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*DECK NSSFL5
SUBROUTINE NSSFL5(IPFLX,NUN,NG,NX,NY,NZ,LL4F,LL4X,LL4Y,LL4Z,NMIX,
> NALB,ICL1,ICL2,NADI,EPSNOD,MAXNOD,EPSTHR,MAXTHR,EPSOUT,MAXOUT,
> MAT,XX,YY,ZZ,XXX,YYY,ZZZ,IDL,VOL,KN,IQFR,QFR,DIFF,SIGR,CHI,SIGF,
> SCAT,BETA,FD,BNDTL,NPASS,MUX,MUY,MUZ,IMAX,IMAY,IMAZ,IPY,IPZ,IMPX)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Flux calculation for the analytic nodal method in Cartesian 3D
* geometry using the nodal correction iteration strategy.
*
*Copyright:
* Copyright (C) 2022 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
* IPFLX nodal flux.
* NUN number of unknowns per energy group.
* NG number of energy groups.
* NX number of nodes in the X direction.
* NY number of nodes in the Y direction.
* NZ number of nodes in the Z direction.
* LL4F number of nodal flux unknowns.
* LL4X number of nodal X-directed net currents unknowns.
* LL4Y number of nodal Y-directed net currents unknowns.
* LL4Z number of nodal Z-directed net currents unknowns.
* NMIX number of mixtures in the nodal calculation.
* NALB number of physical albedos.
* ICL1 number of free iterations in one cycle of the inverse power
* method (used for thermal iterations).
* ICL2 number of accelerated iterations in one cycle.
* NADI number of inner ADI iterations.
* EPSNOD nodal correction epsilon.
* MAXNOD maximum number of nodal correction iterations.
* EPSTHR thermal iteration epsilon.
* MAXTHR maximum number of thermal iterations.
* EPSOUT convergence epsilon for the power method.
* MAXOUT maximum number of iterations for the power method.
* MAT material mixtures.
* XX mesh spacings in the X direction.
* YY mesh spacings in the Y direction.
* ZZ mesh spacings in the Z direction.
* XXX Cartesian coordinates along the X axis.
* YYY Cartesian coordinates along the Y axis.
* ZZZ Cartesian coordinates along the Z axis.
* IDL position of averaged fluxes in unknown vector.
* VOL node volumes.
* KN node-ordered interface net current unknown list.
* IQFR boundary condition information.
* QFR albedo function information.
* DIFF diffusion coefficients
* SIGR removal cross sections.
* CHI fission spectra.
* SIGF nu times fission cross section.
* SCAT scattering cross section.
* BETA albedos.
* FD discontinuity factors.
* BNDTL set to 'flat' or 'quadratic'.
* NPASS number of transverse current iterations.
* MUX X-oriented compressed storage mode indices.
* MUY Y-oriented compressed storage mode indices.
* MUZ Z-oriented compressed storage mode indices.
* IMAX X-oriented position of each first non-zero column element.
* IMAY Y-oriented position of each first non-zero column element.
* IMAZ Z-oriented position of each first non-zero column element.
* IPY Y-oriented permutation matrices.
* IPZ Z-oriented permutation matrices.
* IMPX edition flag.
*
*-----------------------------------------------------------------------
*
USE GANLIB
*----
* SUBROUTINE ARGUMENTS
*----
TYPE(C_PTR) IPFLX
INTEGER NUN,NG,NX,NY,LL4F,LL4X,LL4Y,NMIX,NALB,ICL1,ICL2,
1 NADI,MAXNOD,MAXTHR,MAXOUT,IMPX,MAT(NX*NY*NZ),IDL(NX*NY*NZ),
2 KN(6,NX,NY,NZ),IQFR(6,NX,NY,NZ),NPASS,MUX(LL4F),MUY(LL4F),
3 MUZ(LL4F),IMAX(LL4F),IMAY(LL4F),IMAZ(LL4F),IPY(LL4F),IPZ(LL4F)
REAL EPSNOD,EPSTHR,EPSOUT,XX(NX*NY*NZ),YY(NX*NY*NZ),ZZ(NX*NY*NZ),
1 XXX(NX+1),YYY(NY+1),ZZZ(NZ+1),VOL(NX*NY*NZ),QFR(6,NX*NY*NZ),
2 DIFF(NMIX,NG),SIGR(NMIX,NG),CHI(NMIX,NG),SIGF(NMIX,NG),
3 SCAT(NMIX,NG,NG),BETA(NALB,NG,NG),FD(NMIX,6,NG,NG)
CHARACTER(LEN=12) :: BNDTL
*----
* LOCAL VARIABLES
*----
TYPE(C_PTR) JPFLX
INTEGER, PARAMETER :: NDIM=3
REAL :: COEF(6),KEFF,KEFF_OLD
*----
* ALLOCATABLE ARRAYS
*----
REAL, ALLOCATABLE, DIMENSION(:) :: EVECT
REAL, ALLOCATABLE, DIMENSION(:,:) :: A11X,A11Y,A11Z
REAL, ALLOCATABLE, DIMENSION(:,:,:) :: QFR2,DRIFT
REAL, POINTER, DIMENSION(:,:) :: SAVG
*
ALB(X)=0.5*(1.0-X)/(1.0+X)
*----
* SCRATCH STORAGE ALLOCATION
*----
NEL=NX*NY*NZ
N=LL4F*NG
ALLOCATE(QFR2(6,NEL,NG),EVECT(N))
ALLOCATE(DRIFT(6,NEL,NG),SAVG(NUN,NG))
*----
* ALBEDO PROCESSING
*----
QFR2(:6,:NEL,:NG)=0.0
DO IG=1,NG
DO IQW=1,6
DO I=1,NX
DO J=1,NY
DO K=1,NZ
IEL=(K-1)*NX*NY+(J-1)*NX+I
IALB=IQFR(IQW,I,J,K)
IF(IALB > 0) THEN
IF(IALB.GT.NALB) CALL XABORT('NSSFL5: BETA OVERFLOW.')
QFR2(IQW,IEL,IG)=QFR(IQW,IEL)*ALB(BETA(IALB,IG,IG))
ELSE
QFR2(IQW,IEL,IG)=QFR(IQW,IEL)
ENDIF
ENDDO
ENDDO
ENDDO
ENDDO
ENDDO
*----
* INITIALIZATIONS
*----
KEFF_OLD=0.0
KEFF=1.0
CALL LCMLEN(IPFLX,'FLUX',ILONG,ITYLCM)
IF(ILONG == 0) THEN
JPFLX=LCMLID(IPFLX,'FLUX',NG)
SAVG(:NUN,:NG)=1.0
ELSE
JPFLX=LCMGID(IPFLX,'FLUX')
DO IG=1,NG
CALL LCMLEL(JPFLX,IG,ILONG,ITYLCM)
IF(ILONG /= NUN) CALL XABORT('NSSFL5: INVALID FLUX.')
CALL LCMGDL(JPFLX,IG,SAVG(1,IG))
ENDDO
CALL LCMGET(IPFLX,'K-EFFECTIVE',KEFF)
ENDIF
CALL LCMLEN(IPFLX,'DRIFT',ILONG,ITYLCM)
IF(ILONG == 0) THEN
JPFLX=LCMLID(IPFLX,'DRIFT',6*NEL)
DRIFT(:6,:NEL,:NG)=0.0
ELSE
JPFLX=LCMGID(IPFLX,'DRIFT')
DO IG=1,NG
CALL LCMLEL(JPFLX,IG,ILONG,ITYLCM)
IF(ILONG /= 6*NEL) CALL XABORT('NSSFL5: INVALID DRIFT.')
CALL LCMGDL(JPFLX,IG,DRIFT(1,1,IG))
ENDDO
ENDIF
DO IND1=1,LL4F
DO IG=1,NG
EVECT((IG-1)*LL4F+IND1)=SAVG(IND1,IG)
ENDDO
ENDDO
*----
* NODAL CORRECTION LOOP
*----
NMAX=IMAX(LL4F)
NMAY=IMAY(LL4F)
NMAZ=IMAZ(LL4F)
ALLOCATE(A11X(NMAX,NG),A11Y(NMAY,NG),A11Z(NMAZ,NG))
JTER=0
SAVG(:NUN,:NG)=0.0
IOFY=7*LL4F+LL4X
IOFZ=7*LL4F+LL4X+LL4Y
DO WHILE((ABS(KEFF_OLD-KEFF) >= EPSNOD).OR.(JTER==0))
JTER=JTER+1
IF(IMPX > 0) THEN
WRITE(6,'(36H NSSFL5: Nodal correction iteration=,I5)')
> JTER
ENDIF
IF(JTER > MAXNOD) THEN
WRITE(6,'(/22H ACCURACY AT ITERATION,I4,2H =,1P,E12.5)')
> JTER,ABS(KEFF_OLD-KEFF)
CALL XABORT('NSSFL5: NODAL ITERATION FAILURE')
ENDIF
!
! set CMFD matrices
IOF=0
DO IG=1,NG
CALL NSSMXYZ(LL4F,NDIM,NX,NY,NZ,NMIX,MAT,XX,YY,ZZ,IDL,VOL,
> IQFR,QFR2(1,1,IG),DIFF(1,IG),DRIFT(1,1,IG),SIGR(1,IG),
> MUX,MUY,MUZ,IMAX,IMAY,IMAZ,IPY,IPZ,A11X(1,IG),A11Y(1,IG),
> A11Z(1,IG))
ENDDO
!
! CMFD power iteration
DELTA=ABS(KEFF_OLD-KEFF)
KEFF_OLD=KEFF
CALL NSSEIG(NMAX,NMAY,NMAZ,LL4F,NDIM,NEL,NMIX,NG,MAT,IDL,VOL,
> MUX,MUY,MUZ,IMAX,IMAY,IMAZ,IPY,IPZ,CHI,SIGF,SCAT,A11X,A11Y,A11Z,
> EPSTHR,MAXTHR,NADI,EPSOUT,MAXOUT,ICL1,ICL2,ITER,EVECT,KEFF,IMPX)
IF(IMPX > 0) WRITE(6,10) JTER,KEFF,ITER,DELTA
IF(IMPX > 2) THEN
WRITE(6,'(1X,A)') 'NSSFL5: EVECT='
IOF=0
DO IG=1,NG
WRITE(6,'(1X,1P,14E12.4)') EVECT(IOF+1:IOF+LL4F)
IOF=IOF+LL4F
ENDDO
ENDIF
!
! begin construct SAVG
IF(NUN /= IOFZ+LL4Z) CALL XABORT('NSSFL5: INVALID NUN.')
DO IEL=1,LL4F
DO IG=1,NG
SAVG(IEL,IG)=EVECT((IG-1)*LL4F+IEL)
ENDDO
ENDDO
!
! one- and two-node anm relations
CALL NSSANM3(NUN,NX,NY,NZ,LL4F,LL4X,LL4Y,NG,BNDTL,NPASS,NMIX,
> IDL,KN,IQFR,QFR2,MAT,XXX,YYY,ZZZ,KEFF,DIFF,SIGR,CHI,SIGF,SCAT,
> FD,SAVG)
!
! compute new drift coefficients
DRIFT(:6,:NEL,:NG)=0.0
DO IG=1,NG
DO K=1,NZ
DO J=1,NY
DO I=1,NX
IEL=(K-1)*NX*NY+(J-1)*NX+I
IND1=IDL(IEL)
IF(IND1 == 0) CYCLE
KK1=IQFR(1,I,J,K)
KK2=IQFR(2,I,J,K)
JXM=KN(1,I,J,K) ; JXP=KN(2,I,J,K)
JYM=KN(3,I,J,K) ; JYP=KN(4,I,J,K)
JZM=KN(5,I,J,K) ; JZP=KN(6,I,J,K)
CALL NSSCO(NX,NY,NZ,NMIX,I,J,K,MAT,XX,YY,ZZ,DIFF(1,IG),
> IQFR(1,I,J,K),QFR2(1,IEL,IG),COEF)
IF((KK1 < 0) .AND. (KK2 < 0)) THEN
DRIFT(1,IEL,IG)=-(SAVG(7*LL4F+JXM,IG)+COEF(1)*
> SAVG(IND1,IG))/SAVG(IND1,IG)
DRIFT(2,IEL,IG)=-(SAVG(7*LL4F+JXP,IG)-COEF(2)*
> SAVG(IND1,IG))/SAVG(IND1,IG)
ELSE IF(KK1 < 0) THEN
DRIFT(1,IEL,IG)=-(SAVG(7*LL4F+JXM,IG)+COEF(1)*
> SAVG(IND1,IG))/SAVG(IND1,IG)
IND3=IDL((K-1)*NX*NY+(J-1)*NX+I+1)
IF(IND3 /= 0) DRIFT(2,IEL,IG)=-(SAVG(7*LL4F+JXP,IG)+
> COEF(2)*(SAVG(IND3,IG)-SAVG(IND1,IG)))/(SAVG(IND3,IG)+
> SAVG(IND1,IG))
ELSE IF(KK2 < 0) THEN
IND2=IDL((K-1)*NX*NY+(J-1)*NX+I-1)
IF(IND2 /= 0) DRIFT(1,IEL,IG)=-(SAVG(7*LL4F+JXM,IG)+
> COEF(1)*(SAVG(IND1,IG)-SAVG(IND2,IG)))/(SAVG(IND1,IG)+
> SAVG(IND2,IG))
DRIFT(2,IEL,IG)=-(SAVG(7*LL4F+JXP,IG)-COEF(2)*
> SAVG(IND1,IG))/SAVG(IND1,IG)
ELSE
IND2=IDL((K-1)*NX*NY+(J-1)*NX+I-1)
IND3=IDL((K-1)*NX*NY+(J-1)*NX+I+1)
IF(IND2 /= 0) DRIFT(1,IEL,IG)=-(SAVG(7*LL4F+JXM,IG)+
> COEF(1)*(SAVG(IND1,IG)-SAVG(IND2,IG)))/(SAVG(IND1,IG)+
> SAVG(IND2,IG))
IF(IND3 /= 0) DRIFT(2,IEL,IG)=-(SAVG(7*LL4F+JXP,IG)+
> COEF(2)*(SAVG(IND3,IG)-SAVG(IND1,IG)))/(SAVG(IND3,IG)+
> SAVG(IND1,IG))
ENDIF
KK3=IQFR(3,I,J,K)
KK4=IQFR(4,I,J,K)
IF((KK3 < 0).AND.(KK4 < 0)) THEN
DRIFT(3,IEL,IG)=-(SAVG(IOFY+JYM,IG)+COEF(3)*
> SAVG(IND1,IG))/SAVG(IND1,IG)
DRIFT(4,IEL,IG)=-(SAVG(IOFY+JYP,IG)-COEF(4)*
> SAVG(IND1,IG))/SAVG(IND1,IG)
ELSE IF(KK3 < 0) THEN
DRIFT(3,IEL,IG)=-(SAVG(IOFY+JYM,IG)+COEF(3)*
> SAVG(IND1,IG))/SAVG(IND1,IG)
IND3=IDL((K-1)*NX*NY+J*NX+I)
IF(IND3 /= 0) DRIFT(4,IEL,IG)=-(SAVG(IOFY+JYP,IG)+
> COEF(4)*(SAVG(IND3,IG)-SAVG(IND1,IG)))/(SAVG(IND3,IG)+
> SAVG(IND1,IG))
ELSE IF(KK4 < 0) THEN
IND2=IDL((K-1)*NX*NY+(J-2)*NX+I)
IF(IND2 /= 0) DRIFT(3,IEL,IG)=-(SAVG(IOFY+JYM,IG)+
> COEF(3)*(SAVG(IND1,IG)-SAVG(IND2,IG)))/(SAVG(IND1,IG)+
> SAVG(IND2,IG))
DRIFT(4,IEL,IG)=-(SAVG(IOFY+JYP,IG)-COEF(4)*
> SAVG(IND1,IG))/SAVG(IND1,IG)
ELSE
IND2=IDL((K-1)*NX*NY+(J-2)*NX+I)
IND3=IDL((K-1)*NX*NY+J*NX+I)
IF(IND2 /= 0) DRIFT(3,IEL,IG)=-(SAVG(IOFY+JYM,IG)+
> COEF(3)*(SAVG(IND1,IG)-SAVG(IND2,IG)))/(SAVG(IND1,IG)+
> SAVG(IND2,IG))
IF(IND3 /= 0) DRIFT(4,IEL,IG)=-(SAVG(IOFY+JYP,IG)+
> COEF(4)*(SAVG(IND3,IG)-SAVG(IND1,IG)))/(SAVG(IND3,IG)+
> SAVG(IND1,IG))
ENDIF
KK5=IQFR(5,I,J,K)
KK6=IQFR(6,I,J,K)
IF((KK5 < 0).AND.(KK6 < 0)) THEN
DRIFT(5,IEL,IG)=-(SAVG(IOFZ+JZM,IG)+COEF(5)*
> SAVG(IND1,IG))/SAVG(IND1,IG)
DRIFT(6,IEL,IG)=-(SAVG(IOFZ+JZP,IG)-COEF(6)*
> SAVG(IND1,IG))/SAVG(IND1,IG)
ELSE IF(KK5 < 0) THEN
DRIFT(5,IEL,IG)=-(SAVG(IOFZ+JZM,IG)+COEF(5)*
> SAVG(IND1,IG))/SAVG(IND1,IG)
IND3=IDL(K*NX*NY+(J-1)*NX+I)
IF(IND3 /= 0) DRIFT(6,IEL,IG)=-(SAVG(IOFZ+JZP,IG)+
> COEF(6)*(SAVG(IND3,IG)-SAVG(IND1,IG)))/(SAVG(IND3,IG)+
> SAVG(IND1,IG))
ELSE IF(KK6 < 0) THEN
IND2=IDL((K-2)*NX*NY+(J-1)*NX+I)
IF(IND2 /= 0) DRIFT(5,IEL,IG)=-(SAVG(IOFZ+JZM,IG)+
> COEF(5)*(SAVG(IND1,IG)-SAVG(IND2,IG)))/(SAVG(IND1,IG)+
> SAVG(IND2,IG))
DRIFT(6,IEL,IG)=-(SAVG(IOFZ+JZP,IG)-COEF(6)*
> SAVG(IND1,IG))/SAVG(IND1,IG)
ELSE
IND2=IDL((K-2)*NX*NY+(J-1)*NX+I)
IND3=IDL(K*NX*NY+(J-1)*NX+I)
IF(IND2 /= 0) DRIFT(5,IEL,IG)=-(SAVG(IOFZ+JZM,IG)+
> COEF(5)*(SAVG(IND1,IG)-SAVG(IND2,IG)))/(SAVG(IND1,IG)+
> SAVG(IND2,IG))
IF(IND3 /= 0) DRIFT(6,IEL,IG)=-(SAVG(IOFZ+JZP,IG)+
> COEF(6)*(SAVG(IND3,IG)-SAVG(IND1,IG)))/(SAVG(IND3,IG)+
> SAVG(IND1,IG))
ENDIF
ENDDO
ENDDO
ENDDO
ENDDO
IF(IMPX > 5) THEN
DO IG=1,NG
WRITE(6,'(28H NSSFL5: DRIFT COEFFICIENTS(,I5,2H):)') IG
DO IEL=1,NX*NY*NZ
WRITE(6,'(1P,I7,6E12.4)') IEL,DRIFT(:6,IEL,IG)
ENDDO
ENDDO
ENDIF
ENDDO
DEALLOCATE(A11Z,A11Y,A11X)
*----
* END OF NODAL CORRECTION LOOP
*----
IF(IMPX.GT.0) WRITE(6,20) KEFF,JTER
IF(IMPX > 2) THEN
WRITE(6,'(/21H NSSFL5: UNKNOWNS----)')
DO IG=1,NG
WRITE(6,'(14H NSSFL5: SAVG(,I4,2H)=)') IG
WRITE(6,'(1P,12E12.4)') SAVG(:LL4F,IG)
WRITE(6,'(19H X-BOUNDARY FLUXES:)')
WRITE(6,'(1P,12E12.4)') SAVG(LL4F+1:2*LL4F,IG)
WRITE(6,'(1P,12E12.4)') SAVG(2*LL4F+1:3*LL4F,IG)
WRITE(6,'(19H Y-BOUNDARY FLUXES:)')
WRITE(6,'(1P,12E12.4)') SAVG(3*LL4F+1:4*LL4F,IG)
WRITE(6,'(1P,12E12.4)') SAVG(4*LL4F+1:5*LL4F,IG)
WRITE(6,'(19H Z-BOUNDARY FLUXES:)')
WRITE(6,'(1P,12E12.4)') SAVG(5*LL4F+1:6*LL4F,IG)
WRITE(6,'(1P,12E12.4)') SAVG(6*LL4F+1:7*LL4F,IG)
WRITE(6,'(12H X-CURRENTS:)')
WRITE(6,'(1P,12E12.4)') SAVG(7*LL4F+1:IOFY,IG)
WRITE(6,'(12H Y-CURRENTS:)')
WRITE(6,'(1P,12E12.4)') SAVG(IOFY+1:IOFZ,IG)
WRITE(6,'(12H Z-CURRENTS:)')
WRITE(6,'(1P,12E12.4)') SAVG(IOFZ+1:NUN,IG)
WRITE(6,'(5H ----)')
ENDDO
ENDIF
*----
* SAVE SOLUTION
*----
JPFLX=LCMGID(IPFLX,'FLUX')
DO IG=1,NG
CALL LCMPDL(JPFLX,IG,NUN,2,SAVG(1,IG))
ENDDO
JPFLX=LCMGID(IPFLX,'DRIFT')
DO IG=1,NG
CALL LCMPDL(JPFLX,IG,6*NEL,2,DRIFT(1,1,IG))
ENDDO
CALL LCMPUT(IPFLX,'K-EFFECTIVE',1,2,KEFF)
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(EVECT,QFR2)
DEALLOCATE(SAVG,DRIFT)
RETURN
*
10 FORMAT(14H NSSFL5: JTER=,I4,11H CMFD KEFF=,1P E13.6,
1 12H OBTAINED IN,I4,28H CMFD ITERATIONS WITH ERROR=,
2 1P,E11.4,1H.)
20 FORMAT(18H NSSFL5: ANM KEFF=,F11.8,12H OBTAINED IN,I5,
1 29H NODAL CORRECTION ITERATIONS.)
END
|
