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We analyze the way topological constraints and inhomogeneity in the excitability influence the dynamics of spiral waves on spheres and punctured spheres of excitable media. We generalize the definition of an index such that it characterizes…

Pattern Formation and Solitons · Physics 2009-11-10 Jörn Davidsen , Leon Glass , Raymond Kapral

Two-point measurements of concentration are obtained in a meandering passive-scalar plume released at five different heights within the fully-turbulent region of a high-Reynolds number turbulent boundary layer (TBL). These measurements are…

Fluid Dynamics · Physics 2019-04-05 Krishna M Talluru , Kapil Chauhan

Topology is bringing new tools for the study of fluid waves. The existence of unidirectional Yanai and Kelvin equatorial waves has been related to a topological invariant, the Chern number, that describes the winding of $f$-plane shallow…

Fluid Dynamics · Physics 2019-05-01 Clément Tauber , Pierre Delplace , Antoine Venaille

Waves propagating through a weakly scattering random medium show a pronounced branching of the flow accompanied by the formation of freak waves, i.e., extremely intense waves. Theory predicts that this strong fluctuation regime is…

Disordered Systems and Neural Networks · Physics 2013-11-05 S. Barkhofen , J. Metzger , R. Fleischmann , U. Kuhl , H. -J. Stoeckmann

Some recent papers proposed the use of the satellite images of Google Earth in teaching physics, in particular to see some behaviours of waves. Reflection, refraction, diffraction and interference are easy to be found in these satellite…

Popular Physics · Physics 2012-02-28 Amelia Carolina Sparavigna

In this paper, we present a semiclassical description of surface waves or modes in an elastic medium near a boundary, in spatial dimension three. The medium is assumed to be essentially stratified near the boundary at some scale comparable…

Analysis of PDEs · Mathematics 2021-06-09 Maarten de Hoop , Alexei Iantchenko , Gen Nakamura , Jian Zhai

Waves in excitable media can be treated by a simple geometric theory. The propagation velocity is assumed known and evolution of wave fronts is determined by elementary physical principles (Fermat's principle, Huygens' principle). Based on…

Pattern Formation and Solitons · Physics 2007-05-23 Kristof Kaly-Kullai

Scale interaction is studied in wall-bounded turbulence by focusing on the frequency modulation (FM) mechanism of large scales on small scale velocity fluctuations. Differently from amplitude modulation analysis, frequency modulation has…

Fluid Dynamics · Physics 2021-05-19 Giovanni Iacobello , Luca Ridolfi , Stefania Scarsoglio

Bloch wavefunctions are used to derive dispersion relations for water wave propagation in the presence of an infinite array of periodically arranged surface scatterers. For one dimensional periodicity (stripes), band gaps for wavevectors in…

Condensed Matter · Physics 2007-05-23 Tom Chou

This paper deals with the spectral element modeling of seismic wave propagation at the global scale. Two aspects relevant to low-frequency studies are particularly emphasized. First, the method is generalized beyond the Cowling…

Geophysics · Physics 2009-11-10 Emmanuel Chaljub , Bernard Valette

We investigate the statistics of rogue waves occurring in the inverse cascade of surface gravity wave turbulence. In such statistically homogeneous, stationary and isotropic wave fields, low-frequency waves are generated by nonlinear…

Fluid Dynamics · Physics 2022-06-15 Guillaume Michel , Félicien Bonnefoy , Guillaume Ducrozet , Eric Falcon

This paper proposes a scalable lattice-Boltzmann computational framework (SBoTFlow) for simulations of flexible moving objects in an incompressible fluid flow. Behavior of fluid flow formed from moving boundaries of flexible-object motions…

Fluid Dynamics · Physics 2024-02-08 Duc V. Nguyen , Dung V. Duong

Should it be a pebble hitting water surface or an explosion taking place underwater, concentric surface waves inevitably propagate. Except for possibly early times of the impact, finite amplitude concentric water waves emerge from a balance…

Fluid Dynamics · Physics 2024-05-28 R. Krechetnikov

Generalized impedance boundary conditions are effective, approximate boundary conditions that describe scattering of waves in situations where the wave interaction with the material involves multiple scales. In particular, this includes…

Numerical Analysis · Mathematics 2020-05-29 Lehel Banjai , Christian Lubich , Joerg Nick

The scattering of electromagnetic waves by an obstacle is analyzed through a set of partial differential equations combining the Maxwell's model with the mechanics of fluids. Solitary type EM waves, having compact support, may easily be…

Computational Physics · Physics 2018-03-28 Daniele Funaro , Eugene Kashdan

The aim of this article is to study the attenuation of transient low-frequency waves in 2D lattices in both plane and antiplane problems. The main idea of this article is that analytical solutions to problems of mechanics of discrete…

Classical Physics · Physics 2022-01-31 Nadezhda I. Aleksandrova

A new highly efficient method is developed for computation of traveling periodic waves (Stokes waves) on the free surface of deep water. A convergence of numerical approximation is determined by the complex singularites above the free…

Fluid Dynamics · Physics 2019-04-02 Pavel M. Lushnikov , Sergey A. Dyachenko , Denis A. Silantyev

The analytical study of long wave scattering in a canal with a rapidly varying cross-section is presented. It is assumed that waves propagate on a stationary current with a given flow rate. Due to the fixed flow rate, the current speed is…

Fluid Dynamics · Physics 2017-09-19 Semyon Churilov , Andrei Ermakov , Germain Rousseaux , Yury Stepanyants

The propagation of inertio-gravity waves (IGW) into the deep-sea is relevant for energy transfer to turbulence where waves break, and thus for redistribution of nutrients, oxygen and suspended matter. In constant stratification, vertical…

Atmospheric and Oceanic Physics · Physics 2023-07-25 Hans van Haren

In this paper we construct small amplitude periodic internal waves traveling at the boundary region between two rotational and homogeneous fluids with different densities. Within a period, the waves we obtain have the property that the…

Analysis of PDEs · Mathematics 2012-02-15 Anca-Voichita Matioc