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It is shown that nonlocal interactions determine energy spectrum in isotropic turbulence at small Reynolds numbers. It is also shown that for moderate Reynolds numbers the bottleneck effect is determined by the same nonlocal interactions.…

Chaotic Dynamics · Physics 2008-11-07 A. Bershadskii

Large-scale turbulence in fluid layers and other quasi-two-dimensional compressible systems consists of planar vortices and waves. Separately, wave turbulence usually produces a direct energy cascade, while solenoidal planar turbulence…

Fluid Dynamics · Physics 2017-10-02 Gregory Falkovich , Alexei G. Kritsuk

The presence of a dispersed phase substantially modifies small-scale turbulence. However, there has not been a comprehensive mechanistically-based understanding to predict turbulence modulation. Based on the energy flux balance, we propose…

Fluid Dynamics · Physics 2023-11-23 S. Balachandar , C. Peng , L. -P. Wang

We show that by changing a single non-dimensional number, the thermal Rossby number, global atmospheric simulations with only axisymmetric forcing pass from an Earth-like atmosphere to a superrotating atmosphere that more resembles the…

Earth and Planetary Astrophysics · Physics 2015-05-19 Jonathan L. Mitchell , Geoffrey K. Vallis

Energy dissipation in collisionless plasmas is a longstanding fundamental physics problem. Although it is well known that magnetic reconnection and turbulence are coupled and transport energy from system-size scales to sub-proton scales,…

Most of the turbulent flows appearing in nature (e.g. geophysical and astrophysical flows) are subjected to strong rotation and stratification. These effects break the symmetries of classical, homogenous isotropic turbulence. In doing so,…

Fluid Dynamics · Physics 2015-09-11 Corentin Herbert , Annick Pouquet , Raffaele Marino

Magnetohydrodynamic turbulence regulates the transfer of energy from large to small scales in many astrophysical systems, including the solar atmosphere. We perform three-dimensional magnetohydrodynamic simulations with unprecedentedly…

Solar and Stellar Astrophysics · Physics 2023-05-30 Chuanfei Dong , Liang Wang , Yi-Min Huang , Luca Comisso , Timothy A. Sandstrom , Amitava Bhattacharjee

Recent studies have reported that an increase in the bottom drag coefficient can enhance the volume transport of the Antarctic Circumpolar Current. Several mechanisms have been proposed to explain this frictional control, including the…

Fluid Dynamics · Physics 2026-05-06 Takuro Matsuta , Atsushi Kubokawa , Humio Mitsudera , Tomomichi Ogata

The present work aims at exploring the scale-by-scale kinetic energy exchanges in multiphase turbulence. For this purpose, we derive the K\'arm\'an-Howarth-Monin equation which accounts for the variations of density and viscosity across the…

Fluid Dynamics · Physics 2026-01-14 Fabien Thiesset , Jonathan Vahé

Periodically forced turbulence is used as a test case to evaluate the predictions of two-equation and multiple-scale turbulence models in unsteady flows. The limitations of the two-equation model are shown to originate in the basic…

Fluid Dynamics · Physics 2010-09-02 Robert Rubinstein , Wouter J. T. Bos

Rossby wave turbulence, as modelled by the Charney-Hasegawa-Mima (CHM) equation, is nonlocal in scale. As a result, the formal stationary Kolmogorov-Zakharov solutions of the Rossby wave kinetic equation, which describe local cascades, are…

Chaotic Dynamics · Physics 2010-12-14 Colm Connaughton , Sergey Nazarenko , Brenda Quinn

Understanding compressible turbulence is critical for modeling atmospheric, astrophysical, and engineering flows. However, compressible turbulence poses a more significant challenge than incompressible turbulence. We present a novel…

Fluid Dynamics · Physics 2025-08-07 Dhananjay Singh , Harshit Tiwari , Lekha Sharma , Mahendra K. Verma

Breaking waves entrain gas beneath the surface. The wave-breaking process energizes turbulent fluctuations that break bubbles in quick succession to generate a wide range of bubble sizes. Understanding this generation mechanism paves the…

Fluid Dynamics · Physics 2021-02-24 Wai Hong Ronald Chan , Perry Johnson , Parviz Moin

We characterise the scale-by-scale transfers of energy, enstrophy and helicity in homogeneous and isotropic polymeric turbulence using direct numerical simulations. The microscale Reynolds number is set to $Re_\lambda \approx 460$, and the…

Fluid Dynamics · Physics 2026-01-14 Alessandro Chiarini , Rahul K. Singh , Marco E. Rosti

The role of baroclinicity, which arises from the misalignment of pressure and density gradients, is well-known in the vorticity equation, yet its role in the kinetic energy budget has never been obvious. Here, we show that baroclinicity…

Fluid Dynamics · Physics 2019-05-30 Aarne Lees , Hussein Aluie

The unit of nonlinear interaction in Navier-Stokes and the Magnetohydrodynamic (MHD) equations is a wavenumber triad ({\bf k,p,q}) satisfying ${\bf k+p+q=0}$. The expression for the combined energy transfer from two of these wavenumbers to…

Fluid Dynamics · Physics 2007-05-23 Gaurav Dar , Mahendra K. Verma , V. Eswaran

A short, abrupt increase in energy injection rate into steady strongly-driven rotating turbulent flow is used as a probe for energy transfer in the system. The injected excessive energy is localized in time and space and its spectra differ…

Fluid Dynamics · Physics 2025-10-30 Omri Shaltiel , Alon Salhov , Omri Gat , Eran Sharon

The properties of energy transfer in the kinetic range of plasma turbulence have fundamental implications on the turbulent heating of space and astrophysical plasmas. It was recently suggested that magnetic reconnection may be responsible…

Plasma Physics · Physics 2024-08-06 Raffaello Foldes , Silvio Sergio Cerri , Raffaele Marino , Enrico Camporeale

Turbulence sustains out-of-equilibrium energy fluxes shaped by conservation laws. Three-dimensional flows conserve energy and sign-indefinite helicity, both being transferred to small scales. Yet in 3D rotating turbulence, energy is…

Fluid Dynamics · Physics 2026-02-24 Sébastien Gomé , Anna Frishman

The atmosphere is a nonlinear stratified fluid in which internal gravity waves are present. These waves interact with the flow, resulting in wave turbulence that displays important differences with the turbulence observed in isotropic and…

Fluid Dynamics · Physics 2015-06-23 P. Clark di Leoni , P. D. Mininni