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A simple generalization of the Swift-Hohenberg equation is proposed as a model for the pattern-forming dynamics of a two-dimensional field with two unstable length scales. The equation is used to study the dynamics of surface waves in a…

Soft Condensed Matter · Physics 2009-10-30 Ron Lifshitz , Dean M. Petrich

Ocean mesoscale eddies enhance meridional buoyancy transport, notably in the Antarctic Circumpolar Current where they contribute to setting the deep stratification of the neighboring ocean basins. The much-needed parameterization of this…

Fluid Dynamics · Physics 2023-08-02 Julie Meunier , Benjamin Miquel , Basile Gallet

Oceanic internal waves often have curvilinear fronts and propagate over various currents. We present the first study of long weakly-nonlinear internal ring waves in a three-layer fluid in the presence of a background linear shear current.…

Fluid Dynamics · Physics 2022-07-01 D. Tseluiko , N. S. Alharthi , R. Barros , K. R. Khusnutdinova

When an ensemble of particles interact hydrodynamically, they generically display large-scale transient structures such as swirls in sedimenting particles [1], or colloidal strings in sheared suspensions [2]. Understanding these…

Soft Condensed Matter · Physics 2013-01-24 Nicolas Desreumaux , Jean-Baptiste Caussin , Raphael Jeanneret , Eric Lauga , Denis Bartolo

Nonlinear triadic interactions are at the heart of our understanding of turbulence. In flows where waves are present modes must not only be in a triad to interact, but their frequencies must also satisfy an extra condition: the interactions…

Fluid Dynamics · Physics 2016-12-21 P. Clark di Leoni , P. D. Mininni

The stability and transition in the bottom boundary layer under a solitary wave are analysed in the presence of finite amplitude disturbances. First, the receptivity of the boundary layer is investigated using a linear input-output…

Fluid Dynamics · Physics 2020-07-15 Asim Önder , Philip Li-Fan Liu

Looking at rational solid-fluid mixture theories in the context of their biomechanical perspectives, this work aims at proposing a two-scale constitutive theory of a poroelastic solid infused with an inviscid compressible fluid. The…

Classical Physics · Physics 2018-08-29 S. Quiligotti , G. Maugin , F. dell'Isola

Analytical and numerical modelling of the nonlinear interaction of shear wave with a frictional interface is presented. The system studied is composed of two homogeneous and isotropic elastic solids, brought into frictional contact by…

Materials Science · Physics 2011-12-26 A. Meziane , A. N. Norris , A. L. Shuvalov

Low-mode baroclinic tides play a major role in ocean dynamics, especially for energy redistribution and deep ocean mixing. These internal waves, generated by tidal flow over submarine topography, can propagate for thousands of kilometres…

Atmospheric and Oceanic Physics · Physics 2025-12-11 Camille Moisset , Bruce Sutherland , Lois Baker

Internal waves with frequency larger than twice the local minimum allowable wave frequency can be susceptible to parametric subharmonic instability (PSI). This instability draws energy from the wave and provides a mechanism for generating…

Fluid Dynamics · Physics 2026-05-28 Logan Knudsen , Jacob Wenegrat , James Hilditch , Leif Thomas

The paper is devoted to the presentation of the non-spectral methods of analysis of the natural measurements of the internal gravity waves in the ocean with the purpose to determine characteristics of the wave-trains composing the measured…

Atmospheric and Oceanic Physics · Physics 2007-07-13 Vitaly A. Bulatov

New parameterizations for the spectra dissipation of wind-generated waves are proposed. The rates of dissipation have no predetermined spectral shapes and are functions of the wave spectrum and wind speed and direction, in a way consistent…

A challenge in physical oceanography is quantifying the energy content of waves and balanced flows and the fluxes that connect these reservoirs with their sources and sinks. Methodological limitations have prevented decompositions for…

Interactions between inertia-gravity waves and balanced flows lead to a spectral diffusion of wave action. Prior work has established that this diffusion is weak across constant frequency surfaces in three-dimensional settings, but can be…

Fluid Dynamics · Physics 2026-05-04 Nicholas DeFilippis , Oliver Bühler , K. Shafer Smith

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

The direction and magnitude of energy transfer between turbulence scale brought about by external forcing on a turbulent boundary layer are uncovered through the bispectrum, bicoherence, and biphase. The bispectrum is a third-order,…

Fluid Dynamics · Physics 2025-11-18 Clayton P. Byers , Subrahmanyam Duvvuri

The dynamics of random weakly nonlinear waves is studied in the framework of vibrating thin elastic plates. Although it has been previously predicted that no stationary inverse cascade of constant wave action flux could exist in the…

Statistical Mechanics · Physics 2015-06-11 Gustavo Düring , Christophe Josserand , Sergio Rica

A bound state in the continuum (BIC) on a periodic structure sandwiched between two homogeneous media is a guided mode with a frequency and a wavenumber such that propagating plane waves with the same frequency and wavenumber exist in the…

Pattern Formation and Solitons · Physics 2021-01-01 Lijun Yuan , Ya Yan Lu

Fronts and near-inertial waves are energetic motions in the upper ocean that can interact and provide a route for kinetic energy (KE) dissipation of balanced oceanic flows. A quasilinear model is developed to study the KE exchanges between…

Atmospheric and Oceanic Physics · Physics 2022-06-20 Subhajit Kar , Roy Barkan

An aquaplanet model is used to study the nature of the highly persistent low frequency waves that have been observed in models forced by zonally symmetric boundary conditions. Using the Hayashi spectral analysis of the extratropical waves,…

Fluid Dynamics · Physics 2011-10-13 Giuseppe Zappa , Valerio Lucarini , Antonio Navarra