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*DECK SYBRXE
SUBROUTINE SYBRXE(IPAS,NPIJ,NSUPCE,RAYRE,SIGT,SIGW,P,IQUAD,ISTAT,
1 NMC,PROCEL,IMPX)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Calculation of the reduced collision probabilities for the
* 'do-it-yourself' approach.
*
*Copyright:
* Copyright (C) 2002 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
* IPAS number of volumes.
* NPIJ length of cellwise scattering-reduced collision probability
* matrices.
* NSUPCE number of cells.
* RAYRE radius of the tubes in each cell.
* SIGT total macroscopic cross sections.
* SIGW P0 within-group scattering macroscopic cross sections.
* IQUAD quadrature parameter.
* ISTAT istat=1 for the statistical approximation.
* NMC offset of the first volume in each cell.
* PROCEL user supplied geometrical matrix.
* IMPX print flag (equal to 0 for no print).
*
*Parameters: output
* P reduced collision probabilities.
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER IPAS,NPIJ,NSUPCE,IQUAD,ISTAT,NMC(NSUPCE+1),IMPX
REAL RAYRE(NSUPCE+IPAS),SIGT(IPAS),SIGW(IPAS),P(IPAS,IPAS),
1 PROCEL(NSUPCE,NSUPCE)
*----
* LOCAL VARIABLES
*----
PARAMETER (PI=3.141592654)
INTEGER, ALLOCATABLE, DIMENSION(:) :: IAPPAR
REAL, ALLOCATABLE, DIMENSION(:) :: PIJW,PISW,PSJW,PSSW
REAL, ALLOCATABLE, DIMENSION(:,:) :: PSSB
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(IAPPAR(IPAS))
ALLOCATE(PIJW(NPIJ),PISW(IPAS),PSJW(IPAS),PSSB(NSUPCE,2*NSUPCE),
1 PSSW(NSUPCE))
*
CALL SYB001 (NMC(NSUPCE+1),NSUPCE,NPIJ,SIGT,SIGW,IMPX,IQUAD,NMC,
1 RAYRE,PIJW,PISW,PSJW,PSSW)
*
IPIJ=0
DO 30 IKK=1,NSUPCE
J1=NMC(IKK)
J2=NMC(IKK+1)-J1
DO 20 I=1,J2
IAPPAR(I+J1)=IKK
DO 10 J=1,J2
P(J1+I,J1+J)=PIJW(IPIJ+(J-1)*J2+I)
10 CONTINUE
20 CONTINUE
IPIJ=IPIJ+J2*J2
30 CONTINUE
*----
* COMPUTATION OF QIJ MATRIX
*----
IF(ISTAT.EQ.0) THEN
DO 50 I=1,NSUPCE
DO 40 J=1,NSUPCE
PSSB(I,J)=-PROCEL(I,J)*PSSW(J)
PSSB(I,NSUPCE+J)=PROCEL(I,J)
40 CONTINUE
PSSB(I,I)=1.0+PSSB(I,I)
50 CONTINUE
CALL ALSB(NSUPCE,NSUPCE,PSSB,IER,NSUPCE)
IF(IER.NE.0) CALL XABORT('SYBRXE: SINGULAR MATRIX.')
* COMPUTATION OF PIJ MATRIX.
DO 70 I=1,IPAS
K=IAPPAR(I)
DO 60 J=1,IPAS
L=IAPPAR(J)
XX=PISW(I)*PSSB(K,NSUPCE+L)*PSJW(J)
IF(L.EQ.K) THEN
P(I,J)=P(I,J)+XX
ELSE
P(I,J)=XX
ENDIF
60 CONTINUE
70 CONTINUE
ELSE
X1=0.0
DO 80 I=1,NSUPCE
X1=X1+PSSW(I)*PROCEL(1,I)
80 CONTINUE
X1=1.0/(1.0-X1)
DO 100 J=1,IPAS
L=IAPPAR(J)
ZZZ=PROCEL(1,L)*X1*PSJW(J)
DO 90 I=1,IPAS
K=IAPPAR(I)
XX=PISW(I)*ZZZ
IF(L.EQ.K) THEN
P(I,J)=P(I,J)+XX
ELSE
P(I,J)=XX
ENDIF
90 CONTINUE
100 CONTINUE
ENDIF
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(PSSW,PSSB,PSJW,PISW,PIJW)
DEALLOCATE(IAPPAR)
RETURN
END
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