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*DECK PIJRHL
SUBROUTINE PIJRHL(IPRT,NREG,NSOUT,SIGTAL,PROB)
*
*-----------------------------------------------------------------------
*
*Purpose:
* HELIOS type normalization of collision probs (CP).
*
*Copyright:
* Copyright (C) 1994 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): R. Roy, E. Varin
*
*Parameters: input
* IPRT print level.
* NREG number of zones for geometry.
* NSOUT number of surfaces for geometry.
* SIGTAL albedo-sigt vector.
*
*Parameters: input/output
* PROB CP matrix for all types.
*
*References:
* R. Roy and G. Marleau,
* Normalization Techniques for CP Matrices,
* CONF/PHYSOR-90, Marseille/France, V 2, P IX-40 (1990).
* \\\\
* E.A. Villarino, R.J.J. Stamm'ler, A.A. Ferri and J.J. Casal
* HELIOS: Angularly Dependent Collision Probabilities.
* Nucl.Sci.Eng. 112,16-31, 1992.
*
*-----------------------------------------------------------------------
*
IMPLICIT NONE
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER IPRT,NREG,NSOUT
REAL SIGTAL(-NSOUT:NREG)
DOUBLE PRECISION PROB(*)
*----
* LOCAL VARIABLES
*----
INTEGER IUNOUT,NITMAX,NIT,IPRINT,IR,JR,IP,IPRB,IND,I,J,CPTLB,
> CPTAC,CTOT,NSURC,NSURM,NVOLC,NVOLM
LOGICAL NOTCON
DOUBLE PRECISION NOM,DENOM,DMU,WFSPAD,WFSP,EPSCON,R1,R2,TOTCON,
> TMPCON
CHARACTER HSMG*131
PARAMETER (IUNOUT=6, IPRINT=10, EPSCON=1.0E-6, NITMAX=20)
*----
* ALLOCATABLE ARRAYS
*----
DOUBLE PRECISION, ALLOCATABLE, DIMENSION(:) :: CHI
DOUBLE PRECISION, ALLOCATABLE, DIMENSION(:,:) :: WEIG
*
*----- INTRINSIC FUNCTION FOR POSITION IN CONDENSE PIJ MATRIX
*
IND(I,J)=(MAX(I+NSOUT+1,J+NSOUT+1)*
> (MAX(I+NSOUT+1,J+NSOUT+1)-1))/2
> +MIN(I+NSOUT+1,J+NSOUT+1)
*----
* SCRATCH STORAGE ALLOCATION
* WEIG : ADDITIVE WEIGHT
*----
ALLOCATE(WEIG(-NSOUT:NREG,3),CHI(-NSOUT:NREG))
*
NOTCON= .FALSE.
CPTLB = 3
CPTAC = 3
CTOT = CPTAC+CPTLB
*
* INITIALISATION OF WEIGHTS
DO 60 IR=-NSOUT, NREG
WEIG(IR,1)=0.0D0
WEIG(IR,2)=0.5D0
WEIG(IR,3)=0.5D0
60 CONTINUE
DO 50 IR=-NSOUT, NREG
CHI(IR)= 1.0D0
IF( IR.GE.0.AND.SIGTAL(IR).EQ.0.0D0 )THEN
CHI(IR)= 0.0D0
ENDIF
50 CONTINUE
*
* MAIN ITERATION LOOP
IF(IPRT.GT.2) WRITE(IUNOUT,'(A24)')
> 'ITER. MU ERROR '
DO 110 NIT=1,NITMAX
*
DO 220 IR= -NSOUT, NREG
WFSPAD = PROB(IND(IR,0))
> + CHI(IR)*PROB(IND(IR,IR))*WEIG(IR,3)
WFSP = CHI(IR)*PROB(IND(IR,IR))
DO 200 JR=-NSOUT, NREG
WFSPAD = WFSPAD - CHI(JR)*WEIG(JR,3)*PROB(IND(IR,JR))
WFSP = WFSP + CHI(JR)*PROB(IND(IR,JR))
200 CONTINUE
IF(WFSP.NE.0.0) WEIG(IR,3) = WFSPAD / WFSP
220 CONTINUE
*
* ACCELERATION TECHNIQUE
IF( MOD(NIT-1,CTOT).GE.CPTAC )THEN
NOM = 0.0D0
DENOM = 0.0D0
DO 10 IR=-NSOUT, NREG
R1= WEIG(IR,2) - WEIG(IR,1)
R2= WEIG(IR,3) - WEIG(IR,2)
NOM = NOM + R1*(R2-R1)
DENOM = DENOM + (R2-R1)*(R2-R1)
10 CONTINUE
IF(DENOM.EQ.0.0D0) THEN
DMU = 1.0D0
ELSE
DMU = - NOM / DENOM
ENDIF
IF( DMU.GT.50.0D0 .OR. DMU.LT.0.0D0 ) THEN
WRITE(HSMG,'(37HPIJRHL: PROBLEM OF ACCELERATION (DMU=,1P,
> E11.4,2H).)') DMU
CALL XABORT(HSMG)
ENDIF
DO 20 IR=-NSOUT, NREG
WEIG(IR,3) = WEIG(IR,2) + DMU *
> (WEIG(IR,3) - WEIG(IR,2))
WEIG(IR,2) = WEIG(IR,1) + DMU *
> (WEIG(IR,2) - WEIG(IR,1))
20 CONTINUE
ELSE
DMU = 1.0D0
ENDIF
*
* CALCULATIONS OF SQUARE DISTANCE BETWEEN 2 ITERATIONS
* AND UPDATING THE SOLUTION
TOTCON = 0.0D0
DO 100 IR=-NSOUT, NREG
TMPCON=ABS(WEIG(IR,3)-WEIG(IR,2))/WEIG(IR,3)
TOTCON=MAX(TMPCON,TOTCON)
WEIG(IR,1)= WEIG(IR,2)
WEIG(IR,2)= WEIG(IR,3)
100 CONTINUE
IF( IPRT.GT.2 ) WRITE(IUNOUT,'(I3,F9.5,E15.7)') NIT,DMU,TOTCON
*
* CONVERGENCE TEST
IF( TOTCON.LT.EPSCON )GO TO 120
*
110 CONTINUE
NOTCON=.TRUE.
WRITE(IUNOUT,'(35H PIJRHL: WEIGHTS NOT CONVERGED )')
120 CONTINUE
*
* RENORMALIZE "PIJ" SYMMETRIC MATRIX
IPRB = 0
DO 240 IR = -NSOUT, NREG
DO 230 JR= -NSOUT, IR
IPRB= IPRB+1
IF( IR.NE.0.AND.JR.NE.0 )THEN
PROB(IPRB)=PROB(IPRB)*(WEIG(IR,1)+WEIG(JR,1))
ENDIF
230 CONTINUE
240 CONTINUE
*
* PRINT WEIGHT FACTORS IF THERE IS A PROBLEM...
IF( NOTCON .OR. IPRT.GE.IPRINT )THEN
WRITE(IUNOUT,'(30H0 SURFACE WEIGHTS FACTORS /)')
NSURC = -1
DO 300 IP = 1, (9 +NSOUT) / 10
NSURM= MAX( -NSOUT, NSURC-9 )
WRITE(IUNOUT,'(10X,10( A5, I6)/)')
> (' SUR ',-IR,IR= NSURC, NSURM, -1)
WRITE(IUNOUT,'(10H WEIGHT ,10F11.5)')
> (WEIG(IR,1),IR=NSURC,NSURM,-1)
NSURC = NSURC - 10
300 CONTINUE
WRITE(IUNOUT,'(30H0 VOLUME WEIGHTS FACTORS /)')
NVOLC = 1
DO 310 IP = 1, (9 + NREG) / 10
NVOLM= MIN( NREG, NVOLC+9 )
WRITE(IUNOUT,'(10X,10( A5 , I6)/)')
> (' VOL ',IR,IR=NVOLC,NVOLM, 1)
WRITE(IUNOUT,'(10H WEIGHT ,10F11.5)')
> (WEIG(IR,1),IR=NVOLC,NVOLM, 1)
NVOLC = NVOLC + 10
310 CONTINUE
ENDIF
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(CHI,WEIG)
RETURN
END
|
