| ICJ - Équipe MMCS - Modélisation mathématique et Calcul scientifique |  |
| ICJ - Équipe MMCS - Modélisation mathématique et Calcul scientifique | |
| HAL: hal-00690598, version 1 |
| arXiv: 1204.5275 |
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| Available versions: | v1 (2012-04-24) | v2 (2012-11-19) | v3 (2013-04-18) |
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| A Rescaling Velocity Method for Dissipative Kinetic Equations - Applications to Granular Media |
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Francis Filbet 1Thomas Rey 1 |
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| (2012-04-19) |
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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. 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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| 1: | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| MMCS |
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| Subject | : | Mathematics/Analysis of PDEs |
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| Boltzmann equation – spectral methods – boundary values problem – large time behavior – granular gases |
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| hal-00690598, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00690598 | |
| oai:hal.archives-ouvertes.fr:hal-00690598 | |
| From: Thomas Rey | |
| Submitted on: Monday, 23 April 2012 22:12:28 | |
| Updated on: Tuesday, 24 April 2012 08:29:14 | |
