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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

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

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 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

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 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

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 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…

Considered here are Boussinesq systems of equations of surface water wave theory over a variable bottom. A simplified such Boussinesq system is derived and solved numerically by the standard Galerkin-finite element method. We study by…

Fluid Dynamics · Physics 2009-09-15 Dimitrios Mitsotakis

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

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

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…

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 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

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

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

We investigate the potential and limitations of the wave generation by disturbances moving at the bottom. More precisely, we assume that the wavemaker is composed of an underwater object of a given shape which can be displaced according to…

Classical Physics · Physics 2019-12-16 Hayk Nersisyan , Denys Dutykh , Enrique Zuazua

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 causes of 2018 Palu bay (Indonesia) tsunami are still not entirely clear. There is still an ongoing debate on whether the main cause of the tsunami waves observed was a significant co-seismic tectonic event which occurred underwater or…

Geophysics · Physics 2021-05-18 Pablo Higuera , Ignacio Sepulveda , Philip L. -F. Liu

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
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