36 |
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37 |
C !LOCAL VARIABLES: |
C !LOCAL VARIABLES: |
38 |
C == Local variables == |
C == Local variables == |
39 |
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C iMin,iMax,jMin,jMax :: computational domain |
40 |
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C i,j,k :: loop indices |
41 |
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C a5d :: 2nd lower diagonal of the pentadiagonal matrix |
42 |
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C b5d :: 1rst lower diagonal of the pentadiagonal matrix |
43 |
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C c5d :: main diagonal of the pentadiagonal matrix |
44 |
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C d5d :: 1rst upper diagonal of the pentadiagonal matrix |
45 |
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C e5d :: 2nd upper diagonal of the pentadiagonal matrix |
46 |
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C rTrans :: vertical volume transport at interface k |
47 |
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C diagonalNumber :: number of non-zero diagonals in the matrix |
48 |
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C errCode :: > 0 if singular matrix |
49 |
INTEGER iMin,iMax,jMin,jMax |
INTEGER iMin,iMax,jMin,jMax |
50 |
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PARAMETER( iMin = 1, iMax = sNx ) |
51 |
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PARAMETER( jMin = 1, jMax = sNy+1 ) |
52 |
INTEGER i,j,k |
INTEGER i,j,k |
53 |
INTEGER diagonalNumber, errCode |
INTEGER diagonalNumber, errCode |
54 |
c _RL a5d(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
c _RL a5d(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
71 |
C---------------------------- |
C---------------------------- |
72 |
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73 |
C-- Initialise |
C-- Initialise |
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iMin = 1 |
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jMin = 1 |
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iMax = sNx |
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jMax = sNy+1 |
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74 |
DO k=1,Nr |
DO k=1,Nr |
75 |
DO j=1-OLy,sNy+OLy |
DO j=1-OLy,sNy+OLy |
76 |
DO i=1-OLx,sNx+OLx |
DO i=1-OLx,sNx+OLx |
92 |
DO k=2,Nr |
DO k=2,Nr |
93 |
DO j=jMin,jMax |
DO j=jMin,jMax |
94 |
DO i=iMin,iMax |
DO i=iMin,iMax |
95 |
IF (maskS(i,j,k-1,bi,bj).EQ.1.) |
IF (maskS(i,j,k-1,bi,bj).EQ.oneRS) |
96 |
& b5d(i,j,k) = -deltaTMom |
& b5d(i,j,k) = -deltaTMom |
97 |
& *_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
& *_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
98 |
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& *recip_deepFac2C(k)*recip_rhoFacC(k) |
99 |
& *kappaRV(i,j, k )*recip_drC( k ) |
& *kappaRV(i,j, k )*recip_drC( k ) |
100 |
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& *deepFac2F( k )*rhoFacF( k ) |
101 |
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102 |
ENDDO |
ENDDO |
103 |
ENDDO |
ENDDO |
104 |
ENDDO |
ENDDO |
106 |
DO k=1,Nr-1 |
DO k=1,Nr-1 |
107 |
DO j=jMin,jMax |
DO j=jMin,jMax |
108 |
DO i=iMin,iMax |
DO i=iMin,iMax |
109 |
IF (maskS(i,j,k+1,bi,bj).EQ.1.) |
IF (maskS(i,j,k+1,bi,bj).EQ.oneRS) |
110 |
& d5d(i,j,k) = -deltaTMom |
& d5d(i,j,k) = -deltaTMom |
111 |
& *_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
& *_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
112 |
& *KappaRV(i,j,k+1)*recip_drC(k+1) |
& *recip_deepFac2C(k)*recip_rhoFacC(k) |
113 |
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& *kappaRV(i,j,k+1)*recip_drC(k+1) |
114 |
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& *deepFac2F(k+1)*rhoFacF(k+1) |
115 |
ENDDO |
ENDDO |
116 |
ENDDO |
ENDDO |
117 |
ENDDO |
ENDDO |
119 |
DO k=1,Nr |
DO k=1,Nr |
120 |
DO j=jMin,jMax |
DO j=jMin,jMax |
121 |
DO i=iMin,iMax |
DO i=iMin,iMax |
122 |
c5d(i,j,k) = 1. _d 0 - b5d(i,j,k) - d5d(i,j,k) |
c5d(i,j,k) = 1. _d 0 - ( b5d(i,j,k) + d5d(i,j,k) ) |
123 |
ENDDO |
ENDDO |
124 |
ENDDO |
ENDDO |
125 |
ENDDO |
ENDDO |
139 |
& *maskC(i, j ,k-1,bi,bj) |
& *maskC(i, j ,k-1,bi,bj) |
140 |
& + wVel(i,j-1,k,bi,bj)*rA(i,j-1,bi,bj) |
& + wVel(i,j-1,k,bi,bj)*rA(i,j-1,bi,bj) |
141 |
& *maskC(i,j-1,k-1,bi,bj) |
& *maskC(i,j-1,k-1,bi,bj) |
142 |
& ) |
& )*deepFac2F(k)*rhoFacF(k) |
143 |
ENDDO |
ENDDO |
144 |
ENDDO |
ENDDO |
145 |
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158 |
b5d(i,j,k) = b5d(i,j,k) |
b5d(i,j,k) = b5d(i,j,k) |
159 |
& - (rCenter+rUpwind) |
& - (rCenter+rUpwind) |
160 |
& *_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
& *_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
161 |
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& *recip_deepFac2C(k)*recip_rhoFacC(k) |
162 |
c5d(i,j,k) = c5d(i,j,k) |
c5d(i,j,k) = c5d(i,j,k) |
163 |
& + (rCenter+rUpwind) |
& + (rCenter+rUpwind) |
164 |
& *_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
& *_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
165 |
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& *recip_deepFac2C(k)*recip_rhoFacC(k) |
166 |
c5d(i,j,k-1) = c5d(i,j,k-1) |
c5d(i,j,k-1) = c5d(i,j,k-1) |
167 |
& - (rCenter-rUpwind) |
& - (rCenter-rUpwind) |
168 |
& *_recip_hFacS(i,j,k-1,bi,bj)*recip_drF(k-1) |
& *_recip_hFacS(i,j,k-1,bi,bj)*recip_drF(k-1) |
169 |
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& *recip_deepFac2C(k-1)*recip_rhoFacC(k-1) |
170 |
d5d(i,j,k-1) = d5d(i,j,k-1) |
d5d(i,j,k-1) = d5d(i,j,k-1) |
171 |
& + (rCenter-rUpwind) |
& + (rCenter-rUpwind) |
172 |
& *_recip_hFacS(i,j,k-1,bi,bj)*recip_drF(k-1) |
& *_recip_hFacS(i,j,k-1,bi,bj)*recip_drF(k-1) |
173 |
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& *recip_deepFac2C(k-1)*recip_rhoFacC(k-1) |
174 |
ENDDO |
ENDDO |
175 |
ENDDO |
ENDDO |
176 |
ELSE |
ELSE |
181 |
& *recip_rAs(i,j,bi,bj)*rkSign |
& *recip_rAs(i,j,bi,bj)*rkSign |
182 |
b5d(i,j,k) = b5d(i,j,k) |
b5d(i,j,k) = b5d(i,j,k) |
183 |
& - rCenter*_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
& - rCenter*_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
184 |
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& *recip_deepFac2C(k)*recip_rhoFacC(k) |
185 |
c5d(i,j,k) = c5d(i,j,k) |
c5d(i,j,k) = c5d(i,j,k) |
186 |
& - rCenter*_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
& - rCenter*_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
187 |
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& *recip_deepFac2C(k)*recip_rhoFacC(k) |
188 |
c5d(i,j,k-1) = c5d(i,j,k-1) |
c5d(i,j,k-1) = c5d(i,j,k-1) |
189 |
& + rCenter*_recip_hFacS(i,j,k-1,bi,bj)*recip_drF(k-1) |
& + rCenter*_recip_hFacS(i,j,k-1,bi,bj)*recip_drF(k-1) |
190 |
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& *recip_deepFac2C(k-1)*recip_rhoFacC(k-1) |
191 |
d5d(i,j,k-1) = d5d(i,j,k-1) |
d5d(i,j,k-1) = d5d(i,j,k-1) |
192 |
& + rCenter*_recip_hFacS(i,j,k-1,bi,bj)*recip_drF(k-1) |
& + rCenter*_recip_hFacS(i,j,k-1,bi,bj)*recip_drF(k-1) |
193 |
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& *recip_deepFac2C(k-1)*recip_rhoFacC(k-1) |
194 |
ENDDO |
ENDDO |
195 |
ENDDO |
ENDDO |
196 |
STOP 'MOM_IMPLICIT_R: Flux Form not yet finished.' |
STOP 'MOM_IMPLICIT_R: Flux Form not yet finished.' |
233 |
ELSE |
ELSE |
234 |
DO j=jMin,jMax |
DO j=jMin,jMax |
235 |
DO i=iMin,iMax |
DO i=iMin,iMax |
236 |
vf(i,j) = |
vf(i,j) = -rAs(i,j,bi,bj)*deepFac2F(k)*rhoFacF(k) |
237 |
& -KappaRV(i,j,k)*rAs(i,j,bi,bj)*recip_drC(k) |
& * kappaRV(i,j,k)*recip_drC(k)*rkSign |
238 |
& * (gV(i,j,k,bi,bj) - gV(i,j,k-1,bi,bj))*rkSign |
& * (gV(i,j,k,bi,bj) - gV(i,j,k-1,bi,bj)) |
239 |
& *_maskS(i,j,k,bi,bj) |
& *_maskS(i,j,k,bi,bj) |
240 |
& *_maskS(i,j,k-1,bi,bj) |
& *_maskS(i,j,k-1,bi,bj) |
241 |
ENDDO |
ENDDO |