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*DECK XDRH30
SUBROUTINE XDRH30 (IBIHET,NUN,IR1,NMILG,NREG,NREG2,NG,NSMAX,
1 KEYFLX,NS,IDIL,MIXGR,IBI,FRACT,VOLK,SIGMA,SIGMS,NCO,RRRR,QKOLD,
2 QKDEL,PKL,COEF,SUNKNO,FUNKNO)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Calculation of the composite flux for the Hebert or Sanchez-Pomraning
* double heterogeneity model (part 3).
*
*Copyright:
* Copyright (C) 2007 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
* IBIHET type of double-heterogeneity method (=1 Sanchez-Pomraning
* model; =2 Hebert model).
* NUN number of unknown in the system.
* IR1 number of mixtures in the domain.
* NMILG number of composite mixtures in the domain.
* NREG number of volumes in the composite geometry.
* NREG2 number of volumes in the macro geometry.
* NG number of different kind of micro structures. A kind of
* micro structure is characterized by the radius of its
* micro volumes. All the micro volumes of the same kind
* should own the same nuclear properties in a given macro
* volume.
* NSMAX maximum number of volumes (tubes or shells) in each kind of
* micro structure.
* KEYFLX flux elements in unknown system.
* NS number of volumes in each kind of micro structure.
* IDIL elementary mixture indices in the diluent of the composite
* mixtures.
* MIXGR elementary mixture indices in the micro structures.
* IBI type of mixture in each volume of the macro geometry.
* If IBI(IKK) is greater than IR1, the volume IKK contains a
* micro structure.
* FRACT volumic fractions of the micro volumes.
* VOLK volumic fractions of the tubes or shells in the micro volumes.
* SIGMA equivalent total macroscopic cross section in each mixture.
* SIGMS equivalent scattering macroscopic cross section in each
* mixture.
* NCO number of volumes in each composite mixture.
* QKOLD information computed by XDRH11.
* QKDEL information computed by XDRH11 or XDRH12.
* PKL information computed by XDRH11 or XDRH12.
* RRRR information computed by XDRH11 or XDRH12.
* COEF information computed by XDRH11 or XDRH12.
* SUNKNO sources defined in the composite geometry.
*
*Parameters: input/output
* FUNKNO macro-flux on input (solution of the transport equation
* defined over the macro-geometry) and composite flux on output.
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER IBIHET,NUN,IR1,NMILG,NREG,NREG2,NG,NSMAX,KEYFLX(NREG),
1 NS(NG),IDIL(NMILG),MIXGR(NSMAX,NG,NMILG),IBI(NREG2),NCO(NMILG)
REAL FRACT(NG,IR1+NMILG),VOLK(NG,NSMAX),SIGMA(0:IR1+NMILG),
1 SIGMS(0:IR1+NMILG),RRRR(NMILG),QKOLD(NG,NSMAX,NMILG),
2 QKDEL(NG,NSMAX,NMILG),PKL(NG,NSMAX,NSMAX,NMILG),SUNKNO(NUN),
3 FUNKNO(NUN)
DOUBLE PRECISION COEF(1+NG*NSMAX,1+NG*NSMAX,NMILG)
*----
* LOCAL VARIABLES
*----
DOUBLE PRECISION DP0,DDOT
REAL, ALLOCATABLE, DIMENSION(:) :: FLUAS
DOUBLE PRECISION, ALLOCATABLE, DIMENSION(:) :: RHS
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(FLUAS(NREG2),RHS(1+NG*NSMAX))
*
IF(IBIHET.EQ.1) THEN
GO TO 10
ELSE IF(IBIHET.EQ.2) THEN
GO TO 70
ELSE
CALL XABORT('XDRH30: INVALID DOUBLE HETEROGENEITY METHOD.')
ENDIF
*----
* COMPUTE THE COMPOSITE FLUX (SANCHEZ-POMRANING METHOD).
*----
10 IND1=NREG2
DO 60 I=1,NREG2
MIL=IBI(I)
IF(MIL.GT.IR1) THEN
IBM=MIL-IR1
FUNKNO(KEYFLX(I))=FUNKNO(KEYFLX(I))/RRRR(IBM)
INDGAR=IND1
DILF=1.0
DP0=0.0D0
DO 30 J=1,NG
FRT=FRACT(J,MIL)
DILF=DILF-FRT
IF(FRT.LE.0.00001) GO TO 30
DO 20 K=1,NS(J)
DP0=DP0+FRT*VOLK(J,K)*QKOLD(J,K,IBM)*SIGMA(MIXGR(K,J,IBM))
20 CONTINUE
IND1=IND1+NS(J)
30 CONTINUE
DP0=DP0+DILF*SIGMA(IDIL(IBM))
IUNK=KEYFLX(I)
RHS(1)=DILF*(SIGMS(IDIL(IBM))*FUNKNO(IUNK)+SUNKNO(IUNK))/DP0
IND1=INDGAR
IND2=1
DO 40 J=1,NG
FRT=FRACT(J,MIL)
IF(FRT.LE.0.00001) GO TO 40
DO K=1,NS(J)
IUNK=KEYFLX(IND1+K)
RHS(1)=RHS(1)+FRT*VOLK(J,K)*QKOLD(J,K,IBM)*SUNKNO(IUNK)/DP0
RHS(IND2+K)=QKDEL(J,K,IBM)*FUNKNO(KEYFLX(I))
DO N=1,NS(J)
IUNK=KEYFLX(IND1+N)
RHS(IND2+K)=RHS(IND2+K)+PKL(J,K,N,IBM)*SUNKNO(IUNK)
ENDDO
ENDDO
IND1=IND1+NS(J)
IND2=IND2+NS(J)
40 CONTINUE
IND1=INDGAR
IND2=1
DO 50 J=1,NG
IF(FRACT(J,MIL).LE.0.00001) GO TO 50
DO K=1,NS(J)
IUNK=KEYFLX(IND1+K)
DP0=DDOT(NCO(IBM),COEF(IND2+K,1,IBM),1+NG*NSMAX,RHS,1)
FUNKNO(IUNK)=REAL(DP0)
ENDDO
IND1=IND1+NS(J)
IND2=IND2+NS(J)
50 CONTINUE
ENDIF
60 CONTINUE
RETURN
*----
* COMPUTE THE COMPOSITE FLUX (HEBERT METHOD).
*----
70 IND1=NREG2
DO 120 I=1,NREG2
MIL=IBI(I)
IF(MIL.GT.IR1) THEN
IBM=MIL-IR1
INDGAR=IND1
DILF=1.0
DP0=0.0D0
DO 90 J=1,NG
FRT=FRACT(J,MIL)
DILF=DILF-FRT
IF(FRT.LE.0.00001) GO TO 90
DO 80 K=1,NS(J)
DP0=DP0+FRT*VOLK(J,K)*QKDEL(J,K,IBM)*SIGMA(MIXGR(K,J,IBM))
80 CONTINUE
IND1=IND1+NS(J)
90 CONTINUE
DP0=DP0+DILF*SIGMA(IDIL(IBM))
IUNK=KEYFLX(I)
RHS(1)=DILF*(RRRR(IBM)*SIGMS(IDIL(IBM))*FUNKNO(IUNK)+
1 SUNKNO(IUNK))/DP0
IND1=INDGAR
IND2=1
DO 100 J=1,NG
FRT=FRACT(J,MIL)
IF(FRT.LE.0.00001) GO TO 100
DO K=1,NS(J)
IUNK=KEYFLX(IND1+K)
RHS(1)=RHS(1)+FRT*VOLK(J,K)*QKDEL(J,K,IBM)*SUNKNO(IUNK)/DP0
RHS(IND2+K)=RRRR(IBM)*QKDEL(J,K,IBM)*FUNKNO(KEYFLX(I))
DO N=1,NS(J)
IUNK=KEYFLX(IND1+N)
RHS(IND2+K)=RHS(IND2+K)+PKL(J,K,N,IBM)*SUNKNO(IUNK)
ENDDO
ENDDO
IND1=IND1+NS(J)
IND2=IND2+NS(J)
100 CONTINUE
IND1=INDGAR
IND2=1
DO 110 J=1,NG
IF(FRACT(J,MIL).LE.0.00001) GO TO 110
DP0=DDOT(NCO(IBM),COEF(1,1,IBM),1+NG*NSMAX,RHS,1)
FLUAS(I)=REAL(DP0)*SIGMA(IBI(I))
DO K=1,NS(J)
IUNK=KEYFLX(IND1+K)
DP0=DDOT(NCO(IBM),COEF(IND2+K,1,IBM),1+NG*NSMAX,RHS,1)
FUNKNO(IUNK)=REAL(DP0)
ENDDO
IND1=IND1+NS(J)
IND2=IND2+NS(J)
110 CONTINUE
IUNK=KEYFLX(I)
FUNKNO(IUNK)=RRRR(IBM)*FUNKNO(IUNK)+(1.0-RRRR(IBM))*FLUAS(I)/
1 SIGMA(IBI(I))
ENDIF
120 CONTINUE
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(RHS,FLUAS)
RETURN
END
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