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We develop an analytic theory to describe spiral density waves propagating in a shearing disc in the weakly nonlinear regime. Such waves are generically found to be excited in simulations of turbulent accretion disks, in particular if said…

Earth and Planetary Astrophysics · Physics 2015-05-30 Tobias Heinemann , John C. B. Papaloizou

The properties of rotating turbulence driven by precession are studied using direct numerical simulations and analysis of the underlying dynamical processes in Fourier space. The study is carried out in the local rotating coordinate frame,…

Fluid Dynamics · Physics 2023-01-04 F. Pizzi , G. Mamatsashvili , A. J. Barker , A. Giesecke , F. Stefani

We study the nonlinear modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet of given thickness and density in a basin of a constant depth. For weakly nonlinear perturbations, we derive the…

Fluid Dynamics · Physics 2022-08-10 Alexey V. Slunyaev , Yury A. Stepanyants

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

The motion of particles suspended in environmental turbulence is relevant to many scientific fields, from sediment transport to biological interactions to underwater robotics. At very small scales and simple shapes, we are able to…

Fluid Dynamics · Physics 2015-06-02 Margaret L. Byron

We investigate nonlinear periodic and solitary two-dimensional rolling waves in a falling two-layer liquid film in the regime of non-zero Reynolds numbers. At any flow rate, a falling two-layer liquid film is known to be linearly unstable…

Fluid Dynamics · Physics 2023-02-28 Andrey Pototsky , Ivan S. Maksymov

A method of windowed spatio-temporal spectral filtering is proposed to segregate different nonlinear wave components, and to calculate the surface of free waves. The dynamic kurtosis (i.e., produced by the free wave component) is shown able…

Pattern Formation and Solitons · Physics 2020-07-01 Alexey Slunyaev

We investigate the potential to detect low-frequency gravitational waves (GWs) through their imprints on the proper motions of distant quasars observed by the Gaia mission. Using astrometric data from Gaia DR3, we simulate the effect of GWs…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-26 V. Akhmetov , L. Filipello , M. Crosta , M. G. Lattanzi , B. Bucciarelli , U. Abbas , F. Santucci

We consider the stability of periodic gravity free-surface water waves traveling downstream at a constant speed over a shear flow of finite depth. In case the free surface is flat, a sharp criterion of linear instability is established for…

Analysis of PDEs · Mathematics 2007-11-28 Vera Mikyoung Hur , Zhiwu Lin

By performing three-dimensional (3D) simulations that demonstrate the neutrino-driven core-collapse supernovae aided by the standing accretion shock instability (SASI), we study how the spiral modes of the SASI can have impacts on the…

High Energy Astrophysical Phenomena · Physics 2015-05-28 Kei Kotake , Wakana Iwakami Nakano , Naofumi Ohnishi

This paper describes an experimental investigation, by means of hot-wire anemometry, of the characteristics of velocity and temperature in a rotating turbulent boundary layer under isothermal and non-isothermal conditions. The ranges of…

Fluid Dynamics · Physics 2022-08-24 Zhi Tao , Ruquan You , Yao Ma , Haiwang Li

Weak wave turbulence has been observed on a thin elastic plate in previous work. Here we report theoretical, experimental and numerical studies of wave turbulence in a thin elastic plate submitted to increasing tension. When increasing the…

Statistical Mechanics · Physics 2019-03-27 Roumaissa Hassain , Nicolas Mordant , Benjamin Miquel , Giorgio Krstulovic , Gustavo Düring

We carry out local three dimensional (3D) hydrodynamic simulations of planet-disk interaction in stratified disks with varied thermodynamic properties. We find that whenever the Brunt-Vaisala frequency (N) in the disk is nonzero, the planet…

Earth and Planetary Astrophysics · Physics 2015-06-11 Zhaohuan Zhu , James M. Stone , Roman R. Rafikov

The complex interactions between turbulence and the free surface, including air entrainment processes, in boundary layer shear flows created by vertical surface-piercing plates are considered. A laboratory-scale device was built that…

Fluid Dynamics · Physics 2016-06-17 Nathan Washuta , Naeem Masnadi , James H. Duncan

We investigate the dynamics of inertia-gravity wave modes in 3D rotating stratified fluids. We start by deriving a reduced PDE, the GGG model, consisting of only wave-mode interactions. In principle, comparing this model to the full…

Fluid Dynamics · Physics 2009-03-05 Mark Remmel , Jai Sukhatme , Leslie M. Smith

The results of direct numerical simulation of plane-symmetric turbulence of water waves for potential flows within the framework of conformal variables taking into account low-frequency pumping and high-frequency viscous dissipation are…

Fluid Dynamics · Physics 2025-08-04 E. A. Kochurin , E. A. Kuznetsov

A new model to evaluate the equivalent hydrodynamic length or surface roughness, z0, of ocean waves is developed and tested. The proposed Surface Wave-Aerodynamic Roughness Length (SWARL) model requires maps of the wave surface height at…

Fluid Dynamics · Physics 2025-09-08 Manuel Ayala , Dennice Gayme , Charles Meneveau

This is the third in a series of papers that deal with angular momentum transport by internal gravity waves. We concentrate on the waves excited by core convection in a 3Msun, Pop I main sequence star. Here, we want to examine the role of…

Astrophysics · Physics 2009-11-13 Florian P. Pantillon , Suzanne Talon , Corinne Charbonnel

We experimentally study linear and nonlinear waves on the surface of a fluid covered by an elastic sheet where both tension and flexural waves take place. An optical method is used to obtain the full space-time wave field, and the…

Fluid Dynamics · Physics 2014-02-10 Luc Deike , Jean-Claude Bacri , Eric Falcon

Direct Numerical Simulations (DNS) of turbulent channel flow at a shear Reynolds number of $Re_{*}=360$ for Newtonian and Herschel-Bulkley fluids in smooth and rough channels has been performed. The rough surface was made of irregular…

Fluid Dynamics · Physics 2023-12-11 C. Narayanan , S. Nauer , J. -S. Singh , R. Belt , T. Palermo , D. Lakehal