Statistical modelling algorithm for solving the nonlinear Boltzmann equation based on the projection method

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2 Citations (Scopus)

Abstract

A statistical modelling algorithm is constructed for solution of the nonlinear kinetic Boltzmann equation based on the projection method. Hermite polynomials are used as an orthonormalized basis. The algorithm was tested on calculations for the problem of one-dimensional relaxation of gas with a known solution.

Original languageEnglish
Pages (from-to)197-202
Number of pages6
JournalRussian Journal of Numerical Analysis and Mathematical Modelling
Volume32
Issue number3
DOIs
Publication statusPublished - 27 Jun 2017

Keywords

  • direct simulation
  • Ensemble of interacting particles
  • estimator over collisions.
  • Markov chain

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