From 7dfcc480ba1e19bd3232349fc733caef94034292 Mon Sep 17 00:00:00 2001 From: stainer_t Date: Mon, 8 Sep 2025 13:48:49 +0200 Subject: Initial commit from Polytechnique Montreal --- Trivac/src/NSS1TR.f | 198 ++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 198 insertions(+) create mode 100755 Trivac/src/NSS1TR.f (limited to 'Trivac/src/NSS1TR.f') diff --git a/Trivac/src/NSS1TR.f b/Trivac/src/NSS1TR.f new file mode 100755 index 0000000..c44a752 --- /dev/null +++ b/Trivac/src/NSS1TR.f @@ -0,0 +1,198 @@ +*DECK NSS1TR + SUBROUTINE NSS1TR(ITRIAL,NEL,NMIX,MAT,XX,IQFR,QFR,DIFF,SIGR,FD, + 1 A11) +* +*----------------------------------------------------------------------- +* +*Purpose: +* Assembly of leakage system matrices for the nodal expansion 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 +* ITRIAL type of base (=1: polynomial; =2: hyperbolic). +* NEL number of nodes +* NMIX number of mixtures +* MAT node mixtures +* XX node widths +* IQFR boundary conditions +* QFR albedo functions +* DIFF diffusion coefficients +* SIGR macroscopic removal cross sections +* FD discontinuity factors +* +*Parameters: output +* A11 assembly matrix. +* +*----------------------------------------------------------------------- +* + INTEGER ITRIAL(NMIX),NEL,NMIX,MAT(NEL),IQFR(6,NEL) + REAL XX(NEL),QFR(6,NEL),DIFF(NMIX),SIGR(NMIX),FD(NMIX,2), + 1 A11(5*NEL,5*NEL) +* + A11(:5*NEL,:5*NEL)=0.0 + ! WEIGHT RESIDUAL EQUATIONS: + NUM1=0 + DO KEL=1,NEL + IBM=MAT(KEL) + DX2=XX(KEL)**2 + SIGG=SIGR(IBM) + DIDD=DIFF(IBM) + ETA=XX(KEL)*SQRT(SIGG/DIDD) + A11(NUM1+1,NUM1+1)=SIGG + A11(NUM1+1,NUM1+3)=-6.0*DIDD/DX2 + A11(NUM1+2,NUM1+2)=SIGG/12.0 + A11(NUM1+3,NUM1+3)=SIGG/20.0 + IF(ITRIAL(IBM) == 1) THEN + A11(NUM1+1,NUM1+5)=-2.0*DIDD/(5.0*DX2) + A11(NUM1+2,NUM1+4)=-SIGG/120.0-DIDD/(2.0*DX2) + A11(NUM1+3,NUM1+5)=-SIGG/700.0-DIDD/(5.0*DX2) + ELSE + ALP0=2.0*ETA*SINH(ETA/2.0) + A11(NUM1+1,NUM1+5)=-DIDD*ALP0/DX2 + ENDIF + NUM1=NUM1+5 + ENDDO + ! continuity relations: + NUM1=0 + DO KEL=1,NEL-1 + IBM=MAT(KEL) + IBMP=MAT(KEL+1) + DIDD=DIFF(IBM) + DIDDP=DIFF(IBMP) + ETA=XX(KEL)*SQRT(SIGR(IBM)/DIDD) + ETAP=XX(KEL+1)*SQRT(SIGR(IBMP)/DIDDP) + NUM2=NUM1+5 + ! flux continuity: + FDP=FD(IBM,2) + FDM=FD(IBMP,1) + A11(NUM1+4,NUM1+1)=FDP + A11(NUM1+4,NUM1+2)=FDP/2.0 + A11(NUM1+4,NUM1+3)=FDP/2.0 + A11(NUM1+4,NUM2+1)=-FDM + A11(NUM1+4,NUM2+2)=FDM/2.0 + A11(NUM1+4,NUM2+3)=-FDM/2.0 + IF(ITRIAL(IBM) == 2) THEN + ALP1=ETA*COSH(ETA/2.0)-2.0*SINH(ETA/2.0) + A11(NUM1+4,NUM1+4)=FDP*SINH(ETA/2.0) + A11(NUM1+4,NUM1+5)=FDP*ALP1/ETA + ENDIF + IF(ITRIAL(IBMP) == 2) THEN + ALP1P=ETAP*COSH(ETAP/2.0)-2.0*SINH(ETAP/2.0) + A11(NUM1+4,NUM2+4)=FDM*SINH(ETAP/2.0) + A11(NUM1+4,NUM2+5)=-FDM*ALP1P/ETAP + ENDIF + ! current contunuity: + A11(NUM1+5,NUM1+2)=DIDD/XX(KEL) + A11(NUM1+5,NUM1+3)=3.0*DIDD/XX(KEL) + A11(NUM1+5,NUM2+2)=-DIDDP/XX(KEL+1) + A11(NUM1+5,NUM2+3)=3.0*DIDDP/XX(KEL+1) + IF(ITRIAL(IBM) == 1) THEN + A11(NUM1+5,NUM1+4)=DIDD/(2.0*XX(KEL)) + A11(NUM1+5,NUM1+5)=DIDD/(5.0*XX(KEL)) + ELSE + A11(NUM1+5,NUM1+4)=(DIDD/XX(KEL))*ETA*COSH(ETA/2.0) + A11(NUM1+5,NUM1+5)=(DIDD/XX(KEL))*ETA*SINH(ETA/2.0) + ENDIF + IF(ITRIAL(IBMP) == 1) THEN + A11(NUM1+5,NUM2+4)=-DIDDP/(2.0*XX(KEL+1)) + A11(NUM1+5,NUM2+5)=DIDDP/(5.0*XX(KEL+1)) + ELSE + A11(NUM1+5,NUM2+4)=-(DIDDP/XX(KEL+1))*ETAP*COSH(ETAP/2.0) + A11(NUM1+5,NUM2+5)=(DIDDP/XX(KEL+1))*ETAP*SINH(ETAP/2.0) + ENDIF + NUM1=NUM1+5 + ENDDO + ! left boundary condition: + IBM=MAT(1) + ETA=XX(1)*SQRT(SIGR(MAT(1))/DIFF(IBM)) + IF((IQFR(1,1) == -1).OR.(IQFR(1,1) > 0)) THEN + ! VOID + AFACTOR=QFR(1,1) + A11(NUM1+4,1)=AFACTOR + A11(NUM1+4,2)=-(AFACTOR/2.0+DIFF(IBM)/XX(1)) + A11(NUM1+4,3)=(AFACTOR/2.0+3.0*DIFF(IBM)/XX(1)) + IF(ITRIAL(IBM) == 1) THEN + A11(NUM1+4,4)=-DIFF(IBM)/(2.0*XX(1)) + A11(NUM1+4,5)=DIFF(IBM)/(5.0*XX(1)) + ELSE + ALP1=ETA*COSH(ETA/2.0)-2.0*SINH(ETA/2.0) + A11(NUM1+4,4)=-(AFACTOR*SINH(ETA/2.0)+(DIFF(IBM)/XX(1))* + 1 ETA*COSH(ETA/2.0)) + A11(NUM1+4,5)=AFACTOR*ALP1/ETA+(DIFF(IBM)/XX(1))*ETA* + 1 SINH(ETA/2.0) + ENDIF + ELSE IF(IQFR(1,1) == -2) THEN + ! REFL + A11(NUM1+4,2)=1.0 + A11(NUM1+4,3)=-3.0 + IF(ITRIAL(IBM) == 1) THEN + A11(NUM1+4,4)=1.0/2.0 + A11(NUM1+4,5)=-1.0/5.0 + ELSE + A11(NUM1+4,4)=ETA*COSH(ETA/2.0) + A11(NUM1+4,5)=-ETA*SINH(ETA/2.0) + ENDIF + ELSE IF(IQFR(1,1) == -3) THEN + ! ZERO + A11(NUM1+4,1)=1.0 + A11(NUM1+4,2)=-1.0/2.0 + A11(NUM1+4,3)=1.0/2.0 + IF(ITRIAL(IBM) == 2) THEN + ALP1=ETA*COSH(ETA/2.0)-2.0*SINH(ETA/2.0) + A11(NUM1+4,4)=-SINH(ETA/2.0) + A11(NUM1+4,5)=ALP1/ETA + ENDIF + ENDIF + ! right boundary condition: + IBM=MAT(NEL) + ETA=XX(NEL)*SQRT(SIGR(IBM)/DIFF(IBM)) + IF((IQFR(2,NEL) == -1).OR.(IQFR(2,NEL) > 0)) THEN + NUM2=5*(NEL-1) + ! VOID + AFACTOR=QFR(2,NEL) + A11(NUM1+5,NUM2+1)=AFACTOR + A11(NUM1+5,NUM2+2)=(AFACTOR/2.0+DIFF(IBM)/XX(NEL)) + A11(NUM1+5,NUM2+3)=(AFACTOR/2.0+3.0*DIFF(IBM)/XX(NEL)) + IF(ITRIAL(IBM) == 1) THEN + A11(NUM1+5,NUM2+4)=DIFF(IBM)/(2.0*XX(NEL)) + A11(NUM1+5,NUM2+5)=DIFF(IBM)/(5.0*XX(NEL)) + ELSE + ALP1=ETA*COSH(ETA/2.0)-2.0*SINH(ETA/2.0) + A11(NUM1+5,NUM2+4)=AFACTOR*SINH(ETA/2.0)+(DIFF(IBM)/ + 1 XX(NEL))*ETA*COSH(ETA/2.0) + A11(NUM1+5,NUM2+5)=AFACTOR*ALP1/ETA+(DIFF(IBM)/ + 1 XX(NEL))*ETA*SINH(ETA/2.0) + ENDIF + ELSE IF(IQFR(2,NEL) == -2) THEN + NUM2=5*(NEL-1) + ! REFL + A11(NUM1+5,NUM2+2)=1.0 + A11(NUM1+5,NUM2+3)=3.0 + IF(ITRIAL(IBM) == 1) THEN + A11(NUM1+5,NUM2+4)=1.0/2.0 + A11(NUM1+5,NUM2+5)=1.0/5.0 + ELSE + A11(NUM1+5,NUM2+4)=ETA*COSH(ETA/2.0) + A11(NUM1+5,NUM2+5)=ETA*SINH(ETA/2.0) + ENDIF + ELSE IF(IQFR(2,NEL) == -3) THEN + NUM2=5*(NEL-1) + ! ZERO + A11(NUM1+5,NUM2+1)=1.0 + A11(NUM1+5,NUM2+2)=1.0/2.0 + A11(NUM1+5,NUM2+3)=1.0/2.0 + IF(ITRIAL(IBM) == 2) THEN + ALP1=ETA*COSH(ETA/2.0)-2.0*SINH(ETA/2.0) + A11(NUM1+5,NUM2+4)=SINH(ETA/2.0) + A11(NUM1+5,NUM2+5)=ALP1/ETA + ENDIF + ENDIF + END SUBROUTINE NSS1TR -- cgit v1.2.3