Author(s): A. Palumbo; L. Cozzolino; R. Della Morte; D. Pianese
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Keywords: Shallow water Equations; Movable bed; Nonconservative source terms; Finite volume methods; Path-conservative numerical methods
Abstract: Modelling the flow propagation in shallow-water bodies with movable bed is a challenging task. Due to the existence of sediment transport, bottom discontinuities and sudden bed elevation changes can be developed, for example at the end of stilling basin aprons; moreover, it is common to find structures as drop structures, check dams, sills, which promote the formation of local bed discontinuities. Here, following the theory by Dal Maso, Le Floch and Murat, a numerical scheme is presented, which is well balanced and able to capture contact discontinuities in flows characterized by movable bed: in particular, the bed geometry non-conservative products are defined in order to ensure a hydrostatic pressure distribution onto the bed step. Finally, numerical tests are presented in order to demonstrate the viability of the method.
Year: 2011