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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

Tsunamis are often generated by a moving sea bottom. This paper deals with the case where the tsunami source is an earthquake. The linearized water-wave equations are solved analytically for various sea bottom motions. Numerical results…

Atmospheric and Oceanic Physics · Physics 2020-02-20 Denys Dutykh , Frédéric Dias

This paper addresses deep-water gravity waves of finite amplitude generated by an initial disturbance to the water. It is assumed that the horizontal dimensions of the initially disturbed body of the water are much larger than the magnitude…

Atmospheric and Oceanic Physics · Physics 2014-08-20 Ilia M. Mindlin

We report laboratory experiments on surface waves generated in a uniform fluid layer whose bottom undergoes a sudden upward motion. Simultaneous measurements of the free-surface deformation and the fluid velocity field are focused on the…

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

A plethora of studies in the past decade describe tsunami hazards and study their evolution from the source to the target coastline, but mainly focus on coastal inundation and maximum runup. Nonetheless, anecdotal reports from eyewitnesses,…

Geophysics · Physics 2016-11-15 Roberto Marivela , Robert Weiss , Costas Synolakis

The generation of a tsunami wave by an aerial landslide is investigated through model laboratory experiments. We examine the collapse of an initially dry column of grains into a shallow water layer and the subsequent generation of waves.…

Fluid Dynamics · Physics 2020-11-19 M. Robbe-Saule , C. Morize , R. Henaff , Y. Bertho , A. Sauret , P. Gondret

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

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 majority of coastal flows are characterized by turbulence, rendering the application of shallow water equations an inadequate approach for their accurate description. This paper presents a theory for characterizing accelerated coastal…

Fluid Dynamics · Physics 2024-09-19 Arno Roland Ndengna Ngatcha

We study the propagation of two-dimensional tsunami waves triggered by a seaquake in the open sea in the presence of underlying wind-generated currents, corresponding to background flows of constant vorticity. A suitable scaling of the…

Analysis of PDEs · Mathematics 2023-02-15 Frederick Moscatelli

In the present study a mathematical model of long-crested water waves propagating mainly in one direction with the effect of Earth's rotation is derived by following the formal asymptotic procedures. Such a model equation is analogous to…

Analysis of PDEs · Mathematics 2019-05-01 Guilong Gui , Yue Liu , Junwei Sun

The problem of submarine sediment slide which generates the surface water waves is considered. To simulate numerically the landslide motion it is used the method which permits to take into account detailed rheological properties of slide…

The modeling of tsunami generation is an essential phase in understanding tsunamis. For tsunamis generated by underwater earthquakes, it involves the modeling of the sea bottom motion as well as the resulting motion of the water above it. A…

Fluid Dynamics · Physics 2020-02-20 Youen Kervella , Denys Dutykh , Frédéric Dias

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

Nonlinear initial-boundary value problem on deep-water gravity waves of finite amplitude is solved approximately (up to small terms of higher order) assuming that the waves are generated by an initial disturbance to the water and the…

Atmospheric and Oceanic Physics · Physics 2014-06-09 I. M. Mindlin

This paper deals with the dead-water phenomenon, which occurs when a ship sails in a stratified fluid, and experiences an important drag due to waves below the surface. More generally, we study the generation of internal waves by a…

Analysis of PDEs · Mathematics 2021-11-18 Vincent Duchene

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…

In this paper, we use the approximation of shallow water waves (Margaritondo G 2005 Eur. J. Phys. 26 401) to understand the behaviour of a tsunami in a variable depth. We deduce the shallow water wave equation and the continuity equation…

Physics Education · Physics 2009-11-11 O. Helene , M. T. Yamashita

In this Letter, we experimentally investigate the collapse of initially dry granular media into water and the subsequent impulse waves. We systematically characterize the influence of the slope angle and the granular material on the initial…

Fluid Dynamics · Physics 2014-02-28 Sylvain Viroulet , Alban Sauret , Olivier Kimmoun
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