56 |
Zij= hFacZ( i , j )*vort3( i , j ) |
Zij= hFacZ( i , j )*vort3( i , j ) |
57 |
Zpj= hFacZ(i+1, j )*vort3(i+1, j ) |
Zpj= hFacZ(i+1, j )*vort3(i+1, j ) |
58 |
|
|
59 |
|
C This bit scales the harmonic dissipation operator to be proportional |
60 |
|
C to the grid-cell area over the time-step. viscAh is then non-dimensional |
61 |
|
C and should be less than 1/8, for example viscAh=0.01 |
62 |
|
if (viscAhGrid*deltaTmom.NE.0.) then |
63 |
|
Dij=Dij* |
64 |
|
& min(viscAh+viscAhGrid*rA ( i , j ,bi,bj)/deltaTmom,viscAhMax) |
65 |
|
Dim=Dim* |
66 |
|
& min(viscAh+viscAhGrid*rA ( i ,j-1,bi,bj)/deltaTmom,viscAhMax) |
67 |
|
Dmj=Dmj* |
68 |
|
& min(viscAh+viscAhGrid*rA (i-1, j ,bi,bj)/deltaTmom,viscAhMax) |
69 |
|
Zij=Zij* |
70 |
|
& min(viscAh+viscAhGrid*rAz( i , j ,bi,bj)/deltaTmom,viscAhMax) |
71 |
|
Zip=Zip* |
72 |
|
& min(viscAh+viscAhGrid*rAz( i ,j+1,bi,bj)/deltaTmom,viscAhMax) |
73 |
|
Zpj=Zpj* |
74 |
|
& min(viscAh+viscAhGrid*rAz(i+1, j ,bi,bj)/deltaTmom,viscAhMax) |
75 |
|
uD2 = ( |
76 |
|
& cosFacU(j,bi,bj)*( Dij-Dmj )*recip_DXC(i,j,bi,bj) |
77 |
|
& -recip_hFacW(i,j,k,bi,bj)*( Zip-Zij )*recip_DYG(i,j,bi,bj) ) |
78 |
|
vD2 = ( |
79 |
|
& recip_hFacS(i,j,k,bi,bj)*( Zpj-Zij )*recip_DXG(i,j,bi,bj) |
80 |
|
& *cosFacV(j,bi,bj) |
81 |
|
& +( Dij-Dim )*recip_DYC(i,j,bi,bj) ) |
82 |
|
else |
83 |
c uD2 = recip_rAw(i,j,bi,bj)*( |
c uD2 = recip_rAw(i,j,bi,bj)*( |
84 |
c & recip_hFacW(i,j,k,bi,bj)*viscAh*( (Dij-Dmj)*cosFacU(j,bi,bj) ) |
c & recip_hFacW(i,j,k,bi,bj)*viscAh*( (Dij-Dmj)*cosFacU(j,bi,bj) ) |
85 |
c & -recip_hFacW(i,j,k,bi,bj)*viscAh*( Zip-Zij ) ) |
c & -recip_hFacW(i,j,k,bi,bj)*viscAh*( Zip-Zij ) ) |
86 |
c uD2 = recip_rAw(i,j,bi,bj)*( |
c uD2 = recip_rAw(i,j,bi,bj)*( |
87 |
c & viscAh*( (Dij-Dmj)*cosFacU(j,bi,bj) ) |
c & viscAh*( (Dij-Dmj)*cosFacU(j,bi,bj) ) |
88 |
c & -recip_hFacW(i,j,k,bi,bj)*viscAh*( Zip-Zij ) ) |
c & -recip_hFacW(i,j,k,bi,bj)*viscAh*( Zip-Zij ) ) |
89 |
uD2 = viscAh*( |
uD2 = viscAh*( |
90 |
& cosFacU(j,bi,bj)*( Dij-Dmj )*recip_DXC(i,j,bi,bj) |
& cosFacU(j,bi,bj)*( Dij-Dmj )*recip_DXC(i,j,bi,bj) |
91 |
& -recip_hFacW(i,j,k,bi,bj)*( Zip-Zij )*recip_DYG(i,j,bi,bj) ) |
& -recip_hFacW(i,j,k,bi,bj)*( Zip-Zij )*recip_DYG(i,j,bi,bj) ) |
|
|
|
92 |
c vD2 = recip_rAs(i,j,bi,bj)*( |
c vD2 = recip_rAs(i,j,bi,bj)*( |
93 |
c & recip_hFacS(i,j,k,bi,bj)*viscAh*( (Zpj-Zij)*cosFacV(j,bi,bj) ) |
c & recip_hFacS(i,j,k,bi,bj)*viscAh*( (Zpj-Zij)*cosFacV(j,bi,bj) ) |
94 |
c & +recip_hFacS(i,j,k,bi,bj)*viscAh*( Dij-Dim ) ) |
c & +recip_hFacS(i,j,k,bi,bj)*viscAh*( Dij-Dim ) ) |
99 |
& recip_hFacS(i,j,k,bi,bj)*( Zpj-Zij )*recip_DXG(i,j,bi,bj) |
& recip_hFacS(i,j,k,bi,bj)*( Zpj-Zij )*recip_DXG(i,j,bi,bj) |
100 |
& *cosFacV(j,bi,bj) |
& *cosFacV(j,bi,bj) |
101 |
& +( Dij-Dim )*recip_DYC(i,j,bi,bj) ) |
& +( Dij-Dim )*recip_DYC(i,j,bi,bj) ) |
102 |
|
endif |
103 |
|
|
104 |
c Dim=dyF( i ,j-1,bi,bj)*hFacC( i ,j-1,k,bi,bj)*dStar( i ,j-1) |
c Dim=dyF( i ,j-1,bi,bj)*hFacC( i ,j-1,k,bi,bj)*dStar( i ,j-1) |
105 |
c Dij=dyF( i , j ,bi,bj)*hFacC( i , j ,k,bi,bj)*dStar( i , j ) |
c Dij=dyF( i , j ,bi,bj)*hFacC( i , j ,k,bi,bj)*dStar( i , j ) |
112 |
Zij=dxV( i , j ,bi,bj)*hFacZ( i , j )*zStar( i , j ) |
Zij=dxV( i , j ,bi,bj)*hFacZ( i , j )*zStar( i , j ) |
113 |
Zpj=dxV(i+1, j ,bi,bj)*hFacZ(i+1, j )*zStar(i+1, j ) |
Zpj=dxV(i+1, j ,bi,bj)*hFacZ(i+1, j )*zStar(i+1, j ) |
114 |
|
|
115 |
|
C This bit scales the harmonic dissipation operator to be proportional |
116 |
|
C to the grid-cell area over the time-step. viscAh is then non-dimensional |
117 |
|
C and should be less than 1/8, for example viscAh=0.01 |
118 |
|
if (viscAhGrid*deltaTmom.NE.0.) then |
119 |
|
Dij = Dij * min( |
120 |
|
& viscA4+viscA4Grid*(rA ( i , j ,bi,bj)**2)/deltaTmom, |
121 |
|
& viscA4Max) |
122 |
|
Dim = Dim * min( |
123 |
|
& viscA4+viscA4Grid*(rA ( i ,j-1,bi,bj)**2)/deltaTmom, |
124 |
|
& viscA4Max) |
125 |
|
Dmj = Dmj * min( |
126 |
|
& viscA4+viscA4Grid*(rA (i-1, j ,bi,bj)**2)/deltaTmom, |
127 |
|
& viscA4Max) |
128 |
|
Zij = Zij * min( |
129 |
|
& viscA4+viscA4Grid*(rAz( i , j ,bi,bj)**2)/deltaTmom, |
130 |
|
& viscA4Max) |
131 |
|
Zip = Zip * min( |
132 |
|
& viscA4+viscA4Grid*(rAz( i ,j+1,bi,bj)**2)/deltaTmom, |
133 |
|
& viscA4Max) |
134 |
|
Zpj = Zpj * min( |
135 |
|
& viscA4+viscA4Grid*(rAz(i+1, j ,bi,bj)**2)/deltaTmom, |
136 |
|
& viscA4Max) |
137 |
|
uD4 = recip_rAw(i,j,bi,bj)*( |
138 |
|
& ( (Dij-Dmj)*cosFacU(j,bi,bj) ) |
139 |
|
& -recip_hFacW(i,j,k,bi,bj)*( Zip-Zij ) ) |
140 |
|
vD4 = recip_rAs(i,j,bi,bj)*( |
141 |
|
& recip_hFacS(i,j,k,bi,bj)*( (Zpj-Zij)*cosFacV(j,bi,bj) ) |
142 |
|
& + ( Dij-Dim ) ) |
143 |
|
else |
144 |
c uD4 = recip_rAw(i,j,bi,bj)*( |
c uD4 = recip_rAw(i,j,bi,bj)*( |
145 |
c & recip_hFacW(i,j,k,bi,bj)*viscA4*( (Dij-Dmj)*cosFacU(j,bi,bj) ) |
c & recip_hFacW(i,j,k,bi,bj)*viscA4*( (Dij-Dmj)*cosFacU(j,bi,bj) ) |
146 |
c & -recip_hFacW(i,j,k,bi,bj)*viscA4*( Zip-Zij ) ) |
c & -recip_hFacW(i,j,k,bi,bj)*viscA4*( Zip-Zij ) ) |
147 |
uD4 = recip_rAw(i,j,bi,bj)*( |
uD4 = recip_rAw(i,j,bi,bj)*( |
148 |
& viscA4*( (Dij-Dmj)*cosFacU(j,bi,bj) ) |
& viscA4*( (Dij-Dmj)*cosFacU(j,bi,bj) ) |
149 |
& -recip_hFacW(i,j,k,bi,bj)*viscA4*( Zip-Zij ) ) |
& -recip_hFacW(i,j,k,bi,bj)*viscA4*( Zip-Zij ) ) |
150 |
|
|
151 |
c vD4 = recip_rAs(i,j,bi,bj)*( |
c vD4 = recip_rAs(i,j,bi,bj)*( |
152 |
c & recip_hFacS(i,j,k,bi,bj)*viscA4*( (Zpj-Zij)*cosFacV(j,bi,bj) ) |
c & recip_hFacS(i,j,k,bi,bj)*viscA4*( (Zpj-Zij)*cosFacV(j,bi,bj) ) |
153 |
c & +recip_hFacS(i,j,k,bi,bj)*viscA4*( Dij-Dim ) ) |
c & +recip_hFacS(i,j,k,bi,bj)*viscA4*( Dij-Dim ) ) |
154 |
vD4 = recip_rAs(i,j,bi,bj)*( |
vD4 = recip_rAs(i,j,bi,bj)*( |
155 |
& recip_hFacS(i,j,k,bi,bj)*viscA4*( (Zpj-Zij)*cosFacV(j,bi,bj) ) |
& recip_hFacS(i,j,k,bi,bj)*viscA4*( (Zpj-Zij)*cosFacV(j,bi,bj) ) |
156 |
& + viscA4*( Dij-Dim ) ) |
& + viscA4*( Dij-Dim ) ) |
157 |
|
endif |
158 |
|
|
159 |
uDissip(i,j) = uD2 - uD4 |
uDissip(i,j) = uD2 - uD4 |
160 |
vDissip(i,j) = vD2 - vD4 |
vDissip(i,j) = vD2 - vD4 |