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Related papers: Internal Wave Attractors in 3D Geometries : a dyna…

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We study experimentally the propagation of internal waves in two different three-dimensional (3D) geometries, with a special emphasis on the refractive focusing due to the 3D reflection of obliquely incident internal waves on a slope. Both…

Fluid Dynamics · Physics 2021-02-10 G. Pillet , E. V. Ermanyuk , L. R. M. Maas , I. N. Sibgatullin , T. Dauxois

We consider inertial waves propagating in a fluid contained in a non-axisymmetric three-dimensional rotating cavity. We focus on the particular case of a fluid enclosed inside a truncated cone or frustum, which is the volume that lies…

Fluid Dynamics · Physics 2024-01-11 Benjamin Favier , Stéphane Le Dizès

Internal waves are an important feature of stratified fluids, both in oceanic and lake basins and in other settings. Many works have been published on the generic feature of internal wave trapping onto planar wave attractors and…

Fluid Dynamics · Physics 2026-04-01 Nimrod Bratspiess , Eyal Heifetz , Leo R. M. Maas

The density stratification in an incompressible fluid is responsible for the propagation of internal waves. In domains with topography, these waves exhibit interesting features. In particular, numerical and lab experiments show that, in two…

Mathematical Physics · Physics 2018-09-26 Yves Colin de Verdìère , Laure Saint-Raymond , Yves Colin Deverdì

Trapping and un-trapping of spiral tips in a two-dimensional homogeneous excitable medium with local small-world connections is studied by numerical simulation. In a homogeneous medium which can be simulated with a lattice of regular…

Pattern Formation and Solitons · Physics 2009-11-10 Xiaonan Wang , Ying Lu , Minxi Jiang , Qi Ouyang

In this article, we investigate the wave equation in spiral geometry and study the modes of vibrations of a one-dimensional (1-D) string in spiral shape. Here we show that the problem of wave propagation along a spiral can be reduced to…

Classical Physics · Physics 2014-10-21 Deep Chatterjee , Rajesh K. Nayak

In the present paper, we combine numerical and experimental approaches to study the dynamics of stable and unstable internal wave attractors. The problem is considered in a classic trapezoidal setup filled with a uniformly stratified fluid.…

Fluid Dynamics · Physics 2021-02-10 Christophe Brouzet , Ilias Sibgatullin , H Scolan , E. V. Ermanyuk , Thierry Dauxois

This paper presents an experimental study of different instability scenarios in a parallelogram-shaped internal wave attractor in a trapezoidal domain filled with a uniformly stratified fluid. Energy is injected into the system via the…

Fluid Dynamics · Physics 2021-02-10 Christophe Brouzet , E. V. Ermanyuk , Sylvain Joubaud , Grimaud Pillet , Thierry Dauxois

We present a laboratory study on the instability of internal wave attractors in a trapezoidal fluid domain filled with uniformly stratified fluid. Energy is injected into the system via standing-wave-type motion of a vertical wall.…

Pattern Formation and Solitons · Physics 2015-06-15 Hélène Scolan , E. V. Ermanyuk , Thierry Dauxois

In a uniformly rotating fluid, inertial waves propagate along rays that are inclined to the rotation axis by an angle that depends on the wave frequency. In closed domains, multiple reflections from the boundaries may cause inertial waves…

Solar and Stellar Astrophysics · Physics 2015-06-18 Laurène Jouve , Gordon Ogilvie

The reflection of internal gravity waves at sloping boundaries leads to focusing or defocusing. In closed domains, focusing typically dominates and projects the wave energy onto 'wave attractors'. For small-amplitude internal waves, the…

Fluid Dynamics · Physics 2018-04-04 F. Beckebanze , C. Brouzet , I. N. Sibgatullin , L. R. M. Maas

Inertial waves propagate in homogeneous rotating fluids, and constitute a challenging and simplified case study for the broader class of inertio-gravity waves, present in all geophysical and astrophysical media, and responsible for…

Fluid Dynamics · Physics 2014-02-12 Anna Rabitti , Leo R. M. Maas

The propagation of electromagnetic waves trapped within dielectric and magnetic layers is considered. The description within the three-dimensional theory is compared with the simplified analysis in two dimensions. Two distinct media…

Classical Physics · Physics 2018-05-23 Tomasz Radozycki , Piotr Bargiela

The propagation of waves through transmission eigenchannels in complex media is emerging as a new frontier of condensed matter and wave physics. A crucial step towards constructing a complete theory of eigenchannels is to demonstrate their…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Ping Fang , Chushun Tian , Liyi Zhao , Yury P. Bliokh , Valentin Freilikher , Franco Nori

We consider wave propagation problems over 2-dimensional domains with piecewise-linear boundaries, possibly including scatterers. We assume that the wave speed is constant, and that the initial conditions and forcing terms are radially…

Numerical Analysis · Mathematics 2025-03-14 Davide Pradovera , Monica Nonino , Ilaria Perugia

Multipath propagation of radio waves in indoor/outdoor environments shows a highly irregular behavior as a function of time. Typical modeling of this phenomenon assumes the received signal is a stochastic process composed of the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 C. Tannous , R. Davies , A. Angus

A process based on particle evaporation, diffusion and redeposition is applied iteratively to a two-dimensional object of arbitrary shape. The evolution spontaneously transforms the object morphology, converging to branched structures.…

Statistical Mechanics · Physics 2009-10-31 M. Filoche , B. Sapoval

This work investigates wave propagation in undulated square structural lattices. The undulated pattern is obtained by imposing an initial curvature to the lattice's elements. The study considers both periodic undulated structures, in which…

Materials Science · Physics 2015-12-02 Giuseppe Trainiti , Julian J. Rimoli , Massimo Ruzzene

A one-dimensional wave propagation through elastically asymmetric media is investigated. A class of metamaterials possessing an arbitrary elastic asymmetry is proposed. This asymmetry results in different wave speeds of tensile and…

Soft Condensed Matter · Physics 2021-01-26 Vladislav A. Yastrebov

The propagation of internal gravity waves in stratified media, such as those found in ocean basins and lakes, leads to the development of geometrical patterns called "attractors". These structures accumulate much of the wave energy and make…

Spectral Theory · Mathematics 2023-06-23 Javier A. Almonacid , Nilima Nigam
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