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 …
surface wave propagation, known as Boussinesq-type models (BTMs), is reviewed. This …
A reasoned overview on Boussinesq-type models: the interplay between physics, mathematics and numerics
M Brocchini - Proceedings of the Royal Society A …, 2013 - royalsocietypublishing.org
This paper, which is largely the fruit of an invited talk on the topic at the latest International
Conference on Coastal Engineering, describes the state of the art of modelling by means of …
Conference on Coastal Engineering, describes the state of the art of modelling by means of …
A new level set numerical wave tank with improved density interpolation for complex wave hydrodynamics
A new three-dimensional numerical wave tank is developed for the calculation of wave
propagation and wave hydrodynamics by solving the incompressible Navier–Stokes …
propagation and wave hydrodynamics by solving the incompressible Navier–Stokes …
[图书][B] Rogue waves in the ocean
C Kharif, E Pelinovsky, A Slunyaev - 2008 - books.google.com
“It came from nowhere, snapping giant ships in two. No one believed the survivors... until
now”—New Scientist magazine cover, June 30, 2001 Rogue waves are the focus of this …
now”—New Scientist magazine cover, June 30, 2001 Rogue waves are the focus of this …
On the solitary wave paradigm for tsunamis
PA Madsen, DR Fuhrman… - Journal of Geophysical …, 2008 - Wiley Online Library
Since the 1970s, solitary waves have commonly been used to model tsunamis especially in
experimental and mathematical studies. Unfortunately, the link to geophysical scales is not …
experimental and mathematical studies. Unfortunately, the link to geophysical scales is not …
Bifurcation solitons and breathers for the nonlocal Boussinesq equations
YL Ma, BQ Li - Applied Mathematics Letters, 2022 - Elsevier
Abstract The nonlocal Boussinesq equations (NLBEs) are investigated in this work. The
general forms of soliton solutions of the equations are firstly derived via Hirota bilinear …
general forms of soliton solutions of the equations are firstly derived via Hirota bilinear …
Two new types of nonlocal Boussinesq equations in water waves: bright and dark soliton solutions
In this work, we develop two new types of (1+ 1)-dimensional nonlocal Boussinesq
equations to represent more situations in complex water waves. By applying ansatz method …
equations to represent more situations in complex water waves. By applying ansatz method …
Formation of rogue waves and modulational instability with zero-wavenumber gain in multicomponent systems with coherent coupling
L Liu, WR Sun, BA Malomed - Physical Review Letters, 2023 - APS
It is known that rogue waves (RWs) are generated by the modulational instability (MI) of the
baseband type. Starting with the Bers-Kaup-Reiman system for three-wave resonant …
baseband type. Starting with the Bers-Kaup-Reiman system for three-wave resonant …
A two-layer approach to wave modelling
A set of model equations for water–wave propagation is derived by piecewise integration of
the primitive equations of motion through two arbitrary layers. Within each layer, an …
the primitive equations of motion through two arbitrary layers. Within each layer, an …
Boussinesq-type formulations for fully nonlinear and extremely dispersive water waves: derivation and analysis
PA Madsen, HB Bingham… - Proceedings of the …, 2003 - royalsocietypublishing.org
Boussinesq formulations valid for highly dispersive and highly nonlinear water waves are
derived with the objective of improving the accuracy of the vertical variation of the velocity …
derived with the objective of improving the accuracy of the vertical variation of the velocity …