This paper shows that equal order and even low order (second) upwind/stabilized techniques can be used to model non-hydrostatic wave propagation over complex bathymetries.Expand

We consider the numerical solution of the shallow water equations on unstructured grids and analyze their discrete accuracy and stability properties.Expand

In this paper, we construct spatially consistent explicit second order discretizations for time dependent hyperbolic problems, starting from a given residual distribution (RD) discrete approximation of the steady operator.Expand

We investigate the potential of the so-called "relocation" mesh adaptation in terms of resolution and efficiency for the simulation of free surface flows in the near shore region. Our work is… Expand

In this work we review 12 years of developments in the field of residual based discretizations for hyperbolic problems and their application to the solution of the shallow water equations.… Expand

In this paper we evaluate hybrid strategies for the solution of the Green–Naghdi system of equations for the simulation of fully nonlinear and weakly dispersive free surface waves.Expand

We present a systematic generalization of the residual distribution method of [1] to very high order of accuracy, by extending the preliminary work to systems and hybrid meshes.Expand