activity
20072010
most citedA splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model

189 citations · 236 across the 5 of their papers we have counts for

collaborators

5 papers

math.NA2010★ 189 cited

A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model

Philippe Bonneton, Florent Chazel, David Lannes +2

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…

physics.ao-ph2010★ 6 cited

Fully nonlinear weakly dispersive modelling of wave transformation, breaking and runup

P. Bonneton, E. Barthelemy, J. D. Carter +5

To describe the strongly nonlinear dynamics of waves propagating in the final stages of shoaling and in the surf and swash zones, fully nonlinear models are required. The ability o…

physics.ao-ph2010★ 4 cited

Numerical simulation of strongly nonlinear and dispersive waves using a Green-Naghdi model

Florent Chazel, David Lannes, Fabien Marche

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…

physics.ao-ph2009★ 24 cited

A double-layer Boussinesq-type model for highly nonlinear and dispersive waves

Florent Chazel, Michel Benoit, Alexandre Ern +1

We derive and analyze in the framework of the mild-slope approximation a new double-layer Boussinesq-type model which is linearly and nonlinearly accurate up to deep water. Assumin…

math.AP2007★ 13 cited

On the Korteweg-de Vries approximation for uneven bottoms

Florent Chazel

In this paper we focus on the water waves problem for uneven bottoms on a two-dimensionnal domain. Starting from the symmetric Boussinesq systems derived in [Chazel, Influence of t…