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A Well-balanced Finite Volume Scheme for Shallow Water Equations with Porosity Application to Modelling of Open-Channel Flow through Rigid and Emergent Vegetation

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 rigid 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. 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.
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https://hal.archives-ouvertes.fr/hal-01706777
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Submitted on : Monday, February 12, 2018 - 11:47:37 AM
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  • HAL Id : hal-01706777, version 1

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Minh Le, Virgile Dubos, Marina Oukacine, Nicole Goutal. A Well-balanced Finite Volume Scheme for Shallow Water Equations with Porosity Application to Modelling of Open-Channel Flow through Rigid and Emergent Vegetation. River Flow 2018 - 9th International Conference on Fluvial Hydraulics, Sep 2018, Lyon-Villeurbanne, France. pp.1-7. ⟨hal-01706777⟩

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