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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

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 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 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 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

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

Given a distribution of earthquake-induced seafloor elevations, we present a method to compute the probability of the resulting tsunamis reaching a certain size on shore. Instead of sampling, the proposed method relies on optimization to…

Geophysics · Physics 2023-07-05 Shanyin Tong , Eric Vanden-Eijnden , Georg Stadler

We consider a tsunami wave equation with singular coefficients and prove that it has a very weak solution. Moreover, we show the uniqueness results and consistency theorem of the very weak solution with the classical one in some appropriate…

Analysis of PDEs · Mathematics 2020-05-26 Arshyn Altybay , Michael Ruzhansky , Mohammed Elamine Sebih , Niyaz Tokmagambetov

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 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

This paper examines the questions of whether smaller asteroids that burst in the air over water can generate tsunamis that could pose a threat to distant locations. Such air burst-generated tsunamis are qualitatively different than the more…

Fluid Dynamics · Physics 2018-01-17 Marsha Berger , Jonathan Goodman

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

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

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

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

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

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…

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

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 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
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