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*DECK PIJWIJ
SUBROUTINE PIJWIJ( IPTRK, IPRT, NSOUT, NREG, NBMIX, NANI,
> MATCOD, VOLUME, XSSIGT, XSSIGW, NELPIJ, IPIJK,
> LEAKSW, N2PRO, NSBG, NPSYS, NPST, NALBP,
> ALBP, MATALB, VOLSUR, DPROB, DPROBX, PIJ,
> PROBKS )
*
*-----------------------------------------------------------------------
*
*Purpose:
* Calculation of the scattering-reduced collision probabilities for
* EXCELL. All surfaces will disappear from the system using external
* boundary conditions.
*
*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. Roy
*
*Parameters: input
* IPTRK pointer to the tracking (L_TRACK signature).
* IPRT print flag (equal to zero for no print).
* NSOUT number of surfaces.
* NREG total number of merged blocks for which specific values
* of the neutron flux and reactions rates are required.
* NBMIX number of mixtures (NBMIX=max(MATCOD(i))).
* NANI number of Legendre orders.
* MATCOD index number of the mixture type assigned to each volume.
* VOLUME volumes.
* XSSIGT total macroscopic cross sections ordered by mixture.
* XSSIGW P0 within-group scattering macroscopic cross sections
* ordered by mixture.
* NELPIJ number of elements in symmetrized pij matrix.
* IPIJK pij option (=1 pij, =4 pijk).
* LEAKSW leakage flag (=.true. if neutron leakage through external
* boundary is present).
* N2PRO number of terms in collision probability matrices, including
* surface and volume contributions.
* NSBG number of energy groups.
* NPSYS non-converged energy group indices.
* NPST first dimension of matrix PROBKS.
* NALBP number of multigroup physical albedos.
* ALBP multigroup physical albedos.
* MATALB global mixture/albedo identification vector.
* VOLSUR global surface volume vector.
* DPROB collision probabilities from EXCELP.
* DPROBX directional collision probabilities from EXCELP.
*
*Parameters: output
* PIJ reduced and symmetrized collision probabilities.
* PROBKS directional collision probabilities.
*
*-----------------------------------------------------------------------
*--------+---------------- R O U T I N E S -------------+--+-----------*
* NAME / DESCRIPTION *
*--------+-------------------------------------------------------------*
* Boundary conditions
* PIJABC / TO ELIMINATE SURFACES USING B.C. OF THE SYSTEM
* PIJAAA / TO ELIMINATE SURFACES FOR PIJKS USING B.C. OF THE SYSTEM
* Various functions
* PIJWPR / TO PRINT CP MATRICES IN SUM FORMAT
* PIJSMD / TO EVALUATE SCATTERING-MODIFIED CP MATRIX
* PIJCMP / COMPRESS CP MATRIX TO SYMETRIC FORMAT
* PIJD2S / CHARGE PROBKS MATRICES IN THE DRAGON SQUARE FORMAT
* PIJD2R / CHARGE PIJ MATRICES IN THE DRAGON SYMMETRIZED FORMAT
* PIJKST / COMPUTE PIJK* MATRICES
*--------+-------------------------------------------------------------*
*
USE GANLIB
IMPLICIT NONE
*----
* SUBROUTINE ARGUMENTS
*----
LOGICAL LEAKSW
TYPE(C_PTR) IPTRK
INTEGER IPRT, NSOUT, NREG, NBMIX, NANI, MATCOD(NREG),
> NELPIJ, IPIJK, N2PRO, NSBG, NPSYS(NSBG), NPST,
> NALBP, MATALB(-NSOUT:NREG)
REAL VOLUME(NREG), XSSIGT(0:NBMIX,NSBG),
> XSSIGW(0:NBMIX,NANI,NSBG),ALBP(NALBP,NSBG),
> VOLSUR(-NSOUT:NREG,NSBG),PIJ(NELPIJ,IPIJK,NSBG),
> PROBKS(NPST,NSBG)
DOUBLE PRECISION DPROB(N2PRO,NSBG),DPROBX(N2PRO,NSBG)
*----
* LOCAL VARIABLES
*----
INTEGER IOUT, ICPALL, ICPEND, MXGAUS, NSTATE, MAXCDA
PARAMETER ( IOUT=6, ICPALL=4, ICPEND=3, MXGAUS=64,
> NSTATE=40, MAXCDA=30 )
CHARACTER NAMSBR*6
PARAMETER ( NAMSBR='PIJWIJ')
INTEGER ILONG,ITYPE,NPROB,ISBG,ISTATE(NSTATE),
> ICODE(MAXCDA)
REAL FACT,ALBEDO(MAXCDA),ALBG(MAXCDA)
LOGICAL LSKIP,SWNZBC,SWVOID
*
INTEGER MSYM,IU,IL,ISOUT,IIN,I,J,IBM,IOP,INDPIJ,IJKS,
> IUN,KSPEC,LOPT,NNREG,IVV,JUN,ISA
*----
* Variables for NXT: inline tracking
*----
INTEGER ILCMUP,ILCMDN
PARAMETER (ILCMUP=1,ILCMDN=2)
DOUBLE PRECISION DZERO,DONE,DTWO
PARAMETER (DZERO=0.0D0,DONE=1.0D0,DTWO=2.0D0)
*----
* Allocatable arrays
*----
INTEGER, ALLOCATABLE, DIMENSION(:) :: MATRT
REAL, ALLOCATABLE, DIMENSION(:) :: FFACT
REAL, ALLOCATABLE, DIMENSION(:,:) :: SIGTAL
DOUBLE PRECISION, ALLOCATABLE, DIMENSION(:) :: PSST,PSVT
DOUBLE PRECISION, ALLOCATABLE, DIMENSION(:,:) :: PCSCT
*----
* INTRINSIC FUNCTION FOR POSITION IN CONDENSE PIJ MATRIX
*----
INTEGER INDPOS
INDPOS(I,J)=MAX(I,J)*(MAX(I,J)-1)/2+MIN(I,J)
*----
* RECOVER TRACKING INFORMATION
*----
ISTATE(:NSTATE)=0
CALL LCMGET(IPTRK,'STATE-VECTOR',ISTATE)
KSPEC=ISTATE(10)
CALL LCMLEN(IPTRK,'ICODE',ILONG,ITYPE)
IF(ILONG.GT.MAXCDA) CALL XABORT('PIJWIJ: MAXCDA OVERFLOW(1).')
ICODE(:MAXCDA)=0
CALL LCMGET(IPTRK,'ICODE',ICODE)
CALL LCMGET(IPTRK,'ALBEDO',ALBG)
*----
* PREPARE FOR MULTIGROUP CALCULATION
*----
ALLOCATE(SIGTAL(-NSOUT:NREG,NSBG))
SWNZBC= .FALSE.
SWVOID= .FALSE.
DO ISBG=1,NSBG
IF(NPSYS(ISBG).NE.0) THEN
ALBEDO(:MAXCDA)=ALBG(:MAXCDA)
IF(NALBP .GT. 0) THEN
DO ISA=1,MAXCDA
IF(ICODE(ISA).GT.0) ALBEDO(ISA)=ALBP(ICODE(ISA),ISBG)
ENDDO
ENDIF
DO IUN= -NSOUT, -1
SIGTAL(IUN,ISBG)= ALBEDO(-MATALB(IUN))
SWNZBC= SWNZBC.OR.(SIGTAL(IUN,ISBG).NE.0.0)
ENDDO
IUN=0
SIGTAL(IUN,ISBG)= 0.0
DO IUN= 1, NREG
SIGTAL(IUN,ISBG)= XSSIGT(MATCOD(IUN),ISBG)
IF( SIGTAL(IUN,ISBG) .EQ. 0.0 ) SWVOID= .TRUE.
ENDDO
ENDIF
ENDDO
*----
* DOUBLE PRECISION TO REAL FOR DIRECTIONAL PIJ MATRICES
*----
IF(IPIJK.EQ.4) THEN
DO 2070 ISBG=1,NSBG
IF(NPSYS(ISBG).EQ.0) GO TO 2070
CALL PIJD2S(NREG,NSOUT,DPROBX(1,ISBG),PROBKS(1,ISBG))
2070 CONTINUE
ENDIF
IF( KSPEC.EQ.0 )THEN
*----
* ELIMINATION OF SURFACES FOR PIJ
*----
IF( SWNZBC )THEN
ALLOCATE(PSST(NSOUT*NSOUT),PSVT(NSOUT*NREG),MATRT(NSOUT))
CALL LCMLEN(IPTRK,'BC-REFL+TRAN',ILONG,ITYPE)
IF(ILONG.EQ.NSOUT) THEN
CALL LCMGET(IPTRK,'BC-REFL+TRAN',MATRT)
ELSE
WRITE(IOUT,9000) NAMSBR
DO 130 ISOUT=1,NSOUT
MATRT(ISOUT)=ISOUT
130 CONTINUE
ENDIF
DO 2080 ISBG=1,NSBG
IF(NPSYS(ISBG).EQ.0) GO TO 2080
CALL PIJABC(NREG,NSOUT,NPROB,SIGTAL(-NSOUT,ISBG),MATRT,
> DPROB(1,ISBG),PSST,PSVT)
*----
* ELIMINATION OF SURFACES FOR PIJX AND CREATION OF PIJXX
*----
IF(IPIJK.EQ.4) THEN
CALL PIJAAA(NREG,NSOUT,SIGTAL(-NSOUT,ISBG),
> DPROBX(1,ISBG),PSVT,PROBKS(1,ISBG))
CALL PIJABC(NREG,NSOUT,NPROB,SIGTAL(-NSOUT,ISBG),MATRT,
> DPROBX(1,ISBG),PSST,PSVT)
ENDIF
2080 CONTINUE
*
DEALLOCATE(MATRT,PSVT,PSST)
ENDIF
ENDIF
*
ALLOCATE(FFACT(NREG))
DO 2090 ISBG=1,NSBG
IF(NPSYS(ISBG).EQ.0) GO TO 2090
IF( IPRT.GE.ICPEND )THEN
LOPT= +1
MSYM=1
WRITE(IOUT,'(1H )')
WRITE(IOUT,'(35H COLLISION PROBABILITIES OUTPUT: ,
> 35H *AFTER* ALBEDO REDUCTION )')
CALL PIJWPR(LOPT,NREG,NSOUT,SIGTAL(-NSOUT,ISBG),
> DPROB(1,ISBG),VOLSUR(1,ISBG),MSYM)
*
IF(IPIJK.EQ.4) THEN
WRITE(IOUT,'(35H X-DIRECT. COLL. PROBAB. OUTPUT: ,
> 35H *AFTER* ALBEDO REDUCTION )')
CALL PIJWPR(LOPT,NREG,NSOUT,SIGTAL(-NSOUT,ISBG),
> DPROBX(1,ISBG),VOLSUR(1,ISBG),MSYM)
WRITE(IOUT,'(35H0 X-DIRECT. COLL. PROBAB." OUTPUT: ,
> 35H PIJX"=PIJX+PISX*(1/(1-PSS))*PSJ )')
MSYM=0
CALL PIJWPR(LOPT,NREG,NSOUT,SIGTAL(-NSOUT,ISBG),
> DPROBX(1,ISBG),VOLSUR(1,ISBG),MSYM)
ENDIF
*
ENDIF
*----
* CHARGE PIJ MATRIX IN THE DRAGON SYMMETRIZED FORMAT
*----
DO 160 IIN=1,NREG
IF(SIGTAL(IIN,ISBG).EQ.0.0) THEN
FFACT(IIN)=1.0
ELSE
FFACT(IIN)=1.0/SIGTAL(IIN,ISBG)
ENDIF
160 CONTINUE
CALL PIJD2R(NREG,NSOUT,DPROB(1,ISBG),FFACT,.FALSE.,NELPIJ,
> N2PRO,PIJ(1,1,ISBG))
*----
* CHARGE PIJX AND PIJY MATRICES IN THE DRAGON SYMMETRIZED FORMAT
* ( PIJX=PIJY ), AND PIJZ CALCULATION ( PIJZ=3*PIJ-PIJX-PIJY )
* AND THE SAME FOR FULL MATRICES OF PIJX", PIJY" AND PIJZ"
*----
IF(IPIJK.EQ.4) THEN
NNREG=NREG*NREG
CALL PIJD2R(NREG,NSOUT,DPROBX(1,ISBG),FFACT,.TRUE.,NELPIJ,
> N2PRO,PIJ(1,2,ISBG))
IVV=0
DO 181 IUN=1,NREG
IU=IUN
IL=(IUN-1)*NREG+1
DO 191 JUN=1,IUN
IVV=IVV+1
PROBKS(IL,ISBG)=1.5*PROBKS(IL,ISBG)*FFACT(IUN)*FFACT(JUN)
IF(IL.NE.IU)PROBKS(IU,ISBG)=1.5*PROBKS(IU,ISBG)*
> FFACT(IUN)*FFACT(JUN)
PIJ(IVV,3,ISBG)=PIJ(IVV,2,ISBG)
PROBKS(NNREG+IL,ISBG)=PROBKS(IL,ISBG)
PROBKS(NNREG+IU,ISBG)=PROBKS(IU,ISBG)
PIJ(IVV,4,ISBG)=3*PIJ(IVV,1,ISBG)-PIJ(IVV,2,ISBG)
> -PIJ(IVV,3,ISBG)
PROBKS(2*NNREG+IL,ISBG)=3*PIJ(IVV,1,ISBG)
> -PROBKS(IL,ISBG)-PROBKS(NNREG+IL,ISBG)
PROBKS(2*NNREG+IU,ISBG)=3*PIJ(IVV,1,ISBG)
> -PROBKS(IU,ISBG)-PROBKS(NNREG+IU,ISBG)
IU=IUN+JUN*NREG
IL=IL+1
191 CONTINUE
181 CONTINUE
*----
* COMPUTE PIJ**(-1)*PIJK*
*----
CALL PIJKST(IPRT,NREG,PIJ(1,1,ISBG),PROBKS(1,ISBG))
ENDIF
2090 CONTINUE
DEALLOCATE(FFACT)
*
DEALLOCATE(SIGTAL)
*----
* CHECK IF SCATTERING REDUCTION IS REQUIRED
*----
ALLOCATE(PCSCT(NREG,2*NREG))
DO 3000 ISBG=1,NSBG
IF(NPSYS(ISBG).EQ.0) GO TO 3000
LSKIP=.TRUE.
DO 200 IBM=1,NBMIX
LSKIP=LSKIP.AND.(XSSIGW(IBM,1,ISBG).EQ.0.0)
200 CONTINUE
*----
* COMPUTE THE SCATTERING-REDUCED CP MATRICES
*----
IOP=1
IF(.NOT.LSKIP) THEN
CALL PIJSMD(IPRT,NBMIX,NREG,MATCOD,VOLUME,XSSIGW(0,1,ISBG),
> XSSIGT(0,ISBG),LEAKSW,PIJ(1,1,ISBG),PCSCT,IOP)
DO 220 I=1,NREG
FACT=VOLUME(I)
DO 210 J=1,NREG
INDPIJ=INDPOS(I,J)
PIJ(INDPIJ,1,ISBG)=REAL(PCSCT(I,J))*FACT
210 CONTINUE
220 CONTINUE
ENDIF
*-------
IF(IPIJK.EQ.4) THEN
IOP=4
IF(.NOT.LSKIP) THEN
* P1 SCATTERING REDUCTION OF THE DIRECTIONNAL CP MATRICES.
IF(NANI.LT.2) CALL XABORT('PIJWIJ: ANISOTROPIC SCAT MISSING.')
DO 250 IJKS=1,3
CALL PIJSMD(IPRT,NBMIX,NREG,MATCOD,VOLUME,XSSIGW(0,2,ISBG),
> XSSIGT(0,ISBG),LEAKSW,PIJ(1,IJKS+1,ISBG),PCSCT,
> IOP)
DO 240 I=1,NREG
FACT=VOLUME(I)
DO 230 J=1,NREG
INDPIJ=INDPOS(I,J)
PIJ(INDPIJ,IJKS+1,ISBG)=REAL(PCSCT(I,J))*FACT
230 CONTINUE
240 CONTINUE
250 CONTINUE
ENDIF
ENDIF
3000 CONTINUE
DEALLOCATE(PCSCT)
RETURN
*
9000 FORMAT(1X,A6,': *** WARNING *** '/
> ' REFLECTION/TRANSMISSION MATRIX MISSING'/
> ' USE IDENTITY REFLECTION MATRIX')
END
|