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*DECK MCGDSCB
SUBROUTINE MCGDSCB(M,NSEG,NSUB,LPS,IS,JS,H,KANGL,NOM,NZON,TR,W,
1 NFI,NREG,PJJ,PSJ,IMU,NMU,NFUNL,NANGL,NPJJM,
2 TRHAR,LPJJAN,PJJIND,OMEGA2,PJJX,PJJY,PJJZ,
3 PJJXI,PJJYI,PJJZI,PSJX,PSJY,PSJZ)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Calculation of contribution in PJJ and PSJ coefficients on one track,
* as well as directional values for TIBERE.
* Step-Characteristics scheme with tabulated exponential calls.
*
*Copyright:
* Copyright (C) 2019 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): S. Musongela
*
*Parameters: input
* LPS dimension of PSJX, PSJY and PSJZ.
* M number of material mixtures.
* NSEG number of elements for this track.
* NSUB number of subtracks for this track.
* IS arrays for surfaces neighbors.
* JS JS(IS(ISOUT)+1:IS(ISOUT+1)) give the neighboring regions to
* surface ISOUT.
* H real tracking elements.
* KANGL track direction indices.
* NOM integer tracking elements.
* NZON index-number of the mixture type assigned to each volume.
* TR macroscopic total cross section.
* W weight associated with this track.
* NFI total number of volumes and surfaces for which specific values
* of the neutron flux and reactions rates are required.
* NREG number of volumes for which specific values
* of the neutron flux and reactions rates are required.
* IMU polar angle index.
* NMU order of the polar quadrature set.
* NFUNL number of moments of the flux (in 2D : NFUNL=NANI*(NANI+1)/2).
* NANGL number of tracking angles in the plane.
* NPJJM number of pjj modes to store for LPJJAN option.
* TRHAR spherical harmonics components for each azimuthal angle in
* the plane.
* LPJJAN flag for the calculation of anisotropic moments of the pjj.
* PJJIND index of the modes for LPJJAN option.
* OMEGA2 square x, y and z-component of the direction Omega for 2D
* geometry.
*
*Parameters: input/output
* PJJ collision probabilities.
* PJJX collision probabilities for TIBERE.
* PJJY collision probabilities for TIBERE.
* PJJZ collision probabilities for TIBERE.
* PJJXI collision probabilities for TIBERE.
* PJJYI collision probabilities for TIBERE.
* PJJZI collision probabilities for TIBERE.
* PSJ escape probabilities.
* PSJX escape probabilities for TIBERE.
* PSJY escape probabilities for TIBERE.
* PSJZ escape probabilities for TIBERE.
*
*-----------------------------------------------------------------------
*
IMPLICIT NONE
*---
* SUBROUTINE ARGUMENTS
*---
INTEGER M,NSEG,NSUB,NFI,NREG,LPS,IS(NFI-NREG+1),JS(LPS),NZON(NFI),
1 KANGL(NSUB),NOM(NSEG),IMU,NMU,NFUNL,NANGL,NPJJM,PJJIND(NPJJM,2)
REAL TR(0:M),PSJ(LPS),TRHAR(NMU,NFUNL,NANGL)
REAL PSJX(LPS),PSJY(LPS),PSJZ(LPS)
DOUBLE PRECISION W,H(NSUB),PJJ(NREG,NPJJM),OMEGA2(3)
DOUBLE PRECISION PJJX(NREG,NPJJM),PJJY(NREG,NPJJM),
1 PJJZ(NREG,NPJJM),PJJXI(NREG,NPJJM),PJJYI(NREG,NPJJM),
2 PJJZI(NREG,NPJJM)
LOGICAL LPJJAN
*---
* LOCAL VARIABLES
*---
DOUBLE PRECISION TAUDMIN
PARAMETER(TAUDMIN=2.D-2)
INTEGER I,J,NOMI,IC,IC0,NZI,NOMJ,IMOD,INU,INUP,IANG,ISUB
DOUBLE PRECISION TRI,TRJ,TAU,EXPT,HJD,HID,TAUD,TAUD3,TAUD4,TAUD5,
1 EXPTD,TEMPD
LOGICAL LNEW
* tabulated exponential common block
REAL E0, E1, PAS1, DX1, XLIM1
INTEGER MEX1, LAU
PARAMETER ( MEX1=7936 )
COMMON /EXP1/ E0(0:MEX1),E1(0:MEX1),PAS1,DX1,XLIM1
*
ISUB=0
LNEW=.TRUE.
IANG=KANGL(1)
DO I=1,NSEG
NOMI=NOM(I)
NZI=NZON(NOMI)
IF(NZI.LT.0) THEN
* Boundary Condition
LNEW=.TRUE.
IF(LPS.GT.0) THEN
* SCR for a non-cyclic tracking
IF(I.EQ.1) THEN
J=I+1
ELSE !! I.EQ.NSEG
J=I-1
ENDIF
NOMJ=NOM(J)
IC=0
DO IC0=IS(NOMI-NREG)+1,IS(NOMI-NREG+1)
IC=IC0
IF(JS(IC0).EQ.NOMJ) GOTO 10
ENDDO
CALL XABORT('MCGDSCB: UNABLE TO SET IC.')
10 HJD=H(J)
TRJ=TR(NZON(NOMJ))
TAU=HJD*TRJ
IF(TAU.GE.XLIM1) THEN
EXPT=1.0D0/TRJ
ELSE
LAU=INT(TAU*PAS1)
EXPT=HJD*(E0(LAU)+E1(LAU)*TAU)
ENDIF
PSJ(IC)=PSJ(IC)+REAL(W*EXPT)
PSJX(IC)=PSJX(IC)+REAL(W*EXPT*3.0*OMEGA2(1))
PSJY(IC)=PSJY(IC)+REAL(W*EXPT*3.0*OMEGA2(2))
PSJZ(IC)=PSJZ(IC)+REAL(W*EXPT*3.0*OMEGA2(3))
ENDIF
ELSE
* this cell is a volume
IF(LNEW) THEN
ISUB=ISUB+1
IF(ISUB.GT.NSUB) CALL XABORT('MCGDSCB: NSUB OVERFLOW.')
LNEW=.FALSE.
IANG=KANGL(ISUB)
IF(IANG.GT.NANGL) CALL XABORT('MCGDSCB: NANGL OVERFLOW.')
ENDIF
TRI=TR(NZI)
HID=H(I)
TAUD=HID*TRI
TAU=REAL(TAUD)
IF(TAUD.LE.TAUDMIN) THEN
* expansion in Taylor serie in O(TAUD^3)
TAUD3=TAUD/3.D0
TAUD4=0.125D0*TAUD
TAUD5=0.2D0*TAUD
EXPTD=HID*(0.5D0-TAUD3*(0.5D0-TAUD4*(1.D0-TAUD5)))
ELSE
IF(TAU.GE.XLIM1) THEN
* Out of the table range
EXPTD=(1.D0-1.D0/TAUD)/DBLE(TRI)
ELSE
* Linear interpolation in table of (1-exp(-x))/x
LAU=INT(TAU*PAS1)
EXPTD=(1.D0-DBLE(E0(LAU)+E1(LAU)*TAU))/DBLE(TRI)
ENDIF
ENDIF
EXPTD=EXPTD*W*HID
IF(LPJJAN) THEN
DO IMOD=1,NPJJM
INU=PJJIND(IMOD,1)
INUP=PJJIND(IMOD,2)
TEMPD=DBLE(TRHAR(IMU,INU,IANG))*
1 DBLE(TRHAR(IMU,INUP,IANG))
PJJ(NOMI,IMOD)=PJJ(NOMI,IMOD)+EXPTD*TEMPD
ENDDO
ELSE
PJJ(NOMI,1)=PJJ(NOMI,1)+EXPTD
PJJX(NOMI,1)=PJJX(NOMI,1)+EXPTD*3.0*OMEGA2(1)
PJJY(NOMI,1)=PJJY(NOMI,1)+EXPTD*3.0*OMEGA2(2)
PJJZ(NOMI,1)=PJJZ(NOMI,1)+EXPTD*3.0*OMEGA2(3)
PJJXI(NOMI,1)=PJJXI(NOMI,1)+EXPTD*9.0*
1 OMEGA2(1)*OMEGA2(1)
PJJYI(NOMI,1)=PJJYI(NOMI,1)+EXPTD*9.0*
1 OMEGA2(2)*OMEGA2(2)
PJJZI(NOMI,1)=PJJZI(NOMI,1)+EXPTD*9.0*
1 OMEGA2(3)*OMEGA2(3)
ENDIF
ENDIF
ENDDO
*
RETURN
END
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