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jmc |
1.14 |
C $Header: $ |
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C $Name: $ |
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baylor |
1.1 |
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#include "MOM_COMMON_OPTIONS.h" |
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baylor |
1.5 |
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baylor |
1.1 |
SUBROUTINE MOM_CALC_VISC( |
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I bi,bj,k, |
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O viscAh_Z,viscAh_D,viscA4_Z,viscA4_D, |
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O harmonic,biharmonic,useVariableViscosity, |
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jmc |
1.12 |
I hDiv,vort3,tension,strain,KE,hFacZ, |
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baylor |
1.1 |
I myThid) |
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IMPLICIT NONE |
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baylor |
1.5 |
C |
16 |
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C Calculate horizontal viscosities (L is typical grid width) |
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C harmonic viscosity= |
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C viscAh (or viscAhD on div pts and viscAhZ on zeta pts) |
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C +0.25*L**2*viscAhGrid/deltaT |
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C +sqrt(viscC2leith**2*grad(Vort3)**2 |
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C +viscC2leithD**2*grad(hDiv)**2)*L**3 |
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C +(viscC2smag/pi)**2*L**2*sqrt(Tension**2+Strain**2) |
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C |
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C biharmonic viscosity= |
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C viscA4 (or viscA4D on div pts and viscA4Z on zeta pts) |
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C +0.25*0.125*L**4*viscA4Grid/deltaT (approx) |
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C +0.125*L**5*sqrt(viscC4leith**2*grad(Vort3)**2 |
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C +viscC4leithD**2*grad(hDiv)**2) |
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C +0.125*L**4*(viscC4smag/pi)**2*sqrt(Tension**2+Strain**2) |
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C |
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C Note that often 0.125*L**2 is the scale between harmonic and |
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C biharmonic (see Griffies and Hallberg (2000)) |
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C This allows the same value of the coefficient to be used |
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C for roughly similar results with biharmonic and harmonic |
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C |
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C LIMITERS -- limit min and max values of viscosities |
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C viscAhRemax is min value for grid point harmonic Reynolds num |
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baylor |
1.9 |
C harmonic viscosity>sqrt(2*KE)*L/viscAhRemax |
39 |
baylor |
1.5 |
C |
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C viscA4Remax is min value for grid point biharmonic Reynolds num |
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baylor |
1.9 |
C biharmonic viscosity>sqrt(2*KE)*L**3/8/viscA4Remax |
42 |
baylor |
1.5 |
C |
43 |
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C viscAhgridmax is CFL stability limiter for harmonic viscosity |
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C harmonic viscosity<0.25*viscAhgridmax*L**2/deltaT |
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C |
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C viscA4gridmax is CFL stability limiter for biharmonic viscosity |
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C biharmonic viscosity<viscA4gridmax*L**4/32/deltaT (approx) |
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C |
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C viscAhgridmin and viscA4gridmin are lower limits for viscosity: |
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C harmonic viscosity>0.25*viscAhgridmax*L**2/deltaT |
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C biharmonic viscosity>viscA4gridmax*L**4/32/deltaT (approx) |
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C |
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C RECOMMENDED VALUES |
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C viscC2Leith=? |
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C viscC2LeithD=? |
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C viscC4Leith=? |
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C viscC4LeithD=? |
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C viscC2smag=2.2-4 (Griffies and Hallberg,2000) |
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C 0.2-0.9 (Smagorinsky,1993) |
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C viscC4smag=2.2-4 (Griffies and Hallberg,2000) |
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baylor |
1.9 |
C viscAhRemax>=1, (<2 suppresses a computational mode) |
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C viscA4Remax>=1, (<2 suppresses a computational mode) |
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baylor |
1.5 |
C viscAhgridmax=1 |
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C viscA4gridmax=1 |
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C viscAhgrid<1 |
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C viscA4grid<1 |
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C viscAhgridmin<<1 |
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C viscA4gridmin<<1 |
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baylor |
1.1 |
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C == Global variables == |
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#include "SIZE.h" |
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#include "GRID.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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C == Routine arguments == |
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INTEGER bi,bj,k |
78 |
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_RL viscAh_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
79 |
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_RL viscAh_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
80 |
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_RL viscA4_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
81 |
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_RL viscA4_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
82 |
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_RL hDiv(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
83 |
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_RL vort3(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
84 |
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_RL tension(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
85 |
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_RL strain(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
86 |
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_RL KE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
87 |
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_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
88 |
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INTEGER myThid |
89 |
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LOGICAL harmonic,biharmonic,useVariableViscosity |
90 |
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91 |
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C == Local variables == |
92 |
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INTEGER I,J |
93 |
baylor |
1.5 |
_RL smag2fac, smag4fac |
94 |
baylor |
1.6 |
_RL viscAhRe_max, viscA4Re_max |
95 |
baylor |
1.13 |
_RL Alin,grdVrt,grdDiv |
96 |
baylor |
1.1 |
_RL recip_dt,L2,L3,L4,L5,L2rdt,L4rdt |
97 |
baylor |
1.5 |
_RL Uscl,U4scl |
98 |
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_RL viscAh_ZMax(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
99 |
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_RL viscAh_DMax(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
100 |
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_RL viscA4_ZMax(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
101 |
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_RL viscA4_DMax(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
102 |
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_RL viscAh_ZMin(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
103 |
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_RL viscAh_DMin(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
104 |
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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) |
106 |
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_RL viscAh_ZLth(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
107 |
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_RL viscAh_DLth(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
108 |
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_RL viscA4_ZLth(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
109 |
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_RL viscA4_DLth(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
110 |
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_RL viscAh_ZLthD(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
111 |
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_RL viscAh_DLthD(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
112 |
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_RL viscA4_ZLthD(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
113 |
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_RL viscA4_DLthD(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
114 |
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_RL viscAh_ZSmg(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
115 |
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_RL viscAh_DSmg(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
116 |
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_RL viscA4_ZSmg(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
117 |
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_RL viscA4_DSmg(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
118 |
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LOGICAL calcLeith,calcSmag |
119 |
baylor |
1.1 |
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120 |
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useVariableViscosity= |
121 |
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& (viscAhGrid.NE.0.) |
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& .OR.(viscA4Grid.NE.0.) |
123 |
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& .OR.(viscC2leith.NE.0.) |
124 |
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& .OR.(viscC2leithD.NE.0.) |
125 |
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& .OR.(viscC4leith.NE.0.) |
126 |
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& .OR.(viscC4leithD.NE.0.) |
127 |
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& .OR.(viscC2smag.NE.0.) |
128 |
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& .OR.(viscC4smag.NE.0.) |
129 |
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130 |
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harmonic= |
131 |
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& (viscAh.NE.0.) |
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& .OR.(viscAhD.NE.0.) |
133 |
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& .OR.(viscAhZ.NE.0.) |
134 |
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& .OR.(viscAhGrid.NE.0.) |
135 |
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& .OR.(viscC2leith.NE.0.) |
136 |
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& .OR.(viscC2leithD.NE.0.) |
137 |
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& .OR.(viscC2smag.NE.0.) |
138 |
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139 |
baylor |
1.9 |
IF ((harmonic).and.(viscAhremax.ne.0.)) THEN |
140 |
jmc |
1.10 |
viscAhre_max=sqrt(2. _d 0)/viscAhRemax |
141 |
baylor |
1.9 |
ELSE |
142 |
jmc |
1.10 |
viscAhre_max=0. _d 0 |
143 |
baylor |
1.9 |
ENDIF |
144 |
baylor |
1.5 |
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145 |
baylor |
1.1 |
biharmonic= |
146 |
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& (viscA4.NE.0.) |
147 |
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& .OR.(viscA4D.NE.0.) |
148 |
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& .OR.(viscA4Z.NE.0.) |
149 |
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& .OR.(viscA4Grid.NE.0.) |
150 |
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& .OR.(viscC4leith.NE.0.) |
151 |
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& .OR.(viscC4leithD.NE.0.) |
152 |
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& .OR.(viscC4smag.NE.0.) |
153 |
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154 |
baylor |
1.9 |
IF ((biharmonic).and.(viscA4remax.ne.0.)) THEN |
155 |
jmc |
1.10 |
viscA4re_max=0.125 _d 0*sqrt(2. _d 0)/viscA4Remax |
156 |
baylor |
1.9 |
ELSE |
157 |
jmc |
1.10 |
viscA4re_max=0. _d 0 |
158 |
baylor |
1.9 |
ENDIF |
159 |
baylor |
1.5 |
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160 |
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calcleith= |
161 |
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& (viscC2leith.NE.0.) |
162 |
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& .OR.(viscC2leithD.NE.0.) |
163 |
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& .OR.(viscC4leith.NE.0.) |
164 |
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& .OR.(viscC4leithD.NE.0.) |
165 |
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166 |
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calcsmag= |
167 |
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& (viscC2smag.NE.0.) |
168 |
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& .OR.(viscC4smag.NE.0.) |
169 |
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170 |
baylor |
1.1 |
IF (deltaTmom.NE.0.) THEN |
171 |
jmc |
1.10 |
recip_dt=1. _d 0/deltaTmom |
172 |
baylor |
1.1 |
ELSE |
173 |
jmc |
1.10 |
recip_dt=0. _d 0 |
174 |
baylor |
1.1 |
ENDIF |
175 |
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176 |
baylor |
1.5 |
IF (calcsmag) THEN |
177 |
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smag2fac=(viscC2smag/pi)**2 |
178 |
jmc |
1.10 |
smag4fac=0.125 _d 0*(viscC4smag/pi)**2 |
179 |
baylor |
1.9 |
ELSE |
180 |
jmc |
1.10 |
smag2fac=0. _d 0 |
181 |
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smag4fac=0. _d 0 |
182 |
baylor |
1.5 |
ENDIF |
183 |
baylor |
1.1 |
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184 |
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C - Viscosity |
185 |
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IF (useVariableViscosity) THEN |
186 |
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DO j=2-Oly,sNy+Oly-1 |
187 |
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DO i=2-Olx,sNx+Olx-1 |
188 |
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CCCCCCCCCCCCCCC Divergence Point CalculationsCCCCCCCCCCCCCCCCCCCC |
189 |
baylor |
1.5 |
|
190 |
baylor |
1.1 |
C These are (powers of) length scales |
191 |
baylor |
1.11 |
IF (useAreaViscLength) THEN |
192 |
jmc |
1.12 |
L2=rA(i,j,bi,bj) |
193 |
baylor |
1.11 |
ELSE |
194 |
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L2=2. _d 0/((recip_DXF(I,J,bi,bj)**2+recip_DYF(I,J,bi,bj)**2)) |
195 |
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ENDIF |
196 |
baylor |
1.1 |
L3=(L2**1.5) |
197 |
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L4=(L2**2) |
198 |
baylor |
1.5 |
L5=(L2**2.5) |
199 |
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200 |
jmc |
1.10 |
L2rdt=0.25 _d 0*recip_dt*L2 |
201 |
baylor |
1.5 |
|
202 |
baylor |
1.11 |
IF (useAreaViscLength) THEN |
203 |
jmc |
1.12 |
L4rdt=0.125 _d 0*recip_dt*rA(i,j,bi,bj)**2 |
204 |
baylor |
1.11 |
ELSE |
205 |
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L4rdt=recip_dt/( 6. _d 0*(recip_DXF(I,J,bi,bj)**4 |
206 |
jmc |
1.10 |
& +recip_DYF(I,J,bi,bj)**4) |
207 |
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& +8. _d 0*((recip_DXF(I,J,bi,bj) |
208 |
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& *recip_DYF(I,J,bi,bj))**2) ) |
209 |
baylor |
1.11 |
ENDIF |
210 |
baylor |
1.1 |
|
211 |
baylor |
1.5 |
C Velocity Reynolds Scale |
212 |
baylor |
1.9 |
Uscl=sqrt(KE(i,j)*L2)*viscAhRe_max |
213 |
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U4scl=sqrt(KE(i,j))*L3*viscA4Re_max |
214 |
baylor |
1.5 |
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215 |
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IF (useFullLeith.and.calcleith) THEN |
216 |
baylor |
1.1 |
C This is the vector magnitude of the vorticity gradient squared |
217 |
jmc |
1.10 |
grdVrt=0.25 _d 0*( |
218 |
baylor |
1.1 |
& ((vort3(i+1,j)-vort3(i,j))*recip_DXG(i,j,bi,bj))**2 |
219 |
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& +((vort3(i,j+1)-vort3(i,j))*recip_DYG(i,j,bi,bj))**2 |
220 |
baylor |
1.8 |
& +((vort3(i+1,j+1)-vort3(i,j+1)) |
221 |
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& *recip_DXG(i,j+1,bi,bj))**2 |
222 |
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& +((vort3(i+1,j+1)-vort3(i+1,j)) |
223 |
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& *recip_DYG(i+1,j,bi,bj))**2) |
224 |
baylor |
1.1 |
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225 |
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C This is the vector magnitude of grad (div.v) squared |
226 |
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C Using it in Leith serves to damp instabilities in w. |
227 |
jmc |
1.10 |
grdDiv=0.25 _d 0*( |
228 |
baylor |
1.5 |
& ((hDiv(i+1,j)-hDiv(i,j))*recip_DXC(i+1,j,bi,bj))**2 |
229 |
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& +((hDiv(i,j+1)-hDiv(i,j))*recip_DYC(i,j+1,bi,bj))**2 |
230 |
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& +((hDiv(i,j)-hDiv(i-1,j))*recip_DXC(i,j,bi,bj))**2 |
231 |
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& +((hDiv(i,j)-hDiv(i,j-1))*recip_DYC(i,j,bi,bj))**2) |
232 |
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233 |
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viscAh_DLth(i,j)= |
234 |
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& sqrt(viscC2leith**2*grdVrt+viscC2leithD**2*grdDiv)*L3 |
235 |
jmc |
1.10 |
viscA4_DLth(i,j)=0.125 _d 0* |
236 |
baylor |
1.5 |
& sqrt(viscC4leith**2*grdVrt+viscC4leithD**2*grdDiv)*L5 |
237 |
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viscAh_DLthd(i,j)= |
238 |
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& sqrt(viscC2leithD**2*grdDiv)*L3 |
239 |
jmc |
1.10 |
viscA4_DLthd(i,j)=0.125 _d 0* |
240 |
baylor |
1.5 |
& sqrt(viscC4leithD**2*grdDiv)*L5 |
241 |
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ELSEIF (calcleith) THEN |
242 |
baylor |
1.1 |
C but this approximation will work on cube |
243 |
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c (and differs by as much as 4X) |
244 |
baylor |
1.5 |
grdVrt=abs((vort3(i+1,j)-vort3(i,j))*recip_DXG(i,j,bi,bj)) |
245 |
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grdVrt=max(grdVrt, |
246 |
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& abs((vort3(i,j+1)-vort3(i,j))*recip_DYG(i,j,bi,bj))) |
247 |
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grdVrt=max(grdVrt, |
248 |
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& abs((vort3(i+1,j+1)-vort3(i,j+1))*recip_DXG(i,j+1,bi,bj))) |
249 |
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grdVrt=max(grdVrt, |
250 |
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& abs((vort3(i+1,j+1)-vort3(i+1,j))*recip_DYG(i+1,j,bi,bj))) |
251 |
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252 |
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grdDiv=abs((hDiv(i+1,j)-hDiv(i,j))*recip_DXC(i+1,j,bi,bj)) |
253 |
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grdDiv=max(grdDiv, |
254 |
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& abs((hDiv(i,j+1)-hDiv(i,j))*recip_DYC(i,j+1,bi,bj))) |
255 |
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grdDiv=max(grdDiv, |
256 |
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& abs((hDiv(i,j)-hDiv(i-1,j))*recip_DXC(i,j,bi,bj))) |
257 |
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grdDiv=max(grdDiv, |
258 |
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& abs((hDiv(i,j)-hDiv(i,j-1))*recip_DYC(i,j,bi,bj))) |
259 |
baylor |
1.1 |
|
260 |
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c This approximation is good to the same order as above... |
261 |
baylor |
1.5 |
viscAh_Dlth(i,j)= |
262 |
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& (viscC2leith*grdVrt+(viscC2leithD*grdDiv))*L3 |
263 |
jmc |
1.10 |
viscA4_Dlth(i,j)=0.125 _d 0* |
264 |
baylor |
1.5 |
& (viscC4leith*grdVrt+(viscC4leithD*grdDiv))*L5 |
265 |
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viscAh_DlthD(i,j)= |
266 |
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& ((viscC2leithD*grdDiv))*L3 |
267 |
jmc |
1.10 |
viscA4_DlthD(i,j)=0.125 _d 0* |
268 |
baylor |
1.5 |
& ((viscC4leithD*grdDiv))*L5 |
269 |
baylor |
1.1 |
ELSE |
270 |
jmc |
1.10 |
viscAh_Dlth(i,j)=0. _d 0 |
271 |
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viscA4_Dlth(i,j)=0. _d 0 |
272 |
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viscAh_DlthD(i,j)=0. _d 0 |
273 |
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viscA4_DlthD(i,j)=0. _d 0 |
274 |
baylor |
1.1 |
ENDIF |
275 |
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276 |
baylor |
1.5 |
IF (calcsmag) THEN |
277 |
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viscAh_DSmg(i,j)=L2 |
278 |
|
|
& *sqrt(tension(i,j)**2 |
279 |
jmc |
1.10 |
& +0.25 _d 0*(strain(i+1, j )**2+strain( i ,j+1)**2 |
280 |
|
|
& +strain(i , j )**2+strain(i+1,j+1)**2)) |
281 |
baylor |
1.5 |
viscA4_DSmg(i,j)=smag4fac*L2*viscAh_DSmg(i,j) |
282 |
|
|
viscAh_DSmg(i,j)=smag2fac*viscAh_DSmg(i,j) |
283 |
baylor |
1.1 |
ELSE |
284 |
jmc |
1.10 |
viscAh_DSmg(i,j)=0. _d 0 |
285 |
|
|
viscA4_DSmg(i,j)=0. _d 0 |
286 |
baylor |
1.1 |
ENDIF |
287 |
|
|
|
288 |
|
|
C Harmonic on Div.u points |
289 |
baylor |
1.5 |
Alin=viscAhD+viscAhGrid*L2rdt |
290 |
|
|
& +viscAh_DLth(i,j)+viscAh_DSmg(i,j) |
291 |
|
|
viscAh_DMin(i,j)=max(viscAhGridMin*L2rdt,Uscl) |
292 |
|
|
viscAh_D(i,j)=max(viscAh_DMin(i,j),Alin) |
293 |
|
|
viscAh_DMax(i,j)=min(viscAhGridMax*L2rdt,viscAhMax) |
294 |
|
|
viscAh_D(i,j)=min(viscAh_DMax(i,j),viscAh_D(i,j)) |
295 |
baylor |
1.1 |
|
296 |
|
|
C BiHarmonic on Div.u points |
297 |
baylor |
1.5 |
Alin=viscA4D+viscA4Grid*L4rdt |
298 |
|
|
& +viscA4_DLth(i,j)+viscA4_DSmg(i,j) |
299 |
|
|
viscA4_DMin(i,j)=max(viscA4GridMin*L4rdt,U4scl) |
300 |
|
|
viscA4_D(i,j)=max(viscA4_DMin(i,j),Alin) |
301 |
|
|
viscA4_DMax(i,j)=min(viscA4GridMax*L4rdt,viscA4Max) |
302 |
|
|
viscA4_D(i,j)=min(viscA4_DMax(i,j),viscA4_D(i,j)) |
303 |
baylor |
1.1 |
|
304 |
|
|
CCCCCCCCCCCCC Vorticity Point CalculationsCCCCCCCCCCCCCCCCCC |
305 |
|
|
C These are (powers of) length scales |
306 |
baylor |
1.11 |
IF (useAreaViscLength) THEN |
307 |
jmc |
1.12 |
L2=rAz(i,j,bi,bj) |
308 |
baylor |
1.11 |
ELSE |
309 |
jmc |
1.12 |
L2=2. _d 0/((recip_DXV(I,J,bi,bj)**2+recip_DYU(I,J,bi,bj)**2)) |
310 |
baylor |
1.11 |
ENDIF |
311 |
|
|
|
312 |
baylor |
1.1 |
L3=(L2**1.5) |
313 |
|
|
L4=(L2**2) |
314 |
baylor |
1.5 |
L5=(L2**2.5) |
315 |
|
|
|
316 |
jmc |
1.10 |
L2rdt=0.25 _d 0*recip_dt*L2 |
317 |
baylor |
1.11 |
IF (useAreaViscLength) THEN |
318 |
jmc |
1.14 |
L4rdt=0.125 _d 0*recip_dt*rAz(i,j,bi,bj)**2 |
319 |
baylor |
1.11 |
ELSE |
320 |
|
|
L4rdt=recip_dt/ |
321 |
|
|
& ( 6. _d 0*(recip_DXV(I,J,bi,bj)**4+recip_DYU(I,J,bi,bj)**4) |
322 |
|
|
& +8. _d 0*((recip_DXV(I,J,bi,bj)*recip_DYU(I,J,bi,bj))**2)) |
323 |
|
|
ENDIF |
324 |
baylor |
1.5 |
|
325 |
|
|
C Velocity Reynolds Scale |
326 |
jmc |
1.10 |
Uscl=sqrt(0.25 _d 0*(KE(i,j)+KE(i,j+1)+KE(i+1,j)+KE(i+1,j+1)) |
327 |
baylor |
1.9 |
& *L2)*viscAhRe_max |
328 |
jmc |
1.10 |
U4scl=sqrt(0.25 _d 0*(KE(i,j)+KE(i,j+1)+KE(i+1,j)+KE(i+1,j+1))) |
329 |
baylor |
1.9 |
& *L3*viscA4Re_max |
330 |
baylor |
1.1 |
|
331 |
|
|
C This is the vector magnitude of the vorticity gradient squared |
332 |
baylor |
1.5 |
IF (useFullLeith.and.calcleith) THEN |
333 |
jmc |
1.10 |
grdVrt=0.25 _d 0*( |
334 |
baylor |
1.5 |
& ((vort3(i+1,j)-vort3(i,j))*recip_DXG(i,j,bi,bj))**2 |
335 |
|
|
& +((vort3(i,j+1)-vort3(i,j))*recip_DYG(i,j,bi,bj))**2 |
336 |
|
|
& +((vort3(i-1,j)-vort3(i,j))*recip_DXG(i-1,j,bi,bj))**2 |
337 |
|
|
& +((vort3(i,j-1)-vort3(i,j))*recip_DYG(i,j-1,bi,bj))**2) |
338 |
baylor |
1.1 |
|
339 |
|
|
C This is the vector magnitude of grad(div.v) squared |
340 |
jmc |
1.10 |
grdDiv=0.25 _d 0*( |
341 |
baylor |
1.5 |
& ((hDiv(i,j)-hDiv(i-1,j))*recip_DXC(i,j,bi,bj))**2 |
342 |
|
|
& +((hDiv(i,j)-hDiv(i,j-1))*recip_DYC(i,j,bi,bj))**2 |
343 |
|
|
& +((hDiv(i,j-1)-hDiv(i-1,j-1))*recip_DXC(i,j-1,bi,bj))**2 |
344 |
|
|
& +((hDiv(i-1,j)-hDiv(i-1,j-1))*recip_DYC(i-1,j,bi,bj))**2) |
345 |
|
|
|
346 |
|
|
viscAh_ZLth(i,j)= |
347 |
|
|
& sqrt(viscC2leith**2*grdVrt+viscC2leithD**2*grdDiv)*L3 |
348 |
jmc |
1.10 |
viscA4_ZLth(i,j)=0.125 _d 0* |
349 |
baylor |
1.5 |
& sqrt(viscC4leith**2*grdVrt+viscC4leithD**2*grdDiv)*L5 |
350 |
|
|
viscAh_ZLthD(i,j)= |
351 |
|
|
& sqrt(viscC2leithD**2*grdDiv)*L3 |
352 |
jmc |
1.10 |
viscA4_ZLthD(i,j)=0.125 _d 0* |
353 |
baylor |
1.5 |
& sqrt(viscC4leithD**2*grdDiv)*L5 |
354 |
|
|
|
355 |
|
|
ELSEIF (calcleith) THEN |
356 |
baylor |
1.1 |
C but this approximation will work on cube (and differs by 4X) |
357 |
baylor |
1.5 |
grdVrt=abs((vort3(i+1,j)-vort3(i,j))*recip_DXG(i,j,bi,bj)) |
358 |
|
|
grdVrt=max(grdVrt, |
359 |
|
|
& abs((vort3(i,j+1)-vort3(i,j))*recip_DYG(i,j,bi,bj))) |
360 |
|
|
grdVrt=max(grdVrt, |
361 |
|
|
& abs((vort3(i-1,j)-vort3(i,j))*recip_DXG(i-1,j,bi,bj))) |
362 |
|
|
grdVrt=max(grdVrt, |
363 |
|
|
& abs((vort3(i,j-1)-vort3(i,j))*recip_DYG(i,j-1,bi,bj))) |
364 |
|
|
|
365 |
|
|
grdDiv=abs((hDiv(i,j)-hDiv(i-1,j))*recip_DXC(i,j,bi,bj)) |
366 |
|
|
grdDiv=max(grdDiv, |
367 |
|
|
& abs((hDiv(i,j)-hDiv(i,j-1))*recip_DYC(i,j,bi,bj))) |
368 |
|
|
grdDiv=max(grdDiv, |
369 |
jmc |
1.10 |
& abs((hDiv(i,j-1)-hDiv(i-1,j-1))*recip_DXC(i,j-1,bi,bj))) |
370 |
baylor |
1.5 |
grdDiv=max(grdDiv, |
371 |
jmc |
1.10 |
& abs((hDiv(i-1,j)-hDiv(i-1,j-1))*recip_DYC(i-1,j,bi,bj))) |
372 |
baylor |
1.5 |
|
373 |
|
|
viscAh_ZLth(i,j)=(viscC2leith*grdVrt |
374 |
|
|
& +(viscC2leithD*grdDiv))*L3 |
375 |
jmc |
1.10 |
viscA4_ZLth(i,j)=0.125 _d 0*(viscC4leith*grdVrt |
376 |
baylor |
1.5 |
& +(viscC4leithD*grdDiv))*L5 |
377 |
|
|
viscAh_ZLthD(i,j)=((viscC2leithD*grdDiv))*L3 |
378 |
jmc |
1.10 |
viscA4_ZLthD(i,j)=0.125 _d 0*((viscC4leithD*grdDiv))*L5 |
379 |
baylor |
1.1 |
ELSE |
380 |
jmc |
1.10 |
viscAh_ZLth(i,j)=0. _d 0 |
381 |
|
|
viscA4_ZLth(i,j)=0. _d 0 |
382 |
|
|
viscAh_ZLthD(i,j)=0. _d 0 |
383 |
|
|
viscA4_ZLthD(i,j)=0. _d 0 |
384 |
baylor |
1.1 |
ENDIF |
385 |
|
|
|
386 |
baylor |
1.5 |
IF (calcsmag) THEN |
387 |
|
|
viscAh_ZSmg(i,j)=L2 |
388 |
|
|
& *sqrt(strain(i,j)**2 |
389 |
jmc |
1.10 |
& +0.25 _d 0*(tension( i , j )**2+tension( i ,j-1)**2 |
390 |
|
|
& +tension(i-1, j )**2+tension(i-1,j-1)**2)) |
391 |
baylor |
1.5 |
viscA4_ZSmg(i,j)=smag4fac*L2*viscAh_ZSmg(i,j) |
392 |
|
|
viscAh_ZSmg(i,j)=smag2fac*viscAh_ZSmg(i,j) |
393 |
baylor |
1.1 |
ENDIF |
394 |
|
|
|
395 |
|
|
C Harmonic on Zeta points |
396 |
baylor |
1.5 |
Alin=viscAhZ+viscAhGrid*L2rdt |
397 |
|
|
& +viscAh_ZLth(i,j)+viscAh_ZSmg(i,j) |
398 |
|
|
viscAh_ZMin(i,j)=max(viscAhGridMin*L2rdt,Uscl) |
399 |
|
|
viscAh_Z(i,j)=max(viscAh_ZMin(i,j),Alin) |
400 |
|
|
viscAh_ZMax(i,j)=min(viscAhGridMax*L2rdt,viscAhMax) |
401 |
|
|
viscAh_Z(i,j)=min(viscAh_ZMax(i,j),viscAh_Z(i,j)) |
402 |
|
|
|
403 |
|
|
C BiHarmonic on Zeta points |
404 |
|
|
Alin=viscA4Z+viscA4Grid*L4rdt |
405 |
|
|
& +viscA4_ZLth(i,j)+viscA4_ZSmg(i,j) |
406 |
|
|
viscA4_ZMin(i,j)=max(viscA4GridMin*L4rdt,U4scl) |
407 |
|
|
viscA4_Z(i,j)=max(viscA4_ZMin(i,j),Alin) |
408 |
|
|
viscA4_ZMax(i,j)=min(viscA4GridMax*L4rdt,viscA4Max) |
409 |
|
|
viscA4_Z(i,j)=min(viscA4_ZMax(i,j),viscA4_Z(i,j)) |
410 |
baylor |
1.1 |
ENDDO |
411 |
|
|
ENDDO |
412 |
|
|
ELSE |
413 |
|
|
DO j=1-Oly,sNy+Oly |
414 |
|
|
DO i=1-Olx,sNx+Olx |
415 |
|
|
viscAh_D(i,j)=viscAhD |
416 |
|
|
viscAh_Z(i,j)=viscAhZ |
417 |
|
|
viscA4_D(i,j)=viscA4D |
418 |
|
|
viscA4_Z(i,j)=viscA4Z |
419 |
|
|
ENDDO |
420 |
|
|
ENDDO |
421 |
|
|
ENDIF |
422 |
|
|
|
423 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
424 |
|
|
IF (useDiagnostics) THEN |
425 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_D,'VISCAHD ',k,1,2,bi,bj,myThid) |
426 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_D,'VISCA4D ',k,1,2,bi,bj,myThid) |
427 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_Z,'VISCAHZ ',k,1,2,bi,bj,myThid) |
428 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_Z,'VISCA4Z ',k,1,2,bi,bj,myThid) |
429 |
baylor |
1.5 |
|
430 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_DMax,'VAHDMAX ',k,1,2,bi,bj,myThid) |
431 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_DMax,'VA4DMAX ',k,1,2,bi,bj,myThid) |
432 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_ZMax,'VAHZMAX ',k,1,2,bi,bj,myThid) |
433 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_ZMax,'VA4ZMAX ',k,1,2,bi,bj,myThid) |
434 |
|
|
|
435 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_DMin,'VAHDMIN ',k,1,2,bi,bj,myThid) |
436 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_DMin,'VA4DMIN ',k,1,2,bi,bj,myThid) |
437 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_ZMin,'VAHZMIN ',k,1,2,bi,bj,myThid) |
438 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_ZMin,'VA4ZMIN ',k,1,2,bi,bj,myThid) |
439 |
|
|
|
440 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_DLth,'VAHDLTH ',k,1,2,bi,bj,myThid) |
441 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_DLth,'VA4DLTH ',k,1,2,bi,bj,myThid) |
442 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_ZLth,'VAHZLTH ',k,1,2,bi,bj,myThid) |
443 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_ZLth,'VA4ZLTH ',k,1,2,bi,bj,myThid) |
444 |
|
|
|
445 |
baylor |
1.7 |
CALL DIAGNOSTICS_FILL(viscAh_DLthD,'VAHDLTHD' |
446 |
baylor |
1.8 |
& ,k,1,2,bi,bj,myThid) |
447 |
baylor |
1.7 |
CALL DIAGNOSTICS_FILL(viscA4_DLthD,'VA4DLTHD' |
448 |
baylor |
1.8 |
& ,k,1,2,bi,bj,myThid) |
449 |
baylor |
1.7 |
CALL DIAGNOSTICS_FILL(viscAh_ZLthD,'VAHZLTHD' |
450 |
baylor |
1.8 |
& ,k,1,2,bi,bj,myThid) |
451 |
baylor |
1.7 |
CALL DIAGNOSTICS_FILL(viscA4_ZLthD,'VA4ZLTHD' |
452 |
baylor |
1.8 |
& ,k,1,2,bi,bj,myThid) |
453 |
baylor |
1.5 |
|
454 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_DSmg,'VAHDSMAG',k,1,2,bi,bj,myThid) |
455 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_DSmg,'VA4DSMAG',k,1,2,bi,bj,myThid) |
456 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_ZSmg,'VAHZSMAG',k,1,2,bi,bj,myThid) |
457 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_ZSmg,'VA4ZSMAG',k,1,2,bi,bj,myThid) |
458 |
baylor |
1.1 |
ENDIF |
459 |
|
|
#endif |
460 |
|
|
|
461 |
|
|
RETURN |
462 |
|
|
END |
463 |
baylor |
1.5 |
|