Asymptotic derivation and simulations of a non-local Exner model in large viscosity regime
| Autor: | Martin Parisot, Léa Boittin, Emmanuel Audusse |
|---|---|
| Přispěvatelé: | Laboratoire Analyse, Géométrie et Applications (LAGA), Université Paris 8 Vincennes-Saint-Denis (UP8)-Centre National de la Recherche Scientifique (CNRS)-Université Sorbonne Paris Nord, Numerical Analysis, Geophysics and Ecology (ANGE), Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP), Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts (CARDAMOM), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Discretization
010103 numerical & computational mathematics 01 natural sciences Physics::Fluid Dynamics Free surface flow Viscosity Shallow water equations Mathematics Subject Classification.35L65 65C20 86A05 Entropy dissipation 0101 mathematics [MATH]Mathematics [math] Physics::Atmospheric and Oceanic Physics Bed load Mathematics Numerical Analysis Applied Mathematics Mechanics Sediment transport Action (physics) 010101 applied mathematics Computational Mathematics Waves and shallow water Modeling and Simulation Dissipative system Analysis Non-local effects |
| Zdroj: | ESAIM: Mathematical Modelling and Numerical Analysis ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2021, 55 (4), pp.1635-1668. ⟨10.1051/m2an/2021031⟩ ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (4), pp.1635-1668. ⟨10.1051/m2an/2021031⟩ |
| ISSN: | 0764-583X 1290-3841 |
| DOI: | 10.1051/m2an/2021031⟩ |
| Popis: | International audience; The present paper deals with the modeling and numerical approximation of bed load transport under the action of water. A new shallow water type model is derived from the stratified two-fluid Navier–Stokes equations. Its novelty lies in the magnitude of a viscosity term that leads to a momentum equation of elliptic type. The full model, sediment and water, verifies a dissipative energy balance for smooth solutions. The numerical resolution of the sediment layer is not trivial since the viscosity introduces a non-local term in the model. Adding a transport threshold makes the resolution even more challenging. A scheme based on a staggered discretization is proposed for the full model, sediment and water. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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