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*DECK SYBJJ2
SUBROUTINE SYBJJ2 (IPAS,NMCEL,NMERGE,NGEN,IJAT,NPIJ,NPIS,EPSJ,
1 NUNKNO,FUNKNO,SUNKNO,IMPX,NCOUR,NMC,IFR,ALB,INUM,MIX,DVX,IGEN,
2 PIJW,PISW,PSJW,PSSW)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Compute the neutron flux and interface currents in a 2-D Cartesian
* or hexagonal assembly using the current iteration method with
* Roth X 4, DP0 or DP1 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
* IPAS total number of regions.
* NMCEL total number of cells in the domain.
* NMERGE total number of merged cells for which specific values
* of the neutron flux and reactions rates are required.
* Many cells with different position in the domain can
* be merged before the neutron flux calculation if they
* own the same generating cell (NMERGE.le.NMCEL).
* NGEN total number of generating cells. A generating cell is
* defined by its material and dimensions, irrespective of
* its position in the domain (NGEN.le.NMERGE).
* IJAT total number of distinct out-currents.
* NPIJ size of cellwise scattering-reduced collision probability
* matrices.
* NPIS size of cellwise scattering-reduced escape probability
* matrices.
* EPSJ stopping criterion for flux-current iterations.
* NUNKNO total number of unknowns in vectors SUNKNO and FUNKNO.
* SUNKNO input source vector.
* IMPX print flag (equal to 0 for no print).
* NCOUR number of incoming currents (=4 Cartesian lattice;
* =6 hexagonal lattice).
* NMC offset of the first volume in each generating cell.
* IFR index-number of in-currents.
* ALB transmission/albedo associated with each in-current.
* INUM index-number of the merged cell associated to each cell.
* MIX index-number of out-currents.
* DVX weight associated with each out-current.
* Note: IFR, ALB, MIX and DVX contains information to rebuild
* the geometrical 'A' matrix.
* IGEN index-number of the generating cell associated with each
* merged cell.
* 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.
*
*Parameters: input/output
* FUNKNO unknown vector.
*
*-----------------------------------------------------------------------
*
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER IPAS,NMCEL,NMERGE,NGEN,IJAT,NPIJ,NPIS,NUNKNO,IMPX,NCOUR,
1 NMC(NGEN+1),IFR(NCOUR*NMCEL),INUM(NMCEL),MIX(NCOUR*NMERGE),
2 IGEN(NMERGE)
REAL EPSJ,FUNKNO(NUNKNO),SUNKNO(NUNKNO),ALB(NCOUR*NMCEL),
1 DVX(NCOUR*NMERGE),PIJW(NPIJ),PISW(NCOUR*NPIS),PSJW(NCOUR*NPIS),
2 PSSW(NGEN*NCOUR*NCOUR)
*----
* LOCAL VARIABLES
*----
REAL PIJ,PIS
LOGICAL LOGTES
PARAMETER (MAXIT=400,LACCFC=2,ICL1=3,ICL2=3)
*----
* ALLOCATABLE ARRAYS
*----
INTEGER, DIMENSION(:), POINTER :: INDPIJ,INDNMC
DOUBLE PRECISION, DIMENSION(:), POINTER :: CIT0
DOUBLE PRECISION, DIMENSION(:,:), POINTER :: CITR,AITR
DOUBLE PRECISION, DIMENSION(:), POINTER :: WCURR
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(INDPIJ(NGEN),INDNMC(NMERGE))
ALLOCATE(CITR(3,IJAT),CIT0(IJAT),AITR(2,IJAT))
ALLOCATE(WCURR(IJAT))
*
IPIJ=0
DO 10 JKG=1,NGEN
J2=NMC(JKG+1)-NMC(JKG)
INDPIJ(JKG)=IPIJ
IPIJ=IPIJ+J2*J2
10 CONTINUE
KNMC=0
DO 20 JKK=1,NMERGE
JKG=IGEN(JKK)
J2=NMC(JKG+1)-NMC(JKG)
INDNMC(JKK)=KNMC
KNMC=KNMC+J2
20 CONTINUE
*
DO 30 I=1,IJAT
WCURR(I)=1.0D0
CIT0(I)=0.0D0
CITR(1,I)=FUNKNO(IPAS+I)
30 CONTINUE
*----
* COMPUTE PSJW * Q(*) CONTRIBUTION
*----
DO 42 IKK=1,NMERGE
IKG=IGEN(IKK)
I1P=NMC(IKG)
I2=NMC(IKG+1)-I1P
IT=NCOUR*(IKK-1)
KNMC=INDNMC(IKK)
DO 41 I=1,I2
DO 40 IC=1,NCOUR
JCC=MIX(IT+IC)
PBJ=PSJW(I1P*NCOUR+(I-1)*NCOUR+IC)
CIT0(JCC)=CIT0(JCC)+PBJ*DVX(IT+IC)*SUNKNO(KNMC+I)
40 CONTINUE
41 CONTINUE
42 CONTINUE
*----
* COMPUTE NORMALIZATION VECTOR WCURR
*----
DO 52 ICEL=1,NMCEL
IKK=INUM(ICEL)
IT=NCOUR*(IKK-1)
IS=NCOUR*(ICEL-1)
IKG=IGEN(IKK)
IPSS=(IKG-1)*NCOUR*NCOUR
DO 51 JC=1,NCOUR
J1=IFR(IS+JC)
DO 50 IC=1,NCOUR
PSS=PSSW(IPSS+(JC-1)*NCOUR+IC)
WCURR(J1)=WCURR(J1)-PSS*ALB(IS+JC)*DVX(IT+IC)
50 CONTINUE
51 CONTINUE
52 CONTINUE
*
ISTART=1
TEST=0.0D0
ITER=0
70 ITER=ITER+1
IF(ITER.GT.MAXIT) THEN
WRITE(6,'(/47H SYBJJ2: *** WARNING *** MAXIMUM NUMBER OF ITER,
1 15HATIONS REACHED.)')
GO TO 190
ENDIF
IT3=MOD(ITER,3)+1
IT2=MOD(ITER-1,3)+1
IT1=MOD(ITER-2,3)+1
DO 80 I=1,IJAT
CITR(IT3,I)=CIT0(I)
80 CONTINUE
*----
* COMPUTE PSSW * J(-) CONTRIBUTION
*----
DO 92 ICEL=1,NMCEL
IKK=INUM(ICEL)
IT=NCOUR*(IKK-1)
IS=NCOUR*(ICEL-1)
IKG=IGEN(IKK)
IPSS=(IKG-1)*NCOUR*NCOUR
DO 91 JC=1,NCOUR
J1=IFR(IS+JC)
DO 90 IC=1,NCOUR
J2=MIX(IT+IC)
PSS=PSSW(IPSS+(JC-1)*NCOUR+IC)
CITR(IT3,J2)=CITR(IT3,J2)+PSS*ALB(IS+JC)*DVX(IT+IC)*CITR(IT2,J1)
90 CONTINUE
91 CONTINUE
92 CONTINUE
*----
* NORMALIZATION
*----
S1=0.0D0
S2=0.0D0
DO 100 I=1,IJAT
S1=S1+WCURR(I)*CITR(IT3,I)
S2=S2+CIT0(I)
100 CONTINUE
ZNORM=S2/S1
IF(ZNORM.LT.0.0D0) ZNORM=1.0D0
DO 110 I=1,IJAT
CITR(IT3,I)=CITR(IT3,I)*ZNORM
110 CONTINUE
*----
* ONE/TWO PARAMETER ACCELERATION
*----
ALP=1.0D0
BET=0.0D0
LOGTES=(1+MOD(ITER-ISTART,ICL1+ICL2).GT.ICL1)
IF(LOGTES) THEN
DO 120 I=1,IJAT
AITR(1,I)=CITR(IT3,I)-CITR(IT2,I)
AITR(2,I)=CITR(IT2,I)-CITR(IT1,I)
120 CONTINUE
DO 132 ICEL=1,NMCEL
IKK=INUM(ICEL)
IT=NCOUR*(IKK-1)
IS=NCOUR*(ICEL-1)
IKG=IGEN(IKK)
IPSS=(IKG-1)*NCOUR*NCOUR
DO 131 JC=1,NCOUR
J1=IFR(IS+JC)
DO 130 IC=1,NCOUR
J2=MIX(IT+IC)
PSS=PSSW(IPSS+(JC-1)*NCOUR+IC)*ALB(IS+JC)*DVX(IT+IC)
AITR(1,J2)=AITR(1,J2)-PSS*(CITR(IT3,J1)-CITR(IT2,J1))
AITR(2,J2)=AITR(2,J2)-PSS*(CITR(IT2,J1)-CITR(IT1,J1))
130 CONTINUE
131 CONTINUE
132 CONTINUE
IF((LACCFC.EQ.1).OR.(MOD(ITER-ISTART,ICL1+ICL2).EQ.ICL1)) THEN
S1=0.0D0
S2=0.0D0
DO 140 I=1,IJAT
S1=S1+(CITR(IT3,I)-CITR(IT2,I))*AITR(1,I)
S2=S2+AITR(1,I)*AITR(1,I)
140 CONTINUE
IF(S2.EQ.0.0D0) THEN
ISTART=ITER+1
ELSE
ALP=S1/S2
IF(ALP.LE.0.0D0) THEN
ISTART=ITER+1
ALP=1.0D0
ENDIF
ENDIF
DO 150 I=1,IJAT
CITR(IT3,I)=CITR(IT2,I)+ALP*(CITR(IT3,I)-CITR(IT2,I))
150 CONTINUE
ELSE IF(LACCFC.EQ.2) THEN
S1=0.0D0
S2=0.0D0
S3=0.0D0
S4=0.0D0
S5=0.0D0
DO 160 I=1,IJAT
S1=S1+(CITR(IT3,I)-CITR(IT2,I))*AITR(1,I)
S2=S2+AITR(1,I)*AITR(1,I)
S3=S3+(CITR(IT3,I)-CITR(IT2,I))*AITR(2,I)
S4=S4+AITR(1,I)*AITR(2,I)
S5=S5+AITR(2,I)*AITR(2,I)
160 CONTINUE
DET=S2*S5-S4*S4
IF(DET.EQ.0.0D0) THEN
ISTART=ITER+1
ELSE
ALP=(S5*S1-S4*S3)/DET
BET=(S2*S3-S4*S1)/DET
IF(ALP.LE.0.0D0) THEN
ISTART=ITER+1
ALP=1.0D0
BET=0.0D0
ENDIF
ENDIF
DO 170 I=1,IJAT
CITR(IT3,I)=CITR(IT2,I)+ALP*(CITR(IT3,I)-CITR(IT2,I))+
1 BET*(CITR(IT2,I)-CITR(IT1,I))
170 CONTINUE
ENDIF
ENDIF
*----
* CHECK THE CONVERGENCE ERROR
*----
ERR1=0.0D0
ERR2=0.0D0
DO 180 I=1,IJAT
ERR1=MAX(ERR1,ABS(CITR(IT3,I)-CITR(IT2,I)))
ERR2=MAX(ERR2,ABS(CITR(IT3,I)))
180 CONTINUE
IF(IMPX.GT.3) WRITE(6,'(30H SYBJJ2: CURRENT ITERATION NB.,I4,
1 7H ERROR=,1P,E10.3,5H OVER,E10.3,15H NORMALIZATION=,E10.3,
2 14H ACCELERATION=,2E11.3,1H.)') ITER,ERR1,ERR2,ZNORM,ALP,
3 BET/ALP
IF(ITER.EQ.1) TEST=ERR1/ERR2
IF((ITER.GT.20).AND.(ERR1/ERR2.GT.TEST)) THEN
WRITE(6,'(/45H SYBJJ2: *** WARNING *** CONVERGENCE DIFFICUL,
1 5HTIES.)')
GO TO 190
ENDIF
IF(LOGTES.OR.(ERR1.GT.EPSJ*ERR2)) GO TO 70
IF(IMPX.GT.2) WRITE(6,'(37H SYBJJ2: CURRENT CONVERGENCE AT ITERA,
1 8HTION NB.,I4,7H ERROR=,1P,E10.3,5H OVER,E10.3,1H.)') ITER,ERR1,
2 ERR2
*
190 DO 200 I=1,IPAS
FUNKNO(I)=0.0
200 CONTINUE
DO 210 I=1,IJAT
FUNKNO(IPAS+I)=REAL(CITR(IT3,I))
210 CONTINUE
*----
* COMPUTE PISW * J(-) CONTRIBUTION
*----
DO 240 ICEL=1,NMCEL
IKK=INUM(ICEL)
IS=NCOUR*(ICEL-1)
IKG=IGEN(IKK)
I1P=NMC(IKG)
I2=NMC(IKG+1)-I1P
KNMC=INDNMC(IKK)
DO 230 J=1,I2
DO 220 JC=1,NCOUR
J1=IFR(IS+JC)
PIS=PISW(I1P*NCOUR+(JC-1)*I2+J)
FUNKNO(KNMC+J)=FUNKNO(KNMC+J)+PIS*ALB(IS+JC)*FUNKNO(IPAS+J1)
220 CONTINUE
230 CONTINUE
240 CONTINUE
*----
* COMPUTE PIJW * Q(*) CONTRIBUTION
*----
DO 270 IKK=1,NMERGE
IKG=IGEN(IKK)
I2=NMC(IKG+1)-NMC(IKG)
KNMC=INDNMC(IKK)
DO 260 I=1,I2
DO 250 J=1,I2
PIJ=PIJW(INDPIJ(IKG)+(I-1)*I2+J)
FUNKNO(KNMC+J)=FUNKNO(KNMC+J)+PIJ*SUNKNO(KNMC+I)
250 CONTINUE
260 CONTINUE
270 CONTINUE
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(WCURR)
DEALLOCATE(AITR,CIT0,CITR)
DEALLOCATE(INDNMC,INDPIJ)
RETURN
END
|
