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In this paper we characterize the scaling of energy spectra, and the interscale transfer of energy and enstrophy, for strongly, moderately and weakly stably stratified two-dimensional (2D) turbulence under large-scale random forcing. In the…

Fluid Dynamics · Physics 2017-04-05 Abhishek Kumar , Mahendra K. Verma , Jai Sukhatmae

We study the Boussinesq approximation for rapidly rotating stably-stratified fluids in a three dimensional infinite layer with either stress-free or periodic boundary conditions in the vertical direction. For initial conditions satisfying a…

Analysis of PDEs · Mathematics 2019-05-22 Ryan Goh , C. Eugene Wayne

The large-scale structures in the ocean and the atmosphere are in geostrophic balance, and a conduit must be found to channel the energy to the small scales where it can be dissipated. In turbulence this takes the form of an energy cascade,…

Fluid Dynamics · Physics 2018-02-20 N. E. Sujovolsky , P. D. Mininni , A. Pouquet

Decaying three-dimensional (3D) turbulence is studied via direct numerical simulations (DNS) for an isotropic non-rotating flow and for rotating flows with and without helicity. We analyze the cases of moderate Rossby number and large…

Fluid Dynamics · Physics 2015-05-14 T. Teitelbaum , P. D. Mininni

The inertial-range properties of quasi-stationary hydrodynamic turbulence under solid-body rotation are studied via high-resolution direct numerical simulations. For strong rotation the nonlinear energy cascade exhibits depletion and a…

Fluid Dynamics · Physics 2009-11-13 Wolf-Christian Mueller , Mark Thiele

Stratified turbulence shows scale- and direction-dependent anisotropy and the coexistence of weak turbulence of internal gravity waves and strong turbulence of eddies. Straightforward application of standard analyses developed in isotropic…

Fluid Dynamics · Physics 2019-10-10 Naoto Yokoyama , Masanori Takaoka

Analyzing a large data base of high-resolution three-dimensional direct numerical simulations of decaying rotating stratified flows, we show that anomalous mixing and dissipation, marked anisotropy, and strong intermittency are all observed…

Fluid Dynamics · Physics 2019-10-08 A. Pouquet , D. Rosenberg , R. Marino

We simulate three-dimensional, horizontally periodic Rayleigh-B\'enard convection between free-slip horizontal plates, rotating about a distant horizontal axis. When both the temperature difference between the plates and the rotation rate…

Fluid Dynamics · Physics 2015-09-30 J. von Hardenberg , D. Goluskin , A. Provenzale , E. A. Spiegel

A flow generator is described in which homogeneous axisymmetric turbulent air flows with varying and fully controllable degrees of anisotropy, including the much studied isotropic case, are generated by the combined agitations produced by…

Fluid Dynamics · Physics 2012-02-01 Kelken Chang

In this manuscript, we consider the $3$D Boussinesq equations for stably stratified fluids with the horizontal viscosity and thermal diffusivity and investigate the large time behavior of the solutions. Making use of the anisotropic…

Analysis of PDEs · Mathematics 2024-10-14 Mikihiro Fujii , Yang Li

Turbulence is characterized by the non-linear cascades of energy and other inviscid invariants across a huge range of scales, from where they are injected to where they are dissipated. Recently, new experimental, numerical and theoretical…

Fluid Dynamics · Physics 2018-10-10 A. Alexakis , L. Biferale

A numerical study of stably stratified flows past spheres at Reynolds numbers $Re=200$ and $Re=300$ is reported. In these flow regimes, a neutrally stratified laminar flow induces distinctly different near-wake features. However, the flow…

Fluid Dynamics · Physics 2021-01-19 Francesco Cocetta , Mike Gillard , Joanna Szmelter , Piotr K. Smolarkiewicz

Turbulence is an out-of-equilibrium flow state that is characterised by nonzero net fluxes of kinetic energy between different scales of the flow. These fluxes play a crucial role in the formation of characteristic flow structures in many…

Fluid Dynamics · Physics 2026-02-04 Youri H. Lemm , Xander M. de Wit , Rudie P. J. Kunnen

We generalize the `filtering spectrum' [1] to probe scales along different directions by spatial coarse-graining. This multi-dimensional filtering spectrum quantifies the spectral content of flows that are not necessarily homogeneous. From…

Fluid Dynamics · Physics 2023-10-20 Dongxiao Zhao , Hussein Aluie

We present a parametric space study of the decay of turbulence in rotating flows combining direct numerical simulations, large eddy simulations, and phenomenological theory. Several cases are considered: (1) the effect of varying the…

Fluid Dynamics · Physics 2015-05-19 T. Teitelbaum , P. D. Mininni

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

Isotropic homogeneous hydromagnetic turbulence is studied using numerical simulations at resolutions of up to 1024^3 meshpoints. It is argued that, in contrast to the kinematic regime, the nonlinear regime is characterized by a spectral…

Astrophysics · Physics 2007-05-23 A. Brandenburg , N. E. L. Haugen , W. Dobler

Turbulent cascades characterize the transfer of energy injected by a random force at large scales towards the small scales. In hydrodynamic turbulence, when the Reynolds number is large, the velocity field of the fluid becomes irregular and…

Mathematical Physics · Physics 2023-12-05 Gabriel B. Apolinário , Geoffrey Beck , Laurent Chevillard , Isabelle Gallagher , Ricardo Grande

In this paper we explore the fast rotation, nonhydrostatic limit of the rotating and stratified Boussinesq equations. We derive new reduced equations for the slow dynamics that describe Taylor-Proudman flows. One new aspect of the dynamics…

Chaotic Dynamics · Physics 2015-05-27 Beth A. Wingate , Pedro Embid , Miranda Holmes-Cerfon , Mark A. Taylor

Motivated by understanding the dynamics of stellar and planetary interiors, we have performed a set of direct numerical simulations of Boussinesq convection in a rotating full sphere. The domain is internally heated with fixed temperature…

Fluid Dynamics · Physics 2021-05-05 Yufeng Lin , Andrew Jackson