This review focuses on recent advances in process-based numerical models of the impact of
extreme storms on sandy coasts. Driven by larger-scale models of meteorology and …

In this paper, the development of a class of depth-integrated, phase-resolving models for
surface wave propagation, known as Boussinesq-type models (BTMs), is reviewed. This …

Abstract The Serre–Green–Naghdi (SGN) equations, also known as the fully-nonlinear
Boussinesq wave equations, accurately describe the behaviour of dispersive shoaling water …

This paper is on arbitrary high order fully discrete one-step ADER discontinuous Galerkin
schemes with subcell finite volume limiters applied to a new class of first order hyperbolic …

This paper, which is largely the fruit of an invited talk on the topic at the latest International
Conference on Coastal Engineering, describes the state of the art of modelling by means of …

The fully nonlinear and weakly dispersive Green–Naghdi model for shallow water waves of
large amplitude is studied. The original model is first recast under a new formulation more …

A general method for the derivation of asymptotic nonlinear models in shallow and deep
water is presented. Starting from a general dimensionless version of the water wave …

In this paper, a new method to handle wave breaking in fully non-linear Boussinesq-type
models is presented. The strategy developed to treat wave breaking is based on a …

We investigate here the ability of a Green–Naghdi model to reproduce strongly nonlinear
and dispersive wave propagation. We test in particular the behavior of the new hybrid finite …

A new methodology is presented to handle wave breaking over complex bathymetries in
extended two-dimensional Boussinesq-type (BT) models which are solved by an …