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*DECK BIVS02
SUBROUTINE BIVS02(CYLIND,IELEM,ICOL,NREG,NUN,LL4,IIMAX,MAT,KN,BFR,
1 VOL,MU,SOURCE,SYS,FUNKNO)
*
*-----------------------------------------------------------------------
*
*Purpose:
* One-speed flux calculation in mixed-dual finite element approximation
* (Cartesian 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. Hebert
*
*Parameters: input
* CYLIND cylinderization flag (=.TRUE. for cylindrical geometry).
* 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).
* NREG number of elements in BIVAC.
* NUN dimension of array FUNKNO.
* LL4 number of unknowns per group in BIVAC.
* IIMAX allocated dimension of array SYS.
* MAT mixture index per region.
* KN element-ordered unknown list.
* BFR element-ordered surface fractions.
* VOL volume of regions.
* MU indices used with compressed diagonal storage mode matrix SYS.
* SOURCE fission and diffusion sources.
* SYS factorized system matrix.
*
*Parameters: output
* FUNKNO neutron fluxes (surface-averaged flux are in position
* FUNKNO(NUN)).
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER IELEM,ICOL,NREG,NUN,LL4,IIMAX,MAT(NREG),KN(5*NREG),
1 MU(LL4)
REAL BFR(4*NREG),VOL(NREG),SOURCE(LL4),SYS(IIMAX),FUNKNO(NUN)
LOGICAL CYLIND
*
IF((CYLIND).AND.((IELEM.GT.1).OR.(ICOL.NE.2)))
1 CALL XABORT('BIVS02: TYPE OF DISCRETIZATION NOT IMPLEMENTED.')
*----
* RESOLUTION.
*----
DO 90 I=1,LL4
FUNKNO(I)=SOURCE(I)
90 CONTINUE
CALL ALLDLS (LL4,MU,SYS,FUNKNO)
*----
* CALCULATION OF THE SURFACE-AVERAGED FLUX.
*----
FUNKNO(NUN)=0.0
NUM1=0
NUM2=0
DO 160 K=1,NREG
IF(MAT(K).EQ.0) GO TO 160
IF(VOL(K).EQ.0.0) GO TO 150
IF(BFR(NUM2+1).GT.0.0) THEN
SG=1.0
DO 110 I0=1,IELEM
IND1=KN(NUM1+1)+I0-1
FUNKNO(NUN)=FUNKNO(NUN)+SG*SQRT(REAL(2*I0-1))*FUNKNO(IND1)*
1 BFR(NUM2+1)
SG=-SG
110 CONTINUE
ENDIF
IF(BFR(NUM2+2).GT.0.0) THEN
DO 120 I0=1,IELEM
IND1=KN(NUM1+1)+I0-1
FUNKNO(NUN)=FUNKNO(NUN)+SQRT(REAL(2*I0-1))*FUNKNO(IND1)*
1 BFR(NUM2+2)
120 CONTINUE
ENDIF
IF(BFR(NUM2+3).GT.0.0) THEN
SG=1.0
DO 130 I0=1,IELEM
IND1=KN(NUM1+1)+(I0-1)*IELEM
FUNKNO(NUN)=FUNKNO(NUN)+SG*SQRT(REAL(2*I0-1))*FUNKNO(IND1)*
1 BFR(NUM2+3)
SG=-SG
130 CONTINUE
ENDIF
IF(BFR(NUM2+4).GT.0.0) THEN
DO 140 I0=1,IELEM
IND1=KN(NUM1+1)+(I0-1)*IELEM
FUNKNO(NUN)=FUNKNO(NUN)+SQRT(REAL(2*I0-1))*FUNKNO(IND1)*
1 BFR(NUM2+4)
140 CONTINUE
ENDIF
150 NUM1=NUM1+5
NUM2=NUM2+4
160 CONTINUE
RETURN
END
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