A Rescaling Velocity Method for Dissipative Kinetic Equations - Applications to Granular Media

Details A Rescaling Velocity Method for Dissipative Kinetic Equations - Applications to Granular Media A Rescaling Velocity Method for Dissipative Kinetic Equations - Applications to Granular Media

2012-04-24

arxiv.org/abs/1204.5275v1

Mathematics

Analysis of PDEs

25 pages

Scientific paper

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. 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.

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