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|
*DECK BIVSFH
SUBROUTINE BIVSFH (MAXEV,NBLOS,IMPX,ISPLH,IELEM,LXH,MAT,SIDE,
1 NCODE,ICODE,ZCODE,LL4,VOL,IDL,IPERT,KN,QFR,IQFR,BFR,MU)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Numbering corresponding to a Thomas-Raviart-Schneider finite element
* discretization of a 2-D hexagonal geometry.
*
*Copyright:
* Copyright (C) 2006 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
* MAXEV allocated storage for vector MU.
* NBLOS number of lozenges per direction, taking into account
* mesh-splitting.
* IMPX print parameter.
* ISPLH mesh-splitting in 3*ISPLH**2 lozenges per hexagon.
* IELEM degree of the Lagrangian finite elements: =1 (linear);
* =2 (parabolic); =3 (cubic).
* LXH number of hexagons.
* MAT mixture index assigned to each lozenge.
* SIDE side of a lozenge.
* NCODE type of boundary condition applied on each side (I=1: hbc):
* NCODE(I)=1: VOID; =2: REFL; =6: ALBE;
* =5: SYME; =7: ZERO.
* ICODE physical albedo index on each side of the domain.
* ZCODE albedo corresponding to boundary condition 'VOID' on each
* side (ZCODE(I)=0.0 by default).
*
*Parameters: output
* LL4 order of the system matrices.
* VOL volume of each lozenge.
* IDL position of the average flux component associated with each
* lozenge.
* IPERT mixture permutation index.
* KN ADI permutation indices for the volumes and currents.
* QFR element-ordered boundary conditions.
* IQFR element-ordered physical albedo indices.
* BFR element-ordered surface fractions.
* MU compressed storage mode indices.
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER MAXEV,NBLOS,IMPX,ISPLH,IELEM,LXH,MAT(3,ISPLH**2,LXH),
1 NCODE(4),ICODE(4),LL4,IDL(3,NBLOS),IPERT(NBLOS),
2 KN(NBLOS,4+6*IELEM*(IELEM+1)),IQFR(NBLOS,6),MU(MAXEV)
REAL SIDE,ZCODE(4),VOL(3,NBLOS),QFR(NBLOS,6),BFR(NBLOS,6)
*----
* LOCAL VARIABLES
*----
LOGICAL COND,LL1,LL2
INTEGER, DIMENSION(:),ALLOCATABLE :: IP,I1,I3,I4,I5
INTEGER, DIMENSION(:,:),ALLOCATABLE :: IZGLOB
INTEGER, DIMENSION(:,:,:),ALLOCATABLE :: IJP
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(IJP(LXH,ISPLH,ISPLH),IP(MAXEV),IZGLOB(NBLOS,3))
*----
* THOMAS-RAVIART-SCHNEIDER SPECIFIC NUMEROTATION
*----
NBC=INT((SQRT(REAL((4*LXH-1)/3))+1.)/2.)
IF(LXH.NE.1+3*NBC*(NBC-1)) CALL XABORT('BIVSFH: INVALID VALUE OF'
1 //' LXH(1).')
IF(ISPLH.EQ.1) THEN
DO 10 I=1,LXH
IJP(I,1,1)=I
10 CONTINUE
ELSE
I=0
DO 23 I0=1,2*NBC-1
JMAX=NBC+I0-1
IF(I0.GE.NBC) JMAX=3*NBC-I0-1
IKEEP=I
DO 22 J0=1,JMAX
I=I+1
DO 21 IM=1,ISPLH
DO 20 JM=1,ISPLH
IJP(I,IM,JM)=ISPLH*(IKEEP*ISPLH+(IM-1)*JMAX+J0-1)+JM
20 CONTINUE
21 CONTINUE
22 CONTINUE
23 CONTINUE
IF(I.NE.LXH) CALL XABORT('BIVSFH: INVALID VALUE OF LXH(2)')
ENDIF
ALLOCATE(I1(3*LXH),I3(2*LXH),I4(NBLOS),I5(NBLOS))
DO 30 I=1,LXH
I3(I)=I
I4(I)=0
IF(MAT(1,1,I).GT.0) I4(I)=I
30 CONTINUE
IZGLOB(:NBLOS,:3)=0
J1=2+3*(NBC-1)*(NBC-2)
IF(NBC.EQ.1) J1=1
J3=J1+2*NBC-2
J5=J3+2*NBC-2
CALL BIVPER(J1,1,LXH,LXH,I1(1),I3)
CALL BIVPER(J3,3,LXH,LXH,I1(LXH+1),I3)
CALL BIVPER(J5,5,LXH,LXH,I1(2*LXH+1),I3)
DO 42 I=1,LXH
IOFW=I1(I)
IOFX=I1(LXH+I)
IOFY=I1(2*LXH+I)
DO 41 IM=1,ISPLH
DO 40 JM=1,ISPLH
IZGLOB(IJP(IOFW,IM,JM),1)=I4(I)
IZGLOB(IJP(IOFX,IM,JM),2)=I4(I)
IZGLOB(IJP(IOFY,IM,JM),3)=I4(I)
40 CONTINUE
41 CONTINUE
42 CONTINUE
DO 50 I=1,LXH
II1=I1(I)
II2=I1(LXH+I)
II3=I1(2*LXH+I)
I3(II1)=II2
I3(LXH+II1)=II3
50 CONTINUE
*----
* COMPUTE THE FLUX PERMUTATION PART OF MATRIX KN (W <--> X)
*----
KN(:NBLOS,:4+6*IELEM*(IELEM+1))=0
LT4=0
DO 70 II2=1,NBLOS
I=IZGLOB(II2,1)
I4(II2)=0
IF(I.NE.0) THEN
LT4=LT4+1
I4(II2)=LT4
ENDIF
70 CONTINUE
LT4=0
DO 80 II2=1,NBLOS
I=IZGLOB(II2,2)
I5(II2)=0
IF(I.NE.0) THEN
LT4=LT4+1
I5(II2)=LT4
ENDIF
80 CONTINUE
IF(ISPLH.EQ.1) THEN
DO 90 I=1,LXH
IF(IZGLOB(I,1).EQ.0) GO TO 90
KN(I4(I),2)=I5(I3(I))+LT4
90 CONTINUE
ELSE
I=0
DO 105 I0=1,2*NBC-1
JMAX=NBC+I0-1
IF(I0.GE.NBC) JMAX=3*NBC-I0-1
IKEEP=I
DO 100 J0=1,JMAX
I=I+1
I1(I)=JMAX
I1(LXH+I)=IKEEP
I1(2*LXH+I)=J0
100 CONTINUE
105 CONTINUE
DO 120 I=1,LXH
JMAX=I1(I)
IKEEP=I1(LXH+I)
J00=I1(2*LXH+I)
KMAX=I1(I3(I))
JKEEP=I1(LXH+I3(I))
K0=I1(2*LXH+I3(I))
DO 115 IM=1,ISPLH
DO 110 JM=1,ISPLH
II1=ISPLH*(IKEEP*ISPLH+(IM-1)*JMAX+J00-1)+JM
II2=ISPLH*(JKEEP*ISPLH+(ISPLH-JM)*KMAX+K0-1)+IM
IF(IZGLOB(II1,1).EQ.0) GO TO 120
KN(I4(II1),2)=I5(II2)+LT4
110 CONTINUE
115 CONTINUE
120 CONTINUE
ENDIF
*----
* COMPUTE THE FLUX PERMUTATION PART OF MATRIX KN (X <--> Y)
*----
LT4=0
DO 130 II2=1,NBLOS
I=IZGLOB(II2,3)
I5(II2)=0
IF(I.NE.0) THEN
LT4=LT4+1
I5(II2)=LT4
ENDIF
130 CONTINUE
IF(ISPLH.EQ.1) THEN
DO 140 I=1,LXH
IF(IZGLOB(I,1).EQ.0) GO TO 140
KN(I4(I),3)=I5(I3(LXH+I))+2*LT4
140 CONTINUE
ELSE
I=0
DO 155 I0=1,2*NBC-1
JMAX=NBC+I0-1
IF(I0.GE.NBC) JMAX=3*NBC-I0-1
IKEEP=I
DO 150 J0=1,JMAX
I=I+1
I1(I)=JMAX
I1(LXH+I)=IKEEP
I1(2*LXH+I)=J0
150 CONTINUE
155 CONTINUE
DO 170 I=1,LXH
JMAX=I1(I)
IKEEP=I1(LXH+I)
J00=I1(2*LXH+I)
KMAX=I1(I3(LXH+I))
JKEEP=I1(LXH+I3(LXH+I))
K0=I1(2*LXH+I3(LXH+I))
DO 165 IM=1,ISPLH
DO 160 JM=1,ISPLH
II1=ISPLH*(IKEEP*ISPLH+(IM-1)*JMAX+J00-1)+JM
II2=ISPLH*(JKEEP*ISPLH+(ISPLH-IM)*KMAX+K0-1)+(ISPLH-JM+1)
IF(IZGLOB(II1,1).EQ.0) GO TO 170
KN(I4(II1),3)=I5(II2)+2*LT4
160 CONTINUE
165 CONTINUE
170 CONTINUE
ENDIF
*----
* COMPUTE THE FLUX PERMUTATION PART OF MATRIX KN (Y <--> W)
*----
IF(ISPLH.EQ.1) THEN
DO 180 I=1,LXH
IF(IZGLOB(I,1).EQ.0) GO TO 180
KN(I4(I),4)=I4(I)
180 CONTINUE
ELSE
I=0
DO 195 I0=1,2*NBC-1
JMAX=NBC+I0-1
IF(I0.GE.NBC) JMAX=3*NBC-I0-1
IKEEP=I
DO 190 J0=1,JMAX
I=I+1
I1(I)=JMAX
I1(LXH+I)=IKEEP
I1(2*LXH+I)=J0
190 CONTINUE
195 CONTINUE
DO 210 I=1,LXH
JMAX=I1(I)
IKEEP=I1(LXH+I)
J00=I1(2*LXH+I)
DO 205 IM=1,ISPLH
DO 200 JM=1,ISPLH
II1=ISPLH*(IKEEP*ISPLH+(IM-1)*JMAX+J00-1)+JM
II2=ISPLH*(IKEEP*ISPLH+(JM-1)*JMAX+J00-1)+(ISPLH-IM+1)
IF(IZGLOB(II1,1).EQ.0) GO TO 210
KN(I4(II1),4)=I4(II2)
200 CONTINUE
205 CONTINUE
210 CONTINUE
ENDIF
DEALLOCATE(I5,I4,I3,I1)
*----
* SET THE CURRENT NUMBERING PART OF MATRIX KN AND MATRIX QFR (W-AXIS)
*----
LL4W0=(2*NBLOS*IELEM+(2*NBC-1)*ISPLH)*IELEM
LL4F=3*LT4*IELEM*IELEM
QFR(:NBLOS,:6)=0.0
IQFR(:NBLOS,:6)=0
BFR(:NBLOS,:6)=0.0
ALBEDO=0.5*(1.0-ZCODE(1))/(1.0+ZCODE(1))
NELEM=IELEM*(IELEM+1)
NB1=(2*NBC*IELEM*ISPLH+1)*IELEM*ISPLH
KEL=0
NDDIR=LL4F
NUM=0
DO 290 JSTAGE=1,NBC
DO 282 JEL=1,ISPLH
DO 281 IRANG=1,NBC+JSTAGE-1
DO 280 IEL=1,ISPLH
KEL=KEL+1
IF(IZGLOB(KEL,1).EQ.0) GO TO 280
NUM=NUM+1
KN(NUM,1)=NUM
IF((IRANG.EQ.1).AND.(IEL.EQ.1)) THEN
LL1=.TRUE.
ELSE
LL1=(IZGLOB(KEL-1,1).EQ.0)
ENDIF
IF((IRANG.EQ.NBC+JSTAGE-1).AND.(IEL.EQ.ISPLH)) THEN
LL2=.TRUE.
ELSE
LL2=(IZGLOB(KEL+1,1).EQ.0)
ENDIF
LCOUR=0
DO 255 J=1,IELEM
DO 250 I=1,IELEM+1
LCOUR=LCOUR+1
ITEMP = NDDIR
> + (JEL-1)*(2*(NBC+JSTAGE-1)*IELEM*ISPLH+1)*IELEM
> + (IRANG-1)*(2*IELEM*ISPLH)
> + (IEL-1)*IELEM
> + (J-1)*(2*(NBC+JSTAGE-1)*IELEM*ISPLH+1) + I
IF(LCOUR.GT.NELEM) CALL XABORT('BIVSFH: bug1')
IF(KEL.GT.NBLOS) CALL XABORT('BIVSFH: bug2')
KN(NUM,4+LCOUR)=ITEMP
KN(NUM,4+NELEM+LCOUR)=ITEMP+IELEM*ISPLH
250 CONTINUE
255 CONTINUE
IF(LL1) THEN
COND=(NCODE(1).EQ.2).OR.((NCODE(1).EQ.1).AND.(ZCODE(1).EQ.1.0))
IF(COND) THEN
DO 260 I=1,IELEM
KN(NUM,4+(I-1)*(IELEM+1)+1)=0
260 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(NUM,1)=SIDE/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(NUM,1)=SIDE
IQFR(NUM,1)=ICODE(1)
ENDIF
IF((NCODE(1).EQ.1).OR.(NCODE(1).EQ.7)) BFR(NUM,1)=SIDE
ENDIF
IF(LL2) THEN
COND=(NCODE(1).EQ.2).OR.((NCODE(1).EQ.1).AND.(ZCODE(1).EQ.1.0))
IF(COND) THEN
DO 270 I=1,IELEM
KN(NUM,4+NELEM+I*(IELEM+1))=0
270 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(NUM,2)=SIDE/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(NUM,2)=SIDE
IQFR(NUM,2)=ICODE(1)
ENDIF
IF((NCODE(1).EQ.1).OR.(NCODE(1).EQ.7)) BFR(NUM,2)=SIDE
ENDIF
280 CONTINUE
281 CONTINUE
282 CONTINUE
NDDIR=NDDIR+NB1+(2*(JSTAGE-1)*IELEM*ISPLH)*IELEM*ISPLH
290 CONTINUE
*
DO 340 JSTAGE=NBC+1,2*NBC-1
DO 332 JEL=1,ISPLH
DO 331 IRANG=1,(2*NBC-2)-(JSTAGE-NBC-1)
DO 330 IEL=1,ISPLH
KEL=KEL+1
IF(IZGLOB(KEL,1).EQ.0) GO TO 330
NUM=NUM+1
KN(NUM,1)=NUM
IF((IRANG.EQ.1).AND.(IEL.EQ.1)) THEN
LL1=.TRUE.
ELSE
LL1=(IZGLOB(KEL-1,1).EQ.0)
ENDIF
IF((IRANG.EQ.(2*NBC-2)-(JSTAGE-NBC-1)).AND.(IEL.EQ.ISPLH)) THEN
LL2=.TRUE.
ELSE
LL2=(IZGLOB(KEL+1,1).EQ.0)
ENDIF
LCOUR=0
DO 305 J=1,IELEM
DO 300 I=1,IELEM+1
LCOUR=LCOUR+1
ITEMP = NDDIR
> + (JEL-1)*(2*(2*NBC-1+NBC-JSTAGE)*IELEM*ISPLH+1)*IELEM
> + (IRANG-1)*(2*IELEM*ISPLH)
> + (IEL-1)*IELEM
> + (J-1)*(2*(2*NBC-1+NBC-JSTAGE)*IELEM*ISPLH+1) + I
IF(LCOUR.GT.NELEM) CALL XABORT('BIVSFH: bug3')
IF(KEL.GT.NBLOS) CALL XABORT('BIVSFH: bug4')
KN(NUM,4+LCOUR)=ITEMP
KN(NUM,4+NELEM+LCOUR)=ITEMP+IELEM*ISPLH
300 CONTINUE
305 CONTINUE
IF(LL1) THEN
COND=(NCODE(1).EQ.2).OR.((NCODE(1).EQ.1).AND.(ZCODE(1).EQ.1.0))
IF(COND) THEN
DO 310 I=1,IELEM
KN(NUM,4+(I-1)*(IELEM+1)+1)=0
310 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(NUM,1)=SIDE/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(NUM,1)=SIDE
IQFR(NUM,1)=ICODE(1)
ENDIF
IF((NCODE(1).EQ.1).OR.(NCODE(1).EQ.7)) BFR(NUM,1)=SIDE
ENDIF
IF(LL2) THEN
COND=(NCODE(1).EQ.2).OR.((NCODE(1).EQ.1).AND.(ZCODE(1).EQ.1.0))
IF(COND) THEN
DO 320 I=1,IELEM
KN(NUM,4+NELEM+I*(IELEM+1))=0
320 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(NUM,2)=SIDE/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(NUM,2)=SIDE
IQFR(NUM,2)=ICODE(1)
ENDIF
IF((NCODE(1).EQ.1).OR.(NCODE(1).EQ.7)) BFR(NUM,2)=SIDE
ENDIF
330 CONTINUE
331 CONTINUE
332 CONTINUE
NDDIR=NDDIR+(2*(2*NBC-1)*IELEM*ISPLH+1)*IELEM*ISPLH
> -(2*(JSTAGE-NBC)*IELEM*ISPLH)*IELEM*ISPLH
340 CONTINUE
*----
* SET THE CURRENT NUMBERING PART OF MATRIX KN AND MATRIX QFR (X-AXIS)
*----
IP(:NBLOS)=0
DO 350 NUM=1,LT4
IP(KN(NUM,2)-LT4)=NUM
350 CONTINUE
KEL=0
NUM=0
DO 400 JSTAGE=1,NBC
DO 392 JEL=1,ISPLH
DO 391 IRANG=1,NBC+JSTAGE-1
DO 390 IEL=1,ISPLH
KEL=KEL+1
IF(IZGLOB(KEL,2).EQ.0) GO TO 390
NUM=NUM+1
IF((IRANG.EQ.1).AND.(IEL.EQ.1)) THEN
LL1=.TRUE.
ELSE
LL1=(IZGLOB(KEL-1,2).EQ.0)
ENDIF
IF((IRANG.EQ.NBC+JSTAGE-1).AND.(IEL.EQ.ISPLH)) THEN
LL2=.TRUE.
ELSE
LL2=(IZGLOB(KEL+1,2).EQ.0)
ENDIF
LCOUR=0
DO 365 J=1,IELEM
DO 360 I=1,IELEM+1
LCOUR=LCOUR+1
ITEMP = NDDIR
> + (JEL-1)*(2*(NBC+JSTAGE-1)*IELEM*ISPLH+1)*IELEM
> + (IRANG-1)*(2*IELEM*ISPLH)
> + (IEL-1)*IELEM
> + (J-1)*(2*(NBC+JSTAGE-1)*IELEM*ISPLH+1) + I
IF(LCOUR.GT.NELEM) CALL XABORT('BIVSFH: bug5')
IF(KEL.GT.NBLOS) CALL XABORT('BIVSFH: bug6')
KN(IP(NUM),4+2*NELEM+LCOUR)=ITEMP
KN(IP(NUM),4+3*NELEM+LCOUR)=ITEMP+IELEM*ISPLH
360 CONTINUE
365 CONTINUE
IF(LL1) THEN
COND=(NCODE(1).EQ.2).OR.((NCODE(1).EQ.1).AND.(ZCODE(1).EQ.1.0))
IF(COND) THEN
DO 370 I=1,IELEM
KN(IP(NUM),4+2*NELEM+(I-1)*(IELEM+1)+1)=0
370 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(IP(NUM),3)=SIDE/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(IP(NUM),3)=SIDE
IQFR(NUM,3)=ICODE(1)
ENDIF
IF((NCODE(1).EQ.1).OR.(NCODE(1).EQ.7)) BFR(NUM,3)=SIDE
ENDIF
IF(LL2) THEN
COND=(NCODE(1).EQ.2).OR.((NCODE(1).EQ.1).AND.(ZCODE(1).EQ.1.0))
IF(COND) THEN
DO 380 I=1,IELEM
KN(IP(NUM),4+3*NELEM+I*(IELEM+1))=0
380 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(IP(NUM),4)=SIDE/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(IP(NUM),4)=SIDE
IQFR(NUM,4)=ICODE(1)
ENDIF
IF((NCODE(1).EQ.1).OR.(NCODE(1).EQ.7)) BFR(NUM,4)=SIDE
ENDIF
390 CONTINUE
391 CONTINUE
392 CONTINUE
NDDIR=NDDIR+NB1+(2*(JSTAGE-1)*IELEM*ISPLH)*IELEM*ISPLH
400 CONTINUE
*
DO 450 JSTAGE=NBC+1,2*NBC-1
DO 442 JEL=1,ISPLH
DO 441 IRANG=1,(2*NBC-2)-(JSTAGE-NBC-1)
DO 440 IEL=1,ISPLH
KEL=KEL+1
IF(IZGLOB(KEL,2).EQ.0) GO TO 440
NUM=NUM+1
IF((IRANG.EQ.1).AND.(IEL.EQ.1)) THEN
LL1=.TRUE.
ELSE
LL1=(IZGLOB(KEL-1,2).EQ.0)
ENDIF
IF((IRANG.EQ.(2*NBC-2)-(JSTAGE-NBC-1)).AND.(IEL.EQ.ISPLH)) THEN
LL2=.TRUE.
ELSE
LL2=(IZGLOB(KEL+1,2).EQ.0)
ENDIF
LCOUR=0
DO 415 J=1,IELEM
DO 410 I=1,IELEM+1
LCOUR=LCOUR+1
ITEMP = NDDIR
> + (JEL-1)*(2*(2*NBC-1+NBC-JSTAGE)*IELEM*ISPLH+1)*IELEM
> + (IRANG-1)*(2*IELEM*ISPLH)
> + (IEL-1)*IELEM
> + (J-1)*(2*(2*NBC-1+NBC-JSTAGE)*IELEM*ISPLH+1) + I
IF(LCOUR.GT.NELEM) CALL XABORT('BIVSFH: bug7')
IF(KEL.GT.NBLOS) CALL XABORT('BIVSFH: bug8')
KN(IP(NUM),4+2*NELEM+LCOUR)=ITEMP
KN(IP(NUM),4+3*NELEM+LCOUR)=ITEMP+IELEM*ISPLH
410 CONTINUE
415 CONTINUE
IF(LL1) THEN
COND=(NCODE(1).EQ.2).OR.((NCODE(1).EQ.1).AND.(ZCODE(1).EQ.1.0))
IF(COND) THEN
DO 420 I=1,IELEM
KN(IP(NUM),4+2*NELEM+(I-1)*(IELEM+1)+1)=0
420 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(IP(NUM),3)=SIDE/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(IP(NUM),3)=SIDE
IQFR(NUM,3)=ICODE(1)
ENDIF
IF((NCODE(1).EQ.1).OR.(NCODE(1).EQ.7)) BFR(NUM,3)=SIDE
ENDIF
IF(LL2) THEN
COND=(NCODE(1).EQ.2).OR.((NCODE(1).EQ.1).AND.(ZCODE(1).EQ.1.0))
IF(COND) THEN
DO 430 I=1,IELEM
KN(IP(NUM),4+3*NELEM+I*(IELEM+1))=0
430 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(IP(NUM),4)=SIDE/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(IP(NUM),4)=SIDE
IQFR(NUM,4)=ICODE(1)
ENDIF
IF((NCODE(1).EQ.1).OR.(NCODE(1).EQ.7)) BFR(NUM,4)=SIDE
ENDIF
440 CONTINUE
441 CONTINUE
442 CONTINUE
NDDIR=NDDIR+(2*(2*NBC-1)*IELEM*ISPLH+1)*IELEM*ISPLH
> -(2*(JSTAGE-NBC)*IELEM*ISPLH)*IELEM*ISPLH
450 CONTINUE
*----
* SET THE CURRENT NUMBERING PART OF MATRIX KN AND MATRIX QFR (Y-AXIS)
*----
IP(:NBLOS)=0
DO 460 NUM=1,LT4
IP(KN(NUM,3)-2*LT4)=NUM
460 CONTINUE
KEL=0
NUM=0
DO 510 JSTAGE=1,NBC
DO 502 JEL=1,ISPLH
DO 501 IRANG=1,NBC+JSTAGE-1
DO 500 IEL=1,ISPLH
KEL=KEL+1
IF(IZGLOB(KEL,3).EQ.0) GO TO 500
NUM=NUM+1
IF((IRANG.EQ.1).AND.(IEL.EQ.1)) THEN
LL1=.TRUE.
ELSE
LL1=(IZGLOB(KEL-1,3).EQ.0)
ENDIF
IF((IRANG.EQ.NBC+JSTAGE-1).AND.(IEL.EQ.ISPLH)) THEN
LL2=.TRUE.
ELSE
LL2=(IZGLOB(KEL+1,3).EQ.0)
ENDIF
LCOUR=0
DO 475 J=1,IELEM
DO 470 I=1,IELEM+1
LCOUR=LCOUR+1
ITEMP = NDDIR
> + (JEL-1)*(2*(NBC+JSTAGE-1)*IELEM*ISPLH+1)*IELEM
> + (IRANG-1)*(2*IELEM*ISPLH)
> + (IEL-1)*IELEM
> + (J-1)*(2*(NBC+JSTAGE-1)*IELEM*ISPLH+1) + I
IF(LCOUR.GT.NELEM) CALL XABORT('BIVSFH: bug9')
IF(KEL.GT.NBLOS) CALL XABORT('BIVSFH: bug10')
KN(IP(NUM),4+4*NELEM+LCOUR)=ITEMP
KN(IP(NUM),4+5*NELEM+LCOUR)=ITEMP+IELEM*ISPLH
470 CONTINUE
475 CONTINUE
IF(LL1) THEN
COND=(NCODE(1).EQ.2).OR.((NCODE(1).EQ.1).AND.(ZCODE(1).EQ.1.0))
IF(COND) THEN
DO 480 I=1,IELEM
KN(IP(NUM),4+4*NELEM+(I-1)*(IELEM+1)+1)=0
480 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(IP(NUM),5)=SIDE/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(IP(NUM),5)=SIDE
IQFR(NUM,5)=ICODE(1)
ENDIF
IF((NCODE(1).EQ.1).OR.(NCODE(1).EQ.7)) BFR(NUM,5)=SIDE
ENDIF
IF(LL2) THEN
COND=(NCODE(1).EQ.2).OR.((NCODE(1).EQ.1).AND.(ZCODE(1).EQ.1.0))
IF(COND) THEN
DO 490 I=1,IELEM
KN(IP(NUM),4+5*NELEM+I*(IELEM+1))=0
490 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(IP(NUM),6)=SIDE/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(IP(NUM),6)=SIDE
IQFR(NUM,6)=ICODE(1)
ENDIF
IF((NCODE(1).EQ.1).OR.(NCODE(1).EQ.7)) BFR(NUM,6)=SIDE
ENDIF
500 CONTINUE
501 CONTINUE
502 CONTINUE
NDDIR=NDDIR+NB1+(2*(JSTAGE-1)*IELEM*ISPLH)*IELEM*ISPLH
510 CONTINUE
*
DO 560 JSTAGE=NBC+1,2*NBC-1
DO 552 JEL=1,ISPLH
DO 551 IRANG=1,(2*NBC-2)-(JSTAGE-NBC-1)
DO 550 IEL=1,ISPLH
KEL=KEL+1
IF(IZGLOB(KEL,3).EQ.0) GO TO 550
NUM=NUM+1
IF((IRANG.EQ.1).AND.(IEL.EQ.1)) THEN
LL1=.TRUE.
ELSE
LL1=(IZGLOB(KEL-1,3).EQ.0)
ENDIF
IF((IRANG.EQ.(2*NBC-2)-(JSTAGE-NBC-1)).AND.(IEL.EQ.ISPLH)) THEN
LL2=.TRUE.
ELSE
LL2=(IZGLOB(KEL+1,3).EQ.0)
ENDIF
LCOUR=0
DO 525 J=1,IELEM
DO 520 I=1,IELEM+1
LCOUR=LCOUR+1
ITEMP = NDDIR
> + (JEL-1)*(2*(2*NBC-1+NBC-JSTAGE)*IELEM*ISPLH+1)*IELEM
> + (IRANG-1)*(2*IELEM*ISPLH)
> + (IEL-1)*IELEM
> + (J-1)*(2*(2*NBC-1+NBC-JSTAGE)*IELEM*ISPLH+1) + I
IF(LCOUR.GT.NELEM) CALL XABORT('BIVSFH: bug11')
IF(KEL.GT.NBLOS) CALL XABORT('BIVSFH: bug12')
KN(IP(NUM),4+4*NELEM+LCOUR)=ITEMP
KN(IP(NUM),4+5*NELEM+LCOUR)=ITEMP+IELEM*ISPLH
520 CONTINUE
525 CONTINUE
IF(LL1) THEN
COND=(NCODE(1).EQ.2).OR.((NCODE(1).EQ.1).AND.(ZCODE(1).EQ.1.0))
IF(COND) THEN
DO 530 I=1,IELEM
KN(IP(NUM),4+4*NELEM+(I-1)*(IELEM+1)+1)=0
530 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(IP(NUM),5)=SIDE/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(IP(NUM),5)=SIDE
IQFR(NUM,5)=ICODE(1)
ENDIF
IF((NCODE(1).EQ.1).OR.(NCODE(1).EQ.7)) BFR(NUM,5)=SIDE
ENDIF
IF(LL2) THEN
COND=(NCODE(1).EQ.2).OR.((NCODE(1).EQ.1).AND.(ZCODE(1).EQ.1.0))
IF(COND) THEN
DO 540 I=1,IELEM
KN(IP(NUM),4+5*NELEM+I*(IELEM+1))=0
540 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(IP(NUM),6)=SIDE/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(IP(NUM),6)=SIDE
IQFR(NUM,6)=ICODE(1)
ENDIF
IF((NCODE(1).EQ.1).OR.(NCODE(1).EQ.7)) BFR(NUM,6)=SIDE
ENDIF
550 CONTINUE
551 CONTINUE
552 CONTINUE
NDDIR=NDDIR+(2*(2*NBC-1)*IELEM*ISPLH+1)*IELEM*ISPLH
> -(2*(JSTAGE-NBC)*IELEM*ISPLH)*IELEM*ISPLH
560 CONTINUE
*----
* COMPUTE THE SURFACE FRACTIONS
*----
SURFTOT=0.0
DO 566 I=1,NBLOS
DO 565 J=1,6
SURFTOT=SURFTOT+BFR(I,J)
565 CONTINUE
566 CONTINUE
IF(SURFTOT.GT.0.0) THEN
DO 575 I=1,NBLOS
DO 570 J=1,6
BFR(I,J)=BFR(I,J)/SURFTOT
570 CONTINUE
575 CONTINUE
ENDIF
*----
* REORDER THE UNKNOWNS AND REMOVE THE UNUSED UNKNOWNS INDICES FROM KN
*----
IP(:LL4F+3*LL4W0)=0
LL4=0
DO 591 KEL=1,LT4
DO 582 IFLUX=1,4
NUM=KN(KEL,IFLUX)
DO 581 K2=1,IELEM
DO 580 K1=1,IELEM
JND1=(NUM-1)*IELEM**2+(K2-1)*IELEM+K1
IF(JND1.GT.MAXEV) CALL XABORT('BIVSFH: MAXEV OVERFLOW(1).')
IF(IP(JND1).EQ.0) THEN
LL4=LL4+1
IP(JND1)=LL4
ENDIF
580 CONTINUE
581 CONTINUE
582 CONTINUE
DO 590 ICOUR=1,6*NELEM
IND=ABS(KN(KEL,4+ICOUR))
IF(IND.GT.MAXEV) CALL XABORT('BIVSFH: MAXEV OVERFLOW(2).')
IF(IND.NE.0) THEN
IF(IP(IND).EQ.0) THEN
LL4=LL4+1
IP(IND)=LL4
ENDIF
ENDIF
590 CONTINUE
591 CONTINUE
DO 605 KEL=1,LT4
DO 595 IFLUX=1,4
NUM=KN(KEL,IFLUX)
KN(KEL,IFLUX)=IP((NUM-1)*IELEM**2+1)
595 CONTINUE
DO 600 ICOUR=1,6*NELEM
IF(KN(KEL,4+ICOUR).NE.0) THEN
IND=KN(KEL,4+ICOUR)
KN(KEL,4+ICOUR)=SIGN(IP(ABS(IND)),IND)
ENDIF
600 CONTINUE
605 CONTINUE
*----
* PRINT A FEW GEOMETRY CHARACTERISTICS
*----
IF(IMPX.GT.0) THEN
write(6,*) ' '
write(6,*) 'ISPLH =',ISPLH
write(6,*) 'IELEM =',IELEM
write(6,*) 'NELEM =',NELEM
write(6,*) 'NBLOS =',NBLOS
write(6,*) 'LL4F =',LL4F
write(6,*) 'LL4 =',LL4
write(6,*) 'NBC =',NBC
ENDIF
*----
* SET IPERT
*----
KEL=0
DO 613 JSTAGE=1,NBC
DO 612 JEL=1,ISPLH
DO 611 IRANG=1,NBC+JSTAGE-1
DO 610 IEL=1,ISPLH
KEL=KEL+1
IHEX=IZGLOB(KEL,1)
IF(IHEX.EQ.0) THEN
IPERT(KEL)=0
ELSE
IPERT(KEL)=(IHEX-1)*ISPLH**2+(IEL-1)*ISPLH+JEL
ENDIF
610 CONTINUE
611 CONTINUE
612 CONTINUE
613 CONTINUE
DO 623 JSTAGE=NBC+1,2*NBC-1
DO 622 JEL=1,ISPLH
DO 621 IRANG=1,(2*NBC-2)-(JSTAGE-NBC-1)
DO 620 IEL=1,ISPLH
KEL=KEL+1
IHEX=IZGLOB(KEL,1)
IF(IHEX.EQ.0) THEN
IPERT(KEL)=0
ELSE
IPERT(KEL)=(IHEX-1)*ISPLH**2+(IEL-1)*ISPLH+JEL
ENDIF
620 CONTINUE
621 CONTINUE
622 CONTINUE
623 CONTINUE
IF(KEL.NE.NBLOS) CALL XABORT('BIVSFH: IPERT FAILURE.')
*----
* SET IDL AND VOL
*----
NUM=0
IDL(:3,:NBLOS)=0
VOL(:3,:NBLOS)=0.0
DO 630 KEL=1,NBLOS
KEL2=IPERT(KEL)
IF(KEL2.EQ.0) GO TO 630
NUM=NUM+1
IDL(:3,KEL2)=KN(NUM,:3)
VOL(:3,KEL2)=2.59807587*SIDE*SIDE/REAL(3)
630 CONTINUE
IF(IMPX.GT.2) THEN
WRITE(6,800) 'MAT',(((MAT(I,J,K),I=1,3),J=1,ISPLH**2),K=1,LXH)
WRITE(6,800) 'IDL',((IDL(I,J),I=1,3),J=1,NBLOS)
WRITE(6,810) 'VOL',((VOL(I,J),I=1,3),J=1,NBLOS)
ENDIF
*----
* COMPUTE THE SYSTEM MATRIX BANDWIDTH.
*----
MU(:LL4)=1
NUM=0
DO 690 KEL=1,NBLOS
IF(IZGLOB(KEL,1).EQ.0) GO TO 690
NUM=NUM+1
DO 663 K4=0,1
DO 662 K3=0,IELEM-1
DO 661 K2=1,IELEM+1
INW1=ABS(KN(NUM,4+K4*NELEM+K3*(IELEM+1)+K2))
INX1=ABS(KN(NUM,4+(K4+2)*NELEM+K3*(IELEM+1)+K2))
INY1=ABS(KN(NUM,4+(K4+4)*NELEM+K3*(IELEM+1)+K2))
DO 650 K1=1,IELEM+1
INW2=ABS(KN(NUM,4+K4*NELEM+K3*(IELEM+1)+K1))
INX2=ABS(KN(NUM,4+(K4+2)*NELEM+K3*(IELEM+1)+K1))
INY2=ABS(KN(NUM,4+(K4+4)*NELEM+K3*(IELEM+1)+K1))
IF((INW2.NE.0).AND.(INW1.NE.0)) THEN
MU(INW1)=MAX(MU(INW1),INW1-INW2+1)
MU(INW2)=MAX(MU(INW2),INW2-INW1+1)
ENDIF
IF((INX2.NE.0).AND.(INX1.NE.0)) THEN
MU(INX1)=MAX(MU(INX1),INX1-INX2+1)
MU(INX2)=MAX(MU(INX2),INX2-INX1+1)
ENDIF
IF((INY2.NE.0).AND.(INY1.NE.0)) THEN
MU(INY1)=MAX(MU(INY1),INY1-INY2+1)
MU(INY2)=MAX(MU(INY2),INY2-INY1+1)
ENDIF
650 CONTINUE
DO 660 K1=0,IELEM-1
IF(K4.EQ.0) THEN
JND1=KN(NUM,1)+K3*IELEM+K1
JND2=KN(NUM,2)+K3*IELEM+K1
JND3=KN(NUM,3)+K3*IELEM+K1
ELSE
JND1=KN(NUM,2)+K1*IELEM+K3
JND2=KN(NUM,3)+K1*IELEM+K3
JND3=KN(NUM,4)+K1*IELEM+K3
ENDIF
IF(INW1.NE.0) THEN
MU(JND1)=MAX(MU(JND1),JND1-INW1+1)
MU(INW1)=MAX(MU(INW1),INW1-JND1+1)
ENDIF
IF(INX1.NE.0) THEN
MU(JND2)=MAX(MU(JND2),JND2-INX1+1)
MU(INX1)=MAX(MU(INX1),INX1-JND2+1)
ENDIF
IF(INY1.NE.0) THEN
MU(JND3)=MAX(MU(JND3),JND3-INY1+1)
MU(INY1)=MAX(MU(INY1),INY1-JND3+1)
ENDIF
660 CONTINUE
661 CONTINUE
662 CONTINUE
663 CONTINUE
ITRS=0
DO I=1,LT4
IF(KN(I,1).EQ.KN(NUM,4)) THEN
ITRS=I
GO TO 670
ENDIF
ENDDO
CALL XABORT('BIVSFH: ITRS FAILURE.')
670 DO 685 I=1,NELEM
INW1=ABS(KN(ITRS,4+I))
INX1=ABS(KN(NUM,4+2*NELEM+I))
INY1=ABS(KN(NUM,4+4*NELEM+I))
DO 680 J=1,NELEM
INW2=ABS(KN(NUM,4+NELEM+J))
INX2=ABS(KN(NUM,4+3*NELEM+J))
INY2=ABS(KN(NUM,4+5*NELEM+J))
IF((INY2.NE.0).AND.(INW1.NE.0)) THEN
MU(INW1)=MAX(MU(INW1),INW1-INY2+1)
MU(INY2)=MAX(MU(INY2),INY2-INW1+1)
ENDIF
IF((INW2.NE.0).AND.(INX1.NE.0)) THEN
MU(INX1)=MAX(MU(INX1),INX1-INW2+1)
MU(INW2)=MAX(MU(INW2),INW2-INX1+1)
ENDIF
IF((INX2.NE.0).AND.(INY1.NE.0)) THEN
MU(INY1)=MAX(MU(INY1),INY1-INX2+1)
MU(INX2)=MAX(MU(INX2),INX2-INY1+1)
ENDIF
680 CONTINUE
685 CONTINUE
690 CONTINUE
MUMAX=0
IIMAX=0
DO 700 I=1,LL4
MUMAX=MAX(MUMAX,MU(I))
IIMAX=IIMAX+MU(I)
MU(I)=IIMAX
700 CONTINUE
*
IF(IMPX.GT.0) WRITE(6,820) LL4
IF(IMPX.GT.2) THEN
WRITE (6,830) MUMAX,IIMAX
WRITE (6,840)
DO 710 K=1,LXH*ISPLH**2
WRITE (6,850) K,(IZGLOB(K,I),I=1,3)
710 CONTINUE
WRITE (6,860)
DO 720 K=1,LT4
WRITE (6,870) K,(KN(K,I),I=1,4+2*NELEM)
WRITE (6,880) 'X',(KN(K,I),I=4+2*NELEM+1,4+4*NELEM)
WRITE (6,880) 'Y',(KN(K,I),I=4+4*NELEM+1,4+6*NELEM)
720 CONTINUE
WRITE (6,890)
DO 730 K=1,LXH*ISPLH**2
WRITE (6,900) K,(QFR(K,I),I=1,6)
730 CONTINUE
ENDIF
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(IZGLOB,IJP,IP)
RETURN
*
800 FORMAT(1X,A3/14(2X,I6))
810 FORMAT(1X,A3/7(2X,E12.5))
820 FORMAT(31H NUMBER OF UNKNOWNS PER GROUP =,I6)
830 FORMAT(/41H BIVSFH: MAXIMUM BANDWIDTH FOR MATRICES =,I6/9X,
1 51HNUMBER OF TERMS IN THE COMPRESSED SYSTEM MATRICES =,I10)
840 FORMAT(/22H NUMBERING OF HEXAGONS/1X,21(1H-)//8H ELEMENT,4X,
1 24H W ----- X ----- Y -----)
850 FORMAT(1X,I6,5X,3I8)
860 FORMAT(/22H NUMBERING OF UNKNOWNS/1X,21(1H-)//8H ELEMENT,5X,
1 27H---> W ---> X ---> Y ---> W,4X,8HCURRENTS,89(1H.))
870 FORMAT(1X,I6,5X,4I7,4X,1HW,12I8:/(45X,12I8))
880 FORMAT(44X,A1,12I8:/(45X,12I8))
890 FORMAT(/8H ELEMENT,3X,23HVOID BOUNDARY CONDITION/15X,7(1H-),
1 3H W ,7(1H-),3X,7(1H-),3H X ,7(1H-),3X,7(1H-),3H Y ,7(1H-))
900 FORMAT(1X,I6,5X,1P,10E10.1/(12X,1P,10E10.1))
END
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