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In this paper we study the reflective properties of a 2D interface separating a homogeneous solid from a band-gap metamaterial by modeling it as an interface between a classical Cauchy continuum and a relaxed micromorphic medium. We show…

We report an idealized numerical study of a melting and freezing solid adjacent to a turbulent, buoyancy-affected shear flow, in order to improve our understanding of topography generation by phase changes in the environment. We use the…

The propagation of surface water waves interacting with a current and an uneven bottom is studied. Such a situation is typical for ocean waves where the winds generate currents in the top layer of the ocean. The role of the bottom…

Fluid Dynamics · Physics 2019-02-19 Alan C. Compelli , Rossen I. Ivanov , Calin I. Martin , Michail D. Todorov

The shoaling of surface gravity waves has been acknowledged as a mechanism of rogue wave formation. This problem is generally reduced to water waves passing over a step, but non-equilibrium physics allows finite slopes to be considered.…

Fluid Dynamics · Physics 2022-12-19 Saulo Mendes , Jérôme Kasparian

We report on the scattering of a plane wave from a vertically oscillating plate in the low frequency approximation by means of Floquet theory. In the case of a static plate, the scattering coefficients are evaluated via mode matching method…

Classical Physics · Physics 2024-12-02 Magdalini Koukouraki , Philippe Petitjeans , Agnès Maurel , Vincent Pagneux

We analyze a set of bidirectional wave experiments in a linear wave flume of which some are conducive to integrable turbulence. In all experiments the wavemaker forcing is sinusoidal and the wave motion is recorded by seven high-resolution…

Fluid Dynamics · Physics 2022-10-11 Ivan Redor , Hervé Michallet , Nicolas Mordant , Eric Barthélemy

Waveform inversion is theoretically a powerful tool to reconstruct subsurface structures, but a usually encountered problem is that accurate sources are very rare, causing the computation unstable and divergent. This challenging problem,…

Geophysics · Physics 2024-07-12 Han Yu

The majority of coastal flows are characterized by turbulence, rendering the application of shallow water equations an inadequate approach for their accurate description. This paper presents a theory for characterizing accelerated coastal…

Fluid Dynamics · Physics 2024-09-19 Arno Roland Ndengna Ngatcha

The focus of our work is dispersive, second-order effective model describing the low-frequency wave motion in heterogeneous (e.g.~functionally-graded) media endowed with periodic microstructure. For this class of quasi-periodic medium…

Numerical Analysis · Mathematics 2020-06-05 Danial P. Shahraki , Bojan B. Guzina

We present a multiscale approach for identifying features in ocean beds by solving inverse problems in high frequency seafloor acoustics. The setting is based on Sound Navigation And Ranging (SONAR) imaging used in scientific, commercial,…

Numerical Analysis · Mathematics 2017-04-05 Bjorn Engquist , Christina Frederick , Quyen Huynh , Haomin Zhou

The excavation process in mechanized tunneling can be improved by reconnaissance of the geology ahead. A nondestructive exploration can be achieved in means of seismic imaging. A full waveform inversion approach, which works in the…

Computational Engineering, Finance, and Science · Computer Science 2022-02-08 Christopher Riedel , Khayal Musayev , Matthias Baitsch , Klaus Hackl

We study long surface and internal ring waves propagating in a stratified fluid over a parallel shear flow. The far-field modal and amplitude equations for the ring waves are presented in dimensional form. We re-derive them from the…

Fluid Dynamics · Physics 2021-09-30 Curtis Hooper , Karima Khusnutdinova , Roger Grimshaw

Wave interaction theory can be used as a tool to understand and predict instability in a variety of homogeneous and stratified shear flows. It is however, most often limited to piecewise-linear profiles of the shear layer background…

Fluid Dynamics · Physics 2019-09-04 Jeff Carpenter , Anirban Guha

The refraction of surface gravity waves by currents leads to spatial modulations in the wave field and, in particular, in the significant wave height. We examine this phenomenon in the case of waves scattered by a localised current feature,…

Fluid Dynamics · Physics 2023-11-13 Han Wang , Ana B. Villas Bôas , William R. Young , Jacques Vanneste

A scroll wave in a very thin layer of excitable medium is similar to a spiral wave, but its behaviour is affected by the layer geometry. We identify the effect of sharp variations of the layer thickness, which is separate from filament…

Pattern Formation and Solitons · Physics 2015-02-13 I. V. Biktasheva , H. Dierckx , V. N. Biktashev

Global observations of ocean swell, from satellite Synthetic Aperture Radar data, are used to estimate the dissipation of swell energy for a number of storms. Swells can be very persistent with energy e-folding scales exceeding 20,000 km.…

Atmospheric and Oceanic Physics · Physics 2009-11-13 Fabrice Ardhuin , Bertrand Chapron , Fabrice Collard

Wind turbines operate in the atmospheric boundary layer, where they are exposed to the turbulent atmospheric flows. As the response time of wind turbine is typically in the range of seconds, they are affected by the small scale intermittent…

Nonlinear wave-induced perturbations are discussed within the framework of the second-order theory. Due to the slow attenuation of the long perturbations with depth, they modulate motions beneath surface waves down to the bottom and can…

Geophysics · Physics 2025-08-11 Alexey V. Slunyaev , Anna V. Kokorina

Topological boundary and interface modes are generated in an acoustic waveguide by simple quasi-periodic patternings of the walls. The procedure opens many topological gaps in the resonant spectrum and qualitative as well as quantitative…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 David J. Apigo , Wenting Cheng , Kyle F. Dobiszewski , Emil Prodan , Camelia Prodan

Stokes wave is a finite amplitude periodic gravity wave propagating with constant velocity in inviscid fluid. Complex analytical structure of Stokes wave is analyzed using a conformal mapping of a free fluid surface of Stokes wave into the…

Pattern Formation and Solitons · Physics 2016-06-30 Pavel M. Lushnikov
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