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*DECK PNFLV
SUBROUTINE PNFLV(KPSYS,INCONV,NGIND,IPTRK,IMPX,MAXIT,NGEFF,NREG,
1 NBMIX,NUN,MAT,VOL,KEYFLX,FUNKNO,SUNKNO)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Solve N-group transport equation for fluxes using the spherical
* harmonics (PN) method in BIVAC.
*
*Copyright:
* Copyright (C) 2004 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
* KPSYS pointer to the assembly matrices. KPSYS is an array of
* directories.
* INCONV energy group convergence flag (set to .false. if converged).
* NGIND energy group indices assign to the NGEFF set.
* IPTRK pointer to the tracking (L_TRACK signature).
* IMPX print flag (equal to zero for no print).
* NGEFF number of energy groups processed in parallel.
* NREG total number of regions for which specific values of the
* neutron flux and reactions rates are required.
* NBMIX number of mixtures.
* NUN total number of unknowns in vectors SUNKNO and FUNKNO.
* MAT index-number of the mixture type assigned to each volume.
* VOL volumes.
* KEYFLX position of averaged flux elements in FUNKNO vector.
* SUNKNO input source vector.
*
*Parameters: input/output
* FUNKNO unknown vector.
*
*-----------------------------------------------------------------------
*
USE GANLIB
*----
* SUBROUTINE ARGUMENTS
*----
TYPE(C_PTR) KPSYS(NGEFF),IPTRK
INTEGER MAXIT,NGEFF,NGIND(NGEFF),IMPX,NREG,NBMIX,NUN,
1 MAT(NREG),KEYFLX(NREG)
LOGICAL INCONV(NGEFF)
REAL VOL(NREG),FUNKNO(NUN,NGEFF),SUNKNO(NUN,NGEFF)
*----
* LOCAL VARIABLES
*----
PARAMETER (IUNOUT=6,NSTATE=40,EPSINR=1.0E-5,ICL1=3,
1 ICL2=3)
INTEGER IPAR(NSTATE)
DOUBLE PRECISION F1,F2,R1,R2,DMU
CHARACTER NAMP*12
*----
* ALLOCATABLE ARRAYS
*----
INTEGER, ALLOCATABLE, DIMENSION(:) :: MU,KN,IPERT
REAL, ALLOCATABLE, DIMENSION(:) :: QFR,SGDI,RR,VV,SYS,OLD1,OLD2,
1 XX,YY
*----
* RECOVER PN SPECIFIC PARAMETERS.
*----
CALL LCMGET(IPTRK,'STATE-VECTOR',IPAR)
IF(NREG.NE.IPAR(1)) CALL XABORT('PNFLV: INVALID VALUE OF NREG.')
IF(NUN.NE.IPAR(2)) CALL XABORT('PNFLV: INVALID VALUE OF NUN.')
ITYPE=IPAR(6)
IELEM=IPAR(8)
ICOL=IPAR(9)
ISPLH=IPAR(10)
L4=IPAR(11)
LX=IPAR(12)
NLF=IPAR(14)
ISPN=IPAR(15)
ISCAT=IPAR(16)
NVD=IPAR(17)
*----
* RECOVER TRACKING INFORMATION.
*----
ALLOCATE(MU(L4))
CALL LCMGET(IPTRK,'MU',MU)
CALL LCMLEN(IPTRK,'KN',MAXKN,ITYLCM)
CALL LCMLEN(IPTRK,'QFR',MAXQF,ITYLCM)
ALLOCATE(KN(MAXKN),QFR(MAXQF))
CALL LCMGET(IPTRK,'KN',KN)
CALL LCMGET(IPTRK,'QFR',QFR)
IIMAX=MU(L4)*(NLF/2)
ALLOCATE(SYS(IIMAX))
*----
* RECOVER THE FINITE ELEMENT UNIT STIFFNESS MATRIX.
*----
CALL LCMSIX(IPTRK,'BIVCOL',1)
CALL LCMLEN(IPTRK,'T',LC,ITYLCM)
ALLOCATE(RR(LC*LC),VV(LC*(LC-1)))
CALL LCMGET(IPTRK,'R',RR)
CALL LCMGET(IPTRK,'V',VV)
CALL LCMSIX(IPTRK,' ',2)
*----
* MAIN LOOP OVER ENERGY GROUPS.
*----
ALLOCATE(OLD1(NUN),OLD2(NUN))
DO 140 II=1,NGEFF
IF(.NOT.INCONV(II)) GO TO 140
IF(IMPX.GT.1) WRITE(IUNOUT,'(/24H PNFLV: PROCESSING GROUP,I5,
1 6H WITH ,A,1H.)') NGIND(II),'BIVAC/PN'
*----
* RECOVER CROSS SECTIONS.
*----
CALL LCMGET(KPSYS(II),'STATE-VECTOR',IPAR)
NAN=IPAR(8)
ALLOCATE(SGDI(NBMIX*NAN))
DO 10 IL=0,NAN-1
WRITE(NAMP,'(4HSCAI,I2.2,6H001001)') IL
CALL LCMGET(KPSYS(II),NAMP,SGDI(IL*NBMIX+1))
10 CONTINUE
*----
* INNER ITERATION LOOP FOR ONE-GROUP TRANSPORT EQUATION.
*----
CALL LCMGET(KPSYS(II),'IA001001',SYS)
OLD2(:NUN)=0.0
TEST=0.0
ITER=0
30 ITER=ITER+1
IF(ITER.GT.MAXIT) THEN
WRITE(IUNOUT,'(43H PNFLV: MAXIMUM NUMBER OF ONE-SPEED ITERATI,
1 11HON REACHED.)')
GO TO 100
ENDIF
DO 40 I=1,NUN
OLD1(I)=OLD2(I)
OLD2(I)=FUNKNO(I,II)
40 CONTINUE
IF((ITYPE.EQ.2).OR.((ITYPE.EQ.5).AND.(ISPN.EQ.1))) THEN
ALLOCATE(XX(NREG),YY(NREG))
CALL LCMGET(IPTRK,'XX',XX)
CALL LCMGET(IPTRK,'YY',YY)
CALL PNFL2E(NREG,IELEM,ICOL,XX,YY,MAT,VOL,NBMIX,NLF,NVD,
1 NAN,SGDI,L4,KN,QFR,MU,IIMAX,LC,RR,VV,SYS,SUNKNO(1,II),
2 FUNKNO(1,II),1)
DEALLOCATE(YY,XX)
ELSE IF((ITYPE.EQ.2).OR.((ITYPE.EQ.8).AND.(ISPN.EQ.1))) THEN
NBLOS=LX/3
ALLOCATE(IPERT(NBLOS))
CALL LCMGET(IPTRK,'SIDE',SIDE)
CALL LCMGET(IPTRK,'IPERT',IPERT)
CALL PNFH2E(IELEM,ICOL,NBLOS,SIDE,NLF,NVD,L4,IPERT,KN,QFR,MU,
1 IIMAX,LC,VV,SYS,SUNKNO(1,II),FUNKNO(1,II),1)
DEALLOCATE(IPERT)
ELSE
CALL XABORT('PNFLV: TYPE OF DISCRETIZATION NOT IMPLEMENTED.')
ENDIF
IF(NLF.EQ.2) GO TO 100
*----
* VARIATIONAL ACCELERATION.
*----
DMU=1.0D0
IF(MOD(ITER-1,ICL1+ICL2).GE.ICL1) THEN
F1=0.0
F2=0.0
DO 70 I=1,NUN
R1=OLD2(I)-OLD1(I)
R2=FUNKNO(I,II)-OLD2(I)
F1=F1+R1*(R2-R1)
F2=F2+(R2-R1)*(R2-R1)
70 CONTINUE
DMU=-F1/F2
IF(DMU.GT.0.0) THEN
DO 80 I=1,NUN
FUNKNO(I,II)=OLD2(I)+REAL(DMU)*(FUNKNO(I,II)-OLD2(I))
OLD2(I)=OLD1(I)+REAL(DMU)*(OLD2(I)-OLD1(I))
80 CONTINUE
ENDIF
ENDIF
*--- CALCULATE ERROR AND TEST FOR CONVERGENCE.
AAA=0.0
BBB=0.0
DO 90 I=1,NREG
IF(KEYFLX(I).EQ.0) GO TO 90
AAA=MAX(AAA,ABS(FUNKNO(KEYFLX(I),II)-OLD2(KEYFLX(I))))
BBB=MAX(BBB,ABS(FUNKNO(KEYFLX(I),II)))
90 CONTINUE
IF(IMPX.GT.2) WRITE(IUNOUT,300) ITER,AAA,BBB,DMU
IF(AAA.LE.EPSINR*BBB) GO TO 100
IF(ITER.EQ.1) TEST=AAA
IF((ITER.GE.10).AND.(AAA.GT.TEST)) THEN
WRITE(IUNOUT,'(43H PNFLV: UNABLE TO CONVERGE ONE-SPEED ITERAT,
1 5HIONS.)')
GO TO 100
ENDIF
GO TO 30
100 DEALLOCATE(SGDI)
*----
* END OF LOOP OVER ENERGY GROUPS.
*----
140 CONTINUE
DEALLOCATE(OLD2,OLD1,SYS,VV,RR,QFR,KN,MU)
IF((IMPX.GT.0).AND.(NLF.GT.2)) WRITE(IUNOUT,'(15H PNFLV: NUMBER ,
1 24HOF ONE-SPEED ITERATIONS=,I5,1H.)') ITER
RETURN
*
300 FORMAT(27H PNFLV: ONE-SPEED ITERATION,I3,8H ERROR=,1P,E11.4,
1 5H OVER,E11.4,22H ACCELERATION FACTOR=,0P,F7.3)
END
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