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*DECK BREKOE
SUBROUTINE BREKOE(IPMAC1,NC,NG,NL,NMIX1,ISPH,B2,ENER,DC1,TOT1,
1 SCAT1,JXM,FHETXM,IPRINT)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Implement the 1D Koebke reflector model.
*
*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 and V. Salino
*
*Parameters: input
* IPMAC1 nodal macrolib.
* NC number of sn macrolibs (=2: Koebke method).
* NG number of energy groups.
* NL Legendre order of TOT1 and SCAT1 arrays (=1 for isotropic
* scattering in LAB).
* NMIX1 number of mixtures in the nodal calculation.
* ISPH SPH flag (=0: use discontinuity factors; =1: use SPH factors).
* B2 buckling.
* ENER energy limits.
* TOT1 total cross sections.
* SCAT1 scattering P0 cross sections.
* JXM left boundary currents.
* FHETXM left boundary fluxes.
* IPRINT edition flag.
*
*-----------------------------------------------------------------------
*
USE GANLIB
*----
* SUBROUTINE ARGUMENTS
*----
TYPE(C_PTR) IPMAC1
INTEGER NC,NG,NL,NMIX1,ISPH,IPRINT
REAL B2(NC),ENER(NG+1),DC1(NMIX1,NG,NC),TOT1(NMIX1,NG,NL,NC),
1 SCAT1(NMIX1,NG,NG,NL,NC),JXM(NMIX1,NG,NC),FHETXM(NMIX1,NG,NL,NC)
*----
* LOCAL VARIABLES
*----
PARAMETER (NSTATE=40)
INTEGER ISTATE(NSTATE)
CHARACTER HADF*8
DOUBLE PRECISION R11,R21,R22,SIGR1,SIGR2,SIG21,D1,D2,A,B,C,F2
TYPE(C_PTR) JPMAC1,KPMAC1
*----
* ALLOCATABLE ARRAYS
*----
INTEGER, ALLOCATABLE, DIMENSION(:) :: IJJ,NJJ,IPOS
REAL, ALLOCATABLE, DIMENSION(:) :: WORK,FDX,DIF
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(IJJ(NMIX1),NJJ(NMIX1),IPOS(NMIX1),WORK(NG*NMIX1))
*----
* RECOVER FLUX, MACROSCOPIC CROSS SECTIONS AND DIFFUSION COEFFICIENTS
*----
IF(NC.NE.2) CALL XABORT('BREKOE: NC=2 EXPECTED.')
IF(NG.NE.2) CALL XABORT('BREKOE: NG=2 EXPECTED.')
IF(NMIX1.NE.1) CALL XABORT('BREKOE: NMIX1=1 EXPECTED.')
*----
* COMPUTE EQUIVALENT REFLECTOR
*----
ALLOCATE(FDX(NG),DIF(NG))
IBM=1
R11=.5*(FHETXM(IBM,1,1,1)/JXM(IBM,1,1)+FHETXM(IBM,1,1,2)/
1 JXM(IBM,1,2))
R21=(FHETXM(IBM,2,1,1)*JXM(IBM,2,2)-FHETXM(IBM,2,1,2)*
1 JXM(IBM,2,1))/(JXM(IBM,1,1)*JXM(IBM,2,2)-JXM(IBM,1,2)*J
2 XM(IBM,2,1))
R22=(FHETXM(IBM,2,1,2)*JXM(IBM,1,1)-FHETXM(IBM,2,1,1)*
1 JXM(IBM,1,2))/(JXM(IBM,1,1)*JXM(IBM,2,2)-JXM(IBM,1,2)*
2 JXM(IBM,2,1))
IF(IPRINT.GT.0) WRITE(6,10) R11,R21,R22
SIGR1=.5*(TOT1(IBM,1,1,1)+TOT1(IBM,1,1,2)-SCAT1(IBM,1,1,1,1)-
1 SCAT1(IBM,1,1,1,2)+B2(1)*DC1(IBM,1,1)+B2(2)*DC1(IBM,1,2))
SIGR2=.5*(TOT1(IBM,2,1,1)+TOT1(IBM,2,1,2)-SCAT1(IBM,2,2,1,1)-
1 SCAT1(IBM,2,2,1,2)+B2(1)*DC1(IBM,2,1)+B2(2)*DC1(IBM,2,2))
SIG21=.5*(SCAT1(IBM,2,1,1,1)+SCAT1(IBM,2,1,1,2))
IF(IPRINT.GT.0) WRITE(6,20) SIGR1,SIGR2,SIG21
D1=1.0/(R11*R11*SIGR1)
A=(R21*SIGR1-R22*SIG21)*SQRT(SIGR1/SIGR2)/(R22*R22)
B=SIG21*SQRT(D1*SIGR2)
C=-R21*D1*SIGR2*SQRT(SIGR1*SIGR2)
F2=(-B+SQRT(B*B-4.0*A*C))/(2.0*A)
D2=F2*F2/(R22*R22*SIGR2)
IF(IPRINT.GT.0) WRITE(6,30) D1,D2,F2
FDX(1)=1.0
FDX(2)=REAL(F2)
DIF(1)=REAL(D1)
DIF(2)=REAL(D2)
IF(IPRINT.GT.0) THEN
WRITE(6,'(/37H BREKOE: KOEBKE DISCONTINUITY FACTORS)')
WRITE(6,'(/12H MIXTURE= 1)')
WRITE(6,'(6H FDX=,1P,10E13.5,/(6X,10E13.5))') FDX(:NG)
ENDIF
*----
* APPLY SPH FACTORS
*----
IF(ISPH.EQ.1) THEN
DO IGR=1,NG
TOT1(IBM,IGR,1,:2)=TOT1(IBM,IGR,1,:2)/FDX(IGR)
DIF(IGR)=DIF(IGR)/FDX(IGR)
DO JGR=1,NG
SCAT1(IBM,IGR,JGR,1,:2)=SCAT1(IBM,IGR,JGR,1,:2)/FDX(JGR)
ENDDO
ENDDO
ENDIF
IF(IPRINT.GT.0) THEN
WRITE(6,'(/38H BREKOE: KOEBKE DIFFUSION COEFFICIENTS)')
WRITE(6,'(/12H MIXTURE= 1)')
WRITE(6,'(6H DIFF=,1P,10E13.5,/(6X,10E13.5))') DIF(:NG)
ENDIF
*----
* SAVE THE OUTPUT NODAL MACROLIB
*----
IBM=1
ISTATE(:)=0
ISTATE(1)=NG
ISTATE(2)=NMIX1
ISTATE(3)=1
ISTATE(9)=1 ! diffusion coefficient information
IF(ISPH.EQ.0) ISTATE(12)=3 ! discontinuity factor information
IF(ISPH.EQ.1) ISTATE(14)=1 ! SPH factor information
CALL LCMPUT(IPMAC1,'STATE-VECTOR',NSTATE,1,ISTATE)
CALL LCMPUT(IPMAC1,'ENERGY',NG+1,2,ENER)
WORK(1)=1.0
CALL LCMPUT(IPMAC1,'VOLUME',NMIX1,2,WORK)
CALL LCMPUT(IPMAC1,'B2 B1HOM',1,2,B2)
IF(ISPH.EQ.0) THEN
CALL LCMSIX(IPMAC1,'ADF',1)
NTYPE=1
HADF='FD_B'
CALL LCMPUT(IPMAC1,'NTYPE',1,1,NTYPE)
CALL LCMPTC(IPMAC1,'HADF',8,HADF)
CALL LCMPUT(IPMAC1,HADF,NG,2,FDX)
CALL LCMSIX(IPMAC1,' ',2)
ELSE IF(ISPH.EQ.1) THEN
CALL LCMSIX(IPMAC1,'SPH',1)
ISTATE(:)=0
ISTATE(1)=4
ISTATE(2)=1
ISTATE(6)=1
ISTATE(7)=1
ISTATE(8)=NG
CALL LCMPUT(IPMAC1,'STATE-VECTOR',NSTATE,1,ISTATE)
CALL LCMSIX(IPMAC1,' ',2)
ENDIF
JPMAC1=LCMLID(IPMAC1,'GROUP',NG)
DO IGR=1,NG
KPMAC1=LCMDIL(JPMAC1,IGR)
WORK(1)=1.0
CALL LCMPUT(KPMAC1,'FLUX-INTG',NMIX1,2,WORK)
WORK(1)=0.5*(TOT1(IBM,IGR,1,1)+TOT1(IBM,IGR,1,2))
CALL LCMPUT(KPMAC1,'NTOT0',NMIX1,2,WORK)
WORK(1)=0.0
CALL LCMPUT(KPMAC1,'SIGW00',NMIX1,2,WORK)
CALL LCMPUT(KPMAC1,'DIFF',NMIX1,2,DIF(IGR))
IF(ISPH.EQ.1) THEN
WORK(1)=1.0/FDX(IGR)
CALL LCMPUT(KPMAC1,'NSPH',NMIX1,2,WORK)
ENDIF
IPOSDE=0
DO J=1,NMIX1
IBM=1
J2=IGR
J1=IGR
DO JGR=1,NG
IF(SCAT1(IBM,IGR,JGR,1,1)+SCAT1(IBM,IGR,JGR,1,2).NE.0.0) THEN
J2=MAX(J2,JGR)
J1=MIN(J1,JGR)
ENDIF
ENDDO
NJJ(J)=J2-J1+1
IJJ(J)=J2
IPOS(J)=IPOSDE+1
DO JGR=J2,J1,-1
IPOSDE=IPOSDE+1
IF(IPOSDE.GT.NG*NMIX1) CALL XABORT('BREKOE: SCAT OVERFLOW.')
WORK(IPOSDE)=0.5*(SCAT1(IBM,IGR,JGR,1,1)+
1 SCAT1(IBM,IGR,JGR,1,2))
ENDDO
ENDDO
CALL LCMPUT(KPMAC1,'SCAT00',IPOSDE,2,WORK)
CALL LCMPUT(KPMAC1,'NJJS00',NMIX1,1,NJJ)
CALL LCMPUT(KPMAC1,'IJJS00',NMIX1,1,IJJ)
CALL LCMPUT(KPMAC1,'IPOS00',NMIX1,1,IPOS)
ENDDO
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(DIF,FDX,WORK,IPOS,NJJ,IJJ)
RETURN
*
10 FORMAT(13H BREKOE: R11=,1P,E12.4,5H R21=,E12.4,5H R22=,E12.4)
20 FORMAT(15H BREKOE: SIGR1=,1P,E12.4,7H SIGR2=,E12.4,7H SIG21=,
1 E12.4)
30 FORMAT(12H BREKOE: D1=,1P,E12.4,4H D2=,E12.4,4H F2=,E12.4)
END
|
