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Diffstat (limited to 'Trivac/src/NSS2TR.f')
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diff --git a/Trivac/src/NSS2TR.f b/Trivac/src/NSS2TR.f new file mode 100755 index 0000000..76f664d --- /dev/null +++ b/Trivac/src/NSS2TR.f @@ -0,0 +1,125 @@ +*DECK NSS2TR + SUBROUTINE NSS2TR(ITRIAL,NEL,NMIX,MAT,XX,IQFR,QFR,DIFF,SIGR,SIGT, + 1 FD,A11) +* +*----------------------------------------------------------------------- +* +*Purpose: +* Assembly of non-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 section. +* SIGT macroscopic cross section. +* 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),SIGT(NMIX), + 1 FD(NMIX,2),A11(5*NEL,5*NEL) +* + A11(:5*NEL,:5*NEL)=0.0 + NUM1=0 + DO KEL=1,NEL + IBM=MAT(KEL) + SIGG=SIGT(IBM) + ETA=XX(KEL)*SQRT(SIGR(IBM)/DIFF(IBM)) + ! WEIGHT RESIDUAL EQUATIONS: + A11(NUM1+1,NUM1+1)=SIGG + A11(NUM1+2,NUM1+2)=SIGG/12.0 + A11(NUM1+3,NUM1+3)=SIGG/20.0 + IF(ITRIAL(IBM) == 1) THEN + A11(NUM1+2,NUM1+4)=-SIGG/120.0 + A11(NUM1+3,NUM1+5)=-SIGG/700.0 + ELSE + ALP1=ETA*COSH(ETA/2.0)-2.0*SINH(ETA/2.0) + ALP2=((12.0+ETA**2)*SINH(ETA/2.0)-6.0*ETA*COSH(ETA/2.0))/ETA + A11(NUM1+2,NUM1+4)=SIGG*ALP1/(ETA**2) + A11(NUM1+3,NUM1+5)=SIGG*ALP2/(ETA**2) + 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 + NUM1=NUM1+5 + ENDDO + ! left boundary condition: + IBM=MAT(1) + ETA=XX(1)*SQRT(SIGR(IBM)/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 + A11(NUM1+4,3)=-AFACTOR/2.0 + IF(ITRIAL(IBM) == 2) THEN + ALP1=ETA*COSH(ETA/2.0)-2.0*SINH(ETA/2.0) + A11(NUM1+4,4)=AFACTOR*SINH(ETA/2.0) + A11(NUM1+4,5)=-AFACTOR*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 + A11(NUM1+5,NUM2+3)=-AFACTOR/2.0 + IF(ITRIAL(IBM) == 2) THEN + ALP1=ETA*COSH(ETA/2.0)-2.0*SINH(ETA/2.0) + A11(NUM1+5,NUM2+4)=-AFACTOR*SINH(ETA/2.0) + A11(NUM1+5,NUM2+5)=-AFACTOR*ALP1/ETA + ENDIF + ENDIF + RETURN + END SUBROUTINE NSS2TR |