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+*DECK XDRH33
+ SUBROUTINE XDRH33 (IBIHET,NUN,IR1,NMILG,NREG,NREG2,NG,NSMAX,
+ 1 KEYFLX,NS,IDIL,MIXGR,IBI,FRACT,VOLK,SIGMA,P1I,P1DI,P1KI,SIGA1,
+ 2 FUNKNO)
+*
+*-----------------------------------------------------------------------
+*
+*Purpose:
+* Calculation of the composite flux for the She-Liu-Shi double
+* heterogeneity model (part 3).
+*
+*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): R. Chambon
+*
+*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.
+* P1I non collision probability in subvolume with 1 grain type.
+* P1KI escape probability from layer k in subvolume
+* with 1 grain type.
+* P1DI escape probability from matrix in subvolume
+* with 1 grain type.
+* SIGA1 corrected cross section.
+*
+*Parameters: input/output
+* FUNKNO macro-flux on input (solution of the transport equation
+* defined over the macro-geometry) and composite flux on output.
+*
+*-----------------------------------------------------------------------
+*
+ IMPLICIT NONE
+*----
+* SUBROUTINE ARGUMENTS
+*----
+ INTEGER IBIHET,NUN,IR1,NMILG,NREG,NREG2,NG,NSMAX,KEYFLX(NREG),
+ 1 NS(NG),IDIL(NMILG),MIXGR(NSMAX,NG,NMILG),IBI(NREG2)
+ REAL FRACT(NG,IR1+NMILG),VOLK(NG,NSMAX),SIGMA(0:IR1+NMILG),
+ 1 P1I(NG,NMILG),P1DI(NG,NMILG),P1KI(NSMAX,NG,NMILG),
+ 2 SIGA1(NG,NMILG),FUNKNO(NUN)
+*----
+* LOCAL VARIABLES
+*----
+ INTEGER IBM,I,J,K,IUNK,IND1,MIL
+ REAL FAVG,SIGTT,DILF,FRT
+*----
+* SCRATCH STORAGE ALLOCATION
+*----
+ IF(IBIHET.NE.3) THEN
+ CALL XABORT('XDRH33: INVALID DOUBLE HETEROGENEITY METHOD.')
+ ENDIF
+*----
+* COMPUTE THE COMPOSITE FLUX.
+*----
+ IND1=NREG2
+ DO 60 I=1,NREG2
+ MIL=IBI(I)
+ IF(MIL.GT.IR1) THEN
+ IBM=MIL-IR1
+ FAVG=FUNKNO(KEYFLX(I))
+ SIGTT=SIGMA(IR1+IBM)
+ DILF=1.0
+ DO 30 J=1,NG
+ FRT=FRACT(J,MIL)
+ DILF=DILF-FRT
+ IF(FRT.LE.0.00001) GO TO 30
+ 30 CONTINUE
+* flux in composite matrix
+ FUNKNO(KEYFLX(I))=0.0
+ IUNK=KEYFLX(I)
+ DO 40 J=1,NG
+ FRT=FRACT(J,MIL)
+ IF(FRT.LE.0.00001) GO TO 40
+ FUNKNO(KEYFLX(I))=FUNKNO(KEYFLX(I))+FAVG*SIGA1(J,IBM)
+ > /SIGMA(IDIL(IBM))/(1.0-P1I(J,IBM))*P1DI(J,IBM)/DILF
+ DO K=1,NS(J)
+ IUNK=KEYFLX(IND1+K)
+ FUNKNO(IUNK)=FAVG*SIGA1(J,IBM)/SIGMA(MIXGR(K,J,IBM))
+ > /(1.0-P1I(J,IBM))*P1KI(K,J,IBM)/(1.0-DILF)/VOLK(J,K)
+ ENDDO
+ IND1=IND1+NS(J)
+ 40 CONTINUE
+ ENDIF
+ 60 CONTINUE
+*----
+* SCRATCH STORAGE DEALLOCATION
+*----
+ RETURN
+ END