1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
|
*DECK NSSCO
SUBROUTINE NSSCO(NX,NY,NZ,NMIX,I,J,K,MAT,XX,YY,ZZ,DIFF,IQFR,QFR,
1 COEF)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Compute the mesh centered finite difference coefficients.
*
*Copyright:
* Copyright (C) 2023 Ecole Polytechnique de Montreal
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version
*
*Author(s): A. Hebert
*
*Parameters: input
* NX number of X-directed nodes.
* NY number of Y-directed nodes.
* NZ number of Z-directed nodes.
* NMIX number of material mixtures.
* I X-index of node under consideration.
* J Y-index of node under consideration.
* K Z-index of node under consideration.
* MAT mixture index assigned to each node.
* DIF diffusion coefficients.
* XX X-directed mesh spacings.
* YY Y-directed mesh spacings.
* ZZ Z-directed mesh spacings.
* IQFR node-ordered unknown list:
* =0: neighbour exists;
* =-1: void/albedo boundary condition;
* =-2: reflection boundary condition;
* =-3: ZERO flux boundary condition;
* =-4: SYME boundary condition (axial symmetry).
* QFR element-ordered boundary conditions.
*
*Parameters: output
* COEF mesh centered finite difference coefficients.
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER NX,NY,NZ,I,J,K,MAT(NX,NY,NZ),IQFR(6)
REAL DIFF(NMIX),XX(NX,NY,NZ),YY(NX,NY,NZ),ZZ(NX,NY,NZ),QFR(6),
1 COEF(6)
*----
* LOCAL VARIABLES
*----
DHARM(X1,X2,DIF1,DIF2)=2.0*DIF1*DIF2/(X1*DIF2+X2*DIF1)
*
IBM=MAT(I,J,K)
DX=XX(I,J,K)
DY=YY(I,J,K)
DZ=ZZ(I,J,K)
KK1=IQFR(1)
KK2=IQFR(2)
KK3=IQFR(3)
KK4=IQFR(4)
KK5=IQFR(5)
KK6=IQFR(6)
COEF(:6)=0.
! x- side:
IF(KK1 == 0) THEN
COEF(1)=DHARM(DX,XX(I-1,J,K),DIFF(IBM),DIFF(MAT(I-1,J,K)))
ELSE IF((KK1 > 0).OR.(KK1 == -1)) THEN
COEF(1)=DHARM(DX,DX,DIFF(IBM),DX*QFR(1)/2.0)
ELSE IF(KK1 == -2) THEN
COEF(1)=0.0
ELSE IF(KK1 == -3) THEN
COEF(1)=2.0*DHARM(DX,DX,DIFF(IBM),DIFF(IBM))
ENDIF
! x+ side:
IF(KK2 == 0) THEN
COEF(2)=DHARM(DX,XX(I+1,J,K),DIFF(IBM),DIFF(MAT(I+1,J,K)))
ELSE IF((KK2 > 0).OR.(KK2 == -1)) THEN
COEF(2)=DHARM(DX,DX,DIFF(IBM),DX*QFR(2)/2.0)
ELSE IF(KK2 == -2) THEN
COEF(2)=0.0
ELSE IF(KK2 == -3) THEN
COEF(2)=2.0*DHARM(DX,DX,DIFF(IBM),DIFF(IBM))
ELSE IF(KK2 == -4) THEN
IF(KK1 == -4) CALL XABORT('NSSCO: INCONSISTENT SYME (1).')
COEF(2)=COEF(1)
ENDIF
IF(KK1 == -4) THEN
IF(KK2 == -4) CALL XABORT('NSSCO: INCONSISTENT SYME (2).')
COEF(1)=COEF(2)
ENDIF
! y- side:
IF(KK3 == 0) THEN
COEF(3)=DHARM(DY,YY(I,J-1,K),DIFF(IBM),DIFF(MAT(I,J-1,K)))
ELSE IF((KK3 > 0).OR.(KK3 == -1)) THEN
COEF(3)=DHARM(DY,DY,DIFF(IBM),DY*QFR(3)/2.0)
ELSE IF(KK3 == -2) THEN
COEF(3)=0.0
ELSE IF(KK3 == -3) THEN
COEF(3)=2.0*DHARM(DY,DY,DIFF(IBM),DIFF(IBM))
ENDIF
! y+ side:
IF(KK4 == 0) THEN
COEF(4)=DHARM(DY,YY(I,J+1,K),DIFF(IBM),DIFF(MAT(I,J+1,K)))
ELSE IF((KK4 > 0).OR.(KK4 == -1)) THEN
COEF(4)=DHARM(DY,DY,DIFF(IBM),DY*QFR(4)/2.0)
ELSE IF(KK4 == -2) THEN
COEF(4)=0.0
ELSE IF(KK4 == -3) THEN
COEF(4)=2.0*DHARM(DY,DY,DIFF(IBM),DIFF(IBM))
ELSE IF(KK4 == -4) THEN
IF(KK3 == -4) CALL XABORT('NSSCO: INCONSISTENT SYME (3).')
COEF(4)=COEF(3)
ENDIF
IF(KK3 == -4) THEN
IF(KK4 == -4) CALL XABORT('NSSCO: INCONSISTENT SYME (4).')
COEF(3)=COEF(4)
ENDIF
! z- side:
IF(KK5 == 0) THEN
COEF(5)=DHARM(DZ,ZZ(I,J,K-1),DIFF(IBM),DIFF(MAT(I,J,K-1)))
ELSE IF((KK5 > 0).OR.(KK5 == -1)) THEN
COEF(5)=DHARM(DZ,DZ,DIFF(IBM),DZ*QFR(5)/2.0)
ELSE IF(KK5 == -2) THEN
COEF(5)=0.0
ELSE IF(KK5 == -3) THEN
COEF(5)=2.0*DHARM(DZ,DZ,DIFF(IBM),DIFF(IBM))
ENDIF
! z+ side:
IF(KK6 == 0) THEN
COEF(6)=DHARM(DZ,ZZ(I,J,K+1),DIFF(IBM),DIFF(MAT(I,J,K+1)))
ELSE IF((KK6 > 0).OR.(KK6 == -1)) THEN
COEF(6)=DHARM(DZ,DZ,DIFF(IBM),DZ*QFR(6)/2.0)
ELSE IF(KK6 == -2) THEN
COEF(6)=0.0
ELSE IF(KK6 == -3) THEN
COEF(6)=2.0*DHARM(DZ,DZ,DIFF(IBM),DIFF(IBM))
ELSE IF(KK6 == -4) THEN
IF(KK5 == -4) CALL XABORT('NSSCO: INCONSISTENT SYME (5).')
COEF(6)=COEF(5)
ENDIF
IF(KK5 == -4) THEN
IF(KK6 == -4) CALL XABORT('NSSCO: INCONSISTENT SYME (6).')
COEF(5)=COEF(6)
ENDIF
RETURN
END
|
