ABSTRACT
ABSTRACT: This paper is concerned with the numerical approximation of bedload sediment transport due to water evolution and the tsumani generation by submarine avalanches. The bedload sediment transport models considered here have two components: The hydrodynamical component modeled by the shallow water equations and the morphodynamical component given by a continuity equation, which is defined in function of the solid transport discharge. We consider several deterministic models, such as Meyer-Peter & Müller, Van Rijn or Grass model, all of them formulated in an unified form. The model considered here for the tsunami generation by submarine avalances is a two-layer Savage-Huter type model (see (28)). Both kinds of models could be re-written as a non-conservative hyperbolic system. To discretize them, we consider finite volume methods and high order state reconstructions. Finally, several numerical tests are presented.
