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*DECK KINB01
SUBROUTINE KINB01(MAXKN,SGD,CYLIND,NREG,LL4,NBMIX,XX,DD,MAT,KN,
1 VOL,LC,R,RS,F2,F3)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Multiplication of a matrix by a vector in primal finite element
* diffusion approximation (Cartesian 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.
* SGD mixture-ordered cross sections.
* CYLIND cylinderization flag (=.true. for cylindrical geometry).
* NREG number of elements in Bivac.
* LL4 order of matrix SYS.
* NBMIX number of macro-mixtures.
* XX X-directed mesh spacings.
* DD value used with a cylindrical geometry.
* MAT mixture index per region.
* KN element-ordered unknown list.
* VOL volume of regions.
* LC number of polynomials in a complete 1-D basis.
* R Cartesian mass matrix.
* RS cylindrical mass matrix.
* F2 vector to multiply.
*
*Parameters: output
* F3 result of the multiplication.
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER MAXKN,NREG,LL4,NBMIX,MAT(NREG),KN(MAXKN),LC
REAL SGD(NBMIX),XX(NREG),DD(NREG),VOL(NREG),R(LC,LC),RS(LC,LC),
1 F2(LL4),F3(LL4)
LOGICAL CYLIND
*----
* LOCAL VARIABLES
*----
INTEGER IJ1(25),IJ2(25)
REAL R2DP(25,25),R2DC(25,25)
*----
* COMPUTE VECTORS IJ1 AND IJ2.
*----
LL=LC*LC
DO 10 I=1,LL
IJ1(I)=1+MOD(I-1,LC)
IJ2(I)=1+(I-IJ1(I))/LC
10 CONTINUE
*----
* COMPUTE THE CARTESIAN 2-D MASS MATRICES FROM TENSORIAL PRODUCTS OF
* 1-D MATRICES.
*----
DO 25 I=1,LL
I1=IJ1(I)
I2=IJ2(I)
DO 20 J=1,LL
J1=IJ1(J)
J2=IJ2(J)
R2DP(I,J)=R(I1,J1)*R(I2,J2)
R2DC(I,J)=RS(I1,J1)*R(I2,J2)
20 CONTINUE
25 CONTINUE
*----
* MULTIPLICATION.
*----
NUM1=0
DO 60 K=1,NREG
L=MAT(K)
IF(L.EQ.0) GO TO 60
IF(VOL(K).EQ.0.0) GO TO 50
DX=XX(K)
DO 40 I=1,LL
IND1=KN(NUM1+I)
IF(IND1.EQ.0) GO TO 40
DO 30 J=1,LL
IND2=KN(NUM1+J)
IF(IND2.EQ.0) GO TO 30
IF(CYLIND) THEN
RR=R2DP(I,J)+R2DC(I,J)*DX/DD(K)
ELSE
RR=R2DP(I,J)
ENDIF
IF(RR.EQ.0.0) GO TO 30
F3(IND1)=F3(IND1)+RR*SGD(L)*VOL(K)*F2(IND2)
30 CONTINUE
40 CONTINUE
50 NUM1=NUM1+LL
60 CONTINUE
RETURN
END
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