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C $Header: /u/gcmpack/MITgcm/pkg/mom_common/mom_calc_visc.F,v 1.37 2009/04/06 23:47:06 heimbach 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. |
276 |
vrtDy(i,j) = 0. |
277 |
ENDDO |
278 |
ENDDO |
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|
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IF (calcLeith) THEN |
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C horizontal gradient of horizontal divergence: |
282 |
|
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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 |
|
297 |
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+olx + (sNx+2*olx)*(j+oly-1) |
338 |
& + (sNx+2*olx)*(sNy+2*oly)*(lockey_1-1) |
339 |
CADJ STORE viscA4_ZSmg(i,j) |
340 |
CADJ & = comlev1_mom_ijk_loop , key=lockey_2, byte=isbyte |
341 |
CADJ STORE viscAh_ZSmg(i,j) |
342 |
CADJ & = comlev1_mom_ijk_loop , key=lockey_2, byte=isbyte |
343 |
# endif |
344 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
345 |
|
346 |
C These are (powers of) length scales |
347 |
IF (useAreaViscLength) THEN |
348 |
L2=rA(i,j,bi,bj) |
349 |
ELSE |
350 |
L2=2. _d 0/((recip_DXF(I,J,bi,bj)**2+recip_DYF(I,J,bi,bj)**2)) |
351 |
ENDIF |
352 |
L4rdt=0.03125 _d 0*recip_dt*L2**2 |
353 |
L3=(L2**1.5) |
354 |
L4=(L2**2) |
355 |
L5=(L2*L3) |
356 |
|
357 |
L2rdt=0.25 _d 0*recip_dt*L2 |
358 |
|
359 |
C Velocity Reynolds Scale |
360 |
IF ( viscAhRe_max.GT.0. .AND. KE(i,j).GT.0. ) THEN |
361 |
Uscl=SQRT(KE(i,j)*L2)*viscAhRe_max |
362 |
ELSE |
363 |
Uscl=0. |
364 |
ENDIF |
365 |
IF ( viscA4Re_max.GT.0. .AND. KE(i,j).GT.0. ) THEN |
366 |
U4scl=SQRT(KE(i,j))*L3*viscA4Re_max |
367 |
ELSE |
368 |
U4scl=0. |
369 |
ENDIF |
370 |
|
371 |
cph-leith#ifndef ALLOW_AUTODIFF_TAMC |
372 |
#ifndef AUTODIFF_DISABLE_LEITH |
373 |
IF (useFullLeith.AND.calcLeith) THEN |
374 |
C This is the vector magnitude of the vorticity gradient squared |
375 |
grdVrt=0.25 _d 0*( (vrtDx(i,j+1)*vrtDx(i,j+1) |
376 |
& + vrtDx(i,j)*vrtDx(i,j) ) |
377 |
& + (vrtDy(i+1,j)*vrtDy(i+1,j) |
378 |
& + vrtDy(i,j)*vrtDy(i,j) ) ) |
379 |
|
380 |
C This is the vector magnitude of grad (div.v) squared |
381 |
C Using it in Leith serves to damp instabilities in w. |
382 |
grdDiv=0.25 _d 0*( (divDx(i+1,j)*divDx(i+1,j) |
383 |
& + divDx(i,j)*divDx(i,j) ) |
384 |
& + (divDy(i,j+1)*divDy(i,j+1) |
385 |
& + divDy(i,j)*divDy(i,j) ) ) |
386 |
|
387 |
viscAh_DLth(i,j)= |
388 |
& SQRT(leith2fac*grdVrt+leithD2fac*grdDiv)*L3 |
389 |
viscA4_DLth(i,j)= |
390 |
& SQRT(leith4fac*grdVrt+leithD4fac*grdDiv)*L5 |
391 |
viscAh_DLthd(i,j)= |
392 |
& SQRT(leithD2fac*grdDiv)*L3 |
393 |
viscA4_DLthd(i,j)= |
394 |
& SQRT(leithD4fac*grdDiv)*L5 |
395 |
ELSEIF (calcLeith) THEN |
396 |
C but this approximation will work on cube |
397 |
c (and differs by as much as 4X) |
398 |
grdVrt=MAX( ABS(vrtDx(i,j+1)), ABS(vrtDx(i,j)) ) |
399 |
grdVrt=MAX( grdVrt, ABS(vrtDy(i+1,j)) ) |
400 |
grdVrt=MAX( grdVrt, ABS(vrtDy(i,j)) ) |
401 |
|
402 |
c This approximation is good to the same order as above... |
403 |
grdDiv=MAX( ABS(divDx(i+1,j)), ABS(divDx(i,j)) ) |
404 |
grdDiv=MAX( grdDiv, ABS(divDy(i,j+1)) ) |
405 |
grdDiv=MAX( grdDiv, ABS(divDy(i,j)) ) |
406 |
|
407 |
viscAh_Dlth(i,j)=(leith2fac*grdVrt+(leithD2fac*grdDiv))*L3 |
408 |
viscA4_Dlth(i,j)=(leith4fac*grdVrt+(leithD4fac*grdDiv))*L5 |
409 |
viscAh_DlthD(i,j)=((leithD2fac*grdDiv))*L3 |
410 |
viscA4_DlthD(i,j)=((leithD4fac*grdDiv))*L5 |
411 |
ELSE |
412 |
viscAh_Dlth(i,j)=0. _d 0 |
413 |
viscA4_Dlth(i,j)=0. _d 0 |
414 |
viscAh_DlthD(i,j)=0. _d 0 |
415 |
viscA4_DlthD(i,j)=0. _d 0 |
416 |
ENDIF |
417 |
|
418 |
IF (calcSmag) THEN |
419 |
viscAh_DSmg(i,j)=L2 |
420 |
& *SQRT(tension(i,j)**2 |
421 |
& +0.25 _d 0*(strain(i+1, j )**2+strain( i ,j+1)**2 |
422 |
& +strain(i , j )**2+strain(i+1,j+1)**2)) |
423 |
viscA4_DSmg(i,j)=smag4fac*L2*viscAh_DSmg(i,j) |
424 |
viscAh_DSmg(i,j)=smag2fac*viscAh_DSmg(i,j) |
425 |
ELSE |
426 |
viscAh_DSmg(i,j)=0. _d 0 |
427 |
viscA4_DSmg(i,j)=0. _d 0 |
428 |
ENDIF |
429 |
#endif /* AUTODIFF_DISABLE_LEITH */ |
430 |
|
431 |
C Harmonic on Div.u points |
432 |
Alin=viscAhD+viscAhGrid*L2rdt |
433 |
& +viscAh_DLth(i,j)+viscAh_DSmg(i,j) |
434 |
viscAh_DMin(i,j)=MAX(viscAhGridMin*L2rdt,Uscl) |
435 |
viscAh_D(i,j)=MAX(viscAh_DMin(i,j),Alin) |
436 |
viscAh_DMax(i,j)=MIN(viscAhGridMax*L2rdt,viscAhMax) |
437 |
viscAh_D(i,j)=MIN(viscAh_DMax(i,j),viscAh_D(i,j)) |
438 |
|
439 |
C BiHarmonic on Div.u points |
440 |
Alin=viscA4D+viscA4Grid*L4rdt |
441 |
& +viscA4_DLth(i,j)+viscA4_DSmg(i,j) |
442 |
viscA4_DMin(i,j)=MAX(viscA4GridMin*L4rdt,U4scl) |
443 |
viscA4_D(i,j)=MAX(viscA4_DMin(i,j),Alin) |
444 |
viscA4_DMax(i,j)=MIN(viscA4GridMax*L4rdt,viscA4Max) |
445 |
viscA4_D(i,j)=MIN(viscA4_DMax(i,j),viscA4_D(i,j)) |
446 |
|
447 |
#ifdef ALLOW_NONHYDROSTATIC |
448 |
C-- Pass Viscosities to calc_gw, if constant, not necessary |
449 |
|
450 |
kp1 = MIN(k+1,Nr) |
451 |
|
452 |
IF ( k.EQ.1 ) THEN |
453 |
C Prepare for next level (next call) |
454 |
viscAh_W(i,j,kp1,bi,bj)=0.5*viscAh_D(i,j) |
455 |
viscA4_W(i,j,kp1,bi,bj)=0.5*viscA4_D(i,j) |
456 |
|
457 |
C These values dont get used |
458 |
viscAh_W(i,j,k,bi,bj)=viscAh_D(i,j) |
459 |
viscA4_W(i,j,k,bi,bj)=viscA4_D(i,j) |
460 |
|
461 |
ELSEIF ( k.EQ.Nr ) THEN |
462 |
viscAh_W(i,j,k,bi,bj)=viscAh_W(i,j,k,bi,bj)+0.5*viscAh_D(i,j) |
463 |
viscA4_W(i,j,k,bi,bj)=viscA4_W(i,j,k,bi,bj)+0.5*viscA4_D(i,j) |
464 |
|
465 |
ELSE |
466 |
C Prepare for next level (next call) |
467 |
viscAh_W(i,j,kp1,bi,bj)=0.5*viscAh_D(i,j) |
468 |
viscA4_W(i,j,kp1,bi,bj)=0.5*viscA4_D(i,j) |
469 |
|
470 |
C Note that previous call of this function has already added half. |
471 |
viscAh_W(i,j,k,bi,bj)=viscAh_W(i,j,k,bi,bj)+0.5*viscAh_D(i,j) |
472 |
viscA4_W(i,j,k,bi,bj)=viscA4_W(i,j,k,bi,bj)+0.5*viscA4_D(i,j) |
473 |
|
474 |
ENDIF |
475 |
#endif /* ALLOW_NONHYDROSTATIC */ |
476 |
|
477 |
CCCCCCCCCCCCC Vorticity Point CalculationsCCCCCCCCCCCCCCCCCC |
478 |
C These are (powers of) length scales |
479 |
IF (useAreaViscLength) THEN |
480 |
L2=rAz(i,j,bi,bj) |
481 |
ELSE |
482 |
L2=2. _d 0/((recip_DXV(I,J,bi,bj)**2+recip_DYU(I,J,bi,bj)**2)) |
483 |
ENDIF |
484 |
L4rdt=0.03125 _d 0*recip_dt*L2**2 |
485 |
L3=(L2**1.5) |
486 |
L4=(L2**2) |
487 |
L5=(L2*L3) |
488 |
|
489 |
L2rdt=0.25 _d 0*recip_dt*L2 |
490 |
|
491 |
C Velocity Reynolds Scale (Pb here at CS-grid corners !) |
492 |
IF ( viscAhRe_max.GT.0. .OR. viscA4Re_max.GT.0. ) THEN |
493 |
keZpt=0.25 _d 0*( (KE(i,j)+KE(i-1,j-1)) |
494 |
& +(KE(i-1,j)+KE(i,j-1)) ) |
495 |
IF ( keZpt.GT.0. ) THEN |
496 |
Uscl = SQRT(keZpt*L2)*viscAhRe_max |
497 |
U4scl= SQRT(keZpt)*L3*viscA4Re_max |
498 |
ELSE |
499 |
Uscl =0. |
500 |
U4scl=0. |
501 |
ENDIF |
502 |
ELSE |
503 |
Uscl =0. |
504 |
U4scl=0. |
505 |
ENDIF |
506 |
|
507 |
#ifndef AUTODIFF_DISABLE_LEITH |
508 |
C This is the vector magnitude of the vorticity gradient squared |
509 |
IF (useFullLeith.AND.calcLeith) THEN |
510 |
grdVrt=0.25 _d 0*( (vrtDx(i-1,j)*vrtDx(i-1,j) |
511 |
& + vrtDx(i,j)*vrtDx(i,j) ) |
512 |
& + (vrtDy(i,j-1)*vrtDy(i,j-1) |
513 |
& + vrtDy(i,j)*vrtDy(i,j) ) ) |
514 |
|
515 |
C This is the vector magnitude of grad(div.v) squared |
516 |
grdDiv=0.25 _d 0*( (divDx(i,j-1)*divDx(i,j-1) |
517 |
& + divDx(i,j)*divDx(i,j) ) |
518 |
& + (divDy(i-1,j)*divDy(i-1,j) |
519 |
& + divDy(i,j)*divDy(i,j) ) ) |
520 |
|
521 |
viscAh_ZLth(i,j)= |
522 |
& SQRT(leith2fac*grdVrt+leithD2fac*grdDiv)*L3 |
523 |
viscA4_ZLth(i,j)= |
524 |
& SQRT(leith4fac*grdVrt+leithD4fac*grdDiv)*L5 |
525 |
viscAh_ZLthD(i,j)= |
526 |
& SQRT(leithD2fac*grdDiv)*L3 |
527 |
viscA4_ZLthD(i,j)= |
528 |
& SQRT(leithD4fac*grdDiv)*L5 |
529 |
|
530 |
ELSEIF (calcLeith) THEN |
531 |
C but this approximation will work on cube (and differs by 4X) |
532 |
grdVrt=MAX( ABS(vrtDx(i-1,j)), ABS(vrtDx(i,j)) ) |
533 |
grdVrt=MAX( grdVrt, ABS(vrtDy(i,j-1)) ) |
534 |
grdVrt=MAX( grdVrt, ABS(vrtDy(i,j)) ) |
535 |
|
536 |
grdDiv=MAX( ABS(divDx(i,j)), ABS(divDx(i,j-1)) ) |
537 |
grdDiv=MAX( grdDiv, ABS(divDy(i,j)) ) |
538 |
grdDiv=MAX( grdDiv, ABS(divDy(i-1,j)) ) |
539 |
|
540 |
viscAh_ZLth(i,j)=(leith2fac*grdVrt+(leithD2fac*grdDiv))*L3 |
541 |
viscA4_ZLth(i,j)=(leith4fac*grdVrt+(leithD4fac*grdDiv))*L5 |
542 |
viscAh_ZLthD(i,j)=(leithD2fac*grdDiv)*L3 |
543 |
viscA4_ZLthD(i,j)=(leithD4fac*grdDiv)*L5 |
544 |
ELSE |
545 |
viscAh_ZLth(i,j)=0. _d 0 |
546 |
viscA4_ZLth(i,j)=0. _d 0 |
547 |
viscAh_ZLthD(i,j)=0. _d 0 |
548 |
viscA4_ZLthD(i,j)=0. _d 0 |
549 |
ENDIF |
550 |
|
551 |
IF (calcSmag) THEN |
552 |
viscAh_ZSmg(i,j)=L2 |
553 |
& *SQRT(strain(i,j)**2 |
554 |
& +0.25 _d 0*(tension( i , j )**2+tension( i ,j-1)**2 |
555 |
& +tension(i-1, j )**2+tension(i-1,j-1)**2)) |
556 |
viscA4_ZSmg(i,j)=smag4fac*L2*viscAh_ZSmg(i,j) |
557 |
viscAh_ZSmg(i,j)=smag2fac*viscAh_ZSmg(i,j) |
558 |
ENDIF |
559 |
#endif /* AUTODIFF_DISABLE_LEITH */ |
560 |
|
561 |
C Harmonic on Zeta points |
562 |
Alin=viscAhZ+viscAhGrid*L2rdt |
563 |
& +viscAh_ZLth(i,j)+viscAh_ZSmg(i,j) |
564 |
viscAh_ZMin(i,j)=MAX(viscAhGridMin*L2rdt,Uscl) |
565 |
viscAh_Z(i,j)=MAX(viscAh_ZMin(i,j),Alin) |
566 |
viscAh_ZMax(i,j)=MIN(viscAhGridMax*L2rdt,viscAhMax) |
567 |
viscAh_Z(i,j)=MIN(viscAh_ZMax(i,j),viscAh_Z(i,j)) |
568 |
|
569 |
C BiHarmonic on Zeta points |
570 |
Alin=viscA4Z+viscA4Grid*L4rdt |
571 |
& +viscA4_ZLth(i,j)+viscA4_ZSmg(i,j) |
572 |
viscA4_ZMin(i,j)=MAX(viscA4GridMin*L4rdt,U4scl) |
573 |
viscA4_Z(i,j)=MAX(viscA4_ZMin(i,j),Alin) |
574 |
viscA4_ZMax(i,j)=MIN(viscA4GridMax*L4rdt,viscA4Max) |
575 |
viscA4_Z(i,j)=MIN(viscA4_ZMax(i,j),viscA4_Z(i,j)) |
576 |
ENDDO |
577 |
ENDDO |
578 |
|
579 |
ELSE |
580 |
C---- use constant viscosity (useVariableViscosity=F): |
581 |
|
582 |
DO j=1-Oly,sNy+Oly |
583 |
DO i=1-Olx,sNx+Olx |
584 |
viscAh_D(i,j)=viscAhD |
585 |
viscAh_Z(i,j)=viscAhZ |
586 |
viscA4_D(i,j)=viscA4D |
587 |
viscA4_Z(i,j)=viscA4Z |
588 |
ENDDO |
589 |
ENDDO |
590 |
|
591 |
C---- variable/constant viscosity : end if/else block |
592 |
ENDIF |
593 |
|
594 |
#ifdef ALLOW_DIAGNOSTICS |
595 |
IF (useDiagnostics) THEN |
596 |
CALL DIAGNOSTICS_FILL(viscAh_D,'VISCAHD ',k,1,2,bi,bj,myThid) |
597 |
CALL DIAGNOSTICS_FILL(viscA4_D,'VISCA4D ',k,1,2,bi,bj,myThid) |
598 |
CALL DIAGNOSTICS_FILL(viscAh_Z,'VISCAHZ ',k,1,2,bi,bj,myThid) |
599 |
CALL DIAGNOSTICS_FILL(viscA4_Z,'VISCA4Z ',k,1,2,bi,bj,myThid) |
600 |
|
601 |
CALL DIAGNOSTICS_FILL(viscAh_DMax,'VAHDMAX ',k,1,2,bi,bj,myThid) |
602 |
CALL DIAGNOSTICS_FILL(viscA4_DMax,'VA4DMAX ',k,1,2,bi,bj,myThid) |
603 |
CALL DIAGNOSTICS_FILL(viscAh_ZMax,'VAHZMAX ',k,1,2,bi,bj,myThid) |
604 |
CALL DIAGNOSTICS_FILL(viscA4_ZMax,'VA4ZMAX ',k,1,2,bi,bj,myThid) |
605 |
|
606 |
CALL DIAGNOSTICS_FILL(viscAh_DMin,'VAHDMIN ',k,1,2,bi,bj,myThid) |
607 |
CALL DIAGNOSTICS_FILL(viscA4_DMin,'VA4DMIN ',k,1,2,bi,bj,myThid) |
608 |
CALL DIAGNOSTICS_FILL(viscAh_ZMin,'VAHZMIN ',k,1,2,bi,bj,myThid) |
609 |
CALL DIAGNOSTICS_FILL(viscA4_ZMin,'VA4ZMIN ',k,1,2,bi,bj,myThid) |
610 |
|
611 |
CALL DIAGNOSTICS_FILL(viscAh_DLth,'VAHDLTH ',k,1,2,bi,bj,myThid) |
612 |
CALL DIAGNOSTICS_FILL(viscA4_DLth,'VA4DLTH ',k,1,2,bi,bj,myThid) |
613 |
CALL DIAGNOSTICS_FILL(viscAh_ZLth,'VAHZLTH ',k,1,2,bi,bj,myThid) |
614 |
CALL DIAGNOSTICS_FILL(viscA4_ZLth,'VA4ZLTH ',k,1,2,bi,bj,myThid) |
615 |
|
616 |
CALL DIAGNOSTICS_FILL(viscAh_DLthD,'VAHDLTHD' |
617 |
& ,k,1,2,bi,bj,myThid) |
618 |
CALL DIAGNOSTICS_FILL(viscA4_DLthD,'VA4DLTHD' |
619 |
& ,k,1,2,bi,bj,myThid) |
620 |
CALL DIAGNOSTICS_FILL(viscAh_ZLthD,'VAHZLTHD' |
621 |
& ,k,1,2,bi,bj,myThid) |
622 |
CALL DIAGNOSTICS_FILL(viscA4_ZLthD,'VA4ZLTHD' |
623 |
& ,k,1,2,bi,bj,myThid) |
624 |
|
625 |
CALL DIAGNOSTICS_FILL(viscAh_DSmg,'VAHDSMAG',k,1,2,bi,bj,myThid) |
626 |
CALL DIAGNOSTICS_FILL(viscA4_DSmg,'VA4DSMAG',k,1,2,bi,bj,myThid) |
627 |
CALL DIAGNOSTICS_FILL(viscAh_ZSmg,'VAHZSMAG',k,1,2,bi,bj,myThid) |
628 |
CALL DIAGNOSTICS_FILL(viscA4_ZSmg,'VA4ZSMAG',k,1,2,bi,bj,myThid) |
629 |
ENDIF |
630 |
#endif |
631 |
|
632 |
RETURN |
633 |
END |
634 |
|