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
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
|
*DECK BRENEM
SUBROUTINE BRENEM(IPMAC1,NG,LX1,NMIX1,ITRIAL,IMIX,ICODE,ISPH,IH,
1 ZKEFF,B2,ENER,VOL1,FLX1,DC1,TOT1,CHI1,SIGF1,SCAT1,HFACT1,JXM,
2 JXP,FHETXM,FHETXP,ADF1,NGET,ADFREF,IPRINT)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Implement the 1D DF-NEM reflector model.
*
*Copyright:
* Copyright (C) 2021 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
* IPMAC1 nodal macrolib.
* NG number of energy groups.
* LX1 number of nodes in the reflector model.
* NMIX1 number of mixtures in the nodal calculation.
* ITRIAL type of expansion functions in the nodal calculation.
* (=1: polynomial; =2: hyperbolic).
* IMIX mix index of each node.
* ICODE physical albedo index on each side of the domain.
* ISPH SPH flag (=0: use discontinuity factors; =1: use SPH factors).
* ZKEFF effective multiplication factor.
* B2 buckling.
* ENER energy limits.
* VOL1 volumes.
* FLX1 averaged fluxes
* DC1 diffusion coefficients.
* TOT1 total cross sections.
* CHI1 fission spectra.
* SIGF1 nu*fission cross sections.
* SCAT1 scattering P0 cross sections.
* HFACT1 H-FACTOR values.
* JXM left boundary currents.
* JXP right boundary currents.
* FHETXM left boundary fluxes.
* FHETXP right boundary fluxes.
* ADF1 assembly discontinuity factors from macrolib.
* NGET type of NGET normalization if discontinuity factors
* (=0: simple; =1: imposed ADF on fuel assembly; =2: recover
* fuel assembly ADF from input macrolib).
* ADFREF imposed ADF values on fuel assembly side.
* IPRINT edition flag.
*
*-----------------------------------------------------------------------
*
USE GANLIB
*----
* SUBROUTINE ARGUMENTS
*----
TYPE(C_PTR) IPMAC1
INTEGER NG,LX1,NMIX1,ITRIAL(NG),IMIX(LX1),ICODE(2),ISPH,NGET,
1 IPRINT
REAL ZKEFF,B2,ENER(NG+1),VOL1(NMIX1),FLX1(NMIX1,NG),DC1(NMIX1,NG),
1 TOT1(NMIX1,NG),CHI1(NMIX1,NG),SIGF1(NMIX1,NG),
2 SCAT1(NMIX1,NG,NG),HFACT1(NMIX1,NG),JXM(NMIX1,NG),JXP(NMIX1,NG),
3 FHETXM(NMIX1,NG),FHETXP(NMIX1,NG),ADF1(NMIX1,NG),ADFREF(NG)
*----
* LOCAL VARIABLES
*----
PARAMETER (NSTATE=40)
INTEGER ISTATE(NSTATE)
REAL SX(4),A11(4,4),Q(5)
CHARACTER HADF*8
TYPE(C_PTR) JPMAC1,KPMAC1
*----
* ALLOCATABLE ARRAYS
*----
INTEGER, ALLOCATABLE, DIMENSION(:) :: IJJ,NJJ,IPOS
REAL, ALLOCATABLE, DIMENSION(:) :: WORK,ETA,AFACTOR,BETA
REAL, ALLOCATABLE, DIMENSION(:,:) :: AB,ALPHA,FDXM,FDXP
*----
* LOOP OVER EQUIVALENT REFLECTOR NODES
*----
ALLOCATE(ETA(NG),AB(4*NG,4*NG+1),ALPHA(4,NG),FDXM(NMIX1,NG),
1 FDXP(NMIX1,NG),AFACTOR(NG),BETA(NG))
*----
* SET AND SOLVE NODAL SYSTEM
*----
J_FUEL=0
DO J=1,LX1
IBM=IMIX(J)
IF(IBM.EQ.0) CYCLE
DO IGR=1,NG
IF(SIGF1(IBM,IGR).GT.0.0) J_FUEL=J
DIFF=DC1(IBM,IGR)
SIGR=TOT1(IBM,IGR)+B2*DIFF-SCAT1(IBM,IGR,IGR)
ETA(IGR)=VOL1(IBM)*SQRT(SIGR/DIFF)
DO JGR=1,NG
IF(JGR.EQ.IGR) THEN
SIGT=SIGR-CHI1(IBM,IGR)*SIGF1(IBM,IGR)/ZKEFF
CALL BRESS1(ITRIAL(IGR),VOL1(IBM),DIFF,SIGR,SIGT,A11)
ELSE
SIGT=-SCAT1(IBM,JGR,IGR)-CHI1(IBM,JGR)*SIGF1(IBM,IGR)/ZKEFF
CALL BRESS2(ITRIAL(IGR),VOL1(IBM),DIFF,SIGR,SIGT,A11)
ENDIF
DO K1=1,4
DO K2=1,4
AB((JGR-1)*4+K1,(IGR-1)*4+K2)=A11(K1,K2)
ENDDO
ENDDO
ENDDO
SX = (/0.0,0.0,JXM(IBM,IGR),JXP(IBM,IGR)/)
DO K1 =1,4
AB((IGR-1)*4+K1,4*NG+1)=SX(K1)
ENDDO
ENDDO
CALL ALSB(4*NG,1,AB,IER,4*NG)
IF (IER.NE.0) CALL XABORT('BRENEM: ALBS FAILURE')
DO IGR=1,NG
DO I=1,4
ALPHA(I,IGR)=AB((IGR-1)*4+I,4*NG+1)
ENDDO
ENDDO
IF(IPRINT.GT.1) THEN
WRITE(6,'(/9H MIXTURE=,I5)') J
WRITE(6,20) 'ALPHA',ALPHA(:4,:NG)
ENDIF
*----
* COMPUTE DISCONTINUITY FACTORS
*----
DO IGR=1,NG
IF (ITRIAL(IGR) == 1) THEN
Q(1) = ALPHA(2,IGR)/2.
FHOMM=-ALPHA(1,IGR)/2.+FLX1(IBM,IGR)+Q(1)
FHOMP=ALPHA(1,IGR)/2.+FLX1(IBM,IGR)+Q(1)
ELSE
Q(1) = ETA(IGR)/2.
Q(2) = SINH(Q(1))
Q(3) = ALPHA(2,IGR)/2.
Q(4) = ALPHA(3,IGR)*Q(2)
Q(5) = ALPHA(4,IGR)*(COSH(Q(1)) - (2*Q(2))/ETA(IGR))
FHOMM=-ALPHA(1,IGR)/2.+FLX1(IBM,IGR)+Q(3)-Q(4)+Q(5)
FHOMP=ALPHA(1,IGR)/2.+FLX1(IBM,IGR)+Q(3)+Q(4)+Q(5)
ENDIF
FDXM(IBM,IGR)=FHETXM(IBM,IGR)/FHOMM
FDXP(IBM,IGR)=FHETXP(IBM,IGR)/FHOMP
ENDDO
ENDDO
IF(IPRINT.GT.0) THEN
WRITE(6,'(/48H BRENEM: DISCONTINUITY FACTORS BEFORE NORMALIZAT,
1 3HION)')
DO IBM=1,NMIX1
WRITE(6,'(/9H MIXTURE=,I5)') IBM
WRITE(6,20) 'FDXM',FDXM(IBM,:NG)
WRITE(6,20) 'FDXP',FDXP(IBM,:NG)
ENDDO
ENDIF
*----
* COMPUTE ALBEDOS
*----
IF(ICODE(2).NE.0) THEN
BETA(:)=0.0
IBM=IMIX(LX1)
DO IGR=1,NG
IF(IBM.EQ.0) CYCLE
AFACTOR(IGR)=FDXP(IBM,IGR)*JXP(IBM,IGR)/FHETXP(IBM,IGR)
BETA(IGR)=(1.0-2.0*AFACTOR(IGR))/(1.0+2.0*AFACTOR(IGR))
ENDDO
IF(IPRINT.GT.0) THEN
WRITE(6,'(/16H BRENEM: ALBEDOS)')
WRITE(6,20) 'BETA',BETA(:NG)
ENDIF
ENDIF
*----
* THE SPH PARAMETERS ARE NOT DEGENERATE IN NON-FUNDAMENTAL MODE
* CONDITION. THE ONLY SOLUTION CORRESPONDS TO J_FUEL=1
*----
IF(ISPH.EQ.1) J_FUEL=1
*----
* NGET NORMALIZATION OF THE DISCONTINUITY FACTORS
*----
IF(J_FUEL.GT.0) THEN
IF(NGET.GT.0) THEN
IBM=IMIX(J_FUEL)
DO IGR=1,NG
! impose the adf on the fuel assembly side
IF(IBM.EQ.0) CYCLE
IF(NGET.EQ.1) THEN
FNORM=ADFREF(IGR)/FDXP(IBM,IGR)
ELSE
FNORM=ADF1(IBM,IGR)/FDXP(IBM,IGR)
ENDIF
FDXP(IBM,IGR)=FDXP(IBM,IGR)*FNORM
IF(J_FUEL<LX1) THEN
IBMP=IMIX(J_FUEL+1)
IF(IBMP.GT.0) FDXM(IBMP,IGR)=FDXM(IBMP,IGR)*FNORM
ENDIF
ENDDO
ENDIF
DO J=J_FUEL,1,-1
IBM=IMIX(J)
IF(IBM.EQ.0) CYCLE
DO IGR=1,NG
IF(J>1) THEN
IBMM=IMIX(J-1)
IF(IBMM.GT.0) FDXP(IBMM,IGR)=FDXP(IBMM,IGR)*FDXP(IBM,IGR)/
1 FDXM(IBM,IGR)
ENDIF
FDXM(IBM,IGR)=FDXP(IBM,IGR)
ENDDO
ENDDO
ENDIF
DO J=J_FUEL+1,LX1
IBM=IMIX(J)
IF(IBM.EQ.0) CYCLE
DO IGR=1,NG
IF(J<LX1) THEN
IBMP=IMIX(J+1)
IF(IBMP.GT.0) FDXM(IBMP,IGR)=FDXM(IBMP,IGR)*FDXM(IBM,IGR)/
1 FDXP(IBM,IGR)
ENDIF
FDXP(IBM,IGR)=FDXM(IBM,IGR)
ENDDO
ENDDO
IF(IPRINT.GT.0) THEN
WRITE(6,'(/48H BRENEM: DISCONTINUITY FACTORS AFTER NGET NORMAL,
1 7HIZATION)')
DO IBM=1,NMIX1
WRITE(6,'(/9H MIXTURE=,I5)') IBM
WRITE(6,20) 'FDX',FDXM(IBM,:NG)
ENDDO
ENDIF
*----
* APPLY SPH FACTORS
*----
IF(ISPH.EQ.1) THEN
DO IGR=1,NG
DO J=1,LX1
IBM=IMIX(J)
IF(IBM.EQ.0) CYCLE
TOT1(IBM,IGR)=TOT1(IBM,IGR)/FDXM(IBM,IGR)
DC1(IBM,IGR)=DC1(IBM,IGR)/FDXM(IBM,IGR)
SIGF1(IBM,IGR)=SIGF1(IBM,IGR)/FDXM(IBM,IGR)
DO JGR=1,NG
SCAT1(IBM,IGR,JGR)=SCAT1(IBM,IGR,JGR)/FDXM(IBM,JGR)
ENDDO
IF(IH.EQ.1) THEN
HFACT1(IBM,IGR)=HFACT1(IBM,IGR)/FDXM(IBM,IGR)
ENDIF
ENDDO
ENDDO
IF(ICODE(2).NE.0) THEN
BETA(:)=0.0
IF(ICODE(2).NE.0) THEN
IBM=IMIX(LX1)
DO IGR=1,NG
IF(IBM.EQ.0) CYCLE
AFACTOR(IGR)=AFACTOR(IGR)/FDXM(IBM,IGR)
BETA(IGR)=(1.0-2.0*AFACTOR(IGR))/(1.0+2.0*AFACTOR(IGR))
ENDDO
ENDIF
IF(IPRINT.GT.0) THEN
WRITE(6,'(/30H BRENEM: SPH CORRECTED ALBEDOS)')
WRITE(6,20) 'BETA',BETA(:NG)
ENDIF
ENDIF
ENDIF
IF(IPRINT.GT.0) THEN
WRITE(6,'(/31H BRENEM: DIFFUSION COEFFICIENTS)')
DO IBM=1,NMIX1
WRITE(6,'(/9H MIXTURE=,I5)') IBM
WRITE(6,20) 'DIFF',DC1(IBM,:NG)
ENDDO
ENDIF
*----
* SAVE THE OUTPUT NODAL MACROLIB
*----
ALLOCATE(IJJ(NMIX1),NJJ(NMIX1),IPOS(NMIX1),WORK(NMIX1*NG))
ISTATE(:)=0
ISTATE(1)=NG
ISTATE(2)=NMIX1
ISTATE(3)=1
IF(J_FUEL.GT.0) ISTATE(4)=1
IF(ICODE(2).NE.0) ISTATE(8)=1 ! physical albedo information
ISTATE(9)=1 ! diffusion coefficient information
IF(ISPH.EQ.0) ISTATE(12)=3 ! discontinuity factor information
IF(ISPH.EQ.1) ISTATE(14)=1 ! SPH factor information
CALL LCMPUT(IPMAC1,'STATE-VECTOR',NSTATE,1,ISTATE)
CALL LCMPUT(IPMAC1,'ENERGY',NG+1,2,ENER)
CALL LCMPUT(IPMAC1,'VOLUME',NMIX1,2,VOL1)
CALL LCMPUT(IPMAC1,'B2 B1HOM',1,2,B2)
IF(ICODE(2).NE.0) CALL LCMPUT(IPMAC1,'ALBEDO',NG,2,BETA)
IF(ISPH.EQ.0) THEN
CALL LCMSIX(IPMAC1,'ADF',1)
NTYPE=1
HADF='FD_B'
CALL LCMPUT(IPMAC1,'NTYPE',1,1,NTYPE)
CALL LCMPTC(IPMAC1,'HADF',8,HADF)
CALL LCMPUT(IPMAC1,HADF,NMIX1*NG,2,FDXM)
CALL LCMSIX(IPMAC1,' ',2)
ELSE IF(ISPH.EQ.1) THEN
CALL LCMSIX(IPMAC1,'SPH',1)
ISTATE(:)=0
ISTATE(1)=4
ISTATE(2)=1
ISTATE(6)=1
ISTATE(7)=1
ISTATE(8)=NG
CALL LCMPUT(IPMAC1,'STATE-VECTOR',NSTATE,1,ISTATE)
CALL LCMSIX(IPMAC1,' ',2)
ENDIF
JPMAC1=LCMLID(IPMAC1,'GROUP',NG)
DO IGR=1,NG
KPMAC1=LCMDIL(JPMAC1,IGR)
DO IBM=1,NMIX1
WORK(IBM)=VOL1(IBM)*FLX1(IBM,IGR)
ENDDO
CALL LCMPUT(KPMAC1,'FLUX-INTG',NMIX1,2,WORK)
CALL LCMPUT(KPMAC1,'NTOT0',NMIX1,2,TOT1(:,IGR))
CALL LCMPUT(KPMAC1,'DIFF',NMIX1,2,DC1(:,IGR))
DO IBM=1,NMIX1
WORK(IBM)=SCAT1(IBM,IGR,IGR)
ENDDO
CALL LCMPUT(KPMAC1,'SIGW00',NMIX1,2,WORK)
CALL LCMPUT(KPMAC1,'CHI',NMIX1,2,CHI1(:,IGR))
CALL LCMPUT(KPMAC1,'NUSIGF',NMIX1,2,SIGF1(:,IGR))
IF(ISPH.EQ.1) THEN
DO IBM=1,NMIX1
WORK(IBM)=1.0/FDXM(IBM,IGR)
ENDDO
CALL LCMPUT(KPMAC1,'NSPH',NMIX1,2,WORK)
ENDIF
IPOSDE=0
DO IBM=1,NMIX1
J2=IGR
J1=IGR
DO JGR=1,NG
IF(SCAT1(IBM,IGR,JGR).NE.0.0) THEN
J2=MAX(J2,JGR)
J1=MIN(J1,JGR)
ENDIF
ENDDO
NJJ(IBM)=J2-J1+1
IJJ(IBM)=J2
IPOS(IBM)=IPOSDE+1
DO JGR=J2,J1,-1
IPOSDE=IPOSDE+1
IF(IPOSDE.GT.NG*NMIX1) CALL XABORT('BRENEM: SCAT OVERFLOW.')
WORK(IPOSDE)=SCAT1(IBM,IGR,JGR)
ENDDO
ENDDO
CALL LCMPUT(KPMAC1,'SCAT00',IPOSDE,2,WORK)
CALL LCMPUT(KPMAC1,'NJJS00',NMIX1,1,NJJ)
CALL LCMPUT(KPMAC1,'IJJS00',NMIX1,1,IJJ)
CALL LCMPUT(KPMAC1,'IPOS00',NMIX1,1,IPOS)
IF(IH.EQ.1) CALL LCMPUT(KPMAC1,'H-FACTOR',NMIX1,2,HFACT1(:,IGR))
ENDDO
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(WORK,IPOS,NJJ,IJJ,BETA,AFACTOR,FDXP,FDXM,ALPHA,AB,ETA)
RETURN
20 FORMAT(1X,A9,1P,10E12.4,/(10X,10E12.4))
END
|
