Fast deterministic method of solving the Boltzmann equation for hard spheres

Authors
Bobylev, AV Rjasanow, S
Citation
Av. Bobylev et S. Rjasanow, Fast deterministic method of solving the Boltzmann equation for hard spheres, EUR J MEC B, 18(5), 1999, pp. 869-887
Citations number
11
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science","Mechanical Engineering
Journal title
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS
ISSN journal
09977546 → ACNP
Volume
18
Issue
5
Year of publication
1999
Pages
869 - 887
Database
ISI
SICI code
0997-7546(199909/10)18:5<869:FDMOST>2.0.ZU;2-G
Abstract
A special form of the Boltzmann collision operator for the hard spheres mod el is introduced. The possibilities of fast numerical computation of the co llision operator based on this form and the Fast Fourier Transform are disc ussed. A new difference scheme for the Boltzmann equation for the hard sphe res model is developed. The results of some numerical tests and accuracy co mparisons with the Direct Simulation Monte Carlo (DSMC) method are presente d. (C) 1999 Editions scientifiques et medicales Elsevier SAS.