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*DECK TRIASP
SUBROUTINE TRIASP (IELEM,IR,NEL,LL4,CYLIND,SGD,XX,DD,VOL,MAT,KN,
1 LC,T,TS,VEC)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Assembly of a diagonal system matrix corresponding to a single cross
* section type (primal formulation). Note: vector VEC should be
* initialized by the calling program.
*
*Copyright:
* Copyright (C) 2002 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
* IELEM degree of the Lagrangian finite elements.
* IR number of material mixtures.
* NEL total number of finite elements.
* ll4 order of system matrices.
* CYLIND cylinderization flag (=.true. for cylindrical geometry).
* SGD cross section per material mixture.
* XX X-directed mesh spacings.
* DD used with cylindrical geometry.
* VOL volume of each element.
* MAT mixture index assigned to each element.
* KN element-ordered unknown list.
* LC order of the unit matrices.
* T Cartesian linear product vector.
* TS cylindrical linear product vector.
*
*Parameters: output
* VEC diagonal matrix corresponding to the cross section term.
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER IELEM,IR,NEL,LL4,MAT(NEL),KN(NEL*(IELEM+1)**3),LC
REAL SGD(IR),XX(NEL),DD(NEL),VOL(NEL),T(LC),TS(LC),VEC(LL4)
LOGICAL CYLIND
*----
* LOCAL VARIABLES
*----
REAL R3DP(125),R3DC(125)
*----
* CALCULATION OF 3-D MASS MATRICES FROM TENSORIAL PRODUCT OF 1-D
* MATRICES
*----
LL=LC*LC*LC
DO 20 L=1,LL
L1=1+MOD(L-1,LC)
L2=1+(L-L1)/LC
L3=1+MOD(L2-1,LC)
I1=L1
I2=L3
I3=1+(L2-L3)/LC
R3DP(L)=T(I1)*T(I2)*T(I3)
R3DC(L)=TS(I1)*T(I2)*T(I3)
20 CONTINUE
*
NUM1=0
DO 90 K=1,NEL
L=MAT(K)
IF(L.EQ.0) GO TO 90
VOL0=VOL(K)
IF(VOL0.EQ.0.0) GO TO 80
DX=XX(K)
DO 50 I=1,LL
IND1=KN(NUM1+I)
IF(IND1.EQ.0) GO TO 50
IF(CYLIND) THEN
RR=(R3DP(I)+R3DC(I)*DX/DD(K))*VOL0
ELSE
RR=R3DP(I)*VOL0
ENDIF
VEC(IND1)=VEC(IND1)+RR*SGD(L)
50 CONTINUE
80 NUM1=NUM1+LL
90 CONTINUE
RETURN
END
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