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The problem of the sea wave runup on a beach is discussed in the framework of the rigorous solutions of the nonlinear shallow-water theory. Key and novel moment here is the accounting of the asymmetric waves when the face slope steepness…

Pattern Formation and Solitons · Physics 2009-11-11 I. Didenkulova , N. Zahibo , A. Kurkin , B. Levin , E. Pelinovsky , T. Soomere

The description of gravity waves propagating on the water surface is considered from a historical point of view, with specific emphasis on the development of a theoretical framework and equations of motion for long waves in shallow water.…

Fluid Dynamics · Physics 2022-03-30 Tomas Torsvik , Ahmed Abdalazeez , Denys Dutykh , Petr Denissenko , Ira Didenkulova

The problem of tsunami wave shoaling and runup in U-shaped bays (such as fjords) and underwater canyons is studied in the framework of shallow water theory. The wave shoaling in bays, when the depth varies smoothly along the channel axis,…

Atmospheric and Oceanic Physics · Physics 2015-05-18 Ira Didenkulova , Efim Pelinovsky

The problem of the long wave runup on a beach is discussed in the framework of the rigorous solutions of the nonlinear shallow-water theory. The key and novel moment here is the analysis of the runup of a certain class of asymmetric waves,…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Irina Didenkulova , Efim Pelinovsky , Tarmo Soomere , Narcisse Zahibo

Rogue wave formation and enhancement over coastal areas have been documented over the last decade. However, this recent knowledge is in apparent contradiction with the established observation of sub-Gaussian wave statistics near shallow…

Fluid Dynamics · Physics 2025-02-07 Saulo Mendes , Yuchen He , Jérôme Kasparian , Amin Chabchoub

This paper addresses long waves on the water surface. It is assumed that initially the water surface has not yet been displaced from its mean level, but the velocity field has already become different from zero. This means that the motion…

Atmospheric and Oceanic Physics · Physics 2018-09-05 Ilia Mindlin

We present a study of sound wave propagation in a time dependent random medium and an application to imaging. The medium is modeled by small temporal and spatial random fluctuations in the wave speed and density, and it moves due to an…

Analysis of PDEs · Mathematics 2018-06-19 Liliana Borcea , Josselin Garnier , Knut Solna

Internal waves propagate on the ocean's stratification, carrying energy and redistributing momentum through the ocean. When internal waves break, they contribute to diapycnal mixing in the ocean interior, but this breaking behaviour depends…

Atmospheric and Oceanic Physics · Physics 2025-07-31 Ashley J. Barnes , Callum J. Shakespeare , Andy McC. Hogg , Navid C. Constantinou

The surface gravity wave evolution, imitating tsunamis triggered by the ocean floor's arbitrary temporal motion over a generic seafloor topography, is investigated using the linearised water wave theory of a compressible ocean. The…

Fluid Dynamics · Physics 2025-09-30 Ravindra Pethiyagoda , Santu Das , Michael H. Meylan

Motivated by the discrepancy between satellite observations of coherent westward propagating surface features and Rossby wave theory, this paper revisits the planetary wave propagation problem, taking into account the effects of lateral…

Atmospheric and Oceanic Physics · Physics 2014-08-01 Xiao Xiao , K. Shafer Smith , Shane R. Keating

Turbulent water motions are important for the exchange of momentum, heat, nutrients, and suspended matter including sediments in the deep-sea that is generally stably stratified in density. To maintain ocean-density stratification, an…

Atmospheric and Oceanic Physics · Physics 2024-08-14 Hans van Haren , Henk de Haas

The evolution of surface gravity waves is driven by nonlinear interactions that trigger an energy cascade similarly to the one observed in hydrodynamic turbulence. This process, known as wave turbulence, has been found to display anomalous…

The effects of a submarine canyon on the propagation of ocean surface waves are examined with a three-dimensional coupled-mode model for wave propagation over steep topography. Whereas the classical geometrical optics approximation predicts…

Atmospheric and Oceanic Physics · Physics 2015-06-26 Rudy Magne , Kostas Belibassakis , Thomas H. C. Herbers , Fabrice Ardhuin , William C. O'Reilly , Vincent Rey

A new model other than the classical ones given by Airy, Stokes and Gerstner for the ocean surface wave is constructed. It leads to new understandings for the wave mechanisms: (1) A wave with bigger amplitude or smaller steepness travels…

General Physics · Physics 2017-05-16 Jin-Liang Wang

The evolution of breaking waves propagating towards the shore and more specifically the run-up phase over the swash-zone for surface as well as for internal waves is considered. The study is based on a) laboratory run up experiments for…

Classical Physics · Physics 2008-02-01 Hubert Branger , Olivier Kimmoun , N. Gavrilov , Valery Liapidevskii , E. Pavlova

Nonlinear wave run-up on the beach caused by harmonic wave maker located at some distance from the shore line is studied experimentally. It is revealed that under certain wave excitation frequencies a significant increase in run-up…

Atmospheric and Oceanic Physics · Physics 2015-06-05 Alexander Ezersky , Nizar Abcha , Efim Pelinovsky

Several acoustic experiments show a surprising degree of stability in wave fronts propagating over multi-megameter ranges through the ocean's sound channel despite the presence of random-like, sound speed fluctuations. Previous works have…

Chaotic Dynamics · Physics 2009-10-31 M. A. Wolfson , S. Tomsovic

The problem of tsunami wave run-up on a beach is discussed in the framework of the rigorous solutions of the nonlinear shallow-water theory. We present an analysis of the run-up characteristics for various shapes of the incoming symmetrical…

Atmospheric and Oceanic Physics · Physics 2009-11-13 Ira Didenkulova , Efim Pelinovsky , Tarmo Soomere

The runup of tsunami waves on the coasts of the barrow bays, channels and straits is studied in the framework of the nonlinear shallow water theory. Using the narrowness of the water channel, the one-dimensional equations are applied; they…

Exactly Solvable and Integrable Systems · Physics 2016-09-08 Narcisse Zahibo , Efim Pelinovsky , Vladimir Golinko , Nataly Osipenko

Wave impact and run-up onto vertical obstacles are among the most important phenomena which must be taken into account in the design of coastal structures. From linear wave theory, we know that the wave amplitude on a vertical wall is twice…

Classical Physics · Physics 2020-05-26 Francesco Carbone , Denys Dutykh , John M. Dudley , Frédéric Dias
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