1 |
heimbach |
1.35 |
C $Header: /u/gcmpack/MITgcm/model/src/cg2d.F,v 1.34 2001/09/26 18:09:14 cnh Exp $ |
2 |
adcroft |
1.33 |
C $Name: $ |
3 |
cnh |
1.1 |
|
4 |
cnh |
1.16 |
#include "CPP_OPTIONS.h" |
5 |
cnh |
1.1 |
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6 |
cnh |
1.34 |
CBOP |
7 |
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C !ROUTINE: CG2D |
8 |
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C !INTERFACE: |
9 |
cnh |
1.1 |
SUBROUTINE CG2D( |
10 |
cnh |
1.14 |
I cg2d_b, |
11 |
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U cg2d_x, |
12 |
adcroft |
1.33 |
O firstResidual, |
13 |
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O lastResidual, |
14 |
adcroft |
1.30 |
U numIters, |
15 |
cnh |
1.1 |
I myThid ) |
16 |
cnh |
1.34 |
C !DESCRIPTION: \bv |
17 |
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C *==========================================================* |
18 |
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C | SUBROUTINE CG2D |
19 |
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C | o Two-dimensional grid problem conjugate-gradient |
20 |
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C | inverter (with preconditioner). |
21 |
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C *==========================================================* |
22 |
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C | Con. grad is an iterative procedure for solving Ax = b. |
23 |
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C | It requires the A be symmetric. |
24 |
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C | This implementation assumes A is a five-diagonal |
25 |
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C | matrix of the form that arises in the discrete |
26 |
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C | representation of the del^2 operator in a |
27 |
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C | two-dimensional space. |
28 |
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C | Notes: |
29 |
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C | ====== |
30 |
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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 |
32 |
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C | blocks are used for many of the arrays - even ones that |
33 |
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C | are only used for intermedaite results. This design is |
34 |
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C | OK if you want to all the threads to collaborate on |
35 |
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C | solving the same problem. On the other hand if you want |
36 |
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C | the threads to solve several different problems |
37 |
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C | concurrently this implementation will not work. |
38 |
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C *==========================================================* |
39 |
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C \ev |
40 |
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41 |
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C !USES: |
42 |
adcroft |
1.18 |
IMPLICIT NONE |
43 |
cnh |
1.1 |
C === Global data === |
44 |
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#include "SIZE.h" |
45 |
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#include "EEPARAMS.h" |
46 |
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#include "PARAMS.h" |
47 |
cnh |
1.4 |
#include "GRID.h" |
48 |
adcroft |
1.33 |
#include "CG2D.h" |
49 |
jmc |
1.29 |
#include "SURFACE.h" |
50 |
cnh |
1.1 |
|
51 |
cnh |
1.34 |
C !INPUT/OUTPUT PARAMETERS: |
52 |
cnh |
1.1 |
C === Routine arguments === |
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adcroft |
1.30 |
C myThid - Thread on which I am working. |
54 |
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C cg2d_b - The source term or "right hand side" |
55 |
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C cg2d_x - The solution |
56 |
adcroft |
1.33 |
C firstResidual - the initial residual before any iterations |
57 |
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C lastResidual - the actual residual reached |
58 |
adcroft |
1.30 |
C numIters - Entry: the maximum number of iterations allowed |
59 |
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C Exit: the actual number of iterations used |
60 |
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_RL cg2d_b(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
61 |
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_RL cg2d_x(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
62 |
adcroft |
1.33 |
_RL firstResidual |
63 |
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_RL lastResidual |
64 |
adcroft |
1.30 |
INTEGER numIters |
65 |
cnh |
1.1 |
INTEGER myThid |
66 |
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67 |
cnh |
1.34 |
C !LOCAL VARIABLES: |
68 |
cnh |
1.1 |
C === Local variables ==== |
69 |
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C actualIts - Number of iterations taken |
70 |
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C actualResidual - residual |
71 |
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C bi - Block index in X and Y. |
72 |
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C bj |
73 |
jmc |
1.28 |
C eta_qrN - Used in computing search directions |
74 |
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C eta_qrNM1 suffix N and NM1 denote current and |
75 |
cnh |
1.1 |
C cgBeta previous iterations respectively. |
76 |
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C alpha |
77 |
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C sumRHS - Sum of right-hand-side. Sometimes this is a |
78 |
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C useful debuggin/trouble shooting diagnostic. |
79 |
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C For neumann problems sumRHS needs to be ~0. |
80 |
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C or they converge at a non-zero residual. |
81 |
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C err - Measure of residual of Ax - b, usually the norm. |
82 |
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C I, J, N - Loop counters ( N counts CG iterations ) |
83 |
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INTEGER actualIts |
84 |
adcroft |
1.33 |
_RL actualResidual |
85 |
cnh |
1.1 |
INTEGER bi, bj |
86 |
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INTEGER I, J, it2d |
87 |
cnh |
1.14 |
_RL err |
88 |
jmc |
1.28 |
_RL eta_qrN |
89 |
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_RL eta_qrNM1 |
90 |
cnh |
1.14 |
_RL cgBeta |
91 |
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_RL alpha |
92 |
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_RL sumRHS |
93 |
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_RL rhsMax |
94 |
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_RL rhsNorm |
95 |
cnh |
1.1 |
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96 |
cnh |
1.13 |
INTEGER OLw |
97 |
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INTEGER OLe |
98 |
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INTEGER OLn |
99 |
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INTEGER OLs |
100 |
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INTEGER exchWidthX |
101 |
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INTEGER exchWidthY |
102 |
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INTEGER myNz |
103 |
cnh |
1.34 |
CEOP |
104 |
cnh |
1.13 |
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105 |
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106 |
cnh |
1.12 |
CcnhDebugStarts |
107 |
adcroft |
1.24 |
C CHARACTER*(MAX_LEN_FNAM) suff |
108 |
cnh |
1.12 |
CcnhDebugEnds |
109 |
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110 |
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111 |
cnh |
1.1 |
C-- Initialise inverter |
112 |
jmc |
1.28 |
eta_qrNM1 = 1. _d 0 |
113 |
cnh |
1.1 |
|
114 |
cnh |
1.10 |
CcnhDebugStarts |
115 |
cnh |
1.11 |
C _EXCH_XY_R8( cg2d_b, myThid ) |
116 |
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C CALL PLOT_FIELD_XYRL( cg2d_b, 'CG2D.0 CG2D_B' , 1, myThid ) |
117 |
cnh |
1.12 |
C suff = 'unnormalised' |
118 |
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C CALL WRITE_FLD_XY_RL ( 'cg2d_b.',suff, cg2d_b, 1, myThid) |
119 |
cnh |
1.14 |
C STOP |
120 |
cnh |
1.10 |
CcnhDebugEnds |
121 |
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122 |
cnh |
1.1 |
C-- Normalise RHS |
123 |
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rhsMax = 0. _d 0 |
124 |
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DO bj=myByLo(myThid),myByHi(myThid) |
125 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
126 |
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DO J=1,sNy |
127 |
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DO I=1,sNx |
128 |
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cg2d_b(I,J,bi,bj) = cg2d_b(I,J,bi,bj)*cg2dNorm |
129 |
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rhsMax = MAX(ABS(cg2d_b(I,J,bi,bj)),rhsMax) |
130 |
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ENDDO |
131 |
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ENDDO |
132 |
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ENDDO |
133 |
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ENDDO |
134 |
adcroft |
1.33 |
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135 |
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IF (cg2dNormaliseRHS) THEN |
136 |
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C- Normalise RHS : |
137 |
adcroft |
1.23 |
#ifdef LETS_MAKE_JAM |
138 |
adcroft |
1.25 |
C _GLOBAL_MAX_R8( rhsMax, myThid ) |
139 |
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rhsMax=1. |
140 |
adcroft |
1.23 |
#else |
141 |
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_GLOBAL_MAX_R8( rhsMax, myThid ) |
142 |
adcroft |
1.26 |
Catm rhsMax=1. |
143 |
adcroft |
1.23 |
#endif |
144 |
cnh |
1.1 |
rhsNorm = 1. _d 0 |
145 |
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IF ( rhsMax .NE. 0. ) rhsNorm = 1. _d 0 / rhsMax |
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_b(I,J,bi,bj) = cg2d_b(I,J,bi,bj)*rhsNorm |
151 |
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cg2d_x(I,J,bi,bj) = cg2d_x(I,J,bi,bj)*rhsNorm |
152 |
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ENDDO |
153 |
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ENDDO |
154 |
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ENDDO |
155 |
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ENDDO |
156 |
adcroft |
1.33 |
C- end Normalise RHS |
157 |
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ENDIF |
158 |
cnh |
1.1 |
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159 |
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C-- Update overlaps |
160 |
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_EXCH_XY_R8( cg2d_b, myThid ) |
161 |
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_EXCH_XY_R8( cg2d_x, myThid ) |
162 |
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CcnhDebugStarts |
163 |
cnh |
1.11 |
C CALL PLOT_FIELD_XYRL( cg2d_b, 'CG2D.1 CG2D_B' , 1, myThid ) |
164 |
cnh |
1.12 |
C suff = 'normalised' |
165 |
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C CALL WRITE_FLD_XY_RL ( 'cg2d_b.',suff, cg2d_b, 1, myThid) |
166 |
cnh |
1.1 |
CcnhDebugEnds |
167 |
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168 |
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C-- Initial residual calculation |
169 |
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err = 0. _d 0 |
170 |
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sumRHS = 0. _d 0 |
171 |
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DO bj=myByLo(myThid),myByHi(myThid) |
172 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
173 |
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DO J=1,sNy |
174 |
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DO I=1,sNx |
175 |
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cg2d_s(I,J,bi,bj) = 0. |
176 |
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cg2d_r(I,J,bi,bj) = cg2d_b(I,J,bi,bj) - |
177 |
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& (aW2d(I ,J ,bi,bj)*cg2d_x(I-1,J ,bi,bj) |
178 |
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& +aW2d(I+1,J ,bi,bj)*cg2d_x(I+1,J ,bi,bj) |
179 |
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& +aS2d(I ,J ,bi,bj)*cg2d_x(I ,J-1,bi,bj) |
180 |
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& +aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J+1,bi,bj) |
181 |
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& -aW2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
182 |
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& -aW2d(I+1,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
183 |
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& -aS2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
184 |
cnh |
1.4 |
& -aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J ,bi,bj) |
185 |
jmc |
1.29 |
& -freeSurfFac*_rA(i,j,bi,bj)*recip_Bo(i,j,bi,bj)* |
186 |
cnh |
1.4 |
& cg2d_x(I ,J ,bi,bj)/deltaTMom/deltaTMom*cg2dNorm |
187 |
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& ) |
188 |
cnh |
1.1 |
err = err + |
189 |
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& cg2d_r(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
190 |
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sumRHS = sumRHS + |
191 |
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& cg2d_b(I,J,bi,bj) |
192 |
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ENDDO |
193 |
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ENDDO |
194 |
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ENDDO |
195 |
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ENDDO |
196 |
cnh |
1.13 |
C _EXCH_XY_R8( cg2d_r, myThid ) |
197 |
adcroft |
1.23 |
#ifdef LETS_MAKE_JAM |
198 |
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CALL EXCH_XY_O1_R8_JAM( cg2d_r ) |
199 |
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#else |
200 |
heimbach |
1.35 |
CALL EXCH_XY_RL( cg2d_r, myThid ) |
201 |
adcroft |
1.23 |
#endif |
202 |
cnh |
1.13 |
C _EXCH_XY_R8( cg2d_s, myThid ) |
203 |
adcroft |
1.23 |
#ifdef LETS_MAKE_JAM |
204 |
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CALL EXCH_XY_O1_R8_JAM( cg2d_s ) |
205 |
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#else |
206 |
heimbach |
1.35 |
CALL EXCH_XY_RL( cg2d_s, myThid ) |
207 |
adcroft |
1.23 |
#endif |
208 |
adcroft |
1.33 |
_GLOBAL_SUM_R8( sumRHS, myThid ) |
209 |
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_GLOBAL_SUM_R8( err , myThid ) |
210 |
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err = SQRT(err) |
211 |
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actualIts = 0 |
212 |
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actualResidual = err |
213 |
cnh |
1.13 |
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214 |
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_BEGIN_MASTER( myThid ) |
215 |
adcroft |
1.33 |
write(*,'(A,1P2E22.14)')' cg2d: Sum(rhs),rhsMax = ', |
216 |
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& sumRHS,rhsMax |
217 |
cnh |
1.13 |
_END_MASTER( ) |
218 |
cnh |
1.1 |
C _BARRIER |
219 |
adcroft |
1.30 |
c _BEGIN_MASTER( myThid ) |
220 |
heimbach |
1.31 |
c WRITE(*,'(A,I6,1PE30.14)') ' CG2D iters, err = ', |
221 |
adcroft |
1.30 |
c & actualIts, actualResidual |
222 |
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c _END_MASTER( ) |
223 |
adcroft |
1.33 |
firstResidual=actualResidual |
224 |
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225 |
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IF ( err .LT. cg2dTolerance ) GOTO 11 |
226 |
cnh |
1.1 |
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227 |
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C >>>>>>>>>>>>>>> BEGIN SOLVER <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
228 |
adcroft |
1.30 |
DO 10 it2d=1, numIters |
229 |
cnh |
1.1 |
|
230 |
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CcnhDebugStarts |
231 |
heimbach |
1.31 |
C WRITE(*,*) ' CG2D: Iteration ',it2d-1,' residual = ', |
232 |
cnh |
1.14 |
C & actualResidual |
233 |
cnh |
1.1 |
CcnhDebugEnds |
234 |
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C-- Solve preconditioning equation and update |
235 |
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C-- conjugate direction vector "s". |
236 |
jmc |
1.28 |
eta_qrN = 0. _d 0 |
237 |
cnh |
1.1 |
DO bj=myByLo(myThid),myByHi(myThid) |
238 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
239 |
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DO J=1,sNy |
240 |
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DO I=1,sNx |
241 |
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cg2d_q(I,J,bi,bj) = |
242 |
cnh |
1.3 |
& pC(I ,J ,bi,bj)*cg2d_r(I ,J ,bi,bj) |
243 |
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& +pW(I ,J ,bi,bj)*cg2d_r(I-1,J ,bi,bj) |
244 |
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& +pW(I+1,J ,bi,bj)*cg2d_r(I+1,J ,bi,bj) |
245 |
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& +pS(I ,J ,bi,bj)*cg2d_r(I ,J-1,bi,bj) |
246 |
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& +pS(I ,J+1,bi,bj)*cg2d_r(I ,J+1,bi,bj) |
247 |
cnh |
1.4 |
CcnhDebugStarts |
248 |
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C cg2d_q(I,J,bi,bj) = cg2d_r(I ,J ,bi,bj) |
249 |
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CcnhDebugEnds |
250 |
jmc |
1.28 |
eta_qrN = eta_qrN |
251 |
cnh |
1.1 |
& +cg2d_q(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
252 |
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ENDDO |
253 |
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ENDDO |
254 |
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ENDDO |
255 |
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ENDDO |
256 |
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257 |
jmc |
1.28 |
_GLOBAL_SUM_R8(eta_qrN, myThid) |
258 |
cnh |
1.1 |
CcnhDebugStarts |
259 |
heimbach |
1.31 |
C WRITE(*,*) ' CG2D: Iteration ',it2d-1,' eta_qrN = ',eta_qrN |
260 |
cnh |
1.1 |
CcnhDebugEnds |
261 |
jmc |
1.28 |
cgBeta = eta_qrN/eta_qrNM1 |
262 |
cnh |
1.1 |
CcnhDebugStarts |
263 |
heimbach |
1.31 |
C WRITE(*,*) ' CG2D: Iteration ',it2d-1,' beta = ',cgBeta |
264 |
cnh |
1.1 |
CcnhDebugEnds |
265 |
jmc |
1.28 |
eta_qrNM1 = eta_qrN |
266 |
cnh |
1.1 |
|
267 |
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DO bj=myByLo(myThid),myByHi(myThid) |
268 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
269 |
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DO J=1,sNy |
270 |
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DO I=1,sNx |
271 |
cnh |
1.14 |
cg2d_s(I,J,bi,bj) = cg2d_q(I,J,bi,bj) |
272 |
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& + cgBeta*cg2d_s(I,J,bi,bj) |
273 |
cnh |
1.1 |
ENDDO |
274 |
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ENDDO |
275 |
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ENDDO |
276 |
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ENDDO |
277 |
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278 |
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C-- Do exchanges that require messages i.e. between |
279 |
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C-- processes. |
280 |
cnh |
1.13 |
C _EXCH_XY_R8( cg2d_s, myThid ) |
281 |
adcroft |
1.23 |
#ifdef LETS_MAKE_JAM |
282 |
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CALL EXCH_XY_O1_R8_JAM( cg2d_s ) |
283 |
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#else |
284 |
heimbach |
1.35 |
CALL EXCH_XY_RL( cg2d_s, myThid ) |
285 |
adcroft |
1.23 |
#endif |
286 |
cnh |
1.1 |
|
287 |
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C== Evaluate laplace operator on conjugate gradient vector |
288 |
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C== q = A.s |
289 |
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alpha = 0. _d 0 |
290 |
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DO bj=myByLo(myThid),myByHi(myThid) |
291 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
292 |
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DO J=1,sNy |
293 |
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DO I=1,sNx |
294 |
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cg2d_q(I,J,bi,bj) = |
295 |
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& aW2d(I ,J ,bi,bj)*cg2d_s(I-1,J ,bi,bj) |
296 |
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& +aW2d(I+1,J ,bi,bj)*cg2d_s(I+1,J ,bi,bj) |
297 |
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& +aS2d(I ,J ,bi,bj)*cg2d_s(I ,J-1,bi,bj) |
298 |
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& +aS2d(I ,J+1,bi,bj)*cg2d_s(I ,J+1,bi,bj) |
299 |
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& -aW2d(I ,J ,bi,bj)*cg2d_s(I ,J ,bi,bj) |
300 |
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& -aW2d(I+1,J ,bi,bj)*cg2d_s(I ,J ,bi,bj) |
301 |
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& -aS2d(I ,J ,bi,bj)*cg2d_s(I ,J ,bi,bj) |
302 |
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& -aS2d(I ,J+1,bi,bj)*cg2d_s(I ,J ,bi,bj) |
303 |
jmc |
1.29 |
& -freeSurfFac*_rA(i,j,bi,bj)*recip_Bo(i,j,bi,bj)* |
304 |
cnh |
1.4 |
& cg2d_s(I ,J ,bi,bj)/deltaTMom/deltaTMom*cg2dNorm |
305 |
cnh |
1.1 |
alpha = alpha+cg2d_s(I,J,bi,bj)*cg2d_q(I,J,bi,bj) |
306 |
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ENDDO |
307 |
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ENDDO |
308 |
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ENDDO |
309 |
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|
ENDDO |
310 |
adcroft |
1.20 |
_GLOBAL_SUM_R8(alpha,myThid) |
311 |
cnh |
1.1 |
CcnhDebugStarts |
312 |
heimbach |
1.31 |
C WRITE(*,*) ' CG2D: Iteration ',it2d-1,' SUM(s*q)= ',alpha |
313 |
cnh |
1.1 |
CcnhDebugEnds |
314 |
jmc |
1.28 |
alpha = eta_qrN/alpha |
315 |
cnh |
1.1 |
CcnhDebugStarts |
316 |
heimbach |
1.31 |
C WRITE(*,*) ' CG2D: Iteration ',it2d-1,' alpha= ',alpha |
317 |
cnh |
1.1 |
CcnhDebugEnds |
318 |
|
|
|
319 |
|
|
C== Update solution and residual vectors |
320 |
|
|
C Now compute "interior" points. |
321 |
|
|
err = 0. _d 0 |
322 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
323 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
324 |
|
|
DO J=1,sNy |
325 |
|
|
DO I=1,sNx |
326 |
|
|
cg2d_x(I,J,bi,bj)=cg2d_x(I,J,bi,bj)+alpha*cg2d_s(I,J,bi,bj) |
327 |
|
|
cg2d_r(I,J,bi,bj)=cg2d_r(I,J,bi,bj)-alpha*cg2d_q(I,J,bi,bj) |
328 |
|
|
err = err+cg2d_r(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
329 |
|
|
ENDDO |
330 |
|
|
ENDDO |
331 |
|
|
ENDDO |
332 |
|
|
ENDDO |
333 |
|
|
|
334 |
adcroft |
1.20 |
_GLOBAL_SUM_R8( err , myThid ) |
335 |
cnh |
1.1 |
err = SQRT(err) |
336 |
|
|
actualIts = it2d |
337 |
|
|
actualResidual = err |
338 |
adcroft |
1.33 |
IF ( err .LT. cg2dTolerance ) GOTO 11 |
339 |
cnh |
1.13 |
C _EXCH_XY_R8(cg2d_r, myThid ) |
340 |
adcroft |
1.23 |
#ifdef LETS_MAKE_JAM |
341 |
|
|
CALL EXCH_XY_O1_R8_JAM( cg2d_r ) |
342 |
|
|
#else |
343 |
heimbach |
1.35 |
CALL EXCH_XY_RL( cg2d_r, myThid ) |
344 |
adcroft |
1.23 |
#endif |
345 |
cnh |
1.13 |
|
346 |
cnh |
1.1 |
10 CONTINUE |
347 |
|
|
11 CONTINUE |
348 |
|
|
|
349 |
adcroft |
1.33 |
IF (cg2dNormaliseRHS) THEN |
350 |
cnh |
1.1 |
C-- Un-normalise the answer |
351 |
adcroft |
1.33 |
DO bj=myByLo(myThid),myByHi(myThid) |
352 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
353 |
|
|
DO J=1,sNy |
354 |
|
|
DO I=1,sNx |
355 |
|
|
cg2d_x(I ,J ,bi,bj) = cg2d_x(I ,J ,bi,bj)/rhsNorm |
356 |
|
|
ENDDO |
357 |
|
|
ENDDO |
358 |
cnh |
1.1 |
ENDDO |
359 |
|
|
ENDDO |
360 |
adcroft |
1.33 |
ENDIF |
361 |
cnh |
1.1 |
|
362 |
adcroft |
1.22 |
C The following exchange was moved up to solve_for_pressure |
363 |
|
|
C for compatibility with TAMC. |
364 |
|
|
C _EXCH_XY_R8(cg2d_x, myThid ) |
365 |
adcroft |
1.30 |
c _BEGIN_MASTER( myThid ) |
366 |
heimbach |
1.31 |
c WRITE(*,'(A,I6,1PE30.14)') ' CG2D iters, err = ', |
367 |
adcroft |
1.30 |
c & actualIts, actualResidual |
368 |
|
|
c _END_MASTER( ) |
369 |
|
|
|
370 |
|
|
C-- Return parameters to caller |
371 |
adcroft |
1.33 |
lastResidual=actualResidual |
372 |
adcroft |
1.30 |
numIters=actualIts |
373 |
cnh |
1.1 |
|
374 |
|
|
CcnhDebugStarts |
375 |
cnh |
1.7 |
C CALL PLOT_FIELD_XYRL( cg2d_x, 'CALC_MOM_RHS CG2D_X' , 1, myThid ) |
376 |
cnh |
1.1 |
C err = 0. _d 0 |
377 |
|
|
C DO bj=myByLo(myThid),myByHi(myThid) |
378 |
|
|
C DO bi=myBxLo(myThid),myBxHi(myThid) |
379 |
|
|
C DO J=1,sNy |
380 |
|
|
C DO I=1,sNx |
381 |
|
|
C cg2d_r(I,J,bi,bj) = cg2d_b(I,J,bi,bj) - |
382 |
|
|
C & (aW2d(I ,J ,bi,bj)*cg2d_x(I-1,J ,bi,bj) |
383 |
|
|
C & +aW2d(I+1,J ,bi,bj)*cg2d_x(I+1,J ,bi,bj) |
384 |
|
|
C & +aS2d(I ,J ,bi,bj)*cg2d_x(I ,J-1,bi,bj) |
385 |
|
|
C & +aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J+1,bi,bj) |
386 |
|
|
C & -aW2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
387 |
|
|
C & -aW2d(I+1,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
388 |
|
|
C & -aS2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
389 |
|
|
C & -aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J ,bi,bj)) |
390 |
|
|
C err = err + |
391 |
|
|
C & cg2d_r(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
392 |
|
|
C ENDDO |
393 |
|
|
C ENDDO |
394 |
|
|
C ENDDO |
395 |
|
|
C ENDDO |
396 |
adcroft |
1.20 |
C _GLOBAL_SUM_R8( err , myThid ) |
397 |
heimbach |
1.31 |
C write(*,*) 'cg2d: Ax - b = ',SQRT(err) |
398 |
cnh |
1.1 |
CcnhDebugEnds |
399 |
|
|
|
400 |
adcroft |
1.19 |
RETURN |
401 |
cnh |
1.1 |
END |