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In the present article we consider the problem of wave interaction with a partially immersed, but floating body. We assume that the motion of the body is prescribed. The general mathematical formulation for this problem is presented in the…

经典物理 · 物理学 2020-02-20 Gayaz Khakimzyanov , Denys Dutykh

This paper describes the results from a numerical estimation of the force exerted by long surface waves on a fixed and partially immersed rectangular structure. The topic is connected with the need of making decisions on the design,…

流体动力学 · 物理学 2021-01-22 Oleg Gusev , Gayaz Khakimzyanov , Leonid Chubarov

A model for the wave motion of an internal wave in the presence of current in the case of intermediate long wave approximation is studied. The lower layer is considerably deeper, with a higher density than the upper layer. The flat surface…

流体动力学 · 物理学 2024-06-04 Joseph Cullen , Rossen Ivanov

A model for internal interfacial waves between two layers of fluid in the presence of current and variable bottom is studied in the flat-surface approximation. Fluids are assumed to be incompressible and inviscid. Another assumption is that…

斑图形成与孤子 · 物理学 2025-07-08 Rossen Ivanov , Lyudmila Ivanova

In this paper we address a particular fluid-solid interaction problem in which the solid object is lying at the bottom of a layer of fluid and moves under the forces created by waves travelling on the surface of this layer. More precisely,…

偏微分方程分析 · 数学 2018-05-03 Krisztian Benyo

We consider a control system describing the interaction of water waves with a partially immersed rigid body constraint to move only in the vertical direction. The fluid is modeled by the shallow water equations. The control signal is a…

偏微分方程分析 · 数学 2021-08-12 Pei Su , Marius Tucsnak

Using numerical modeling investigated interaction of solitary waves (solitons) of the regularized long wave equation. For reception the stable model of the nonlinear medium are used methods of the linear prediction and progressive…

斑图形成与孤子 · 物理学 2007-05-23 Yu. A. Bunyak

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

This paper addresses the floating body problem which consists in studying the interaction of surface water waves with a floating body. We propose a new formulation of the water waves problem that can easily be generalized in order to take…

偏微分方程分析 · 数学 2016-09-21 David Lannes

In this paper, we study the motion of the free surface of a body of fluid over a variable bottom, in a long wave asymptotic regime. We assume that the bottom of the fluid region can be described by a stationary random process $\beta(x,…

偏微分方程分析 · 数学 2009-11-13 Anne de Bouard , Walter Craig , Oliver Díaz-Espinosa , Philippe Guyenne , Catherine Sulem

We presented numerical simulation of long waves, interacting with arrays of emergent cylinders inside regularly spaced patches, representing discontinues patchy coastal vegetation. We employed the fully nonlinear and weakly dispersive…

地球物理 · 物理学 2016-10-04 Amir Zainali , Roberto Marivela , Robert Weiss , Jennifer L. Irish , Yongqian Yang

This work is directed towards investigating the fate of three-dimensional long perturbation waves in a plane incompressible wake. The analysis is posed as an initial-value problem in space. More specifically, input is made at an initial…

流体动力学 · 物理学 2015-03-13 S. Scarsoglio , D. Tordella , W. O. Criminale

A parallelized three-dimensional (3D) boundary element method is used to simulate the interaction between an incoming solitary wave and a 3D submerged horizontal plate under the assumption of potential flow. The numerical setup follows…

流体动力学 · 物理学 2021-04-07 T. Geng , H. Liu , F. Dias

We study the two-dimensional problem of propagation of linear water waves in deep water in the presence of a submerged body. Under some geometrical requirements, we derive an explicit bound for the solution depending on the domain and the…

偏微分方程分析 · 数学 2015-06-15 Ilia Kamotski , Vladimir Maz'ya

The dynamics of surface waves traveling along the boundary of a liquid medium are changed by the presence of floating plates and membranes, contributing to a number of important phenomena in a wide range of applications. Mathematically, if…

数值分析 · 数学 2025-10-28 Travis Askham , Tristan Goodwill , Jeremy G Hoskins , Peter Nekrasov , Manas Rachh

This paper is devoted to the derivation and mathematical analysis of a wave-structure interaction problem which can be reduced to a transmission problem for a Boussinesq system. Initial boundary value problems and transmission problems in…

偏微分方程分析 · 数学 2021-07-14 D. Bresch , David Lannes , Guy Metivier

This article is devoted to the proof of the well-posedness of a model describing waves propagating in shallow water in horizontal dimension $d=2$ and in the presence of a fixed partially immersed object. We first show that this…

偏微分方程分析 · 数学 2023-06-28 David Lannes , Tatsuo Iguchi

In this paper, we study the generalized Boussinesq equation as a model for the water wave problem with surface tension. Initially, we investigate the initial value problem within Sobolev spaces, deriving conditions under which solutions are…

偏微分方程分析 · 数学 2024-05-21 Amin Esfahani , Gulcin M. Muslu

We evaluate a number of different finite element approaches for fluid-structure (contact) interaction problems against data from physical experiments. For this we take the data from experiments by Hagemeier [Mendeley Data, doi:…

流体动力学 · 物理学 2021-03-03 Henry von Wahl , Thomas Richter , Stefan Frei , Thomas Hagemeier

The two-dimensional nonlinear problem of steady flow past a body submerged beneath an elastic sheet is considered. The mathematical model is based on the velocity potential theory with fully nonlinear boundary conditions on the fluid…

流体动力学 · 物理学 2021-06-16 Y. A. Semenov
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