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We investigate an effect of the resonant interaction in the case of one-directional propagation of capillary-gravity surface waves arising as the free surface of a rotational water flow. Specifically, we assume a constant vorticity in the…

Fluid Dynamics · Physics 2019-11-14 Rossen I. Ivanov , Calin I. Martin

Triadic interactions are the fundamental mechanism of energy transfer in fluid flows. This work introduces bispectral mode decomposition as a direct means of educing flow structures that are associated with triadic interactions from…

Fluid Dynamics · Physics 2021-01-20 Oliver T. Schmidt

Inertial modes have been recently detected in the Sun via helioseismology, yet their origin, evolution, and role in the dynamics of the solar plasma and magnetic field remain poorly understood. In this study, we employ global numerical…

We calculate tidal torque due to semi-diurnal thermal tides in rotating hot Jupiters, taking account of the effects of radiative cooling in the envelope and of the planets rotation on the tidal responses. We use a simple Jovian model…

Earth and Planetary Astrophysics · Physics 2019-07-10 Umin Lee , Daiki Murakami

Star-planet tidal interactions may result in the excitation of inertial waves in the convective region of stars. Their dissipation plays a prominent role in the long-term orbital evolution of short-period planets. If the star is assumed to…

Solar and Stellar Astrophysics · Physics 2014-10-14 M. Guenel , C. Baruteau , S. Mathis , M. Rieutord

The dissipation of tidal inertial waves in planetary and stellar convective regions is one of the key mechanisms that drive the evolution of star-planet/planet-moon systems. In this context, the interaction between tidal inertial waves and…

Earth and Planetary Astrophysics · Physics 2023-05-03 Virgile Dandoy , Junho Park , Kyle Augustson , Aurélie Astoul , Stéphane Mathis

The chapter begins with a description of the annulus model of rotationg convection. The basic equations for the spherical problem are then introduced and the onset of columnar convection in spherical shells is discussed. The onset of…

Fluid Dynamics · Physics 2009-06-08 F. H. Busse , R. D. Simitev

Rotating turbulence is ubiquitous in nature. Previous works suggest that such turbulence could be described as an ensemble of interacting inertial waves across a wide range of length scales. For turbulence in macroscopic quantum…

Direct numerical simulations of three-dimensional (3D) homogeneous turbulence under rapid rigid rotation are conducted to examine the predictions of resonant wave theory for both small Rossby number and large Reynolds number. The simulation…

Chaotic Dynamics · Physics 2009-11-10 Q. Chen , S. Chen , G. L. Eyink , D. D. Holm

Gravito-inertial waves can be excited at the interface of convective and radiative regions and by the Reynolds stresses in the bulk of the convection zone. The magnitude of their energy flux will therefore vary with the properties of the…

Solar and Stellar Astrophysics · Physics 2019-02-28 Kyle C. Augustson , Stéphane Mathis

Double-diffusive convection driven by both thermal and compositional buoyancy in a rotating cylindrical annulus with conical caps is considered with the aim to establish whether a small fraction of compositional buoyancy added to the…

Fluid Dynamics · Physics 2011-04-26 R. D. Simitev

A compact binary system implicating at least one rotating neutron star undergoes gravitomagnetic tidal resonances as it inspirals toward its final merger. These have a dynamical impact on the phasing of the emitted gravitational waves. The…

General Relativity and Quantum Cosmology · Physics 2020-08-19 Eric Poisson

Inertial modes have been observed on the Sun at low longitudinal wavenumbers. These modes probe the dynamics and structure of the solar convection zone down to the tachocline. While linear analysis allows the complex eigenfrequencies and…

Solar and Stellar Astrophysics · Physics 2023-05-31 J. Philidet , L. Gizon

Kraichnan seminal ideas on inverse cascades yielded new tools to study common phenomena in geophysical turbulent flows. In the atmosphere and the oceans, rotation and stratification result in a flow that can be approximated as…

Fluid Dynamics · Physics 2018-01-19 D. Oks , P. D. Mininni , R. Marino , A. Pouquet

This paper presents our investigation into the modification of a finite-width internal gravity wave beam arising from triadic resonance instability. We present both experimental and weakly non-linear modelling to examine this instability…

Fluid Dynamics · Physics 2022-12-21 K. M. Grayson , Stuart B. Dalziel , Andrew G. W. Lawrie

Though highly impacting our lives, rotating turbulent flows are not well understood. These anisotropic three-dimensional disordered flows are governed by different nonlinear processes, each of which can be dominant in a different range of…

Fluid Dynamics · Physics 2026-05-19 Omri Shaltiel , Omri Gat , Eran Sharon

We report the observation of nonlinear three-wave resonant interactions between two different branches of the dispersion relation of hydrodynamic waves, namely the gravity-capillary and sloshing modes. These atypical interactions are…

Fluid Dynamics · Physics 2023-04-26 Filip Novkoski , Chi-Tuong Pham , Eric Falcon

Periodically forced, oscillatory fluid flows have been the focus of intense research for decades due to their richness as a nonlinear dynamical system and their relevance to applications in transportation, aeronautics, and energy…

Fluid Dynamics · Physics 2020-02-03 Benjamin Herrmann , Philipp Oswald , Richard Semaan , Steven L. Brunton

Complete Hamiltonian formalism is suggested for inertial waves in rotating incompressible fluid. Resonance three-wave interaction processes -- decay instability and confluence of two waves -- are shown to play a key role in the weakly…

Fluid Dynamics · Physics 2017-11-22 A. A. Gelash , V. S. L'vov , V. E. Zakharov

Convection in rotating spherical geometries is an important physical process in planetary and stellar systems. Using continuation methods at low Prandtl number, we find both strong equatorially asymmetric and symmetric polar nonlinear…

Solar and Stellar Astrophysics · Physics 2019-07-17 F. Garcia , F. R. N. Chambers , A. L. Watts