Two - dimensional Sediment Transport models in Shallow Water equations . A second order finite volume approach on unstructured meshes . ∗
نویسندگان
چکیده
In this paper we study the numerical approximation of bedload sediment transport due to shallow layer flows. The hydrodynamical component is modeled by a 2D shallow water system and the morphodynamical component by a solid transport discharge formula that depends on the hydrodynamical variables. The coupled system can be written as a nonconservative hyperbolic system. To discretize it, first we consider a Roe-type first order scheme as well as a variant based on the use of flux limiters. These first order schemes are then extended to second order accuracy by means of a new MUSCL-type reconstruction operator on unstructured meshes. Finally, some numerical tests are presented. Short title : Second order discretization of 2D sediment transport models.
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