A mixed spectral-difference method for the steady state Boltzmann-Poisson system

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15 Scopus citations

Abstract

The approximate solution of the Boltzmann transport equation via Galerkin-type series expansion methods leads to a system of conservation laws in space and time for the expansion coefficients. In this paper, we derive discretization methods for these equations in the mean field approximation, which are based on the entropy principles of the underlying Boltzmann equation, and discuss the performance of these discretizations and the series expansion approach in nonequilibrium regimes.

Original languageEnglish (US)
Pages (from-to)64-89
Number of pages26
JournalSIAM Journal on Numerical Analysis
Volume41
Issue number1
DOIs
StatePublished - Feb 1 2003

Keywords

  • Boltzmann equation
  • Finite differences
  • Galerkin methods

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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