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C $Header: /u/gcmpack/MITgcm/pkg/mom_common/mom_calc_visc.F,v 1.35 2008/04/22 22:50:11 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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|
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|
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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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O harmonic,biharmonic,useVariableViscosity, |
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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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IMPLICIT NONE |
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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/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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|
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C |
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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 == 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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#ifdef ALLOW_NONHYDROSTATIC |
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#include "NH_VARS.h" |
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#endif |
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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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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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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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|
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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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INTEGER kp1 |
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#endif |
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INTEGER lockey_1, lockey_2 |
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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 recip_dt,L2,L3,L4,L5,L2rdt,L4rdt |
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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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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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|
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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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|
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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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|
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IF (useVariableViscosity) THEN |
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C---- variable viscosity : |
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|
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IF ((harmonic).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 ((biharmonic).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 (deltaTmom.NE.0.) THEN |
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recip_dt=1. _d 0/deltaTmom |
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ELSE |
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recip_dt=0. _d 0 |
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ENDIF |
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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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#ifdef ALLOW_AUTODIFF_TAMC |
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cphtest IF ( calcLeith .OR. calcSmag ) THEN |
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cphtest STOP 'calcLeith or calcSmag not implemented for ADJOINT' |
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cphtest ENDIF |
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#endif |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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viscAh_D(i,j)=viscAhD |
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viscAh_Z(i,j)=viscAhZ |
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viscA4_D(i,j)=viscA4D |
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viscA4_Z(i,j)=viscA4Z |
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c |
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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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c |
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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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c |
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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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c |
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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: |
271 |
DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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divDx(i,j) = 0. |
274 |
divDy(i,j) = 0. |
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vrtDx(i,j) = 0. |
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vrtDy(i,j) = 0. |
277 |
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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|
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C- gradient in x direction: |
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cph-exch2#ifndef ALLOW_AUTODIFF_TAMC |
285 |
IF (useCubedSphereExchange) THEN |
286 |
C to compute d/dx(hDiv), fill corners with appropriate values: |
287 |
CALL FILL_CS_CORNER_TR_RL( 1, .FALSE., |
288 |
& hDiv, bi,bj, myThid ) |
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ENDIF |
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cph-exch2#endif |
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DO j=2-Oly,sNy+Oly-1 |
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DO i=2-Olx,sNx+Olx-1 |
293 |
divDx(i,j) = (hDiv(i,j)-hDiv(i-1,j))*recip_DXC(i,j,bi,bj) |
294 |
ENDDO |
295 |
ENDDO |
296 |
|
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C- gradient in y direction: |
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cph-exch2#ifndef ALLOW_AUTODIFF_TAMC |
299 |
IF (useCubedSphereExchange) THEN |
300 |
C to compute d/dy(hDiv), fill corners with appropriate values: |
301 |
CALL FILL_CS_CORNER_TR_RL( 2, .FALSE., |
302 |
& hDiv, bi,bj, myThid ) |
303 |
ENDIF |
304 |
cph-exch2#endif |
305 |
DO j=2-Oly,sNy+Oly-1 |
306 |
DO i=2-Olx,sNx+Olx-1 |
307 |
divDy(i,j) = (hDiv(i,j)-hDiv(i,j-1))*recip_DYC(i,j,bi,bj) |
308 |
ENDDO |
309 |
ENDDO |
310 |
|
311 |
C horizontal gradient of vertical vorticity: |
312 |
C- gradient in x direction: |
313 |
DO j=2-Oly,sNy+Oly |
314 |
DO i=2-Olx,sNx+Olx-1 |
315 |
vrtDx(i,j) = (vort3(i+1,j)-vort3(i,j)) |
316 |
& *recip_DXG(i,j,bi,bj) |
317 |
& *maskS(i,j,k,bi,bj) |
318 |
ENDDO |
319 |
ENDDO |
320 |
C- gradient in y direction: |
321 |
DO j=2-Oly,sNy+Oly-1 |
322 |
DO i=2-Olx,sNx+Olx |
323 |
vrtDy(i,j) = (vort3(i,j+1)-vort3(i,j)) |
324 |
& *recip_DYG(i,j,bi,bj) |
325 |
& *maskW(i,j,k,bi,bj) |
326 |
ENDDO |
327 |
ENDDO |
328 |
|
329 |
ENDIF |
330 |
|
331 |
DO j=2-Oly,sNy+Oly-1 |
332 |
DO i=2-Olx,sNx+Olx-1 |
333 |
CCCCCCCCCCCCCCC Divergence Point CalculationsCCCCCCCCCCCCCCCCCCCC |
334 |
|
335 |
#ifdef ALLOW_AUTODIFF_TAMC |
336 |
# ifndef AUTODIFF_DISABLE_LEITH |
337 |
lockey_2 = i + sNx*(j-1) + sNx*sNy*(lockey_1-1) |
338 |
CADJ STORE viscA4_ZSmg(i,j) |
339 |
CADJ & = comlev1_mom_ijk_loop , key=lockey_2, byte=isbyte |
340 |
CADJ STORE viscAh_ZSmg(i,j) |
341 |
CADJ & = comlev1_mom_ijk_loop , key=lockey_2, byte=isbyte |
342 |
# endif |
343 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
344 |
|
345 |
C These are (powers of) length scales |
346 |
IF (useAreaViscLength) THEN |
347 |
L2=rA(i,j,bi,bj) |
348 |
L4rdt=0.03125 _d 0*recip_dt*L2**2 |
349 |
ELSE |
350 |
L2=2. _d 0/((recip_DXF(I,J,bi,bj)**2+recip_DYF(I,J,bi,bj)**2)) |
351 |
L4rdt=recip_dt/( 6. _d 0*(recip_DXF(I,J,bi,bj)**4 |
352 |
& +recip_DYF(I,J,bi,bj)**4) |
353 |
& +8. _d 0*((recip_DXF(I,J,bi,bj) |
354 |
& *recip_DYF(I,J,bi,bj))**2) ) |
355 |
ENDIF |
356 |
L3=(L2**1.5) |
357 |
L4=(L2**2) |
358 |
L5=(L2*L3) |
359 |
|
360 |
L2rdt=0.25 _d 0*recip_dt*L2 |
361 |
|
362 |
C Velocity Reynolds Scale |
363 |
IF ( viscAhRe_max.GT.0. .AND. KE(i,j).GT.0. ) THEN |
364 |
Uscl=SQRT(KE(i,j)*L2)*viscAhRe_max |
365 |
ELSE |
366 |
Uscl=0. |
367 |
ENDIF |
368 |
IF ( viscA4Re_max.GT.0. .AND. KE(i,j).GT.0. ) THEN |
369 |
U4scl=SQRT(KE(i,j))*L3*viscA4Re_max |
370 |
ELSE |
371 |
U4scl=0. |
372 |
ENDIF |
373 |
|
374 |
cph-leith#ifndef ALLOW_AUTODIFF_TAMC |
375 |
#ifndef AUTODIFF_DISABLE_LEITH |
376 |
IF (useFullLeith.AND.calcLeith) THEN |
377 |
C This is the vector magnitude of the vorticity gradient squared |
378 |
grdVrt=0.25 _d 0*( (vrtDx(i,j+1)*vrtDx(i,j+1) |
379 |
& + vrtDx(i,j)*vrtDx(i,j) ) |
380 |
& + (vrtDy(i+1,j)*vrtDy(i+1,j) |
381 |
& + vrtDy(i,j)*vrtDy(i,j) ) ) |
382 |
|
383 |
C This is the vector magnitude of grad (div.v) squared |
384 |
C Using it in Leith serves to damp instabilities in w. |
385 |
grdDiv=0.25 _d 0*( (divDx(i+1,j)*divDx(i+1,j) |
386 |
& + divDx(i,j)*divDx(i,j) ) |
387 |
& + (divDy(i,j+1)*divDy(i,j+1) |
388 |
& + divDy(i,j)*divDy(i,j) ) ) |
389 |
|
390 |
viscAh_DLth(i,j)= |
391 |
& SQRT(leith2fac*grdVrt+leithD2fac*grdDiv)*L3 |
392 |
viscA4_DLth(i,j)= |
393 |
& SQRT(leith4fac*grdVrt+leithD4fac*grdDiv)*L5 |
394 |
viscAh_DLthd(i,j)= |
395 |
& SQRT(leithD2fac*grdDiv)*L3 |
396 |
viscA4_DLthd(i,j)= |
397 |
& SQRT(leithD4fac*grdDiv)*L5 |
398 |
ELSEIF (calcLeith) THEN |
399 |
C but this approximation will work on cube |
400 |
c (and differs by as much as 4X) |
401 |
grdVrt=MAX( ABS(vrtDx(i,j+1)), ABS(vrtDx(i,j)) ) |
402 |
grdVrt=MAX( grdVrt, ABS(vrtDy(i+1,j)) ) |
403 |
grdVrt=MAX( grdVrt, ABS(vrtDy(i,j)) ) |
404 |
|
405 |
c This approximation is good to the same order as above... |
406 |
grdDiv=MAX( ABS(divDx(i+1,j)), ABS(divDx(i,j)) ) |
407 |
grdDiv=MAX( grdDiv, ABS(divDy(i,j+1)) ) |
408 |
grdDiv=MAX( grdDiv, ABS(divDy(i,j)) ) |
409 |
|
410 |
viscAh_Dlth(i,j)=(leith2fac*grdVrt+(leithD2fac*grdDiv))*L3 |
411 |
viscA4_Dlth(i,j)=(leith4fac*grdVrt+(leithD4fac*grdDiv))*L5 |
412 |
viscAh_DlthD(i,j)=((leithD2fac*grdDiv))*L3 |
413 |
viscA4_DlthD(i,j)=((leithD4fac*grdDiv))*L5 |
414 |
ELSE |
415 |
viscAh_Dlth(i,j)=0. _d 0 |
416 |
viscA4_Dlth(i,j)=0. _d 0 |
417 |
viscAh_DlthD(i,j)=0. _d 0 |
418 |
viscA4_DlthD(i,j)=0. _d 0 |
419 |
ENDIF |
420 |
|
421 |
IF (calcSmag) THEN |
422 |
viscAh_DSmg(i,j)=L2 |
423 |
& *SQRT(tension(i,j)**2 |
424 |
& +0.25 _d 0*(strain(i+1, j )**2+strain( i ,j+1)**2 |
425 |
& +strain(i , j )**2+strain(i+1,j+1)**2)) |
426 |
viscA4_DSmg(i,j)=smag4fac*L2*viscAh_DSmg(i,j) |
427 |
viscAh_DSmg(i,j)=smag2fac*viscAh_DSmg(i,j) |
428 |
ELSE |
429 |
viscAh_DSmg(i,j)=0. _d 0 |
430 |
viscA4_DSmg(i,j)=0. _d 0 |
431 |
ENDIF |
432 |
#endif /* AUTODIFF_DISABLE_LEITH */ |
433 |
|
434 |
C Harmonic on Div.u points |
435 |
Alin=viscAhD+viscAhGrid*L2rdt |
436 |
& +viscAh_DLth(i,j)+viscAh_DSmg(i,j) |
437 |
viscAh_DMin(i,j)=MAX(viscAhGridMin*L2rdt,Uscl) |
438 |
viscAh_D(i,j)=MAX(viscAh_DMin(i,j),Alin) |
439 |
viscAh_DMax(i,j)=MIN(viscAhGridMax*L2rdt,viscAhMax) |
440 |
viscAh_D(i,j)=MIN(viscAh_DMax(i,j),viscAh_D(i,j)) |
441 |
|
442 |
C BiHarmonic on Div.u points |
443 |
Alin=viscA4D+viscA4Grid*L4rdt |
444 |
& +viscA4_DLth(i,j)+viscA4_DSmg(i,j) |
445 |
viscA4_DMin(i,j)=MAX(viscA4GridMin*L4rdt,U4scl) |
446 |
viscA4_D(i,j)=MAX(viscA4_DMin(i,j),Alin) |
447 |
viscA4_DMax(i,j)=MIN(viscA4GridMax*L4rdt,viscA4Max) |
448 |
viscA4_D(i,j)=MIN(viscA4_DMax(i,j),viscA4_D(i,j)) |
449 |
|
450 |
#ifdef ALLOW_NONHYDROSTATIC |
451 |
C-- Pass Viscosities to calc_gw, if constant, not necessary |
452 |
|
453 |
kp1 = MIN(k+1,Nr) |
454 |
|
455 |
IF ( k.EQ.1 ) THEN |
456 |
C Prepare for next level (next call) |
457 |
viscAh_W(i,j,kp1,bi,bj)=0.5*viscAh_D(i,j) |
458 |
viscA4_W(i,j,kp1,bi,bj)=0.5*viscA4_D(i,j) |
459 |
|
460 |
C These values dont get used |
461 |
viscAh_W(i,j,k,bi,bj)=viscAh_D(i,j) |
462 |
viscA4_W(i,j,k,bi,bj)=viscA4_D(i,j) |
463 |
|
464 |
ELSEIF ( k.EQ.Nr ) THEN |
465 |
viscAh_W(i,j,k,bi,bj)=viscAh_W(i,j,k,bi,bj)+0.5*viscAh_D(i,j) |
466 |
viscA4_W(i,j,k,bi,bj)=viscA4_W(i,j,k,bi,bj)+0.5*viscA4_D(i,j) |
467 |
|
468 |
ELSE |
469 |
C Prepare for next level (next call) |
470 |
viscAh_W(i,j,kp1,bi,bj)=0.5*viscAh_D(i,j) |
471 |
viscA4_W(i,j,kp1,bi,bj)=0.5*viscA4_D(i,j) |
472 |
|
473 |
C Note that previous call of this function has already added half. |
474 |
viscAh_W(i,j,k,bi,bj)=viscAh_W(i,j,k,bi,bj)+0.5*viscAh_D(i,j) |
475 |
viscA4_W(i,j,k,bi,bj)=viscA4_W(i,j,k,bi,bj)+0.5*viscA4_D(i,j) |
476 |
|
477 |
ENDIF |
478 |
#endif /* ALLOW_NONHYDROSTATIC */ |
479 |
|
480 |
CCCCCCCCCCCCC Vorticity Point CalculationsCCCCCCCCCCCCCCCCCC |
481 |
C These are (powers of) length scales |
482 |
IF (useAreaViscLength) THEN |
483 |
L2=rAz(i,j,bi,bj) |
484 |
L4rdt=0.125 _d 0*recip_dt*rAz(i,j,bi,bj)**2 |
485 |
ELSE |
486 |
L2=2. _d 0/((recip_DXV(I,J,bi,bj)**2+recip_DYU(I,J,bi,bj)**2)) |
487 |
L4rdt=recip_dt/ |
488 |
& ( 6. _d 0*(recip_DXV(I,J,bi,bj)**4+recip_DYU(I,J,bi,bj)**4) |
489 |
& +8. _d 0*((recip_DXV(I,J,bi,bj)*recip_DYU(I,J,bi,bj))**2)) |
490 |
ENDIF |
491 |
|
492 |
L3=(L2**1.5) |
493 |
L4=(L2**2) |
494 |
L5=(L2*L3) |
495 |
|
496 |
L2rdt=0.25 _d 0*recip_dt*L2 |
497 |
|
498 |
C Velocity Reynolds Scale (Pb here at CS-grid corners !) |
499 |
IF ( viscAhRe_max.GT.0. .OR. viscA4Re_max.GT.0. ) THEN |
500 |
keZpt=0.25 _d 0*( (KE(i,j)+KE(i-1,j-1)) |
501 |
& +(KE(i-1,j)+KE(i,j-1)) ) |
502 |
IF ( keZpt.GT.0. ) THEN |
503 |
Uscl = SQRT(keZpt*L2)*viscAhRe_max |
504 |
U4scl= SQRT(keZpt)*L3*viscA4Re_max |
505 |
ELSE |
506 |
Uscl =0. |
507 |
U4scl=0. |
508 |
ENDIF |
509 |
ELSE |
510 |
Uscl =0. |
511 |
U4scl=0. |
512 |
ENDIF |
513 |
|
514 |
#ifndef AUTODIFF_DISABLE_LEITH |
515 |
C This is the vector magnitude of the vorticity gradient squared |
516 |
IF (useFullLeith.AND.calcLeith) THEN |
517 |
grdVrt=0.25 _d 0*( (vrtDx(i-1,j)*vrtDx(i-1,j) |
518 |
& + vrtDx(i,j)*vrtDx(i,j) ) |
519 |
& + (vrtDy(i,j-1)*vrtDy(i,j-1) |
520 |
& + vrtDy(i,j)*vrtDy(i,j) ) ) |
521 |
|
522 |
C This is the vector magnitude of grad(div.v) squared |
523 |
grdDiv=0.25 _d 0*( (divDx(i,j-1)*divDx(i,j-1) |
524 |
& + divDx(i,j)*divDx(i,j) ) |
525 |
& + (divDy(i-1,j)*divDy(i-1,j) |
526 |
& + divDy(i,j)*divDy(i,j) ) ) |
527 |
|
528 |
viscAh_ZLth(i,j)= |
529 |
& SQRT(leith2fac*grdVrt+leithD2fac*grdDiv)*L3 |
530 |
viscA4_ZLth(i,j)= |
531 |
& SQRT(leith4fac*grdVrt+leithD4fac*grdDiv)*L5 |
532 |
viscAh_ZLthD(i,j)= |
533 |
& SQRT(leithD2fac*grdDiv)*L3 |
534 |
viscA4_ZLthD(i,j)= |
535 |
& SQRT(leithD4fac*grdDiv)*L5 |
536 |
|
537 |
ELSEIF (calcLeith) THEN |
538 |
C but this approximation will work on cube (and differs by 4X) |
539 |
grdVrt=MAX( ABS(vrtDx(i-1,j)), ABS(vrtDx(i,j)) ) |
540 |
grdVrt=MAX( grdVrt, ABS(vrtDy(i,j-1)) ) |
541 |
grdVrt=MAX( grdVrt, ABS(vrtDy(i,j)) ) |
542 |
|
543 |
grdDiv=MAX( ABS(divDx(i,j)), ABS(divDx(i,j-1)) ) |
544 |
grdDiv=MAX( grdDiv, ABS(divDy(i,j)) ) |
545 |
grdDiv=MAX( grdDiv, ABS(divDy(i-1,j)) ) |
546 |
|
547 |
viscAh_ZLth(i,j)=(leith2fac*grdVrt+(leithD2fac*grdDiv))*L3 |
548 |
viscA4_ZLth(i,j)=(leith4fac*grdVrt+(leithD4fac*grdDiv))*L5 |
549 |
viscAh_ZLthD(i,j)=(leithD2fac*grdDiv)*L3 |
550 |
viscA4_ZLthD(i,j)=(leithD4fac*grdDiv)*L5 |
551 |
ELSE |
552 |
viscAh_ZLth(i,j)=0. _d 0 |
553 |
viscA4_ZLth(i,j)=0. _d 0 |
554 |
viscAh_ZLthD(i,j)=0. _d 0 |
555 |
viscA4_ZLthD(i,j)=0. _d 0 |
556 |
ENDIF |
557 |
|
558 |
IF (calcSmag) THEN |
559 |
viscAh_ZSmg(i,j)=L2 |
560 |
& *SQRT(strain(i,j)**2 |
561 |
& +0.25 _d 0*(tension( i , j )**2+tension( i ,j-1)**2 |
562 |
& +tension(i-1, j )**2+tension(i-1,j-1)**2)) |
563 |
viscA4_ZSmg(i,j)=smag4fac*L2*viscAh_ZSmg(i,j) |
564 |
viscAh_ZSmg(i,j)=smag2fac*viscAh_ZSmg(i,j) |
565 |
ENDIF |
566 |
#endif /* AUTODIFF_DISABLE_LEITH */ |
567 |
|
568 |
C Harmonic on Zeta points |
569 |
Alin=viscAhZ+viscAhGrid*L2rdt |
570 |
& +viscAh_ZLth(i,j)+viscAh_ZSmg(i,j) |
571 |
viscAh_ZMin(i,j)=MAX(viscAhGridMin*L2rdt,Uscl) |
572 |
viscAh_Z(i,j)=MAX(viscAh_ZMin(i,j),Alin) |
573 |
viscAh_ZMax(i,j)=MIN(viscAhGridMax*L2rdt,viscAhMax) |
574 |
viscAh_Z(i,j)=MIN(viscAh_ZMax(i,j),viscAh_Z(i,j)) |
575 |
|
576 |
C BiHarmonic on Zeta points |
577 |
Alin=viscA4Z+viscA4Grid*L4rdt |
578 |
& +viscA4_ZLth(i,j)+viscA4_ZSmg(i,j) |
579 |
viscA4_ZMin(i,j)=MAX(viscA4GridMin*L4rdt,U4scl) |
580 |
viscA4_Z(i,j)=MAX(viscA4_ZMin(i,j),Alin) |
581 |
viscA4_ZMax(i,j)=MIN(viscA4GridMax*L4rdt,viscA4Max) |
582 |
viscA4_Z(i,j)=MIN(viscA4_ZMax(i,j),viscA4_Z(i,j)) |
583 |
ENDDO |
584 |
ENDDO |
585 |
|
586 |
ELSE |
587 |
C---- use constant viscosity (useVariableViscosity=F): |
588 |
|
589 |
DO j=1-Oly,sNy+Oly |
590 |
DO i=1-Olx,sNx+Olx |
591 |
viscAh_D(i,j)=viscAhD |
592 |
viscAh_Z(i,j)=viscAhZ |
593 |
viscA4_D(i,j)=viscA4D |
594 |
viscA4_Z(i,j)=viscA4Z |
595 |
ENDDO |
596 |
ENDDO |
597 |
|
598 |
C---- variable/constant viscosity : end if/else block |
599 |
ENDIF |
600 |
|
601 |
#ifdef ALLOW_DIAGNOSTICS |
602 |
IF (useDiagnostics) THEN |
603 |
CALL DIAGNOSTICS_FILL(viscAh_D,'VISCAHD ',k,1,2,bi,bj,myThid) |
604 |
CALL DIAGNOSTICS_FILL(viscA4_D,'VISCA4D ',k,1,2,bi,bj,myThid) |
605 |
CALL DIAGNOSTICS_FILL(viscAh_Z,'VISCAHZ ',k,1,2,bi,bj,myThid) |
606 |
CALL DIAGNOSTICS_FILL(viscA4_Z,'VISCA4Z ',k,1,2,bi,bj,myThid) |
607 |
|
608 |
CALL DIAGNOSTICS_FILL(viscAh_DMax,'VAHDMAX ',k,1,2,bi,bj,myThid) |
609 |
CALL DIAGNOSTICS_FILL(viscA4_DMax,'VA4DMAX ',k,1,2,bi,bj,myThid) |
610 |
CALL DIAGNOSTICS_FILL(viscAh_ZMax,'VAHZMAX ',k,1,2,bi,bj,myThid) |
611 |
CALL DIAGNOSTICS_FILL(viscA4_ZMax,'VA4ZMAX ',k,1,2,bi,bj,myThid) |
612 |
|
613 |
CALL DIAGNOSTICS_FILL(viscAh_DMin,'VAHDMIN ',k,1,2,bi,bj,myThid) |
614 |
CALL DIAGNOSTICS_FILL(viscA4_DMin,'VA4DMIN ',k,1,2,bi,bj,myThid) |
615 |
CALL DIAGNOSTICS_FILL(viscAh_ZMin,'VAHZMIN ',k,1,2,bi,bj,myThid) |
616 |
CALL DIAGNOSTICS_FILL(viscA4_ZMin,'VA4ZMIN ',k,1,2,bi,bj,myThid) |
617 |
|
618 |
CALL DIAGNOSTICS_FILL(viscAh_DLth,'VAHDLTH ',k,1,2,bi,bj,myThid) |
619 |
CALL DIAGNOSTICS_FILL(viscA4_DLth,'VA4DLTH ',k,1,2,bi,bj,myThid) |
620 |
CALL DIAGNOSTICS_FILL(viscAh_ZLth,'VAHZLTH ',k,1,2,bi,bj,myThid) |
621 |
CALL DIAGNOSTICS_FILL(viscA4_ZLth,'VA4ZLTH ',k,1,2,bi,bj,myThid) |
622 |
|
623 |
CALL DIAGNOSTICS_FILL(viscAh_DLthD,'VAHDLTHD' |
624 |
& ,k,1,2,bi,bj,myThid) |
625 |
CALL DIAGNOSTICS_FILL(viscA4_DLthD,'VA4DLTHD' |
626 |
& ,k,1,2,bi,bj,myThid) |
627 |
CALL DIAGNOSTICS_FILL(viscAh_ZLthD,'VAHZLTHD' |
628 |
& ,k,1,2,bi,bj,myThid) |
629 |
CALL DIAGNOSTICS_FILL(viscA4_ZLthD,'VA4ZLTHD' |
630 |
& ,k,1,2,bi,bj,myThid) |
631 |
|
632 |
CALL DIAGNOSTICS_FILL(viscAh_DSmg,'VAHDSMAG',k,1,2,bi,bj,myThid) |
633 |
CALL DIAGNOSTICS_FILL(viscA4_DSmg,'VA4DSMAG',k,1,2,bi,bj,myThid) |
634 |
CALL DIAGNOSTICS_FILL(viscAh_ZSmg,'VAHZSMAG',k,1,2,bi,bj,myThid) |
635 |
CALL DIAGNOSTICS_FILL(viscA4_ZSmg,'VA4ZSMAG',k,1,2,bi,bj,myThid) |
636 |
ENDIF |
637 |
#endif |
638 |
|
639 |
RETURN |
640 |
END |
641 |
|