Recent advances in the simulation of free surface flows over mobile bed have shown that
accurate and stable results in realistic problems can be provided if an appropriate coupling …

The concept of sediment waves is reviewed and clarifications are proposed for
nomenclature concerning vertical channel responses to large fluvial sediment fluxes over a …

In rivers, coastal seas and transitional waters, sediment transport processes involve a variety
of interacting factors that dynamically vary over time and space. The flow dynamics within …

We present space-and space–time discontinuous Galerkin finite element (DGFEM)
formulations for systems containing nonconservative products, such as occur in dispersed …

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 …

We present the first space–time hybridizable discontinuous Galerkin (HDG) finite element
method for the incompressible Navier–Stokes and Oseen equations. Major advantages of a …

In this work, we consider the discretization of nonlinear hyperbolic systems in
nonconservative form with the high-order discontinuous Galerkin spectral element method …

We present a new finite volume method for flux-gradient and source-term balancing in the
numerical solution of shallow water equations on nonflat topography. The method consists …

In this work we present a deduction of the Saint-Venant–Exner model through an asymptotic
analysis of the Navier–Stokes equations. A multi-scale analysis is performed in order to take …

We discuss the application of a finite volume method to morphodynamic models on
unstructured triangular meshes. The model is based on coupling the shallow water …