An All-Regime and Well-Balanced Lagrange-Projection Scheme for the Shallow Water Equations on Unstructured Meshes - Université de Versailles Saint-Quentin-en-Yvelines Access content directly
Book Sections Year : 2020

An All-Regime and Well-Balanced Lagrange-Projection Scheme for the Shallow Water Equations on Unstructured Meshes

Abstract

We are interested in the numerical approximation of the shallow water equations in two space dimensions. We propose a well-balanced, all-regime, and positive scheme. Our approach is based on a Lagrange-projection decomposition which allows to naturally decouple the acoustic and transport terms.
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Dates and versions

hal-04428387 , version 1 (31-01-2024)

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Christophe Chalons, Samuel Kokh, Maxime Stauffert. An All-Regime and Well-Balanced Lagrange-Projection Scheme for the Shallow Water Equations on Unstructured Meshes. Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy, Springer International Publishing, pp.77-83, 2020, 978-3-030-38870-6. ⟨10.1007/978-3-030-38870-6_11⟩. ⟨hal-04428387⟩

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