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|
*DECK TRISFH
SUBROUTINE TRISFH (IMPX,MAXKN,MAXIP,NBLOS,ISPLH,IELEM,LXH,LZ,MAT,
1 SIDE,ZZZ,NCODE,ICODE,ZCODE,LL4,LL4F,LL4W,LL4X,LL4Y,LL4Z,VOL,
2 IDL,IPERT,ZZ,FRZ,KN,QFR,IQFR)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Numbering corresponding to a Thomas-Raviart-Schneider finite element
* discretization of a 3-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
* IMPX print parameter.
* MAXKN number of components in KN.
* MAXIP maximum number of currents
* NBLOS number of lozenges per direction in 3D with mesh-splitting.
* 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 in a plane.
* LZ number of axial planes.
* MAT mixture index assigned to each lozenge.
* SIDE side of a lozenge.
* ZZZ Z-coordinates of the axial planes.
* 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.
* LL4F number of flux unknowns.
* LL4W number of W-directed currents
* LL4X number of X-directed currents
* LL4Y number of Y-directed currents
* LL4Z number of Z-directed currents
* ZZ Z-sides of each hexagon.
* FRZ volume fractions for the axial SYME boundary condition.
* 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.
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER IMPX,MAXKN,MAXIP,NBLOS,ISPLH,IELEM,LXH,LZ,
1 MAT(3,ISPLH**2,LXH*LZ),NCODE(6),ICODE(6),LL4,LL4F,LL4W,LL4X,
2 LL4Y,LL4Z,IDL(3,NBLOS),IPERT(NBLOS),KN(NBLOS,MAXKN/NBLOS),
3 IQFR(NBLOS,8)
REAL SIDE,ZZZ(LZ+1),ZCODE(6),VOL(3,NBLOS),ZZ(3,NBLOS),
1 FRZ(NBLOS),QFR(NBLOS,8)
*----
* LOCAL VARIABLES
*----
LOGICAL COND,LL1,LL2
INTEGER, DIMENSION(:,:,:), ALLOCATABLE :: IJP
INTEGER, DIMENSION(:,:), ALLOCATABLE :: IZGLOB
INTEGER, DIMENSION(:), ALLOCATABLE :: IP,I1,I3,I4,I5
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(IJP(LXH,ISPLH,ISPLH),IP(MAXIP),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('TRISFH: 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('TRISFH: INVALID VALUE OF LXH(2)')
ENDIF
ALLOCATE(I1(3*LXH),I3(2*LXH),I4(NBLOS),I5(NBLOS))
DO 25 I=1,LXH
I3(I)=I
25 CONTINUE
DO 30 I=1,LXH*LZ
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)
I=0
DO 43 IZ=1,LZ
DO 42 IX=1,LXH
I=I+1
IOFW=I1(IX)
IOFX=I1(LXH+IX)
IOFY=I1(2*LXH+IX)
DO 41 IM=1,ISPLH
DO 40 JM=1,ISPLH
IZGLOB((IZ-1)*LXH*ISPLH**2+IJP(IOFW,IM,JM),1)=I4(I)
IZGLOB((IZ-1)*LXH*ISPLH**2+IJP(IOFX,IM,JM),2)=I4(I)
IZGLOB((IZ-1)*LXH*ISPLH**2+IJP(IOFY,IM,JM),3)=I4(I)
40 CONTINUE
41 CONTINUE
42 CONTINUE
43 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,:3+6*IELEM*IELEM*(IELEM+2))=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
I=0
DO 95 IZ=1,LZ
DO 90 IX=1,LXH
I=I+1
IF(IZGLOB(I,1).EQ.0) GO TO 90
IOF=(IZ-1)*LXH+I3(IX)
KN(I4(I),1)=I5(IOF)+LT4
90 CONTINUE
95 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 125 IZ=1,LZ
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
IOF1=(IZ-1)*LXH*ISPLH**2+II1
IF(IZGLOB(IOF1,1).EQ.0) GO TO 120
II2=ISPLH*(JKEEP*ISPLH+(ISPLH-JM)*KMAX+K0-1)+IM
IOF2=(IZ-1)*LXH*ISPLH**2+II2
KN(I4(IOF1),1)=I5(IOF2)+LT4
110 CONTINUE
115 CONTINUE
120 CONTINUE
125 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
I=0
DO 145 IZ=1,LZ
DO 140 IX=1,LXH
I=I+1
IF(IZGLOB(I,1).EQ.0) GO TO 140
IOF=(IZ-1)*LXH+I3(LXH+IX)
KN(I4(I),2)=I5(IOF)+2*LT4
140 CONTINUE
145 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 175 IZ=1,LZ
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
IOF1=(IZ-1)*LXH*ISPLH**2+II1
IF(IZGLOB(IOF1,1).EQ.0) GO TO 170
II2=ISPLH*(JKEEP*ISPLH+(ISPLH-IM)*KMAX+K0-1)+(ISPLH-JM+1)
IOF2=(IZ-1)*LXH*ISPLH**2+II2
KN(I4(IOF1),2)=I5(IOF2)+2*LT4
160 CONTINUE
165 CONTINUE
170 CONTINUE
175 CONTINUE
ENDIF
*----
* COMPUTE THE FLUX PERMUTATION PART OF MATRIX KN (Y <--> W)
*----
IF(ISPLH.EQ.1) THEN
DO 180 I=1,LXH*LZ
IF(IZGLOB(I,1).EQ.0) GO TO 180
KN(I4(I),3)=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 215 IZ=1,LZ
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
IOF1=(IZ-1)*LXH*ISPLH**2+II1
IF(IZGLOB(IOF1,1).EQ.0) GO TO 210
II2=ISPLH*(IKEEP*ISPLH+(JM-1)*JMAX+J00-1)+(ISPLH-IM+1)
IOF2=(IZ-1)*LXH*ISPLH**2+II2
KN(I4(IOF1),3)=I4(IOF2)
200 CONTINUE
205 CONTINUE
210 CONTINUE
215 CONTINUE
ENDIF
DEALLOCATE(I5,I4,I3,I1)
*----
* SET THE CURRENT NUMBERING PART OF MATRIX KN AND MATRIX QFR (W-AXIS)
*----
LL4W0=(2*LXH*ISPLH*IELEM+2*NBC-1)*ISPLH*LZ*IELEM**2
LL4Z0=3*LXH*(LZ+1)*(ISPLH**2)*IELEM**2
LL4F=3*LT4*IELEM**3
QFR(:NBLOS,:8)=0.0
IQFR(:NBLOS,:8)=0
ALBEDO=0.5*(1.0-ZCODE(1))/(1.0+ZCODE(1))
NELEH=(IELEM+1)*IELEM**2
NELEZ=6*IELEM**2
NB1=2*NBC*ISPLH*IELEM+1
NB2=2*(2*NBC-1)*ISPLH*IELEM+1
KEL=0
NDDIR=0
NUM=0
DO 345 IZ=1,LZ
FRACT=1.0
IF((NCODE(5).EQ.5).AND.(IZ.EQ.1)) FRACT=0.5
IF((NCODE(6).EQ.5).AND.(IZ.EQ.LZ)) FRACT=0.5
DZZ=ZZZ(IZ+1)-ZZZ(IZ)
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
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**2
DO 250 I=1,IELEM+1
LCOUR=LCOUR+1
ITEMP = NDDIR
> + (JEL-1)*(2*(NBC+JSTAGE-1)*IELEM*ISPLH+1)*IELEM**2
> + (IRANG-1)*(2*IELEM*ISPLH)
> + (IEL-1)*IELEM
> + (J-1)*(2*(NBC+JSTAGE-1)*IELEM*ISPLH+1) + I
IF(LCOUR.GT.NELEH) CALL XABORT('TRISFH: BUG1')
IF(KEL.GT.NBLOS) CALL XABORT('TRISFH: BUG2')
KN(NUM,3+LCOUR)=ITEMP
KN(NUM,3+NELEH+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**2
KN(NUM,3+(I-1)*(IELEM+1)+1)=0
260 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(NUM,1)=SIDE*DZZ*FRACT/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(NUM,1)=SIDE*DZZ*FRACT
IQFR(NUM,1)=ICODE(1)
ENDIF
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**2
KN(NUM,3+NELEH+I*(IELEM+1))=0
270 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(NUM,2)=SIDE*DZZ*FRACT/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(NUM,2)=SIDE*DZZ*FRACT
IQFR(NUM,1)=ICODE(1)
ENDIF
ENDIF
280 CONTINUE
281 CONTINUE
282 CONTINUE
NDDIR=NDDIR+(NB1+2*(JSTAGE-1)*ISPLH*IELEM)*ISPLH*IELEM**2
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
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**2
DO 300 I=1,IELEM+1
LCOUR=LCOUR+1
ITEMP = NDDIR
> + (JEL-1)*(2*(2*NBC-1+NBC-JSTAGE)*IELEM*ISPLH+1)*IELEM**2
> + (IRANG-1)*(2*IELEM*ISPLH)
> + (IEL-1)*IELEM
> + (J-1)*(2*(2*NBC-1+NBC-JSTAGE)*IELEM*ISPLH+1) + I
IF(LCOUR.GT.NELEH) CALL XABORT('TRISFH: BUG3')
IF(KEL.GT.NBLOS) CALL XABORT('TRISFH: BUG4')
KN(NUM,3+LCOUR)=ITEMP
KN(NUM,3+NELEH+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**2
KN(NUM,3+(I-1)*(IELEM+1)+1)=0
310 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(NUM,1)=SIDE*DZZ*FRACT/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(NUM,1)=SIDE*DZZ*FRACT
IQFR(NUM,1)=ICODE(1)
ENDIF
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**2
KN(NUM,3+NELEH+I*(IELEM+1))=0
320 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(NUM,2)=SIDE*DZZ*FRACT/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(NUM,2)=SIDE*DZZ*FRACT
IQFR(NUM,2)=ICODE(1)
ENDIF
ENDIF
330 CONTINUE
331 CONTINUE
332 CONTINUE
NDDIR=NDDIR+(NB2-2*(JSTAGE-NBC)*ISPLH*IELEM)*ISPLH*IELEM**2
340 CONTINUE
345 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,1)-LT4)=NUM
350 CONTINUE
KEL=0
NUM=0
DO 455 IZ=1,LZ
FRACT=1.0
IF((NCODE(5).EQ.5).AND.(IZ.EQ.1)) FRACT=0.5
IF((NCODE(6).EQ.5).AND.(IZ.EQ.LZ)) FRACT=0.5
DZZ=ZZZ(IZ+1)-ZZZ(IZ)
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**2
DO 360 I=1,IELEM+1
LCOUR=LCOUR+1
ITEMP = NDDIR
> + (JEL-1)*(2*(NBC+JSTAGE-1)*IELEM*ISPLH+1)*IELEM**2
> + (IRANG-1)*(2*IELEM*ISPLH)
> + (IEL-1)*IELEM
> + (J-1)*(2*(NBC+JSTAGE-1)*IELEM*ISPLH+1) + I
IF(LCOUR.GT.NELEH) CALL XABORT('TRISFH: BUG5')
IF(KEL.GT.NBLOS) CALL XABORT('TRISFH: BUG6')
KN(IP(NUM),3+2*NELEH+LCOUR)=ITEMP
KN(IP(NUM),3+3*NELEH+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**2
KN(IP(NUM),3+2*NELEH+(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*DZZ*FRACT/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(IP(NUM),3)=SIDE*DZZ*FRACT
IQFR(IP(NUM),3)=ICODE(1)
ENDIF
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**2
KN(IP(NUM),3+3*NELEH+I*(IELEM+1))=0
380 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(IP(NUM),4)=SIDE*DZZ*FRACT/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(IP(NUM),4)=SIDE*DZZ*FRACT
IQFR(IP(NUM),4)=ICODE(1)
ENDIF
ENDIF
390 CONTINUE
391 CONTINUE
392 CONTINUE
NDDIR=NDDIR+(NB1+2*(JSTAGE-1)*ISPLH*IELEM)*ISPLH*IELEM**2
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**2
DO 410 I=1,IELEM+1
LCOUR=LCOUR+1
ITEMP = NDDIR
> + (JEL-1)*(2*(2*NBC-1+NBC-JSTAGE)*IELEM*ISPLH+1)*IELEM**2
> + (IRANG-1)*(2*IELEM*ISPLH)
> + (IEL-1)*IELEM
> + (J-1)*(2*(2*NBC-1+NBC-JSTAGE)*IELEM*ISPLH+1) + I
IF(LCOUR.GT.NELEH) CALL XABORT('TRISFH: BUG7')
IF(KEL.GT.NBLOS) CALL XABORT('TRISFH: BUG8')
KN(IP(NUM),3+2*NELEH+LCOUR)=ITEMP
KN(IP(NUM),3+3*NELEH+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**2
KN(IP(NUM),3+2*NELEH+(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*DZZ*FRACT/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(IP(NUM),3)=SIDE*DZZ*FRACT
IQFR(IP(NUM),3)=ICODE(1)
ENDIF
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**2
KN(IP(NUM),3+3*NELEH+I*(IELEM+1))=0
430 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(IP(NUM),4)=SIDE*DZZ*FRACT/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(IP(NUM),4)=SIDE*DZZ*FRACT
IQFR(IP(NUM),4)=ICODE(1)
ENDIF
ENDIF
440 CONTINUE
441 CONTINUE
442 CONTINUE
NDDIR=NDDIR+(NB2-2*(JSTAGE-NBC)*ISPLH*IELEM)*ISPLH*IELEM**2
450 CONTINUE
455 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,2)-2*LT4)=NUM
460 CONTINUE
KEL=0
NUM=0
DO 565 IZ=1,LZ
FRACT=1.0
IF((NCODE(5).EQ.5).AND.(IZ.EQ.1)) FRACT=0.5
IF((NCODE(6).EQ.5).AND.(IZ.EQ.LZ)) FRACT=0.5
DZZ=ZZZ(IZ+1)-ZZZ(IZ)
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**2
DO 470 I=1,IELEM+1
LCOUR=LCOUR+1
ITEMP = NDDIR
> + (JEL-1)*(2*(NBC+JSTAGE-1)*IELEM*ISPLH+1)*IELEM**2
> + (IRANG-1)*(2*IELEM*ISPLH)
> + (IEL-1)*IELEM
> + (J-1)*(2*(NBC+JSTAGE-1)*IELEM*ISPLH+1) + I
IF(LCOUR.GT.NELEH) CALL XABORT('TRISFH: BUG9')
IF(KEL.GT.NBLOS) CALL XABORT('TRISFH: BUG10')
KN(IP(NUM),3+4*NELEH+LCOUR)=ITEMP
KN(IP(NUM),3+5*NELEH+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**2
KN(IP(NUM),3+4*NELEH+(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*DZZ*FRACT/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(IP(NUM),5)=SIDE*DZZ*FRACT
IQFR(IP(NUM),5)=ICODE(1)
ENDIF
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**2
KN(IP(NUM),3+5*NELEH+I*(IELEM+1))=0
490 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(IP(NUM),6)=SIDE*DZZ*FRACT/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(IP(NUM),6)=SIDE*DZZ*FRACT
IQFR(IP(NUM),6)=ICODE(1)
ENDIF
ENDIF
500 CONTINUE
501 CONTINUE
502 CONTINUE
NDDIR=NDDIR+(NB1+2*(JSTAGE-1)*ISPLH*IELEM)*ISPLH*IELEM**2
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**2
DO 520 I=1,IELEM+1
LCOUR=LCOUR+1
ITEMP = NDDIR
> + (JEL-1)*(2*(2*NBC-1+NBC-JSTAGE)*IELEM*ISPLH+1)*IELEM**2
> + (IRANG-1)*(2*IELEM*ISPLH)
> + (IEL-1)*IELEM
> + (J-1)*(2*(2*NBC-1+NBC-JSTAGE)*IELEM*ISPLH+1) + I
IF(LCOUR.GT.NELEH) CALL XABORT('TRISFH: BUG11')
IF(KEL.GT.NBLOS) CALL XABORT('TRISFH: BUG12')
KN(IP(NUM),3+4*NELEH+LCOUR)=ITEMP
KN(IP(NUM),3+5*NELEH+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**2
KN(IP(NUM),3+4*NELEH+(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*DZZ*FRACT/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(IP(NUM),5)=SIDE*DZZ*FRACT
IQFR(IP(NUM),5)=ICODE(1)
ENDIF
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**2
KN(IP(NUM),3+5*NELEH+I*(IELEM+1))=0
540 CONTINUE
ELSE IF((NCODE(1).EQ.1).AND.(ICODE(1).EQ.0)) THEN
QFR(IP(NUM),6)=SIDE*DZZ*FRACT/ALBEDO
ELSE IF(NCODE(1).EQ.1) THEN
QFR(IP(NUM),6)=SIDE*DZZ*FRACT
IQFR(IP(NUM),6)=ICODE(1)
ENDIF
ENDIF
550 CONTINUE
551 CONTINUE
552 CONTINUE
NDDIR=NDDIR+(NB2-2*(JSTAGE-NBC)*ISPLH*IELEM)*ISPLH*IELEM**2
560 CONTINUE
565 CONTINUE
*----
* SET THE CURRENT NUMBERING PART OF MATRIX KN AND MATRIX QFR (Z-AXIS)
*----
KEL=0
NUM=0
DO 635 IZ=1,LZ
DO 630 IX=1,LXH*ISPLH**2
KEL=KEL+1
IF(IZGLOB(KEL,1).EQ.0) GO TO 630
NUM=NUM+1
IF(IZ.EQ.1) THEN
LL1=.TRUE.
ELSE
LL1=(IZGLOB(KEL-LXH*ISPLH**2,1).EQ.0)
ENDIF
IF(IZ.EQ.LZ) THEN
LL2=.TRUE.
ELSE
LL2=(IZGLOB(KEL+LXH*ISPLH**2,1).EQ.0)
ENDIF
DO 572 K=0,2 ! THREE LOZENGES PER HEXAGON
DO 571 I=0,1 ! FACE ZINF/ZSUP
DO 570 J=1,IELEM**2
LCOUR=(2*K+I)*IELEM**2+J
IF(LCOUR.GT.NELEZ) CALL XABORT('TRISFH: BUG11')
IF(KEL.GT.NBLOS) CALL XABORT('TRISFH: BUG12')
ITEMP = NDDIR
> + 3*(IX-1)*(LZ+1)*IELEM**2
> + K*(LZ+1)*IELEM**2
> + (J-1)*(LZ+1) + IZ + I
KN(NUM,3+6*NELEH+LCOUR)=ITEMP
570 CONTINUE
571 CONTINUE
572 CONTINUE
*
* REFL OR ALBE BOUNDARY CONDITION
IF(LL1) THEN
COND=(NCODE(5).EQ.2).OR.((NCODE(5).EQ.1).AND.(ZCODE(5).EQ.1.0))
IF(COND) THEN
DO 585 K=0,2
DO 580 J=1,IELEM**2
LCINF=2*K*IELEM**2+J
KN(NUM,3+6*NELEH+LCINF)=0
580 CONTINUE
585 CONTINUE
ELSE IF((NCODE(5).EQ.1).AND.(ICODE(5).EQ.0)) THEN
ALBEDO=0.5*(1.0-ZCODE(5))/(1.0+ZCODE(5))
QFR(NUM,7)=0.8660254038*SIDE*SIDE/ALBEDO
ELSE IF(NCODE(5).EQ.1) THEN
QFR(NUM,7)=0.8660254038*SIDE*SIDE
IQFR(NUM,7)=ICODE(5)
ENDIF
ENDIF
IF(LL2) THEN
COND=(NCODE(6).EQ.2).OR.((NCODE(6).EQ.1).AND.(ZCODE(6).EQ.1.0))
IF(COND) THEN
DO 595 K=0,2
DO 590 J=1,IELEM**2
LCSUP=(2*K+1)*IELEM**2+J
KN(NUM,3+6*NELEH+LCSUP)=0
590 CONTINUE
595 CONTINUE
ELSE IF((NCODE(6).EQ.1).AND.(ICODE(6).EQ.0)) THEN
ALBEDO=0.5*(1.0-ZCODE(6))/(1.0+ZCODE(6))
QFR(NUM,8)=0.8660254038*SIDE*SIDE/ALBEDO
ELSE IF(NCODE(6).EQ.1) THEN
QFR(NUM,8)=0.8660254038*SIDE*SIDE
IQFR(NUM,8)=ICODE(6)
ENDIF
ENDIF
* TRAN BOUNDARY CONDITION
IF((IZ.EQ.LZ).AND.(NCODE(6).EQ.4)) THEN
DO 605 K=0,2
DO 600 J=1,IELEM**2
LCSUP=(2*K+1)*IELEM**2+J
KN(NUM,3+6*NELEH+LCSUP)=KN(NUM,3+6*NELEH+LCSUP)-LZ
600 CONTINUE
605 CONTINUE
ENDIF
* SYME BOUNDARY CONDITION
IF((NCODE(5).EQ.5).AND.(IZ.EQ.1)) THEN
QFR(NUM,7)=QFR(NUM,8)
IQFR(NUM,7)=IQFR(NUM,8)
DO 615 K=0,2
DO 610 J=1,IELEM**2
LCINF=2*K*IELEM**2+J
LCSUP=(2*K+1)*IELEM**2+J
KN(NUM,3+6*NELEH+LCINF)=-KN(NUM,3+6*NELEH+LCSUP)
610 CONTINUE
615 CONTINUE
ELSE IF((NCODE(6).EQ.5).AND.(IZ.EQ.LZ)) THEN
QFR(NUM,8)=QFR(NUM,7)
IQFR(NUM,8)=IQFR(NUM,7)
DO 625 K=0,2
DO 620 J=1,IELEM**2
LCINF=2*K*IELEM**2+J
LCSUP=(2*K+1)*IELEM**2+J
KN(NUM,3+6*NELEH+LCSUP)=-KN(NUM,3+6*NELEH+LCINF)
620 CONTINUE
625 CONTINUE
ENDIF
630 CONTINUE
635 CONTINUE
*----
* REMOVING THE UNUSED UNKNOWNS INDICES FROM KN
*----
IP(:3*LL4W0+LL4Z0)=0
DO 645 KEL=1,LT4
DO 640 ICOUR=1,6*NELEH+NELEZ
IND=ABS(KN(KEL,3+ICOUR))
IF(IND.GT.MAXIP) CALL XABORT('TRISFH: MAXIP OVERFLOW.')
IF(IND.NE.0) IP(IND)=1
640 CONTINUE
645 CONTINUE
LL4W=0
DO 650 IND=1,LL4W0
IF(IP(IND).EQ.1) THEN
LL4W=LL4W+1
IP(IND)=LL4W
ENDIF
650 CONTINUE
LL4X=0
DO 660 IND=1,LL4W0
IF(IP(LL4W0+IND).EQ.1) THEN
LL4X=LL4X+1
IP(LL4W0+IND)=LL4W+LL4X
ENDIF
660 CONTINUE
LL4Y=0
DO 670 IND=1,LL4W0
IF(IP(2*LL4W0+IND).EQ.1) THEN
LL4Y=LL4Y+1
IP(2*LL4W0+IND)=LL4W+LL4X+LL4Y
ENDIF
670 CONTINUE
LL4Z=0
DO 680 IND=1,LL4Z0
IF(IP(3*LL4W0+IND).EQ.1) THEN
LL4Z=LL4Z+1
IP(3*LL4W0+IND)=LL4W+LL4X+LL4Y+LL4Z
ENDIF
680 CONTINUE
DO 695 KEL=1,LT4
DO 690 ICOUR=1,6*NELEH+NELEZ
IF(KN(KEL,3+ICOUR).NE.0) THEN
IND=KN(KEL,3+ICOUR)
KN(KEL,3+ICOUR)=SIGN(IP(ABS(IND)),IND)
ENDIF
690 CONTINUE
695 CONTINUE
LL4=LL4F+LL4W+LL4X+LL4Y+LL4Z
*----
* PRINT A FEW GEOMETRY CHARACTERISTICS
*----
IF(IMPX.GT.0) THEN
write(6,*) ' '
write(6,*) 'ISPLH =',ISPLH
write(6,*) 'IELEM =',IELEM
write(6,*) 'NELEH =',NELEH
write(6,*) 'NELEZ =',NELEZ
write(6,*) 'NBLOS =',NBLOS
write(6,*) 'LL4F =',LL4F
write(6,*) 'LL4W =',LL4W
write(6,*) 'LL4X =',LL4X
write(6,*) 'LL4Y =',LL4Y
write(6,*) 'LL4Z =',LL4Z
write(6,*) 'NBC =',NBC
ENDIF
*----
* SET IPERT
*----
KEL=0
DO 714 IZ=1,LZ
DO 703 JSTAGE=1,NBC
DO 702 JEL=1,ISPLH
DO 701 IRANG=1,NBC+JSTAGE-1
DO 700 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
IF(IPERT(KEL).GT.NBLOS) call XABORT('TRISFH: NBLOS OVERFLOW(1)')
700 CONTINUE
701 CONTINUE
702 CONTINUE
703 CONTINUE
DO 713 JSTAGE=NBC+1,2*NBC-1
DO 712 JEL=1,ISPLH
DO 711 IRANG=1,(2*NBC-2)-(JSTAGE-NBC-1)
DO 710 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
IF(IPERT(KEL).GT.NBLOS) call XABORT('TRISFH: NBLOS OVERFLOW(2)')
710 CONTINUE
711 CONTINUE
712 CONTINUE
713 CONTINUE
714 CONTINUE
IF(KEL.NE.NBLOS) CALL XABORT('TRISFH: IPERT FAILURE.')
*----
* SET IDL, VOL, FRZ AND ZZ
*----
NUM=0
IDL(:3,:NBLOS)=0
VOL(:3,:NBLOS)=0.0
FRZ(:NBLOS)=0.0
ZZ(:3,:NBLOS)=0.0
DO 725 IZ=1,LZ
FRACT=1.0
IF((NCODE(5).EQ.5).AND.(IZ.EQ.1)) FRACT=0.5
IF((NCODE(6).EQ.5).AND.(IZ.EQ.LZ)) FRACT=0.5
DZ=ZZZ(IZ+1)-ZZZ(IZ)
DO 720 J=1,LXH*ISPLH**2
KEL=(IZ-1)*LXH*ISPLH**2+J
KEL2=IPERT(KEL)
IF(KEL2.EQ.0) GO TO 720
NUM=NUM+1
IDL(1,KEL2)=(NUM-1)*IELEM**3+1
IDL(2,KEL2)=(KN(NUM,1)-1)*IELEM**3+1
IDL(3,KEL2)=(KN(NUM,2)-1)*IELEM**3+1
VOL(:3,KEL2)=2.59807587*SIDE*SIDE*DZ*FRACT/REAL(3)
FRZ(KEL)=FRACT
ZZ(:3,KEL2)=DZ
720 CONTINUE
725 CONTINUE
IF(IMPX.GT.2) THEN
WRITE(6,790) 'MAT',(((MAT(I,J,K),I=1,3),J=1,ISPLH**2),
1 K=1,LXH*LZ)
WRITE(6,790) 'IDL',((IDL(I,J),I=1,3),J=1,NBLOS)
WRITE(6,800) 'ZZ ',((ZZ(I,J),I=1,3),J=1,NBLOS)
WRITE(6,800) 'VOL',((VOL(I,J),I=1,3),J=1,NBLOS)
ENDIF
*
IF(IMPX.GT.0) WRITE(6,810) LL4
IF(IMPX.GT.2) THEN
WRITE (6,830)
DO 730 K=1,NBLOS
WRITE (6,840) K,(IZGLOB(K,I),I=1,3)
730 CONTINUE
WRITE (6,850)
DO 740 K=1,LT4
WRITE (6,860) K,(KN(K,I),I=1,3+2*NELEH)
WRITE (6,870) 'X',(KN(K,I),I=3+2*NELEH+1,3+4*NELEH)
WRITE (6,870) 'Y',(KN(K,I),I=3+4*NELEH+1,3+6*NELEH)
IF(LL4Z.GT.0) THEN
WRITE (6,870) 'Z',(KN(K,I),I=3+6*NELEH+1,3+6*NELEH+NELEZ)
ENDIF
740 CONTINUE
WRITE (6,880)
DO 750 K=1,LT4
WRITE (6,890) K,(QFR(K,I),I=1,8)
750 CONTINUE
ENDIF
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(IZGLOB,IP,IJP)
RETURN
*
790 FORMAT(1X,A3/14(2X,I6))
800 FORMAT(1X,A3/7(2X,E12.5))
810 FORMAT(31H NUMBER OF UNKNOWNS PER GROUP =,I8)
830 FORMAT(/22H NUMBERING OF HEXAGONS/1X,21(1H-)//8H ELEMENT,4X,
1 24H W ----- X ----- Y -----)
840 FORMAT(1X,I6,5X,3I8)
850 FORMAT(/22H NUMBERING OF UNKNOWNS/1X,21(1H-)//8H ELEMENT,5X,
1 20H---> X ---> Y ---> W,4X,8HCURRENTS,89(1H.))
860 FORMAT(1X,I6,5X,3I7,4X,1HW,12I8:/(38X,12I8))
870 FORMAT(37X,A1,12I8:/(38X,12I8))
880 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-),
2 3X,7(1H-),3H Z ,7(1H-))
890 FORMAT(1X,I6,5X,1P,10E10.1/(12X,1P,10E10.1))
END
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