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A Well-Balanced Finite Volume Scheme for Shallow Water Equations with Porosity

Author(s): Minh H. Le; Virgile Dubos; Marina Oukacine; Nicole Goutal

Linked Author(s): Nicole Goutal

Keywords: No Keywords

Abstract: Strong interactions exist between flow dynamics and vegetation in open-channel. Depth-averaged shallow water equations can be used for such a study. However, explicit representation of vegetation can lead to very high resolution of the mesh since the vegetation is often modelled as vertical cylinders. Our work aims to study the ability of a single porosity-based shallow water model for these applications. More attention on flux and source terms discretizations are required in order to archive the well-balancing and shock capturing properties. We present a new Godunov-type finite volume scheme based on a simple-wave approximation and compare it with some other methods in the literature. A first application with experimental data was performed.

DOI: https://doi.org/10.1051/e3sconf/20184005032

Year: 2018

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