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The question of the relative importance of coherent structures and waves has for a long time attracted a great deal of interest in astrophysical plasma turbulence research, with a more recent focus on kinetic scale dynamics. Here we utilize…

Plasma Physics · Physics 2019-08-30 D. Groselj , C. H. K. Chen , A. Mallet , R. Samtaney , K. Schneider , F. Jenko

We show that the phase space of stratified turbulence mainly consists of two slow invariant manifolds with rich physics, embedded on a larger basin with fast evolution. A local invariant manifold in the vicinity of the fluid at equilibrium…

Fluid Dynamics · Physics 2019-12-09 Nicolas E. Sujovolsky , Pablo D. Mininni

One of the pivotal questions in the dynamics of the oceans is related to the cascade of mechanical energy in the abyss and its contribution to mixing. Here, we propose internal wave attractors in the large amplitude regime as a unique…

Motivated by numerically modeling surface waves for inviscid Euler equations, we analyze linear models for damped water waves and establish decay properties for the energy for sufficiently regular initial configurations. Our findings give…

Analysis of PDEs · Mathematics 2023-08-21 Thomas Alazard , Jeremy L. Marzuola , Jian Wang

The modeling of surface pressure wave number spectra beneath a turbulent boundary layer is reviewed and reconsidered in terms of the vorticity in the flow. Using a solution based on the vorticity equation and Squires theorem, which was…

Fluid Dynamics · Physics 2022-08-11 Stewart Glegg , Siddhartha Verma , Lyubov Denissova

In the present Letter we use the Direct Numerical Simulation (DNS) of the Navier-Stokes equation for a two-phase flow (water and air) to study the dynamics of the modulational instability of free surface waves and its contribution to the…

Chaotic Dynamics · Physics 2015-06-11 A. Iafrati , A. Babanin , M. Onorato

Navier-Stokes turbulence subject to solid-body rotation is studied by high-resolution direct numerical simulations (DNS) of freely decaying and stationary flows. Setups characterized by different Rossby numbers are considered. In agreement…

Fluid Dynamics · Physics 2015-05-13 M. Thiele , W. -C. Müller

The phenomenon of turbulent thermal diffusion in temperature-stratified turbulence causing a non-diffusive turbulent flux of inertial and non-inertial particles in the direction of the turbulent heat flux is found using direct numerical…

Solar and Stellar Astrophysics · Physics 2012-11-28 N. E. L. Haugen , N. Kleeorin , I. Rogachevskii , A. Brandenburg

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

We consider interactions between surface and interfacial waves in the two layer system. Our approach is based on the Hamiltonian structure of the equations of motion, and includes the general procedure for diagonalization of the quadratic…

Fluid Dynamics · Physics 2023-07-19 Joseph Zaleski , Philip Zaleski , Yuri V Lvov

Laboratory experimental results are presented for nonlinear Internal Solitary Waves (ISW) propagation in deep water configuration with miscible fluids. The results are validated against direct numerical simulations and traveling wave exact…

We study the statistical properties of an ensemble of weak gravitational waves interacting nonlinearly in a flat space-time. We show that the resonant three-wave interactions are absent and develop a theory for four-wave interactions in a…

General Relativity and Quantum Cosmology · Physics 2017-12-06 S. Galtier , S. V. Nazarenko

Interaction between energy-abundant (sub-)mesoscale eddies and internal waves can lead to turbulence generation and may prove important for replenishment of nutrients for deep-sea life and circulation. However, observational evidence of…

Atmospheric and Oceanic Physics · Physics 2026-01-12 Hans van Haren

In this paper, using multiple scale analysis we derive a generalized mathematical model for amplitude evolution, and for calculating the energy exchange in resonant and near-resonant global triads consisting of weakly nonlinear internal…

Fluid Dynamics · Physics 2020-05-27 G. Saranraj , Anirban Guha

To elucidate the attenuation mechanism of wall-bounded turbulence due to heavy small particles, we conduct direct numerical simulations (DNS) of turbulent channel flow laden with finite-size solid particles. When particles cannot follow the…

Fluid Dynamics · Physics 2025-07-16 Yutaro Motoori , Susumu Goto

By using direct numerical simulations (DNS) at unprecedented resolution we study turbulence under rotation in the presence of simultaneous direct and inverse cascades. The accumulation of energy at large scale leads to the formation of…

Large-eddy simulations of a flat-plate boundary layer, without a leading edge, subject to multiple levels of incoming free stream turbulence are considered in the present work. Within an input-output model where non-linear terms of the…

Fluid Dynamics · Physics 2024-02-19 Diego C. P. Blanco , Ardeshir Hanifi , Dan S. Henningson , André V. G. Cavalieri

We present results from numerical simulations of the interaction of internal gravity waves (IGW) with magnetic fields in the radiative interior of the Sun. In this second paper, the waves are forced self-consistently by an overlying…

Solar and Stellar Astrophysics · Physics 2015-05-20 T. M. Rogers , K. B. MacGregor

The issue of the equilibrium-range formation in the wind-wave spectrum is studied by a direct numerical simulation. The evolution equation of wind-wave spectrum is numerically solved with using an exact calculation of the Hasselmann kinetic…

Atmospheric and Oceanic Physics · Physics 2017-01-20 Vladislav Polnikov

We report the quantitative experimental observation of the weak inertial-wave turbulence regime of rotating turbulence. We produce a statistically steady homogeneous turbulent flow that consists of nonlinearly interacting inertial waves,…

Fluid Dynamics · Physics 2021-07-26 Eduardo Monsalve , Maxime Brunet , Basile Gallet , Pierre-Philippe Cortet