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*DECK KINB03
SUBROUTINE KINB03(MAXKN,MAXQF,SGD,NREG,LL4,ISPLH,NELEM,NBMIX,
1 MAT,KN,QFR,VOL,RH,RT,F2,F3)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Multiplication of a matrix by a vector in mesh-corner finite-
* difference diffusion approximation (hexagonal geometry). Special
* version for Bivac.
*
*Copyright:
* Copyright (C) 2010 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
* MAXKN dimension of array KN.
* MAXQF dimension of array QFR.
* SGD mixture-ordered cross sections.
* NREG number of hexagons in Bivac.
* LL4 number of unknowns (order of the system matrices).
* ISPLH hexagonal geometry flag:
* =1: hexagonal elements; >1: triangular elements.
* NELEM number of finite elements (hexagons or triangles) excluding
* the virtual elements.
* NBMIX number of macro-mixtures.
* MAT mixture index per hexagon.
* KN element-ordered unknown list.
* QFR element-ordered information.
* VOL volume of the hexagons.
* RH unit matrix.
* RT unit matrix.
* F2 vector to multiply.
*
*Parameters: output
* F3 result of the multiplication.
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER MAXKN,MAXQF,NREG,LL4,ISPLH,NELEM,NBMIX,MAT(NREG),KN(MAXKN)
REAL SGD(NBMIX),QFR(MAXQF),VOL(NREG),RH(6,6),RT(3,3),F2(LL4),
1 F3(LL4)
*----
* LOCAL VARIABLES
*----
DOUBLE PRECISION RRH
INTEGER ISR(6,2),ISRH(6,2),ISRT(3,2)
REAL RH2(6,6)
DATA ISRH/2,1,4,5,6,3,1,4,5,6,3,2/
DATA ISRT/1,2,3,2,3,1/
*----
* RECOVER THE HEXAGONAL MASS (RH2) AND STIFFNESS (QH2) MATRICES.
*----
IF(ISPLH.EQ.1) THEN
* HEXAGONAL BASIS.
LH=6
DO 15 I=1,6
DO 10 J=1,2
ISR(I,J)=ISRH(I,J)
10 CONTINUE
15 CONTINUE
DO 25 I=1,6
DO 20 J=1,6
RH2(I,J)=RH(I,J)
20 CONTINUE
25 CONTINUE
CONST=1.5*SQRT(3.0)
ELSE
* TRIANGULAR BASIS.
LH=3
DO 35 I=1,3
DO 30 J=1,2
ISR(I,J)=ISRT(I,J)
30 CONTINUE
35 CONTINUE
DO 45 I=1,3
DO 40 J=1,3
RH2(I,J)=RT(I,J)
40 CONTINUE
45 CONTINUE
CONST=0.25*SQRT(3.0)
ENDIF
*----
* MULTIPLICATION
*----
NUM1=0
DO 80 K=1,NELEM
KHEX=KN(NUM1+LH+1)
IF(VOL(KHEX).EQ.0.0) GO TO 70
L=MAT(KHEX)
VOL0=QFR(NUM1+LH+1)
DO 60 I=1,LH
IND1=KN(NUM1+I)
IF(IND1.EQ.0) GO TO 60
DO 50 J=1,LH
IND2=KN(NUM1+J)
IF(IND2.EQ.0) GO TO 50
RRH=RH2(I,J)/CONST
IF(RRH.EQ.0.0) GO TO 50
F3(IND1)=F3(IND1)+REAL(RRH)*SGD(L)*VOL0*F2(IND2)
50 CONTINUE
60 CONTINUE
70 NUM1=NUM1+LH+1
80 CONTINUE
RETURN
END
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