CONVERGENCE OF THE LATTICE BOLTZMANN METHOD WITH OVERRELAXATION FOR A NONLINEAR CONSERVATION LAW
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Institut Polytechnique de Bordeaux [Bordeaux INP] | |
| dc.contributor.author | AREGBA-DRIOLLET, Denise | |
| dc.date.accessioned | 2024-04-04T02:32:28Z | |
| dc.date.available | 2024-04-04T02:32:28Z | |
| dc.date.created | 2023-11-20 | |
| dc.date.issued | 2023-11-20 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190389 | |
| dc.description.abstractEn | We approximate a nonlinear multidimensional conservation law by Lattice Boltzmann Methods (LBM). We use underlying BGK type systems with finite number of velocities discretized by a transport-collision scheme. The collision part involves a relaxation parameter ω which value greatly influences the stability and accuracy of the method, as noted by many authors. In this article we clarify the relationship between ω and the parameters of the kinetic model and we highlight some new monotony properties which allow us to extend the previously obtained stability and convergence results. Numerical experiments are performed. | |
| dc.language.iso | en | |
| dc.subject.en | 1991 Mathematics Subject Classification. 65M12 -35L60 -65M08 | |
| dc.title.en | CONVERGENCE OF THE LATTICE BOLTZMANN METHOD WITH OVERRELAXATION FOR A NONLINEAR CONSERVATION LAW | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Informatique [cs]/Analyse numérique [cs.NA] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-04295368 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04295368v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2023-11-20&rft.au=AREGBA-DRIOLLET,%20Denise&rft.genre=preprint |
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