Homogenization of a spectral problem in neutronic multigroup di usion Gr

@inproceedings{Allaire2000HomogenizationOA,
  title={Homogenization of a spectral problem in neutronic multigroup di usion Gr},
  author={egoire Allaire and Yves Capdeboscq},
  year={2000}
}
This paper is concerned with the homogenization of an eigenvalue problem in a periodic heterogeneous domain for the multigroup neutron di€usion system. Such a model is used for studying the criticality of nuclear reactor cores. We prove that the ®rst eigenvector of the multigroup system in the periodicity cell controls the oscillatory behaviour of the solutions, whereas the global trend is asymptotically given by a homogenized di€usion eigenvalue problem. The neutron ̄ux, corresponding to the… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 28 references

Le probl eme de dirichlet pour les equations elliptiques du second ordre a coecients discontinus

  • G. Stampacchia
  • Ann. Inst. Fourier 15 (1) (1965) 189±258. G…
  • 2000
Highly Influential
4 Excerpts

An asymptotic analysis for the systematic homogenization of pwr assemblies

  • F. Malige, J.-L. Vaudescal
  • the di€usion case, Technical Report HI-72/97/008…
  • 1997
Highly Influential
8 Excerpts

Analyse asymptotique spectrale d'un probl eme de di€usion neutronique

  • G. Allaire, F. Malige
  • C. R. Acad. Sci. Paris S erie I t.324
  • 1997
Highly Influential
8 Excerpts

M ethodes math ematiques en neutronique

  • J. Planchard
  • in: Collection de la Direction des Etudes et…
  • 1995
Highly Influential
6 Excerpts

Etude math ematique et num erique de l'homog en eisation des assemblages combustibles d'un cúur de r eacteur nucl eaire

  • F. Malige
  • Th ese de Doctorat de l' ecole Polytechnique
  • 1996
Highly Influential
9 Excerpts

Homogenization and two-scale convergence

  • G. Allaire
  • SIAM J. Math. Anal. 23 (6)
  • 1992
Highly Influential
4 Excerpts

Linear operators leaving invariant a cone in a Banach space

  • M. Krein, M. Rutman
  • Functional Anal. Measure Theory 10
  • 1962
Highly Influential
3 Excerpts

The multigroup di€usion equations of reactor physics

  • G. Habetler, M. Martino
  • report KAPL 1886, Knolls Atomic Power Laboratory
  • 1958
Highly Influential
2 Excerpts

First-order corrector for the homogenization of the criticality eigenvalue problem in the even parity formulation of the neutron transport

  • G. Bal
  • SIAM J. Appl. Math., submitted. Fig. 2. Fast…
  • 2000

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