Paper Info
Title
A rescaling velocity method for dissipative kinetic equations. Applications to granular media.
Abstract
We present a new numerical algorithm based on a relative energy scaling for collisional kinetic equations allowing to study numerically their long time behavior, without the usual problems related to the change of scales in velocity variables. It is based on the knowledge of the hydrodynamic limit of the model considered, but is able to compute solutions for either dilute or dense regimes. Several applications are presented for Boltzmann-like equations. This method is particularly efficient for numerical simulations of the granular gases equation with dissipative energy: it allows to study accurately the long time behavior of this equation and is very well suited for the study of clustering phenomena.
Year
DOI
Venue
2013
10.1016/j.jcp.2013.04.023
Journal of Computational Physics
Keywords
Field
DocType
Boltzmann equation,Spectral methods,Boundary values problem,Large time behavior,Granular gases
Statistical physics,Boltzmann equation,Mathematical optimization,Granular media,Dissipative system,Spectral method,Kinetic equations,Cluster analysis,Scaling,Physics
Journal
Volume
ISSN
Citations 
248
0021-9991
5
PageRank 
References 
Authors
0.61
3
2
Name
Order
Citations
PageRank
Francis Filbet127137.95
Thomas Rey2123.51