| 1 |
heimbach |
1.24 |
C $Header: /u/gcmpack/MITgcm/pkg/mom_vecinv/mom_vi_hdissip.F,v 1.23 2005/03/28 15:40:20 adcroft Exp $ |
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jmc |
1.3 |
C $Name: $ |
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adcroft |
1.2 |
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adcroft |
1.8 |
#include "MOM_VECINV_OPTIONS.h" |
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adcroft |
1.2 |
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SUBROUTINE MOM_VI_HDISSIP( |
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I bi,bj,k, |
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I hDiv,vort3,hFacZ,dStar,zStar, |
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O uDissip,vDissip, |
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I myThid) |
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heimbach |
1.14 |
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cph( |
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jmc |
1.15 |
cph The following line was commented in the argument list |
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heimbach |
1.14 |
cph TAMC cannot digest commented lines within continuing lines |
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c I viscAh_Z,viscAh_D,viscA4_Z,viscA4_D, |
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cph) |
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adcroft |
1.2 |
IMPLICIT NONE |
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C |
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C Calculate horizontal dissipation terms |
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C [del^2 - del^4] (u,v) |
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C |
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C == Global variables == |
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#include "SIZE.h" |
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#include "GRID.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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C == Routine arguments == |
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INTEGER bi,bj,k |
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_RL 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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_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL dStar(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL zStar(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL uDissip(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vDissip(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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INTEGER myThid |
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C == Local variables == |
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jmc |
1.18 |
_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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adcroft |
1.2 |
INTEGER I,J |
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_RL Zip,Zij,Zpj,Dim,Dij,Dmj,uD2,vD2,uD4,vD4 |
| 48 |
jmc |
1.18 |
_RL Alin,AlinMin,AlinMax,Alth2,Alth4,grdVrt,grdDiv |
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baylor |
1.17 |
_RL vg2,vg2Min,vg2Max,vg4,vg4Min,vg4Max |
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adcroft |
1.23 |
_RL recip_dt,L2,L3,L4,L5,L2rdt,L4rdt |
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adcroft |
1.6 |
LOGICAL useVariableViscosity |
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adcroft |
1.23 |
LOGICAL useSophisticatedLengthScale |
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useSophisticatedLengthScale=.FALSE. |
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adcroft |
1.6 |
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useVariableViscosity= |
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jmc |
1.18 |
& (viscAhGrid.NE.0.) |
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& .OR.(viscA4Grid.NE.0.) |
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adcroft |
1.6 |
& .OR.(viscC2leith.NE.0.) |
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baylor |
1.17 |
& .OR.(viscC2leithD.NE.0.) |
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adcroft |
1.6 |
& .OR.(viscC4leith.NE.0.) |
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baylor |
1.17 |
& .OR.(viscC4leithD.NE.0.) |
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adcroft |
1.6 |
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IF (deltaTmom.NE.0.) THEN |
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adcroft |
1.20 |
recip_dt=1./deltaTmom |
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adcroft |
1.6 |
ELSE |
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adcroft |
1.20 |
recip_dt=0. |
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adcroft |
1.6 |
ENDIF |
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adcroft |
1.20 |
vg2=viscAhGrid*recip_dt |
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vg2Min=viscAhGridMin*recip_dt |
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vg2Max=viscAhGridMax*recip_dt |
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vg4=viscA4Grid*recip_dt |
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vg4Min=viscA4GridMin*recip_dt |
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vg4Max=viscA4GridMax*recip_dt |
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adcroft |
1.6 |
C - Viscosity |
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IF (useVariableViscosity) THEN |
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DO j=2-Oly,sNy+Oly-1 |
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DO i=2-Olx,sNx+Olx-1 |
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adcroft |
1.19 |
C These are (powers of) length scales used in the Leith viscosity calculation |
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L2=rA(i,j,bi,bj) |
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L3=(L2**1.5) |
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L4=(L2**2) |
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L5=0.125*(L2**2.5) |
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adcroft |
1.23 |
IF (useSophisticatedLengthScale) THEN |
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L2rdt=recip_dt/( 2.*(recip_DXF(I,J,bi,bj)**2 |
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& +recip_DYF(I,J,bi,bj)**2) ) |
| 89 |
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L4rdt=recip_dt/( 6.*(recip_DXF(I,J,bi,bj)**4 |
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& +recip_DYF(I,J,bi,bj)**4) |
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& +8.*((recip_DXF(I,J,bi,bj) |
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& *recip_DYF(I,J,bi,bj))**2) ) |
| 93 |
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ENDIF |
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adcroft |
1.20 |
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jmc |
1.18 |
IF (useFullLeith) THEN |
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baylor |
1.17 |
C This is the vector magnitude of the vorticity gradient squared |
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grdVrt=0.25*( |
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& ((vort3(i+1,j)-vort3(i,j))*recip_DXG(i,j,bi,bj))**2 |
| 99 |
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& +((vort3(i,j+1)-vort3(i,j))*recip_DYG(i,j,bi,bj))**2 |
| 100 |
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& +((vort3(i+1,j+1)-vort3(i,j+1))*recip_DXG(i,j+1,bi,bj))**2 |
| 101 |
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& +((vort3(i+1,j+1)-vort3(i+1,j))*recip_DYG(i+1,j,bi,bj))**2) |
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C This is the vector magnitude of grad (div.v) squared |
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C Using it in Leith serves to damp instabilities in w. |
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grdDiv=0.25*( |
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& ((hDiv(i+1,j)-hDiv(i,j))*recip_DXG(i,j,bi,bj))**2 |
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& +((hDiv(i,j+1)-hDiv(i,j))*recip_DYG(i,j,bi,bj))**2 |
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& +((hDiv(i-1,j)-hDiv(i,j))*recip_DXG(i-1,j,bi,bj))**2 |
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& +((hDiv(i,j-1)-hDiv(i,j))*recip_DYG(i,j-1,bi,bj))**2) |
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jmc |
1.18 |
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heimbach |
1.24 |
IF ( (viscC2leith**2*grdVrt+viscC2leithD**2*grdDiv) |
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& .NE. 0. ) THEN |
| 113 |
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Alth2=sqrt(viscC2leith**2*grdVrt+viscC2leithD**2*grdDiv)*L3 |
| 114 |
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ELSE |
| 115 |
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Alth2=0. _d 0 |
| 116 |
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ENDIF |
| 117 |
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IF ( (viscC4leith**2*grdVrt+viscC4leithD**2*grdDiv) |
| 118 |
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& .NE. 0. ) THEN |
| 119 |
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Alth4=sqrt(viscC4leith**2*grdVrt+viscC4leithD**2*grdDiv)*L5 |
| 120 |
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ELSE |
| 121 |
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Alth4=0. _d 0 |
| 122 |
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ENDIF |
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baylor |
1.17 |
ELSE |
| 124 |
jmc |
1.18 |
C but this approximation will work on cube |
| 125 |
baylor |
1.17 |
c (and differs by as much as 4X) |
| 126 |
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grdVrt=abs((vort3(i+1,j)-vort3(i,j))*recip_DXG(i,j,bi,bj)) |
| 127 |
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grdVrt=max(grdVrt, |
| 128 |
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& abs((vort3(i,j+1)-vort3(i,j))*recip_DYG(i,j,bi,bj))) |
| 129 |
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grdVrt=max(grdVrt, |
| 130 |
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& abs((vort3(i+1,j+1)-vort3(i,j+1))*recip_DXG(i,j+1,bi,bj))) |
| 131 |
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grdVrt=max(grdVrt, |
| 132 |
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& abs((vort3(i+1,j+1)-vort3(i+1,j))*recip_DYG(i+1,j,bi,bj))) |
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jmc |
1.18 |
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baylor |
1.21 |
grdDiv=abs((hDiv(i+1,j)-hDiv(i,j))*recip_DXG(i,j,bi,bj)) |
| 135 |
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grdDiv=max(grdDiv, |
| 136 |
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& abs((hDiv(i,j+1)-hDiv(i,j))*recip_DYG(i,j,bi,bj))) |
| 137 |
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grdDiv=max(grdDiv, |
| 138 |
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& abs((hDiv(i-1,j)-hDiv(i,j))*recip_DXG(i-1,j,bi,bj))) |
| 139 |
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grdDiv=max(grdDiv, |
| 140 |
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& abs((hDiv(i,j-1)-hDiv(i,j))*recip_DYG(i,j-1,bi,bj))) |
| 141 |
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baylor |
1.22 |
c This approximation is good to the same order as above... |
| 143 |
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Alth2=(viscC2leith*grdVrt+(viscC2leithD*grdDiv))*L3 |
| 144 |
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Alth4=(viscC4leith*grdVrt+(viscC4leithD*grdDiv))*L5 |
| 145 |
baylor |
1.17 |
ENDIF |
| 146 |
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| 147 |
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C Harmonic Modified Leith on Div.u points |
| 148 |
adcroft |
1.19 |
Alin=viscAhD+vg2*L2+Alth2 |
| 149 |
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viscAh_D(i,j)=min(viscAhMax,Alin) |
| 150 |
adcroft |
1.23 |
IF (useSophisticatedLengthScale) THEN |
| 151 |
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IF (viscAhGridMax.GT.0.) THEN |
| 152 |
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AlinMax=viscAhGridMax*L2rdt |
| 153 |
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viscAh_D(i,j)=min(AlinMax,viscAh_D(i,j)) |
| 154 |
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ENDIF |
| 155 |
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ELSE |
| 156 |
baylor |
1.17 |
IF (vg2Max.GT.0.) THEN |
| 157 |
adcroft |
1.19 |
AlinMax=vg2Max*L2 |
| 158 |
baylor |
1.17 |
viscAh_D(i,j)=min(AlinMax,viscAh_D(i,j)) |
| 159 |
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ENDIF |
| 160 |
adcroft |
1.23 |
ENDIF |
| 161 |
adcroft |
1.19 |
AlinMin=vg2Min*L2 |
| 162 |
baylor |
1.17 |
viscAh_D(i,j)=max(AlinMin,viscAh_D(i,j)) |
| 163 |
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| 164 |
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C BiHarmonic Modified Leith on Div.u points |
| 165 |
adcroft |
1.19 |
Alin=viscA4D+vg4*L4+Alth4 |
| 166 |
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viscA4_D(i,j)=min(viscA4Max,Alin) |
| 167 |
adcroft |
1.23 |
IF (useSophisticatedLengthScale) THEN |
| 168 |
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IF (viscA4GridMax.GT.0.) THEN |
| 169 |
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AlinMax=viscA4GridMax*L4rdt |
| 170 |
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viscA4_D(i,j)=min(AlinMax,viscA4_D(i,j)) |
| 171 |
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ENDIF |
| 172 |
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ELSE |
| 173 |
dimitri |
1.13 |
IF (vg4Max.GT.0.) THEN |
| 174 |
adcroft |
1.19 |
AlinMax=vg4Max*L4 |
| 175 |
dimitri |
1.13 |
viscA4_D(i,j)=min(AlinMax,viscA4_D(i,j)) |
| 176 |
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ENDIF |
| 177 |
adcroft |
1.23 |
ENDIF |
| 178 |
adcroft |
1.19 |
AlinMin=vg4Min*L4 |
| 179 |
dimitri |
1.13 |
viscA4_D(i,j)=max(AlinMin,viscA4_D(i,j)) |
| 180 |
adcroft |
1.6 |
|
| 181 |
adcroft |
1.19 |
C These are (powers of) length scales used in the Leith viscosity calculation |
| 182 |
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L2=rAz(i,j,bi,bj) |
| 183 |
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L3=(L2**1.5) |
| 184 |
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L4=(L2**2) |
| 185 |
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L5=0.125*(L2**2.5) |
| 186 |
adcroft |
1.23 |
IF (useSophisticatedLengthScale) THEN |
| 187 |
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L2rdt=recip_dt/( 2.*(recip_DXV(I,J,bi,bj)**2 |
| 188 |
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& +recip_DYU(I,J,bi,bj)**2) ) |
| 189 |
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L4rdt=recip_dt/( 6.*(recip_DXV(I,J,bi,bj)**4 |
| 190 |
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& +recip_DYU(I,J,bi,bj)**4) |
| 191 |
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& +8.*((recip_DXV(I,J,bi,bj) |
| 192 |
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& *recip_DYU(I,J,bi,bj))**2) ) |
| 193 |
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ENDIF |
| 194 |
adcroft |
1.19 |
|
| 195 |
baylor |
1.17 |
C This is the vector magnitude of the vorticity gradient squared |
| 196 |
jmc |
1.18 |
IF (useFullLeith) THEN |
| 197 |
baylor |
1.17 |
grdVrt=0.25*( |
| 198 |
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& ((vort3(i+1,j)-vort3(i,j))*recip_DXG(i,j,bi,bj))**2 |
| 199 |
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& +((vort3(i,j+1)-vort3(i,j))*recip_DYG(i,j,bi,bj))**2 |
| 200 |
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& +((vort3(i-1,j)-vort3(i,j))*recip_DXG(i-1,j,bi,bj))**2 |
| 201 |
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& +((vort3(i,j-1)-vort3(i,j))*recip_DYG(i,j-1,bi,bj))**2) |
| 202 |
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| 203 |
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C This is the vector magnitude of grad(div.v) squared |
| 204 |
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grdDiv=0.25*( |
| 205 |
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& ((hDiv(i+1,j)-hDiv(i,j))*recip_DXG(i,j,bi,bj))**2 |
| 206 |
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& +((hDiv(i,j+1)-hDiv(i,j))*recip_DYG(i,j,bi,bj))**2 |
| 207 |
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& +((hDiv(i+1,j+1)-hDiv(i,j+1))*recip_DXG(i,j+1,bi,bj))**2 |
| 208 |
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& +((hDiv(i+1,j+1)-hDiv(i+1,j))*recip_DYG(i+1,j,bi,bj))**2) |
| 209 |
jmc |
1.18 |
|
| 210 |
heimbach |
1.24 |
IF ( (viscC2leith**2*grdVrt+viscC2leithD**2*grdDiv) |
| 211 |
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& .NE. 0. ) THEN |
| 212 |
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Alth2=sqrt(viscC2leith**2*grdVrt+viscC2leithD**2*grdDiv)*L3 |
| 213 |
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ELSE |
| 214 |
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Alth2=0. _d 0 |
| 215 |
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ENDIF |
| 216 |
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IF ( (viscC4leith**2*grdVrt+viscC4leithD**2*grdDiv) |
| 217 |
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& .NE. 0. ) THEN |
| 218 |
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Alth4=sqrt(viscC4leith**2*grdVrt+viscC4leithD**2*grdDiv)*L5 |
| 219 |
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ELSE |
| 220 |
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Alth4=0. _d 0 |
| 221 |
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ENDIF |
| 222 |
baylor |
1.17 |
ELSE |
| 223 |
adcroft |
1.6 |
C but this approximation will work on cube (and differs by as much as 4X) |
| 224 |
baylor |
1.17 |
grdVrt=abs((vort3(i+1,j)-vort3(i,j))*recip_DXG(i,j,bi,bj)) |
| 225 |
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grdVrt=max(grdVrt, |
| 226 |
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& abs((vort3(i,j+1)-vort3(i,j))*recip_DYG(i,j,bi,bj))) |
| 227 |
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grdVrt=max(grdVrt, |
| 228 |
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& abs((vort3(i-1,j)-vort3(i,j))*recip_DXG(i-1,j,bi,bj))) |
| 229 |
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grdVrt=max(grdVrt, |
| 230 |
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& abs((vort3(i,j-1)-vort3(i,j))*recip_DYG(i,j-1,bi,bj))) |
| 231 |
jmc |
1.18 |
|
| 232 |
baylor |
1.21 |
grdDiv=abs((hDiv(i+1,j)-hDiv(i,j))*recip_DXG(i,j,bi,bj)) |
| 233 |
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grdDiv=max(grdDiv, |
| 234 |
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& abs((hDiv(i,j+1)-hDiv(i,j))*recip_DYG(i,j,bi,bj))) |
| 235 |
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grdDiv=max(grdDiv, |
| 236 |
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& abs((hDiv(i+1,j+1)-hDiv(i,j+1))*recip_DXG(i-1,j,bi,bj))) |
| 237 |
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grdDiv=max(grdDiv, |
| 238 |
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& abs((hDiv(i+1,j+1)-hDiv(i+1,j))*recip_DYG(i,j-1,bi,bj))) |
| 239 |
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| 240 |
|
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C This if statement is just to prevent bitwise changes when leithd=0 |
| 241 |
baylor |
1.22 |
Alth2=(viscC2leith*grdVrt+(viscC2leithD*grdDiv))*L3 |
| 242 |
|
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Alth4=(viscC4leith*grdVrt+(viscC4leithD*grdDiv))*L5 |
| 243 |
baylor |
1.17 |
ENDIF |
| 244 |
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|
| 245 |
|
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C Harmonic Modified Leith on Zeta points |
| 246 |
adcroft |
1.19 |
Alin=viscAhZ+vg2*L2+Alth2 |
| 247 |
|
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viscAh_Z(i,j)=min(viscAhMax,Alin) |
| 248 |
adcroft |
1.23 |
IF (useSophisticatedLengthScale) THEN |
| 249 |
|
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IF (viscAhGridMax.GT.0.) THEN |
| 250 |
|
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AlinMax=viscAhGridMax*L2rdt |
| 251 |
|
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viscAh_Z(i,j)=min(AlinMax,viscAh_Z(i,j)) |
| 252 |
|
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ENDIF |
| 253 |
|
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ELSE |
| 254 |
baylor |
1.17 |
IF (vg2Max.GT.0.) THEN |
| 255 |
adcroft |
1.19 |
AlinMax=vg2Max*L2 |
| 256 |
baylor |
1.17 |
viscAh_Z(i,j)=min(AlinMax,viscAh_Z(i,j)) |
| 257 |
|
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ENDIF |
| 258 |
adcroft |
1.23 |
ENDIF |
| 259 |
adcroft |
1.19 |
AlinMin=vg2Min*L2 |
| 260 |
baylor |
1.17 |
viscAh_Z(i,j)=max(AlinMin,viscAh_Z(i,j)) |
| 261 |
adcroft |
1.6 |
|
| 262 |
baylor |
1.17 |
C BiHarmonic Modified Leith on Zeta Points |
| 263 |
adcroft |
1.19 |
Alin=viscA4Z+vg4*L4+Alth4 |
| 264 |
|
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viscA4_Z(i,j)=min(viscA4Max,Alin) |
| 265 |
adcroft |
1.23 |
IF (useSophisticatedLengthScale) THEN |
| 266 |
|
|
IF (viscA4GridMax.GT.0.) THEN |
| 267 |
|
|
AlinMax=viscA4GridMax*L4rdt |
| 268 |
|
|
viscA4_Z(i,j)=min(AlinMax,viscA4_Z(i,j)) |
| 269 |
|
|
ENDIF |
| 270 |
|
|
ELSE |
| 271 |
dimitri |
1.13 |
IF (vg4Max.GT.0.) THEN |
| 272 |
adcroft |
1.19 |
AlinMax=vg4Max*L4 |
| 273 |
dimitri |
1.13 |
viscA4_Z(i,j)=min(AlinMax,viscA4_Z(i,j)) |
| 274 |
|
|
ENDIF |
| 275 |
adcroft |
1.23 |
ENDIF |
| 276 |
adcroft |
1.19 |
AlinMin=vg4Min*L4 |
| 277 |
dimitri |
1.13 |
viscA4_Z(i,j)=max(AlinMin,viscA4_Z(i,j)) |
| 278 |
adcroft |
1.6 |
ENDDO |
| 279 |
|
|
ENDDO |
| 280 |
|
|
ELSE |
| 281 |
|
|
DO j=1-Oly,sNy+Oly |
| 282 |
|
|
DO i=1-Olx,sNx+Olx |
| 283 |
jmc |
1.12 |
viscAh_D(i,j)=viscAhD |
| 284 |
|
|
viscAh_Z(i,j)=viscAhZ |
| 285 |
|
|
viscA4_D(i,j)=viscA4D |
| 286 |
|
|
viscA4_Z(i,j)=viscA4Z |
| 287 |
adcroft |
1.6 |
ENDDO |
| 288 |
|
|
ENDDO |
| 289 |
|
|
ENDIF |
| 290 |
adcroft |
1.2 |
|
| 291 |
jmc |
1.12 |
C - Laplacian terms |
| 292 |
|
|
IF ( viscC2leith.NE.0. .OR. viscAhGrid.NE.0. |
| 293 |
|
|
& .OR. viscAhD.NE.0. .OR. viscAhZ.NE.0. ) THEN |
| 294 |
|
|
DO j=2-Oly,sNy+Oly-1 |
| 295 |
|
|
DO i=2-Olx,sNx+Olx-1 |
| 296 |
|
|
|
| 297 |
|
|
Dim=hDiv( i ,j-1) |
| 298 |
|
|
Dij=hDiv( i , j ) |
| 299 |
|
|
Dmj=hDiv(i-1, j ) |
| 300 |
|
|
Zip=hFacZ( i ,j+1)*vort3( i ,j+1) |
| 301 |
|
|
Zij=hFacZ( i , j )*vort3( i , j ) |
| 302 |
|
|
Zpj=hFacZ(i+1, j )*vort3(i+1, j ) |
| 303 |
adcroft |
1.2 |
|
| 304 |
adcroft |
1.4 |
C This bit scales the harmonic dissipation operator to be proportional |
| 305 |
|
|
C to the grid-cell area over the time-step. viscAh is then non-dimensional |
| 306 |
|
|
C and should be less than 1/8, for example viscAh=0.01 |
| 307 |
jmc |
1.12 |
IF (useVariableViscosity) THEN |
| 308 |
adcroft |
1.6 |
Dij=Dij*viscAh_D(i,j) |
| 309 |
|
|
Dim=Dim*viscAh_D(i,j-1) |
| 310 |
|
|
Dmj=Dmj*viscAh_D(i-1,j) |
| 311 |
|
|
Zij=Zij*viscAh_Z(i,j) |
| 312 |
|
|
Zip=Zip*viscAh_Z(i,j+1) |
| 313 |
|
|
Zpj=Zpj*viscAh_Z(i+1,j) |
| 314 |
adcroft |
1.4 |
uD2 = ( |
| 315 |
|
|
& cosFacU(j,bi,bj)*( Dij-Dmj )*recip_DXC(i,j,bi,bj) |
| 316 |
|
|
& -recip_hFacW(i,j,k,bi,bj)*( Zip-Zij )*recip_DYG(i,j,bi,bj) ) |
| 317 |
|
|
vD2 = ( |
| 318 |
|
|
& recip_hFacS(i,j,k,bi,bj)*( Zpj-Zij )*recip_DXG(i,j,bi,bj) |
| 319 |
|
|
& *cosFacV(j,bi,bj) |
| 320 |
|
|
& +( Dij-Dim )*recip_DYC(i,j,bi,bj) ) |
| 321 |
jmc |
1.12 |
ELSE |
| 322 |
|
|
uD2 = viscAhD* |
| 323 |
adcroft |
1.2 |
& cosFacU(j,bi,bj)*( Dij-Dmj )*recip_DXC(i,j,bi,bj) |
| 324 |
jmc |
1.12 |
& - viscAhZ*recip_hFacW(i,j,k,bi,bj)* |
| 325 |
|
|
& ( Zip-Zij )*recip_DYG(i,j,bi,bj) |
| 326 |
|
|
vD2 = viscAhZ*recip_hFacS(i,j,k,bi,bj)* |
| 327 |
|
|
& cosFacV(j,bi,bj)*( Zpj-Zij )*recip_DXG(i,j,bi,bj) |
| 328 |
|
|
& + viscAhD* ( Dij-Dim )*recip_DYC(i,j,bi,bj) |
| 329 |
|
|
ENDIF |
| 330 |
|
|
|
| 331 |
|
|
uDissip(i,j) = uD2 |
| 332 |
|
|
vDissip(i,j) = vD2 |
| 333 |
|
|
|
| 334 |
|
|
ENDDO |
| 335 |
|
|
ENDDO |
| 336 |
|
|
ELSE |
| 337 |
|
|
DO j=2-Oly,sNy+Oly-1 |
| 338 |
|
|
DO i=2-Olx,sNx+Olx-1 |
| 339 |
|
|
uDissip(i,j) = 0. |
| 340 |
|
|
vDissip(i,j) = 0. |
| 341 |
|
|
ENDDO |
| 342 |
|
|
ENDDO |
| 343 |
|
|
ENDIF |
| 344 |
|
|
|
| 345 |
|
|
C - Bi-harmonic terms |
| 346 |
|
|
IF ( viscC4leith.NE.0. .OR. viscA4Grid.NE.0. |
| 347 |
|
|
& .OR. viscA4D.NE.0. .OR. viscA4Z.NE.0. ) THEN |
| 348 |
|
|
DO j=2-Oly,sNy+Oly-1 |
| 349 |
|
|
DO i=2-Olx,sNx+Olx-1 |
| 350 |
adcroft |
1.2 |
|
| 351 |
jmc |
1.11 |
#ifdef MOM_VI_ORIGINAL_VISCA4 |
| 352 |
jmc |
1.12 |
Dim=dyF( i ,j-1,bi,bj)*dStar( i ,j-1) |
| 353 |
|
|
Dij=dyF( i , j ,bi,bj)*dStar( i , j ) |
| 354 |
|
|
Dmj=dyF(i-1, j ,bi,bj)*dStar(i-1, j ) |
| 355 |
|
|
|
| 356 |
|
|
Zip=dxV( i ,j+1,bi,bj)*hFacZ( i ,j+1)*zStar( i ,j+1) |
| 357 |
|
|
Zij=dxV( i , j ,bi,bj)*hFacZ( i , j )*zStar( i , j ) |
| 358 |
|
|
Zpj=dxV(i+1, j ,bi,bj)*hFacZ(i+1, j )*zStar(i+1, j ) |
| 359 |
jmc |
1.11 |
#else |
| 360 |
jmc |
1.12 |
Dim=dStar( i ,j-1) |
| 361 |
|
|
Dij=dStar( i , j ) |
| 362 |
|
|
Dmj=dStar(i-1, j ) |
| 363 |
|
|
|
| 364 |
|
|
Zip=hFacZ( i ,j+1)*zStar( i ,j+1) |
| 365 |
|
|
Zij=hFacZ( i , j )*zStar( i , j ) |
| 366 |
|
|
Zpj=hFacZ(i+1, j )*zStar(i+1, j ) |
| 367 |
jmc |
1.11 |
#endif |
| 368 |
|
|
|
| 369 |
adcroft |
1.4 |
C This bit scales the harmonic dissipation operator to be proportional |
| 370 |
|
|
C to the grid-cell area over the time-step. viscAh is then non-dimensional |
| 371 |
|
|
C and should be less than 1/8, for example viscAh=0.01 |
| 372 |
jmc |
1.12 |
IF (useVariableViscosity) THEN |
| 373 |
adcroft |
1.6 |
Dij=Dij*viscA4_D(i,j) |
| 374 |
|
|
Dim=Dim*viscA4_D(i,j-1) |
| 375 |
|
|
Dmj=Dmj*viscA4_D(i-1,j) |
| 376 |
|
|
Zij=Zij*viscA4_Z(i,j) |
| 377 |
|
|
Zip=Zip*viscA4_Z(i,j+1) |
| 378 |
|
|
Zpj=Zpj*viscA4_Z(i+1,j) |
| 379 |
jmc |
1.11 |
|
| 380 |
|
|
#ifdef MOM_VI_ORIGINAL_VISCA4 |
| 381 |
adcroft |
1.4 |
uD4 = recip_rAw(i,j,bi,bj)*( |
| 382 |
|
|
& ( (Dij-Dmj)*cosFacU(j,bi,bj) ) |
| 383 |
|
|
& -recip_hFacW(i,j,k,bi,bj)*( Zip-Zij ) ) |
| 384 |
|
|
vD4 = recip_rAs(i,j,bi,bj)*( |
| 385 |
|
|
& recip_hFacS(i,j,k,bi,bj)*( (Zpj-Zij)*cosFacV(j,bi,bj) ) |
| 386 |
|
|
& + ( Dij-Dim ) ) |
| 387 |
jmc |
1.12 |
ELSE |
| 388 |
adcroft |
1.4 |
uD4 = recip_rAw(i,j,bi,bj)*( |
| 389 |
adcroft |
1.2 |
& viscA4*( (Dij-Dmj)*cosFacU(j,bi,bj) ) |
| 390 |
|
|
& -recip_hFacW(i,j,k,bi,bj)*viscA4*( Zip-Zij ) ) |
| 391 |
adcroft |
1.4 |
vD4 = recip_rAs(i,j,bi,bj)*( |
| 392 |
adcroft |
1.2 |
& recip_hFacS(i,j,k,bi,bj)*viscA4*( (Zpj-Zij)*cosFacV(j,bi,bj) ) |
| 393 |
|
|
& + viscA4*( Dij-Dim ) ) |
| 394 |
jmc |
1.11 |
#else /* MOM_VI_ORIGINAL_VISCA4 */ |
| 395 |
|
|
uD4 = ( |
| 396 |
|
|
& cosFacU(j,bi,bj)*( Dij-Dmj )*recip_DXC(i,j,bi,bj) |
| 397 |
|
|
& -recip_hFacW(i,j,k,bi,bj)*( Zip-Zij )*recip_DYG(i,j,bi,bj) ) |
| 398 |
|
|
vD4 = ( |
| 399 |
|
|
& recip_hFacS(i,j,k,bi,bj)*( Zpj-Zij )*recip_DXG(i,j,bi,bj) |
| 400 |
|
|
& *cosFacV(j,bi,bj) |
| 401 |
|
|
& +( Dij-Dim )*recip_DYC(i,j,bi,bj) ) |
| 402 |
jmc |
1.12 |
ELSE |
| 403 |
jmc |
1.18 |
uD4 = viscA4D* |
| 404 |
jmc |
1.11 |
& cosFacU(j,bi,bj)*( Dij-Dmj )*recip_DXC(i,j,bi,bj) |
| 405 |
jmc |
1.12 |
& - viscA4Z*recip_hFacW(i,j,k,bi,bj)* |
| 406 |
|
|
& ( Zip-Zij )*recip_DYG(i,j,bi,bj) |
| 407 |
|
|
vD4 = viscA4Z*recip_hFacS(i,j,k,bi,bj)* |
| 408 |
|
|
& cosFacV(j,bi,bj)*( Zpj-Zij )*recip_DXG(i,j,bi,bj) |
| 409 |
|
|
& + viscA4D* ( Dij-Dim )*recip_DYC(i,j,bi,bj) |
| 410 |
jmc |
1.11 |
#endif /* MOM_VI_ORIGINAL_VISCA4 */ |
| 411 |
jmc |
1.12 |
ENDIF |
| 412 |
adcroft |
1.2 |
|
| 413 |
jmc |
1.12 |
uDissip(i,j) = uDissip(i,j) - uD4 |
| 414 |
|
|
vDissip(i,j) = vDissip(i,j) - vD4 |
| 415 |
adcroft |
1.2 |
|
| 416 |
jmc |
1.12 |
ENDDO |
| 417 |
adcroft |
1.2 |
ENDDO |
| 418 |
jmc |
1.12 |
ENDIF |
| 419 |
molod |
1.7 |
|
| 420 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
| 421 |
jmc |
1.15 |
IF (useDiagnostics) THEN |
| 422 |
jmc |
1.16 |
CALL DIAGNOSTICS_FILL(viscAh_D,'VISCAH ',k,1,2,bi,bj,myThid) |
| 423 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_D,'VISCA4 ',k,1,2,bi,bj,myThid) |
| 424 |
jmc |
1.15 |
ENDIF |
| 425 |
molod |
1.7 |
#endif |
| 426 |
adcroft |
1.2 |
|
| 427 |
|
|
RETURN |
| 428 |
|
|
END |
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