1 |
edhill |
1.15 |
C $Header: /u/u3/gcmpack/MITgcm/model/src/ini_cg3d.F,v 1.14 2003/10/09 04:19:18 edhill Exp $ |
2 |
jmc |
1.10 |
C $Name: $ |
3 |
adcroft |
1.1 |
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4 |
edhill |
1.15 |
#include "PACKAGES_CONFIG.h" |
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adcroft |
1.1 |
#include "CPP_OPTIONS.h" |
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cnh |
1.13 |
CBOP |
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C !ROUTINE: INI_CG2D |
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C !INTERFACE: |
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adcroft |
1.1 |
SUBROUTINE INI_CG3D( myThid ) |
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cnh |
1.13 |
C !DESCRIPTION: \bv |
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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. |
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C *==========================================================* |
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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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C !USES: |
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adcroft |
1.3 |
IMPLICIT NONE |
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adcroft |
1.1 |
C === Global variables === |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "GRID.h" |
28 |
jmc |
1.10 |
c_jmc #include "DYNVARS.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 |
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adcroft |
1.1 |
|
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cnh |
1.13 |
C !INPUT/OUTPUT PARAMETERS: |
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adcroft |
1.1 |
C === Routine arguments === |
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C myThid - Thread no. that called this routine. |
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INTEGER myThid |
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40 |
adcroft |
1.6 |
#ifdef ALLOW_NONHYDROSTATIC |
41 |
edhill |
1.14 |
ceh3 needs an IF ( useNONHYDROSTATIC ) THEN |
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adcroft |
1.6 |
|
43 |
cnh |
1.13 |
C !LOCAL VARIABLES: |
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adcroft |
1.1 |
C === Local variables === |
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C xG, yG - Global coordinate location. |
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C zG |
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C iG, jG - Global coordinate index |
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C bi,bj - Loop counters |
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C faceArea - Temporary used to hold cell face areas. |
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C I,J,K |
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C myNorm - Work variable used in clculating normalisation factor |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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INTEGER bi, bj |
54 |
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INTEGER I, J, K |
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_RL faceArea |
56 |
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_RS myNorm |
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_RL aCw, aCs |
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_RL theRecip_Dr |
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_RL aU, aL, aW, aE, aN, aS, aC |
60 |
cnh |
1.13 |
CEOP |
61 |
adcroft |
1.1 |
|
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CcnhDebugStarts |
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_RL phi(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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CcnhDebugEnds |
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66 |
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C-- Initialise laplace operator |
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C aW3d: Ax/dX |
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C aS3d: Ay/dY |
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C aV3d: Ar/dR |
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myNorm = 0. _d 0 |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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DO K=1,Nr |
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DO J=1,sNy |
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DO I=1,sNx |
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faceArea = _dyG(I,J,bi,bj)*drF(K) |
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& *_hFacW(I,J,K,bi,bj) |
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jmc |
1.10 |
aW3d(I,J,K,bi,bj) = faceArea*recip_dxC(I,J,bi,bj) |
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adcroft |
1.1 |
faceArea = _dxG(I,J,bi,bj)*drF(K) |
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& *_hFacS(I,J,K,bi,bj) |
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jmc |
1.10 |
aS3d(I,J,K,bi,bj) = faceArea*recip_dyC(I,J,bi,bj) |
82 |
adcroft |
1.1 |
myNorm = MAX(ABS(aW3d(I,J,K,bi,bj)),myNorm) |
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myNorm = MAX(ABS(aS3d(I,J,K,bi,bj)),myNorm) |
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ENDDO |
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ENDDO |
86 |
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ENDDO |
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DO K=1,1 |
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DO J=1,sNy |
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DO I=1,sNx |
90 |
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aV3d(I,J,K,bi,bj) = 0. |
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myNorm = MAX(ABS(aV3d(I,J,K,bi,bj)),myNorm) |
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ENDDO |
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ENDDO |
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ENDDO |
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DO K=2,Nr |
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DO J=1,sNy |
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DO I=1,sNx |
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IF ( _hFacC(i,j,k,bi,bj) .EQ. 0. ) THEN |
99 |
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faceArea = 0. |
100 |
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ELSE |
101 |
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faceArea = _rA(I,J,bi,bj) |
102 |
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ENDIF |
103 |
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theRecip_Dr = |
104 |
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& drC(K) |
105 |
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caja & drF(K )*_hFacC(i,j,k ,bi,bj)*0.5 |
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caja & +drF(K-1)*_hFacC(i,j,k-1,bi,bj)*0.5 |
107 |
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IF ( theRecip_Dr .NE. 0. ) |
108 |
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& theRecip_Dr = 1. _d 0/theRecip_Dr |
109 |
jmc |
1.10 |
aV3d(I,J,K,bi,bj) = faceArea*theRecip_Dr |
110 |
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& *horiVertRatio*horiVertRatio |
111 |
adcroft |
1.1 |
myNorm = MAX(ABS(aV3d(I,J,K,bi,bj)),myNorm) |
112 |
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ENDDO |
113 |
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ENDDO |
114 |
adcroft |
1.5 |
ENDDO |
115 |
adcroft |
1.4 |
#ifdef ALLOW_OBCS |
116 |
edhill |
1.14 |
ceh3 needs an IF ( useOBCS ) THEN |
117 |
adcroft |
1.5 |
DO K=1,Nr |
118 |
adcroft |
1.8 |
IF (useOBCS) THEN |
119 |
adcroft |
1.1 |
DO I=1,sNx |
120 |
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IF (OB_Jn(I,bi,bj).NE.0) THEN |
121 |
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aS3d(I,OB_Jn(I,bi,bj),K,bi,bj)=0. |
122 |
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aS3d(I,OB_Jn(I,bi,bj)+1,K,bi,bj)=0. |
123 |
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aW3d(I,OB_Jn(I,bi,bj),K,bi,bj)=0. |
124 |
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aW3d(I+1,OB_Jn(I,bi,bj),K,bi,bj)=0. |
125 |
adcroft |
1.7 |
aV3d(I,OB_Jn(I,bi,bj),K,bi,bj)=0. |
126 |
adcroft |
1.1 |
ENDIF |
127 |
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IF (OB_Js(I,bi,bj).NE.0) THEN |
128 |
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aS3d(I,OB_Js(I,bi,bj)+1,K,bi,bj)=0. |
129 |
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aS3d(I,OB_Js(I,bi,bj),K,bi,bj)=0. |
130 |
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aW3d(I,OB_Js(I,bi,bj),K,bi,bj)=0. |
131 |
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aW3d(I+1,OB_Js(I,bi,bj),K,bi,bj)=0. |
132 |
adcroft |
1.7 |
aV3d(I,OB_Js(I,bi,bj),K,bi,bj)=0. |
133 |
adcroft |
1.1 |
ENDIF |
134 |
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ENDDO |
135 |
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DO J=1,sNy |
136 |
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IF (OB_Ie(J,bi,bj).NE.0) THEN |
137 |
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aW3d(OB_Ie(J,bi,bj),J,K,bi,bj)=0. |
138 |
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aW3d(OB_Ie(J,bi,bj)+1,J,K,bi,bj)=0. |
139 |
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aS3d(OB_Ie(J,bi,bj),J,K,bi,bj)=0. |
140 |
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aS3d(OB_Ie(J,bi,bj),J+1,K,bi,bj)=0. |
141 |
adcroft |
1.8 |
aV3d(OB_Ie(J,bi,bj),J,K,bi,bj)=0. |
142 |
adcroft |
1.1 |
ENDIF |
143 |
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IF (OB_Iw(J,bi,bj).NE.0) THEN |
144 |
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aW3d(OB_Iw(J,bi,bj)+1,J,K,bi,bj)=0. |
145 |
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aW3d(OB_Iw(J,bi,bj),J,K,bi,bj)=0. |
146 |
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aS3d(OB_Iw(J,bi,bj),J,K,bi,bj)=0. |
147 |
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aS3d(OB_Iw(J,bi,bj),J+1,K,bi,bj)=0. |
148 |
adcroft |
1.8 |
aV3d(OB_Iw(J,bi,bj),J,K,bi,bj)=0. |
149 |
adcroft |
1.1 |
ENDIF |
150 |
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ENDDO |
151 |
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ENDIF |
152 |
adcroft |
1.5 |
ENDDO |
153 |
adcroft |
1.4 |
#endif |
154 |
adcroft |
1.1 |
ENDDO |
155 |
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ENDDO |
156 |
adcroft |
1.2 |
_GLOBAL_MAX_R4( myNorm, myThid ) |
157 |
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IF ( myNorm .NE. 0. _d 0 ) THEN |
158 |
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myNorm = 1. _d 0/myNorm |
159 |
adcroft |
1.1 |
ELSE |
160 |
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myNorm = 1. _d 0 |
161 |
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ENDIF |
162 |
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cg3dNorm = myNorm |
163 |
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_BEGIN_MASTER( myThid ) |
164 |
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CcnhDebugStarts |
165 |
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WRITE(msgBuf,'(A,E40.25)') '// CG3D normalisation factor = ' |
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& , cg3dNorm |
167 |
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CALL PRINT_MESSAGE( msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
168 |
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WRITE(msgBuf,*) ' ' |
169 |
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CALL PRINT_MESSAGE( msgBuf,standardMessageUnit,SQUEEZE_RIGHT,1) |
170 |
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CcnhDebugEnds |
171 |
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_END_MASTER( myThid ) |
172 |
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DO bj=myByLo(myThid),myByHi(myThid) |
173 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
174 |
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DO K=1,Nr |
175 |
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DO J=1,sNy |
176 |
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DO I=1,sNx |
177 |
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aW3d(I,J,K,bi,bj) = aW3d(I,J,K,bi,bj)*myNorm |
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aS3d(I,J,K,bi,bj) = aS3d(I,J,K,bi,bj)*myNorm |
179 |
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aV3d(I,J,K,bi,bj) = aV3d(I,J,K,bi,bj)*myNorm |
180 |
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ENDDO |
181 |
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ENDDO |
182 |
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ENDDO |
183 |
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ENDDO |
184 |
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ENDDO |
185 |
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186 |
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C-- Update overlap regions |
187 |
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_EXCH_XYZ_R4(aW3d, myThid) |
188 |
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_EXCH_XYZ_R4(aS3d, myThid) |
189 |
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_EXCH_XYZ_R4(aV3d, myThid) |
190 |
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CcnhDebugStarts |
191 |
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C CALL PLOT_FIELD_XYZRS( aW3d, 'AW3D INI_CG3D.1' , Nr, 1, myThid ) |
192 |
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C CALL PLOT_FIELD_XYZRS( aS3d, 'AS3D INI_CG3D.1' , Nr, 1, myThid ) |
193 |
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CcnhDebugEnds |
194 |
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195 |
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C-- Initialise preconditioner |
196 |
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C For now PC is just the identity. Change to |
197 |
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C be LU factorization of d2/dz2 later. Note |
198 |
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C check for consistency with S/R CG3D before |
199 |
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C assuming zML is lower and zMU is upper! |
200 |
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DO bj=myByLo(myThid),myByHi(myThid) |
201 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
202 |
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DO K=1,Nr |
203 |
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DO J=1,sNy |
204 |
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DO I=1,sNx |
205 |
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aW = aW3d(I ,J,K,bi,bj) |
206 |
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aE = aW3d(I+1,J,K,bi,bj) |
207 |
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aN = aS3d(I,J+1,K,bi,bj) |
208 |
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aS = aS3d(I,J ,K,bi,bj) |
209 |
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IF ( K .NE. 1 ) THEN |
210 |
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aU = aV3d(I,J,K,bi,bj) |
211 |
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ELSE |
212 |
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aU = 0 |
213 |
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ENDIF |
214 |
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IF ( K .NE. Nr ) THEN |
215 |
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aL = aV3d(I,J,K+1,bi,bj) |
216 |
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ELSE |
217 |
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aL = 0 |
218 |
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ENDIF |
219 |
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aC = -aW-aE-aN-aS-aU-aL |
220 |
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IF ( K .EQ. 1 .AND. aC .NE. 0. ) THEN |
221 |
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aC = aC |
222 |
jmc |
1.10 |
& -freeSurfFac*myNorm*(horiVertRatio/gravity)* |
223 |
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& rA(I,J,bi,bj)/deltaTMom/deltaTMom |
224 |
adcroft |
1.1 |
ENDIF |
225 |
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IF ( aC .NE. 0. ) THEN |
226 |
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zMC(i,j,k,bi,bj) = aC |
227 |
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zMU(i,j,k,bi,bj) = aL |
228 |
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zML(i,j,k,bi,bj) = aU |
229 |
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CcnhDebugStarts |
230 |
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C zMC(i,j,k,bi,bj) = 1. |
231 |
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C zMU(i,j,k,bi,bj) = 0. |
232 |
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C zML(i,j,k,bi,bj) = 0. |
233 |
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CcnhDebugEnds |
234 |
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ELSE |
235 |
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zMC(i,j,k,bi,bj) = 1. _d 0 |
236 |
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zMU(i,j,k,bi,bj) = 0. |
237 |
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zML(i,j,k,bi,bj) = 0. |
238 |
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ENDIF |
239 |
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ENDDO |
240 |
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ENDDO |
241 |
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ENDDO |
242 |
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DO J=1,sNy |
243 |
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DO I=1,sNx |
244 |
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zMC(i,j,1,bi,bj)= |
245 |
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& 1. _d 0 / zMC(i,j,1,bi,bj) |
246 |
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zMU(i,j,1,bi,bj)= |
247 |
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& zMU(i,j,1,bi,bj)*zMC(i,j,1,bi,bj) |
248 |
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ENDDO |
249 |
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ENDDO |
250 |
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DO K=2,Nr |
251 |
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DO J=1,sNy |
252 |
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DO I=1,sNx |
253 |
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zMC(i,j,k,bi,bj) = 1. _d 0 / |
254 |
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& (zMC(i,j,k,bi,bj)-zML(i,j,k,bi,bj)*zMU(i,j,k-1,bi,bj)) |
255 |
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zMU(i,j,k,bi,bj)=zMU(i,j,k,bi,bj)*zMC(i,j,k,bi,bj) |
256 |
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ENDDO |
257 |
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ENDDO |
258 |
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ENDDO |
259 |
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DO K=1,Nr |
260 |
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DO J=1,sNy |
261 |
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DO I=1,sNx |
262 |
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aW = aW3d(I ,J,K,bi,bj) |
263 |
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aE = aW3d(I+1,J,K,bi,bj) |
264 |
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aN = aS3d(I,J+1,K,bi,bj) |
265 |
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aS = aS3d(I,J ,K,bi,bj) |
266 |
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IF ( K .NE. 1 ) THEN |
267 |
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aU = aV3d(I,J,K-1,bi,bj) |
268 |
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ELSE |
269 |
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aU = 0 |
270 |
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ENDIF |
271 |
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IF ( K .NE. Nr ) THEN |
272 |
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aL = aV3d(I,J,K+1,bi,bj) |
273 |
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ELSE |
274 |
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aL = 0 |
275 |
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ENDIF |
276 |
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aC = -aW-aE-aN-aS-aU-aL |
277 |
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IF ( aC .EQ. 0. ) THEN |
278 |
adcroft |
1.5 |
zMC(i,j,k,bi,bj) = 1. |
279 |
adcroft |
1.1 |
zML(i,j,k,bi,bj) = 0. |
280 |
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zMU(i,j,k,bi,bj) = 0. |
281 |
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CcnhDebugStarts |
282 |
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C ELSE |
283 |
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C zMC(i,j,k,bi,bj) = 1. |
284 |
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C zML(i,j,k,bi,bj) = 0. |
285 |
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C zMU(i,j,k,bi,bj) = 0. |
286 |
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CcnhDEbugEnds |
287 |
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ENDIF |
288 |
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ENDDO |
289 |
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ENDDO |
290 |
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ENDDO |
291 |
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ENDDO |
292 |
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ENDDO |
293 |
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C-- Update overlap regions |
294 |
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_EXCH_XYZ_R4(zMC, myThid) |
295 |
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_EXCH_XYZ_R4(zML, myThid) |
296 |
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_EXCH_XYZ_R4(zMU, myThid) |
297 |
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298 |
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CcnhDebugStarts |
299 |
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DO k=1,nr |
300 |
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DO j=1-OLy,sNy+OLy |
301 |
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DO i=1-OLx,sNx+OLx |
302 |
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phi(i,j,1,1) = zMc(i,j,k,1,1) |
303 |
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ENDDO |
304 |
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ENDDO |
305 |
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C CALL PLOT_FIELD_XYRS( phi, 'zMC INI_CG3D.1' , 1, myThid ) |
306 |
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ENDDO |
307 |
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C CALL PLOT_FIELD_XYRS( zMU, 'zMU INI_CG3D.1' , Nr, 1, myThid ) |
308 |
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C CALL PLOT_FIELD_XYRS( zML, 'zML INI_CG3D.1' , Nr, 1, myThid ) |
309 |
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CcnhDebugEnds |
310 |
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311 |
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C-- Set default values for initial guess and RHS |
312 |
|
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IF ( startTime .EQ. 0 ) THEN |
313 |
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DO bj=myByLo(myThid),myByHi(myThid) |
314 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
315 |
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DO K=1,Nr |
316 |
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DO J=1-OLy,sNy+OLy |
317 |
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DO I=1-OLx,sNx+OLx |
318 |
|
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cg3d_b(I,J,K,bi,bj) = 0. _d 0 |
319 |
|
|
ENDDO |
320 |
|
|
ENDDO |
321 |
|
|
ENDDO |
322 |
|
|
ENDDO |
323 |
|
|
ENDDO |
324 |
|
|
C-- Update overlap regions |
325 |
|
|
_EXCH_XYZ_R8(cg3d_b, myThid) |
326 |
|
|
ENDIF |
327 |
|
|
|
328 |
|
|
#endif /* ALLOW_NONHYDROSTATIC */ |
329 |
|
|
|
330 |
|
|
RETURN |
331 |
|
|
END |