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
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
|
*DECK PNSH3D
SUBROUTINE PNSH3D (ITY,IPR,NBMIX,NBLOS,IELEM,ICOL,NLF,NVD,NAN,L4,
1 LL4F,LL4W,LL4X,LL4Y,MAT,SIGT,SIGTI,SIDE,ZZ,FRZ,QFR,IPERT,KN,LC,
2 R,V,CTRAN,FUNKNO,SUNKNO)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Source calculation for a SPN approximation in TRIVAC, including
* neighbour Legendre and out-of-group contributions.
* Raviart-Thomas-Schneider method in hexagonal geometry.
*
*Copyright:
* Copyright (C) 2009 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
* ITY type of assembly:
* =0: leakage-removal matrix assembly; =1: cross section matrix
* assembly.
* IPR type of assembly:
* =0: contains system matrices;
* =1: contains derivative of these matrices;
* =2: contains first variation of these matrices;
* =3: contains addition of first vatiation to unperturbed
* system matrices.
* NBMIX number of mixtures.
* NBLOS number of lozenges per direction, taking into account
* mesh-splitting.
* IELEM degree of the Lagrangian finite elements: =1 (linear);
* =2 (parabolic); =3 (cubic); =4 (quartic).
* ICOL type of quadrature: =1 (analytical integration);
* =2 (Gauss-Lobatto); =3 (Gauss-Legendre).
* NLF number of Legendre orders for the flux (even number).
* NVD type of void boundary condition if NLF>0 and ICOL=3.
* NAN number of Legendre orders for the cross sections.
* L4 number of unknowns per energy group and per set of two
* Legendre orders.
* LL4F number of flux components.
* LL4W number of W-directed currents.
* LL4X number of X-directed currents.
* LL4Y number of Y-directed currents.
* MAT index-number of the mixture type assigned to each volume.
* SIGT macroscopic cross sections ordered by mixture.
* SIGT(:,NAN) generally contains the total cross section only.
* SIGTI inverse macroscopic cross sections ordered by mixture.
* SIGTI(:,NAN) generally contains the inverse total cross
* section only.
* SIDE side of an hexagon.
* ZZ Z-directed mesh spacings.
* FRZ volume fractions for the axial SYME boundary condition.
* QFR element-ordered boundary conditions.
* IPERT mixture permutation index.
* KN ADI permutation indices for the volumes and currents.
* LC order of the unit matrices.
* R unit Cartesian mass matrix.
* V unit nodal coupling matrix.
* CTRAN tranverse coupling Piolat unit matrix.
* FUNKNO initial fluxes.
* SUNKNO initial sources.
*
*Parameters: output
* SUNKNO modified sources.
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER ITY,IPR,NBMIX,NBLOS,IELEM,ICOL,NLF,NVD,NAN,L4,LL4F,LL4W,
1 LL4X,LL4Y,MAT(3,NBLOS),IPERT(NBLOS),
2 KN(NBLOS,3+6*(IELEM+2)*IELEM**2),LC
REAL SIGT(NBMIX,NAN),SIGTI(NBMIX,NAN),SIDE,ZZ(3,NBLOS),
1 FRZ(NBLOS),QFR(NBLOS,8),R(LC,LC),V(LC,LC-1),SUNKNO(L4*NLF/2),
2 FUNKNO(L4*NLF/2)
DOUBLE PRECISION CTRAN((IELEM+1)*IELEM,(IELEM+1)*IELEM)
*----
* LOCAL VARIABLES
*----
REAL QQ(5,5)
DOUBLE PRECISION FFF,TTTT,UUUU,VOL0,GARS,GARSI,FACT,VAR1
REAL, DIMENSION(:), ALLOCATABLE :: DIFF
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(DIFF(NBLOS))
*
IF(ICOL.EQ.3) THEN
IF(NVD.EQ.0) THEN
NZMAR=NLF+1
ELSE IF(NVD.EQ.1) THEN
NZMAR=NLF
ELSE IF(NVD.EQ.2) THEN
NZMAR=65
ENDIF
ELSE
NZMAR=65
ENDIF
DO 16 I0=1,IELEM
DO 15 J0=1,IELEM
FFF=0.0D0
DO 10 K0=2,IELEM
FFF=FFF+V(K0,I0)*V(K0,J0)/R(K0,K0)
10 CONTINUE
IF(ABS(FFF).LE.1.0E-6) FFF=0.0D0
QQ(I0,J0)=REAL(FFF)
15 CONTINUE
16 CONTINUE
*----
* MAIN LOOP OVER LEGENDRE ORDERS FOR THE FLUX.
*----
DO 200 IL=0,NLF-1
IF((ITY.EQ.1).AND.(IL.GE.NAN)) GO TO 200
FACT=REAL(2*IL+1)
*----
* RECOVER CROSS SECTIONS FOR THE PIOLAT TERMS.
*----
IF(MOD(IL,2).EQ.1) THEN
DO 20 KEL=1,NBLOS
DIFF(KEL)=0.0
IF(IPERT(KEL).GT.0) THEN
IBM=MAT(1,IPERT(KEL))
IF(IBM.GT.0) THEN
GARS=SIGT(IBM,MIN(IL+1,NAN))
VAR1=FACT*ZZ(1,IPERT(KEL))*FRZ(KEL)*GARS
DIFF(KEL)=REAL(VAR1)
ENDIF
ENDIF
20 CONTINUE
ENDIF
*----
* COMPUTE THE SOURCE AT ORDER IL.
*----
NELEH=(IELEM+1)*IELEM**2
TTTT=0.5D0*SQRT(3.D00)*SIDE*SIDE
JOFF=(IL/2)*L4
NUM=0
DO 180 KEL=1,NBLOS
IF(IPERT(KEL).EQ.0) GO TO 180
NUM=NUM+1
IBM=MAT(1,IPERT(KEL))
IF(IBM.EQ.0) GO TO 180
DZ=ZZ(1,IPERT(KEL))
VOL0=TTTT*DZ*FRZ(KEL)
UUUU=SIDE*DZ*FRZ(KEL)
GARS=SIGT(IBM,MIN(IL+1,NAN))
IF(MOD(IL,2).EQ.0) THEN
* EVEN PARITY EQUATION
DO 27 K3=0,IELEM-1
DO 26 K2=0,IELEM-1
DO 25 K1=0,IELEM-1
JND1=JOFF+(((NUM-1)*IELEM+K3)*IELEM+K2)*IELEM+K1+1
JND2=JOFF+(((KN(NUM,1)-1)*IELEM+K3)*IELEM+K2)*IELEM+K1+1
JND3=JOFF+(((KN(NUM,2)-1)*IELEM+K3)*IELEM+K2)*IELEM+K1+1
SUNKNO(JND1)=SUNKNO(JND1)+REAL(FACT*VOL0*GARS*FUNKNO(JND1))
SUNKNO(JND2)=SUNKNO(JND2)+REAL(FACT*VOL0*GARS*FUNKNO(JND2))
SUNKNO(JND3)=SUNKNO(JND3)+REAL(FACT*VOL0*GARS*FUNKNO(JND3))
25 CONTINUE
26 CONTINUE
27 CONTINUE
IF(ITY.EQ.1) GO TO 180
IF((IPR.EQ.1).OR.(IPR.EQ.2)) GO TO 180
*
DO 34 K5=0,1 ! TWO LOZENGES PER HEXAGON
DO 33 K4=0,IELEM-1
DO 32 K3=0,IELEM-1
DO 31 K2=1,IELEM+1
KNW1=KN(NUM,3+K5*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
KNX1=KN(NUM,3+(K5+2)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
KNY1=KN(NUM,3+(K5+4)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
INW1=JOFF+LL4F+ABS(KNW1)
INX1=JOFF+LL4F+ABS(KNX1)
INY1=JOFF+LL4F+ABS(KNY1)
DO 30 K1=0,IELEM-1
IF(V(K2,K1+1).EQ.0.0) GO TO 30
IF(K5.EQ.0) THEN
SSS=(-1.0)**K1
JND1=JOFF+(((NUM-1)*IELEM+K4)*IELEM+K3)*IELEM+K1+1
JND2=JOFF+(((KN(NUM,1)-1)*IELEM+K4)*IELEM+K3)*IELEM+K1+1
JND3=JOFF+(((KN(NUM,2)-1)*IELEM+K4)*IELEM+K3)*IELEM+K1+1
ELSE
SSS=1.0
JND1=JOFF+(((KN(NUM,1)-1)*IELEM+K4)*IELEM+K1)*IELEM+K3+1
JND2=JOFF+(((KN(NUM,2)-1)*IELEM+K4)*IELEM+K1)*IELEM+K3+1
JND3=JOFF+(((KN(NUM,3)-1)*IELEM+K4)*IELEM+K1)*IELEM+K3+1
ENDIF
IF(KNW1.NE.0) THEN
SG=REAL(SIGN(1,KNW1))
VAR1=SG*SSS*REAL(IL+1)*UUUU*V(K2,K1+1)*FUNKNO(INW1)
SUNKNO(JND1)=SUNKNO(JND1)+REAL(VAR1)
ENDIF
IF(KNX1.NE.0) THEN
SG=REAL(SIGN(1,KNX1))
VAR1=SG*SSS*REAL(IL+1)*UUUU*V(K2,K1+1)*FUNKNO(INX1)
SUNKNO(JND2)=SUNKNO(JND2)+REAL(VAR1)
ENDIF
IF(KNY1.NE.0) THEN
SG=REAL(SIGN(1,KNY1))
VAR1=SG*SSS*REAL(IL+1)*UUUU*V(K2,K1+1)*FUNKNO(INY1)
SUNKNO(JND3)=SUNKNO(JND3)+REAL(VAR1)
ENDIF
IF(IL.GE.2) THEN
IF(KNW1.NE.0) THEN
SG=REAL(SIGN(1,KNW1))
VAR1=SG*SSS*REAL(IL)*UUUU*V(K2,K1+1)*FUNKNO(INW1-L4)
SUNKNO(JND1)=SUNKNO(JND1)+REAL(VAR1)
ENDIF
IF(KNX1.NE.0) THEN
SG=REAL(SIGN(1,KNX1))
VAR1=SG*SSS*REAL(IL)*UUUU*V(K2,K1+1)*FUNKNO(INX1-L4)
SUNKNO(JND2)=SUNKNO(JND2)+REAL(VAR1)
ENDIF
IF(KNY1.NE.0) THEN
SG=REAL(SIGN(1,KNY1))
VAR1=SG*SSS*REAL(IL)*UUUU*V(K2,K1+1)*FUNKNO(INY1-L4)
SUNKNO(JND3)=SUNKNO(JND3)+REAL(VAR1)
ENDIF
ENDIF
30 CONTINUE
31 CONTINUE
32 CONTINUE
33 CONTINUE
34 CONTINUE
DO 43 K5=0,2 ! THREE LOZENGES PER HEXAGON
DO 42 K2=0,IELEM-1
DO 41 K1=0,IELEM-1
KNZ1=KN(NUM,3+6*NELEH+2*K5*IELEM**2+K2*IELEM+K1+1)
KNZ2=KN(NUM,3+6*NELEH+(2*K5+1)*IELEM**2+K2*IELEM+K1+1)
INZ1=JOFF+LL4F+ABS(KNZ1)
INZ2=JOFF+LL4F+ABS(KNZ2)
DO 40 K3=0,IELEM-1
IF(K5.EQ.0) THEN
JND1=JOFF+((((NUM-1)*IELEM)+K3)*IELEM+K2)*IELEM+K1+1
ELSE
JND1=JOFF+(((KN(NUM,K5)-1)*IELEM+K3)*IELEM+K2)*IELEM+K1+1
ENDIF
IF(KNZ1.NE.0) THEN
SG=REAL(SIGN(1,KNZ1))
VAR1=SG*(VOL0/DZ)*REAL(IL+1)*V(1,K3+1)*FUNKNO(INZ1)
SUNKNO(JND1)=SUNKNO(JND1)+REAL(VAR1)
ENDIF
IF(KNZ2.NE.0) THEN
SG=REAL(SIGN(1,KNZ2))
VAR1=SG*(VOL0/DZ)*REAL(IL+1)*V(IELEM+1,K3+1)*FUNKNO(INZ2)
SUNKNO(JND1)=SUNKNO(JND1)+REAL(VAR1)
ENDIF
IF(IL.GE.2) THEN
IF(KNZ1.NE.0) THEN
SG=REAL(SIGN(1,KNZ1))
VAR1=SG*(VOL0/DZ)*REAL(IL)*V(1,K3+1)*FUNKNO(INZ1-L4)
SUNKNO(JND1)=SUNKNO(JND1)+REAL(VAR1)
ENDIF
IF(KNZ2.NE.0) THEN
SG=REAL(SIGN(1,KNZ2))
VAR1=SG*(VOL0/DZ)*REAL(IL)*V(IELEM+1,K3+1)*
1 FUNKNO(INZ2-L4)
SUNKNO(JND1)=SUNKNO(JND1)+REAL(VAR1)
ENDIF
ENDIF
40 CONTINUE
41 CONTINUE
42 CONTINUE
43 CONTINUE
ELSE IF(MOD(IL,2).EQ.1) THEN
* PARTIAL INVERSION OF THE ODD PARITY EQUATION. MODIFICATION OF
* THE EVEN PARITY EQUATION.
GARSI=SIGTI(IBM,MIN(IL+1,NAN))
IF(IELEM.GT.1) THEN
DO 72 K3=0,IELEM-1
DO 71 K2=0,IELEM-1
DO 70 K1=0,IELEM-1
IF(QQ(K3+1,K3+1).EQ.0.0) GO TO 70
JND1=JOFF+(NUM-1)*IELEM**3+K3*IELEM**2+K2*IELEM+K1+1
JND2=JOFF+(KN(NUM,1)-1)*IELEM**3+K3*IELEM**2+K2*IELEM+K1+1
JND3=JOFF+(KN(NUM,2)-1)*IELEM**3+K3*IELEM**2+K2*IELEM+K1+1
VAR1=(REAL(IL)**2)*VOL0*QQ(K3+1,K3+1)*GARSI/(FACT*DZ*DZ)
SUNKNO(JND1)=SUNKNO(JND1)+REAL(VAR1)*FUNKNO(JND1)
SUNKNO(JND2)=SUNKNO(JND2)+REAL(VAR1)*FUNKNO(JND2)
SUNKNO(JND3)=SUNKNO(JND3)+REAL(VAR1)*FUNKNO(JND3)
IF(IL.LE.NLF-3) THEN
KND1=JND1+L4
KND2=JND2+L4
KND3=JND3+L4
VAR1=(REAL(IL)*REAL(IL+1))*VOL0*QQ(K3+1,K3+1)*GARSI/
1 (FACT*DZ*DZ)
SUNKNO(KND1)=SUNKNO(KND1)+REAL(VAR1)*FUNKNO(JND1)
SUNKNO(KND2)=SUNKNO(KND2)+REAL(VAR1)*FUNKNO(JND2)
SUNKNO(KND3)=SUNKNO(KND3)+REAL(VAR1)*FUNKNO(JND3)
*
SUNKNO(JND1)=SUNKNO(JND1)+REAL(VAR1)*FUNKNO(KND1)
SUNKNO(JND2)=SUNKNO(JND2)+REAL(VAR1)*FUNKNO(KND2)
SUNKNO(JND3)=SUNKNO(JND3)+REAL(VAR1)*FUNKNO(KND3)
*
VAR1=(REAL(IL+1)**2)*VOL0*QQ(K3+1,K3+1)*GARSI/
1 (FACT*DZ*DZ)
SUNKNO(KND1)=SUNKNO(KND1)+REAL(VAR1)*FUNKNO(KND1)
SUNKNO(KND2)=SUNKNO(KND2)+REAL(VAR1)*FUNKNO(KND2)
SUNKNO(KND3)=SUNKNO(KND3)+REAL(VAR1)*FUNKNO(KND3)
ENDIF
70 CONTINUE
71 CONTINUE
72 CONTINUE
ENDIF
* ODD PARITY EQUATION.
DO 84 K5=0,1 ! TWO LOZENGES PER HEXAGON
DO 83 K4=0,IELEM-1
DO 82 K3=0,IELEM-1
DO 81 K2=1,IELEM+1
KNW1=KN(NUM,3+K5*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
KNX1=KN(NUM,3+(K5+2)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
KNY1=KN(NUM,3+(K5+4)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
INW1=JOFF+LL4F+ABS(KNW1)
INX1=JOFF+LL4F+ABS(KNX1)
INY1=JOFF+LL4F+ABS(KNY1)
DO 80 K1=1,IELEM+1
KNW2=KN(NUM,3+K5*NELEH+(K4*IELEM+K3)*(IELEM+1)+K1)
KNX2=KN(NUM,3+(K5+2)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K1)
KNY2=KN(NUM,3+(K5+4)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K1)
INW2=JOFF+LL4F+ABS(KNW2)
INX2=JOFF+LL4F+ABS(KNX2)
INY2=JOFF+LL4F+ABS(KNY2)
IF((KNW2.NE.0).AND.(KNW1.NE.0)) THEN
SG=REAL(SIGN(1,KNW1)*SIGN(1,KNW2))
VAR1=(4./3.)*SG*FACT*VOL0*GARS*R(K2,K1)*FUNKNO(INW2)
SUNKNO(INW1)=SUNKNO(INW1)-REAL(VAR1)
ENDIF
IF((KNX2.NE.0).AND.(KNX1.NE.0)) THEN
SG=REAL(SIGN(1,KNX1)*SIGN(1,KNX2))
VAR1=(4./3.)*SG*FACT*VOL0*GARS*R(K2,K1)*FUNKNO(INX2)
SUNKNO(INX1)=SUNKNO(INX1)-REAL(VAR1)
ENDIF
IF((KNY2.NE.0).AND.(KNY1.NE.0)) THEN
SG=REAL(SIGN(1,KNY1)*SIGN(1,KNY2))
VAR1=(4./3.)*SG*FACT*VOL0*GARS*R(K2,K1)*FUNKNO(INY2)
SUNKNO(INY1)=SUNKNO(INY1)-REAL(VAR1)
ENDIF
80 CONTINUE
81 CONTINUE
82 CONTINUE
83 CONTINUE
84 CONTINUE
DO 94 K5=0,2 ! THREE LOZENGES PER HEXAGON
DO 93 K2=0,IELEM-1
DO 92 K1=0,IELEM-1
DO 91 IC=1,2
IF(IC.EQ.1) IIC=1
IF(IC.EQ.2) IIC=IELEM+1
KNZ1=KN(NUM,3+6*NELEH+((2*K5+IC-1)*IELEM+K2)*IELEM+K1+1)
INZ1=JOFF+LL4F+ABS(KNZ1)
DO 90 JC=1,2
IF(JC.EQ.1) JJC=1
IF(JC.EQ.2) JJC=IELEM+1
KNZ2=KN(NUM,3+6*NELEH+((2*K5+JC-1)*IELEM+K2)*IELEM+K1+1)
INZ2=JOFF+LL4F+ABS(KNZ2)
IF((KNZ1.NE.0).AND.(KNZ2.NE.0)) THEN
SG=REAL(SIGN(1,KNZ1)*SIGN(1,KNZ2))
VAR1=SG*FACT*VOL0*GARS*R(IIC,JJC)*FUNKNO(INZ2)
SUNKNO(INZ1)=SUNKNO(INZ1)-REAL(VAR1)
ENDIF
90 CONTINUE
91 CONTINUE
92 CONTINUE
93 CONTINUE
94 CONTINUE
IF(ITY.EQ.1) GO TO 180
*----
* BOUNDARY CONDITIONS.
*----
DO 133 K5=0,1 ! TWO LOZENGES PER HEXAGON
DO 132 K4=0,IELEM-1
DO 131 K3=0,IELEM-1
DO 130 K2=1,IELEM+1,IELEM
KNW1=KN(NUM,3+K5*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
KNX1=KN(NUM,3+(K5+2)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
KNY1=KN(NUM,3+(K5+4)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
INW1=JOFF+LL4F+ABS(KNW1)
INX1=JOFF+LL4F+ABS(KNX1)
INY1=JOFF+LL4F+ABS(KNY1)
IF(KNW1.NE.0) THEN
DO 100 IL2=1,NLF-1,2
ZMARS=PNMAR2(NZMAR,IL2,IL)
INW2=(IL2/2)*L4+LL4F+ABS(KNW1)
IF((K2.EQ.1).AND.(K5.EQ.0)) THEN
VAR1=0.5*FACT*QFR(NUM,1)*ZMARS*FUNKNO(INW2)
SUNKNO(INW1)=SUNKNO(INW1)-REAL(VAR1)
ELSE IF((K2.EQ.IELEM+1).AND.(K5.EQ.1)) THEN
VAR1=0.5*FACT*QFR(NUM,2)*ZMARS*FUNKNO(INW2)
SUNKNO(INW1)=SUNKNO(INW1)-REAL(VAR1)
ENDIF
100 CONTINUE
ENDIF
IF(KNX1.NE.0) THEN
DO 110 IL2=1,NLF-1,2
ZMARS=PNMAR2(NZMAR,IL2,IL)
INX2=(IL2/2)*L4+LL4F+ABS(KNX1)
IF((K2.EQ.1).AND.(K5.EQ.0)) THEN
VAR1=0.5*FACT*QFR(NUM,3)*ZMARS*FUNKNO(INX2)
SUNKNO(INX1)=SUNKNO(INX1)-REAL(VAR1)
ELSE IF((K2.EQ.IELEM+1).AND.(K5.EQ.1)) THEN
VAR1=0.5*FACT*QFR(NUM,4)*ZMARS*FUNKNO(INX2)
SUNKNO(INX1)=SUNKNO(INX1)-REAL(VAR1)
ENDIF
110 CONTINUE
ENDIF
IF(KNY1.NE.0) THEN
DO 120 IL2=1,NLF-1,2
ZMARS=PNMAR2(NZMAR,IL2,IL)
INY2=(IL2/2)*L4+LL4F+ABS(KNY1)
IF((K2.EQ.1).AND.(K5.EQ.0)) THEN
VAR1=0.5*FACT*QFR(NUM,5)*ZMARS*FUNKNO(INY2)
SUNKNO(INY1)=SUNKNO(INY1)-REAL(VAR1)
ELSE IF((K2.EQ.IELEM+1).AND.(K5.EQ.1)) THEN
VAR1=0.5*FACT*QFR(NUM,6)*ZMARS*FUNKNO(INY2)
SUNKNO(INY1)=SUNKNO(INY1)-REAL(VAR1)
ENDIF
120 CONTINUE
ENDIF
130 CONTINUE
131 CONTINUE
132 CONTINUE
133 CONTINUE
IF((IPR.EQ.1).OR.(IPR.EQ.2)) GO TO 180
DO 153 K5=0,2 ! THREE LOZENGES PER HEXAGON
DO 152 K2=0,IELEM-1
DO 151 K1=0,IELEM-1
DO 150 IC=1,2
KNZ1=KN(NUM,3+6*NELEH+((2*K5+IC-1)*IELEM+K2)*IELEM+K1+1)
INZ1=JOFF+LL4F+ABS(KNZ1)
IF(KNZ1.NE.0) THEN
DO 140 IL2=1,NLF-1,2
ZMARS=PNMAR2(NZMAR,IL2,IL)
INZ2=(IL2/2)*L4+LL4F+ABS(KNZ1)
IF(IC.EQ.1) THEN
VAR1=0.5*FACT*QFR(NUM,7)*ZMARS*FUNKNO(INZ2)
SUNKNO(INZ1)=SUNKNO(INZ1)-REAL(VAR1)
ELSE IF(IC.EQ.2) THEN
VAR1=0.5*FACT*QFR(NUM,8)*ZMARS*FUNKNO(INZ2)
SUNKNO(INZ1)=SUNKNO(INZ1)-REAL(VAR1)
ENDIF
140 CONTINUE
ENDIF
150 CONTINUE
151 CONTINUE
152 CONTINUE
153 CONTINUE
*
DO 164 K5=0,1 ! TWO LOZENGES PER HEXAGON
DO 163 K4=0,IELEM-1
DO 162 K3=0,IELEM-1
DO 161 K2=1,IELEM+1
KNW1=KN(NUM,3+K5*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
KNX1=KN(NUM,3+(K5+2)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
KNY1=KN(NUM,3+(K5+4)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
INW1=JOFF+LL4F+ABS(KNW1)
INX1=JOFF+LL4F+ABS(KNX1)
INY1=JOFF+LL4F+ABS(KNY1)
DO 160 K1=0,IELEM-1
IF(V(K2,K1+1).EQ.0.0) GO TO 160
IF(K5.EQ.0) THEN
SSS=(-1.0)**K1
JND1=JOFF+(((NUM-1)*IELEM+K4)*IELEM+K3)*IELEM+K1+1
JND2=JOFF+(((KN(NUM,1)-1)*IELEM+K4)*IELEM+K3)*IELEM+K1+1
JND3=JOFF+(((KN(NUM,2)-1)*IELEM+K4)*IELEM+K3)*IELEM+K1+1
ELSE
SSS=1.0
JND1=JOFF+(((KN(NUM,1)-1)*IELEM+K4)*IELEM+K1)*IELEM+K3+1
JND2=JOFF+(((KN(NUM,2)-1)*IELEM+K4)*IELEM+K1)*IELEM+K3+1
JND3=JOFF+(((KN(NUM,3)-1)*IELEM+K4)*IELEM+K1)*IELEM+K3+1
ENDIF
IF(KNW1.NE.0) THEN
SG=REAL(SIGN(1,KNW1))
VAR1=SG*SSS*REAL(IL)*UUUU*V(K2,K1+1)*FUNKNO(JND1)
SUNKNO(INW1)=SUNKNO(INW1)+REAL(VAR1)
ENDIF
IF(KNX1.NE.0) THEN
SG=REAL(SIGN(1,KNX1))
VAR1=SG*SSS*REAL(IL)*UUUU*V(K2,K1+1)*FUNKNO(JND2)
SUNKNO(INX1)=SUNKNO(INX1)+REAL(VAR1)
ENDIF
IF(KNY1.NE.0) THEN
SG=REAL(SIGN(1,KNY1))
VAR1=SG*SSS*REAL(IL)*UUUU*V(K2,K1+1)*FUNKNO(JND3)
SUNKNO(INY1)=SUNKNO(INY1)+REAL(VAR1)
ENDIF
IF(IL.LE.NLF-3) THEN
IF(KNW1.NE.0) THEN
SG=REAL(SIGN(1,KNW1))
VAR1=SG*SSS*REAL(IL+1)*UUUU*V(K2,K1+1)*FUNKNO(JND1+L4)
SUNKNO(INW1)=SUNKNO(INW1)+REAL(VAR1)
ENDIF
IF(KNX1.NE.0) THEN
SG=REAL(SIGN(1,KNX1))
VAR1=SG*SSS*REAL(IL+1)*UUUU*V(K2,K1+1)*FUNKNO(JND2+L4)
SUNKNO(INX1)=SUNKNO(INX1)+REAL(VAR1)
ENDIF
IF(KNY1.NE.0) THEN
SG=REAL(SIGN(1,KNY1))
VAR1=SG*SSS*REAL(IL+1)*UUUU*V(K2,K1+1)*FUNKNO(JND3+L4)
SUNKNO(INY1)=SUNKNO(INY1)+REAL(VAR1)
ENDIF
ENDIF
160 CONTINUE
161 CONTINUE
162 CONTINUE
163 CONTINUE
164 CONTINUE
DO 173 K5=0,2 ! THREE LOZENGES PER HEXAGON
DO 172 K2=0,IELEM-1
DO 171 K1=0,IELEM-1
KNZ1=KN(NUM,3+6*NELEH+2*K5*IELEM**2+K2*IELEM+K1+1)
KNZ2=KN(NUM,3+6*NELEH+(2*K5+1)*IELEM**2+K2*IELEM+K1+1)
INZ1=JOFF+LL4F+ABS(KNZ1)
INZ2=JOFF+LL4F+ABS(KNZ2)
DO 170 K3=0,IELEM-1
IF(K5.EQ.0) THEN
JND1=JOFF+((((NUM-1)*IELEM)+K3)*IELEM+K2)*IELEM+K1+1
ELSE
JND1=JOFF+(((KN(NUM,K5)-1)*IELEM+K3)*IELEM+K2)*IELEM+K1+1
ENDIF
IF(KNZ1.NE.0) THEN
SG=REAL(SIGN(1,KNZ1))
VAR1=SG*(VOL0/DZ)*REAL(IL)*V(1,K3+1)*FUNKNO(JND1)
SUNKNO(INZ1)=SUNKNO(INZ1)+REAL(VAR1)
ENDIF
IF(KNZ2.NE.0) THEN
SG=REAL(SIGN(1,KNZ2))
VAR1=SG*(VOL0/DZ)*REAL(IL)*V(IELEM+1,K3+1)*FUNKNO(JND1)
SUNKNO(INZ2)=SUNKNO(INZ2)+REAL(VAR1)
ENDIF
IF(IL.LE.NLF-3) THEN
IF(KNZ1.NE.0) THEN
SG=REAL(SIGN(1,KNZ1))
VAR1=SG*(VOL0/DZ)*REAL(IL+1)*V(1,K3+1)*FUNKNO(JND1+L4)
SUNKNO(INZ1)=SUNKNO(INZ1)+REAL(VAR1)
ENDIF
IF(KNZ2.NE.0) THEN
SG=REAL(SIGN(1,KNZ2))
VAR1=SG*(VOL0/DZ)*REAL(IL+1)*V(IELEM+1,K3+1)*
1 FUNKNO(JND1+L4)
SUNKNO(INZ2)=SUNKNO(INZ2)+REAL(VAR1)
ENDIF
ENDIF
170 CONTINUE
171 CONTINUE
172 CONTINUE
173 CONTINUE
ENDIF
180 CONTINUE
IF(MOD(IL,2).EQ.1) THEN
IOFW=JOFF+LL4F
IOFX=JOFF+LL4F+LL4W
IOFY=JOFF+LL4F+LL4W+LL4X
CALL FLDPWY(LL4W,LL4X,LL4Y,NBLOS,IELEM,CTRAN,IPERT,KN,DIFF,
1 FUNKNO(IOFY+1),SUNKNO(IOFW+1))
CALL FLDPWX(LL4W,LL4X,NBLOS,IELEM,CTRAN,IPERT,KN,DIFF,
1 FUNKNO(IOFX+1),SUNKNO(IOFW+1))
CALL FLDPXW(LL4W,LL4X,NBLOS,IELEM,CTRAN,IPERT,KN,DIFF,
1 FUNKNO(IOFW+1),SUNKNO(IOFX+1))
CALL FLDPXY(LL4W,LL4X,LL4Y,NBLOS,IELEM,CTRAN,IPERT,KN,DIFF,
1 FUNKNO(IOFY+1),SUNKNO(IOFX+1))
CALL FLDPYX(LL4W,LL4X,LL4Y,NBLOS,IELEM,CTRAN,IPERT,KN,DIFF,
1 FUNKNO(IOFX+1),SUNKNO(IOFY+1))
CALL FLDPYW(LL4W,LL4X,LL4Y,NBLOS,IELEM,CTRAN,IPERT,KN,DIFF,
1 FUNKNO(IOFW+1),SUNKNO(IOFY+1))
ENDIF
200 CONTINUE
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(DIFF)
RETURN
END
|
