*DECK KINT03 SUBROUTINE KINT03(MAXKN,ISPLH,NBMIX,NEL,LL4,SGD,SIDE,ZZ,VOL,MAT, 1 KN,R,RH,RT,F2,F3) * *----------------------------------------------------------------------- * *Purpose: * Multiplication of a matrix by a vector in mesh-corner finite * difference approximation (hexagonal geometry). Special version for * Trivac. * *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 * ISPLH type of mesh-splitting: =1 for complete hexagons; .gt.1 for * triangle mesh-splitting. * NBMIX number of material mixtures. * NEL total number of finite elements. * LL4 order of system matrices. * SGD cross section per material mixture. * SIDE dide of an hexagon. * ZZ height of each hexagon. * VOL volume of each element. * MAT mixture index assigned to each element. * KN element-ordered unknown list. * R unit matrix. * RH unit matrix. * RT unit matrix. * F2 vector to multiply. * *Parameters: output * F3 result of the multiplication. * *----------------------------------------------------------------------- * *---- * SUBROUTINE ARGUMENTS *---- INTEGER MAXKN,ISPLH,NBMIX,NEL,LL4,MAT(NEL),KN(MAXKN) REAL SGD(NBMIX),SIDE,ZZ(NEL),VOL(NEL),R(2,2),RH(6,6),RT(3,3), 1 F2(LL4),F3(LL4) *---- * LOCAL VARIABLES *---- INTEGER ILIEN(6,3),IJ17(14),IJ27(14),IJ16(12),IJ26(12),IJ1(14), 1 IJ2(14) REAL RH2(7,7) DOUBLE PRECISION RR,VOL1,RTHG(14,14) DATA ILIEN/6*4,2,1,5,6,7,3,1,5,6,7,3,2/ DATA IJ16,IJ26 /1,2,3,4,5,6,1,2,3,4,5,6,6*1,6*2/ DATA IJ17,IJ27 /1,2,3,4,5,6,7,1,2,3,4,5,6,7,7*1,7*2/ *---- * COMPUTE THE HEXAGONAL MASS (RH2). *---- IF(ISPLH.EQ.1) THEN LC=6 DO 20 I=1,2*LC IJ1(I)=IJ16(I) IJ2(I)=IJ26(I) 20 CONTINUE DO 41 I=1,LC DO 40 J=1,LC RH2(I,J)=RH(I,J) 40 CONTINUE 41 CONTINUE ELSE LC=7 DO 60 I=1,2*LC IJ1(I)=IJ17(I) IJ2(I)=IJ27(I) 60 CONTINUE DO 76 I=1,LC DO 75 J=1,LC RH2(I,J)=0.0 75 CONTINUE 76 CONTINUE DO 82 K=1,6 DO 81 I=1,3 NUMI=ILIEN(K,I) DO 80 J=1,3 NUMJ=ILIEN(K,J) RH2(NUMI,NUMJ)=RH2(NUMI,NUMJ)+RT(I,J) 80 CONTINUE 81 CONTINUE 82 CONTINUE ENDIF LL=2*LC *---- * CALCULATION OF 3-D MASS AND STIFFNESS MATRICES FROM TENSORIAL PRODUCT * OF 1-D AND 2-D MATRICES. *---- DO 91 I=1,LL I1=IJ1(I) I2=IJ2(I) DO 90 J=1,LL J1=IJ1(J) J2=IJ2(J) RTHG(I,J)=RH2(I1,J1)*R(I2,J2) 90 CONTINUE 91 CONTINUE * NUM1=0 VOL1=SIDE*SIDE DO 160 K=1,NEL L=MAT(K) IF(L.EQ.0) GO TO 160 IF(VOL(K).EQ.0.0) GO TO 150 DO 110 I=1,LL INW1=KN(NUM1+I) IF(INW1.EQ.0) GO TO 110 RR=RTHG(I,I)*VOL1*ZZ(K) F3(INW1)=F3(INW1)+REAL(RR)*SGD(L)*F2(INW1) 110 CONTINUE 150 NUM1=NUM1+LL 160 CONTINUE RETURN END