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Supersonic turbulence plays an important role in a number of extreme astrophysical and terrestrial environments, yet its understanding remains rudimentary. We use data from a three-dimensional simulation of supersonic isothermal turbulence…

Astrophysics of Galaxies · Physics 2013-07-23 Alexei G. Kritsuk , Rick Wagner , Michael L. Norman

We study how fluctuations in fluid dynamic fields can be dissipated or amplified within the characteristic spatio-temporal structure of a heavy ion collision. The initial conditions for a fluid dynamic evolution of heavy ion collisions may…

Nuclear Theory · Physics 2012-08-20 Stefan Floerchinger , Urs Achim Wiedemann

By means of high-resolution numerical simulations, we compare the statistical properties of homogeneous and isotropic turbulence to those of the Navier-Stokes equation where small-scale vortex filaments are strongly depleted, thanks to a…

Fluid Dynamics · Physics 2020-03-04 Michele Buzzicotti , Luca Biferale , Federico Toschi

When an ensemble of particles interact hydrodynamically, they generically display large-scale transient structures such as swirls in sedimenting particles [1], or colloidal strings in sheared suspensions [2]. Understanding these…

Soft Condensed Matter · Physics 2013-01-24 Nicolas Desreumaux , Jean-Baptiste Caussin , Raphael Jeanneret , Eric Lauga , Denis Bartolo

Turbulent flows frequently accompany physical, chemical and biological processes, such as mixing, two-phase flow, combustion and even foraging by bacteria and plankton larvae, all of which are in principle subject to thermal fluctuations…

Fluid Dynamics · Physics 2021-07-08 Dmytro Bandak , Gregory L. Eyink , Alexei Mailybaev , Nigel Goldenfeld

We study the evolution of dynamic fluctuations averaged over different space lengths and time scales to characterize spatially and temporally heterogeneous behavior of TIP4P/2005 water in liquid and supercooled states. Analysing a million…

Experiments and numerical simulations of turbulent $^4$He and $^3$He-B have established that, at hydrodynamic length scales larger than the average distance between quantum vortices, the energy spectrum obeys the same 5/3 Kolmogorov law…

Fluid Dynamics · Physics 2016-10-03 C. F. Barenghi , Y. A. Sergeev , A. W. Baggaley

A local turbulence model is developed to study energy cascades in the interstellar medium (ISM) based on self-consistent two-dimensional fluid simulations. The model describes a partially ionized magnetofluid interstellar medium (ISM) that…

Space Physics · Physics 2015-05-13 Dastgeer Shaikh , Gary P. Zank

Visual manifestations of intermittency in computations of three dimensional Navier-Stokes fluid turbulence appear as the low-dimensional or `thin' filamentary sets on which vorticity and strain accumulate as energy cascades down to small…

Chaotic Dynamics · Physics 2020-12-02 John D. Gibbon

We derive the scale-by-scale uncertainty energy budget equation and demonstrate theoretically and computationally the presence of a self-similar equilibrium cascade of decorrelation in an inertial range of scales during the time range of…

Fluid Dynamics · Physics 2025-07-11 Jin Ge , Joran Rolland , John Christos Vassilicos

Measurements of the energy spectrum and of the vortex-density fluctuation spectrum in superfluid turbulence seem to contradict each other. Using a numerical model, we show that at each instance of time the total vortex line density can be…

Other Condensed Matter · Physics 2014-11-05 Andrew W. Baggaley , Jason Laurie , Carlo F. Barenghi

Recent developments in turbulence are focused on the effect of large scale anisotropy on the small scale statistics of velocity increments. According to Kolmogorov, isotropy is recovered in the large Reynolds number limit as the scale is…

Chaotic Dynamics · Physics 2009-11-11 C. M. Casciola , P. Gualtieri , B. Jacob , R. Piva

In fully developed three dimensional fluid turbulence the fluctuating energy is supplied at large scales, cascades through intermediate scales, and dissipates at small scales. It is the hallmark of turbulence that for intermediate scales,…

Fluid Dynamics · Physics 2013-01-09 Heng-Dong Xi , Eberhard Bodenschatz , Haitao Xu

We prove that inter-scale transfer of kinetic energy in compressible turbulence is dominated by local interactions. In particular, our results preclude direct transfer of kinetic energy from large-scales directly to dissipation scales, such…

Fluid Dynamics · Physics 2015-05-20 Hussein Aluie

We investigate dissipative anomalies in a turbulent fluid governed by the compressible Navier-Stokes equation. We follow an exact approach pioneered by Onsager, which we explain as a non-perturbative application of the principle of…

Fluid Dynamics · Physics 2018-02-21 Gregory L. Eyink , Theodore D. Drivas

The original goal of Large Eddy Simulations of fully developed turbulent flows was to accurately describe large-scale flow features ${\bf u}(\Delta)$ at the scales $r\geq \Delta$ where $\Delta$ is a size of computational mesh. The effect of…

Fluid Dynamics · Physics 2011-09-29 Victor Yakhot , John Wanderer

We re-analyze the data of the BU-FCRAO $^{13}{\rm CO}$ Galactic Ring Survey (GRS) to understand the dynamics of the turbulent molecular interstellar medium. We define molecular clouds by their spatial half-power contours of $^{13}{\rm CO}$…

Astrophysics of Galaxies · Physics 2026-03-09 Eric Keto

This article presents a theoretical study of the scaling properties of the kinetic energy spectrum in compressible turbulence. From the fundamental symmetries and linear transformations of the microscopic action, we derive exact relations…

Fluid Dynamics · Physics 2025-09-16 Olivier Coquand

We address the experimentally observed non-Gaussian fluctuations for the energy injected into a closed turbulent flow at fixed Reynolds number. We propose that the power fluctuations mirror the internal kinetic energy fluctuations. Using a…

Statistical Mechanics · Physics 2007-05-23 B. Portelli , P. C. W. Holdsworth , J. -F. Pinton

The separating and reattaching turbulent flow past a rectangular cylinder is studied to describe how small and large scales contribute to the sustaining mechanism of the velocity fluctuations. The work is based on the Anisotropic…

Fluid Dynamics · Physics 2022-08-24 Alessandro Chiarini , Davide Gatti , Andrea Cimarelli , Maurizio Quadrio