From 7dfcc480ba1e19bd3232349fc733caef94034292 Mon Sep 17 00:00:00 2001
From: stainer_t <thomas.stainer@oecd-nea.org>
Date: Mon, 8 Sep 2025 13:48:49 +0200
Subject: Initial commit from Polytechnique Montreal

---
 Trivac/src/KINB01.f | 104 ++++++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 104 insertions(+)
 create mode 100755 Trivac/src/KINB01.f

(limited to 'Trivac/src/KINB01.f')

diff --git a/Trivac/src/KINB01.f b/Trivac/src/KINB01.f
new file mode 100755
index 0000000..efb6028
--- /dev/null
+++ b/Trivac/src/KINB01.f
@@ -0,0 +1,104 @@
+*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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