1 |
jmc |
1.21 |
C $Header: /u/gcmpack/MITgcm/model/src/ini_cg3d.F,v 1.20 2006/02/23 20:55:49 jmc Exp $ |
2 |
jmc |
1.10 |
C $Name: $ |
3 |
adcroft |
1.1 |
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4 |
edhill |
1.15 |
#include "PACKAGES_CONFIG.h" |
5 |
adcroft |
1.1 |
#include "CPP_OPTIONS.h" |
6 |
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7 |
cnh |
1.13 |
CBOP |
8 |
jmc |
1.18 |
C !ROUTINE: INI_CG3D |
9 |
cnh |
1.13 |
C !INTERFACE: |
10 |
adcroft |
1.1 |
SUBROUTINE INI_CG3D( myThid ) |
11 |
cnh |
1.13 |
C !DESCRIPTION: \bv |
12 |
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C *==========================================================* |
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C | SUBROUTINE INI_CG3D |
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C | o Initialise 3d conjugate gradient solver operators. |
15 |
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C *==========================================================* |
16 |
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C | These arrays are purely a function of the basin geom. |
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C | We set then here once and them use then repeatedly. |
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C *==========================================================* |
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C \ev |
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21 |
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C !USES: |
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adcroft |
1.3 |
IMPLICIT NONE |
23 |
adcroft |
1.1 |
C === Global variables === |
24 |
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#include "SIZE.h" |
25 |
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#include "EEPARAMS.h" |
26 |
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#include "PARAMS.h" |
27 |
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#include "GRID.h" |
28 |
jmc |
1.19 |
#include "SURFACE.h" |
29 |
adcroft |
1.1 |
#include "CG3D.h" |
30 |
adcroft |
1.12 |
#include "SOLVE_FOR_PRESSURE3D.h" |
31 |
adcroft |
1.4 |
#ifdef ALLOW_OBCS |
32 |
adcroft |
1.1 |
#include "OBCS.h" |
33 |
adcroft |
1.4 |
#endif |
34 |
adcroft |
1.1 |
|
35 |
cnh |
1.13 |
C !INPUT/OUTPUT PARAMETERS: |
36 |
adcroft |
1.1 |
C === Routine arguments === |
37 |
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C myThid - Thread no. that called this routine. |
38 |
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INTEGER myThid |
39 |
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40 |
adcroft |
1.6 |
#ifdef ALLOW_NONHYDROSTATIC |
41 |
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42 |
cnh |
1.13 |
C !LOCAL VARIABLES: |
43 |
adcroft |
1.1 |
C === Local variables === |
44 |
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C bi,bj - Loop counters |
45 |
jmc |
1.18 |
C I,J,K - Loop counters |
46 |
adcroft |
1.1 |
C faceArea - Temporary used to hold cell face areas. |
47 |
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C myNorm - Work variable used in clculating normalisation factor |
48 |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
49 |
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INTEGER bi, bj |
50 |
jmc |
1.20 |
INTEGER I, J, K, ks |
51 |
adcroft |
1.1 |
_RL faceArea |
52 |
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_RS myNorm |
53 |
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_RL theRecip_Dr |
54 |
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_RL aU, aL, aW, aE, aN, aS, aC |
55 |
jmc |
1.20 |
_RL tmpFac, nh_Fac, igwFac |
56 |
cnh |
1.13 |
CEOP |
57 |
adcroft |
1.1 |
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58 |
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CcnhDebugStarts |
59 |
jmc |
1.18 |
c _RL phi(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
60 |
adcroft |
1.1 |
CcnhDebugEnds |
61 |
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jmc |
1.18 |
C-- Initialise to zero over the full range of indices |
63 |
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DO bj=myByLo(myThid),myByHi(myThid) |
64 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
65 |
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DO K=1,Nr |
66 |
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C- From common bloc CG3D_R: |
67 |
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DO J=1-OLy,sNy+OLy |
68 |
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DO I=1-OLx,sNx+OLx |
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aW3d(I,J,K,bi,bj) = 0. |
70 |
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aS3d(I,J,K,bi,bj) = 0. |
71 |
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aV3d(I,J,K,bi,bj) = 0. |
72 |
jmc |
1.19 |
aC3d(I,J,K,bi,bj) = 0. |
73 |
jmc |
1.18 |
zMC (I,J,K,bi,bj) = 0. |
74 |
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zML (I,J,K,bi,bj) = 0. |
75 |
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zMU (I,J,K,bi,bj) = 0. |
76 |
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ENDDO |
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ENDDO |
78 |
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C- From common bloc CG3D_WK_R: |
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DO J=0,sNy+1 |
80 |
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DO I=0,sNx+1 |
81 |
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cg3d_q(I,J,K,bi,bj) = 0. |
82 |
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cg3d_r(I,J,K,bi,bj) = 0. |
83 |
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cg3d_s(I,J,K,bi,bj) = 0. |
84 |
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ENDDO |
85 |
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ENDDO |
86 |
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C- From common bloc SFP3D_COMMON_R: |
87 |
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DO J=1-OLy,sNy+OLy |
88 |
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DO I=1-OLx,sNx+OLx |
89 |
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cg3d_b(I,J,K,bi,bj) = 0. |
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ENDDO |
91 |
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ENDDO |
92 |
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ENDDO |
93 |
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ENDDO |
94 |
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ENDDO |
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96 |
jmc |
1.20 |
nh_Fac = 0. |
97 |
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igwFac = 0. |
98 |
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IF ( nonHydrostatic |
99 |
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& .AND. nh_Am2.NE.0. ) nh_Fac = 1. _d 0 / nh_Am2 |
100 |
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IF ( implicitIntGravWave ) igwFac = 1. _d 0 |
101 |
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102 |
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IF ( use3Dsolver ) THEN |
103 |
adcroft |
1.1 |
C-- Initialise laplace operator |
104 |
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C aW3d: Ax/dX |
105 |
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C aS3d: Ay/dY |
106 |
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C aV3d: Ar/dR |
107 |
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myNorm = 0. _d 0 |
108 |
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DO bj=myByLo(myThid),myByHi(myThid) |
109 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
110 |
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DO K=1,Nr |
111 |
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DO J=1,sNy |
112 |
jmc |
1.19 |
DO I=1,sNx+1 |
113 |
adcroft |
1.1 |
faceArea = _dyG(I,J,bi,bj)*drF(K) |
114 |
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& *_hFacW(I,J,K,bi,bj) |
115 |
jmc |
1.10 |
aW3d(I,J,K,bi,bj) = faceArea*recip_dxC(I,J,bi,bj) |
116 |
jmc |
1.19 |
myNorm = MAX(ABS(aW3d(I,J,K,bi,bj)),myNorm) |
117 |
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ENDDO |
118 |
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ENDDO |
119 |
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DO J=1,sNy+1 |
120 |
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DO I=1,sNx |
121 |
adcroft |
1.1 |
faceArea = _dxG(I,J,bi,bj)*drF(K) |
122 |
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& *_hFacS(I,J,K,bi,bj) |
123 |
jmc |
1.10 |
aS3d(I,J,K,bi,bj) = faceArea*recip_dyC(I,J,bi,bj) |
124 |
adcroft |
1.1 |
myNorm = MAX(ABS(aS3d(I,J,K,bi,bj)),myNorm) |
125 |
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ENDDO |
126 |
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ENDDO |
127 |
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ENDDO |
128 |
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DO K=1,1 |
129 |
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DO J=1,sNy |
130 |
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DO I=1,sNx |
131 |
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aV3d(I,J,K,bi,bj) = 0. |
132 |
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myNorm = MAX(ABS(aV3d(I,J,K,bi,bj)),myNorm) |
133 |
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ENDDO |
134 |
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ENDDO |
135 |
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ENDDO |
136 |
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DO K=2,Nr |
137 |
jmc |
1.20 |
tmpFac = nh_Fac*recip_horiVertRatio*recip_horiVertRatio |
138 |
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& + igwFac*dBdrRef(k)*deltaTMom*dTtracerLev(k) |
139 |
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IF (tmpFac.GT.0. ) tmpFac = 1. _d 0 / tmpFac |
140 |
adcroft |
1.1 |
DO J=1,sNy |
141 |
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DO I=1,sNx |
142 |
jmc |
1.18 |
faceArea = _rA(I,J,bi,bj)*maskC(I,J, K ,bi,bj) |
143 |
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& *maskC(I,J,K-1,bi,bj) |
144 |
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theRecip_Dr = recip_drC(K) |
145 |
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c theRecip_Dr = |
146 |
adcroft |
1.1 |
caja & drF(K )*_hFacC(i,j,k ,bi,bj)*0.5 |
147 |
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caja & +drF(K-1)*_hFacC(i,j,k-1,bi,bj)*0.5 |
148 |
jmc |
1.18 |
c IF ( theRecip_Dr .NE. 0. ) |
149 |
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c & theRecip_Dr = 1. _d 0/theRecip_Dr |
150 |
jmc |
1.20 |
aV3d(I,J,K,bi,bj) = faceArea*theRecip_Dr*tmpFac |
151 |
adcroft |
1.1 |
myNorm = MAX(ABS(aV3d(I,J,K,bi,bj)),myNorm) |
152 |
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ENDDO |
153 |
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ENDDO |
154 |
adcroft |
1.5 |
ENDDO |
155 |
adcroft |
1.4 |
#ifdef ALLOW_OBCS |
156 |
jmc |
1.18 |
IF ( useOBCS ) THEN |
157 |
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DO K=1,Nr |
158 |
adcroft |
1.1 |
DO I=1,sNx |
159 |
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IF (OB_Jn(I,bi,bj).NE.0) THEN |
160 |
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aS3d(I,OB_Jn(I,bi,bj),K,bi,bj)=0. |
161 |
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aS3d(I,OB_Jn(I,bi,bj)+1,K,bi,bj)=0. |
162 |
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aW3d(I,OB_Jn(I,bi,bj),K,bi,bj)=0. |
163 |
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aW3d(I+1,OB_Jn(I,bi,bj),K,bi,bj)=0. |
164 |
adcroft |
1.7 |
aV3d(I,OB_Jn(I,bi,bj),K,bi,bj)=0. |
165 |
adcroft |
1.1 |
ENDIF |
166 |
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IF (OB_Js(I,bi,bj).NE.0) THEN |
167 |
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aS3d(I,OB_Js(I,bi,bj)+1,K,bi,bj)=0. |
168 |
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aS3d(I,OB_Js(I,bi,bj),K,bi,bj)=0. |
169 |
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aW3d(I,OB_Js(I,bi,bj),K,bi,bj)=0. |
170 |
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aW3d(I+1,OB_Js(I,bi,bj),K,bi,bj)=0. |
171 |
adcroft |
1.7 |
aV3d(I,OB_Js(I,bi,bj),K,bi,bj)=0. |
172 |
adcroft |
1.1 |
ENDIF |
173 |
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ENDDO |
174 |
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DO J=1,sNy |
175 |
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IF (OB_Ie(J,bi,bj).NE.0) THEN |
176 |
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aW3d(OB_Ie(J,bi,bj),J,K,bi,bj)=0. |
177 |
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aW3d(OB_Ie(J,bi,bj)+1,J,K,bi,bj)=0. |
178 |
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aS3d(OB_Ie(J,bi,bj),J,K,bi,bj)=0. |
179 |
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aS3d(OB_Ie(J,bi,bj),J+1,K,bi,bj)=0. |
180 |
adcroft |
1.8 |
aV3d(OB_Ie(J,bi,bj),J,K,bi,bj)=0. |
181 |
adcroft |
1.1 |
ENDIF |
182 |
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IF (OB_Iw(J,bi,bj).NE.0) THEN |
183 |
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aW3d(OB_Iw(J,bi,bj)+1,J,K,bi,bj)=0. |
184 |
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aW3d(OB_Iw(J,bi,bj),J,K,bi,bj)=0. |
185 |
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aS3d(OB_Iw(J,bi,bj),J,K,bi,bj)=0. |
186 |
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aS3d(OB_Iw(J,bi,bj),J+1,K,bi,bj)=0. |
187 |
adcroft |
1.8 |
aV3d(OB_Iw(J,bi,bj),J,K,bi,bj)=0. |
188 |
adcroft |
1.1 |
ENDIF |
189 |
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ENDDO |
190 |
jmc |
1.18 |
ENDDO |
191 |
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ENDIF |
192 |
adcroft |
1.4 |
#endif |
193 |
adcroft |
1.1 |
ENDDO |
194 |
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ENDDO |
195 |
adcroft |
1.2 |
_GLOBAL_MAX_R4( myNorm, myThid ) |
196 |
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IF ( myNorm .NE. 0. _d 0 ) THEN |
197 |
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myNorm = 1. _d 0/myNorm |
198 |
adcroft |
1.1 |
ELSE |
199 |
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myNorm = 1. _d 0 |
200 |
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ENDIF |
201 |
jmc |
1.21 |
_BEGIN_MASTER( myThid ) |
202 |
adcroft |
1.1 |
cg3dNorm = myNorm |
203 |
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CcnhDebugStarts |
204 |
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WRITE(msgBuf,'(A,E40.25)') '// CG3D normalisation factor = ' |
205 |
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& , cg3dNorm |
206 |
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CALL PRINT_MESSAGE( msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
207 |
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WRITE(msgBuf,*) ' ' |
208 |
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CALL PRINT_MESSAGE( msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
209 |
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CcnhDebugEnds |
210 |
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_END_MASTER( myThid ) |
211 |
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DO bj=myByLo(myThid),myByHi(myThid) |
212 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
213 |
jmc |
1.19 |
C- Set solver main diagonal term |
214 |
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DO K=1,Nr |
215 |
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DO J=1,sNy |
216 |
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DO I=1,sNx |
217 |
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aW = aW3d(I ,J,K,bi,bj) |
218 |
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aE = aW3d(I+1,J,K,bi,bj) |
219 |
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aN = aS3d(I,J+1,K,bi,bj) |
220 |
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aS = aS3d(I,J ,K,bi,bj) |
221 |
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aU = aV3d(I,J,K,bi,bj) |
222 |
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IF ( K .NE. Nr ) THEN |
223 |
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aL = aV3d(I,J,K+1,bi,bj) |
224 |
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ELSE |
225 |
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aL = 0. |
226 |
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ENDIF |
227 |
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aC3d(I,J,K,bi,bj) = -aW-aE-aN-aS-aU-aL |
228 |
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ENDDO |
229 |
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ENDDO |
230 |
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ENDDO |
231 |
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C- Add free-surface source term |
232 |
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DO J=1,sNy |
233 |
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DO I=1,sNx |
234 |
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ks = ksurfC(I,J,bi,bj) |
235 |
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IF ( ks.LE.Nr ) THEN |
236 |
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aC3d(I,J,ks,bi,bj) = aC3d(I,J,ks,bi,bj) |
237 |
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& -freeSurfFac*recip_Bo(I,J,bi,bj) |
238 |
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& *rA(I,J,bi,bj)/deltaTMom/deltaTfreesurf |
239 |
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ENDIF |
240 |
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ENDDO |
241 |
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ENDDO |
242 |
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C- Matrix solver normalisation |
243 |
adcroft |
1.1 |
DO K=1,Nr |
244 |
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DO J=1,sNy |
245 |
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DO I=1,sNx |
246 |
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aW3d(I,J,K,bi,bj) = aW3d(I,J,K,bi,bj)*myNorm |
247 |
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aS3d(I,J,K,bi,bj) = aS3d(I,J,K,bi,bj)*myNorm |
248 |
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aV3d(I,J,K,bi,bj) = aV3d(I,J,K,bi,bj)*myNorm |
249 |
jmc |
1.19 |
aC3d(I,J,K,bi,bj) = aC3d(I,J,K,bi,bj)*myNorm |
250 |
adcroft |
1.1 |
ENDDO |
251 |
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ENDDO |
252 |
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ENDDO |
253 |
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ENDDO |
254 |
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ENDDO |
255 |
jmc |
1.19 |
|
256 |
adcroft |
1.1 |
C-- Update overlap regions |
257 |
jmc |
1.18 |
c _EXCH_XYZ_R4(aW3d, myThid) |
258 |
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c _EXCH_XYZ_R4(aS3d, myThid) |
259 |
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CALL EXCH_UV_XYZ_RS(aW3d,aS3d,.FALSE.,myThid) |
260 |
adcroft |
1.1 |
_EXCH_XYZ_R4(aV3d, myThid) |
261 |
jmc |
1.19 |
_EXCH_XYZ_R4(aC3d, myThid) |
262 |
adcroft |
1.1 |
CcnhDebugStarts |
263 |
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C CALL PLOT_FIELD_XYZRS( aW3d, 'AW3D INI_CG3D.1' , Nr, 1, myThid ) |
264 |
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C CALL PLOT_FIELD_XYZRS( aS3d, 'AS3D INI_CG3D.1' , Nr, 1, myThid ) |
265 |
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CcnhDebugEnds |
266 |
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267 |
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C-- Initialise preconditioner |
268 |
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C For now PC is just the identity. Change to |
269 |
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C be LU factorization of d2/dz2 later. Note |
270 |
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C check for consistency with S/R CG3D before |
271 |
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C assuming zML is lower and zMU is upper! |
272 |
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DO bj=myByLo(myThid),myByHi(myThid) |
273 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
274 |
jmc |
1.19 |
DO K=1,Nr |
275 |
adcroft |
1.1 |
DO J=1,sNy |
276 |
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DO I=1,sNx |
277 |
jmc |
1.19 |
IF ( aC3d(I,J,K,bi,bj) .NE. 0. ) THEN |
278 |
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zMC(i,j,k,bi,bj) = aC3d(I,J,K,bi,bj) |
279 |
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zML(i,j,k,bi,bj) = aV3d(I,J,K,bi,bj) |
280 |
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zMU(i,j,k,bi,bj) = 0. |
281 |
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IF ( K.NE.Nr ) |
282 |
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& zMU(i,j,k,bi,bj) = aV3d(I,J,K+1,bi,bj) |
283 |
adcroft |
1.1 |
CcnhDebugStarts |
284 |
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C zMC(i,j,k,bi,bj) = 1. |
285 |
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C zMU(i,j,k,bi,bj) = 0. |
286 |
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C zML(i,j,k,bi,bj) = 0. |
287 |
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CcnhDebugEnds |
288 |
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ELSE |
289 |
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zMC(i,j,k,bi,bj) = 1. _d 0 |
290 |
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zMU(i,j,k,bi,bj) = 0. |
291 |
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zML(i,j,k,bi,bj) = 0. |
292 |
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ENDIF |
293 |
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ENDDO |
294 |
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ENDDO |
295 |
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ENDDO |
296 |
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DO J=1,sNy |
297 |
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DO I=1,sNx |
298 |
|
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zMC(i,j,1,bi,bj)= |
299 |
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& 1. _d 0 / zMC(i,j,1,bi,bj) |
300 |
|
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zMU(i,j,1,bi,bj)= |
301 |
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& zMU(i,j,1,bi,bj)*zMC(i,j,1,bi,bj) |
302 |
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ENDDO |
303 |
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ENDDO |
304 |
jmc |
1.19 |
DO K=2,Nr |
305 |
adcroft |
1.1 |
DO J=1,sNy |
306 |
|
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DO I=1,sNx |
307 |
|
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zMC(i,j,k,bi,bj) = 1. _d 0 / |
308 |
|
|
& (zMC(i,j,k,bi,bj)-zML(i,j,k,bi,bj)*zMU(i,j,k-1,bi,bj)) |
309 |
|
|
zMU(i,j,k,bi,bj)=zMU(i,j,k,bi,bj)*zMC(i,j,k,bi,bj) |
310 |
|
|
ENDDO |
311 |
|
|
ENDDO |
312 |
|
|
ENDDO |
313 |
jmc |
1.19 |
DO K=1,Nr |
314 |
adcroft |
1.1 |
DO J=1,sNy |
315 |
|
|
DO I=1,sNx |
316 |
|
|
aW = aW3d(I ,J,K,bi,bj) |
317 |
|
|
aE = aW3d(I+1,J,K,bi,bj) |
318 |
|
|
aN = aS3d(I,J+1,K,bi,bj) |
319 |
|
|
aS = aS3d(I,J ,K,bi,bj) |
320 |
|
|
IF ( K .NE. 1 ) THEN |
321 |
|
|
aU = aV3d(I,J,K-1,bi,bj) |
322 |
|
|
ELSE |
323 |
jmc |
1.19 |
aU = 0. |
324 |
adcroft |
1.1 |
ENDIF |
325 |
|
|
IF ( K .NE. Nr ) THEN |
326 |
|
|
aL = aV3d(I,J,K+1,bi,bj) |
327 |
|
|
ELSE |
328 |
jmc |
1.19 |
aL = 0. |
329 |
adcroft |
1.1 |
ENDIF |
330 |
|
|
aC = -aW-aE-aN-aS-aU-aL |
331 |
|
|
IF ( aC .EQ. 0. ) THEN |
332 |
adcroft |
1.5 |
zMC(i,j,k,bi,bj) = 1. |
333 |
adcroft |
1.1 |
zML(i,j,k,bi,bj) = 0. |
334 |
|
|
zMU(i,j,k,bi,bj) = 0. |
335 |
|
|
CcnhDebugStarts |
336 |
|
|
C ELSE |
337 |
|
|
C zMC(i,j,k,bi,bj) = 1. |
338 |
|
|
C zML(i,j,k,bi,bj) = 0. |
339 |
|
|
C zMU(i,j,k,bi,bj) = 0. |
340 |
|
|
CcnhDEbugEnds |
341 |
|
|
ENDIF |
342 |
|
|
ENDDO |
343 |
|
|
ENDDO |
344 |
|
|
ENDDO |
345 |
|
|
ENDDO |
346 |
|
|
ENDDO |
347 |
|
|
C-- Update overlap regions |
348 |
|
|
_EXCH_XYZ_R4(zMC, myThid) |
349 |
|
|
_EXCH_XYZ_R4(zML, myThid) |
350 |
|
|
_EXCH_XYZ_R4(zMU, myThid) |
351 |
|
|
|
352 |
|
|
CcnhDebugStarts |
353 |
jmc |
1.18 |
c DO k=1,Nr |
354 |
|
|
c DO j=1-OLy,sNy+OLy |
355 |
|
|
c DO i=1-OLx,sNx+OLx |
356 |
|
|
c phi(i,j,1,1) = zMc(i,j,k,1,1) |
357 |
|
|
c ENDDO |
358 |
|
|
c ENDDO |
359 |
adcroft |
1.1 |
C CALL PLOT_FIELD_XYRS( phi, 'zMC INI_CG3D.1' , 1, myThid ) |
360 |
jmc |
1.18 |
c ENDDO |
361 |
adcroft |
1.1 |
C CALL PLOT_FIELD_XYRS( zMU, 'zMU INI_CG3D.1' , Nr, 1, myThid ) |
362 |
|
|
C CALL PLOT_FIELD_XYRS( zML, 'zML INI_CG3D.1' , Nr, 1, myThid ) |
363 |
|
|
CcnhDebugEnds |
364 |
|
|
|
365 |
jmc |
1.20 |
C-- end if (use3Dsolver) |
366 |
|
|
ENDIF |
367 |
|
|
|
368 |
adcroft |
1.1 |
#endif /* ALLOW_NONHYDROSTATIC */ |
369 |
|
|
|
370 |
|
|
RETURN |
371 |
|
|
END |