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authorstainer_t <thomas.stainer@oecd-nea.org>2025-09-08 13:48:49 +0200
committerstainer_t <thomas.stainer@oecd-nea.org>2025-09-08 13:48:49 +0200
commit7dfcc480ba1e19bd3232349fc733caef94034292 (patch)
tree03ee104eb8846d5cc1a981d267687a729185d3f3 /Trivac/src/KINB01.f
Initial commit from Polytechnique Montreal
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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