1 |
jmc |
1.16 |
C $Header: /u/gcmpack/MITgcm/pkg/mom_common/mom_calc_visc.F,v 1.15 2005/10/03 21:43:03 jmc Exp $ |
2 |
jmc |
1.14 |
C $Name: $ |
3 |
baylor |
1.1 |
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4 |
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#include "MOM_COMMON_OPTIONS.h" |
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6 |
baylor |
1.5 |
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baylor |
1.1 |
SUBROUTINE MOM_CALC_VISC( |
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I bi,bj,k, |
9 |
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O viscAh_Z,viscAh_D,viscA4_Z,viscA4_D, |
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O harmonic,biharmonic,useVariableViscosity, |
11 |
jmc |
1.12 |
I hDiv,vort3,tension,strain,KE,hFacZ, |
12 |
baylor |
1.1 |
I myThid) |
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14 |
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IMPLICIT NONE |
15 |
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) |
19 |
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C +0.25*L**2*viscAhGrid/deltaT |
20 |
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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 |
24 |
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C biharmonic viscosity= |
25 |
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C viscA4 (or viscA4D on div pts and viscA4Z on zeta pts) |
26 |
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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 |
36 |
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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 |
40 |
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C viscA4Remax is min value for grid point biharmonic Reynolds num |
41 |
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 |
46 |
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C viscA4gridmax is CFL stability limiter for biharmonic viscosity |
47 |
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C biharmonic viscosity<viscA4gridmax*L**4/32/deltaT (approx) |
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C |
49 |
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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) |
60 |
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C viscC4smag=2.2-4 (Griffies and Hallberg,2000) |
61 |
baylor |
1.9 |
C viscAhRemax>=1, (<2 suppresses a computational mode) |
62 |
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C viscA4Remax>=1, (<2 suppresses a computational mode) |
63 |
baylor |
1.5 |
C viscAhgridmax=1 |
64 |
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C viscA4gridmax=1 |
65 |
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C viscAhgrid<1 |
66 |
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C viscA4grid<1 |
67 |
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C viscAhgridmin<<1 |
68 |
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C viscA4gridmin<<1 |
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baylor |
1.1 |
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70 |
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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 == |
77 |
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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 |
jmc |
1.15 |
_RL Alin,grdVrt,grdDiv, keZpt |
96 |
baylor |
1.1 |
_RL recip_dt,L2,L3,L4,L5,L2rdt,L4rdt |
97 |
baylor |
1.5 |
_RL Uscl,U4scl |
98 |
jmc |
1.16 |
_RL divDx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
99 |
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_RL divDy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
100 |
baylor |
1.5 |
_RL viscAh_ZMax(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
101 |
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_RL viscAh_DMax(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
102 |
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_RL viscA4_ZMax(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
103 |
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_RL viscA4_DMax(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
104 |
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_RL viscAh_ZMin(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
105 |
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_RL viscAh_DMin(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
106 |
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_RL viscA4_ZMin(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
107 |
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_RL viscA4_DMin(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
108 |
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_RL viscAh_ZLth(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
109 |
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_RL viscAh_DLth(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
110 |
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_RL viscA4_ZLth(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
111 |
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_RL viscA4_DLth(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
112 |
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_RL viscAh_ZLthD(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
113 |
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_RL viscAh_DLthD(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
114 |
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_RL viscA4_ZLthD(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
115 |
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_RL viscA4_DLthD(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
116 |
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_RL viscAh_ZSmg(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
117 |
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_RL viscAh_DSmg(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
118 |
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_RL viscA4_ZSmg(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
119 |
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_RL viscA4_DSmg(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
120 |
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LOGICAL calcLeith,calcSmag |
121 |
baylor |
1.1 |
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122 |
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useVariableViscosity= |
123 |
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& (viscAhGrid.NE.0.) |
124 |
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& .OR.(viscA4Grid.NE.0.) |
125 |
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& .OR.(viscC2leith.NE.0.) |
126 |
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& .OR.(viscC2leithD.NE.0.) |
127 |
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& .OR.(viscC4leith.NE.0.) |
128 |
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& .OR.(viscC4leithD.NE.0.) |
129 |
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& .OR.(viscC2smag.NE.0.) |
130 |
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& .OR.(viscC4smag.NE.0.) |
131 |
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132 |
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harmonic= |
133 |
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& (viscAh.NE.0.) |
134 |
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& .OR.(viscAhD.NE.0.) |
135 |
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& .OR.(viscAhZ.NE.0.) |
136 |
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& .OR.(viscAhGrid.NE.0.) |
137 |
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& .OR.(viscC2leith.NE.0.) |
138 |
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& .OR.(viscC2leithD.NE.0.) |
139 |
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& .OR.(viscC2smag.NE.0.) |
140 |
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141 |
baylor |
1.9 |
IF ((harmonic).and.(viscAhremax.ne.0.)) THEN |
142 |
jmc |
1.10 |
viscAhre_max=sqrt(2. _d 0)/viscAhRemax |
143 |
baylor |
1.9 |
ELSE |
144 |
jmc |
1.10 |
viscAhre_max=0. _d 0 |
145 |
baylor |
1.9 |
ENDIF |
146 |
baylor |
1.5 |
|
147 |
baylor |
1.1 |
biharmonic= |
148 |
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& (viscA4.NE.0.) |
149 |
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& .OR.(viscA4D.NE.0.) |
150 |
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& .OR.(viscA4Z.NE.0.) |
151 |
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& .OR.(viscA4Grid.NE.0.) |
152 |
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& .OR.(viscC4leith.NE.0.) |
153 |
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& .OR.(viscC4leithD.NE.0.) |
154 |
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& .OR.(viscC4smag.NE.0.) |
155 |
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156 |
baylor |
1.9 |
IF ((biharmonic).and.(viscA4remax.ne.0.)) THEN |
157 |
jmc |
1.10 |
viscA4re_max=0.125 _d 0*sqrt(2. _d 0)/viscA4Remax |
158 |
baylor |
1.9 |
ELSE |
159 |
jmc |
1.10 |
viscA4re_max=0. _d 0 |
160 |
baylor |
1.9 |
ENDIF |
161 |
baylor |
1.5 |
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162 |
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calcleith= |
163 |
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& (viscC2leith.NE.0.) |
164 |
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& .OR.(viscC2leithD.NE.0.) |
165 |
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& .OR.(viscC4leith.NE.0.) |
166 |
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& .OR.(viscC4leithD.NE.0.) |
167 |
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168 |
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calcsmag= |
169 |
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& (viscC2smag.NE.0.) |
170 |
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& .OR.(viscC4smag.NE.0.) |
171 |
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172 |
baylor |
1.1 |
IF (deltaTmom.NE.0.) THEN |
173 |
jmc |
1.10 |
recip_dt=1. _d 0/deltaTmom |
174 |
baylor |
1.1 |
ELSE |
175 |
jmc |
1.10 |
recip_dt=0. _d 0 |
176 |
baylor |
1.1 |
ENDIF |
177 |
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178 |
baylor |
1.5 |
IF (calcsmag) THEN |
179 |
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smag2fac=(viscC2smag/pi)**2 |
180 |
jmc |
1.10 |
smag4fac=0.125 _d 0*(viscC4smag/pi)**2 |
181 |
baylor |
1.9 |
ELSE |
182 |
jmc |
1.10 |
smag2fac=0. _d 0 |
183 |
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smag4fac=0. _d 0 |
184 |
baylor |
1.5 |
ENDIF |
185 |
baylor |
1.1 |
|
186 |
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C - Viscosity |
187 |
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IF (useVariableViscosity) THEN |
188 |
jmc |
1.16 |
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189 |
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C horizontal gradient of horizontal divergence: |
190 |
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DO j=1-Oly,sNy+Oly |
191 |
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DO i=1-Olx,sNx+Olx |
192 |
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divDx(i,j) = 0. |
193 |
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divDy(i,j) = 0. |
194 |
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ENDDO |
195 |
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ENDDO |
196 |
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IF (calcleith) THEN |
197 |
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C- gradient in x direction: |
198 |
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#ifndef ALLOW_AUTODIFF_TAMC |
199 |
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IF (useCubedSphereExchange) THEN |
200 |
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C to compute d/dx(hDiv), fill corners with appropriate values: |
201 |
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CALL FILL_CS_CORNER_TR_RL( .TRUE., hDiv, bi,bj, myThid ) |
202 |
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ENDIF |
203 |
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#endif |
204 |
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DO j=2-Oly,sNy+Oly-1 |
205 |
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DO i=2-Olx,sNx+Olx-1 |
206 |
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divDx(i,j) = (hDiv(i,j)-hDiv(i-1,j))*recip_DXC(i,j,bi,bj) |
207 |
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ENDDO |
208 |
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ENDDO |
209 |
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210 |
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C- gradient in y direction: |
211 |
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#ifndef ALLOW_AUTODIFF_TAMC |
212 |
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IF (useCubedSphereExchange) THEN |
213 |
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C to compute d/dy(hDiv), fill corners with appropriate values: |
214 |
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CALL FILL_CS_CORNER_TR_RL(.FALSE., hDiv, bi,bj, myThid ) |
215 |
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ENDIF |
216 |
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#endif |
217 |
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DO j=2-Oly,sNy+Oly-1 |
218 |
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DO i=2-Olx,sNx+Olx-1 |
219 |
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divDy(i,j) = (hDiv(i,j)-hDiv(i,j-1))*recip_DYC(i,j,bi,bj) |
220 |
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ENDDO |
221 |
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ENDDO |
222 |
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ENDIF |
223 |
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224 |
baylor |
1.1 |
DO j=2-Oly,sNy+Oly-1 |
225 |
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DO i=2-Olx,sNx+Olx-1 |
226 |
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CCCCCCCCCCCCCCC Divergence Point CalculationsCCCCCCCCCCCCCCCCCCCC |
227 |
baylor |
1.5 |
|
228 |
baylor |
1.1 |
C These are (powers of) length scales |
229 |
baylor |
1.11 |
IF (useAreaViscLength) THEN |
230 |
jmc |
1.12 |
L2=rA(i,j,bi,bj) |
231 |
baylor |
1.11 |
ELSE |
232 |
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L2=2. _d 0/((recip_DXF(I,J,bi,bj)**2+recip_DYF(I,J,bi,bj)**2)) |
233 |
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ENDIF |
234 |
baylor |
1.1 |
L3=(L2**1.5) |
235 |
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L4=(L2**2) |
236 |
baylor |
1.5 |
L5=(L2**2.5) |
237 |
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|
238 |
jmc |
1.10 |
L2rdt=0.25 _d 0*recip_dt*L2 |
239 |
baylor |
1.5 |
|
240 |
baylor |
1.11 |
IF (useAreaViscLength) THEN |
241 |
jmc |
1.12 |
L4rdt=0.125 _d 0*recip_dt*rA(i,j,bi,bj)**2 |
242 |
baylor |
1.11 |
ELSE |
243 |
|
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L4rdt=recip_dt/( 6. _d 0*(recip_DXF(I,J,bi,bj)**4 |
244 |
jmc |
1.10 |
& +recip_DYF(I,J,bi,bj)**4) |
245 |
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& +8. _d 0*((recip_DXF(I,J,bi,bj) |
246 |
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& *recip_DYF(I,J,bi,bj))**2) ) |
247 |
baylor |
1.11 |
ENDIF |
248 |
baylor |
1.1 |
|
249 |
baylor |
1.5 |
C Velocity Reynolds Scale |
250 |
jmc |
1.15 |
IF ( viscAhRe_max.GT.0. .AND. KE(i,j).GT.0. ) THEN |
251 |
|
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Uscl=sqrt(KE(i,j)*L2)*viscAhRe_max |
252 |
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ELSE |
253 |
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Uscl=0. |
254 |
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ENDIF |
255 |
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IF ( viscA4Re_max.GT.0. .AND. KE(i,j).GT.0. ) THEN |
256 |
|
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U4scl=sqrt(KE(i,j))*L3*viscA4Re_max |
257 |
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ELSE |
258 |
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U4scl=0. |
259 |
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ENDIF |
260 |
baylor |
1.5 |
|
261 |
|
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IF (useFullLeith.and.calcleith) THEN |
262 |
baylor |
1.1 |
C This is the vector magnitude of the vorticity gradient squared |
263 |
jmc |
1.10 |
grdVrt=0.25 _d 0*( |
264 |
baylor |
1.1 |
& ((vort3(i+1,j)-vort3(i,j))*recip_DXG(i,j,bi,bj))**2 |
265 |
|
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& +((vort3(i,j+1)-vort3(i,j))*recip_DYG(i,j,bi,bj))**2 |
266 |
baylor |
1.8 |
& +((vort3(i+1,j+1)-vort3(i,j+1)) |
267 |
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& *recip_DXG(i,j+1,bi,bj))**2 |
268 |
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& +((vort3(i+1,j+1)-vort3(i+1,j)) |
269 |
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& *recip_DYG(i+1,j,bi,bj))**2) |
270 |
baylor |
1.1 |
|
271 |
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C This is the vector magnitude of grad (div.v) squared |
272 |
|
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C Using it in Leith serves to damp instabilities in w. |
273 |
jmc |
1.16 |
grdDiv=0.25 _d 0*( (divDx(i+1,j)*divDx(i+1,j) |
274 |
|
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& + divDx(i,j)*divDx(i,j) ) |
275 |
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& + (divDy(i,j+1)*divDy(i,j+1) |
276 |
|
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& + divDy(i,j)*divDy(i,j) ) ) |
277 |
baylor |
1.5 |
|
278 |
|
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viscAh_DLth(i,j)= |
279 |
|
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& sqrt(viscC2leith**2*grdVrt+viscC2leithD**2*grdDiv)*L3 |
280 |
jmc |
1.10 |
viscA4_DLth(i,j)=0.125 _d 0* |
281 |
baylor |
1.5 |
& sqrt(viscC4leith**2*grdVrt+viscC4leithD**2*grdDiv)*L5 |
282 |
|
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viscAh_DLthd(i,j)= |
283 |
|
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& sqrt(viscC2leithD**2*grdDiv)*L3 |
284 |
jmc |
1.10 |
viscA4_DLthd(i,j)=0.125 _d 0* |
285 |
baylor |
1.5 |
& sqrt(viscC4leithD**2*grdDiv)*L5 |
286 |
|
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ELSEIF (calcleith) THEN |
287 |
baylor |
1.1 |
C but this approximation will work on cube |
288 |
|
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c (and differs by as much as 4X) |
289 |
baylor |
1.5 |
grdVrt=abs((vort3(i+1,j)-vort3(i,j))*recip_DXG(i,j,bi,bj)) |
290 |
|
|
grdVrt=max(grdVrt, |
291 |
|
|
& abs((vort3(i,j+1)-vort3(i,j))*recip_DYG(i,j,bi,bj))) |
292 |
|
|
grdVrt=max(grdVrt, |
293 |
|
|
& abs((vort3(i+1,j+1)-vort3(i,j+1))*recip_DXG(i,j+1,bi,bj))) |
294 |
|
|
grdVrt=max(grdVrt, |
295 |
|
|
& abs((vort3(i+1,j+1)-vort3(i+1,j))*recip_DYG(i+1,j,bi,bj))) |
296 |
|
|
|
297 |
jmc |
1.16 |
grdDiv=max( abs(divDx(i+1,j)), abs(divDx(i,j)) ) |
298 |
|
|
grdDiv=max( grdDiv, abs(divDy(i,j+1)) ) |
299 |
|
|
grdDiv=max( grdDiv, abs(divDy(i,j)) ) |
300 |
baylor |
1.1 |
|
301 |
|
|
c This approximation is good to the same order as above... |
302 |
baylor |
1.5 |
viscAh_Dlth(i,j)= |
303 |
|
|
& (viscC2leith*grdVrt+(viscC2leithD*grdDiv))*L3 |
304 |
jmc |
1.10 |
viscA4_Dlth(i,j)=0.125 _d 0* |
305 |
baylor |
1.5 |
& (viscC4leith*grdVrt+(viscC4leithD*grdDiv))*L5 |
306 |
|
|
viscAh_DlthD(i,j)= |
307 |
|
|
& ((viscC2leithD*grdDiv))*L3 |
308 |
jmc |
1.10 |
viscA4_DlthD(i,j)=0.125 _d 0* |
309 |
baylor |
1.5 |
& ((viscC4leithD*grdDiv))*L5 |
310 |
baylor |
1.1 |
ELSE |
311 |
jmc |
1.10 |
viscAh_Dlth(i,j)=0. _d 0 |
312 |
|
|
viscA4_Dlth(i,j)=0. _d 0 |
313 |
|
|
viscAh_DlthD(i,j)=0. _d 0 |
314 |
|
|
viscA4_DlthD(i,j)=0. _d 0 |
315 |
baylor |
1.1 |
ENDIF |
316 |
|
|
|
317 |
baylor |
1.5 |
IF (calcsmag) THEN |
318 |
|
|
viscAh_DSmg(i,j)=L2 |
319 |
|
|
& *sqrt(tension(i,j)**2 |
320 |
jmc |
1.10 |
& +0.25 _d 0*(strain(i+1, j )**2+strain( i ,j+1)**2 |
321 |
|
|
& +strain(i , j )**2+strain(i+1,j+1)**2)) |
322 |
baylor |
1.5 |
viscA4_DSmg(i,j)=smag4fac*L2*viscAh_DSmg(i,j) |
323 |
|
|
viscAh_DSmg(i,j)=smag2fac*viscAh_DSmg(i,j) |
324 |
baylor |
1.1 |
ELSE |
325 |
jmc |
1.10 |
viscAh_DSmg(i,j)=0. _d 0 |
326 |
|
|
viscA4_DSmg(i,j)=0. _d 0 |
327 |
baylor |
1.1 |
ENDIF |
328 |
|
|
|
329 |
|
|
C Harmonic on Div.u points |
330 |
baylor |
1.5 |
Alin=viscAhD+viscAhGrid*L2rdt |
331 |
|
|
& +viscAh_DLth(i,j)+viscAh_DSmg(i,j) |
332 |
|
|
viscAh_DMin(i,j)=max(viscAhGridMin*L2rdt,Uscl) |
333 |
|
|
viscAh_D(i,j)=max(viscAh_DMin(i,j),Alin) |
334 |
|
|
viscAh_DMax(i,j)=min(viscAhGridMax*L2rdt,viscAhMax) |
335 |
|
|
viscAh_D(i,j)=min(viscAh_DMax(i,j),viscAh_D(i,j)) |
336 |
baylor |
1.1 |
|
337 |
|
|
C BiHarmonic on Div.u points |
338 |
baylor |
1.5 |
Alin=viscA4D+viscA4Grid*L4rdt |
339 |
|
|
& +viscA4_DLth(i,j)+viscA4_DSmg(i,j) |
340 |
|
|
viscA4_DMin(i,j)=max(viscA4GridMin*L4rdt,U4scl) |
341 |
|
|
viscA4_D(i,j)=max(viscA4_DMin(i,j),Alin) |
342 |
|
|
viscA4_DMax(i,j)=min(viscA4GridMax*L4rdt,viscA4Max) |
343 |
|
|
viscA4_D(i,j)=min(viscA4_DMax(i,j),viscA4_D(i,j)) |
344 |
baylor |
1.1 |
|
345 |
|
|
CCCCCCCCCCCCC Vorticity Point CalculationsCCCCCCCCCCCCCCCCCC |
346 |
|
|
C These are (powers of) length scales |
347 |
baylor |
1.11 |
IF (useAreaViscLength) THEN |
348 |
jmc |
1.12 |
L2=rAz(i,j,bi,bj) |
349 |
baylor |
1.11 |
ELSE |
350 |
jmc |
1.12 |
L2=2. _d 0/((recip_DXV(I,J,bi,bj)**2+recip_DYU(I,J,bi,bj)**2)) |
351 |
baylor |
1.11 |
ENDIF |
352 |
|
|
|
353 |
baylor |
1.1 |
L3=(L2**1.5) |
354 |
|
|
L4=(L2**2) |
355 |
baylor |
1.5 |
L5=(L2**2.5) |
356 |
|
|
|
357 |
jmc |
1.10 |
L2rdt=0.25 _d 0*recip_dt*L2 |
358 |
baylor |
1.11 |
IF (useAreaViscLength) THEN |
359 |
jmc |
1.14 |
L4rdt=0.125 _d 0*recip_dt*rAz(i,j,bi,bj)**2 |
360 |
baylor |
1.11 |
ELSE |
361 |
|
|
L4rdt=recip_dt/ |
362 |
|
|
& ( 6. _d 0*(recip_DXV(I,J,bi,bj)**4+recip_DYU(I,J,bi,bj)**4) |
363 |
|
|
& +8. _d 0*((recip_DXV(I,J,bi,bj)*recip_DYU(I,J,bi,bj))**2)) |
364 |
|
|
ENDIF |
365 |
baylor |
1.5 |
|
366 |
jmc |
1.15 |
C Velocity Reynolds Scale (Pb here at CS-grid corners !) |
367 |
|
|
IF ( viscAhRe_max.GT.0. .OR. viscA4Re_max.GT.0. ) THEN |
368 |
|
|
keZpt=0.25 _d 0*( (KE(i,j)+KE(i-1,j-1)) |
369 |
|
|
& +(KE(i-1,j)+KE(i,j-1)) ) |
370 |
|
|
IF ( keZpt.GT.0. ) THEN |
371 |
|
|
Uscl = sqrt(keZpt*L2)*viscAhRe_max |
372 |
|
|
U4scl= sqrt(keZpt)*L3*viscA4Re_max |
373 |
|
|
ELSE |
374 |
|
|
Uscl =0. |
375 |
|
|
U4scl=0. |
376 |
|
|
ENDIF |
377 |
|
|
ELSE |
378 |
|
|
Uscl =0. |
379 |
|
|
U4scl=0. |
380 |
|
|
ENDIF |
381 |
baylor |
1.1 |
|
382 |
|
|
C This is the vector magnitude of the vorticity gradient squared |
383 |
baylor |
1.5 |
IF (useFullLeith.and.calcleith) THEN |
384 |
jmc |
1.10 |
grdVrt=0.25 _d 0*( |
385 |
baylor |
1.5 |
& ((vort3(i+1,j)-vort3(i,j))*recip_DXG(i,j,bi,bj))**2 |
386 |
|
|
& +((vort3(i,j+1)-vort3(i,j))*recip_DYG(i,j,bi,bj))**2 |
387 |
|
|
& +((vort3(i-1,j)-vort3(i,j))*recip_DXG(i-1,j,bi,bj))**2 |
388 |
|
|
& +((vort3(i,j-1)-vort3(i,j))*recip_DYG(i,j-1,bi,bj))**2) |
389 |
baylor |
1.1 |
|
390 |
|
|
C This is the vector magnitude of grad(div.v) squared |
391 |
jmc |
1.16 |
grdDiv=0.25 _d 0*( (divDx(i,j-1)*divDx(i,j-1) |
392 |
|
|
& + divDx(i,j)*divDx(i,j) ) |
393 |
|
|
& + (divDy(i-1,j)*divDy(i-1,j) |
394 |
|
|
& + divDy(i,j)*divDy(i,j) ) ) |
395 |
baylor |
1.5 |
|
396 |
|
|
viscAh_ZLth(i,j)= |
397 |
|
|
& sqrt(viscC2leith**2*grdVrt+viscC2leithD**2*grdDiv)*L3 |
398 |
jmc |
1.10 |
viscA4_ZLth(i,j)=0.125 _d 0* |
399 |
baylor |
1.5 |
& sqrt(viscC4leith**2*grdVrt+viscC4leithD**2*grdDiv)*L5 |
400 |
|
|
viscAh_ZLthD(i,j)= |
401 |
|
|
& sqrt(viscC2leithD**2*grdDiv)*L3 |
402 |
jmc |
1.10 |
viscA4_ZLthD(i,j)=0.125 _d 0* |
403 |
baylor |
1.5 |
& sqrt(viscC4leithD**2*grdDiv)*L5 |
404 |
|
|
|
405 |
|
|
ELSEIF (calcleith) THEN |
406 |
baylor |
1.1 |
C but this approximation will work on cube (and differs by 4X) |
407 |
baylor |
1.5 |
grdVrt=abs((vort3(i+1,j)-vort3(i,j))*recip_DXG(i,j,bi,bj)) |
408 |
|
|
grdVrt=max(grdVrt, |
409 |
|
|
& abs((vort3(i,j+1)-vort3(i,j))*recip_DYG(i,j,bi,bj))) |
410 |
|
|
grdVrt=max(grdVrt, |
411 |
|
|
& abs((vort3(i-1,j)-vort3(i,j))*recip_DXG(i-1,j,bi,bj))) |
412 |
|
|
grdVrt=max(grdVrt, |
413 |
|
|
& abs((vort3(i,j-1)-vort3(i,j))*recip_DYG(i,j-1,bi,bj))) |
414 |
|
|
|
415 |
jmc |
1.16 |
grdDiv=max( abs(divDx(i,j)), abs(divDx(i,j-1)) ) |
416 |
|
|
grdDiv=max( grdDiv, abs(divDy(i,j)) ) |
417 |
|
|
grdDiv=max( grdDiv, abs(divDy(i-1,j)) ) |
418 |
baylor |
1.5 |
|
419 |
|
|
viscAh_ZLth(i,j)=(viscC2leith*grdVrt |
420 |
|
|
& +(viscC2leithD*grdDiv))*L3 |
421 |
jmc |
1.10 |
viscA4_ZLth(i,j)=0.125 _d 0*(viscC4leith*grdVrt |
422 |
baylor |
1.5 |
& +(viscC4leithD*grdDiv))*L5 |
423 |
|
|
viscAh_ZLthD(i,j)=((viscC2leithD*grdDiv))*L3 |
424 |
jmc |
1.10 |
viscA4_ZLthD(i,j)=0.125 _d 0*((viscC4leithD*grdDiv))*L5 |
425 |
baylor |
1.1 |
ELSE |
426 |
jmc |
1.10 |
viscAh_ZLth(i,j)=0. _d 0 |
427 |
|
|
viscA4_ZLth(i,j)=0. _d 0 |
428 |
|
|
viscAh_ZLthD(i,j)=0. _d 0 |
429 |
|
|
viscA4_ZLthD(i,j)=0. _d 0 |
430 |
baylor |
1.1 |
ENDIF |
431 |
|
|
|
432 |
baylor |
1.5 |
IF (calcsmag) THEN |
433 |
|
|
viscAh_ZSmg(i,j)=L2 |
434 |
|
|
& *sqrt(strain(i,j)**2 |
435 |
jmc |
1.10 |
& +0.25 _d 0*(tension( i , j )**2+tension( i ,j-1)**2 |
436 |
|
|
& +tension(i-1, j )**2+tension(i-1,j-1)**2)) |
437 |
baylor |
1.5 |
viscA4_ZSmg(i,j)=smag4fac*L2*viscAh_ZSmg(i,j) |
438 |
|
|
viscAh_ZSmg(i,j)=smag2fac*viscAh_ZSmg(i,j) |
439 |
baylor |
1.1 |
ENDIF |
440 |
|
|
|
441 |
|
|
C Harmonic on Zeta points |
442 |
baylor |
1.5 |
Alin=viscAhZ+viscAhGrid*L2rdt |
443 |
|
|
& +viscAh_ZLth(i,j)+viscAh_ZSmg(i,j) |
444 |
|
|
viscAh_ZMin(i,j)=max(viscAhGridMin*L2rdt,Uscl) |
445 |
|
|
viscAh_Z(i,j)=max(viscAh_ZMin(i,j),Alin) |
446 |
|
|
viscAh_ZMax(i,j)=min(viscAhGridMax*L2rdt,viscAhMax) |
447 |
|
|
viscAh_Z(i,j)=min(viscAh_ZMax(i,j),viscAh_Z(i,j)) |
448 |
|
|
|
449 |
|
|
C BiHarmonic on Zeta points |
450 |
|
|
Alin=viscA4Z+viscA4Grid*L4rdt |
451 |
|
|
& +viscA4_ZLth(i,j)+viscA4_ZSmg(i,j) |
452 |
|
|
viscA4_ZMin(i,j)=max(viscA4GridMin*L4rdt,U4scl) |
453 |
|
|
viscA4_Z(i,j)=max(viscA4_ZMin(i,j),Alin) |
454 |
|
|
viscA4_ZMax(i,j)=min(viscA4GridMax*L4rdt,viscA4Max) |
455 |
|
|
viscA4_Z(i,j)=min(viscA4_ZMax(i,j),viscA4_Z(i,j)) |
456 |
baylor |
1.1 |
ENDDO |
457 |
|
|
ENDDO |
458 |
|
|
ELSE |
459 |
|
|
DO j=1-Oly,sNy+Oly |
460 |
|
|
DO i=1-Olx,sNx+Olx |
461 |
|
|
viscAh_D(i,j)=viscAhD |
462 |
|
|
viscAh_Z(i,j)=viscAhZ |
463 |
|
|
viscA4_D(i,j)=viscA4D |
464 |
|
|
viscA4_Z(i,j)=viscA4Z |
465 |
|
|
ENDDO |
466 |
|
|
ENDDO |
467 |
|
|
ENDIF |
468 |
|
|
|
469 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
470 |
|
|
IF (useDiagnostics) THEN |
471 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_D,'VISCAHD ',k,1,2,bi,bj,myThid) |
472 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_D,'VISCA4D ',k,1,2,bi,bj,myThid) |
473 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_Z,'VISCAHZ ',k,1,2,bi,bj,myThid) |
474 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_Z,'VISCA4Z ',k,1,2,bi,bj,myThid) |
475 |
baylor |
1.5 |
|
476 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_DMax,'VAHDMAX ',k,1,2,bi,bj,myThid) |
477 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_DMax,'VA4DMAX ',k,1,2,bi,bj,myThid) |
478 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_ZMax,'VAHZMAX ',k,1,2,bi,bj,myThid) |
479 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_ZMax,'VA4ZMAX ',k,1,2,bi,bj,myThid) |
480 |
|
|
|
481 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_DMin,'VAHDMIN ',k,1,2,bi,bj,myThid) |
482 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_DMin,'VA4DMIN ',k,1,2,bi,bj,myThid) |
483 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_ZMin,'VAHZMIN ',k,1,2,bi,bj,myThid) |
484 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_ZMin,'VA4ZMIN ',k,1,2,bi,bj,myThid) |
485 |
|
|
|
486 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_DLth,'VAHDLTH ',k,1,2,bi,bj,myThid) |
487 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_DLth,'VA4DLTH ',k,1,2,bi,bj,myThid) |
488 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_ZLth,'VAHZLTH ',k,1,2,bi,bj,myThid) |
489 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_ZLth,'VA4ZLTH ',k,1,2,bi,bj,myThid) |
490 |
|
|
|
491 |
baylor |
1.7 |
CALL DIAGNOSTICS_FILL(viscAh_DLthD,'VAHDLTHD' |
492 |
baylor |
1.8 |
& ,k,1,2,bi,bj,myThid) |
493 |
baylor |
1.7 |
CALL DIAGNOSTICS_FILL(viscA4_DLthD,'VA4DLTHD' |
494 |
baylor |
1.8 |
& ,k,1,2,bi,bj,myThid) |
495 |
baylor |
1.7 |
CALL DIAGNOSTICS_FILL(viscAh_ZLthD,'VAHZLTHD' |
496 |
baylor |
1.8 |
& ,k,1,2,bi,bj,myThid) |
497 |
baylor |
1.7 |
CALL DIAGNOSTICS_FILL(viscA4_ZLthD,'VA4ZLTHD' |
498 |
baylor |
1.8 |
& ,k,1,2,bi,bj,myThid) |
499 |
baylor |
1.5 |
|
500 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_DSmg,'VAHDSMAG',k,1,2,bi,bj,myThid) |
501 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_DSmg,'VA4DSMAG',k,1,2,bi,bj,myThid) |
502 |
|
|
CALL DIAGNOSTICS_FILL(viscAh_ZSmg,'VAHZSMAG',k,1,2,bi,bj,myThid) |
503 |
|
|
CALL DIAGNOSTICS_FILL(viscA4_ZSmg,'VA4ZSMAG',k,1,2,bi,bj,myThid) |
504 |
baylor |
1.1 |
ENDIF |
505 |
|
|
#endif |
506 |
|
|
|
507 |
|
|
RETURN |
508 |
|
|
END |
509 |
baylor |
1.5 |
|