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A MOOD-like compact high order Finite Volume scheme with Adaptive Mesh Refinement
| hal.structure.identifier | Université de Bordeaux [UB] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | LOUBÈRE, Raphaël | |
| hal.structure.identifier | Université de Bordeaux [UB] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | TURPAULT, Rodolphe | |
| hal.structure.identifier | Université de Bordeaux [UB] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BOURRIAUD, Alexandre | |
| dc.date.accessioned | 2024-04-04T02:36:56Z | |
| dc.date.available | 2024-04-04T02:36:56Z | |
| dc.date.issued | 2023-04 | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190762 | |
| dc.description.abstractEn | In this paper, a novel Finite Volume (FV) scheme for obtaining high order approximations of solutions of multidimensional hyperbolic systems of conservation laws within an Adaptive Mesh Refinement framework is proposed. It is based on a point-wise polynomial reconstruction that avoids the recalculation of reconstruction stencils and matrices whenever a mesh is refined or coarsened. It also couples both the limiting of the FV scheme and the refinement procedure, taking advantage of the Multi-dimensional Optimal Order Detection (MOOD) detection criteria. The resulting computational procedure is employed to simulate test cases of increasing difficulty using two models of Partial Differential Equations: the Euler system and the radiative M 1 model, thus demonstrating its efficiency. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | Finite Volume scheme High accuracy Hyperbolic systems MOOD AMR | |
| dc.subject.en | Finite Volume scheme | |
| dc.subject.en | High accuracy | |
| dc.subject.en | Hyperbolic systems | |
| dc.subject.en | MOOD | |
| dc.subject.en | AMR | |
| dc.title.en | A MOOD-like compact high order Finite Volume scheme with Adaptive Mesh Refinement | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.amc.2022.127792 | |
| dc.subject.hal | Mathématiques [math] | |
| bordeaux.journal | Applied Mathematics and Computation | |
| bordeaux.volume | 443 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03911325 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03911325v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Applied%20Mathematics%20and%20Computation&rft.date=2023-04&rft.volume=443&rft.eissn=0096-3003&rft.issn=0096-3003&rft.au=LOUB%C3%88RE,%20Rapha%C3%ABl&TURPAULT,%20Rodolphe&BOURRIAUD,%20Alexandre&rft.genre=article |
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