Implementation of a fully nonlinear Hamiltonian Coupled-Mode Theory, and application to solitary wave problems over bathymetry

CE Papoutsellis, AG Charalampopoulos… - European Journal of …, 2018 - Elsevier
This paper deals with the implementation of a new, efficient, non-perturbative, Hamiltonian
coupled-mode theory (HCMT) for the fully nonlinear, potential flow (NLPF) model of water …

Many models for water waves

V Duchêne - arXiv preprint arXiv:2203.11340, 2022 - arxiv.org
This document is an announcement and preview of a memoir whose full version is available
on the Open Math Notes repository of the American Mathematical Society (OMN …

Modelling of depth-induced wave breaking in a fully nonlinear free-surface potential flow model

CE Papoutsellis, ML Yates, B Simon, M Benoit - Coastal Engineering, 2019 - Elsevier
Two methods to treat wave breaking in the framework of the Hamiltonian formulation of free-
surface potential flow are presented, tested, and validated. The first is an extension of …

Hamiltonian variational formulation of three-dimensional, rotational free-surface flows, with a moving seabed, in the Eulerian description

CP Mavroeidis, GA Athanassoulis - Fluids, 2022 - mdpi.com
Hamiltonian variational principles have provided, since the 1960s, the means of developing
very successful wave theories for nonlinear free-surface flows, under the assumption of …

Semi-explicit solutions to the water-wave dispersion relation and their role in the non-linear Hamiltonian coupled-mode theory

TK Papathanasiou, CE Papoutsellis… - Journal of Engineering …, 2019 - Springer
The Hamiltonian coupled-mode theory (HCMT), recently derived by Athanassoulis and
Papoutsellis [Proceeding of 34th International Conference on Ocean Offshore Arctic …

[PDF][PDF] A Hamiltonian coupled mode method for the fully nonlinear water wave problem, including the case of a moving seabed

AT Charalampopoulos - 2016 - dspace.lib.ntua.gr
Over the last few decades, the study of water waves is becoming relevant for more
applications, surpassing their traditional study regarding ships and coastal structures and …

[PDF][PDF] Variational & asymptotic methods in the study of nonlinear, free-surface waves

K Mavroeidis - 2019 - dspace.lib.ntua.gr
In the present thesis, we investigate the application of certain asymptotic and variational
methods to the classical water-wave problem, when the assumptions of weak nonlinearity …