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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…

While the propagation of tsunamis is well understood and well simulated by numerical models, there are still a number of unanswered questions related to the generation of tsunamis or the subsequent inundation. We review some of the basic…

Atmospheric and Oceanic Physics · Physics 2020-02-20 Frédéric Dias , Denys Dutykh , Laura O'Brien , Emiliano Renzi , Themistoklis Stefanakis

The present article is devoted to the influence of sediment layers on the process of tsunami generation. The main scope here is to demonstrate and especially quantify the effect of sedimentation on vertical displacements of the seabed due…

Geophysics · Physics 2020-02-20 Denys Dutykh , Frédéric Dias

The computation of long wave propagation through the ocean obviously depends on the initial condition. When the waves are generated by a moving bottom, a traditional approach consists in translating the ``frozen'' sea bed deformation to the…

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

The life of a tsunami is usually divided into three phases: the generation (tsunami source), the propagation and the inundation. Each phase is complex and often described separately. A brief description of each phase is given. Model…

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

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

The main reason for the generation of tsunamis is the deformation of the bottom of the ocean caused by an underwater earthquake. Usually, only the vertical bottom motion is taken into account while the horizontal co-seismic displacements…

Classical Physics · Physics 2020-01-09 Denys Dutykh , Dimitrios Mitsotakis , Leonid Chubarov , Yuriy Shokin

The present study is devoted to the problem of tsunami wave generation. The main goal of this work is two-fold. First of all, we propose a simple and computationally inexpensive model for the description of the sea bed displacement during…

Atmospheric and Oceanic Physics · Physics 2020-01-13 Denys Dutykh , Dimitrios Mitsotakis , Xavier Gardeil , Frédéric Dias

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

In this article, we present a predictive model for the amplitude of impulse waves generated by the collapse of a granular column into a water layer. The model, which combines the spreading dynamics of the grains and the wave hydrodynamics…

Fluid Dynamics · Physics 2022-09-08 Wladimir Sarlin , Cyprien Morize , Alban Sauret , Philippe Gondret

In the vast literature on tsunami research, few articles have been devoted to energy issues. A theoretical investigation on the energy of waves generated by bottom motion is performed here. We start with the full incompressible Euler…

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

In classical tsunami-generation techniques, one neglects the dynamic sea bed displacement resulting from fracturing of a seismic fault. The present study takes into account these dynamic effects. Earth's crust is assumed to be a…

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

In this work we study the generation of water waves by an underwater sliding mass. The wave dynamics are assumed to fell into the shallow water regime. However, the characteristic wavelength of the free surface motion is generally smaller…

Geophysics · Physics 2020-02-20 Denys Dutykh , Dimitrios Mitsotakis , Sonya Beysel , Nina Shokina

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…

We present a novel numerical method for simulating the generation and propagation of surface gravity waves by vertical seabed displacements. The cornerstone of our method is the computation of a time dependent conformal map which…

The estimate of individual wave run-up is especially important for tsunami warning and risk assessment as it allows to evaluate the inundation area. Here as a model of tsunami we use the long single wave of positive polarity. The period of…

Fluid Dynamics · Physics 2020-02-20 Ahmed Abdalazeez , Ira Didenkulova , Denys Dutykh

We formulate a depth-averaged non-hydrostatic model to solve wave equations with generation by a moving bottom. This model is built upon the shallow water equations, which are widely used in tsunami wave modelling. An extension leads to two…

Numerical Analysis · Mathematics 2025-03-11 Kemal Firdaus , Jörn Behrens

A fully nonlinear, three-dimensional numerical model is developed for the simulation of tidal flow over arbitrary bottom topography in an ocean with realistic stratification. The model is capable of simulating accurately the generation of…

Fluid Dynamics · Physics 2014-10-09 Laura K. Brandt , James W. Rottman , Kyle A. Brucker , Douglas G. Dommermuth

Recent scientific studies have suggested that, in certain physical configurations, the time-dependent behavior of earthquake rupture and seafloor (bathymetry) motion can leave observable near-field signatures in tsunami wave generation and…

Numerical Analysis · Mathematics 2025-08-29 Thomas Melkior , Harsha S Bhat , Faisal Amlani

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
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