Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 248, Issue -, Pages 177-199Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2013.04.023
Keywords
Boltzmann equation; Spectral methods; Boundary values problem; Large time behavior; Granular gases
Funding
- European Research Council ERC Starting Grant [239983-NuSiKiMo]
- NSF [1008397, 1107444]
- ONR Grant [000141210318]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1008397, 1107444] Funding Source: National Science Foundation
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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. (c) 2013 Elsevier Inc. All rights reserved.
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