Homogenization of a spectral problem in neutronic multigroup di usion Gr

  title={Homogenization of a spectral problem in neutronic multigroup di usion Gr},
  author={egoire Allaire and Yves Capdeboscq},
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
Highly Cited
This paper has 17 citations. REVIEW CITATIONS
13 Citations
28 References
Similar Papers


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

Similar Papers

Loading similar papers…