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*DECK GPTAFL
SUBROUTINE GPTAFL (IPTRK,IPSYS0,IPFLUP,LL4,ITY,NUN,NGRP,ICL1,ICL2,
1 NSTART,IMPX,IMPH,TITR,EPS2,MAXINR,EPSINR,NADI,MAXX0,FKEFF,EVECT,
2 ADECT,FKEFF2,EASS,SOUR)
*
*
*-----------------------------------------------------------------------
*
*Purpose:
* Solution of a multigroup fixed source eigenvalue problem for the
* calculation of an adjoint gpt solution in Trivac. use the precondi-
* tioned power method.
*
*Copyright:
* Copyright (C) 1987 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
* IPTRK L_TRACK pointer to the tracking information
* IPSYS0 L_SYSTEM pointer to unperturbed system matrices
* IPFLUP L_FLUX pointer to the gpt solution
* LL4 order of the system matrices.
* ITY type of solution (2: classical Trivac; 3: Thomas-Raviart).
* NUN number of unknowns in each energy group.
* NGRP number of energy groups.
* ICL1 number of free iterations in one cycle of the inverse power
* method
* ICL2 number of accelerated iterations in one cycle
* NSTART GMRES method flag. =0: use Livolant acceleration;
* >0: restarts the GMRES method every NSTART iterations.
* IMPX print parameter. =0: no print; =1: minimum printing;
* =2: iteration history is printed; =3: solution is printed.
* IMPH =0: no action is taken
* =1: the flux is compared to a reference flux stored on lcm
* =2: the convergence histogram is printed
* =3: the convergence histogram is printed with axis and
* titles. the plotting file is completed
* =4: the convergence histogram is printed with axis, acce-
* leration factors and titles. the plotting file is
* completed.
* TITR character*72 title
* EPS2 convergence criteria for the flux
* MAXINR maximum number of thermal iterations.
* EPSINR thermal iteration epsilon.
* NADI initial number of inner adi iterations per outer iteration
* MAXX0 maximum number of outer iterations
* FKEFF effective multiplication factor
* EVECT unknown vector for the non perturbed direct flux
* ADECT unknown vector for the non perturbed adjoint flux
* SOUR fixed source
*
*Parameters: output
* FKEFF2 perturbed effective multiplication factor
* EASS converged generalized adjoint
*
*References:
* A. H\'ebert, 'Preconditioning the power method for reactor
* calculations', Nucl. Sci. Eng., 94, 1 (1986).
*
*-----------------------------------------------------------------------
*
USE GANLIB
*----
* SUBROUTINE ARGUMENTS
*----
TYPE(C_PTR) IPTRK,IPSYS0,IPFLUP
CHARACTER TITR*72,HSMG*131
INTEGER LL4,ITY,NUN,NGRP,ICL1,ICL2,NSTART,IMPX,IMPH,MAXINR,NADI,
1 MAXX0
REAL EPS2,EPSINR,FKEFF,EVECT(NUN,NGRP),ADECT(NUN,NGRP),FKEFF2,
1 EASS(NUN,NGRP),SOUR(NUN,NGRP)
*----
* LOCAL VARIABLES
*----
CHARACTER*12 TEXT12
DOUBLE PRECISION AIL,BIL,EVAL,ZNORM,GAZ,DAZ
REAL TKT,TKB
REAL, DIMENSION(:), ALLOCATABLE :: WORK1,WORK3
REAL, DIMENSION(:,:), ALLOCATABLE :: GRAD1,GAR1
REAL, DIMENSION(:), POINTER :: AGAR
TYPE(C_PTR) AGAR_PTR
DATA EPS1/1.0E-4/
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(GRAD1(NUN,NGRP),GAR1(NUN,NGRP),WORK1(NUN))
*
CALL MTOPEN(IMPX,IPTRK,LL4)
IF(LL4.GT.NUN) CALL XABORT('DELDFL: INVALID NUMBER OF UNKNOWNS.')
*----
* UNPERTURBED EIGENVALUE CALCULATION.
*----
AIL=0.0D0
BIL=0.0D0
DO 85 IGR=1,NGRP
WRITE(TEXT12,'(1HA,2I3.3)') IGR,IGR
CALL MTLDLM(TEXT12,IPTRK,IPSYS0,LL4,ITY,EVECT(1,IGR),GRAD1(1,IGR))
WORK1(:LL4)=0.0
DO 70 JGR=1,NGRP
IF(JGR.EQ.IGR) GO TO 40
WRITE(TEXT12,'(1HA,2I3.3)') IGR,JGR
CALL LCMLEN(IPSYS0,TEXT12,ILONG,ITYLCM)
IF(ILONG.EQ.0) GO TO 40
IF(ITY.EQ.13) THEN
ALLOCATE(WORK3(LL4))
CALL MTLDLM(TEXT12,IPTRK,IPSYS0,LL4,ITY,EVECT(1,JGR),WORK3(1))
DO 20 I=1,LL4
GRAD1(I,IGR)=GRAD1(I,IGR)-WORK3(I)
20 CONTINUE
DEALLOCATE(WORK3)
ELSE
CALL LCMGPD(IPSYS0,TEXT12,AGAR_PTR)
CALL C_F_POINTER(AGAR_PTR,AGAR,(/ NUN /))
DO 30 I=1,ILONG
GRAD1(I,IGR)=GRAD1(I,IGR)-AGAR(I)*EVECT(I,JGR)
30 CONTINUE
ENDIF
*
40 WRITE(TEXT12,'(1HB,2I3.3)') IGR,JGR
CALL LCMLEN(IPSYS0,TEXT12,ILONG,ITYLCM)
IF(ILONG.EQ.0) GO TO 70
CALL LCMGPD(IPSYS0,TEXT12,AGAR_PTR)
CALL C_F_POINTER(AGAR_PTR,AGAR,(/ NUN /))
DO 60 I=1,ILONG
WORK1(I)=WORK1(I)+AGAR(I)*EVECT(I,JGR)
60 CONTINUE
*
70 CONTINUE
DO 80 I=1,LL4
AIL=AIL+ADECT(I,IGR)*GRAD1(I,IGR)
BIL=BIL+ADECT(I,IGR)*WORK1(I)
80 CONTINUE
85 CONTINUE
EVAL=AIL/BIL
FKEFF2=REAL(1.0D0/EVAL)
IF(ABS(FKEFF-1.0/EVAL).GT.EPS1) CALL XABORT('GPTAFL: THE COMPUTE'
1 //'D AND PROVIDED K-EFFECTIVES ARE INCONSISTENTS.')
*----
* VALIDATION OF THE FIXED SOURCE TERM.
*----
AIL=0.0D0
BIL=0.0D0
DO 95 IGR=1,NGRP
DO 90 I=1,LL4
GAZ=EVECT(I,IGR)*SOUR(I,IGR)
DAZ=EVECT(I,IGR)**2
AIL=AIL+GAZ
BIL=BIL+DAZ
90 CONTINUE
95 CONTINUE
GAZ=ABS(AIL)/ABS(BIL)/REAL(LL4)
IF(AIL.EQ.0.0) THEN
EASS(:NUN,:NGRP)=0.0
FKEFF2=0.0
DEALLOCATE(GRAD1,GAR1,WORK1)
RETURN
ENDIF
IF(IMPX.GE.1) THEN
WRITE(6,'(/28H GPTAFL: ORTHONORMALIZATION=,1P,E11.4)') GAZ
ENDIF
IF(GAZ.GT.EPS2) THEN
WRITE(HSMG,'(46HGPTAFL: THE SOURCE TERM IS NOT ORTHOGONAL TO T,
1 26HHE DIRECT REFERENCE FLUX (,1P,E11.4,2H).)') GAZ
CALL XABORT(HSMG)
ENDIF
*----
* ORTHONORMALIZATION OF THE SOURCE TERM.
*----
AIL=0.0D0
BIL=0.0D0
GAR1(:NUN,:NGRP)=0.0
DO 110 IGR=1,NGRP
DO 100 JGR=1,NGRP
WRITE(TEXT12,'(1HB,2I3.3)') JGR,IGR
CALL LCMLEN(IPSYS0,TEXT12,ILONG,ITYLCM)
IF(ILONG.EQ.0) GO TO 100
CALL LCMGPD(IPSYS0,TEXT12,AGAR_PTR)
CALL C_F_POINTER(AGAR_PTR,AGAR,(/ NUN /))
DO I=1,ILONG
GAR1(I,IGR)=GAR1(I,IGR)+AGAR(I)*ADECT(I,JGR)
ENDDO
100 CONTINUE
DO I=1,LL4
AIL=AIL+EVECT(I,IGR)*SOUR(I,IGR)
BIL=BIL+EVECT(I,IGR)*GAR1(I,IGR)
ENDDO
110 CONTINUE
DO 125 IGR=1,NGRP
DO 120 I=1,LL4
SOUR(I,IGR)=SOUR(I,IGR)-REAL(AIL/BIL)*GAR1(I,IGR)
120 CONTINUE
125 CONTINUE
*----
* SCRATCH STORAGE DEALLOCATION.
*----
DEALLOCATE(GRAD1,GAR1,WORK1)
*----
* LIVOLANT ACCELERATION.
*----
IF(IMPX.GE.1) WRITE (6,600) NADI
IF(NSTART.EQ.0) THEN
CALL GPTLIV(IPTRK,IPSYS0,IPFLUP,.TRUE.,LL4,ITY,NUN,NGRP,ICL1,
1 ICL2,IMPX,IMPH,TITR,NADI,MAXINR,MAXX0,EPS2,EPSINR,EVAL,EVECT,
2 ADECT,EASS,SOUR,TKT,TKB,ZNORM,M)
*----
* GMRES.
*----
ELSE IF(NSTART.GT.0) THEN
CALL GPTMRA(IPTRK,IPSYS0,IPFLUP,.TRUE.,LL4,ITY,NUN,NGRP,ICL1,
1 ICL2,IMPX,NADI,MAXINR,NSTART,MAXX0,EPS2,EPSINR,EVAL,EVECT,ADECT,
2 EASS,SOUR,TKT,TKB,ZNORM,M)
ENDIF
*----
* SOLUTION EDITION.
*----
IF(IMPX.GE.1) WRITE (6,610) M
IF(IMPX.GE.3) THEN
DO 130 IGR=1,NGRP
WRITE (6,620) IGR,(EASS(I,IGR),I=1,LL4)
130 CONTINUE
ENDIF
RETURN
*
600 FORMAT(1H1/50H GPTAFL: ITERATIVE PROCEDURE BASED ON PRECONDITION,
1 17HED POWER METHOD (,I2,37H ADI ITERATIONS PER OUTER ITERATION)./
2 9X,40HADJOINT FIXED SOURCE EIGENVALUE PROBLEM.)
610 FORMAT(/23H GPTAFL: CONVERGENCE IN,I4,12H ITERATIONS.)
620 FORMAT(//52H GPTAFL: GENERALIZED ADJOINT CORRESPONDING TO THE GR,
1 3HOUP,I4//(5X,1P,8E14.5))
END
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