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*DECK SYB004
SUBROUTINE SYB004 (NGEN,NPIJ,NPIS,NRAYRE,SIGT2,SIGW2,IMPX,NCOUR,
1 IQUAD,XX,YY,LSECT,NMC,NMCR,RAYRE,MAIL,IZMAIL,RZMAIL,PIJW,PISW,
2 PSJW,PSSW)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Compute the cellwise scattering-reduced collision, escape and
* transmission probabilities in a 2-D Cartesian or hexagonal assembly
* with DP-0 approximation.
*
*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
* NGEN total number of generating cells.
* NPIJ length of cellwise scattering-reduced collision probability
* matrices.
* NPIS length of cellwise scattering-reduced escape probability
* matrices (NPIS=NMC(NGEN+1)).
* NRAYRE size of array RAYRE (NRAYRE=NMCR(NGEN+1)).
* SIGT2 total macroscopic cross sections.
* SIGW2 P0 within-group scattering macroscopic cross sections.
* IMPX print flag (equal to 0 for no print).
* NCOUR number of currents surrounding the cells (=4 Cartesian
* lattice; =6 hexagonal lattice).
* IQUAD quadrature parameters.
* XX X-thickness of the generating cells.
* YY Y-thickness of the generating cells.
* LSECT type of sectorization.
* NMC offset of the first volume in each generating cell.
* NMCR offset of the first radius in each generating cell.
* RAYRE radius of the tubes in each generating cell.
* MAIL offset of the first tracking information in each generating
* cell.
* IZMAIL integer tracking information.
* RZMAIL real tracking information.
*
*Parameters: output
* PIJW cellwise scattering-reduced collision probability matrices.
* PISW cellwise scattering-reduced escape probability matrices.
* PSJW cellwise scattering-reduced collision probability matrices
* for incoming neutrons.
* PSSW cellwise scattering-reduced transmission probability
* matrices.
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER NGEN,NPIJ,NPIS,NRAYRE,IMPX,NCOUR,IQUAD(4),LSECT(NGEN),
1 NMC(NGEN+1),NMCR(NGEN+1),MAIL(2,NGEN),IZMAIL(*)
REAL SIGT2(NPIS),SIGW2(NPIS),XX(NGEN),YY(NGEN),RAYRE(NRAYRE),
1 RZMAIL(*),PIJW(NPIJ),PISW(NCOUR*NPIS),PSJW(NCOUR*NPIS),
2 PSSW(NGEN*NCOUR*NCOUR)
*----
* LOCAL VARIABLES
*----
PARAMETER (PI=3.141592654,SMALL=5.0E-3,SQRT3=1.732050807568877)
LOGICAL LSKIP
REAL PSS(36),SURFA(6),ALPA(64),PWA(64)
REAL, ALLOCATABLE, DIMENSION(:) :: VOL,WORK
REAL, ALLOCATABLE, DIMENSION(:,:) :: PIS,PSJ,PP
*
IPIJ=0
IPIS=0
IPSS=0
DO 220 JKG=1,NGEN
J1=NMC(JKG)
J2=NMC(JKG+1)-J1
J1R=NMCR(JKG)
J2R=NMCR(JKG+1)-J1R
ALLOCATE(PIS(J2,NCOUR),PSJ(NCOUR,J2),PP(J2,J2),VOL(J2))
*----
* COMPUTE THE REDUCED COLLISION PROBABILITY MATRIX
*----
A=XX(JKG)
B=YY(JKG)
IF((NCOUR.EQ.4).AND.(LSECT(JKG).NE.0)) THEN
* SECTORIZED CARTESIAN CELL.
IB1=MAIL(1,JKG)
IB2=MAIL(2,JKG)
IF(LSECT(JKG).EQ.-999) THEN
NSECT=4
ELSE IF((LSECT(JKG).EQ.-1).OR.(LSECT(JKG).EQ.-101)) THEN
NSECT=8
ELSE
NSECT=4*MOD(ABS(LSECT(JKG)),100)
ENDIF
MNA4=4*IQUAD(1)
CALL SYB4QG(IMPX,1,MNA4,J2R,NSECT,LSECT(JKG),J2,RZMAIL(IB2),
1 IZMAIL(IB1),A,B,RAYRE(J1R+2),SIGT2(J1+1),SMALL,VOL,PP,PIS,PSS)
ELSE IF(LSECT(JKG).NE.0) THEN
* SECTORIZED HEXAGONAL CELL.
IB1=MAIL(1,JKG)
IB2=MAIL(2,JKG)
NSECT=6
MNA4=12*IQUAD(1)
CALL SYB7QG(IMPX,1,MNA4,J2R,NSECT,LSECT(JKG),J2,RZMAIL(IB2),
1 IZMAIL(IB1),A,RAYRE(J1R+2),SIGT2(J1+1),SMALL,VOL,PP,PIS,PSS)
ELSE IF((NCOUR.EQ.4).AND.(J2.EQ.1)) THEN
CALL ALGPT(IQUAD(3),-1.0,1.0,ALPA,PWA)
CALL RECT1(IQUAD(3),A,B,SIGT2(J1+1),SMALL,PP,PIS,PSS,ALPA,PWA)
VOL(1)=A*B
ELSE IF(J2.EQ.1) THEN
CALL ALGPT(IQUAD(3),-1.0,1.0,ALPA,PWA)
CALL XHX2D0(IQUAD(3),ALPA,PWA,A,SIGT2(J1+1),SMALL,PP,PIS,PSS)
VOL(1)=1.5*SQRT3*A*A
ELSE
* NON-SECTORIZED CARTESIAN OR HEXAGONAL CELL.
IB1=MAIL(1,JKG)
IB2=MAIL(2,JKG)
CALL SYBUP0(RZMAIL(IB2),IZMAIL(IB1),NCOUR,J2,SIGT2(J1+1),SMALL,
1 A,B,IMPX,VOL,PP,PIS,PSS)
ENDIF
*----
* COMPUTE THE REDUCED COLLISION PROBABILITY MATRIX FOR INCOMING
* NEUTRONS
*----
DO 65 I=1,J2
IF(NCOUR.EQ.4) THEN
SURFA(1)=0.25*B
SURFA(2)=0.25*B
SURFA(3)=0.25*A
SURFA(4)=0.25*A
ELSE
DO 50 JC=1,6
SURFA(JC)=0.25*A
50 CONTINUE
ENDIF
DO 60 JC=1,NCOUR
PSJ(JC,I)=PIS(I,JC)*VOL(I)/SURFA(JC)
60 CONTINUE
65 CONTINUE
DEALLOCATE(VOL)
IF(IMPX.GE.8) THEN
CALL SYBPRX(1,NCOUR,J2,JKG,SIGT2(J1+1),SIGW2(J1+1),PP(1,1),
1 PIS(1,1),PSJ(1,1),PSS(1))
ENDIF
*----
* CHECK IF SCATTERING REDUCTION IS REQUIRED
*----
LSKIP=.TRUE.
DO 70 I=1,J2
LSKIP=LSKIP.AND.(SIGW2(J1+I).EQ.0.0)
70 CONTINUE
*----
* SCATTERING REDUCTION IF LSKIP=.FALSE.
*----
IF(LSKIP) THEN
* DO NOT PERFORM SCATTERING REDUCTION.
DO 85 I=1,J2
DO 80 J=1,J2
PIJW(IPIJ+(J-1)*J2+I)=PP(I,J)
80 CONTINUE
85 CONTINUE
DO 95 I=1,J2
DO 90 JC=1,NCOUR
PISW(IPIS+(JC-1)*J2+I)=PIS(I,JC)
PSJW(IPIS+(I-1)*NCOUR+JC)=PSJ(JC,I)
90 CONTINUE
95 CONTINUE
DO 105 IC=1,NCOUR
DO 100 JC=1,NCOUR
PSSW(IPSS+(JC-1)*NCOUR+IC)=PSS((JC-1)*NCOUR+IC)
100 CONTINUE
105 CONTINUE
ELSE
* COMPUTE THE SCATTERING-REDUCED COLLISION AND ESCAPE MATRICES.
DO 120 I=1,J2
DO 110 J=1,J2
PIJW(IPIJ+(J-1)*J2+I)=-PP(I,J)*SIGW2(J1+J)
110 CONTINUE
PIJW(IPIJ+(I-1)*J2+I)=1.0+PIJW(IPIJ+(I-1)*J2+I)
120 CONTINUE
CALL ALINV(J2,PIJW(IPIJ+1),J2,IER)
IF(IER.NE.0) CALL XABORT('SYB004: SINGULAR MATRIX.')
ALLOCATE(WORK(J2))
DO 175 I=1,J2
DO 130 K=1,J2
WORK(K)=PIJW(IPIJ+(K-1)*J2+I)
130 CONTINUE
DO 150 J=1,J2
WGAR=0.0
DO 140 K=1,J2
WGAR=WGAR+WORK(K)*PP(K,J)
140 CONTINUE
PIJW(IPIJ+(J-1)*J2+I)=WGAR
150 CONTINUE
DO 170 JC=1,NCOUR
WGAR=0.0
DO 160 K=1,J2
WGAR=WGAR+WORK(K)*PIS(K,JC)
160 CONTINUE
PISW(IPIS+(JC-1)*J2+I)=WGAR
170 CONTINUE
175 CONTINUE
DEALLOCATE(WORK)
*
* COMPUTE THE SCATTERING-REDUCED COLLISION PROBABILITY MATRIX
* FOR INCOMING NEUTRONS.
DO 195 IC=1,NCOUR
DO 190 J=1,J2
WGAR=PSJ(IC,J)
DO 180 K=1,J2
WGAR=WGAR+PSJ(IC,K)*SIGW2(J1+K)*PIJW(IPIJ+(J-1)*J2+K)
180 CONTINUE
PSJW(IPIS+(J-1)*NCOUR+IC)=WGAR
190 CONTINUE
195 CONTINUE
*
* COMPUTE THE SCATTERING-REDUCED TRANSMISSION PROBABILITY MATRIX.
DO 215 IC=1,NCOUR
DO 210 JC=1,NCOUR
WGAR=PSS((JC-1)*NCOUR+IC)
DO 200 K=1,J2
WGAR=WGAR+PSJ(IC,K)*SIGW2(J1+K)*PISW(IPIS+(JC-1)*J2+K)
200 CONTINUE
PSSW(IPSS+(JC-1)*NCOUR+IC)=WGAR
210 CONTINUE
215 CONTINUE
ENDIF
DEALLOCATE(PP,PSJ,PIS)
IF(IMPX.GE.10) THEN
CALL SYBPRX(2,NCOUR,J2,JKG,SIGT2(J1+1),SIGW2(J1+1),PIJW(IPIJ+1),
1 PISW(IPIS+1),PSJW(IPIS+1),PSSW(IPSS+1))
ENDIF
IPIJ=IPIJ+J2*J2
IPIS=IPIS+J2*NCOUR
IPSS=IPSS+NCOUR*NCOUR
220 CONTINUE
RETURN
END
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