There is growing physical and mathematical interest in the hydrodynamics of
dissipationless/dispersive media. Since GB Whitham's seminal publication fifty years ago …

We consider strongly-nonlinear and weakly-dispersive surface water waves governed by
equations of Boussinesq type, known as the Serre–Green–Naghdi system; it describes …

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

For surface gravity waves propagating in shallow water, we propose a variant of the fully
nonlinear Serre–Green–Naghdi equations involving a free parameter that can be chosen to …

Efficient modeling of flow physics is a prerequisite for a reliable computation of free-surface
environmental flows. Non-hydrostatic flows are often present in shallow water environments …

In this paper, we describe a numerical method to solve numerically the weakly dispersive
fully nonlinear Serre-Green-Naghdi (SGN) celebrated model. Namely, our scheme is based …

The present book is entirely devoted to the development of mathematical models and
numerical algorithms to simulate the generation and propagation of long surface water …

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. We …

In this paper we study two multidimensional nonlinear dispersive systems: the Serre-Green-
Naghdi (SGN) equations describing dispersive shallow water flows, and the Iordanskii …

Boussinesq-type (BT) models play a major role in coastal engineering applications. Due to
their asymptotic nature, these models have lent themselves to constant study and …