High order entropy preserving ADER-DG schemes
| hal.structure.identifier | Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM] | |
| dc.contributor.author | GABURRO, Elena | |
| hal.structure.identifier | Institut für Mathematik [Mainz] | |
| dc.contributor.author | ÖFFNER, Philipp | |
| hal.structure.identifier | Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM] | |
| dc.contributor.author | RICCHIUTO, Mario | |
| hal.structure.identifier | Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies [SISSA / ISAS] | |
| dc.contributor.author | TORLO, Davide | |
| dc.date.accessioned | 2024-04-04T02:34:49Z | |
| dc.date.available | 2024-04-04T02:34:49Z | |
| dc.date.issued | 2023-03 | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190580 | |
| dc.description.abstractEn | In this paper, we develop a fully discrete entropy preserving ADER-Discontinuous Galerkin (ADER-DG) method. To obtain this desired result, we equip the space part of the method with entropy correction terms that balance the entropy production in space, inspired by the work of Abgrall. Whereas for the time-discretization we apply the relaxation approach introduced by Ketcheson that allows to modify the timestep to preserve the entropy to machineprecision. Up to our knowledge, it is the first time that a provable fully discrete entropy preserving ADER-DG scheme is constructed. We verify our theoretical results with various numerical simulations. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | Hyperbolic Conservation Laws | |
| dc.subject.en | ADER | |
| dc.subject.en | Discontinuous Galerkin | |
| dc.subject.en | Entropy Conservation/Stability | |
| dc.subject.en | Structure Preserving | |
| dc.subject.en | Relaxation Method | |
| dc.title.en | High order entropy preserving ADER-DG schemes | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.amc.2022.127644 | |
| dc.subject.hal | Mathématiques [math] | |
| dc.identifier.arxiv | 2112.10608 | |
| bordeaux.journal | Applied Mathematics and Computation | |
| bordeaux.page | 127644 | |
| bordeaux.volume | 440 | |
| 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-03850196 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03850196v1 | |
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