Development and validation of a non-linear spectral model for water waves over variable depth

M Gouin, G Ducrozet, P Ferrant - European Journal of Mechanics-B/Fluids, 2016 - Elsevier
In the present paper two numerical schemes for propagating waves over a variable
bathymetry in an existing High-Order Spectral (HOS) model are introduced. The first scheme …

A Whitham–Boussinesq long-wave model for variable topography

RM Vargas-Magana, P Panayotaros - Wave Motion, 2016 - Elsevier
We study the propagation of water waves in a channel of variable depth using the long-wave
asymptotic regime. We use the Hamiltonian formulation of the problem in which the non …

Modélisation déterministe d'états de mer à grande échelle en profondeur variable

M Gouin - 2016 - hal.science
La thèse a pour objectif le développement d'une méthode numérique permettant la
simulation déterministe d'états de mer à grande échelle dans des zones géographiques où …

Linear Whitham-Boussinesq modes in channels of constant cross-section

RM Vargas-Magaña, P Panayotaros… - arXiv preprint arXiv …, 2018 - arxiv.org
We study normal modes for the linear water wave problem in infinite straight channels of
bounded constant cross-section. Our goal is to compare semianalytic normal mode solutions …

Linear modes for channels of constant cross-section and approximate Dirichlet–Neumann operators

RM Vargas-Magaña, P Panayotaros, AA Minzoni - Water Waves, 2019 - Springer
We study normal modes for the linear water wave problem in infinite straight channels of
bounded constant cross-section. Our goal is to compare semi-analytic normal mode …

Linear guided modes and Whitham-Boussinesq model for variable topogra

RM Vargas-Magaña, AA Minzoni… - arXiv preprint arXiv …, 2017 - arxiv.org
In this article we study two classical linear water wave problems, i) normal modes of infinite
straight channels of bounded constant cross-section, and ii) trapped longitudinal modes in …