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|
!
!-----------------------------------------------------------------------
!
!Purpose:
! Calculation of the collision probabilities for the multicell
! surfacic approximation.
!
!Copyright:
! Copyright (C) 2025 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 pointer to the tracking (L_TRACK signature).
! IFTRAK tracking file unit.
! IMPX print flag (equal to zero for no print).
! NREGIO total number of merged blocks for which specific values
! of the neutron flux and reactions rates are required.
! NBMIX number of mixtures (NBMIX=max(MAT(i))).
! MAT index-number of the mixture type assigned to each volume.
! VOL volumes.
! SIGT0 total macroscopic cross sections ordered by mixture.
! SIGW0 P0 within-group scattering macroscopic cross sections
! ordered by mixture.
! NELPIJ number of elements in pij matrix.
! ILK leakage flag (=.true. if neutron leakage through external
! boundary is present).
! NBATCH number of tracks dispached in eack OpenMP core.
! TITREC title.
! NALBP number of multigroup physical albedos.
! ALBP multigroup physical albedos.
!
!Parameters: output
! PIJ reduced and symmetrized collision probabilities.
!
!-----------------------------------------------------------------------
!
SUBROUTINE MUSP(IPTRK,IFTRAK,IMPX,NREGIO,NBMIX,MAT,VOL,SIGT0,SIGW0,NELPIJ, &
& ILK,NBATCH,TITREC,NALBP,ALBP,PIJ)
USE GANLIB
!----
! SUBROUTINE ARGUMENTS
!----
LOGICAL ILK
TYPE(C_PTR) IPTRK
INTEGER IFTRAK,IMPX,NREGIO,NBMIX,MAT(NREGIO),NELPIJ,NBATCH,NALBP
REAL VOL(NREGIO),SIGT0(0:NBMIX),SIGW0(0:NBMIX),PIJ(NELPIJ),ALBP(NALBP)
CHARACTER TITREC*72
!----
! LOCAL VARIABLES
!----
PARAMETER (EPS1=1.0E-4,NSTATE=40)
TYPE(C_PTR) JPTRK,KPTRK
INTEGER ISTATT(NSTATE),NNPSYS(1)
CHARACTER TITRE2*72
logical LSKIP
!----
! ALLOCATABLE ARRAYS
!----
INTEGER, ALLOCATABLE, DIMENSION(:) :: MATALB,NMC_NODE,NMC_SURF,MAT2,IGEN,INUM, &
& IFR,MIX,IMAC
REAL, ALLOCATABLE, DIMENSION(:) :: SIGT2,SIGW2,PIJW,PISW,PSJW,PSSW,WORK,ALB,DVX
REAL, ALLOCATABLE, DIMENSION(:,:) :: VOLSUR,PP,PSSB
DOUBLE PRECISION, ALLOCATABLE, DIMENSION(:,:) :: DPROB,DPROBX
!
IND(I,J) = MAX(I+J3+1,J+J3+1)*(MAX(I+J3+1,J+J3+1)-1)/2 &
& + MIN(I+J3+1,J+J3+1)
!
WPR(I,J)= REAL(DPROB( IND(I,J),1 ) / DPROB( IND(I,0),1 ))
!----
! BICKLEY FLAG
!----
SAVE IBICKL
DATA IBICKL/0/
!----
! RECOVER BICKLEY TABLES
!----
IF(IBICKL.EQ.0) THEN
CALL XDRTA2
IBICKL=1
ENDIF
!----
! RECOVER SALT SPECIFIC PARAMETERS
!----
REWIND IFTRAK
CALL LCMGET(IPTRK,'STATE-VECTOR',ISTATT)
IF(NREGIO.NE.ISTATT(1)) THEN
CALL XABORT('MUSP: STATE VECTOR HAS INVALID # OF ZONES.')
ENDIF
NMACRO=ISTATT(24) ! NGEN
NMCEL=NMACRO
NMERGE=NMACRO
NGEN=NMACRO
ALLOCATE(IGEN(NMERGE),INUM(NMCEL))
DO IK=1,NMERGE
IGEN(IK)=IK
ENDDO
DO IK=1,NMCEL
INUM(IK)=IK
ENDDO
IF(NMACRO.EQ.0) CALL XABORT('MUSP: MUST MODULE TRACKING IS MANDATORY.')
ALLOCATE(NMC_NODE(NMACRO+1),NMC_SURF(NMACRO+1))
JPTRK=LCMGID(IPTRK,'MACRO-TRACK')
CALL LCMGET(IPTRK,'NMC_NODE',NMC_NODE)
CALL LCMGET(IPTRK,'NMC_SURF',NMC_SURF)
NMIX=NMC_SURF(NMACRO+1)
NIFR=NMC_SURF(NMACRO+1)
!----
! LOOP OVER MACRO GEOMETRIES AND COMPUTE PIJ MATRICES USING EXCELP
!----
J1=0
NMIX=0
NPIJ=0
NPIS=0
NPSS=0
DO IMACRO=1,NMACRO
J2=NMC_NODE(IMACRO+1)-NMC_NODE(IMACRO)
J3=NMC_SURF(IMACRO+1)-NMC_SURF(IMACRO)
J1=J1+J2
NMIX=NMIX+J3
NPIJ=NPIJ+J2*J2
NPIS=NPIS+J2*J3
NPSS=NPSS+J3*J3
ENDDO
IF(J1.NE.NREGIO) CALL XABORT('MUSP: INVALID NREGIO.')
IF(NMIX.NE.NMC_SURF(NMACRO+1)) CALL XABORT('MUSP: INVALID NMIX.')
ALLOCATE(PIJW(NPIJ),PISW(NPIS),PSJW(NPIS),PSSW(NPSS))
J1=0
IPIJ=0
IPIS=0
IPSS=0
DO IMACRO=1,NMACRO
J2=NMC_NODE(IMACRO+1)-NMC_NODE(IMACRO)
J3=NMC_SURF(IMACRO+1)-NMC_SURF(IMACRO)
N2PRO=(J2+J3+1)**2
WRITE(TITRE2,'(A,9H -- MACRO,I5.5)') TRIM(TITREC),IMACRO
KPTRK=LCMGIL(JPTRK,IMACRO)
KNORM=4 ! use HELIOS-type normalization
NNPSYS(1)=1
ALLOCATE(MAT2(J2),SIGT2(J2),SIGW2(J2))
ALLOCATE(MATALB(-J3:J2),VOLSUR(-J3:J2,1),DPROB(N2PRO,1),DPROBX(N2PRO,1))
CALL LCMGET(KPTRK,'MATCOD',MAT2)
CALL EXCELP(KPTRK,IFTRAK,IMPX,J3,J2,NBMIX,MAT2,KNORM,SIGT0,1,N2PRO, &
& 1,NNPSYS(1),NBATCH,TITRE2,NALBP,ALBP,MATALB,VOLSUR,DPROB,DPROBX)
!----
! CHECK IF SCATTERING REDUCTION IS REQUIRED
!----
DO I=1,J2
SIGT2(I)=SIGT0(MAT2(I)) ! sigt by node
SIGW2(I)=SIGW0(MAT2(I)) ! sigw by node
ENDDO
LSKIP=.TRUE.
DO I=1,J2
LSKIP=LSKIP.AND.(SIGW2(I).EQ.0.0)
ENDDO
!----
! SCATTERING REDUCTION IF LSKIP=.FALSE.
!----
IF(LSKIP) THEN
! DO NOT PERFORM SCATTERING REDUCTION.
DO I=1,J2
DO J=1,J2
IF(SIGT2(J).EQ.0.0) THEN
PIJW(IPIJ+(J-1)*J2+I)=WPR(I,J)
ELSE
PIJW(IPIJ+(J-1)*J2+I)=WPR(I,J)/SIGT2(J)
ENDIF
ENDDO
ENDDO
DO I=1,J2
DO JC=1,J3
PISW(IPIS+(JC-1)*J2+I)=WPR(I,-JC)
IF(SIGT2(I).EQ.0.0) THEN
PSJW(IPIS+(I-1)*J3+JC)=WPR(-JC,I)
ELSE
PSJW(IPIS+(I-1)*J3+JC)=WPR(-JC,I)/SIGT2(I)
ENDIF
ENDDO
ENDDO
DO IC=1,J3
DO JC=1,J3
PSSW(IPSS+(JC-1)*J3+IC)=WPR(-IC,-JC)
ENDDO
ENDDO
ELSE
! COMPUTE THE SCATTERING-REDUCED COLLISION AND ESCAPE MATRICES.
DO I=1,J2
DO J=1,J2
IF(SIGT2(J).EQ.0.0) THEN
PIJW(IPIJ+(J-1)*J2+I)=0.0
ELSE
PIJW(IPIJ+(J-1)*J2+I)=-WPR(I,J)*SIGW2(J)/SIGT2(J)
ENDIF
ENDDO
PIJW(IPIJ+(I-1)*J2+I)=1.0+PIJW(IPIJ+(I-1)*J2+I)
ENDDO
CALL ALINV(J2,PIJW(IPIJ+1),J2,IER)
IF(IER.NE.0) CALL XABORT('MUSP: SINGULAR MATRIX.')
ALLOCATE(WORK(J2))
DO I=1,J2
DO K=1,J2
WORK(K)=PIJW(IPIJ+(K-1)*J2+I)
ENDDO
DO J=1,J2
WGAR=0.0
DO K=1,J2
IF(SIGT2(J).EQ.0.0) THEN
WGAR=WGAR+WORK(K)*WPR(K,J)
ELSE
WGAR=WGAR+WORK(K)*WPR(K,J)/SIGT2(J)
ENDIF
ENDDO
PIJW(IPIJ+(J-1)*J2+I)=WGAR
ENDDO
DO JC=1,J3
WGAR=0.0
DO K=1,J2
WGAR=WGAR+WORK(K)*WPR(K,-JC)
ENDDO
PISW(IPIS+(JC-1)*J2+I)=WGAR
ENDDO
ENDDO
DEALLOCATE(WORK)
!
! COMPUTE THE SCATTERING-REDUCED COLLISION PROBABILITY MATRIX
! FOR INCOMING NEUTRONS.
DO IC=1,J3
DO J=1,J2
IF(SIGT2(J).EQ.0.0) THEN
WGAR=WPR(-IC,J)
ELSE
WGAR=WPR(-IC,J)/SIGT2(J)
ENDIF
DO K=1,J2
IF(SIGT2(K).NE.0.0) THEN
WGAR=WGAR+WPR(-IC,K)*PIJW(IPIJ+(J-1)*J2+K)*SIGW2(K)/SIGT2(K)
ENDIF
ENDDO
PSJW(IPIS+(J-1)*J3+IC)=WGAR
ENDDO
ENDDO
!
! COMPUTE THE SCATTERING-REDUCED TRANSMISSION PROBABILITY MATRIX.
DO IC=1,J3
DO JC=1,J3
WGAR=WPR(-IC,-JC)
DO K=1,J2
IF(SIGT2(K).NE.0.0) THEN
WGAR=WGAR+WPR(-IC,K)*PISW(IPIS+(JC-1)*J2+K)*SIGW2(K)/SIGT2(K)
ENDIF
ENDDO
PSSW(IPSS+(JC-1)*J3+IC)=WGAR
ENDDO
ENDDO
ENDIF
DEALLOCATE(DPROBX,DPROB,VOLSUR,MATALB)
IF(IMPX.GE.8) THEN
IF(LSKIP) THEN
IN=1
ELSE
IN=2
ENDIF
CALL SYBPRX(IN,J3,J2,IMACRO,SIGT2,SIGW2,PIJW(IPIJ+1),PISW(IPIS+1), &
& PSJW(IPIS+1),PSSW(IPSS+1))
ENDIF
DEALLOCATE(SIGW2,SIGT2,MAT2)
J1=J1+J2
IPIJ=IPIJ+J2*J2
IPIS=IPIS+J2*J3
IPSS=IPSS+J3*J3
ENDDO
! end of SYB004 equivalent
!----
! COMPUTE THE GLOBAL SCATTERING-REDUCED COLLISION PROBABILITY MATRIX
!----
ALLOCATE(IMAC(NREGIO),PP(NREGIO,NREGIO))
CALL LCMGET(IPTRK,'MERGE_MACRO',IMAC)
PP(:NREGIO,:NREGIO)=0.0
IPIJ=0
DO JKG=1,NGEN
J2=NMC_NODE(JKG+1)-NMC_NODE(JKG)
I1=0
DO IKK=1,NMERGE
IKG=IGEN(IKK)
I2=NMC_NODE(IKG+1)-NMC_NODE(IKG)
IF(IKG.EQ.JKG) THEN
DO J=1,J2
DO I=1,J2
PP(IMAC(I1+I),IMAC(I1+J))=PIJW(IPIJ+(J-1)*J2+I)
ENDDO
ENDDO
ENDIF
I1=I1+I2
ENDDO
IPIJ=IPIJ+J2*J2
ENDDO
!----
! COMPUTE PSSB=A*(I-PSS*A)**-1
!----
ALLOCATE(IFR(NIFR),ALB(NIFR),MIX(NMIX),DVX(NMIX))
CALL LCMGET(IPTRK,'IFR',IFR)
CALL LCMGET(IPTRK,'ALB',ALB)
CALL LCMGET(IPTRK,'MIX',MIX)
CALL LCMGET(IPTRK,'DVX',DVX)
IJAT=MAXVAL(MIX)
ALLOCATE(PSSB(IJAT,2*IJAT))
PSSB(:IJAT,:2*IJAT)=0.0
DO I=1,IJAT
PSSB(I,I)=1.0
ENDDO
DO ICEL=1,NMCEL
IKK=INUM(ICEL)
IKG=IGEN(IKK)
J3=NMC_SURF(IKG+1)-NMC_SURF(IKG)
IT=0
DO IK=1,IKK-1
IT=IT+(NMC_SURF(IGEN(IK)+1)-NMC_SURF(IGEN(IK)))
ENDDO
IS=0
DO IK=1,ICEL-1
IS=IS+(NMC_SURF(IGEN(INUM(IK))+1)-NMC_SURF(IGEN(INUM(IK))))
ENDDO
IPSS=0
DO IK=1,IKG-1
IPSS=IPSS+(NMC_SURF(IK+1)-NMC_SURF(IK))**2
ENDDO
DO JC=1,J3
J1=IFR(IS+JC)
J2=MIX(IT+JC)
ALBEDO=ALB(IS+JC)
PSSB(J1,IJAT+J2)=PSSB(J1,IJAT+J2)+ALBEDO*DVX(IT+JC)
DO IC=1,J3
J2=MIX(IT+IC)
PSSB(J1,J2)=PSSB(J1,J2)-PSSW(IPSS+(JC-1)*J3+IC)*ALBEDO*DVX(IT+IC)
ENDDO
ENDDO
ENDDO
CALL ALSB(IJAT,IJAT,PSSB,IER,IJAT)
IF(IER.NE.0) CALL XABORT('MUSP: SINGULAR MATRIX.')
!----
! COMPUTATION OF PISW*PSSB*PSJW
!----
I1=0
DO IKK=1,NMERGE
IKG=IGEN(IKK)
I2=NMC_NODE(IKG+1)-NMC_NODE(IKG)
I3=NMC_SURF(IKG+1)-NMC_SURF(IKG)
IT=0
DO IK=1,IKK-1
IT=IT+(NMC_SURF(IGEN(IK)+1)-NMC_SURF(IGEN(IK)))
ENDDO
IPIS=0
DO IK=1,IKG-1
IPIS=IPIS+(NMC_NODE(IK+1)-NMC_NODE(IK))*(NMC_SURF(IK+1)-NMC_SURF(IK))
ENDDO
DO I=1,I2
DO IC=1,I3
ICC=MIX(IT+IC)
ZZZ=PISW(IPIS+(IC-1)*I2+I)*SIGN(1.0,DVX(IT+IC))
J1=0
DO JKK=1,NMERGE
JKG=IGEN(JKK)
J2=NMC_NODE(JKG+1)-NMC_NODE(JKG)
J3=NMC_SURF(JKG+1)-NMC_SURF(JKG)
JT=0
DO IK=1,JKK-1
JT=JT+(NMC_SURF(IGEN(IK)+1)-NMC_SURF(IGEN(IK)))
ENDDO
IPSJ=0
DO IK=1,JKG-1
IPSJ=IPSJ+(NMC_NODE(IK+1)-NMC_NODE(IK))*(NMC_SURF(IK+1)-NMC_SURF(IK))
ENDDO
DO J=1,J2
DO JC=1,J3
JCC=MIX(JT+JC)
PBJ=PSJW(IPSJ+(J-1)*J3+JC)
PP(IMAC(I1+I),IMAC(J1+J))=PP(IMAC(I1+I),IMAC(J1+J))+ZZZ*DVX(JT+JC)* &
& PSSB(JCC,IJAT+ICC)*PBJ
ENDDO
ENDDO
J1=J1+J2
ENDDO
ENDDO
ENDDO
I1=I1+I2
ENDDO
! end of SYBRX3 equivalent
DEALLOCATE(PSSB,DVX,MIX,ALB,IFR)
DEALLOCATE(PSSW,PSJW,PISW,PIJW)
DEALLOCATE(NMC_SURF,NMC_NODE)
DEALLOCATE(INUM,IGEN)
!
IF(IMPX.GE.7) THEN
WRITE (6,170) (J,J=1,NREGIO)
DO I=1,NREGIO
WRITE (6,180) I,(PP(I,J),J=1,NREGIO)
ENDDO
WRITE (6,'(//)')
ENDIF
IF((IMPX.GE.10).OR.(IMPX.LT.0)) THEN
! CHECK THE RECIPROCITY CONDITIONS.
VOLTOT=0.0
DO I=1,NREGIO
VOLTOT=VOLTOT+VOL(I)
ENDDO
VOLTOT=VOLTOT/REAL(NREGIO)
WRK=0.0
DO I=1,NREGIO
DO J=1,NREGIO
AAA=PP(I,J)*VOL(I)
BBB=PP(J,I)*VOL(J)
WRK=MAX(WRK,ABS(AAA-BBB)/VOLTOT)
ENDDO
ENDDO
IF(WRK.GE.EPS1) WRITE (6,150) WRK
IF(WRK.GE.EPS1) CALL XABORT('MUSP: non symmetric matrices.')
! CHECK THE CONSERVATION CONDITIONS.
IF(.NOT.ILK) THEN
WRK=0.0
DO I=1,NREGIO
F1=1.0
DO J=1,NREGIO
AAA=PP(I,J)
F1=F1-AAA*(SIGT0(MAT(J))-SIGW0(MAT(J)))
ENDDO
WRK=AMAX1(WRK,ABS(F1))
ENDDO
IF(WRK.GE.EPS1) WRITE (6,160) WRK
IF(WRK.GE.EPS1) CALL XABORT('MUSP: non conservative matrices.')
ENDIF
ENDIF
!
IC=0
DO IKK=1,NREGIO
IOF=(IKK-1)*NREGIO
DO JKK=1,IKK
IC=IC+1
PIJ(IC)=PP(JKK,IKK)*VOL(JKK)
ENDDO
ENDDO
DEALLOCATE(IMAC,PP)
RETURN
!
150 FORMAT (/56H MUSP: THE SCATTERING-REDUCED PIJ DO NOT MEET THE RECIPR, &
& 25HOCITY CONDITIONS. RECIP =,1P,E10.3/)
160 FORMAT (/56H MUSP: THE SCATTERING-REDUCED PIJ DO NOT MEET THE CONSER, &
& 25HVATION CONDITIONS. LEAK =,1P,E10.3/)
170 FORMAT (//47H MUSP: SCATTERING-REDUCED COLLISION PROBABILITY, &
& 9H MATRIX ://(11X,2HJ=,I4,:,5X,2HJ=,I4,:,5X,2HJ=,I4,:,5X,2HJ=, &
& I4,:,5X,2HJ=,I4,:,5X,2HJ=,I4,:,5X,2HJ=,I4,:,5X,2HJ=,I4,:,5X,2HJ=, &
& I4,:,5X,2HJ=,I4,:,5X,2HJ=,I4))
180 FORMAT (3H I=,I4,2H: ,1P,11E11.3/(9X,11E11.3))
END SUBROUTINE MUSP
|
