The FVC Scheme on Unstructured Meshes for the Two-Dimensional Shallow Water Equations

DOI10.1007/978-3-030-43651-3_42zbMath1454.65100arXiv2105.11290OpenAlexW3034707631MaRDI QIDQ5117470

Moussa Ziggaf, Mohamed Boubekeur, Imad Elmahi, Fayssal Benkhaldoun, I. Kissami

Publication date: 25 August 2020

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.11290

zbMATH Keywords

finite volume methodunstructured meshesshallow water equationsmethod of characteristicsFVC scheme

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) General theory of rotating fluids (76U05) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (3)

A highly efficient finite volume method with a diffusion control parameter for hyperbolic problems ⋮ A Well-Balanced FVC Scheme for 2D Shallow Water Flows on Unstructured Triangular Meshes ⋮ A Finite Volume Scheme with a Diffusion Control Parameter on Unstructured Hybrid Mesh: Application to Two-Dimensional Euler Equations

Cites Work

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• Free-surface flow modeling and simulation of horizontal-axis tidal-stream turbines
• Numerical approximation of hyperbolic systems of conservation laws
• Projection finite volume method for shallow water flows
• A sign matrix based scheme for non-homogeneous PDE's with an analysis of the convergence stagnation phenomenon

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