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*DECK SYB003
SUBROUTINE SYB003 (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 x 4 or Roth x 6 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(NCOUR*NPIS),PSJW(NCOUR*NPIS),
2 PSSW(NGEN*NCOUR*NCOUR)
*----
* LOCAL VARIABLES
*----
PARAMETER (PI=3.141592654)
LOGICAL LSKIP
INTEGER ISLR(4,4),ISLH(6,6)
REAL PBB(6),PSS(36)
REAL, ALLOCATABLE, DIMENSION(:) :: RAYR2,WORK
REAL, ALLOCATABLE, DIMENSION(:,:) :: PIS,PSJ,PP
*----
* DATA STATEMENTS
*----
SAVE ISLR,ISLH
DATA ISLR/0,4,1,1,4,0,1,1,3,3,0,2,3,3,2,0/
DATA ISLH/0,1,2,3,2,1,1,0,1,2,3,2,2,1,0,1,2,3,
1 3,2,1,0,1,2,2,3,2,1,0,1,1,2,3,2,1,0/
*
MR=IQUAD(4)
IPIJ=0
IPIS=0
IPSS=0
DO 240 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('SYB003: CYLINDERIZATION ERROR.')
*----
* COMPUTE THE REDUCED COLLISION PROBABILITY MATRIX
*----
SURFA=0.5*PI*ROUT
ALLOCATE(PIS(J2,NCOUR),PSJ(NCOUR,J2),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)
*
PSSX=0.0
RJ1=0.0
DO 50 I=1,J2
PISX=1.0
RJ2=RAYR2(I+1)**2
VV=PI*(RJ2-RJ1)
DO 20 J=1,J2
PISX=PISX-PP(I,J)*SIGT2(J1+J)
20 CONTINUE
PSSX=PSSX+PISX*SIGT2(J1+I)*VV/SURFA
IF(NCOUR.EQ.4) THEN
DEN1=2.0*(A+B)
PIS(I,1)=PISX*B/DEN1
PIS(I,2)=PISX*B/DEN1
PIS(I,3)=PISX*A/DEN1
PIS(I,4)=PISX*A/DEN1
ELSE
DO 30 IC=1,NCOUR
PIS(I,IC)=PISX/6.0
30 CONTINUE
ENDIF
*----
* COMPUTE THE REDUCED COLLISION PROBABILITY MATRIX FOR INCOMING
* NEUTRONS
*----
SURFA2=(0.5*PI*ROUT)/SCALE2
DO 40 IC=1,NCOUR
IF(I.LE.J2-1) THEN
PSJ(IC,I)=PISX*VV/SURFA2
ELSE IF(I.EQ.J2) THEN
PSJ(IC,I)=PISX*VV*SCALE1/SURFA2
ENDIF
40 CONTINUE
RJ1=RJ2
50 CONTINUE
DEALLOCATE(RAYR2)
*----
* COMPUTE THE TRANSMISSION PROBABILITIES
*----
PSSX=1.0-SCALE2*PSSX
IF(NCOUR.EQ.4) THEN
A=XX(JKG)
B=YY(JKG)
DEN1=MAX(2.0*B+A,2.0*A+B)
PBB(1)=B/DEN1
PBB(2)=MAX(A,2.0*A-B)/DEN1
PBB(3)=A/DEN1
PBB(4)=MAX(B,2.0*B-A)/DEN1
ELSE
PBB(1)=1.0/5.0
PBB(2)=1.0/5.0
PBB(3)=1.0/5.0
ENDIF
DO 65 JC=1,NCOUR
DO 60 IC=1,NCOUR
IF(NCOUR.EQ.4) THEN
IB=ISLR(IC,JC)
ELSE
IB=ISLH(IC,JC)
ENDIF
IF(IB.GT.0) THEN
PSS((JC-1)*NCOUR+IC)=PSSX*PBB(IB)
ELSE
PSS((JC-1)*NCOUR+IC)=0.0
ENDIF
60 CONTINUE
65 CONTINUE
SIGT2(J1+J2)=SIGT2(J1+J2)/SCALE1
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,J2-1
PIJW(IPIJ+(J-1)*J2+I)=PP(I,J)
80 CONTINUE
PIJW(IPIJ+(J2-1)*J2+I)=PP(I,J2)*SCALE1
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,J2-1
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('SYB003: 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,J2-1
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
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 200 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
200 CONTINUE
*
* COMPUTE THE SCATTERING-REDUCED TRANSMISSION PROBABILITY MATRIX.
DO 230 IC=1,NCOUR
DO 220 JC=1,NCOUR
WGAR=PSS((JC-1)*NCOUR+IC)
DO 210 K=1,J2
WGAR=WGAR+PSJ(IC,K)*SIGW2(J1+K)*PISW(IPIS+(JC-1)*J2+K)
210 CONTINUE
PSSW(IPSS+(JC-1)*NCOUR+IC)=WGAR
220 CONTINUE
230 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
240 CONTINUE
RETURN
END
|
