1 |
jmc |
1.29 |
C $Header: /u/gcmpack/models/MITgcmUV/model/src/cg2d.F,v 1.28 2001/03/06 17:02:57 jmc Exp $ |
2 |
jmc |
1.28 |
C $Name: $ |
3 |
cnh |
1.1 |
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4 |
cnh |
1.16 |
#include "CPP_OPTIONS.h" |
5 |
cnh |
1.1 |
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6 |
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SUBROUTINE CG2D( |
7 |
cnh |
1.14 |
I cg2d_b, |
8 |
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U cg2d_x, |
9 |
cnh |
1.1 |
I myThid ) |
10 |
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C /==========================================================\ |
11 |
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C | SUBROUTINE CG2D | |
12 |
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C | o Two-dimensional grid problem conjugate-gradient | |
13 |
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C | inverter (with preconditioner). | |
14 |
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C |==========================================================| |
15 |
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C | Con. grad is an iterative procedure for solving Ax = b. | |
16 |
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C | It requires the A be symmetric. | |
17 |
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C | This implementation assumes A is a five-diagonal | |
18 |
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C | matrix of the form that arises in the discrete | |
19 |
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C | representation of the del^2 operator in a | |
20 |
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C | two-dimensional space. | |
21 |
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C | Notes: | |
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C | ====== | |
23 |
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C | This implementation can support shared-memory | |
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C | multi-threaded execution. In order to do this COMMON | |
25 |
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C | blocks are used for many of the arrays - even ones that | |
26 |
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C | are only used for intermedaite results. This design is | |
27 |
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C | OK if you want to all the threads to collaborate on | |
28 |
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C | solving the same problem. On the other hand if you want | |
29 |
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C | the threads to solve several different problems | |
30 |
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C | concurrently this implementation will not work. | |
31 |
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C \==========================================================/ |
32 |
adcroft |
1.18 |
IMPLICIT NONE |
33 |
cnh |
1.1 |
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34 |
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C === Global data === |
35 |
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#include "SIZE.h" |
36 |
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#include "EEPARAMS.h" |
37 |
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#include "PARAMS.h" |
38 |
cnh |
1.4 |
#include "GRID.h" |
39 |
cnh |
1.14 |
#include "CG2D_INTERNAL.h" |
40 |
jmc |
1.29 |
#include "SURFACE.h" |
41 |
cnh |
1.1 |
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42 |
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C === Routine arguments === |
43 |
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C myThid - Thread on which I am working. |
44 |
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INTEGER myThid |
45 |
cnh |
1.14 |
_RL cg2d_x(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
46 |
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_RL cg2d_b(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
47 |
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48 |
cnh |
1.1 |
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49 |
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C === Local variables ==== |
50 |
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C actualIts - Number of iterations taken |
51 |
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C actualResidual - residual |
52 |
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C bi - Block index in X and Y. |
53 |
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C bj |
54 |
jmc |
1.28 |
C eta_qrN - Used in computing search directions |
55 |
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C eta_qrNM1 suffix N and NM1 denote current and |
56 |
cnh |
1.1 |
C cgBeta previous iterations respectively. |
57 |
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C alpha |
58 |
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C sumRHS - Sum of right-hand-side. Sometimes this is a |
59 |
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C useful debuggin/trouble shooting diagnostic. |
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C For neumann problems sumRHS needs to be ~0. |
61 |
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C or they converge at a non-zero residual. |
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C err - Measure of residual of Ax - b, usually the norm. |
63 |
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C I, J, N - Loop counters ( N counts CG iterations ) |
64 |
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INTEGER actualIts |
65 |
cnh |
1.14 |
_RL actualResidual |
66 |
cnh |
1.1 |
INTEGER bi, bj |
67 |
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INTEGER I, J, it2d |
68 |
cnh |
1.14 |
_RL err |
69 |
jmc |
1.28 |
_RL eta_qrN |
70 |
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_RL eta_qrNM1 |
71 |
cnh |
1.14 |
_RL cgBeta |
72 |
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_RL alpha |
73 |
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_RL sumRHS |
74 |
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_RL rhsMax |
75 |
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_RL rhsNorm |
76 |
cnh |
1.1 |
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77 |
cnh |
1.13 |
INTEGER OLw |
78 |
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INTEGER OLe |
79 |
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INTEGER OLn |
80 |
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INTEGER OLs |
81 |
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INTEGER exchWidthX |
82 |
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INTEGER exchWidthY |
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INTEGER myNz |
84 |
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85 |
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86 |
cnh |
1.12 |
CcnhDebugStarts |
87 |
adcroft |
1.24 |
C CHARACTER*(MAX_LEN_FNAM) suff |
88 |
cnh |
1.12 |
CcnhDebugEnds |
89 |
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90 |
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91 |
cnh |
1.1 |
C-- Initialise inverter |
92 |
jmc |
1.28 |
eta_qrNM1 = 1. _d 0 |
93 |
cnh |
1.1 |
|
94 |
cnh |
1.10 |
CcnhDebugStarts |
95 |
cnh |
1.11 |
C _EXCH_XY_R8( cg2d_b, myThid ) |
96 |
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C CALL PLOT_FIELD_XYRL( cg2d_b, 'CG2D.0 CG2D_B' , 1, myThid ) |
97 |
cnh |
1.12 |
C suff = 'unnormalised' |
98 |
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C CALL WRITE_FLD_XY_RL ( 'cg2d_b.',suff, cg2d_b, 1, myThid) |
99 |
cnh |
1.14 |
C STOP |
100 |
cnh |
1.10 |
CcnhDebugEnds |
101 |
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102 |
cnh |
1.1 |
C-- Normalise RHS |
103 |
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rhsMax = 0. _d 0 |
104 |
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DO bj=myByLo(myThid),myByHi(myThid) |
105 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
106 |
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DO J=1,sNy |
107 |
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DO I=1,sNx |
108 |
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cg2d_b(I,J,bi,bj) = cg2d_b(I,J,bi,bj)*cg2dNorm |
109 |
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rhsMax = MAX(ABS(cg2d_b(I,J,bi,bj)),rhsMax) |
110 |
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ENDDO |
111 |
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ENDDO |
112 |
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ENDDO |
113 |
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ENDDO |
114 |
adcroft |
1.23 |
#ifdef LETS_MAKE_JAM |
115 |
adcroft |
1.25 |
C _GLOBAL_MAX_R8( rhsMax, myThid ) |
116 |
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rhsMax=1. |
117 |
adcroft |
1.23 |
#else |
118 |
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_GLOBAL_MAX_R8( rhsMax, myThid ) |
119 |
adcroft |
1.26 |
Catm rhsMax=1. |
120 |
adcroft |
1.23 |
#endif |
121 |
cnh |
1.1 |
rhsNorm = 1. _d 0 |
122 |
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IF ( rhsMax .NE. 0. ) rhsNorm = 1. _d 0 / rhsMax |
123 |
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DO bj=myByLo(myThid),myByHi(myThid) |
124 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
125 |
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DO J=1,sNy |
126 |
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DO I=1,sNx |
127 |
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cg2d_b(I,J,bi,bj) = cg2d_b(I,J,bi,bj)*rhsNorm |
128 |
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cg2d_x(I,J,bi,bj) = cg2d_x(I,J,bi,bj)*rhsNorm |
129 |
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ENDDO |
130 |
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ENDDO |
131 |
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ENDDO |
132 |
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ENDDO |
133 |
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134 |
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C-- Update overlaps |
135 |
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_EXCH_XY_R8( cg2d_b, myThid ) |
136 |
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_EXCH_XY_R8( cg2d_x, myThid ) |
137 |
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CcnhDebugStarts |
138 |
cnh |
1.11 |
C CALL PLOT_FIELD_XYRL( cg2d_b, 'CG2D.1 CG2D_B' , 1, myThid ) |
139 |
cnh |
1.12 |
C suff = 'normalised' |
140 |
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C CALL WRITE_FLD_XY_RL ( 'cg2d_b.',suff, cg2d_b, 1, myThid) |
141 |
cnh |
1.1 |
CcnhDebugEnds |
142 |
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143 |
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C-- Initial residual calculation |
144 |
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err = 0. _d 0 |
145 |
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sumRHS = 0. _d 0 |
146 |
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DO bj=myByLo(myThid),myByHi(myThid) |
147 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
148 |
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DO J=1,sNy |
149 |
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DO I=1,sNx |
150 |
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cg2d_s(I,J,bi,bj) = 0. |
151 |
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cg2d_r(I,J,bi,bj) = cg2d_b(I,J,bi,bj) - |
152 |
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& (aW2d(I ,J ,bi,bj)*cg2d_x(I-1,J ,bi,bj) |
153 |
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& +aW2d(I+1,J ,bi,bj)*cg2d_x(I+1,J ,bi,bj) |
154 |
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& +aS2d(I ,J ,bi,bj)*cg2d_x(I ,J-1,bi,bj) |
155 |
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& +aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J+1,bi,bj) |
156 |
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& -aW2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
157 |
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& -aW2d(I+1,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
158 |
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& -aS2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
159 |
cnh |
1.4 |
& -aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J ,bi,bj) |
160 |
jmc |
1.29 |
& -freeSurfFac*_rA(i,j,bi,bj)*recip_Bo(i,j,bi,bj)* |
161 |
cnh |
1.4 |
& cg2d_x(I ,J ,bi,bj)/deltaTMom/deltaTMom*cg2dNorm |
162 |
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& ) |
163 |
cnh |
1.1 |
err = err + |
164 |
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& cg2d_r(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
165 |
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sumRHS = sumRHS + |
166 |
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& cg2d_b(I,J,bi,bj) |
167 |
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ENDDO |
168 |
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ENDDO |
169 |
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ENDDO |
170 |
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ENDDO |
171 |
cnh |
1.13 |
C _EXCH_XY_R8( cg2d_r, myThid ) |
172 |
adcroft |
1.23 |
#ifdef LETS_MAKE_JAM |
173 |
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CALL EXCH_XY_O1_R8_JAM( cg2d_r ) |
174 |
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#else |
175 |
cnh |
1.13 |
OLw = 1 |
176 |
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OLe = 1 |
177 |
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OLn = 1 |
178 |
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OLs = 1 |
179 |
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exchWidthX = 1 |
180 |
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exchWidthY = 1 |
181 |
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myNz = 1 |
182 |
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CALL EXCH_RL( cg2d_r, |
183 |
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I OLw, OLe, OLs, OLn, myNz, |
184 |
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I exchWidthX, exchWidthY, |
185 |
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I FORWARD_SIMULATION, EXCH_IGNORE_CORNERS, myThid ) |
186 |
adcroft |
1.23 |
#endif |
187 |
cnh |
1.13 |
C _EXCH_XY_R8( cg2d_s, myThid ) |
188 |
adcroft |
1.23 |
#ifdef LETS_MAKE_JAM |
189 |
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CALL EXCH_XY_O1_R8_JAM( cg2d_s ) |
190 |
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#else |
191 |
cnh |
1.13 |
OLw = 1 |
192 |
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OLe = 1 |
193 |
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OLn = 1 |
194 |
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OLs = 1 |
195 |
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exchWidthX = 1 |
196 |
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exchWidthY = 1 |
197 |
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myNz = 1 |
198 |
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CALL EXCH_RL( cg2d_s, |
199 |
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I OLw, OLe, OLs, OLn, myNz, |
200 |
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I exchWidthX, exchWidthY, |
201 |
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I FORWARD_SIMULATION, EXCH_IGNORE_CORNERS, myThid ) |
202 |
adcroft |
1.23 |
#endif |
203 |
adcroft |
1.20 |
_GLOBAL_SUM_R8( sumRHS, myThid ) |
204 |
cnh |
1.1 |
C WRITE(6,*) ' mythid, err = ', mythid, SQRT(err) |
205 |
adcroft |
1.20 |
_GLOBAL_SUM_R8( err , myThid ) |
206 |
cnh |
1.13 |
|
207 |
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_BEGIN_MASTER( myThid ) |
208 |
adcroft |
1.19 |
write(0,'(A,1PE30.14)') ' cg2d: Sum(rhs) = ',sumRHS |
209 |
cnh |
1.13 |
_END_MASTER( ) |
210 |
cnh |
1.1 |
|
211 |
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actualIts = 0 |
212 |
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actualResidual = SQRT(err) |
213 |
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C _BARRIER |
214 |
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_BEGIN_MASTER( myThid ) |
215 |
adcroft |
1.17 |
WRITE(0,'(A,I6,1PE30.14)') ' CG2D iters, err = ', |
216 |
cnh |
1.14 |
& actualIts, actualResidual |
217 |
cnh |
1.1 |
_END_MASTER( ) |
218 |
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219 |
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C >>>>>>>>>>>>>>> BEGIN SOLVER <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
220 |
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DO 10 it2d=1, cg2dMaxIters |
221 |
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222 |
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CcnhDebugStarts |
223 |
cnh |
1.14 |
C WRITE(0,*) ' CG2D: Iteration ',it2d-1,' residual = ', |
224 |
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C & actualResidual |
225 |
cnh |
1.1 |
CcnhDebugEnds |
226 |
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IF ( err .LT. cg2dTargetResidual ) GOTO 11 |
227 |
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C-- Solve preconditioning equation and update |
228 |
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C-- conjugate direction vector "s". |
229 |
jmc |
1.28 |
eta_qrN = 0. _d 0 |
230 |
cnh |
1.1 |
DO bj=myByLo(myThid),myByHi(myThid) |
231 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
232 |
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DO J=1,sNy |
233 |
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DO I=1,sNx |
234 |
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cg2d_q(I,J,bi,bj) = |
235 |
cnh |
1.3 |
& pC(I ,J ,bi,bj)*cg2d_r(I ,J ,bi,bj) |
236 |
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& +pW(I ,J ,bi,bj)*cg2d_r(I-1,J ,bi,bj) |
237 |
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& +pW(I+1,J ,bi,bj)*cg2d_r(I+1,J ,bi,bj) |
238 |
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& +pS(I ,J ,bi,bj)*cg2d_r(I ,J-1,bi,bj) |
239 |
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& +pS(I ,J+1,bi,bj)*cg2d_r(I ,J+1,bi,bj) |
240 |
cnh |
1.4 |
CcnhDebugStarts |
241 |
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C cg2d_q(I,J,bi,bj) = cg2d_r(I ,J ,bi,bj) |
242 |
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CcnhDebugEnds |
243 |
jmc |
1.28 |
eta_qrN = eta_qrN |
244 |
cnh |
1.1 |
& +cg2d_q(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
245 |
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ENDDO |
246 |
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ENDDO |
247 |
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ENDDO |
248 |
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ENDDO |
249 |
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250 |
jmc |
1.28 |
_GLOBAL_SUM_R8(eta_qrN, myThid) |
251 |
cnh |
1.1 |
CcnhDebugStarts |
252 |
jmc |
1.28 |
C WRITE(0,*) ' CG2D: Iteration ',it2d-1,' eta_qrN = ',eta_qrN |
253 |
cnh |
1.1 |
CcnhDebugEnds |
254 |
jmc |
1.28 |
cgBeta = eta_qrN/eta_qrNM1 |
255 |
cnh |
1.1 |
CcnhDebugStarts |
256 |
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C WRITE(0,*) ' CG2D: Iteration ',it2d-1,' beta = ',cgBeta |
257 |
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CcnhDebugEnds |
258 |
jmc |
1.28 |
eta_qrNM1 = eta_qrN |
259 |
cnh |
1.1 |
|
260 |
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DO bj=myByLo(myThid),myByHi(myThid) |
261 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
262 |
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DO J=1,sNy |
263 |
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DO I=1,sNx |
264 |
cnh |
1.14 |
cg2d_s(I,J,bi,bj) = cg2d_q(I,J,bi,bj) |
265 |
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& + cgBeta*cg2d_s(I,J,bi,bj) |
266 |
cnh |
1.1 |
ENDDO |
267 |
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ENDDO |
268 |
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ENDDO |
269 |
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ENDDO |
270 |
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271 |
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C-- Do exchanges that require messages i.e. between |
272 |
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C-- processes. |
273 |
cnh |
1.13 |
C _EXCH_XY_R8( cg2d_s, myThid ) |
274 |
adcroft |
1.23 |
#ifdef LETS_MAKE_JAM |
275 |
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CALL EXCH_XY_O1_R8_JAM( cg2d_s ) |
276 |
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#else |
277 |
cnh |
1.13 |
OLw = 1 |
278 |
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OLe = 1 |
279 |
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OLn = 1 |
280 |
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OLs = 1 |
281 |
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exchWidthX = 1 |
282 |
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exchWidthY = 1 |
283 |
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myNz = 1 |
284 |
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CALL EXCH_RL( cg2d_s, |
285 |
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I OLw, OLe, OLs, OLn, myNz, |
286 |
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I exchWidthX, exchWidthY, |
287 |
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I FORWARD_SIMULATION, EXCH_IGNORE_CORNERS, myThid ) |
288 |
adcroft |
1.23 |
#endif |
289 |
cnh |
1.1 |
|
290 |
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C== Evaluate laplace operator on conjugate gradient vector |
291 |
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C== q = A.s |
292 |
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alpha = 0. _d 0 |
293 |
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DO bj=myByLo(myThid),myByHi(myThid) |
294 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
295 |
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DO J=1,sNy |
296 |
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DO I=1,sNx |
297 |
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cg2d_q(I,J,bi,bj) = |
298 |
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& aW2d(I ,J ,bi,bj)*cg2d_s(I-1,J ,bi,bj) |
299 |
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& +aW2d(I+1,J ,bi,bj)*cg2d_s(I+1,J ,bi,bj) |
300 |
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& +aS2d(I ,J ,bi,bj)*cg2d_s(I ,J-1,bi,bj) |
301 |
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& +aS2d(I ,J+1,bi,bj)*cg2d_s(I ,J+1,bi,bj) |
302 |
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& -aW2d(I ,J ,bi,bj)*cg2d_s(I ,J ,bi,bj) |
303 |
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& -aW2d(I+1,J ,bi,bj)*cg2d_s(I ,J ,bi,bj) |
304 |
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& -aS2d(I ,J ,bi,bj)*cg2d_s(I ,J ,bi,bj) |
305 |
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& -aS2d(I ,J+1,bi,bj)*cg2d_s(I ,J ,bi,bj) |
306 |
jmc |
1.29 |
& -freeSurfFac*_rA(i,j,bi,bj)*recip_Bo(i,j,bi,bj)* |
307 |
cnh |
1.4 |
& cg2d_s(I ,J ,bi,bj)/deltaTMom/deltaTMom*cg2dNorm |
308 |
cnh |
1.1 |
alpha = alpha+cg2d_s(I,J,bi,bj)*cg2d_q(I,J,bi,bj) |
309 |
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ENDDO |
310 |
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ENDDO |
311 |
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ENDDO |
312 |
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ENDDO |
313 |
adcroft |
1.20 |
_GLOBAL_SUM_R8(alpha,myThid) |
314 |
cnh |
1.1 |
CcnhDebugStarts |
315 |
|
|
C WRITE(0,*) ' CG2D: Iteration ',it2d-1,' SUM(s*q)= ',alpha |
316 |
|
|
CcnhDebugEnds |
317 |
jmc |
1.28 |
alpha = eta_qrN/alpha |
318 |
cnh |
1.1 |
CcnhDebugStarts |
319 |
|
|
C WRITE(0,*) ' CG2D: Iteration ',it2d-1,' alpha= ',alpha |
320 |
|
|
CcnhDebugEnds |
321 |
|
|
|
322 |
|
|
C== Update solution and residual vectors |
323 |
|
|
C Now compute "interior" points. |
324 |
|
|
err = 0. _d 0 |
325 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
326 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
327 |
|
|
DO J=1,sNy |
328 |
|
|
DO I=1,sNx |
329 |
|
|
cg2d_x(I,J,bi,bj)=cg2d_x(I,J,bi,bj)+alpha*cg2d_s(I,J,bi,bj) |
330 |
|
|
cg2d_r(I,J,bi,bj)=cg2d_r(I,J,bi,bj)-alpha*cg2d_q(I,J,bi,bj) |
331 |
|
|
err = err+cg2d_r(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
332 |
|
|
ENDDO |
333 |
|
|
ENDDO |
334 |
|
|
ENDDO |
335 |
|
|
ENDDO |
336 |
|
|
|
337 |
adcroft |
1.20 |
_GLOBAL_SUM_R8( err , myThid ) |
338 |
cnh |
1.1 |
err = SQRT(err) |
339 |
|
|
actualIts = it2d |
340 |
|
|
actualResidual = err |
341 |
|
|
IF ( err .LT. cg2dTargetResidual ) GOTO 11 |
342 |
cnh |
1.13 |
C _EXCH_XY_R8(cg2d_r, myThid ) |
343 |
adcroft |
1.23 |
#ifdef LETS_MAKE_JAM |
344 |
|
|
CALL EXCH_XY_O1_R8_JAM( cg2d_r ) |
345 |
|
|
#else |
346 |
cnh |
1.13 |
OLw = 1 |
347 |
|
|
OLe = 1 |
348 |
|
|
OLn = 1 |
349 |
|
|
OLs = 1 |
350 |
|
|
exchWidthX = 1 |
351 |
|
|
exchWidthY = 1 |
352 |
|
|
myNz = 1 |
353 |
|
|
CALL EXCH_RL( cg2d_r, |
354 |
|
|
I OLw, OLe, OLs, OLn, myNz, |
355 |
|
|
I exchWidthX, exchWidthY, |
356 |
|
|
I FORWARD_SIMULATION, EXCH_IGNORE_CORNERS, myThid ) |
357 |
adcroft |
1.23 |
#endif |
358 |
cnh |
1.13 |
|
359 |
cnh |
1.1 |
10 CONTINUE |
360 |
|
|
11 CONTINUE |
361 |
|
|
|
362 |
|
|
C-- Un-normalise the answer |
363 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
364 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
365 |
|
|
DO J=1,sNy |
366 |
|
|
DO I=1,sNx |
367 |
|
|
cg2d_x(I ,J ,bi,bj) = cg2d_x(I ,J ,bi,bj)/rhsNorm |
368 |
|
|
ENDDO |
369 |
|
|
ENDDO |
370 |
|
|
ENDDO |
371 |
|
|
ENDDO |
372 |
|
|
|
373 |
adcroft |
1.22 |
C The following exchange was moved up to solve_for_pressure |
374 |
|
|
C for compatibility with TAMC. |
375 |
|
|
C _EXCH_XY_R8(cg2d_x, myThid ) |
376 |
cnh |
1.6 |
_BEGIN_MASTER( myThid ) |
377 |
adcroft |
1.17 |
WRITE(0,'(A,I6,1PE30.14)') ' CG2D iters, err = ', |
378 |
cnh |
1.14 |
& actualIts, actualResidual |
379 |
cnh |
1.6 |
_END_MASTER( ) |
380 |
cnh |
1.1 |
|
381 |
|
|
CcnhDebugStarts |
382 |
cnh |
1.7 |
C CALL PLOT_FIELD_XYRL( cg2d_x, 'CALC_MOM_RHS CG2D_X' , 1, myThid ) |
383 |
cnh |
1.1 |
C err = 0. _d 0 |
384 |
|
|
C DO bj=myByLo(myThid),myByHi(myThid) |
385 |
|
|
C DO bi=myBxLo(myThid),myBxHi(myThid) |
386 |
|
|
C DO J=1,sNy |
387 |
|
|
C DO I=1,sNx |
388 |
|
|
C cg2d_r(I,J,bi,bj) = cg2d_b(I,J,bi,bj) - |
389 |
|
|
C & (aW2d(I ,J ,bi,bj)*cg2d_x(I-1,J ,bi,bj) |
390 |
|
|
C & +aW2d(I+1,J ,bi,bj)*cg2d_x(I+1,J ,bi,bj) |
391 |
|
|
C & +aS2d(I ,J ,bi,bj)*cg2d_x(I ,J-1,bi,bj) |
392 |
|
|
C & +aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J+1,bi,bj) |
393 |
|
|
C & -aW2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
394 |
|
|
C & -aW2d(I+1,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
395 |
|
|
C & -aS2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
396 |
|
|
C & -aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J ,bi,bj)) |
397 |
|
|
C err = err + |
398 |
|
|
C & cg2d_r(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
399 |
|
|
C ENDDO |
400 |
|
|
C ENDDO |
401 |
|
|
C ENDDO |
402 |
|
|
C ENDDO |
403 |
adcroft |
1.20 |
C _GLOBAL_SUM_R8( err , myThid ) |
404 |
cnh |
1.1 |
C write(0,*) 'cg2d: Ax - b = ',SQRT(err) |
405 |
|
|
CcnhDebugEnds |
406 |
|
|
|
407 |
adcroft |
1.19 |
RETURN |
408 |
cnh |
1.1 |
END |