Linearized Boltzmann equation: A preliminary exploration of its range of applicability

Gian Pietro Ghiroldi*, Livio Gibelli, Paride Dagna, Alice Invernizzi

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We investigate the scaling behavior of non-linear solutions of the two dimensional driven cavity flow with respect to the Mach number. Accurate numerical solutions of the hard-sphere Boltzmann equation have been obtained by means of a novel deterministic method which combines a finite volume discretization of the free-streaming term with a Gauss-Hermite evaluation of the collision integral. The results are of interest for DSMC applications to low speed flows, since they reveal the strategy to rescale solutions obtained at relatively high Mach numbers down to smaller values.

Original languageEnglish
Title of host publication28th International Symposium on Rarefied Gas Dynamics 2012
Pages735-741
Number of pages7
Volume1501
Edition1
DOIs
Publication statusPublished - 1 Dec 2012
Event28th International Symposium on Rarefied Gas Dynamics 2012, RGD 2012 - Zaragoza, Spain
Duration: 9 Jul 201213 Jul 2012

Conference

Conference28th International Symposium on Rarefied Gas Dynamics 2012, RGD 2012
CountrySpain
CityZaragoza
Period9/07/1213/07/12

Keywords

  • cavity flow
  • deterministic scheme
  • Linearized Boltzmann equation

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