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| Detailed view | Preprint, Working Paper, ... |
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| Available versions: | v1 (2010-12-09) | v2 (2013-03-08) |
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| Stable lattice Boltzmann scheme for a moving Burgers shock wave |
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| François Dubois1 |
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| We follow the mathematical framework proposed by Bouchut in 2003 in order to derive equilibrium functions for D1Q3 lattice Boltzmann simulations of the Burgers equation. When a particular convexity property is satisfied, we observe for strong nonlinear shocks and rarefactions that the resulting scheme is numerically stable. |
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| 1: | LM-Orsay - Laboratoire de Mathématiques d'Orsay |
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| Hyperbolic conservation laws – entropy – convex hull |
| hal-00545244, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00545244 | |
| oai:hal.archives-ouvertes.fr:hal-00545244 | |
| From: François Dubois | |
| Submitted on: Thursday, 9 December 2010 20:30:08 | |
| Updated on: Thursday, 9 December 2010 20:43:00 | |
