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We present results of large-scale three-dimensional simulations of supersonic Euler turbulence with the piecewise parabolic method and multiple grid resolutions up to 2048^3 points. Our numerical experiments describe non-magnetized driven…

Astrophysics · Physics 2009-06-23 Alexei G. Kritsuk , Michael L. Norman , Paolo Padoan , Rick Wagner

We sample a velocity field that has an inertial spectrum and a skewness that matches experimental data. In particular, we compute a self-consistent correction to the Kolmogorov exponent and find that for our model it is zero. We find that…

Other Condensed Matter · Physics 2025-10-20 Alex Arenas , Alexandre Chorin

The effect of Kolmogorov-size spherical particles on homogeneous and isotropic turbulence is investigated using particle-resolved direct numerical simulations at a Taylor-scale Reynolds number of $150$. Four monodisperse suspensions of…

Fluid Dynamics · Physics 2026-02-06 Ludovico Fossà , Marco Edoardo Rosti

Statistical features of homogeneous, isotropic, two-dimensional turbulence is discussed on the basis of a set of direct numerical simulations up to the unprecedented resolution $32768^2$. By forcing the system at intermediate scales, narrow…

Chaotic Dynamics · Physics 2015-05-19 G. Boffetta , S. Musacchio

The way in which kinetic energy is distributed over the multiplicity of inertial (intermediate) scales is a fundamental feature of turbulence. According to Kolmogorov's 1941 theory, on the basis of a dimensional analysis, the form of the…

Fluid Dynamics · Physics 2011-10-21 Stefania Scarsoglio , Francesca De Santi , Daniela Tordella

We investigate how inhomogeneity influences the $k^{-5/3}$ inertial range scaling of turbulent kinetic energy spectra (with $k$ the wavenumber). For weak statistical inhomogeneity, the energy spectrum can be described as an equilibrium…

Fluid Dynamics · Physics 2024-12-03 Ryo Araki , Wouter J. T. Bos

In this study we explore the statistics of pressure fluctuations in kinetic collisionless turbulence. A 2.5D kinetic particle-in-cell (PIC) simulation of decaying turbulence is used to investigate pressure balance via the evolution of…

In this paper, we investigate the statistical features of the fully developed, forced, rapidly rotating, {turbulent} system using numerical simulations, and model {the} energy {spectrum} that {fits} well with the numerical data. Among the…

Fluid Dynamics · Physics 2018-12-05 Manohar K. Sharma , Mahendra K. Verma , Sagar Chakraborty

Understanding the small-scale structure of incompressible turbulence and its implications for the non-local pressure field is one of the fundamental challenges in fluid mechanics. Intense velocity gradient structures tend to cluster on a…

Fluid Dynamics · Physics 2019-04-12 Dimitar G. Vlaykov , Michael Wilczek

We study experimentally the spatial distribution, settling, and interaction of sub-Kolmogorov inertial particles with homogeneous turbulence. Utilizing a zero-mean-flow air turbulence chamber, we drop size-selected solid particles and study…

Fluid Dynamics · Physics 2019-03-27 Alec J. Petersen , Lucia Baker , Filippo Coletti

Quantum turbulence is numerically studied by solving the Gross-Pitaevskii equation. Introducing both the energy dissipation at small scales and the energy injection at large scales, we succeed in obtaining the steady turbulence made by the…

Statistical Mechanics · Physics 2009-11-11 Makoto Tsubota , Michikazu Kobayashi

An analytic model for steady state turbulence is employed to obtain the inertial range power spectrum of compressible turbulence. We assume that for homogeneous turbulence, the timescales controlling the energy injected at a given…

Fluid Dynamics · Physics 2021-08-11 Itzhak Goldman

In turbulent flows, the fluid element gets deformed by chaotic motion due to the formation of sharp velocity gradients. A direct connection between the element of fluid stresses and the energy balance still remains elusive. Here, an exact…

Fluid Dynamics · Physics 2025-02-21 Damiano Capocci

Context. Turbulence is a key component of molecular cloud structure. It is usually described by a cascade of energy down to the dissipation scale. The power spectrum for subsonic incompressible turbulence is $k^{-5/3}$, while for supersonic…

In this study, we investigated the flow dynamics in a fixed bed of hydrogel beads using Particle Tracking Velocimetry to compute the velocity field in the middle of the bed for moderate Reynolds numbers. We discovered that despite the…

Stratification can cause turbulence spectra to deviate from Kolmogorov's isotropic -5/3 power-law scaling in the universal equilibrium range at high Reynolds numbers. However, a consensus has not been reached with regard to the exact shape…

Fluid Dynamics · Physics 2018-10-22 Yu Cheng , Qi Li , Stefania Argentini , Chadi Sayde , Pierre Gentine

In this paper we numerically study the behavior of the density power spectrum in turbulent thermally bistable flows. We analyze a set of five three-dimensional simulations where turbulence is randomly driven in Fourier space at a fixed…

Astrophysics of Galaxies · Physics 2015-05-19 Adriana Gazol , Jongsoo Kim

We propose and verify a wave-vector-space version of generalized extended self similarity and broaden its applicability to uncover intriguing, universal scaling in the far dissipation range by computing high-order ($\leq 20\/$) structure…

chao-dyn · Physics 2009-10-28 Sujan K. Dhar , Anirban Sain , Rahul Pandit

We present a new design for a stirred tank that is forced by two parallel planar arrays of randomly actuated synthetic jets. This arrangement creates turbulence at high Reynolds number with low mean flow. Most importantly, it exhibits a…

Fluid Dynamics · Physics 2015-06-17 Gabriele Bellani , Evan A. Variano

We study the Reynolds number scaling of the Kolmogorov-Sinai entropy and attractor dimension for three dimensional homogeneous isotropic turbulence through the use of direct numerical simulation. To do so, we obtain Lyapunov spectra for a…

Fluid Dynamics · Physics 2019-10-23 Arjun Berera , Daniel Clark
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