We consider the issue of wave breaking closure for Boussinesq type models, and attempt at
providing some more understanding of the sensitivity of some closure approaches to the …

We provide a review of high order methods for CFD. Besides recalling some classical
methods, we show a framework allowing on one hand to see and work with these methods …

In this paper, we introduce a discontinuous Finite Element formulation on simplicial
unstructured meshes for the study of free surface flows based on the fully nonlinear and …

We review here the derivation of many of the most important models that appear in the
literature (mainly in coastal oceanography) for the description of waves in shallow water. We …

We present a new approach to model coastal waves in the shoaling and surf zones. The
model can be described as a depth-averaged large-eddy simulation model with a cutoff in …

In this paper, we present a hybrid numerical scheme combining finite volume and finite
difference methods (FV/FD), for solving two extended Boussinesq-type (BT) models. We …

The Green-Naghdi equations are a nonlinear dispersive perturbation of the nonlinear
shallow water equations, more precise by one order of approximation. These equations are …

The aim of the present work has been to develop a model able to represent the propagation
and transformation of waves in nearshore areas. The focus is on the phenomena of wave …

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 …

A numerical scheme for solving the recently derived generalised Serre–Green–Naghdi
equations which produce a family of equations modelling waves in shallow water with …