Mixed-hybrid discretization methods for the linear Boltzmann transport equation

S. Van Criekingen*, R. Beauwens, J. W. Jerome, E. E. Lewis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The linear Boltzmann transport equation is discretized using a finite element technique for the spatial variable and a spherical harmonic technique for the angular variable. With the angular flux decomposed into even- and odd-angular parity components, mixed-hybrid methods are developed that combine the advantages of mixed (simultaneous approximation of even- and odd-parity fluxes) and hybrid (use of Lagrange multipliers to enforce interface regularity conditions) methods. An existence and uniqueness theorem is proved for the resulting problems. Beside the well-known primal/dual distinction induced by the spatial variable, the angular variable leads to an even/odd distinction for the spherical harmonic expansion order.

Original languageEnglish (US)
Pages (from-to)2719-2741
Number of pages23
JournalComputer Methods in Applied Mechanics and Engineering
Volume195
Issue number19-22
DOIs
StatePublished - Apr 1 2006

Keywords

  • Linear Boltzmann transport equation
  • Mixed-hybrid discretization methods
  • P approximation

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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