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+*DECK TRIFLV
+ SUBROUTINE TRIFLV(KPSYS,INCONV,NGIND,IPTRK,IMPX,MAXIT,NGEFF,NREG,
+ 1 NUN,KEYFLX,FUNKNO,SUNKNO)
+*
+*-----------------------------------------------------------------------
+*
+*Purpose:
+* Solve N-group transport equation for fluxes using the diffusion
+* approximation or simplified PN method in TRIVAC.
+*
+*Copyright:
+* Copyright (C) 2007 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.
+* NUN total number of unknowns in vectors SUNKNO and FUNKNO.
+* 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,NUN,KEYFLX(NREG)
+ LOGICAL INCONV(NGEFF)
+ REAL FUNKNO(NUN,NGEFF),SUNKNO(NUN,NGEFF)
+*----
+* LOCAL VARIABLES
+*----
+ PARAMETER (IUNOUT=6,NSTATE=40,EPSINR=1.0E-5,ICL1=3,ICL2=3)
+ DOUBLE PRECISION F1,F2,R1,R2,DMU
+ INTEGER IPAR(NSTATE)
+ CHARACTER NAMP*12
+*----
+* ALLOCATABLE ARRAYS
+*----
+ REAL, ALLOCATABLE, DIMENSION(:) :: GAR,OLD1,OLD2
+*----
+* RECOVER TRIVAC SPECIFIC PARAMETERS.
+*----
+ CALL LCMGET(IPTRK,'STATE-VECTOR',IPAR)
+ ITY=2
+ IELEM=ABS(IPAR(9))
+ LL4=IPAR(11)
+ ISPLH=IPAR(13)
+ LX=IPAR(14)
+ LZ=IPAR(16)
+ NLF=IPAR(30)
+ IF(IPAR(12).EQ.2) ITY=3
+ IF((NLF.GT.0).AND.(ITY.GE.3)) ITY=10+ITY
+ IF((ITY.EQ.11).OR.(ITY.EQ.13)) LL4=LL4*NLF/2
+ NADI=IPAR(33)
+*----
+* MAIN LOOP OVER ENERGY GROUPS.
+*----
+ ALLOCATE(GAR(NUN),OLD1(NUN),OLD2(NUN))
+ GAR(:NUN)=0.0
+ OLD1(:NUN)=0.0
+ OLD2(:NUN)=0.0
+ DO 130 II=1,NGEFF
+ IF(.NOT.INCONV(II)) GO TO 130
+ IF(IMPX.GT.1) WRITE(IUNOUT,'(/25H TRIFLV: PROCESSING GROUP,I5,
+ 1 6H WITH ,A,1H.)') NGIND(II),'TRIVAC'
+*----
+* SOLVE FOR THE FLUXES. USE EQUATION (C.24) IN IGE-281.
+*----
+ NAMP='A001001'
+ OLD2(:NUN)=0.0
+ TEST=0.0
+ ITER=0
+ 20 ITER=ITER+1
+ IF(ITER.GT.MAXIT) THEN
+ WRITE(IUNOUT,'(46H TRIFLV: MAXIMUM NUMBER OF ONE-SPEED ITERATION,
+ 1 9H REACHED.)')
+ GO TO 130
+ ENDIF
+ DO 30 I=1,NUN
+ OLD1(I)=OLD2(I)
+ OLD2(I)=FUNKNO(I,II)
+ 30 CONTINUE
+ CALL MTLDLM(NAMP,IPTRK,KPSYS(II),LL4,ITY,FUNKNO(1,II),GAR)
+ DO 40 I=1,NUN
+ GAR(I)=SUNKNO(I,II)-GAR(I)
+ 40 CONTINUE
+ CALL FLDADI(NAMP,IPTRK,KPSYS(II),LL4,ITY,GAR,NADI)
+ DO 50 I=1,NUN
+ FUNKNO(I,II)=FUNKNO(I,II)+GAR(I)
+ 50 CONTINUE
+*----
+* VARIATIONAL ACCELERATION.
+*----
+ DMU=1.0D0
+ IF(MOD(ITER-1,ICL1+ICL2).GE.ICL1) THEN
+ F1=0.0D0
+ F2=0.0D0
+ DO 80 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)
+ 80 CONTINUE
+ DMU=-F1/F2
+ IF(DMU.GT.0.0) THEN
+ DO 90 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))
+ 90 CONTINUE
+ ENDIF
+ ENDIF
+*----
+* CALCULATE ERROR AND TEST FOR CONVERGENCE.
+*----
+ AAA=0.0
+ BBB=0.0
+ DO 100 I=1,NREG
+ IF(KEYFLX(I).EQ.0) GO TO 100
+ AAA=MAX(AAA,ABS(FUNKNO(KEYFLX(I),II)-OLD2(KEYFLX(I))))
+ BBB=MAX(BBB,ABS(FUNKNO(KEYFLX(I),II)))
+ 100 CONTINUE
+ IF(IMPX.GT.2) WRITE(IUNOUT,300) ITER,AAA,BBB,DMU
+ IF(AAA.LE.EPSINR*BBB) GO TO 130
+ IF(ITER.EQ.1) TEST=AAA
+ IF((ITER.GE.10).AND.(AAA.GT.TEST)) THEN
+ WRITE(IUNOUT,'(43H TRIFLV: UNABLE TO CONVERGE ONE-SPEED ITERA,
+ 1 6HTIONS.)')
+ GO TO 130
+ ENDIF
+ GO TO 20
+*----
+* END OF LOOP OVER ENERGY GROUPS
+*----
+ 130 CONTINUE
+ DEALLOCATE(OLD2,OLD1,GAR)
+ RETURN
+*
+ 300 FORMAT(28H TRIFLV: ONE-SPEED ITERATION,I3,8H ERROR=,1P,E11.4,
+ 1 5H OVER,E11.4,22H ACCELERATION FACTOR=,0P,F7.3)
+ END