Boussinesq models and their application to coastal processes across a wide range of scales

JT Kirby - Journal of Waterway, Port, Coastal, and Ocean …, 2016 - ascelibrary.org
In this paper, the development of a class of depth-integrated, phase-resolving models for
surface wave propagation, known as Boussinesq-type models (BTMs), is reviewed. This …

Hurricane damage classification methodology and fragility functions derived from Hurricane Sandy's effects in coastal New Jersey

T Tomiczek, A Kennedy, Y Zhang… - Journal of Waterway …, 2017 - ascelibrary.org
Regional-scale and local damage surveys of the US Mid-Atlantic coast were performed after
Hurricane Sandy in 2012. A satellite-based analysis of over 15,000 houses within one block …

Observations and modeling of coastal boulder transport and loading during Super Typhoon Haiyan

AB Kennedy, N Mori, Y Zhang, T Yasuda… - Coastal Engineering …, 2016 - World Scientific
Boulders numbering in the high hundreds/low thousands, and with masses up to∼ 30
tonnes, were transported onshore by Super Typhoon Haiyan in Calicoan Island, Philippines …

Fully nonlinear long-wave models in the presence of vorticity

A Castro, D Lannes - Journal of Fluid Mechanics, 2014 - cambridge.org
We study here Green–Naghdi type equations (also called fully nonlinear Boussinesq, or
Serre equations) modelling the propagation of large-amplitude waves in shallow water …

Dispersive shallow water wave modelling. Part II: Numerical simulation on a globally flat space

G Khakimzyanov, D Dutykh, O Gusev… - arxiv preprint arxiv …, 2017 - arxiv.org
In this paper, we describe a numerical method to solve numerically the weakly dispersive
fully nonlinear Serre-Green-Naghdi (SGN) celebrated model. Namely, our scheme is based …

Variational models for nonhydrostatic free-surface flow: A unified outlook to maritime and open-channel hydraulics developments

O Castro-Orgaz, WH Hager… - Journal of Hydraulic …, 2023 - ascelibrary.org
The computation of three-dimensional unsteady non-hydrostatic flows over large domains
and/or for long simulation times is frequently conducted in research and practice using …

On the Galerkin/finite-element method for the Serre equations

D Mitsotakis, B Ilan, D Dutykh - Journal of Scientific Computing, 2014 - Springer
A highly accurate numerical scheme is presented for the Serre system of partial differential
equations, which models the propagation of dispersive shallow water waves in the fully …

Dispersive shallow water waves

G Khakimzyanov, D Dutykh, Z Fedotova… - Lecture Notes in …, 2020 - Springer
The present book is entirely devoted to the development of mathematical models and
numerical algorithms to simulate the generation and propagation of long surface water …

Depth‐averaged non‐hydrostatic extension for shallow water equations with quadratic vertical pressure profile: equivalence to Boussinesq‐type equations

A Jeschke, GK Pedersen, S Vater… - International Journal for …, 2017 - Wiley Online Library
We reformulate the depth‐averaged non‐hydrostatic extension for shallow water equations
to show equivalence with well‐known Boussinesq‐type equations. For this purpose, we …

On some solitary and cnoidal wave diffraction solutions of the Green–Naghdi equations

RC Ertekin, M Hayatdavoodi, JW Kim - Applied Ocean Research, 2014 - Elsevier
Nonlinear waves of the solitary and cnoidal types are studied in constant and variable water
depths by use of the Irrotational Green–Naghdi (IGN) equations of different levels and the …