscC4leith.NE.0.) |
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& .OR.(viscC4leithD.NE.0.) |
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& .OR.(viscC4smag.NE.0.) |
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baylor |
1.9 |
IF ((biharmonic).and.(viscA4remax.ne.0.)) THEN |
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jmc |
1.10 |
viscA4re_max=0.125 _d 0*sqrt(2. _d 0)/viscA4Remax |
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baylor |
1.9 |
ELSE |
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jmc |
1.10 |
viscA4re_max=0. _d 0 |
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baylor |
1.9 |
ENDIF |
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baylor |
1.5 |
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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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calcsmag= |
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& (viscC2smag.NE.0.) |
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& .OR.(viscC4smag.NE.0.) |
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baylor |
1.1 |
IF (deltaTmom.NE.0.) THEN |
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jmc |
1.10 |
recip_dt=1. _d 0/deltaTmom |
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baylor |
1.1 |
ELSE |
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jmc |
1.10 |
recip_dt=0. _d 0 |
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baylor |
1.1 |
ENDIF |
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baylor |
1.5 |
IF (calcsmag) THEN |
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smag2fac=(viscC2smag/pi)**2 |
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jmc |
1.10 |
smag4fac=0.125 _d 0*(viscC4smag/pi)**2 |
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baylor |
1.9 |
ELSE |
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jmc |
1.10 |
smag2fac=0. _d 0 |
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smag4fac=0. _d 0 |
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baylor |
1.5 |
ENDIF |
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baylor |
1.1 |
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C - Viscosity |
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IF (useVariableViscosity) THEN |
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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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CCCCCCCCCCCCCCC Divergence Point CalculationsCCCCCCCCCCCCCCCCCCCC |
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baylor |
1.5 |
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baylor |
1.1 |
C These are (powers of) length scales |
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baylor |
1.11 |
IF (useAreaViscLength) THEN |
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L2=Ra(i,j,bi,bj) |
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ELSE |
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L2=2. _d 0/((recip_DXF(I,J,bi,bj)**2+recip_DYF(I,J,bi,bj)**2)) |
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ENDIF |
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baylor |
1.1 |
L3=(L2**1.5) |
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L4=(L2**2) |
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baylor |
1.5 |
L5=(L2**2.5) |
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jmc |
1.10 |
L2rdt=0.25 _d 0*recip_dt*L2 |
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baylor |
1.5 |
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baylor |
1.11 |
IF (useAreaViscLength) THEN |
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L4rdt=0.125 _d 0*recip_dt*Ra(i,j,bi,bj)**2 |
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ELSE |
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L4rdt=recip_dt/( 6. _d 0*(recip_DXF(I,J,bi,bj)**4 |
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jmc |
1.10 |
& +recip_DYF(I,J,bi,bj)**4) |
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& +8. _d 0*((recip_DXF(I,J,bi,bj) |
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& *recip_DYF(I,J,bi,bj))**2) ) |
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baylor |
1.11 |
ENDIF |
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baylor |
1.1 |
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baylor |
1.5 |
C Velocity Reynolds Scale |
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baylor |
1.9 |
Uscl=sqrt(KE(i,j)*L2)*viscAhRe_max |
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U4scl=sqrt(KE(i,j))*L3*viscA4Re_max |
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baylor |
1.5 |
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IF (useFullLeith.and.calcleith) THEN |
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baylor |
1.1 |
C This is the vector magnitude of the vorticity gradient squared |
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jmc |
1.10 |
grdVrt=0.25 _d 0*( |
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baylor |
1.1 |
& ((vort3(i+1,j)-vort3(i,j))*recip_DXG(i,j,bi,bj))**2 |
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& +((vort3(i,j+1)-vort3(i,j))*recip_DYG(i,j,bi,bj))**2 |
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baylor |
1.8 |
& +((vort3(i+1,j+1)-vort3(i,j+1)) |
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& *recip_DXG(i,j+1,bi,bj))**2 |
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& +((vort3(i+1,j+1)-vort3(i+1,j)) |
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& *recip_DYG(i+1,j,bi,bj))**2) |
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baylor |
1.1 |
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C This is the vector magnitude of grad (div.v) squared |
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C Using it in Leith serves to damp instabilities in w. |
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jmc |
1.10 |
grdDiv=0.25 _d 0*( |
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baylor |
1.5 |
& ((hDiv(i+1,j)-hDiv(i,j))*recip_DXC(i+1,j,bi,bj))**2 |
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& +((hDiv(i,j+1)-hDiv(i,j))*recip_DYC(i,j+1,bi,bj))**2 |
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& +((hDiv(i,j)-hDiv(i-1,j))*recip_DXC(i,j,bi,bj))**2 |
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& +((hDiv(i,j)-hDiv(i,j-1))*recip_DYC(i,j,bi,bj))**2) |
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viscAh_DLth(i,j)= |
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& sqrt(viscC2leith**2*grdVrt+viscC2leithD**2*grdDiv)*L3 |
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jmc |
1.10 |
viscA4_DLth(i,j)=0.125 _d 0* |
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baylor |
1.5 |
& sqrt(viscC4leith**2*grdVrt+viscC4leithD**2*grdDiv)*L5 |
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viscAh_DLthd(i,j)= |
| 238 |
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& sqrt(viscC2leithD**2*grdDiv)*L3 |
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jmc |
1.10 |
viscA4_DLthd(i,j)=0.125 _d 0* |
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baylor |
1.5 |
& sqrt(viscC4leithD**2*grdDiv)*L5 |
| 241 |
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ELSEIF (calcleith) THEN |
| 242 |
baylor |
1.1 |
C but this approximation will work on cube |
| 243 |
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c (and differs by as much as 4X) |
| 244 |
baylor |
1.5 |
grdVrt=abs((vort3(i+1,j)-vort3(i,j))*recip_DXG(i,j,bi,bj)) |
| 245 |
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grdVrt=max(grdVrt, |
| 246 |
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& abs((vort3(i,j+1)-vort3(i,j))*recip_DYG(i,j,bi,bj))) |
| 247 |
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grdVrt=max(grdVrt, |
| 248 |
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& abs((vort3(i+1,j+1)-vort3(i,j+1))*recip_DXG(i,j+1,bi,bj))) |
| 249 |
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grdVrt=max(grdVrt, |
| 250 |
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& abs((vort3(i+1,j+1)-vort3(i+1,j))*recip_DYG(i+1,j,bi,bj))) |
| 251 |
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| 252 |
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grdDiv=abs((hDiv(i+1,j)-hDiv(i,j))*recip_DXC(i+1,j,bi,bj)) |
| 253 |
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grdDiv=max(grdDiv, |
| 254 |
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& abs((hDiv(i,j+1)-hDiv(i,j))*recip_DYC(i,j+1,bi,bj))) |
| 255 |
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grdDiv=max(grdDiv, |
| 256 |
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& abs((hDiv(i,j)-hDiv(i-1,j))*recip_DXC(i,j,bi,bj))) |
| 257 |
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grdDiv=max(grdDiv, |
| 258 |
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& abs((hDiv(i,j)-hDiv(i,j-1))*recip_DYC(i,j,bi,bj))) |
| 259 |
baylor |
1.1 |
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| 260 |
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c This approximation is good to the same order as above... |
| 261 |
baylor |
1.5 |
viscAh_Dlth(i,j)= |
| 262 |
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& (viscC2leith*grdVrt+(viscC2leithD*grdDiv))*L3 |
| 263 |
jmc |
1.10 |
viscA4_Dlth(i,j)=0.125 _d 0* |
| 264 |
baylor |
1.5 |
& (viscC4leith*grdVrt+(viscC4leithD*grdDiv))*L5 |
| 265 |
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viscAh_DlthD(i,j)= |
| 266 |
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& ((viscC2leithD*grdDiv))*L3 |
| 267 |
jmc |
1.10 |
viscA4_DlthD(i,j)=0.125 _d 0* |
| 268 |
baylor |
1.5 |
& ((viscC4leithD*grdDiv))*L5 |
| 269 |
baylor |
1.1 |
ELSE |
| 270 |
jmc |
1.10 |
viscAh_Dlth(i,j)=0. _d 0 |
| 271 |
|
|
viscA4_Dlth(i,j)=0. _d 0 |
| 272 |
|
|
viscAh_DlthD(i,j)=0. _d 0 |
| 273 |
|
|
viscA4_DlthD(i,j)=0. _d 0 |
| 274 |
baylor |
1.1 |
ENDIF |
| 275 |
|
|
|
| 276 |
baylor |
1.5 |
IF (calcsmag) THEN |
| 277 |
|
|
viscAh_DSmg(i,j)=L2 |
| 278 |
|
|
& *sqrt(tension(i,j)**2 |
| 279 |
jmc |
1.10 |
& +0.25 _d 0*(strain(i+1, j )**2+strain( i ,j+1)**2 |
| 280 |
|
|
& +strain(i , j )**2+strain(i+1,j+1)**2)) |
| 281 |
baylor |
1.5 |
viscA4_DSmg(i,j)=smag4fac*L2*viscAh_DSmg(i,j) |
| 282 |
|
|
viscAh_DSmg(i,j)=smag2fac*viscAh_DSmg(i,j) |
| 283 |
baylor |
1.1 |
ELSE |
| 284 |
jmc |
1.10 |
viscAh_DSmg(i,j)=0. _d 0 |
| 285 |
|
|
viscA4_DSmg(i,j)=0. _d 0 |
| 286 |
baylor |
1.1 |
ENDIF |
| 287 |
|
|
|
| 288 |
|
|
C Harmonic on Div.u points |
| 289 |
baylor |
1.5 |
Alin=viscAhD+viscAhGrid*L2rdt |
| 290 |
|
|
& +viscAh_DLth(i,j)+viscAh_DSmg(i,j) |
| 291 |
|
|
viscAh_DMin(i,j)=max(viscAhGridMin*L2rdt,Uscl) |
| 292 |
|
|
viscAh_D(i,j)=max(viscAh_DMin(i,j),Alin) |
| 293 |
|
|
viscAh_DMax(i,j)=min(viscAhGridMax*L2rdt,viscAhMax) |
| 294 |
|
|
viscAh_D(i,j)=min(viscAh_DMax(i,j),viscAh_D(i,j)) |
| 295 |
baylor |
1.1 |
|
| 296 |
|
|
C BiHarmonic on Div.u points |
| 297 |
baylor |
1.5 |
Alin=viscA4D+viscA4Grid*L4rdt |
| 298 |
|
|
& +viscA4_DLth(i,j)+viscA4_DSmg(i,j) |
| 299 |
|
|
viscA4_DMin(i,j)=max(viscA4GridMin*L4rdt,U4scl) |
| 300 |
|
|
viscA4_D(i,j)=max(viscA4_DMin(i,j),Alin) |
| 301 |
|
|
viscA4_DMax(i,j)=min(viscA4GridMax*L4rdt,viscA4Max) |
| 302 |
|
|
viscA4_D(i,j)=min(viscA4_DMax(i,j),viscA4_D(i,j)) |
| 303 |
baylor |
1.1 |
|
| 304 |
|
|
CCCCCCCCCCCCC Vorticity Point CalculationsCCCCCCCCCCCCCCCCCC |
| 305 |
|
|
C These are (powers of) length scales |
| 306 |
baylor |
1.11 |
IF (useAreaViscLength) THEN |
| 307 |
|
|
L2=RaZ(i,j,bi,bj) |
| 308 |
|
|
ELSE |
| 309 |
|
|
L2=2._d 0/((recip_DXV(I,J,bi,bj)**2+recip_DYU(I,J,bi,bj)**2)) |
| 310 |
|
|
ENDIF |
| 311 |
|
|
|
| 312 |
baylor |
1.1 |
L3=(L2**1.5) |
| 313 |
|
|
L4=(L2**2) |
| 314 |
baylor |
1.5 |
L5=(L2**2.5) |
| 315 |
|
|
|
| 316 |
jmc |
1.10 |
L2rdt=0.25 _d 0*recip_dt*L2 |
| 317 |
baylor |
1.11 |
IF (useAreaViscLength) THEN |
| 318 |
|
|
L4rdt=0.125 _d 0*recip_dt*RaZ(i,j,bi,bj)**2 |
| 319 |
|
|
ELSE |
| 320 |
|
|
L4rdt=recip_dt/ |
| 321 |
|
|
& ( 6. _d 0*(recip_DXV(I,J,bi,bj)**4+recip_DYU(I,J,bi,bj)**4) |
| 322 |
|
|
& +8. _d 0*((recip_DXV(I,J,bi,bj)*recip_DYU(I,J,bi,bj))**2)) |
| 323 |
|
|
ENDIF |
| 324 |
baylor |
1.5 |
|
| 325 |
|
|
C Velocity Reynolds Scale |
| 326 |
jmc |
1.10 |
Uscl=sqrt(0.25 _d 0*(KE(i,j)+KE(i,j+1)+KE(i+1,j)+KE(i+1,j+1)) |
| 327 |
baylor |
1.9 |
& *L2)*viscAhRe_max |
| 328 |
jmc |
1.10 |
U4scl=sqrt(0.25 _d 0*(KE(i,j)+KE(i,j+1)+KE(i+1,j)+KE(i+1,j+1))) |
| 329 |
baylor |
1.9 |
& *L3*viscA4Re_max |
| 330 |
baylor |
1.1 |
|
| 331 |
|
|
C This is the vector magnitude of the vorticity gradient squared |
| 332 |
baylor |
1.5 |
IF (useFullLeith.and.calcleith) THEN |
| 333 |
jmc |
1.10 |
grdVrt=0.25 _d 0*( |
| 334 |
baylor |
1.5 |
& ((vort3(i+1,j)-vort3(i,j))*recip_DXG(i,j,bi,bj))**2 |
| 335 |
|
|
& +((vort3(i,j+1)-vort3(i,j))*recip_DYG(i,j,bi,bj))**2 |
| 336 |
|
|
& +((vort3(i-1,j)-vort3(i,j))*recip_DXG(i-1,j,bi,bj))**2 |
| 337 |
|
|
& +((vort3(i,j-1)-vort3(i,j))*recip_DYG(i,j-1,bi,bj))**2) |
| 338 |
baylor |
1.1 |
|
| 339 |
|
|
C This is the vector magnitude of grad(div.v) squared |
| 340 |
jmc |
1.10 |
grdDiv=0.25 _d 0*( |
| 341 |
baylor |
1.5 |
& ((hDiv(i,j)-hDiv(i-1,j))*recip_DXC(i,j,bi,bj))**2 |
| 342 |
|
|
& +((hDiv(i,j)-hDiv(i,j-1))*recip_DYC(i,j,bi,bj))**2 |
| 343 |
|
|
& +((hDiv(i,j-1)-hDiv(i-1,j-1))*recip_DXC(i,j-1,bi,bj))**2 |
| 344 |
|
|
& +((hDiv(i-1,j)-hDiv(i-1,j-1))*recip_DYC(i-1,j,bi,bj))**2) |
| 345 |
|
|
|
| 346 |
|
|
viscAh_ZLth(i,j)= |
| 347 |
|
|
& sqrt(viscC2leith**2*grdVrt+viscC2leithD**2*grdDiv)*L3 |
| 348 |
jmc |
1.10 |
viscA4_ZLth(i,j)=0.125 _d 0* |
| 349 |
baylor |
1.5 |
& sqrt(viscC4leith**2*grdVrt+viscC4leithD**2*grdDiv)*L5 |
| 350 |
|
|
viscAh_ZLthD(i,j)= |
| 351 |
|
|
& sqrt(viscC2leithD**2*grdDiv)*L3 |
| 352 |
jmc |
1.10 |
viscA4_ZLthD(i,j)=0.125 _d 0* |
| 353 |
baylor |
1.5 |
& sqrt(viscC4leithD**2*grdDiv)*L5 |
| 354 |
|
|
|
| 355 |
|
|
ELSEIF (calcleith) THEN |
| 356 |
baylor |
1.1 |
C but this approximation will work on cube (and differs by 4X) |
| 357 |
baylor |
1.5 |
grdVrt=abs((vort3(i+1,j)-vort3(i,j))*recip_DXG(i,j,bi,bj)) |
| 358 |
|
|
grdVrt=max(grdVrt, |
| 359 |
|
|
& abs((vort3(i,j+1)-vort3(i,j))*recip_DYG(i,j,bi,bj))) |
| 360 |
|
|
grdVrt=max(grdVrt, |
| 361 |
|
|
& abs((vort3(i-1,j)-vort3(i,j))*recip_DXG(i-1,j,bi,bj))) |
| 362 |
|
|
grdVrt=max(grdVrt, |
| 363 |
|
|
& abs((vort3(i,j-1)-vort3(i,j))*recip_DYG(i,j-1,bi,bj))) |
| 364 |
|
|
|
| 365 |
|
|
grdDiv=abs((hDiv(i,j)-hDiv(i-1,j))*recip_DXC(i,j,bi,bj)) |
| 366 |
|
|
grdDiv=max(grdDiv, |
| 367 |
|
|
& abs((hDiv(i,j)-hDiv(i,j-1))*recip_DYC(i,j,bi,bj))) |
| 368 |
|
|
grdDiv=max(grdDiv, |
| 369 |
jmc |
1.10 |
& abs((hDiv(i,j-1)-hDiv(i-1,j-1))*recip_DXC(i,j-1,bi,bj))) |
| 370 |
baylor |
1.5 |
grdDiv=max(grdDiv, |
| 371 |
jmc |
1.10 |
& abs((hDiv(i-1,j)-hDiv(i-1,j-1))*recip_DYC(i-1,j,bi,bj))) |
| 372 |
baylor |
1.5 |
|
| 373 |
|
|
viscAh_ZLth(i,j)=(viscC2leith*grdVrt |
| 374 |
|
|
& +(viscC2leithD*grdDiv))*L3 |
| 375 |
jmc |
1.10 |
viscA4_ZLth(i,j)=0.125 _d 0*(viscC4leith*grdVrt |
| 376 |
baylor |
1.5 |
& +(viscC4leithD*grdDiv))*L5 |
| 377 |
|
|
viscAh_ZLthD(i,j)=((viscC2leithD*grdDiv))*L3 |
| 378 |
jmc |
1.10 |
viscA4_ZLthD(i,j)=0.125 _d 0*((viscC4leithD*grdDiv))*L5 |
| 379 |
baylor |
1.1 |
ELSE |
| 380 |
jmc |
1.10 |
viscAh_ZLth(i,j)=0. _d 0 |
| 381 |
|
|
viscA4_ZLth(i,j)=0. _d 0 |
| 382 |
|
|
viscAh_ZLthD(i,j)=0. _d 0 |
| 383 |
|
|
viscA4_ZLthD(i,j)=0. _d 0 |
| 384 |
baylor |
1.1 |
ENDIF |
| 385 |
|
|
|
| 386 |
baylor |
1.5 |
IF (calcsmag) THEN |
| 387 |
|
|
viscAh_ZSmg(i,j)=L2 |
| 388 |
|
|
& *sqrt(strain(i,j)**2 |
| 389 |
jmc |
1.10 |
& +0.25 _d 0*(tension( i , j )**2+tension( i ,j-1)**2 |
| 390 |
|
|
& +tension(i-1, j )**2+tension(i-1,j-1)**2)) |
| 391 |
baylor |
1.5 |
viscA4_ZSmg(i,j)=smag4fac*L2*viscAh_ZSmg(i,j) |
| 392 |
|
|
viscAh_ZSmg(i,j)=smag2fac*viscAh_ZSmg(i,j) |
| 393 |
baylor |
1.1 |
ENDIF |
| 394 |
|
|
|
| 395 |
|
|
C Harmonic on Zeta points |
| 396 |
baylor |
1.5 |
Alin=viscAhZ+viscAhGrid*L2rdt |
| 397 |
|
|
& +viscAh_ZLth(i,j)+viscAh_ZSmg(i,j) |
| 398 |
|
|
viscAh_ZMin(i,j)=max(viscAhGridMin*L2rdt,Uscl) |
| 399 |
|
|
viscAh_Z(i,j)=max(viscAh_ZMin(i,j),Alin) |
| 400 |
|
|
viscAh_ZMax(i,j)=min(viscAhGridMax*L2rdt,viscAhMax) |
| 401 |
|
|
viscAh_Z(i,j)=min(viscAh_ZMax(i,j),viscAh_Z(i,j)) |
| 402 |
|
|
|
| 403 |
|
|
C BiHarmonic on Zeta points |
| 404 |
|
|
Alin=viscA4Z+viscA4Grid*L4rdt |
| 405 |
|
|
& +viscA4_ZLth(i,j)+viscA4_ZSmg(i,j) |
| 406 |
|
|
viscA4_ZMin(i,j)=max(viscA4GridMin*L4rdt,U4scl) |
| 407 |
|
|
viscA4_Z(i,j)=max(viscA4_ZMin(i,j),Alin) |
| 408 |
|
|
viscA4_ZMax(i,j)=min(viscA4GridMax*L4rdt,viscA4Max) |
| 409 |
|
|
viscA4_Z(i,j)=min(viscA4_ZMax(i,j),viscA4_Z(i,j)) |
| 410 |
baylor |
1.1 |
ENDDO |
| 411 |
|
|
ENDDO |
| 412 |
|
|
ELSE |
| 413 |
|
|
DO j=1-Oly,sNy+Oly |
| 414 |
|
|
DO i=1-Olx,sNx+Olx |
| 415 |
|
|
viscAh_D(i,j)=viscAhD |
| 416 |
|
|
viscAh_Z(i,j)=viscAhZ |
| 417 |
|
|
viscA4_D(i,j)=viscA4D |
| 418 |
|
|
viscA4_Z(i,j)=viscA4Z |
| 419 |
|
|
ENDDO |
| 420 |
|
|
ENDDO |
| 421 |
|
|
ENDIF |
| 422 |
|
|
|
| 423 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
| 424 |
|
|
IF (useDiagnostics) THEN |
| 425 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_D,'VISCAHD ',k,1,2,bi,bj,myThid) |
| 426 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_D,'VISCA4D ',k,1,2,bi,bj,myThid) |
| 427 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_Z,'VISCAHZ ',k,1,2,bi,bj,myThid) |
| 428 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_Z,'VISCA4Z ',k,1,2,bi,bj,myThid) |
| 429 |
baylor |
1.5 |
|
| 430 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_DMax,'VAHDMAX ',k,1,2,bi,bj,myThid) |
| 431 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_DMax,'VA4DMAX ',k,1,2,bi,bj,myThid) |
| 432 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_ZMax,'VAHZMAX ',k,1,2,bi,bj,myThid) |
| 433 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_ZMax,'VA4ZMAX ',k,1,2,bi,bj,myThid) |
| 434 |
|
|
|
| 435 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_DMin,'VAHDMIN ',k,1,2,bi,bj,myThid) |
| 436 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_DMin,'VA4DMIN ',k,1,2,bi,bj,myThid) |
| 437 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_ZMin,'VAHZMIN ',k,1,2,bi,bj,myThid) |
| 438 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_ZMin,'VA4ZMIN ',k,1,2,bi,bj,myThid) |
| 439 |
|
|
|
| 440 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_DLth,'VAHDLTH ',k,1,2,bi,bj,myThid) |
| 441 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_DLth,'VA4DLTH ',k,1,2,bi,bj,myThid) |
| 442 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_ZLth,'VAHZLTH ',k,1,2,bi,bj,myThid) |
| 443 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_ZLth,'VA4ZLTH ',k,1,2,bi,bj,myThid) |
| 444 |
|
|
|
| 445 |
baylor |
1.7 |
CALL DIAGNOSTICS_FILL(viscAh_DLthD,'VAHDLTHD' |
| 446 |
baylor |
1.8 |
& ,k,1,2,bi,bj,myThid) |
| 447 |
baylor |
1.7 |
CALL DIAGNOSTICS_FILL(viscA4_DLthD,'VA4DLTHD' |
| 448 |
baylor |
1.8 |
& ,k,1,2,bi,bj,myThid) |
| 449 |
baylor |
1.7 |
CALL DIAGNOSTICS_FILL(viscAh_ZLthD,'VAHZLTHD' |
| 450 |
baylor |
1.8 |
& ,k,1,2,bi,bj,myThid) |
| 451 |
baylor |
1.7 |
CALL DIAGNOSTICS_FILL(viscA4_ZLthD,'VA4ZLTHD' |
| 452 |
baylor |
1.8 |
& ,k,1,2,bi,bj,myThid) |
| 453 |
baylor |
1.5 |
|
| 454 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_DSmg,'VAHDSMAG',k,1,2,bi,bj,myThid) |
| 455 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_DSmg,'VA4DSMAG',k,1,2,bi,bj,myThid) |
| 456 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_ZSmg,'VAHZSMAG',k,1,2,bi,bj,myThid) |
| 457 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_ZSmg,'VA4ZSMAG',k,1,2,bi,bj,myThid) |
| 458 |
baylor |
1.1 |
ENDIF |
| 459 |
|
|
#endif |
| 460 |
|
|
|
| 461 |
|
|
RETURN |
| 462 |
|
|
END |
| 463 |
baylor |
1.5 |
|
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