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|
*DECK TRITRK
SUBROUTINE TRITRK (MAXPTS,IPTRK,IPGEOM,IMPX,IELEM,ICOL,ICHX,ISEG,
1 IMPV,NLF,NVD,ISPN,ISCAT,NADI)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Recover of the geometry and tracking for TRIVAC.
*
*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. Hebert
*
*Parameters: input
* MAXPTS allocated storage for arrays of dimension NEL.
* IPTRK L_TRACK pointer to the TRIVAC tracking information.
* IPGEOM L_GEOM pointer to the geometry.
* IMPX print flag.
* IELEM degree of the Lagrangian finite elements:
* =1: linear finite elements or finite differences;
* =2: parabolic finite elements;
* =3: cubic finite elements;
* =4: quartic finite elements.
* ICOL type of quadrature used to integrate the mass matrix:
* =1: analytical integration;
* =2: Gauss-Lobatto quadrature (collocation method);
* =3: Gauss-Legendre quadrature (superconvergent)
* IELEM=1 and ICOL=2 are finite difference approximations.
* ICHX type of discretization method:
* =1: variational collocation method (primal finite elements
* with Gauss-Lobatto quadrature);
* =2: dual finite element approximations;
* =3: nodal collocation method with full tensorial products
* (dual finite elements with Gauss-Lobatto quadrature).
* ISEG number of elements in a vector register. Equal to zero for
* operations in scalar mode.
* IMPV print parameter for supervectorial operations.
* NLF number of Legendre orders for the flux. Equal to zero for
* diffusion theory.
* NVD type of void boundary condition if NLF>0 and ICOL=3.
* ISPN type of transport solution:
* =0: complete PN method;
* =1: simplified PN method.
* ISCAT source anisotropy:
* =1: isotropic sources in laboratory system;
* =2: linearly anisotropic sources in laboratory system.
* NADI number of ADI iterations at the inner iterative level.
*
*-----------------------------------------------------------------------
*
USE GANLIB
*----
* SUBROUTINE ARGUMENTS
*----
TYPE(C_PTR) IPTRK,IPGEOM
INTEGER MAXPTS,IMPX,IELEM,ICOL,ICHX,ISEG,IMPV,NLF,NVD,ISPN,ISCAT,
1 NADI
*----
* LOCAL VARIABLES
*----
PARAMETER (NSTATE=40)
LOGICAL ILK,CYLIND,CHEX
CHARACTER HSMG*131
INTEGER ISTATE(NSTATE),IGP(NSTATE),NCODE(6),ICODE(6)
REAL ZCODE(6)
INTEGER, DIMENSION(:), ALLOCATABLE :: MAT,IDL,IPERT,KN,IQFR,IDP,
1 IMX,ISPLX,ISPLY,ISPLZ,MUW,MUX,MUY,MUZ,IPW,IPX,IPY,IPZ,ISET
REAL, DIMENSION(:), ALLOCATABLE :: VOL,XXX,YYY,ZZZ,XX,YY,ZZ,DD,
1 QFR,FRZ,RR0,XR0,ANG
REAL, DIMENSION(:,:), ALLOCATABLE :: V,H
DOUBLE PRECISION, DIMENSION(:), ALLOCATABLE :: CTRAN
INTEGER, DIMENSION(:), ALLOCATABLE :: NBLW,LBLW,MUVW,IPVW,NBLX,
1 LBLX,MUVX,IPVX,NBLY,LBLY,MUVY,IPVY,NBLZ,LBLZ,MUVZ,IPVZ
REAL, DIMENSION(:), ALLOCATABLE :: BBW,BBX,BBY,BBZ
INTEGER, DIMENSION(:), ALLOCATABLE :: IPBBW,IPBBX,IPBBY,IPBBZ
*
******************* TRIVAC GEOMETRICAL STRUCTURE. **********************
* *
* ITYPE : =2 : CARTESIAN 1-D GEOMETRY; *
* =3 : TUBE 1-D GEOMETRY; *
* =5 : CARTESIAN 2-D GEOMETRY; *
* =6 : TUBE 2-D GEOMETRY; *
* =7 : CARTESIAN 3-D GEOMETRY; *
* =8 : HEXAGONAL 2-D GEOMETRY; *
* =9 : HEXAGONAL 3-D GEOMETRY. *
* IHEX : TYPE OF HEXAGONAL SYMMETRY. *
* IDIAG : =0 NO DIAGONAL SYMMETRY; =1 DIAGONAL SYMMETRY. *
* IELEM : DEGREE OF THE LAGRANGIAN FINITE ELEMENTS. *
* =1: LINEAR FINITE ELEMENTS OR FINITE DIFFERENCES; *
* =2: PARABOLIC FINITE ELEMENTS; *
* =3: CUBIC FINITE ELEMENTS; *
* =4: QUARTIC FINITE ELEMENTS. *
* ICOL : TYPE OF QUADRATURE USED TO INTEGRATE THE MASS MATRIX.*
* =1: ANALYTICAL INTEGRATION; *
* =2: GAUSS-LOBATTO QUADRATURE (COLLOCATION METHOD); *
* =3: GAUSS-LEGENDRE QUADRATURE (SUPERCONVERGENT). *
* IELEM=1 AND ICOL=2 ARE FINITE DIFFERENCE APPROX. *
* ICHX : TYPE OF DISCRETIZATION METHOD. *
* =1: VARIATIONAL COLLOCATION METHOD (PRIMAL FINITE *
* ELEMENTS WITH GAUSS-LOBATTO QUADRATURE); *
* =2: DUAL FINITE ELEMENT APPROXIMATIONS; *
* =3: NODAL COLLOCATION METHOD WITH FULL TENSORIAL *
* PRODUCTS (DUAL FINITE ELEMENTS WITH GAUSS- *
* LOBATTO QUADRATURE). *
* SIDE : SIDE OF THE HEXAGONS. *
* LL4 : ORDER OF THE MATRICES PER GROUP IN TRIVAC. *
* NCODE : TYPES OF BOUNDARY CONDITIONS. DIMENSION=6 *
* ZCODE : ALBEDOS. DIMENSION=6 *
* LX,LY,LZ : NUMBER OF ELEMENTS ALONG THE X, Y AND Z AXIS. *
* XX : X-DIRECTED MESH SPACINGS. DIMENSION=LX*LY*LZ *
* YY : Y-DIRECTED MESH SPACINGS. DIMENSION=LX*LY*LZ *
* ZZ : Z-DIRECTED MESH SPACINGS. DIMENSION=LX*LY*LZ *
* DD : USED WITH CYLINDRICAL GEOMETRIES. DIMENSION=LX*LY*LZ *
* KN : ELEMENT-ORDERED UNKNOWN LIST. DIMENSION LX*LY*LZ*ICO *
* WHERE ICO IS THE NUMBER OF UNKNOWN PER ELEMENT. *
* QFR : ELEMENT-ORDERED BOUNDARY CONDITIONS. *
* DIMENSION 6*LX*LY*LZ OR 8*LX*LZ *
* IQFR : ELEMENT-ORDERED PHYSICAL ALBEDO INDICES. *
* DIMENSION 6*LX*LY*LZ OR 8*LX*LZ *
* MUW : INDICES USED WITH W-DIRECTED COMPRESSED DIAGONAL *
* STORAGE MODE MATRICES. DIMENSION LL4W *
* MUX : INDICES USED WITH X-DIRECTED COMPRESSED DIAGONAL *
* STORAGE MODE MATRICES. DIMENSION LL4X *
* MUY : INDICES USED WITH Y-DIRECTED COMPRESSED DIAGONAL *
* STORAGE MODE MATRICES. DIMENSION LL4Y *
* MUZ : INDICES USED WITH Z-DIRECTED COMPRESSED DIAGONAL *
* STORAGE MODE MATRICES. DIMENSION LL4Z *
* IPW : W-DIRECTED PERMUTATION MATRIX. DIMENSION LL4 *
* IPX : X-DIRECTED PERMUTATION MATRIX. DIMENSION LL4 *
* IPY : Y-DIRECTED PERMUTATION MATRIX. DIMENSION LL4 *
* IPZ : Z-DIRECTED PERMUTATION MATRIX. DIMENSION LL4 *
* *
* SUPERVECTORIAL OPERATION INFORMATION: *
* ISEG : NUMBER OF ELEMENTS IN A VECTOR REGISTER. EQUAL TO *
* ZERO FOR OPERATIONS IN SCALAR MODE. *
* IMPV : PRINT PARAMETER FOR SUPERVECTORIAL OPERATIONS. *
* LTSW : MAXIMUM BANDWIDTH. =2 FOR TRIDIAGONAL SYSTEMS. *
* LONW : NUMBER OF GROUPS OF LINEAR SYSTEMS FOR W-MATRICES. *
* LONX : NUMBER OF GROUPS OF LINEAR SYSTEMS FOR X-MATRICES. *
* LONY : NUMBER OF GROUPS OF LINEAR SYSTEMS FOR Y-MATRICES. *
* LONZ : NUMBER OF GROUPS OF LINEAR SYSTEMS FOR Z-MATRICES. *
* NBLW : NUMBER OF LINEAR SYSTEMS PER W-GROUP. DIMENSION LONW *
* NBLX : NUMBER OF LINEAR SYSTEMS PER X-GROUP. DIMENSION LONX *
* NBLY : NUMBER OF LINEAR SYSTEMS PER Y-GROUP. DIMENSION LONY *
* NBLZ : NUMBER OF LINEAR SYSTEMS PER Z-GROUP. DIMENSION LONZ *
* LBLW : NUMBER OF UNKNOWNS PER W-GROUP. DIMENSION LONW *
* LBLX : NUMBER OF UNKNOWNS PER X-GROUP. DIMENSION LONX *
* LBLY : NUMBER OF UNKNOWNS PER Y-GROUP. DIMENSION LONY *
* LBLZ : NUMBER OF UNKNOWNS PER Z-GROUP. DIMENSION LONZ *
* MUVW : INDICES USED WITH W-DIRECTED COMPRESSED DIAGONAL *
* STORAGE MODE MATRICES IN VECTOR MODE. DIMENSION LL4W *
* MUVX : INDICES USED WITH X-DIRECTED COMPRESSED DIAGONAL *
* STORAGE MODE MATRICES IN VECTOR MODE. DIMENSION LL4X *
* MUVY : INDICES USED WITH Y-DIRECTED COMPRESSED DIAGONAL *
* STORAGE MODE MATRICES IN VECTOR MODE. DIMENSION LL4Y *
* MUVZ : INDICES USED WITH Z-DIRECTED COMPRESSED DIAGONAL *
* STORAGE MODE MATRICES IN VECTOR MODE. DIMENSION LL4Z *
* IPVW : W-DIRECTED VECTOR PERMUTATION MATRIX. DIMENSION LL4 *
* IPVX : X-DIRECTED VECTOR PERMUTATION MATRIX. DIMENSION LL4 *
* IPVY : Y-DIRECTED VECTOR PERMUTATION MATRIX. DIMENSION LL4 *
* IPVZ : Z-DIRECTED VECTOR PERMUTATION MATRIX. DIMENSION LL4 *
* *
* INFORMATION RELATED TO CYLINDRICAL CORRECTIONS IN CARTESIAN GEOMETRY *
* NR0 : NUMBER OF RADII. *
* RR0 : RADII. DIMENSION NR0 *
* XR0 : COORDINATES ON PRINCIPAL AXIS. DIMENSION NR0 *
* ANG : ANGLES FOR APPLYING CIRCULAR CORRECTION. *
* DIMENSION NR0 *
* *
************************************************************************
*
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(MAT(MAXPTS),IDL(MAXPTS),VOL(MAXPTS))
*
CALL LCMGET(IPGEOM,'STATE-VECTOR',ISTATE)
ITYPE=ISTATE(1)
*
IF(IMPX.GE.1) WRITE (6,'(/35H TRITRK: DEGREE OF FINITE ELEMENT I,
1 6HELEM =,I3/9X,25HTYPE OF QUADRATURE ICOL =,I3/9X,10HTYPE OF DI,
2 19HSCRETIZATION ICHX =,I3/)') IELEM,ICOL,ICHX
IF((IMPX.GE.1).AND.(ISEG.GT.0)) WRITE (6,'(18H TRITRK: SUPERVECT,
1 27HORIZATION OPTION ON. ISEG =,I4,8H IMPV =,I3/)') ISEG,IMPV
IF(ISTATE(9).EQ.0) THEN
IF((ITYPE.NE.1).AND.(ITYPE.NE.2).AND.(ITYPE.NE.3).AND.
1 (ITYPE.NE.5).AND.(ITYPE.NE.6).AND.(ITYPE.NE.7).AND.
2 (ITYPE.NE.8).AND.(ITYPE.NE.9)) THEN
CALL XABORT('TRITRK: DISCRETIZATION NOT AVAILABLE.')
ENDIF
ALLOCATE(XXX(MAXPTS+1),YYY(MAXPTS+1),ZZZ(MAXPTS+1))
*
ALLOCATE(ISPLX(MAXPTS),ISPLY(MAXPTS),ISPLZ(MAXPTS))
CALL READ3D(MAXPTS,MAXPTS,MAXPTS,MAXPTS,IPGEOM,IHEX,IR,ILK,
1 SIDE,XXX,YYY,ZZZ,IMPX,LX,LY,LZ,MAT,NEL,NCODE,ICODE,ZCODE,
2 ISPLX,ISPLY,ISPLZ,ISPLH,ISPLL)
DEALLOCATE(ISPLX,ISPLY,ISPLZ)
IF((ITYPE.GE.8).AND.(ICHX.EQ.2)) THEN
IF(ISPLL.EQ.0) THEN
CALL XABORT('TRITRK: SPLITL KEYWORD MISSING IN GEOMETRY.')
ENDIF
ISPLH=ISPLL
ELSE IF(ITYPE.GE.8) THEN
ISPLH=ISPLH+1
ENDIF
ELSE
CALL XABORT('TRITRK: DISCRETIZATION NOT AVAILABLE.')
ENDIF
*----
* UNFOLD HEXAGONAL GEOMETRY CASES.
*----
CHEX=(ITYPE.EQ.8).OR.(ITYPE.EQ.9)
IF(CHEX.AND.(IHEX.NE.9)) THEN
ALLOCATE(IDP(MAXPTS),IMX(NEL))
DO 30 I=1,NEL
IMX(I)=MAT(I)
30 CONTINUE
LXOLD=LX
CALL BIVALL(MAXPTS,IHEX,LXOLD,LX,IDP)
DO 41 KZ=1,LZ
DO 40 KX=1,LX
KEL=IDP(KX)+(KZ-1)*LXOLD
MAT(KX+(KZ-1)*LX)=IMX(KEL)
40 CONTINUE
41 CONTINUE
DEALLOCATE(IMX,IDP)
NEL=LX*LZ
ENDIF
*----
* PROCESS INFORMATION RELATED TO CYLINDRICAL CORRECTION IN CARTESIAN
* GEOMETRIES.
*----
CALL LCMLEN(IPGEOM,'RR0',NR0,ITYLCM)
IF(NR0.GT.0) THEN
IF((ITYPE.NE.5).AND.(ITYPE.NE.7)) CALL XABORT('TRITRK: CYLIND'
1 //'RICAL CORRECTIONS ARE LIMITED TO CARTESIAN GEOMETRIES.')
IF(IMPX.GT.0) WRITE(6,'(/33H TRITRK: PERFORM A CYLINDRICAL CO,
2 35HRRECTION ON THE CARTESIAN BOUNDARY.)')
ALLOCATE(RR0(NR0),XR0(NR0),ANG(NR0))
CALL LCMGET(IPGEOM,'RR0',RR0)
CALL LCMGET(IPGEOM,'XR0',XR0)
CALL LCMGET(IPGEOM,'ANG',ANG)
CALL LCMPUT(IPTRK,'RR0',NR0,2,RR0)
CALL LCMPUT(IPTRK,'XR0',NR0,2,XR0)
CALL LCMPUT(IPTRK,'ANG',NR0,2,ANG)
DEALLOCATE(ANG,XR0,RR0)
ENDIF
*
IF(LX*LY*LZ.GT.MAXPTS) THEN
WRITE (HSMG,'(39HTRITRK: MAXPTS SHOULD BE INCREASED FROM,I8,
1 3H TO,I8)') MAXPTS,LX*LY*LZ
CALL XABORT(HSMG)
ENDIF
*----
* 1-D AND 2-D CASES.
*----
IDIM=1
IF((ITYPE.EQ.5).OR.(ITYPE.EQ.6).OR.(ITYPE.EQ.8)) IDIM=2
IF((ITYPE.EQ.7).OR.(ITYPE.EQ.9)) IDIM=3
IF((NCODE(3).EQ.0).AND.(NCODE(4).EQ.0).AND.(.NOT.CHEX)) THEN
IF((IDIM.NE.1).OR.(LY.NE.1)) CALL XABORT('TRITRK: INVALID 1D '
1 //'GEOMETRY.')
NCODE(3)=2
NCODE(4)=5
ZCODE(3)=1.0
ZCODE(4)=1.0
YYY(1)=0.0
YYY(2)=2.0
ENDIF
IF((NCODE(5).EQ.0).AND.(NCODE(6).EQ.0)) THEN
IF((IDIM.EQ.3).OR.(LZ.NE.1)) CALL XABORT('TRITRK: INVALID 1D '
1 //'OR 2D GEOMETRY.')
NCODE(5)=2
NCODE(6)=5
ZCODE(5)=1.0
ZCODE(6)=1.0
ZZZ(1)=0.0
ZZZ(2)=2.0
ENDIF
*----
* 2-D CYLINDRICAL CASES.
*----
CYLIND=(ITYPE.EQ.3).OR.(ITYPE.EQ.6)
IF(ITYPE.EQ.6) THEN
LY=LZ
DO 45 I=1,LZ+1
YYY(I)=ZZZ(I)
45 CONTINUE
NCODE(3)=NCODE(5)
NCODE(4)=NCODE(6)
ICODE(3)=ICODE(5)
ICODE(4)=ICODE(6)
ZCODE(3)=ZCODE(5)
ZCODE(4)=ZCODE(6)
NCODE(5)=0
NCODE(6)=0
ZCODE(5)=0.0
ZCODE(6)=0.0
ENDIF
*----
* UNFOLD THE DOMAIN IN DIAGONAL SYMMETRY CASES.
*----
IDIAG=0
IF((NCODE(2).EQ.3).AND.(NCODE(3).EQ.3)) THEN
IDIAG=1
NCODE(3)=NCODE(1)
NCODE(2)=NCODE(4)
ICODE(3)=ICODE(1)
ICODE(2)=ICODE(4)
ZCODE(3)=ZCODE(1)
ZCODE(2)=ZCODE(4)
K=NEL
DO 82 IZ=LZ,1,-1
IOFF=(IZ-1)*LX*LY
DO 81 IY=LY,1,-1
DO 70 IX=LX,IY+1,-1
MAT(IOFF+(IY-1)*LX+IX)=MAT(IOFF+(IX-1)*LY+IY)
70 CONTINUE
DO 80 IX=IY,1,-1
MAT(IOFF+(IY-1)*LX+IX)=MAT(K)
K=K-1
80 CONTINUE
81 CONTINUE
82 CONTINUE
NEL=LX*LY*LZ
IF(K.NE.0) THEN
CALL XABORT('TRITRK: UNABLE TO UNFOLD THE DOMAIN(1).')
ENDIF
ELSE IF((NCODE(1).EQ.3).AND.(NCODE(4).EQ.3)) THEN
IDIAG=1
NCODE(1)=NCODE(3)
NCODE(4)=NCODE(2)
ICODE(1)=ICODE(3)
ICODE(4)=ICODE(2)
ZCODE(1)=ZCODE(3)
ZCODE(4)=ZCODE(2)
K=NEL
DO 92 IZ=LZ,1,-1
IOFF=(IZ-1)*LX*LY
DO 91 IY=LY,1,-1
DO 90 IX=LX,IY,-1
MAT(IOFF+(IY-1)*LX+IX)=MAT(K)
K=K-1
90 CONTINUE
91 CONTINUE
92 CONTINUE
DO 102 IZ=1,LZ
IOFF=(IZ-1)*LX*LY
DO 101 IY=1,LY
DO 100 IX=1,IY-1
MAT(IOFF+(IY-1)*LX+IX)=MAT(IOFF+(IX-1)*LY+IY)
100 CONTINUE
101 CONTINUE
102 CONTINUE
NEL=LX*LY*LZ
IF(K.NE.0) THEN
CALL XABORT('TRITRK: UNABLE TO UNFOLD THE DOMAIN(2).')
ENDIF
ENDIF
IF(IMPX.GT.5) THEN
WRITE(6,600) 'NCODE',(NCODE(I),I=1,6)
WRITE(6,600) 'MAT',(MAT(I),I=1,LX*LY*LZ)
ENDIF
*
CALL KDRCPU(TK1)
MAXQF=6*NEL
IF(CHEX) MAXQF=8*NEL
IF((ICHX.EQ.1).AND.(.NOT.CHEX)) THEN
MAXKN=NEL*(IELEM+1)**3
ELSE IF((ICHX.EQ.2).AND.(.NOT.CHEX)) THEN
MAXKN=NEL*(1+6*IELEM**2)
ELSE IF((ICHX.EQ.3).AND.(.NOT.CHEX)) THEN
MAXKN=6*NEL
ELSE IF((ICHX.EQ.1).AND.CHEX) THEN
IF(ISPLH.EQ.1) THEN
MAXKN=12*NEL
ELSE
MAXKN=2*(1+ISPLH*(ISPLH-1)*3)*NEL
ENDIF
ELSE IF((ICHX.EQ.2).AND.CHEX) THEN
MAXKN=(NEL*ISPLH**2)*(3+6*IELEM*IELEM*(IELEM+2))
MAXQF=(NEL*ISPLH**2)*8
ELSE IF((ICHX.EQ.3).AND.CHEX) THEN
IF(ISPLH.EQ.1) THEN
MAXKN=8*NEL
ELSE
MAXKN=(18*(ISPLH-1)**2+8)*NEL
ENDIF
ELSE
CALL XABORT('TRITRK: INVALID TYPE OF DISCRETIZATION.')
ENDIF
IF(CYLIND) THEN
MAXDD=NEL
ELSE
MAXDD=1
ENDIF
IF((ICHX.NE.2).AND.CHEX.AND.(IELEM.NE.1)) CALL XABORT('TRITRK: T'
1 //'HIS HEXAGONAL DISCRETIZATIONS IS LIMITED TO LINEAR ORDER.')
IF(CHEX.AND.(NCODE(1).EQ.5)) CALL XABORT('TRITRK: SYME BOUNDARY '
1 //'CONDITION IS NOT AVAILABLE AROUND THE HEXAGONAL PLANE.')
ALLOCATE(XX(NEL),YY(NEL),ZZ(NEL),DD(MAXDD),KN(MAXKN),QFR(MAXQF),
1 IQFR(MAXQF))
KN(:MAXKN)=0
QFR(:MAXQF)=0.0
IQFR(:MAXQF)=0
LL4=0
IF((ICHX.EQ.1).AND.(.NOT.CHEX)) THEN
CALL TRIPKN(IELEM,LX,LY,LZ,LL4,CYLIND,XXX,YYY,ZZZ,XX,YY,ZZ,DD,
1 KN,QFR,IQFR,VOL,MAT,NCODE,ICODE,ZCODE,IMPX)
IF((IMPX.GT.0).AND.(IELEM.EQ.1)) THEN
WRITE (6,'(/40H TRITRK: MESH CORNER FINITE DIFFERENCES.)')
ENDIF
LL4W=0
LL4X=LL4
LL4Y=LL4
LL4Z=LL4
ELSE IF((ICHX.EQ.2).AND.(.NOT.CHEX)) THEN
CALL TRIDKN(IMPX,LX,LY,LZ,CYLIND,IELEM,LL4,LL4F,LL4X,LL4Y,
1 LL4Z,NCODE,ICODE,ZCODE,MAT,VOL,XXX,YYY,ZZZ,XX,YY,ZZ,DD,KN,
2 QFR,IQFR,IDL)
MAXIP=LX*LY*LZ
NUN=LL4
ELSE IF((ICHX.EQ.3).AND.(.NOT.CHEX)) THEN
MAXIP=LX*LY*LZ
CALL TRIDFC(IMPX,LX,LY,LZ,CYLIND,NCODE,ICODE,ZCODE,MAT,XXX,
1 YYY,ZZZ,LL0,VOL,XX,YY,ZZ,DD,KN,QFR,IQFR)
IF(IELEM.EQ.1) THEN
LL4=LL0
IF(IMPX.GT.0) WRITE (6,'(/29H TRITRK: MESH CENTERED FINITE,
1 13H DIFFERENCES.)')
ELSE IF((IELEM.GT.1).AND.(ICHX.EQ.3)) THEN
LL4=LL0*IELEM**IDIM
IF(IMPX.GT.0) WRITE (6,'(/29H TRITRK: NODAL COLLOCATION ME,
1 13HTHOD OF ORDER,I3,1H.)') IELEM
ENDIF
* COMPUTE INDICES IDL.
IF(ICHX.EQ.3) THEN
* NODAL COLLOCATION METHOD.
NUN=0
DO 110 K=1,NEL
IDL(K)=0
IF(MAT(K).EQ.0) GO TO 110
NUN=NUN+1
IDL(K)=1+IELEM*(NUN-1)
110 CONTINUE
NUN=LL4
ENDIF
LL4W=0
LL4X=LL4
LL4Y=LL4
LL4Z=LL4
ELSE IF((ICHX.EQ.1).AND.CHEX) THEN
MAXIP=1
IF(IELEM.NE.1) CALL XABORT('TRITRK: INVALID DISCRETIZATION.')
CALL TRIPRH(ISPLH,IPTRK,LX,LZ,LL4,SIDE,ZZZ,ZZ,KN,QFR,IQFR,VOL,
1 MAT,NCODE,ICODE,ZCODE,IMPX)
IF(IMPX.GT.0) WRITE (6,'(/32H TRITRK: MESH CORNER FINITE DIFF,
1 39HERENCES FOR HEXAGONAL GEOMETRY. ISPLH =,I3,1H.)') ISPLH
LL4W=LL4
LL4X=LL4
LL4Y=LL4
LL4Z=LL4
ELSE IF((ICHX.EQ.2).AND.CHEX) THEN
NEL=LX*LZ
LXH=LX/(3*ISPLH**2)
NBLOS=LXH*LZ*ISPLH**2
NBC=INT((SQRT(REAL((4*LXH-1)/3))+1.)/2.)
MAXIP=3*(2*LXH*ISPLH*IELEM+2*NBC-1)*ISPLH*LZ*IELEM**2
1 +3*LXH*(LZ+1)*(ISPLH**2)*IELEM**2
ALLOCATE(IPERT(NBLOS),FRZ(NBLOS))
CALL TRISFH(IMPX,MAXKN,MAXIP,NBLOS,ISPLH,IELEM,LXH,LZ,MAT,SIDE,
1 ZZZ,NCODE,ICODE,ZCODE,LL4,LL4F,LL4W,LL4X,LL4Y,LL4Z,VOL,IDL,
2 IPERT,ZZ,FRZ,KN,QFR,IQFR)
CALL LCMPUT(IPTRK,'IPERT',NBLOS,1,IPERT)
CALL LCMPUT(IPTRK,'FRZ',NBLOS,2,FRZ)
DEALLOCATE(FRZ,IPERT)
NUN=LL4
IF(IMPX.GT.0) WRITE (6,'(/32H TRITRK: THOMAS-RAVIART-SCHNEIDE,
1 49HR FINITE ELEMENTS FOR HEXAGONAL GEOMETRY. ISPLH =,I3,1H.)')
2 ISPLH
ELSE IF((ICHX.EQ.3).AND.CHEX) THEN
MAXIP=LX*LZ
IF(IELEM.NE.1) CALL XABORT('TRITRK: INVALID DISCRETIZATION.')
CALL TRIDFH(ISPLH,IPTRK,IDIM,LX,LZ,LL4,NUN,SIDE,ZZZ,ZZ,KN,QFR,
1 IQFR,VOL,MAT,IDL,NCODE,ICODE,ZCODE,IMPX)
IF(IMPX.GT.0) WRITE (6,'(/32H TRITRK: MESH CENTERED FINITE DI,
1 41HFFERENCES FOR HEXAGONAL GEOMETRY. ISPLH =,I3,1H.)') ISPLH
LL4W=LL4
LL4X=LL4
LL4Y=LL4
LL4Z=LL4
ENDIF
*----
* APPEND THE PN FLUXES AT THE END OF UNKNOWN VECTOR.
*----
IF(NLF.GE.2) THEN
IF((ITYPE.EQ.2).OR.((ITYPE.EQ.5).AND.(ISPN.EQ.1)).OR.
1 ((ITYPE.EQ.7).AND.(ISPN.EQ.1))) THEN
NUN=LL4+LL4*(NLF-2)/2
ELSE IF((ITYPE.EQ.8).AND.(ISPN.EQ.1)) THEN
NUN=NUN+NUN*(NLF-2)/2
ELSE IF((ITYPE.EQ.9).AND.(ISPN.EQ.1)) THEN
NUN=NUN+NUN*(NLF-2)/2
ELSE
CALL XABORT('TRITRK: GEOMETRY NOT SUPPORTED WITH PN.')
ENDIF
ENDIF
*----
* COMPUTE INDICES IDL FOR PRIMAL FINITE ELEMENTS.
*----
IF(ICHX.EQ.1) THEN
NUN=LL4
DO 130 K=1,NEL
IF(MAT(K).EQ.0) THEN
IDL(K)=0
ELSE
NUN=NUN+1
IDL(K)=NUN
ENDIF
130 CONTINUE
ENDIF
*
IF(IMPX.GT.0) WRITE (6,'(/34H TRITRK: ORDER OF LINEAR SYSTEMS =,
1 I8/9X,37HNUMBER OF UNKNOWNS PER ENERGY GROUP =,I8)') LL4,NUN
DEALLOCATE(ZZZ,YYY,XXX)
CALL KDRCPU(TK2)
IF(IMPX.GE.2) WRITE(6,'(/37H TRITRK: CPU TIME FOR FINITE ELEMENT ,
1 11HNUMBERING =,F7.2,2H S)') TK2-TK1
*----
* COMPUTE INDICES MUW, MUX, MUY, MUZ, IPW, IPX, IPY AND IPZ.
*----
CALL KDRCPU(TK1)
IF(CHEX) ALLOCATE(MUW(LL4))
ALLOCATE(MUX(LL4),MUY(LL4),MUZ(LL4))
IF(CHEX) ALLOCATE(IPW(LL4))
IF(ICHX.NE.2) THEN
ALLOCATE(IPX(LL4),IPY(LL4),IPZ(LL4))
DO 140 I=1,LL4
IPX(I)=I
140 CONTINUE
ENDIF
*
IF((ICHX.EQ.1).AND.(.NOT.CHEX)) THEN
CALL BIVCOL(IPTRK,IMPX,IELEM,2)
CALL TRICHP(IELEM,LX,LY,LZ,LL4,MAT,KN,MUX,MUY,MUZ,IPY,IPZ,IMPX)
ELSE IF((ICHX.EQ.2).AND.(.NOT.CHEX)) THEN
LL4W=0
CALL BIVCOL(IPTRK,IMPX,IELEM,ICOL)
CALL LCMSIX(IPTRK,'BIVCOL',1)
ALLOCATE(V((IELEM+1),IELEM))
CALL LCMGET(IPTRK,'V',V)
CALL LCMSIX(IPTRK,' ',2)
ALLOCATE(IPBBX(2*IELEM*LL4X),IPBBY(2*IELEM*LL4Y),
1 IPBBZ(2*IELEM*LL4Z))
ALLOCATE(BBX(2*IELEM*LL4X),BBY(2*IELEM*LL4Y),BBZ(2*IELEM*LL4Z))
CALL TRICHD(IMPX,LX,LY,LZ,CYLIND,IELEM,LL4,LL4F,LL4X,LL4Y,LL4Z,
1 MAT,VOL,XX,YY,ZZ,DD,KN,V,MUX,MUY,MUZ,IPBBX,IPBBY,IPBBZ,BBX,BBY,
2 BBZ)
IF(LL4X.GT.0) THEN
CALL LCMPUT(IPTRK,'IPBBX',2*IELEM*LL4X,1,IPBBX)
CALL LCMPUT(IPTRK,'XB',2*IELEM*LL4X,2,BBX)
ENDIF
IF(LL4Y.GT.0) THEN
CALL LCMPUT(IPTRK,'IPBBY',2*IELEM*LL4Y,1,IPBBY)
CALL LCMPUT(IPTRK,'YB',2*IELEM*LL4Y,2,BBY)
ENDIF
IF(LL4Z.GT.0) THEN
CALL LCMPUT(IPTRK,'IPBBZ',2*IELEM*LL4Z,1,IPBBZ)
CALL LCMPUT(IPTRK,'ZB',2*IELEM*LL4Z,2,BBZ)
ENDIF
DEALLOCATE(BBZ,BBY,BBX,IPBBZ,IPBBY,IPBBX)
DEALLOCATE(V)
ELSE IF((ICHX.EQ.3).AND.(.NOT.CHEX)) THEN
CALL TRICH1(IELEM,IDIM,LX,LY,LZ,LL4,MAT,KN,MUX,MUY,MUZ,IPY,
1 IPZ,IMPX)
ELSE IF((ICHX.EQ.1).AND.CHEX) THEN
CALL BIVCOL(IPTRK,IMPX,IELEM,2)
CALL TRICH3(ISPLH,IPTRK,LX,LZ,LL4,MAT,KN,MUW,MUX,MUY,MUZ,IPW,
1 IPX,IPY,IPZ,IMPX)
ELSE IF((ICHX.EQ.2).AND.CHEX) THEN
LXH=LX/(3*ISPLH**2)
NBLOS=LXH*LZ*ISPLH**2
ALLOCATE(IPERT(NBLOS),FRZ(NBLOS))
CALL LCMGET(IPTRK,'IPERT',IPERT)
CALL LCMGET(IPTRK,'FRZ',FRZ)
CALL BIVCOL(IPTRK,IMPX,IELEM,ICOL)
CALL LCMSIX(IPTRK,'BIVCOL',1)
ALLOCATE(V((IELEM+1),IELEM),H((IELEM+1),IELEM))
CALL LCMGET(IPTRK,'V',V)
CALL LCMGET(IPTRK,'H',H)
CALL LCMSIX(IPTRK,' ',2)
ALLOCATE(IPBBW(2*IELEM*LL4W),IPBBX(2*IELEM*LL4X),
1 IPBBY(2*IELEM*LL4Y),IPBBZ(2*IELEM*LL4Z))
ALLOCATE(BBW(2*IELEM*LL4W),BBX(2*IELEM*LL4X),
1 BBY(2*IELEM*LL4Y),BBZ(2*IELEM*LL4Z))
ALLOCATE(CTRAN(((IELEM+1)*IELEM)**2))
CALL TRICHH(IMPX,MAXKN,NBLOS,LXH,LZ,IELEM,ISPLH,LL4,LL4F,LL4W,
1 LL4X,LL4Y,LL4Z,SIDE,ZZ,FRZ,IPERT,KN,V,H,MUW,MUX,MUY,MUZ,IPBBW,
2 IPBBX,IPBBY,IPBBZ,BBW,BBX,BBY,BBZ,CTRAN)
CALL LCMPUT(IPTRK,'CTRAN',((IELEM+1)*IELEM)**2,4,CTRAN)
CALL LCMPUT(IPTRK,'IPBBW',2*IELEM*LL4W,1,IPBBW)
CALL LCMPUT(IPTRK,'WB',2*IELEM*LL4W,2,BBW)
CALL LCMPUT(IPTRK,'IPBBX',2*IELEM*LL4X,1,IPBBX)
CALL LCMPUT(IPTRK,'XB',2*IELEM*LL4X,2,BBX)
CALL LCMPUT(IPTRK,'IPBBY',2*IELEM*LL4Y,1,IPBBY)
CALL LCMPUT(IPTRK,'YB',2*IELEM*LL4Y,2,BBY)
IF(LL4Z.GT.0) THEN
CALL LCMPUT(IPTRK,'IPBBZ',2*IELEM*LL4Z,1,IPBBZ)
CALL LCMPUT(IPTRK,'ZB',2*IELEM*LL4Z,2,BBZ)
ENDIF
DEALLOCATE(BBZ,BBY,BBX,BBW,IPBBZ,IPBBY,IPBBX,IPBBW)
DEALLOCATE(H,V,CTRAN,FRZ,IPERT)
ELSE IF((ICHX.EQ.3).AND.CHEX) THEN
CALL TRICH4(ISPLH,IPTRK,IDIM,LX,LZ,LL4,MAT,KN,MUW,MUX,MUY,MUZ,
1 IPW,IPX,IPY,IPZ,IMPX)
ENDIF
CALL KDRCPU(TK2)
IF(IMPX.GE.2) WRITE(6,'(/36H TRITRK: CPU TIME FOR ADI SPLITTING ,
1 11HNUMBERING =,F7.2,2H S)') TK2-TK1
IF(IMPX.GT.5) THEN
I1=1
DO 150 I=1,(NEL-1)/8+1
I2=I1+7
IF(I2.GT.NEL) I2=NEL
WRITE (6,620) (J,J=I1,I2)
WRITE (6,630) (MAT(J),J=I1,I2)
WRITE (6,640) (IDL(J),J=I1,I2)
WRITE (6,650) (VOL(J),J=I1,I2)
I1=I1+8
150 CONTINUE
ENDIF
*----
* SUPERVECTORIZATION CONTROL.
*----
LTSW=0
IF(ISEG.GT.0) THEN
CALL KDRCPU(TK1)
ALLOCATE(ISET(LL4))
IF(CHEX) THEN
ISET(1)=0
K1=MUW(1)+1
DO 160 I=2,LL4W
ISET(I)=0
K2=MUW(I)
DO 155 J=I-K2+K1,I-1
ISET(J)=1
155 CONTINUE
K1=K2+1
160 CONTINUE
NSYS=0
DO 165 I=1,LL4W
IF(ISET(I).EQ.0) NSYS=NSYS+1
165 CONTINUE
LONW=1+(NSYS-1)/ISEG
ALLOCATE(NBLW(LONW),LBLW(LONW),MUVW(LONW),IPVW(LONW))
CALL VECPER('W',IMPV,ISEG,LL4W,MUW,LONW,LTSW2,NBLW,LBLW,
1 MUVW,IPVW)
IMU=0
DO 166 I=1,LONW
IMU=IMU+LBLW(I)
166 CONTINUE
LTSW=MAX(LTSW,LTSW2)
CALL LCMPUT(IPTRK,'NBLW',LONW,1,NBLW)
CALL LCMPUT(IPTRK,'LBLW',LONW,1,LBLW)
CALL LCMPUT(IPTRK,'MUVW',IMU,1,MUVW)
CALL LCMPUT(IPTRK,'IPVW',LL4W,1,IPVW)
DEALLOCATE(IPVW,MUVW,LBLW,NBLW)
IMU=IMU*ISEG
CALL LCMPUT(IPTRK,'LL4VW',1,1,IMU)
ENDIF
IF(IDIAG.EQ.0) THEN
ISET(1)=0
K1=MUX(1)+1
DO 175 I=2,LL4X
ISET(I)=0
K2=MUX(I)
DO 170 J=I-K2+K1,I-1
ISET(J)=1
170 CONTINUE
K1=K2+1
175 CONTINUE
NSYS=0
DO 180 I=1,LL4X
IF(ISET(I).EQ.0) NSYS=NSYS+1
180 CONTINUE
LONX=1+(NSYS-1)/ISEG
ALLOCATE(NBLX(LONX),LBLX(LONX),MUVX(LONX),IPVX(LONX))
CALL VECPER('X',IMPV,ISEG,LL4X,MUX,LONX,LTSW2,NBLX,LBLX,
1 MUVX,IPVX)
IMU=0
DO 185 I=1,LONX
IMU=IMU+LBLX(I)
185 CONTINUE
LTSW=MAX(LTSW,LTSW2)
CALL LCMPUT(IPTRK,'NBLX',LONX,1,NBLX)
CALL LCMPUT(IPTRK,'LBLX',LONX,1,LBLX)
CALL LCMPUT(IPTRK,'MUVX',IMU,1,MUVX)
CALL LCMPUT(IPTRK,'IPVX',LL4X,1,IPVX)
DEALLOCATE(IPVX,MUVX,LBLX,NBLX)
IMU=IMU*ISEG
CALL LCMPUT(IPTRK,'LL4VX',1,1,IMU)
ENDIF
IF(IDIM.GE.2) THEN
ISET(1)=0
K1=MUY(1)+1
DO 200 I=2,LL4Y
ISET(I)=0
K2=MUY(I)
DO 190 J=I-K2+K1,I-1
ISET(J)=1
190 CONTINUE
K1=K2+1
200 CONTINUE
NSYS=0
DO 210 I=1,LL4Y
IF(ISET(I).EQ.0) NSYS=NSYS+1
210 CONTINUE
LONY=1+(NSYS-1)/ISEG
ALLOCATE(NBLY(LONY),LBLY(LONY),MUVY(LONY),IPVY(LONY))
CALL VECPER('Y',IMPV,ISEG,LL4Y,MUY,LONY,LTSW2,NBLY,LBLY,
1 MUVY,IPVY)
IMU=0
DO 215 I=1,LONY
IMU=IMU+LBLY(I)
215 CONTINUE
LTSW=MAX(LTSW,LTSW2)
CALL LCMPUT(IPTRK,'NBLY',LONY,1,NBLY)
CALL LCMPUT(IPTRK,'LBLY',LONY,1,LBLY)
CALL LCMPUT(IPTRK,'MUVY',IMU,1,MUVY)
CALL LCMPUT(IPTRK,'IPVY',LL4Y,1,IPVY)
DEALLOCATE(IPVY,MUVY,LBLY,NBLY)
IMU=IMU*ISEG
CALL LCMPUT(IPTRK,'LL4VY',1,1,IMU)
ENDIF
IF(IDIM.EQ.3) THEN
ISET(1)=0
K1=MUZ(1)+1
DO 230 I=2,LL4Z
ISET(I)=0
K2=MUZ(I)
DO 220 J=I-K2+K1,I-1
ISET(J)=1
220 CONTINUE
K1=K2+1
230 CONTINUE
NSYS=0
DO 240 I=1,LL4Z
IF(ISET(I).EQ.0) NSYS=NSYS+1
240 CONTINUE
LONZ=1+(NSYS-1)/ISEG
ALLOCATE(NBLZ(LONZ),LBLZ(LONZ),MUVZ(LONZ),IPVZ(LONZ))
CALL VECPER('Z',IMPV,ISEG,LL4Z,MUZ,LONZ,LTSW2,NBLZ,LBLZ,
1 MUVZ,IPVZ)
IMU=0
DO 250 I=1,LONZ
IMU=IMU+LBLZ(I)
250 CONTINUE
LTSW=MAX(LTSW,LTSW2)
CALL LCMPUT(IPTRK,'NBLZ',LONZ,1,NBLZ)
CALL LCMPUT(IPTRK,'LBLZ',LONZ,1,LBLZ)
CALL LCMPUT(IPTRK,'MUVZ',IMU,1,MUVZ)
CALL LCMPUT(IPTRK,'IPVZ',LL4Z,1,IPVZ)
DEALLOCATE(IPVZ,MUVZ,LBLZ,NBLZ)
IMU=IMU*ISEG
CALL LCMPUT(IPTRK,'LL4VZ',1,1,IMU)
ENDIF
DEALLOCATE(ISET)
CALL KDRCPU(TK2)
IF(IMPX.GE.2) WRITE(6,'(/33H TRITRK: CPU TIME FOR SUPERVECTOR,
1 19HIZATION NUMBERING =,F7.2,2H S)') TK2-TK1
ENDIF
*----
* SAVE STATE-VECTOR AND TRACKING INFORMATION.
*----
IGP(:NSTATE)=0
IGP(1)=NEL
IGP(2)=NUN
IF(ILK) THEN
IGP(3)=0
ELSE
IGP(3)=1
ENDIF
IGP(4)=ISTATE(7)
IGP(5)=0
IGP(6)=ITYPE
IGP(7)=IHEX
IGP(8)=IDIAG
IGP(9)=IELEM
IGP(10)=ICOL
IGP(11)=LL4
IGP(12)=ICHX
IGP(13)=ISPLH
IGP(14)=LX
IGP(15)=LY
IGP(16)=LZ
IGP(17)=ISEG
IF(ISEG.NE.0) THEN
IGP(18)=IMPV
IGP(19)=LTSW
IGP(20)=LONW
IGP(21)=LONX
IGP(22)=LONY
IGP(23)=LONZ
ENDIF
IGP(24)=NR0
IF(ICHX.EQ.2) THEN
IGP(25)=LL4F
IGP(26)=LL4W
IGP(27)=LL4X
IGP(28)=LL4Y
IGP(29)=LL4Z
ENDIF
IGP(30)=NLF
IGP(31)=ISPN
IGP(32)=ISCAT
IGP(33)=NADI
IGP(34)=NVD
CALL LCMPUT(IPTRK,'STATE-VECTOR',NSTATE,1,IGP)
CALL LCMPUT(IPTRK,'MATCOD',NEL,1,MAT)
CALL LCMPUT(IPTRK,'VOLUME',NEL,2,VOL)
CALL LCMPUT(IPTRK,'KEYFLX',NEL,1,IDL)
CALL LCMPUT(IPTRK,'NCODE',6,1,NCODE)
CALL LCMPUT(IPTRK,'ZCODE',6,2,ZCODE)
CALL LCMPUT(IPTRK,'ICODE',6,1,ICODE)
CALL LCMPUT(IPTRK,'ZZ',NEL,2,ZZ)
CALL LCMPUT(IPTRK,'KN',MAXKN,1,KN)
CALL LCMPUT(IPTRK,'QFR',MAXQF,2,QFR)
CALL LCMPUT(IPTRK,'IQFR',MAXQF,1,IQFR)
IF(ICHX.NE.2) THEN
CALL LCMPUT(IPTRK,'IPX',LL4,1,IPX)
DEALLOCATE(IPX)
ENDIF
IF(CHEX) THEN
CALL LCMPUT(IPTRK,'SIDE',1,2,SIDE)
CALL LCMPUT(IPTRK,'MUW',LL4W,1,MUW)
IF(ICHX.NE.2) THEN
CALL LCMPUT(IPTRK,'IPW',LL4,1,IPW)
DEALLOCATE(IPW)
ENDIF
DEALLOCATE(MUW)
ELSE
CALL LCMPUT(IPTRK,'XX',NEL,2,XX)
CALL LCMPUT(IPTRK,'YY',NEL,2,YY)
IF(.NOT.CYLIND) DD=0.0
CALL LCMPUT(IPTRK,'DD',MAXDD,2,DD)
ENDIF
DEALLOCATE(XX,YY,ZZ,DD,KN,QFR,IQFR)
IF((IDIAG.EQ.0).AND.(LL4X.GT.0)) THEN
CALL LCMPUT(IPTRK,'MUX',LL4X,1,MUX)
ENDIF
IF((IDIM.GE.2).AND.(LL4Y.GT.0)) THEN
CALL LCMPUT(IPTRK,'MUY',LL4Y,1,MUY)
IF(ICHX.NE.2) THEN
CALL LCMPUT(IPTRK,'IPY',LL4,1,IPY)
DEALLOCATE(IPY)
ENDIF
ELSE
IF(ICHX.NE.2) DEALLOCATE(IPY)
ENDIF
IF((IDIM.EQ.3).AND.(LL4Z.GT.0)) THEN
CALL LCMPUT(IPTRK,'MUZ',LL4Z,1,MUZ)
IF(ICHX.NE.2) THEN
CALL LCMPUT(IPTRK,'IPZ',LL4,1,IPZ)
DEALLOCATE(IPZ)
ENDIF
ELSE
IF(ICHX.NE.2) DEALLOCATE(IPZ)
ENDIF
DEALLOCATE(MUZ,MUY,MUX)
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(MAT,IDL,VOL)
RETURN
*
600 FORMAT(/26H TRITRK: VALUES OF VECTOR ,A6,4H ARE/(1X,1P,20I6))
620 FORMAT (///11H REGION ,8(I8,6X,1HI))
630 FORMAT ( 11H MIXTURE ,8(I8,6X,1HI))
640 FORMAT ( 11H POINTER ,8(I8,6X,1HI))
650 FORMAT ( 11H VOLUME ,8(1P,E13.6,2H I))
END
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