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Employing a linear shallow water equation (LSWE) model in the spherical coordinates, this paper investigates the tsunami waves generated by the atmospheric pressure shock waves due to the explosion of the submarine volcano Hunga Tonga-Hunga…

大气与海洋物理 · 物理学 2023-05-10 Zhiyuan Ren , Pablo Higuera , Philip Li-Fan Liu

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…

大气与海洋物理 · 物理学 2020-02-20 Denys Dutykh , Frédéric Dias

A laminar flow of a thin layer of mud down an inclined plane under the action of gravity is considered. The instability of a film flow and the formation of finite amplitude waves are studied in the framework of both two-dimensional…

流体动力学 · 物理学 2021-03-01 Alexander Chesnokov

The coupled motion is investigated for a mechanical system consisting of water and a body freely floating in it. Water occupies either a half-space or a layer of constant depth into which an infinitely long surface-piercing cylinder is…

数学物理 · 物理学 2015-03-10 Nikolay Kuznetsov

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…

偏微分方程分析 · 数学 2021-11-18 Vincent Duchene

Following a recent demonstration of stable trapping of floating particles by stationary (monochromatic) structured water waves [Nature 638, 394 (2025)], we report dynamic water-wave tweezers that enable controllable transport of trapped…

Standing slow-mode waves have been recently observed in flaring loops by the Atmospheric Imaging Assembly (AIA) of the Solar Dynamics Observatory (SDO). By means of the coronal seismology technique transport coefficients in hot ($\sim$10…

太阳与恒星天体物理 · 物理学 2018-07-04 Tongjiang Wang , Leon Ofman , Xudong Sun , Sami K Solanki , Joseph M Davila

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…

大气与海洋物理 · 物理学 2014-08-20 Ilia M. Mindlin

We obtain a general solution for the water waves resulting from a general, time-dependent surface pressure distribution, in the presence of a shear current of uniform vorticity beneath the surface, in three dimensions. Linearized governing…

流体动力学 · 物理学 2015-11-10 Yan Li , Simen Å. Ellingsen

The floating structure problem describes the interaction between surface water waves and a floating body, generally a boat or a wave energy converter. As shown by Lannes in [18] the equations for the fluid motion can be reduced to a set of…

偏微分方程分析 · 数学 2019-10-22 Edoardo Bocchi

We consider the propagation of a shock wave (SW) in the damped Toda lattice. The SW is a moving boundary between two semi-infinite lattice domains with different densities. A steadily moving SW may exist if the damping in the lattice is…

solv-int · 物理学 2016-09-08 J. Hietarinta , T. Kuusela , B. Malomed

We study the coupled small-amplitude motion of the mechanical system consisting of infinitely deep water and a structure immersed in it. The former is bounded above by a free surface, whereas the latter is formed by an arbitrary finite…

数学物理 · 物理学 2014-10-23 Nikolay Kuznetsov , Oleg Motygin

We derive the dynamics of magnetohydrodynamic waves in two-fluid partially ionized plasmas and to compare the results with those obtained under single-fluid description. Two-fluid magnetohydrodynamic equations are used, where ion-electron…

太阳与恒星天体物理 · 物理学 2015-05-27 T. V. Zaqarashvili , M. K. Khodachenko , H. O. Rucker

In this paper, we want to understand the Proudman resonance. It is a resonant respond in shallow waters of a water body on a traveling atmospheric disturbance when the speed of the disturbance is close to the typical water wave velocity. We…

偏微分方程分析 · 数学 2016-09-28 Benjamin Melinand

By providing mathematical estimates, this paper answers a fundamental question -- "what leads to Stokes drift"? Although overwhelmingly understood for water waves, Stokes drift is a generic mechanism that stems from kinematics and occurs in…

流体动力学 · 物理学 2024-02-27 Anirban Guha , Akanksha Gupta

Two-dimensional potential flows of an ideal fluid with a free surface are considered in situations when shape of the bottom depends on time due to external reasons. Exact nonlinear equations describing surface waves in terms of the so…

流体动力学 · 物理学 2009-11-10 V. P. Ruban

We study the propagation of monochromatic surface waves on a turbulent flow. The flow is generated in a layer of liquid metal by an electromagnetic forcing. This forcing creates a quasi two-dimensional (2D) turbulence with strong vertical…

流体动力学 · 物理学 2015-11-19 Pablo Gutiérrez , Sébastien Aumaitre

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…

流体动力学 · 物理学 2014-04-02 Timothée Jamin , Leonardo Gordillo , Gerardo Ruiz-Chavarría , Michael Berhanu , Eric Falcon

We investigate a hydrodynamic equation system which - with some approximation - is capable to describe the tsunami propagation in the open ocean with the time-dependent self-similar Ansatz. We found analytic solutions how the wave height…

可精确求解与可积系统 · 物理学 2022-07-05 I. F. Barna , M. A. Pocsai , L. Mátyás

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…

流体动力学 · 物理学 2025-09-30 Ravindra Pethiyagoda , Santu Das , Michael H. Meylan
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