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*DECK NSS5TR
SUBROUTINE NSS5TR(NEL,NMIX,MAT,IQFR,QFR,SIGT,FD,A11)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Assembly of non-leakage system matrices for the coarse mesh finite
* difference method.
*
*Copyright:
* Copyright (C) 2021 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
* NEL number of nodes
* NMIX number of mixtures
* MAT node mixtures
* IQFR boundary conditions
* QFR albedo functions
* SIGT macroscopic cross section.
* FD discontinuity factors
*
*Parameters: output
* A11 assembly matrix.
*
*-----------------------------------------------------------------------
*
INTEGER NEL,NMIX,MAT(NEL),IQFR(6,NEL)
REAL QFR(6,NEL),SIGT(NMIX),FD(NMIX,2),A11(3*NEL,3*NEL)
*
A11(:3*NEL,:3*NEL)=0.0
NUM1=0
DO KEL=1,NEL
IBM=MAT(KEL)
SIGG=SIGT(IBM)
! WEIGHT RESIDUAL EQUATIONS:
A11(NUM1+1,NUM1+1)=SIGG
A11(NUM1+2,NUM1+2)=SIGG/12.0
A11(NUM1+3,NUM1+3)=SIGG/180.0
NUM1=NUM1+3
ENDDO
! continuity relations:
NUM1=0
DO KEL=1,NEL-1
IBM=MAT(KEL)
IBMP=MAT(KEL+1)
NUM2=NUM1+3
! flux continuity:
FDP=FD(IBM,2)
FDM=FD(IBMP,1)
A11(NUM1+2,NUM1+1)=-FDP
A11(NUM1+2,NUM1+2)=-FDP/2.0
A11(NUM1+2,NUM1+3)=-FDP/6.0
A11(NUM1+2,NUM2+1)=FDM
A11(NUM1+2,NUM2+2)=-FDM/2.0
A11(NUM1+2,NUM2+3)=FDM/6.0
NUM1=NUM1+3
ENDDO
! left boundary condition:
IF((IQFR(1,1) == -1).OR.(IQFR(1,1) > 0)) THEN
! VOID
AFACTOR=QFR(1,1)
A11(NUM1+2,1)=-AFACTOR
A11(NUM1+2,2)=AFACTOR/2.0
A11(NUM1+2,3)=-AFACTOR/6.0
ENDIF
! right boundary condition:
IF((IQFR(2,NEL) == -1).OR.(IQFR(2,NEL) > 0)) THEN
NUM2=3*(NEL-1)
! VOID
AFACTOR=QFR(2,NEL)
A11(NUM1+3,NUM2+1)=-AFACTOR
A11(NUM1+3,NUM2+2)=-AFACTOR/2.0
A11(NUM1+3,NUM2+3)=-AFACTOR/6.0
ENDIF
RETURN
END SUBROUTINE NSS5TR
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