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|
*DECK TRIHEX
SUBROUTINE TRIHEX (IOPT,LX,LZ,LL4,MAT,KN,NCODE,IPTRK)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Numbering corresponding to a mesh corner finite difference or
* Lagrangian finite element discretization of hexagonal geometry.
*
*Copyright:
* Copyright (C) 2002 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. Benaboud
*
*Parameters: input
* IOPT type of hexagonal Lagrangian finite element:
* = 1 for hexagonal element with 6 points;
* = 2 for hexagonal element with 7 points and triangular element
* (IOPT.le.2) for Bivac;
* = 3 for hexagonal element with 6 points;
* = 4 for hexagonal element with 7 points and triangular element
* (IOPT.gt.2) for Trivac.
* LX number of elements in the XY plane.
* LZ number of elements along Z axis.
* MAT mixture index assigned to each element.
*
*Parameters: output
* LL4 total number of unknown (variational coefficients) per
* energy group (order of system matrices).
* KN element-ordered unknown list. Dimensionned to LC*LX*LZ
* where LC= 7 for triangle/Bivac, 6 for hexagon/Bivac,
* 14 for triangle/Trivac and 12 for hexagon/Trivac.
* IPTRK L_TRACK pointer to the tracking information.
*
*-----------------------------------------------------------------------
*
USE GANLIB
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER IOPT,LX,LZ,LL4,MAT(LX*LZ),KN(*),NCODE(6)
TYPE(C_PTR) IPTRK
*----
* LOCAL VARIABLES
*----
LOGICAL LC1,LMD,LMG,LED,LEG,LIV,CADI,LNC1,LNC2
INTEGER IRO(2,7),ITAB(14),ICO(6,6)
INTEGER, DIMENSION(:), ALLOCATABLE :: IISS,IPER,NWXY,IENV,IDX,IDY
INTEGER, DIMENSION(:,:), ALLOCATABLE :: ICG
INTEGER, DIMENSION(:,:,:), ALLOCATABLE :: NIK
DATA ITAB /0,2*1,0,2*-1,0,1,0,-1,0,1,0,-1/
DATA IRO /2,3,3,7,7,6,4,4,1,2,5,1,6,5/
DATA ICO /2,1,5,6,7,3,1,5,6,7,3,2,3,2,1,5,6,7,2,1,5,6,7,3,7,3,2,
> 1,5,6,3,2,1,5,6,7/
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(IISS(LX),IPER(LX),NWXY(LX),IENV(LX))
ALLOCATE(ICG(14,LX),NIK(3,7,LX))
*
IZI = 0
IZE = 0
IZS = 0
KEL = 0
IPAR = IOPT
NC = INT((SQRT(REAL((4*LX-1)/3))+1.)/2.)
IF(IPAR.LT.1.OR.IPAR.GT.4) CALL XABORT('TRIHEX : INVALID DATA.')
M1 = 2 + 3*(NC-1)*(NC-2)
IF(NC.EQ.1) M1=1
DO 10 KX = 1,LX
IISS(KX) = 0
IENV(KX) = KX
IF(MAT(KX).LE.0) GO TO 10
KEL = KEL + 1
IISS(KEL) = KX
10 CONTINUE
DO 20 IY = 1,14
ICG(IY,1) = ITAB(IY)
20 CONTINUE
DO 45 J = 1,LX
DO 40 KF = 1, 6
N = NEIGHB(J,KF,9,LX,POIDS)
IF(N.GT.LX) GOTO 40
DO 30 I = 1,14
IF(I.LE.7) THEN
IF((KF.EQ.1).OR.(KF.EQ.5)) ICG(I,N)=ICG(I,J)+1
IF((KF.EQ.2).OR.(KF.EQ.4)) ICG(I,N)=ICG(I,J)-1
IF(KF.EQ.3) ICG(I,N)=ICG(I,J)-2
IF(KF.EQ.6) ICG(I,N)=ICG(I,J)+2
ELSE
IF((KF.EQ.1).OR.(KF.EQ.3)) ICG(I,N)=ICG(I,J)+1
IF((KF.EQ.4).OR.(KF.EQ.6)) ICG(I,N)=ICG(I,J)-1
IF(KF.EQ.5) ICG(I,N)=ICG(I,J)-2
IF(KF.EQ.2) ICG(I,N)=ICG(I,J)+2
ENDIF
30 CONTINUE
40 CONTINUE
45 CONTINUE
ICHOIX = 1
CADI = .FALSE.
IF(IPAR.GT.2) THEN
CADI = .TRUE.
ICHOIX = 3
IPAR = IPAR - 2
ENDIF
NELEMW = -1
NELEMX = -1
NELEMY = -1
DO 190 IWXY = 1,ICHOIX
DO 51 IY = 1,7
DO 50 IX = 1,LX
NIK(IWXY,IY,IX) = 0
50 CONTINUE
51 CONTINUE
IF(NCODE(1).EQ.7) THEN
DO 60 J = 1,LX
IF(MAT(J).LE.0) GO TO 60
DO 55 KF = 1,6
N = NEIGHB(J,KF,9,LX,POIDS)
IF((N.GT.LX).OR.(MAT(N).LE.0)) THEN
NIK(IWXY,ICO(KF,2*IWXY-1),J) = -1
NIK(IWXY,ICO(KF,2*IWXY),J) = -1
ENDIF
55 CONTINUE
60 CONTINUE
ENDIF
IF(IWXY.EQ.2.OR.IWXY.EQ.3) M1 = M1 + NC - 1
CALL BIVPER(M1,IWXY,LX,LX,IPER,IENV)
DO 65 I = 1,LX
NWXY(IPER(I)) = I
65 CONTINUE
NELEM = 1
DO 70 I = 1,NC
IV = NWXY(I)
IF(MAT(IV).LE.0) GO TO 70
IF(NIK(IWXY,1,IV).EQ.-1) GO TO 70
NIK(IWXY,1,IV) = NELEM
NELEM = NELEM + 1
70 CONTINUE
DO 140 I = 1,LX
LIV = (I.GT.1)
IV1 = NWXY(I)
IF(MAT(IV1).LE.0) THEN
IFACE1 = IWXY + 5
IFACE2 = IWXY + 2
IF(IFACE1.GT.6) IFACE1 = IFACE1 - 6
IF(IFACE2.GT.6) IFACE2 = IFACE2 - 6
IND = NEIGHB(IV1,IFACE1,9,LX,P)
ING = NEIGHB(IV1,IFACE2,9,LX,P)
LED = (IND.GT.LX)
LEG = (ING.GT.LX)
LMD=.FALSE.
LMG=.FALSE.
IF(.NOT.LED) LMD = (MAT(IND).LE.0)
IF(.NOT.LEG) LMG = (MAT(ING).LE.0)
IF(LED.OR.LEG.OR.LMD.OR.LMG) THEN
IVK1 = -1
IVK2 = -1
IF((LMD.OR.LED).AND.(LMG.OR.LEG)) THEN
IVK1 = 1
IVK2 = 0
ELSE IF(LMD.OR.LED) THEN
IVK1 = 1
IVK2 = 3
ELSE IF(LMG.OR.LEG) THEN
IVK1 = 0
IVK2 = 0
ENDIF
IFACE3 = IWXY+IVK1+3
IFACE4 = IWXY+IVK2+2
IFACE5 = IWXY-IVK1+1
IF(IFACE3.GT.6) IFACE3 = IFACE3 - 6
IF(IFACE4.GT.6) IFACE4 = IFACE4 - 6
IF(IFACE5.GT.6) IFACE5 = IFACE5 - 6
IV3 = NEIGHB(IV1,IFACE3,9,LX,P)
IF((IV3.GT.LX).OR.(MAT(IV3).LE.0)) GOTO 90
80 IF(NIK(IWXY,1,IV3).EQ.0) THEN
NIK(IWXY,1,IV3) = NELEM
NELEM = NELEM + 1
ENDIF
IV3 = NEIGHB(IV3,IFACE4,9,LX,P)
IF((IV3.LE.LX).AND.(MAT(IV3).GT.0)) THEN
IV5 = NEIGHB(IV3,IFACE4-1,9,LX,P)
IF((IV5.GT.LX).OR.(MAT(IV5).GT.0)) GO TO 140
GO TO 80
ENDIF
90 IV4 = NEIGHB(IV1,IFACE5,9,LX,P)
IF((IV4.GT.LX).OR.(MAT(IV4).LE.0)) GOTO 140
100 IF(NIK(IWXY,7,IV4).EQ.0) THEN
NIK(IWXY,7,IV4) = NELEM
NELEM = NELEM + 1
ENDIF
IV4 = NEIGHB(IV4,IFACE4,9,LX,P)
IF((IV4.LE.LX).AND.(MAT(IV4).GT.0)) GOTO 100
ENDIF
ELSE
IF(IWXY.EQ.1) THEN
DO 110 K = 0,4
IF((IPAR.EQ.1).AND.(K.EQ.2)) GO TO 110
IF(LIV) THEN
IV2 = NWXY(I-1)
IF((ICG(K+2,IV1).EQ.ICG(5,IV2))
> .AND.(MAT(IV2).GT.0)) THEN
NIK(1,2,IV1) = NIK(1,5,IV2)
NIK(1,3,IV1) = NIK(1,6,IV2)
GO TO 110
ENDIF
ENDIF
IF(NIK(1,K+2,IV1).EQ.-1) GO TO 110
NIK(1,K+2,IV1) = NELEM
NELEM = NELEM + 1
110 CONTINUE
ELSE IF(IWXY.EQ.2) THEN
DO 120 K = 0,4
IF((IPAR.EQ.1).AND.(K.EQ.2)) GO TO 120
IF(LIV) THEN
IV2 = NWXY(I-1)
IF((ICG(K+1,IV1).EQ.ICG(6,IV2))
> .AND.(ICG(K+8,IV1).EQ.ICG(13,IV2))
> .AND.(MAT(IV2).GT.0)) THEN
NIK(2,2,IV1) = NIK(2,5,IV2)
GO TO 120
ELSE IF((ICG(K+1,IV1).EQ.ICG(7,IV2))
> .AND.(ICG(K+8,IV1).EQ.ICG(14,IV2))
> .AND.(MAT(IV2).GT.0)) THEN
NIK(2,3,IV1) = NIK(2,6,IV2)
GO TO 120
ENDIF
ENDIF
IF(NIK(2,K+2,IV1).EQ.-1) GO TO 120
NIK(2,K+2,IV1) = NELEM
NELEM = NELEM + 1
120 CONTINUE
ELSE IF(IWXY.EQ.3) THEN
LK = 1
DO 130 K = 5,1,-1
LK = LK + 1
IF((IPAR.EQ.1).AND.(LK.EQ.4)) GO TO 130
IF(LIV) THEN
IV2 = NWXY(I-1)
IF((ICG(K,IV1).EQ.ICG(7,IV2))
> .AND.(ICG(K+7,IV1).EQ.ICG(14,IV2))
> .AND.(MAT(IV2).GT.0)) THEN
NIK(3,2,IV1) = NIK(3,5,IV2)
GO TO 130
ELSE IF((ICG(K-3,IV1).EQ.ICG(3,IV2))
> .AND.(ICG(K+4,IV1).EQ.ICG(10,IV2))
> .AND.(MAT(IV2).GT.0)) THEN
NIK(3,3,IV1) = NIK(3,6,IV2)
GO TO 130
ENDIF
ENDIF
IF(NIK(3,LK,IV1).EQ.-1) GO TO 130
NIK(3,LK,IV1) = NELEM
NELEM = NELEM + 1
130 CONTINUE
ENDIF
ENDIF
140 CONTINUE
DO 160 I = 1,LX
IV = NWXY(I)
IF(MAT(IV).LE.0) GO TO 160
DO 150 K = 1,2
IFACE = K+IWXY-1
IF(IFACE.GT.6) IFACE = IFACE - 6
INE = NEIGHB(IV,IFACE,9,LX,P)
IF((INE.GT.LX).OR.(MAT(INE).LE.0)) GO TO 150
IF(K.EQ.1) NIK(IWXY,1,IV) = NIK(IWXY,6,INE)
IF(K.EQ.2) NIK(IWXY,1,IV) = NIK(IWXY,3,INE)
150 CONTINUE
160 CONTINUE
DO 180 I = 1,LX
IV = NWXY(I)
IF(MAT(IV).LE.0) GO TO 180
LC1 = .FALSE.
LIV = .TRUE.
DO 170 K = 4,5
IFACE = K+IWXY-1
IF(IFACE.GT.6) IFACE = IFACE - 6
INE = NEIGHB(IV,IFACE,9,LX,P)
IF((INE.GT.LX).OR.(MAT(INE).LE.0)) THEN
IF(K.EQ.4) LC1 = .TRUE.
IF(NIK(IWXY,7,IV).EQ.-1) GO TO 170
IF(LC1.AND.K.EQ.5.AND.(NIK(IWXY,7,IV).EQ.0)) THEN
NIK(IWXY,7,IV) = NELEM
NELEM = NELEM + 1
ENDIF
ELSE
IF(K.EQ.4) THEN
LIV = .FALSE.
NIK(IWXY,7,IV) = NIK(IWXY,2,INE)
ENDIF
IF(K.EQ.5.AND.LIV) NIK(IWXY,7,IV)=NIK(IWXY,5,INE)
ENDIF
170 CONTINUE
180 CONTINUE
IF(IWXY.EQ.1) NELEMW = NELEM - 1
IF(IWXY.EQ.2) NELEMX = NELEM - 1
IF(IWXY.EQ.3) NELEMY = NELEM - 1
190 CONTINUE
MEL = 0
NPT = NELEM -1
IF(ICHOIX.EQ.3) THEN
IF((NELEMW.NE.NELEMX).OR.(NELEMW.NE.NELEMY)) THEN
CALL XABORT('TRIHEX: ECHEC DE LA NUMEROTATION.')
ENDIF
ALLOCATE(IDX(NPT),IDY(NPT))
DO 200 I = 1,LX
IF(MAT(I).LE.0) GO TO 200
DO 195 J = 1,7
IF((IPAR.EQ.1).AND.(J.EQ.4)) GO TO 195
IF(NIK(1,J,I).EQ.-1) GO TO 195
IDX(NIK(1,J,I)) = NIK(2,IRO(1,J),I)
IDY(NIK(1,J,I)) = NIK(3,IRO(2,J),I)
195 CONTINUE
200 CONTINUE
CALL LCMPUT(IPTRK,'ILX',NPT,1,IDX)
CALL LCMPUT(IPTRK,'ILY',NPT,1,IDY)
DEALLOCATE(IDY,IDX)
ENDIF
NINC = 6
IF(CADI) NINC = 12
IF(IPAR.EQ.2) NINC = 7
IF((IPAR.EQ.2).AND.CADI) NINC = 14
LNC1 = .FALSE.
LNC2 = .FALSE.
KNZ = 0
IF(LZ.GT.1) KNZ = NPT
IF(CADI.AND.(LZ.GT.1)) CALL LCMPUT(IPTRK,'NCODE',6,1,NCODE)
IF((LZ.GT.1).AND.((NCODE(5).EQ.7).OR.(NCODE(6).EQ.7))) THEN
LNC1 = (NCODE(5).EQ.7)
LNC2 = (NCODE(6).EQ.7)
IF(LNC1) IZI = 1
IF(LNC2) IZS = 1
IF(LNC1.AND.LNC2) THEN
IZE = 1
IZS = 1
IZI = 0
ENDIF
ENDIF
DO 230 MZ = 1, LZ
KEL = 0
DO 220 MX = 1, LX
IF(MAT(MX).LE.0) GO TO 220
KEL = KEL + 1
ML = IISS(KEL)
IJX = 1
DO 210 JX = 1,7
KN(MEL+IJX) = 0
IF(CADI) KN(MEL+IJX+NINC/2) = 0
IF((IPAR.EQ.1).AND.(JX.EQ.4)) GO TO 210
IF(NIK(1,JX,ML).EQ.-1) GO TO 205
IF(MZ.EQ.1.AND.LNC1) THEN
KN(MEL+IJX+NINC/2) = NIK(1,JX,ML)
GO TO 205
ELSE IF(MZ.EQ.LZ.AND.LNC2) THEN
KN(MEL+IJX) = NIK(1,JX,ML)+(MZ-IZS-IZE)*KNZ
GO TO 205
ENDIF
KN(MEL+IJX) = NIK(1,JX,ML)+(MZ-1-IZE-IZI)*KNZ
IF(CADI) KN(MEL+IJX+NINC/2)=NIK(1,JX,ML)+(MZ-IZE-IZI)*KNZ
205 IJX = IJX + 1
210 CONTINUE
MEL = MEL + NINC
220 CONTINUE
230 CONTINUE
LL4 = NPT
IF(LZ.GT.1) THEN
LL4 = NPT*(LZ+1)
IF(LNC1.OR.LNC2) LL4 = NPT*LZ
IF(LNC1.AND.LNC2) LL4 = NPT*(LZ-1)
ENDIF
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(NIK,ICG,IENV,NWXY,IPER,IISS)
RETURN
END
|
