189 citations · 237 across the 6 of their papers we have counts for
7 papers
A Hybrid High-Order method for the convective Cahn-Hilliard problem in mixed form
Florent Chave, Daniele Di Pietro, Fabien Marche
We propose a novel Hybrid High-Order method for the Cahn-Hilliard problem with convection. The proposed method is valid in two and three space dimensions, and it supports arbitrary…
A discontinuous Galerkin method for a new class of Green-Naghdi equations on simplicial unstructured meshes
Arnaud Duran, Fabien Marche
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 weakly…
Nonlinear Wave-Currents interactions in shallow water
David Lannes, Fabien Marche
We study here the propagation of long waves in the presence of vorticity. In the irrotational framework, the Green-Naghdi equations (also called Serre or fully nonlinear Boussinesq…
A Hybrid High-Order method for the Cahn-Hilliard problem in mixed form
Florent Chave, Daniele A. Di Pietro, Fabien Marche +1
In this work, we develop a fully implicit Hybrid High-Order algorithm for the Cahn-Hilliard problem in mixed form. The space discretization hinges on local reconstruction operators…
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…
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…
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…