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*DECK SYB002
SUBROUTINE SYB002 (NGEN,NPIJ,NPIS,SIGT2,SIGW2,IMPX,NCOUR,IWIGN,
1 IQUAD,XX,YY,NMC,RAYRE,MAIL,RZMAIL,PIJW,PISW,PSJW,PSSW)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Compute the cellwise scattering-reduced collision, escape and
* transmission probabilities in a 2-D Cartesian or hexagonal assembly
* with Roth 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)).
* 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).
* IWIGN type of cylinderization.
* IQUAD quadrature parameters.
* XX X-thickness of the generating cells.
* YY Y-thickness of the generating cells.
* NMC offset of the first volume in each generating cell.
* RAYRE radius of the tubes in each generating cell.
* MAIL offset of the first tracking information in each generating
* cell.
* 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,IMPX,NCOUR,IWIGN,IQUAD(4),NMC(NGEN+1),
1 MAIL(2,NGEN)
REAL SIGT2(NPIS),SIGW2(NPIS),XX(NGEN),YY(NGEN),RAYRE(NPIS),
1 RZMAIL(*),PIJW(NPIJ),PISW(NPIS),PSJW(NPIS),PSSW(NGEN)
*----
* LOCAL VARIABLES
*----
PARAMETER (PI=3.141592654)
LOGICAL LSKIP
REAL, ALLOCATABLE, DIMENSION(:) :: PIS,PSJ,RAYR2,WORK
REAL, ALLOCATABLE, DIMENSION(:,:) :: PP
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(PIS(NPIS),PSJ(NPIS))
*
MR=IQUAD(4)
IPIJ=0
DO 220 JKG=1,NGEN
J1=NMC(JKG)
J2=NMC(JKG+1)-J1
*----
* CYLINDERIZATION OPTIONS
*----
A=XX(JKG)
B=YY(JKG)
IB=MAIL(2,JKG)
RJ1=RAYRE(NMC(JKG+1))
SCALE1=1.0
SCALE2=1.0
ROUT=0.0
IF((NCOUR.EQ.4).AND.(IWIGN.EQ.1)) THEN
* ASKEW CYLINDERIZATION CARTESIAN.
RJ2=(A+B)/PI
SCALE1=(A*B-PI*RJ1**2)/(PI*RJ2**2-PI*RJ1**2)
ROUT=RJ2
ELSE IF((NCOUR.EQ.4).AND.(IWIGN.EQ.2)) THEN
* WIGNER CYLINDERIZATION CARTESIAN.
ROUT=SQRT(A*B/PI)
ELSE IF((NCOUR.EQ.4).AND.(IWIGN.EQ.3)) THEN
* SANCHEZ CYLINDERIZATION CARTESIAN.
SCALE2=SQRT(PI*A*B)/(A+B)
ROUT=SQRT(A*B/PI)
ELSE IF(IWIGN.EQ.1) THEN
* ASKEW CYLINDERIZATION HEXAGONAL.
RJ2=3.0*A/PI
SCALE1=(1.5*SQRT(3.0)*A*A-PI*RJ1**2)/(PI*RJ2**2-PI*RJ1**2)
ROUT=RJ2
ELSE IF(IWIGN.EQ.2) THEN
* WIGNER CYLINDERIZATION HEXAGONAL.
ROUT=SQRT(1.5*SQRT(3.0)/PI)*A
ELSE IF(IWIGN.EQ.3) THEN
* SANCHEZ CYLINDERIZATION HEXAGONAL.
SCALE2=SQRT(PI*SQRT(3.0)/6.0)
ROUT=SQRT(1.5*SQRT(3.0)/PI)*A
ENDIF
IF(ROUT.LE.RJ1) CALL XABORT('SYB002: CYLINDERIZATION ERROR.')
*----
* COMPUTE THE REDUCED COLLISION PROBABILITY MATRIX
*----
SURFA=0.5*PI*ROUT
ALLOCATE(PP(J2,J2),RAYR2(J2+1))
DO 10 I=1,J2
RAYR2(I)=RAYRE(J1+I)
10 CONTINUE
RAYR2(J2+1)=ROUT
SIGT2(J1+J2)=SIGT2(J1+J2)*SCALE1
CALL SYBALC(J2,J2,RAYR2,SIGT2(J1+1),MR,0.0,RZMAIL(IB),PP)
PSS=0.0
RJ1=0.0
DO 30 I=1,J2
PIS(I)=1.0
RJ2=RAYR2(I+1)**2
VV=PI*(RJ2-RJ1)
DO 20 J=1,J2
PIS(I)=PIS(I)-PP(I,J)*SIGT2(J1+J)
20 CONTINUE
PSS=PSS+PIS(I)*SIGT2(J1+I)*VV/SURFA
RJ1=RJ2
30 CONTINUE
DEALLOCATE(RAYR2)
PSS=1.0-SCALE2*PSS
*----
* COMPUTE THE REDUCED COLLISION PROBABILITY MATRIX FOR INCOMING
* NEUTRONS
*----
SURFA=(0.5*PI*ROUT)/SCALE2
RJ1=0.0
DO 40 I=1,J2-1
RJ2=PI*RAYRE(J1+I+1)**2
PSJ(I)=PIS(I)*(RJ2-RJ1)/SURFA
RJ1=RJ2
40 CONTINUE
RJ2=PI*ROUT**2
PSJ(J2)=PIS(J2)*(RJ2-RJ1)*SCALE1/SURFA
SIGT2(J1+J2)=SIGT2(J1+J2)/SCALE1
IF(IMPX.GE.8) THEN
CALL SYBPRX(1,1,J2,JKG,SIGT2(J1+1),SIGW2(J1+1),PP(1,1),PIS(1),
1 PSJ(1),PSS)
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 90 I=1,J2
DO 80 J=1,J2-1
PIJW(IPIJ+(J-1)*J2+I)=PP(I,J)
80 CONTINUE
PIJW(IPIJ+(J2-1)*J2+I)=PP(I,J2)*SCALE1
90 CONTINUE
DO 100 I=1,J2
PISW(J1+I)=PIS(I)
PSJW(J1+I)=PSJ(I)
100 CONTINUE
PSSW(JKG)=PSS
ELSE
* COMPUTE THE SCATTERING-REDUCED COLLISION AND ESCAPE MATRICES.
DO 120 I=1,J2
DO 110 J=1,J2-1
PIJW(IPIJ+(J-1)*J2+I)=-PP(I,J)*SIGW2(J1+J)
110 CONTINUE
PIJW(IPIJ+(J2-1)*J2+I)=-PP(I,J2)*SIGW2(J1+J2)*SCALE1
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('SYB002: SINGULAR MATRIX.')
ALLOCATE(WORK(J2))
DO 170 I=1,J2
DO 130 K=1,J2
WORK(K)=PIJW(IPIJ+(K-1)*J2+I)
130 CONTINUE
DO 150 J=1,J2-1
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
WGAR=0.0
DO 155 K=1,J2
WGAR=WGAR+WORK(K)*PP(K,J2)
155 CONTINUE
PIJW(IPIJ+(J2-1)*J2+I)=WGAR*SCALE1
WGAR=0.0
DO 160 K=1,J2
WGAR=WGAR+WORK(K)*PIS(K)
160 CONTINUE
PISW(J1+I)=WGAR
170 CONTINUE
DEALLOCATE(WORK)
*
* COMPUTE THE SCATTERING-REDUCED COLLISION PROBABILITY MATRIX
* FOR INCOMING NEUTRONS.
DO 190 J=1,J2
WGAR=PSJ(J)
DO 180 K=1,J2
WGAR=WGAR+PSJ(K)*SIGW2(J1+K)*PIJW(IPIJ+(J-1)*J2+K)
180 CONTINUE
PSJW(J1+J)=WGAR
190 CONTINUE
*
* COMPUTE THE SCATTERING-REDUCED TRANSMISSION PROBABILITY MATRIX.
WGAR=PSS
DO 200 K=1,J2
WGAR=WGAR+PSJ(K)*SIGW2(J1+K)*PISW(J1+K)
200 CONTINUE
PSSW(JKG)=WGAR
ENDIF
DEALLOCATE(PP)
IF(IMPX.GE.10) THEN
CALL SYBPRX(2,1,J2,JKG,SIGT2(J1+1),SIGW2(J1+1),PIJW(IPIJ+1),
1 PISW(J1+1),PSJW(J1+1),PSSW(JKG))
ENDIF
IPIJ=IPIJ+J2*J2
220 CONTINUE
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(PSJ,PIS)
RETURN
END
|
