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*DECK MOCFFAL
SUBROUTINE MOCFFAL(SUBSCH,NR,NS,MT,LINE,SEGLEN,NRSEG,NE,NFX,
1 MATALB,DWEIG,SIGANG,YG,FLM,FLP,DFLM,DFLP,NPHI,NSUB,KANGL,TRHAR,
2 PHIV,DPHIV,DSIG,EXPT,EXP2,CYM1,CYP1,CYM2,CYP2)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Solution of transport equation on a cyclic track.
* Linear-discontinuous-characteristics approximation.
* Ray-tracing (anisotropic scattering case, 'source term isolation'
* off).
*
*Copyright:
* Copyright (C) 2015 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
* SUBSCH track coefficients calculation subroutine.
* NR number of volumes.
* NS number of surfaces.
* MT number of material mixtures.
* LINE number of segments on this tracking line.
* SEGLEN vector containing the lenght of the different segments of this
* track.
* NRSEG vector containing the region number of the different segments
* of this track.
* NE order of the polar quadrature set.
* NFX number of moments of the spherical harmonics.
* MATALB index-number of the mixture assigned to each volume
* and the albedo to each surface.
* DWEIG track weight per polar angle.
* SIGANG total cross-sections and albedos.
* YG inverse of polar quadrature cosines.
* FLM total source vector for + direction.
* FLP total source vector for - direction.
* DFLM linear component of the total source vector for + direction.
* DFLP linear component of the total source vector for - direction.
* NPHI number of angles in the plane.
* NSUB number of subtracks.
* KANGL angle indices per subtrack.
* TRHAR spherical harmonics components for this angle in the plan.
*
*Parameters: output
* PHIV vector containing the zonal scalar flux (component 1).
* DPHIV vector containing the zonal scalar flux (components 2 and 3).
*
*Parameters: scratch
* DSIG undefined.
* EXPT track coefficient.
* EXP2 quadratic expansion of (1-exp(-a*L))/L with small argument.
* CYM1 undefined.
* CYP1 undefined.
* CYM2 undefined.
* CYP2 undefined.
*
*-----------------------------------------------------------------------
*
IMPLICIT NONE
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER NR,NS,MT,LINE,NRSEG(LINE),NE,NFX,MATALB(-NS:NR),NPHI,
1 NSUB,KANGL(NSUB)
REAL SIGANG(-6:MT),YG(NE),TRHAR(NE,NFX,NPHI,2)
DOUBLE PRECISION SEGLEN(LINE),DWEIG(NE),FLM(NE,LINE),FLP(NE,LINE),
1 DFLM(NE,LINE),DFLP(NE,LINE),PHIV(NFX,NR),DPHIV(2*NFX,NR),
2 DSIG(LINE),EXPT(NE,LINE),EXP2(5,NE,LINE),CYM1(NE,LINE),
3 CYP1(NE,LINE),CYM2(NE,LINE),CYP2(NE,LINE)
EXTERNAL SUBSCH
*----
* LOCAL VARIABLES
*----
INTEGER MXE
PARAMETER (MXE=64)
DOUBLE PRECISION ONE,ZERO
PARAMETER (ONE=1.D0,ZERO=0.D0)
INTEGER IE,NOIL,IL,JL,JF,ISUB,IANG
REAL ETA,XI
DOUBLE PRECISION TEMP1,TEMP2,TEMP3,FL0(MXE),CY0(MXE),FL1(MXE),
1 CY1(MXE),DH
LOGICAL LNEW
*
FL0(:NE)= ZERO
FL1(:NE)= ZERO
CY0(:NE)= ONE
CY1(:NE)= ONE
*----
* Calculation of the coefficients for this track.
*----
* MOCSCAL: Linear discontinuous-Characteristics Scheme with
* Tabulated Exponentials
* MOCDDFL: Diamond-Differencing DD1 Scheme
* MOCSCEL: Linear discontinuous-Characteristics Scheme with
* Exact Exponentials
CALL SUBSCH(LINE,NR,NS,MT,NRSEG,MATALB,SEGLEN,SIGANG(-6),DSIG,
1 EXPT,EXP2,NE,YG)
*----
* Summation along the track in both directions
*----
DO 2226 IL= 1, LINE
JL= LINE + 1 - IL
DO 2225 IE=1,NE
* + direction
NOIL = NRSEG(IL)
TEMP1 = FL1(IE)
TEMP2 = FLP(IE,IL)
TEMP3 = DFLP(IE,IL)
DH = SEGLEN(IL)*YG(IE)
FL1(IE) = TEMP1*EXPT(IE,IL) + TEMP2*EXP2(1,IE,IL)
1 - TEMP3*EXP2(3,IE,IL)*DSIG(IL)
FLP(IE,IL) = TEMP1*EXP2(1,IE,IL) + TEMP2*EXP2(2,IE,IL)
1 + TEMP3*EXP2(3,IE,IL)
DFLP(IE,IL)= TEMP1*EXP2(4,IE,IL)-TEMP2*EXP2(3,IE,IL)/(DH*DH)
1 + TEMP3*EXP2(5,IE,IL)*DSIG(IL)
CYP1(IE,IL)= CY1(IE) * EXP2(1,IE,IL)
CYP2(IE,IL)= CY1(IE) * EXP2(4,IE,IL)
CY1(IE) = CY1(IE) * EXPT(IE,IL)
*
* - direction
TEMP1 = FL0(IE)
TEMP2 = FLM(IE,JL)
TEMP3 = DFLM(IE,JL)
DH = SEGLEN(JL)*YG(IE)
FL0(IE) = TEMP1*EXPT(IE,JL) + TEMP2*EXP2(1,IE,JL)
1 - TEMP3*EXP2(3,IE,JL)*DSIG(JL)
FLM(IE,JL) = TEMP1*EXP2(1,IE,JL) + TEMP2*EXP2(2,IE,JL)
1 + TEMP3*EXP2(3,IE,JL)
DFLM(IE,JL)= TEMP1*EXP2(4,IE,JL)-TEMP2*EXP2(3,IE,JL)/(DH*DH)
1 + TEMP3*EXP2(5,IE,JL)*DSIG(JL)
CYM1(IE,JL)= CY0(IE) * EXP2(1,IE,JL)
CYM2(IE,JL)= CY0(IE) * EXP2(4,IE,JL)
CY0(IE) = CY0(IE) * EXPT(IE,JL)
2225 CONTINUE
2226 CONTINUE
DO 2230 IE=1,NE
TEMP1=ONE-CY0(IE)
IF (TEMP1.GT.ZERO) THEN
FL0(IE)= FL0(IE)/TEMP1
ELSE
FL0(IE)= ZERO
ENDIF
TEMP1=ONE-CY1(IE)
IF (TEMP1.GT.ZERO) THEN
FL1(IE)= FL1(IE)/TEMP1
ELSE
FL1(IE)= ZERO
ENDIF
2230 CONTINUE
ISUB=0
IANG=0
LNEW=.TRUE.
DO 2240 IL= 1, LINE
NOIL = NRSEG(IL)
IF(NOIL.LE.0) THEN
LNEW=.TRUE.
ELSE
IF(LNEW) THEN
ISUB=ISUB+1
IANG=KANGL(ISUB)
LNEW=.FALSE.
ENDIF
DO 2242 IE=1,NE
ETA=TRHAR(IE,3,IANG,1)
XI=TRHAR(IE,2,IANG,1)
DO 2241 JF=1,NFX
TEMP1=TRHAR(IE,JF,IANG,1)
TEMP2=TRHAR(IE,JF,IANG,2)
PHIV(JF,NOIL)=PHIV(JF,NOIL)+DWEIG(IE)*
> ((FLM(IE,IL)+FL0(IE)*CYM1(IE,IL))*TEMP2+
> (FLP(IE,IL)+FL1(IE)*CYP1(IE,IL))*TEMP1)
DPHIV(JF,NOIL)=DPHIV(JF,NOIL)+DWEIG(IE)*ETA*
> (-(DFLM(IE,IL)+FL0(IE)*CYM2(IE,IL))*TEMP2+
> (DFLP(IE,IL)+FL1(IE)*CYP2(IE,IL))*TEMP1)
DPHIV(NFX+JF,NOIL)=DPHIV(NFX+JF,NOIL)+DWEIG(IE)*XI*
> (-(DFLM(IE,IL)+FL0(IE)*CYM2(IE,IL))*TEMP2+
> (DFLP(IE,IL)+FL1(IE)*CYP2(IE,IL))*TEMP1)
2241 CONTINUE
2242 CONTINUE
ENDIF
2240 CONTINUE
IF(ISUB.NE.NSUB) CALL XABORT('MOCFFAL: NSUB INCONSISTENCY')
*
RETURN
END
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