Explicit Residual Discretizations for Shallow Water Flows
| hal.structure.identifier | Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | RICCHIUTO, Mario | |
| dc.date.accessioned | 2024-04-04T02:25:57Z | |
| dc.date.available | 2024-04-04T02:25:57Z | |
| dc.date.issued | 2011 | |
| dc.identifier.issn | 0094-243X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189917 | |
| dc.description.abstractEn | We describe an explicit residual based discretization of the Shallow Water equations. When based on a continuous polynomial approximation of the unknowns, these discretizations have remarkable properties in terms of preservation of steady equilibria. However, they are also implicit by nature due to the necessity of inverting a mass matrix. Following [Ricchiuto and Abgrall, J.Comput.Phys. 229, 2010], we present an approach to construct genuinely explicit schemes, which simply by properly choosing the approximation space, preserve steady equilibria at the discrete level on unstructured meshes. Numerical examples involving multidimensional perturbations of steady equilibria and wetting/drying are presented. | |
| dc.language.iso | en | |
| dc.publisher | American Institute of Physics | |
| dc.title.en | Explicit Residual Discretizations for Shallow Water Flows | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1063/1.3636885 | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph] | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
| dc.subject.hal | Sciences de l'environnement/Ingénierie de l'environnement | |
| bordeaux.journal | AIP Conference Proceedings | |
| bordeaux.page | 919-922 | |
| bordeaux.volume | 1389 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00651806 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00651806v1 | |
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