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 …

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

P Bonneton, F Chazel, D Lannes, F Marche… - Journal of Computational …, 2011 - Elsevier
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 …

Importance of second-order wave generation for focused wave group run-up and overtopping

J Orszaghova, PH Taylor, AGL Borthwick, AC Raby - Coastal Engineering, 2014 - Elsevier
Background Focused wave groups offer a means for coastal engineers to determine
extreme run-up and overtopping events. Research purpose This work examines numerically …

[HTML][HTML] Modelling of mobility of Rissa landslide and following tsunami

Z Liu, JS L'heureux, S Glimsdal, S Lacasse - Computers and Geotechnics, 2021 - Elsevier
Landslides in sensitive clays pose a major threat to life, property and the environment. The
lack of warning signs and the extreme mobility of quick clays increase the risk. When …

A Boussinesq type extension of the GeoClaw model-a study of wave breaking phenomena applying dispersive long wave models

J Kim, GK Pedersen, F Løvholt, RJ LeVeque - Coastal engineering, 2017 - Elsevier
The nonlinear shallow water model is widely used in the study of tsunami propagation, but
an increasing number of studies are dedicated to the dispersion dynamics of tsunamis. If the …

Nearshore coastal flow processes using weighted-averaged equations

FN Cantero-Chinchilla, RJ Bergillos, O Castro-Orgaz - Ocean Engineering, 2020 - Elsevier
This work uses the weighted residual method to simulate non-hydrostatic flows in ocean and
coastal areas in a vertically-averaged framework. A Vertically-Averaged and Moment …

Nearshore dynamics of tsunami-like undular bores using a fully nonlinear Boussinesq model

M Tissier, P Bonneton, F Marche, F Chazel… - Journal of Coastal …, 2011 - JSTOR
When tsunami wave fronts reach the shore, they can evolve into a large range of bore types,
from undular non-breaking bore to purely breaking bore. It is the complex competition …

Coupling methods of phase-resolving coastal wave models

J Galaz - 2024 - inria.hal.science
This thesis investigates the coupling of coastal phase-resolving water wave models,
commonly employed in the study of nearshore wave propagation. Despite numerous models …

Solving the fully nonlinear weakly dispersive Serre equations for flows over dry beds

JPA Pitt, C Zoppou, SG Roberts - International Journal for …, 2021 - Wiley Online Library
We describe a numerical method for solving the Serre equations that can simulate flows
over dry bathymetry. The method solves the Serre equations in conservation law form with a …

The Numerical Simulation of the Wave Propagation Based on a New Type GN Theory

Y Fan, W Hongchuan, Z Qihua - … Conference on Asian and Pacific Coasts, 2023 - Springer
Green–Naghdi wave theory, abbreviated as GN theory, is a fully nonlinear wave theory. Its
idea is similar with traditional perturbation method while includes some difference on details …