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C $Header: /u/gcmpack/MITgcm/pkg/mom_common/mom_calc_visc.F,v 1.23 2006/07/07 18:52:10 baylor 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*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=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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|
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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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INTEGER kp1 |
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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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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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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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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 ((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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IF ( calcLeith .OR. calcSmag ) THEN |
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STOP 'calcLeith or calcSmag not implemented for ADJOINT' |
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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 - Viscosity |
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IF (useVariableViscosity) THEN |
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|
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C- Initialise to zero gradient of vorticity & divergence: |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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divDx(i,j) = 0. |
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divDy(i,j) = 0. |
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vrtDx(i,j) = 0. |
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vrtDy(i,j) = 0. |
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ENDDO |
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ENDDO |
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|
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IF (calcleith) THEN |
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C horizontal gradient of horizontal divergence: |
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|
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C- gradient in x direction: |
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#ifndef ALLOW_AUTODIFF_TAMC |
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IF (useCubedSphereExchange) THEN |
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C to compute d/dx(hDiv), fill corners with appropriate values: |
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CALL FILL_CS_CORNER_TR_RL( .TRUE., hDiv, bi,bj, myThid ) |
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ENDIF |
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#endif |
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DO j=2-Oly,sNy+Oly-1 |
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DO i=2-Olx,sNx+Olx-1 |
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divDx(i,j) = (hDiv(i,j)-hDiv(i-1,j))*recip_DXC(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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|
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C- gradient in y direction: |
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#ifndef ALLOW_AUTODIFF_TAMC |
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IF (useCubedSphereExchange) THEN |
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C to compute d/dy(hDiv), fill corners with appropriate values: |
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CALL FILL_CS_CORNER_TR_RL(.FALSE., hDiv, bi,bj, myThid ) |
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ENDIF |
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#endif |
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DO j=2-Oly,sNy+Oly-1 |
280 |
DO i=2-Olx,sNx+Olx-1 |
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divDy(i,j) = (hDiv(i,j)-hDiv(i,j-1))*recip_DYC(i,j,bi,bj) |
282 |
ENDDO |
283 |
ENDDO |
284 |
|
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C horizontal gradient of vertical vorticity: |
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C- gradient in x direction: |
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DO j=2-Oly,sNy+Oly |
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DO i=2-Olx,sNx+Olx-1 |
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vrtDx(i,j) = (vort3(i+1,j)-vort3(i,j)) |
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& *recip_DXG(i,j,bi,bj) |
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& *maskS(i,j,k,bi,bj) |
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ENDDO |
293 |
ENDDO |
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C- gradient in y direction: |
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DO j=2-Oly,sNy+Oly-1 |
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DO i=2-Olx,sNx+Olx |
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vrtDy(i,j) = (vort3(i,j+1)-vort3(i,j)) |
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& *recip_DYG(i,j,bi,bj) |
299 |
& *maskW(i,j,k,bi,bj) |
300 |
ENDDO |
301 |
ENDDO |
302 |
|
303 |
ENDIF |
304 |
|
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DO j=2-Oly,sNy+Oly-1 |
306 |
DO i=2-Olx,sNx+Olx-1 |
307 |
CCCCCCCCCCCCCCC Divergence Point CalculationsCCCCCCCCCCCCCCCCCCCC |
308 |
|
309 |
C These are (powers of) length scales |
310 |
IF (useAreaViscLength) THEN |
311 |
L2=rA(i,j,bi,bj) |
312 |
ELSE |
313 |
L2=2. _d 0/((recip_DXF(I,J,bi,bj)**2+recip_DYF(I,J,bi,bj)**2)) |
314 |
ENDIF |
315 |
L3=(L2**1.5) |
316 |
L4=(L2**2) |
317 |
L5=(L2**2.5) |
318 |
|
319 |
L2rdt=0.25 _d 0*recip_dt*L2 |
320 |
|
321 |
IF (useAreaViscLength) THEN |
322 |
L4rdt=0.125 _d 0*recip_dt*rA(i,j,bi,bj)**2 |
323 |
ELSE |
324 |
L4rdt=recip_dt/( 6. _d 0*(recip_DXF(I,J,bi,bj)**4 |
325 |
& +recip_DYF(I,J,bi,bj)**4) |
326 |
& +8. _d 0*((recip_DXF(I,J,bi,bj) |
327 |
& *recip_DYF(I,J,bi,bj))**2) ) |
328 |
ENDIF |
329 |
|
330 |
C Velocity Reynolds Scale |
331 |
IF ( viscAhRe_max.GT.0. .AND. KE(i,j).GT.0. ) THEN |
332 |
Uscl=sqrt(KE(i,j)*L2)*viscAhRe_max |
333 |
ELSE |
334 |
Uscl=0. |
335 |
ENDIF |
336 |
IF ( viscA4Re_max.GT.0. .AND. KE(i,j).GT.0. ) THEN |
337 |
U4scl=sqrt(KE(i,j))*L3*viscA4Re_max |
338 |
ELSE |
339 |
U4scl=0. |
340 |
ENDIF |
341 |
|
342 |
#ifndef ALLOW_AUTODIFF_TAMC |
343 |
IF (useFullLeith.and.calcleith) THEN |
344 |
C This is the vector magnitude of the vorticity gradient squared |
345 |
grdVrt=0.25 _d 0*( (vrtDx(i,j+1)*vrtDx(i,j+1) |
346 |
& + vrtDx(i,j)*vrtDx(i,j) ) |
347 |
& + (vrtDy(i+1,j)*vrtDy(i+1,j) |
348 |
& + vrtDy(i,j)*vrtDy(i,j) ) ) |
349 |
|
350 |
C This is the vector magnitude of grad (div.v) squared |
351 |
C Using it in Leith serves to damp instabilities in w. |
352 |
grdDiv=0.25 _d 0*( (divDx(i+1,j)*divDx(i+1,j) |
353 |
& + divDx(i,j)*divDx(i,j) ) |
354 |
& + (divDy(i,j+1)*divDy(i,j+1) |
355 |
& + divDy(i,j)*divDy(i,j) ) ) |
356 |
|
357 |
viscAh_DLth(i,j)= |
358 |
& sqrt(leith2fac*grdVrt+leithD2fac*grdDiv)*L3 |
359 |
viscA4_DLth(i,j)= |
360 |
& sqrt(leith4fac*grdVrt+leithD4fac*grdDiv)*L5 |
361 |
viscAh_DLthd(i,j)= |
362 |
& sqrt(leithD2fac*grdDiv)*L3 |
363 |
viscA4_DLthd(i,j)= |
364 |
& sqrt(leithD4fac*grdDiv)*L5 |
365 |
ELSEIF (calcleith) THEN |
366 |
C but this approximation will work on cube |
367 |
c (and differs by as much as 4X) |
368 |
grdVrt=max( abs(vrtDx(i,j+1)), abs(vrtDx(i,j)) ) |
369 |
grdVrt=max( grdVrt, abs(vrtDy(i+1,j)) ) |
370 |
grdVrt=max( grdVrt, abs(vrtDy(i,j)) ) |
371 |
|
372 |
c This approximation is good to the same order as above... |
373 |
grdDiv=max( abs(divDx(i+1,j)), abs(divDx(i,j)) ) |
374 |
grdDiv=max( grdDiv, abs(divDy(i,j+1)) ) |
375 |
grdDiv=max( grdDiv, abs(divDy(i,j)) ) |
376 |
|
377 |
viscAh_Dlth(i,j)=(leith2fac*grdVrt+(leithD2fac*grdDiv))*L3 |
378 |
viscA4_Dlth(i,j)=(leith4fac*grdVrt+(leithD4fac*grdDiv))*L5 |
379 |
viscAh_DlthD(i,j)=((leithD2fac*grdDiv))*L3 |
380 |
viscA4_DlthD(i,j)=((leithD4fac*grdDiv))*L5 |
381 |
ELSE |
382 |
viscAh_Dlth(i,j)=0. _d 0 |
383 |
viscA4_Dlth(i,j)=0. _d 0 |
384 |
viscAh_DlthD(i,j)=0. _d 0 |
385 |
viscA4_DlthD(i,j)=0. _d 0 |
386 |
ENDIF |
387 |
|
388 |
IF (calcsmag) THEN |
389 |
viscAh_DSmg(i,j)=L2 |
390 |
& *sqrt(tension(i,j)**2 |
391 |
& +0.25 _d 0*(strain(i+1, j )**2+strain( i ,j+1)**2 |
392 |
& +strain(i , j )**2+strain(i+1,j+1)**2)) |
393 |
viscA4_DSmg(i,j)=smag4fac*L2*viscAh_DSmg(i,j) |
394 |
viscAh_DSmg(i,j)=smag2fac*viscAh_DSmg(i,j) |
395 |
ELSE |
396 |
viscAh_DSmg(i,j)=0. _d 0 |
397 |
viscA4_DSmg(i,j)=0. _d 0 |
398 |
ENDIF |
399 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
400 |
|
401 |
C Harmonic on Div.u points |
402 |
Alin=viscAhD+viscAhGrid*L2rdt |
403 |
& +viscAh_DLth(i,j)+viscAh_DSmg(i,j) |
404 |
viscAh_DMin(i,j)=max(viscAhGridMin*L2rdt,Uscl) |
405 |
viscAh_D(i,j)=max(viscAh_DMin(i,j),Alin) |
406 |
viscAh_DMax(i,j)=min(viscAhGridMax*L2rdt,viscAhMax) |
407 |
viscAh_D(i,j)=min(viscAh_DMax(i,j),viscAh_D(i,j)) |
408 |
|
409 |
C BiHarmonic on Div.u points |
410 |
Alin=viscA4D+viscA4Grid*L4rdt |
411 |
& +viscA4_DLth(i,j)+viscA4_DSmg(i,j) |
412 |
viscA4_DMin(i,j)=max(viscA4GridMin*L4rdt,U4scl) |
413 |
viscA4_D(i,j)=max(viscA4_DMin(i,j),Alin) |
414 |
viscA4_DMax(i,j)=min(viscA4GridMax*L4rdt,viscA4Max) |
415 |
viscA4_D(i,j)=min(viscA4_DMax(i,j),viscA4_D(i,j)) |
416 |
|
417 |
#ifdef ALLOW_NONHYDROSTATIC |
418 |
C /* Pass Viscosities to calc_gw, if constant, not necessary */ |
419 |
|
420 |
kp1 = MIN(k+1,Nr) |
421 |
|
422 |
if (k .eq. 1) then |
423 |
viscAh_W(i,j,kp1,bi,bj)=0.5*viscAh_D(i,j) |
424 |
viscA4_W(i,j,kp1,bi,bj)=0.5*viscA4_D(i,j) |
425 |
|
426 |
viscAh_W(i,j,k,bi,bj)=viscAh_D(i,j) /* These values dont get used */ |
427 |
viscA4_W(i,j,k,bi,bj)=viscA4_D(i,j) |
428 |
else |
429 |
C Note that previous call of this function has already added half. |
430 |
viscAh_W(i,j,kp1,bi,bj)=0.5*viscAh_D(i,j) |
431 |
viscA4_W(i,j,kp1,bi,bj)=0.5*viscA4_D(i,j) |
432 |
|
433 |
viscAh_W(i,j,k,bi,bj)=viscAh_W(i,j,k,bi,bj)+0.5*viscAh_D(i,j) |
434 |
viscA4_W(i,j,k,bi,bj)=viscA4_W(i,j,k,bi,bj)+0.5*viscA4_D(i,j) |
435 |
endif |
436 |
#endif /* ALLOW_NONHYDROSTATIC */ |
437 |
|
438 |
CCCCCCCCCCCCC Vorticity Point CalculationsCCCCCCCCCCCCCCCCCC |
439 |
C These are (powers of) length scales |
440 |
IF (useAreaViscLength) THEN |
441 |
L2=rAz(i,j,bi,bj) |
442 |
ELSE |
443 |
L2=2. _d 0/((recip_DXV(I,J,bi,bj)**2+recip_DYU(I,J,bi,bj)**2)) |
444 |
ENDIF |
445 |
|
446 |
L3=(L2**1.5) |
447 |
L4=(L2**2) |
448 |
L5=(L2**2.5) |
449 |
|
450 |
L2rdt=0.25 _d 0*recip_dt*L2 |
451 |
IF (useAreaViscLength) THEN |
452 |
L4rdt=0.125 _d 0*recip_dt*rAz(i,j,bi,bj)**2 |
453 |
ELSE |
454 |
L4rdt=recip_dt/ |
455 |
& ( 6. _d 0*(recip_DXV(I,J,bi,bj)**4+recip_DYU(I,J,bi,bj)**4) |
456 |
& +8. _d 0*((recip_DXV(I,J,bi,bj)*recip_DYU(I,J,bi,bj))**2)) |
457 |
ENDIF |
458 |
|
459 |
C Velocity Reynolds Scale (Pb here at CS-grid corners !) |
460 |
IF ( viscAhRe_max.GT.0. .OR. viscA4Re_max.GT.0. ) THEN |
461 |
keZpt=0.25 _d 0*( (KE(i,j)+KE(i-1,j-1)) |
462 |
& +(KE(i-1,j)+KE(i,j-1)) ) |
463 |
IF ( keZpt.GT.0. ) THEN |
464 |
Uscl = sqrt(keZpt*L2)*viscAhRe_max |
465 |
U4scl= sqrt(keZpt)*L3*viscA4Re_max |
466 |
ELSE |
467 |
Uscl =0. |
468 |
U4scl=0. |
469 |
ENDIF |
470 |
ELSE |
471 |
Uscl =0. |
472 |
U4scl=0. |
473 |
ENDIF |
474 |
|
475 |
#ifndef ALLOW_AUTODIFF_TAMC |
476 |
C This is the vector magnitude of the vorticity gradient squared |
477 |
IF (useFullLeith.and.calcleith) THEN |
478 |
grdVrt=0.25 _d 0*( (vrtDx(i-1,j)*vrtDx(i-1,j) |
479 |
& + vrtDx(i,j)*vrtDx(i,j) ) |
480 |
& + (vrtDy(i,j-1)*vrtDy(i,j-1) |
481 |
& + vrtDy(i,j)*vrtDy(i,j) ) ) |
482 |
|
483 |
C This is the vector magnitude of grad(div.v) squared |
484 |
grdDiv=0.25 _d 0*( (divDx(i,j-1)*divDx(i,j-1) |
485 |
& + divDx(i,j)*divDx(i,j) ) |
486 |
& + (divDy(i-1,j)*divDy(i-1,j) |
487 |
& + divDy(i,j)*divDy(i,j) ) ) |
488 |
|
489 |
viscAh_ZLth(i,j)= |
490 |
& sqrt(leith2fac*grdVrt+leithD2fac*grdDiv)*L3 |
491 |
viscA4_ZLth(i,j)= |
492 |
& sqrt(leith4fac*grdVrt+leithD4fac*grdDiv)*L5 |
493 |
viscAh_ZLthD(i,j)= |
494 |
& sqrt(leithD2fac*grdDiv)*L3 |
495 |
viscA4_ZLthD(i,j)= |
496 |
& sqrt(leithD4fac*grdDiv)*L5 |
497 |
|
498 |
ELSEIF (calcleith) THEN |
499 |
C but this approximation will work on cube (and differs by 4X) |
500 |
grdVrt=max( abs(vrtDx(i-1,j)), abs(vrtDx(i,j)) ) |
501 |
grdVrt=max( grdVrt, abs(vrtDy(i,j-1)) ) |
502 |
grdVrt=max( grdVrt, abs(vrtDy(i,j)) ) |
503 |
|
504 |
grdDiv=max( abs(divDx(i,j)), abs(divDx(i,j-1)) ) |
505 |
grdDiv=max( grdDiv, abs(divDy(i,j)) ) |
506 |
grdDiv=max( grdDiv, abs(divDy(i-1,j)) ) |
507 |
|
508 |
viscAh_ZLth(i,j)=(leith2fac*grdVrt+(leithD2fac*grdDiv))*L3 |
509 |
viscA4_ZLth(i,j)=(leith4fac*grdVrt+(leithD4fac*grdDiv))*L5 |
510 |
viscAh_ZLthD(i,j)=(leithD2fac*grdDiv)*L3 |
511 |
viscA4_ZLthD(i,j)=(leithD4fac*grdDiv)*L5 |
512 |
ELSE |
513 |
viscAh_ZLth(i,j)=0. _d 0 |
514 |
viscA4_ZLth(i,j)=0. _d 0 |
515 |
viscAh_ZLthD(i,j)=0. _d 0 |
516 |
viscA4_ZLthD(i,j)=0. _d 0 |
517 |
ENDIF |
518 |
|
519 |
IF (calcsmag) THEN |
520 |
viscAh_ZSmg(i,j)=L2 |
521 |
& *sqrt(strain(i,j)**2 |
522 |
& +0.25 _d 0*(tension( i , j )**2+tension( i ,j-1)**2 |
523 |
& +tension(i-1, j )**2+tension(i-1,j-1)**2)) |
524 |
viscA4_ZSmg(i,j)=smag4fac*L2*viscAh_ZSmg(i,j) |
525 |
viscAh_ZSmg(i,j)=smag2fac*viscAh_ZSmg(i,j) |
526 |
ENDIF |
527 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
528 |
|
529 |
C Harmonic on Zeta points |
530 |
Alin=viscAhZ+viscAhGrid*L2rdt |
531 |
& +viscAh_ZLth(i,j)+viscAh_ZSmg(i,j) |
532 |
viscAh_ZMin(i,j)=max(viscAhGridMin*L2rdt,Uscl) |
533 |
viscAh_Z(i,j)=max(viscAh_ZMin(i,j),Alin) |
534 |
viscAh_ZMax(i,j)=min(viscAhGridMax*L2rdt,viscAhMax) |
535 |
viscAh_Z(i,j)=min(viscAh_ZMax(i,j),viscAh_Z(i,j)) |
536 |
|
537 |
C BiHarmonic on Zeta points |
538 |
Alin=viscA4Z+viscA4Grid*L4rdt |
539 |
& +viscA4_ZLth(i,j)+viscA4_ZSmg(i,j) |
540 |
viscA4_ZMin(i,j)=max(viscA4GridMin*L4rdt,U4scl) |
541 |
viscA4_Z(i,j)=max(viscA4_ZMin(i,j),Alin) |
542 |
viscA4_ZMax(i,j)=min(viscA4GridMax*L4rdt,viscA4Max) |
543 |
viscA4_Z(i,j)=min(viscA4_ZMax(i,j),viscA4_Z(i,j)) |
544 |
ENDDO |
545 |
ENDDO |
546 |
ELSE |
547 |
DO j=1-Oly,sNy+Oly |
548 |
DO i=1-Olx,sNx+Olx |
549 |
viscAh_D(i,j)=viscAhD |
550 |
viscAh_Z(i,j)=viscAhZ |
551 |
viscA4_D(i,j)=viscA4D |
552 |
viscA4_Z(i,j)=viscA4Z |
553 |
ENDDO |
554 |
ENDDO |
555 |
ENDIF |
556 |
|
557 |
#ifdef ALLOW_DIAGNOSTICS |
558 |
IF (useDiagnostics) THEN |
559 |
CALL DIAGNOSTICS_FILL(viscAh_D,'VISCAHD ',k,1,2,bi,bj,myThid) |
560 |
CALL DIAGNOSTICS_FILL(viscA4_D,'VISCA4D ',k,1,2,bi,bj,myThid) |
561 |
CALL DIAGNOSTICS_FILL(viscAh_Z,'VISCAHZ ',k,1,2,bi,bj,myThid) |
562 |
CALL DIAGNOSTICS_FILL(viscA4_Z,'VISCA4Z ',k,1,2,bi,bj,myThid) |
563 |
#ifdef ALLOW_NONHYDROSTATIC |
564 |
CALL DIAGNOSTICS_FILL(viscAh_W,'VISCAHW ',k,1,2,bi,bj,myThid) |
565 |
CALL DIAGNOSTICS_FILL(viscA4_W,'VISCA4W ',k,1,2,bi,bj,myThid) |
566 |
#endif |
567 |
|
568 |
CALL DIAGNOSTICS_FILL(viscAh_DMax,'VAHDMAX ',k,1,2,bi,bj,myThid) |
569 |
CALL DIAGNOSTICS_FILL(viscA4_DMax,'VA4DMAX ',k,1,2,bi,bj,myThid) |
570 |
CALL DIAGNOSTICS_FILL(viscAh_ZMax,'VAHZMAX ',k,1,2,bi,bj,myThid) |
571 |
CALL DIAGNOSTICS_FILL(viscA4_ZMax,'VA4ZMAX ',k,1,2,bi,bj,myThid) |
572 |
|
573 |
CALL DIAGNOSTICS_FILL(viscAh_DMin,'VAHDMIN ',k,1,2,bi,bj,myThid) |
574 |
CALL DIAGNOSTICS_FILL(viscA4_DMin,'VA4DMIN ',k,1,2,bi,bj,myThid) |
575 |
CALL DIAGNOSTICS_FILL(viscAh_ZMin,'VAHZMIN ',k,1,2,bi,bj,myThid) |
576 |
CALL DIAGNOSTICS_FILL(viscA4_ZMin,'VA4ZMIN ',k,1,2,bi,bj,myThid) |
577 |
|
578 |
CALL DIAGNOSTICS_FILL(viscAh_DLth,'VAHDLTH ',k,1,2,bi,bj,myThid) |
579 |
CALL DIAGNOSTICS_FILL(viscA4_DLth,'VA4DLTH ',k,1,2,bi,bj,myThid) |
580 |
CALL DIAGNOSTICS_FILL(viscAh_ZLth,'VAHZLTH ',k,1,2,bi,bj,myThid) |
581 |
CALL DIAGNOSTICS_FILL(viscA4_ZLth,'VA4ZLTH ',k,1,2,bi,bj,myThid) |
582 |
|
583 |
CALL DIAGNOSTICS_FILL(viscAh_DLthD,'VAHDLTHD' |
584 |
& ,k,1,2,bi,bj,myThid) |
585 |
CALL DIAGNOSTICS_FILL(viscA4_DLthD,'VA4DLTHD' |
586 |
& ,k,1,2,bi,bj,myThid) |
587 |
CALL DIAGNOSTICS_FILL(viscAh_ZLthD,'VAHZLTHD' |
588 |
& ,k,1,2,bi,bj,myThid) |
589 |
CALL DIAGNOSTICS_FILL(viscA4_ZLthD,'VA4ZLTHD' |
590 |
& ,k,1,2,bi,bj,myThid) |
591 |
|
592 |
CALL DIAGNOSTICS_FILL(viscAh_DSmg,'VAHDSMAG',k,1,2,bi,bj,myThid) |
593 |
CALL DIAGNOSTICS_FILL(viscA4_DSmg,'VA4DSMAG',k,1,2,bi,bj,myThid) |
594 |
CALL DIAGNOSTICS_FILL(viscAh_ZSmg,'VAHZSMAG',k,1,2,bi,bj,myThid) |
595 |
CALL DIAGNOSTICS_FILL(viscA4_ZSmg,'VA4ZSMAG',k,1,2,bi,bj,myThid) |
596 |
ENDIF |
597 |
#endif |
598 |
|
599 |
RETURN |
600 |
END |
601 |
|