Recent advances in Serre–Green Naghdi modelling for wave transformation, breaking and runup processes

P Bonneton, E Barthélemy, F Chazel… - European Journal of …, 2011 - Elsevier
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 of …

On wave breaking for Boussinesq-type models

M Kazolea, M Ricchiuto - Ocean Modelling, 2018 - Elsevier
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 …

A quadtree-adaptive multigrid solver for the Serre–Green–Naghdi equations

S Popinet - Journal of Computational Physics, 2015 - Elsevier
Abstract The Serre–Green–Naghdi (SGN) equations, also known as the fully-nonlinear
Boussinesq wave equations, accurately describe the behaviour of dispersive shoaling water …

A new approach to handle wave breaking in fully non-linear Boussinesq models

M Tissier, P Bonneton, F Marche, F Chazel… - Coastal Engineering, 2012 - Elsevier
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 …

A new class of fully nonlinear and weakly dispersive Green–Naghdi models for efficient 2D simulations

D Lannes, F Marche - Journal of Computational Physics, 2015 - Elsevier
We introduce a new class of two-dimensional fully nonlinear and weakly dispersive Green–
Naghdi equations over varying topography. These new Green–Naghdi systems share the …

Numerical treatment of wave breaking on unstructured finite volume approximations for extended Boussinesq-type equations

M Kazolea, AI Delis, CE Synolakis - Journal of computational Physics, 2014 - Elsevier
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 …

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

F Chazel, D Lannes, F Marche - Journal of Scientific Computing, 2011 - Springer
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 …

On the dynamics of floating structures

D Lannes - Annals of PDE, 2017 - Springer
This paper addresses the floating body problem which consists in studying the interaction of
surface water waves with a floating body. We propose a new formulation of the water waves …

The VOLNA code for the numerical modeling of tsunami waves: Generation, propagation and inundation

D Dutykh, R Poncet, F Dias - European Journal of Mechanics-B/Fluids, 2011 - Elsevier
A novel tool for tsunami wave modeling is presented. This tool has the potential of being
used for operational purposes: indeed, the numerical code VOLNA is able to handle the …

Future reef growth can mitigate physical impacts of sea‐level rise on atoll islands

E Beetham, PS Kench, S Popinet - Earth's Future, 2017 - Wiley Online Library
We present new detail on how future sea‐level rise (SLR) will modify nonlinear wave
transformation processes, shoreline wave energy, and wave driven flooding on atoll islands …