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*DECK MCGBIC
SUBROUTINE MCGBIC(SUBFFI,SUBFFA,SUBDLC,SUBSCH,CYCLIC,KPSYS,
1 IPRINT,IPTRK,IFTRAK,IPMACR,NDIM,K,N,NLONG,PHIOUT,
2 NZON,MATALB,M,NANI,NMU,NMAX,NANGL,NREG,NSOUT,SOUR,
3 IAAC,ISCR,LC,LFORW,PACA,ITST,MAXI,QFR,PHIIN,CAZ0,
4 CAZ1,CAZ2,CPO,ZMU,WZMU,V,EPS,EPSI,REPSI,SIGAL,LPS,
5 NG,NGEFF,NGIND,NCONV,LNCONV,NLIN,NFUNL,KEYFLX,KEYCUR,
6 STIS,NPJJM,REBFLG,LPRISM,N2REG,N2SOU,NZP,DELU,FACSYM,
7 IDIR,NBATCH)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Solve the linear system obtained by the characteristics formalism
* with BiCGSTAB iterative approach.
*
*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): R. Le Tellier
*
*Parameters:
* SUBFFI flux integration subroutine with isotropic source.
* SUBFFA flux integration subroutine with anisotropic source.
* SUBDLC flux integration subroutine with linear-discontinuous source.
* SUBSCH track coefficients calculation subroutine.
* CYCLIC cyclic tracking flag.
* KPSYS pointer array for each group properties.
* IPRINT print parameter (equal to zero for no print).
* IPTRK pointer to the tracking (L_TRACK signature).
* IFTRAK tracking file unit number.
* IPMACR pointer to the macrolib LCM object.
* NDIM number of dimensions for the geometry.
* K total number of volumes for which specific values
* of the neutron flux and reactions rates are required.
* N total number of unknowns in vectors SUNKNO and FUNKNO.
* NLONG number of spatial unknowns.
* PHIOUT output flux vector.
* NZON mixture-albedo index array in MCCG format.
* MATALB albedo-mixture index array in MOCC format.
* M number of material mixtures.
* NANI scattering anisotropy (=1 for isotropic scattering).
* NMU order of the polar quadrature set.
* NMAX maximum number of elements in a track.
* NANGL number of tracking angles in the plan.
* NREG number of regions (volumes).
* NSOUT number of outer surfaces.
* SOUR scratch.
* IAAC no acceleration / CDD acceleration of inner iterations (0/1).
* ISCR no acceleration / SCR acceleration of inner iterations (0/1).
* LC dimension of profiled matrices MCU and CQ.
* LFORW flag set to .false. to transpose the coefficient matrix.
* PACA type of preconditioner to solve the ACA corrective system.
* ITST output: number of inner iterations.
* MAXI maximum number of inner iterations allowed.
* QFR input source vector.
* PHIIN input flux vector.
* CAZ0 cosines of the tracking polar angles in 3D.
* CAZ1 first cosines of the different tracking azimuthal angles.
* CAZ2 second cosines of the different tracking azimuthal angles.
* CPO cosines of the different tracking polar angles in 2D.
* ZMU polar quadrature set.
* WZMU polar quadrature set.
* V volumes.
* EPS precision reached after min(MAXI,ITST) iterations.
* EPSI tolerance for stopping criterion. Process is stopped
* as soon as: ||Phi(n+1)-Phi(n)||/||Phi(n)|| <= eps
* with ||.|| the euclidean norm.
* REPSI array containing precision of each iteration.
* SIGAL total cross-section and albedo array.
* LPS used in scr acceleration.
* NG number of groups.
* NGEFF number of groups to process.
* NGIND index of the groups to process.
* NCONV array of convergence flag for each group.
* LNCONV number of unconverged groups.
* NLIN number of polynomial components in flux spatial expansion.
* NFUNL number of moments of the flux (in 2D: NFUNL=NANI*(NANI+1)/2).
* KEYFLX position of flux elements in FUNKNO vector.
* KEYCUR position of current elements in FUNKNO vector.
* STIS 'Source term isolation' option for flux integration.
* NPJJM number of pjj modes to store for STIS option.
* REBFLG ACA or SCR rebalancing flag.
* LPRISM 3D prismatic extended tracking flag.
* N2REG number of regions in the 2D tracking if LPRISM.
* N2SOU number of external surfaces in the 2D tracking if LPRISM.
* NZP number of z-plans if LPRISM.
* DELU input track spacing for 3D track reconstruction if LPRISM.
* FACSYM tracking symmetry factor for maximum track length if LPRISM.
* IDIR direction of fundamental current for TIBERE with MoC
* (=0,1,2,3).
* NBATCH number of tracks processed in each OpenMP core (default: =1).
*
*-----------------------------------------------------------------------
*
USE GANLIB
IMPLICIT NONE
*----
* SUBROUTINE ARGUMENTS
*----
TYPE(C_PTR) KPSYS(NGEFF),IPTRK,IPMACR
INTEGER NGEFF,IPRINT,IFTRAK,NDIM,K,N,NLONG,NG,NZON(NLONG),M,
1 NANI,NMU,NMAX,IAAC,LC,PACA,ITST(NGEFF),MAXI,NANGL,NREG,NSOUT,
2 ISCR,LPS,NGIND(NGEFF),LNCONV,NLIN,NFUNL,KEYFLX(NREG,NLIN,NFUNL),
3 KEYCUR(NLONG-NREG),STIS,NPJJM,MATALB(-NSOUT:NREG),N2REG,N2SOU,
4 NZP,IDIR,NBATCH
REAL QFR(N,NGEFF),PHIIN(N,NGEFF),CPO(NMU),ZMU(NMU),WZMU(NMU),
1 V(NLONG),EPS(NGEFF),EPSI,REPSI(MAXI,NGEFF),SIGAL(-6:M,NGEFF),
2 DELU,FACSYM
DOUBLE PRECISION CAZ0(NANGL),CAZ1(NANGL),CAZ2(NANGL),
1 PHIOUT(N,NGEFF),SOUR(N,NGEFF)
LOGICAL LFORW,CYCLIC,NCONV(NGEFF),REBFLG,LPRISM
EXTERNAL SUBFFI,SUBFFA,SUBDLC,SUBSCH
*---
* LOCAL VARIABLES
*---
INTEGER J,II,ITER,MAXINT
REAL R,BI,WI,RT1,EPSINT,REPSMAX
REAL SDOT
DOUBLE PRECISION DDOT
LOGICAL RHSFLG
INTRINSIC SQRT,ABS
*----
* ALLOCATABLE ARRAYS
*----
REAL, ALLOCATABLE, DIMENSION(:,:) :: RHS,PI,RI,SI,ROT,API,AUX
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(RHS(N,NGEFF),PI(N,NGEFF),RI(N,NGEFF),SI(N,NGEFF),
1 ROT(N,NGEFF),API(N,NGEFF),AUX(2,NGEFF))
*---
IF(MAXI.LT.4) CALL XABORT('MCGBIC: MAXI MUST BE >= 4.')
MAXINT=MAXI-1
EPSINT=0.01*EPSI
RHSFLG=.TRUE.
*---
ITER=1
* a first iteration
CALL MCGFL1(SUBFFI,SUBFFA,SUBDLC,SUBSCH,CYCLIC,KPSYS,IPRINT,IPTRK,
1 IFTRAK,IPMACR,NDIM,K,N,NLONG,PHIOUT,NZON,MATALB,M,NANI,NMU,
2 NMAX,NANGL,NREG,NSOUT,NG,NGEFF,NGIND,SOUR,IAAC,ISCR,LC,LFORW,
3 PACA,EPSINT,MAXINT,NLIN,NFUNL,KEYFLX,KEYCUR,QFR,PHIIN(1,1),
4 CAZ0,CAZ1,CAZ2,CPO,ZMU,WZMU,V,SIGAL,LPS,NCONV,.FALSE.,STIS,
5 NPJJM,REBFLG,LPRISM,N2REG,N2SOU,NZP,DELU,FACSYM,IDIR,NBATCH)
DO II=1,NGEFF
IF (NCONV(II)) THEN
DO J=1,N
RI(J,II)=REAL(PHIOUT(J,II))-PHIIN(J,II)
PHIIN(J,II)=REAL(PHIOUT(J,II))
ENDDO
R=SDOT(N,RI(1,II),1,RI(1,II),1)
REPSI(ITER,II)=REAL(SQRT(R/DDOT(N,PHIOUT(1,II),1,
1 PHIOUT(1,II),1)))
IF (REPSI(ITER,II).LE.EPSI) THEN
NCONV(II)=.FALSE.
ITST(II)=ITER
EPS(II)=REPSI(ITER,II)
LNCONV=LNCONV-1
ENDIF
IF (LNCONV.EQ.0) RETURN
ENDIF
ENDDO
*---
10 ITER=ITER+1
* compute initial residual vector
CALL MCGFL1(SUBFFI,SUBFFA,SUBDLC,SUBSCH,CYCLIC,KPSYS,IPRINT,IPTRK,
1 IFTRAK,IPMACR,NDIM,K,N,NLONG,PHIOUT,NZON,MATALB,M,NANI,NMU,
2 NMAX,NANGL,NREG,NSOUT,NG,NGEFF,NGIND,SOUR,IAAC,ISCR,LC,LFORW,
3 PACA,EPSINT,MAXINT,NLIN,NFUNL,KEYFLX,KEYCUR,QFR,PHIIN(1,1),
4 CAZ0,CAZ1,CAZ2,CPO,ZMU,WZMU,V,SIGAL,LPS,NCONV,.FALSE.,STIS,
5 NPJJM,REBFLG,LPRISM,N2REG,N2SOU,NZP,DELU,FACSYM,IDIR,NBATCH)
DO II=1,NGEFF
IF (NCONV(II)) THEN
DO J=1,N
RI(J,II)=REAL(PHIOUT(J,II))-PHIIN(J,II)
ENDDO
R=SDOT(N,RI(1,II),1,RI(1,II),1)
REPSI(ITER,II)=REAL(SQRT(R/DDOT(N,PHIOUT(1,II),1,
1 PHIOUT(1,II),1)))
IF (REPSI(ITER,II).LE.EPSI) THEN
NCONV(II)=.FALSE.
ITST(II)=ITER
EPS(II)=REPSI(ITER,II)
LNCONV=LNCONV-1
DO J=1,N
PHIIN(J,II)=REAL(PHIOUT(J,II))
ENDDO
ENDIF
IF (LNCONV.EQ.0) RETURN
DO J=1,N
PI(J,II)=RI(J,II)
ROT(J,II)=RI(J,II)
ENDDO
* RT2=R !!SDOT(N,RI,1,ROT,1)
AUX(1,II)=R !!SDOT(N,RI(1,II),1,ROT(1,II),1)
ENDIF
ENDDO
*---
IF (RHSFLG) THEN
* evaluate RHS of the linear system
IF (IPRINT.GT.3) THEN
WRITE(6,100) IAAC,ISCR
ENDIF
RHS(:N,:NGEFF)=0.0
CALL MCGFL1(SUBFFI,SUBFFA,SUBDLC,SUBSCH,CYCLIC,KPSYS,IPRINT,
1 IPTRK,IFTRAK,IPMACR,NDIM,K,N,NLONG,PHIOUT,NZON,MATALB,
2 M,NANI,NMU,NMAX,NANGL,NREG,NSOUT,NG,NGEFF,NGIND,SOUR,IAAC,
2 ISCR,LC,LFORW,PACA,EPSINT,MAXINT,NLIN,NFUNL,KEYFLX,KEYCUR,
3 QFR,RHS(1,1),CAZ0,CAZ1,CAZ2,CPO,ZMU,WZMU,V,SIGAL,LPS,
4 NCONV,.FALSE.,STIS,NPJJM,REBFLG,LPRISM,N2REG,N2SOU,NZP,
5 DELU,FACSYM,IDIR,NBATCH)
DO II=1,NGEFF
IF (NCONV(II)) THEN
DO J=1,N
RHS(J,II)=REAL(PHIOUT(J,II))
ENDDO
ENDIF
ENDDO
RHSFLG=.FALSE.
ENDIF
*
CALL MCGFL1(SUBFFI,SUBFFA,SUBDLC,SUBSCH,CYCLIC,KPSYS,IPRINT,IPTRK,
1 IFTRAK,IPMACR,NDIM,K,N,NLONG,PHIOUT,NZON,MATALB,M,NANI,NMU,
2 NMAX,NANGL,NREG,NSOUT,NG,NGEFF,NGIND,SOUR,IAAC,ISCR,LC,LFORW,
3 PACA,EPSINT,MAXINT,NLIN,NFUNL,KEYFLX,KEYCUR,QFR,PI(1,1),CAZ0,
4 CAZ1,CAZ2,CPO,ZMU,WZMU,V,SIGAL,LPS,NCONV,.FALSE.,STIS,NPJJM,
5 REBFLG,LPRISM,N2REG,N2SOU,NZP,DELU,FACSYM,IDIR,NBATCH)
ITER=ITER+1
DO II=1,NGEFF
IF (NCONV(II)) THEN
DO J=1,N
API(J,II)=PI(J,II)-REAL(PHIOUT(J,II))+RHS(J,II)
ENDDO
REPSI(ITER,II)=REPSI((ITER-1),II)
ENDIF
ENDDO
*
DO WHILE (ITER.LT.(MAXI-1))
* BiCGSTAB iterations
ITER=ITER+1
*
DO II=1,NGEFF
IF (NCONV(II)) THEN
AUX(2,II)=AUX(1,II)/SDOT(N,API(1,II),1,ROT(1,II),1)
DO J=1,N
SI(J,II)=RI(J,II)-AUX(2,II)*API(J,II)
ENDDO
ENDIF
ENDDO
*
CALL MCGFL1(SUBFFI,SUBFFA,SUBDLC,SUBSCH,CYCLIC,KPSYS,IPRINT,
1 IPTRK,IFTRAK,IPMACR,NDIM,K,N,NLONG,PHIOUT,NZON,MATALB,
2 M,NANI,NMU,NMAX,NANGL,NREG,NSOUT,NG,NGEFF,NGIND,SOUR,IAAC,
3 ISCR,LC,LFORW,PACA,EPSINT,MAXINT,NLIN,NFUNL,KEYFLX,KEYCUR,
4 QFR,SI(1,1),CAZ0,CAZ1,CAZ2,CPO,ZMU,WZMU,V,SIGAL,LPS,NCONV,
5 .FALSE.,STIS,NPJJM,REBFLG,LPRISM,N2REG,N2SOU,NZP,DELU,
6 FACSYM,IDIR,NBATCH)
REPSMAX=0.0
DO II=1,NGEFF
IF (NCONV(II)) THEN
DO J=1,N
RI(J,II)=SI(J,II)-REAL(PHIOUT(J,II))+RHS(J,II)
ENDDO
WI=SDOT(N,RI(1,II),1,SI(1,II),1)/
1 SDOT(N,RI(1,II),1,RI(1,II),1)
DO J=1,N
PHIIN(J,II)=PHIIN(J,II)+AUX(2,II)*PI(J,II)+WI*SI(J,II)
RI(J,II)=SI(J,II)-WI*RI(J,II)
ENDDO
R=SDOT(N,RI(1,II),1,RI(1,II),1)
REPSI(ITER,II)=SQRT(R/SDOT(N,PHIIN(1,II),1,
1 PHIIN(1,II),1))
REPSMAX=MAX(REPSMAX,REPSI(ITER,II))
IF (REPSI(ITER,II).LE.EPSI) THEN
NCONV(II)=.FALSE.
ITST(II)=ITER
EPS(II)=REPSI(ITER,II)
LNCONV=LNCONV-1
ENDIF
IF (LNCONV.EQ.0) GO TO 20
RT1=AUX(1,II)
AUX(1,II)=SDOT(N,RI(1,II),1,ROT(1,II),1)
BI=AUX(1,II)/RT1*AUX(2,II)/WI
DO J=1,N
PI(J,II)=RI(J,II)+BI*(PI(J,II)-WI*API(J,II))
ENDDO
ENDIF
ENDDO
*
CALL MCGFL1(SUBFFI,SUBFFA,SUBDLC,SUBSCH,CYCLIC,KPSYS,IPRINT,
1 IPTRK,IFTRAK,IPMACR,NDIM,K,N,NLONG,PHIOUT,NZON,MATALB,
2 M,NANI,NMU,NMAX,NANGL,NREG,NSOUT,NG,NGEFF,NGIND,SOUR,IAAC,
3 ISCR,LC,LFORW,PACA,EPSINT,MAXINT,NLIN,NFUNL,KEYFLX,KEYCUR,
4 QFR,PI(1,1),CAZ0,CAZ1,CAZ2,CPO,ZMU,WZMU,V,SIGAL,LPS,NCONV,
5 .FALSE.,STIS,NPJJM,REBFLG,LPRISM,N2REG,N2SOU,NZP,DELU,
6 FACSYM,IDIR,NBATCH)
ITER=ITER+1
DO II=1,NGEFF
IF (NCONV(II)) THEN
DO J=1,N
API(J,II)=PI(J,II)-REAL(PHIOUT(J,II))+RHS(J,II)
ENDDO
REPSI(ITER,II)=REPSI((ITER-1),II)
ENDIF
ENDDO
ENDDO
*
20 CONTINUE
* determine final residual norm
ITER=ITER+1
DO II=1,NGEFF
IF (NCONV(II)) THEN
ITST(II)=ITER
ELSE
IF (ITST(II).NE.1) THEN
NCONV(II)=.TRUE.
ITST(II)=ITST(II)+1
ENDIF
ENDIF
ENDDO
CALL MCGFL1(SUBFFI,SUBFFA,SUBDLC,SUBSCH,CYCLIC,KPSYS,IPRINT,IPTRK,
1 IFTRAK,IPMACR,NDIM,K,N,NLONG,PHIOUT,NZON,MATALB,M,NANI,NMU,
2 NMAX,NANGL,NREG,NSOUT,NG,NGEFF,NGIND,SOUR,0,0,LC,LFORW,PACA,
3 EPSINT,MAXINT,NLIN,NFUNL,KEYFLX,KEYCUR,QFR,PHIIN(1,1),CAZ0,
4 CAZ1,CAZ2,CPO,ZMU,WZMU,V,SIGAL,LPS,NCONV,.FALSE.,STIS,NPJJM,
5 REBFLG,LPRISM,N2REG,N2SOU,NZP,DELU,FACSYM,IDIR,NBATCH)
DO II=1,NGEFF
IF (NCONV(II)) THEN
DO J=1,N
RI(J,II)=REAL(PHIOUT(J,II))-PHIIN(J,II)
ENDDO
R=SDOT(N,RI(1,II),1,RI(1,II),1)
REPSI(ITST(II),II)=SQRT(R/SDOT(N,PHIIN(1,II),1,
1 PHIIN(1,II),1))
DO J=1,N
PHIIN(J,II)=REAL(PHIOUT(J,II))
ENDDO
EPS(II)=REPSI(ITST(II),II)
ENDIF
ENDDO
LNCONV=0
IF (ITER.LT.MAXI) THEN
DO II=1,NGEFF
IF (EPS(II).GT.EPSI) THEN
IF ((IAAC.GT.0).OR.(ISCR.GT.0)) THEN
IAAC=0
ISCR=0
RHSFLG=.TRUE.
ENDIF
IF (IPRINT.GT.2) WRITE(6,200) ITER
NCONV(II)=.TRUE.
LNCONV=LNCONV+1
ELSE
NCONV(II)=.FALSE.
ENDIF
ENDDO
IF (LNCONV.GT.0) GO TO 10
ENDIF
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(AUX,API,ROT,SI,RI,PI,RHS)
RETURN
*
100 FORMAT(31H RHS CALCULATED WITH AAC-SCR : ,I1,1H-,I1)
200 FORMAT(37H WARNING : BAD PREVISION, RESTART AT ,I4,10H ITERATION)
END
|
