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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/KINT02.f
Initial commit from Polytechnique Montreal
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+*DECK KINT02
+ SUBROUTINE KINT02(MAXKN,SGD,IELEM,ICHX,IDIM,NREG,LL4,NBMIX,MAT,
+ 1 KN,VOL,F2,F3)
+*
+*-----------------------------------------------------------------------
+*
+*Purpose:
+* Multiplication of a matrix by a vector in mixed-dual finite element
+* diffusion approximation (Cartesian 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
+* MAXKN dimension of array KN.
+* SGD mixture-ordered cross sections.
+* IELEM degree of the Lagrangian finite elements: =1 (linear);
+* =2 (parabolic); =3 (cubic); =4 (quartic).
+* ICHX type of discretization method:
+* =2: dual finite element approximations;
+* =3: nodal collocation method with full tensorial products;
+* =4: nodal collocation method with serendipity approximation.
+* IDIM number of dimensions.
+* NREG number of elements in Trivac.
+* LL4 number of unknowns per group in Trivac.
+* NBMIX number of macro-mixtures.
+* MAT mixture index per region.
+* KN element-ordered unknown list.
+* VOL volume of regions.
+* F2 vector to multiply.
+*
+*Parameters: output
+* F3 result of the multiplication.
+*
+*-----------------------------------------------------------------------
+*
+*----
+* SUBROUTINE ARGUMENTS
+*----
+ INTEGER MAXKN,IELEM,ICHX,IDIM,NREG,LL4,NBMIX,MAT(NREG),KN(MAXKN)
+ REAL SGD(NBMIX),VOL(NREG),F2(LL4),F3(LL4)
+*----
+* LOCAL VARIABLES
+*----
+ INTEGER, DIMENSION(:), ALLOCATABLE :: IGAR
+*
+ IORD(J,K,L,LL,IEL,IW)=(IEL*L+K)*LL*IEL+(1+IEL*(IW-1))+J
+*
+ IORL(J,K,L,LL,IEL,IW)=
+ 1 1+LL*(L*(IEL*(IEL+1))/2-(L*(L-1)*(3*IEL-L+2))/6
+ 2 +K*(IEL-L)-(K*(K-1))/2)+(IEL-K-L)*(IW-1)+J
+*----
+* SCRATCH STORAGE ALLOCATION
+*----
+ ALLOCATE(IGAR(NREG))
+*
+ IF(ICHX.EQ.2) THEN
+* DUAL FINITE ELEMENT METHOD.
+ NUM1=0
+ DO 30 K=1,NREG
+ L=MAT(K)
+ IF(L.EQ.0) GO TO 30
+ VOL0=VOL(K)
+ IF(VOL0.EQ.0.0) GO TO 20
+ DO 12 K3=0,IELEM-1
+ DO 11 K2=0,IELEM-1
+ DO 10 K1=0,IELEM-1
+ IND1=KN(NUM1+1)+(K3*IELEM+K2)*IELEM+K1
+ F3(IND1)=F3(IND1)+VOL0*SGD(L)*F2(IND1)
+ 10 CONTINUE
+ 11 CONTINUE
+ 12 CONTINUE
+ 20 NUM1=NUM1+1+6*IELEM**2
+ 30 CONTINUE
+ ELSE IF(ICHX.EQ.3) THEN
+* NODAL COLLOCATION METHOD WITH FULL TENSORIAL PRODUCTS.
+ LNUN=0
+ DO 40 K=1,NREG
+ IF(MAT(K).EQ.0) GO TO 40
+ LNUN=LNUN+1
+ IGAR(K)=LNUN
+ 40 CONTINUE
+*
+ DO 70 K=1,NREG
+ L=MAT(K)
+ IF(L.EQ.0) GO TO 70
+ VOL0=VOL(K)
+ IF(VOL0.EQ.0.0) GO TO 70
+ DO 65 I3=0,IELEM-1
+ DO 60 I2=0,IELEM-1
+ DO 50 I1=0,IELEM-1
+ INX1=IORD(I1,I2,I3,LNUN,IELEM,IGAR(K))
+ F3(INX1)=F3(INX1)+VOL0*SGD(L)*F2(INX1)
+ 50 CONTINUE
+ IF((IDIM.EQ.1).AND.(I2.EQ.0)) GO TO 70
+ IF((IDIM.EQ.2).AND.(I2.EQ.IELEM-1)) GO TO 70
+ 60 CONTINUE
+ 65 CONTINUE
+ 70 CONTINUE
+ ELSE IF(ICHX.EQ.4) THEN
+* NODAL COLLOCATION METHOD WITH SERENDIPITY APPROXIMATION.
+ LNUN=0
+ DO 80 K=1,NREG
+ IF(MAT(K).EQ.0) GO TO 80
+ LNUN=LNUN+1
+ IGAR(K)=LNUN
+ 80 CONTINUE
+*
+ DO 110 K=1,NREG
+ L=MAT(K)
+ IF(L.EQ.0) GO TO 110
+ VOL0=VOL(K)
+ IF(VOL0.EQ.0.0) GO TO 110
+ DO 105 I3=0,IELEM-1
+ DO 100 I2=0,IELEM-1-I3
+ DO 90 I1=0,IELEM-1-I2-I3
+ INX1=IORL(I1,I2,I3,LNUN,IELEM,IGAR(K))
+ F3(INX1)=F3(INX1)+VOL0*SGD(L)*F2(INX1)
+ 90 CONTINUE
+ IF((IDIM.EQ.1).AND.(I2.EQ.0)) GO TO 110
+ IF((IDIM.EQ.2).AND.(I2.EQ.IELEM-1)) GO TO 110
+ 100 CONTINUE
+ 105 CONTINUE
+ 110 CONTINUE
+ ENDIF
+*----
+* SCRATCH STORAGE DEALLOCATION
+*----
+ DEALLOCATE(IGAR)
+ RETURN
+ END