Comparison betweentime relaxed Monte Carlo method and majorant frequency scheme methods for the space homogeneous boltzmann equation

G. Russo, L. Pareschi, S. Trazzi, A. Shevyrin, Ye Bondar, M. Ivanov

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

Abstract

Recently a new class of schemes, called Time Relaxed Monte Carlo (TRMC) has been introduced for the numerical solution of the Boltzmann equation of gas dynamics. The motivation is to propose a systematic framework to derive Monte Carlo methods effective near the fluid dynamic regime. Before the methods can be accepted as alternative tools to other methods, they have to show that they are able to reproduce results obtainable by well established reliable methods. In this paper a detailed comparison is performed between TRMC methods and the Majorant Frequency Scheme in the case of the space-homogeneous Boltzmann equation. In particular, the effect of finite number of particles is considered.

Original languageEnglish
Title of host publicationRAREFIED GAS DYNAMICS
Subtitle of host publication24th International Symposium on Rarefied Gas Dynamics, RGD24
Pages571-576
Number of pages6
DOIs
StatePublished - 16 May 2005
Externally publishedYes
Event24th International Symposium on Rarefied Gas Dynamics, RGD24 - Bari, Italy
Duration: 10 Jul 200416 Jul 2004

Publication series

NameAIP Conference Proceedings
Volume762
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference24th International Symposium on Rarefied Gas Dynamics, RGD24
Country/TerritoryItaly
CityBari
Period10/07/0416/07/04

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