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The probability density function of single-point velocity fluctuations in turbulence is studied systematically using Fourier coefficients in the energy-containing range. In ideal turbulence where energy-containing motions are random and…

Fluid Dynamics · Physics 2009-11-10 H. Mouri , M. Takaoka , A. Hori , Y. Kawashima

We investigate exact results of isotropic turbulence in three-dimensions when the pressure gradient is negligible. We derive exact two-point correlation functions of density in three-dimensions and show that the density-density correlator…

High Energy Physics - Theory · Physics 2009-10-30 A. R. Rastegar , M. R. Rahimi Tabar , P. Hawaii

We report measurements of conditional Eulerian and Lagrangian structure functions in order to assess the effects of non-universal properties of the large scales on the small scales in turbulence. We study a 1m $\times$ 1m $\times$ 1.5m flow…

Fluid Dynamics · Physics 2015-05-13 Daniel B. Blum , Surendra Kunwar , James Johnson , Greg A. Voth

Considering recently developed Hard Thermal Loop perturbation theory that takes into account the effect of the variation of the external field through the fluctuations of a conserved quantity we calculate the temporal component of the…

High Energy Physics - Phenomenology · Physics 2015-03-19 Najmul Haque , Munshi G. Mustafa , Markus H. Thoma

The variance and spectra of wall-normal velocities are investigated for direct numerical simulations of turbulent flow in a channel, pipe, and zero-pressure-gradient boundary layer across a decade of friction Reynolds numbers. Spectra along…

Fluid Dynamics · Physics 2026-04-22 Michael Heisel , Rahul Deshpande , Gabriel G. Katul

We consider the correlation functions of two-dimensional turbulence in the presence and absence of a three-dimensional perturbation, by means of conformal field theory. In the persence of three dimensional perturbation, we show that in the…

High Energy Physics - Theory · Physics 2015-06-26 M. R. Rahimi Tabar , S. Rouhani

We discuss the density fluctuations of a fluid due to zero point motion. These can be regarded as density fluctuations in the phonon vacuum state. We assume a linear dispersion relation with a fixed speed of sound and calculate the density…

Quantum Physics · Physics 2010-04-22 L. H. Ford , N. F. Svaiter

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

Using test-particle simulations, we investigate the temporal dependence of the two-point velocity correlation function for charged particles scattering in a time-independent spatially fluctuating magnetic field derived from a…

High Energy Astrophysical Phenomena · Physics 2015-06-05 Federico Fraschetti , Joe Giacalone

We here analyse numerical simulations of supersonic, hypersonic and magnetohydrodynamic turbulence that is free to decay. Our goals are to understand the dynamics of the decay and the characteristic properties of the shock waves produced.…

Astrophysics · Physics 2007-05-23 Michael D. Smith , Mordecai-Mark Mac Low , Julia M. Zuev

Formation of vortex rings around moving spherical objects in superfluid He-4 at 0 K is modeled by time-dependent density functional theory. The simulations provide detailed information of the microscopic events that lead to vortex ring…

Other Condensed Matter · Physics 2018-10-17 A. Freund , D. Gonzalez , X. Buelna , F. Ancilotto , J. Eloranta

In this article, we report the equilibrium and nonequilibrium features of two-dimensional (2D) and three-dimensional (3D) Euler turbulence. To obtain a full range of equilibrium spectra, we perform pseudo-spectral simulations of Euler…

Fluid Dynamics · Physics 2023-07-13 Mahendra K. Verma , Soumyadeep Chatterjee

In this work we apply a local quantum field theory approach in order to analyse the connection between real-time observables and Euclidean thermal correlation functions. In particular, using data generated from the functional…

High Energy Physics - Phenomenology · Physics 2022-09-14 Peter Lowdon , Ralf-Arno Tripolt

We present a systematic study of the influence of different forcing types on the statistical properties of supersonic, isothermal turbulence in both the Lagrangian and Eulerian frameworks. We analyse a series of high-resolution,…

Fluid Dynamics · Physics 2014-11-27 Lukas Konstandin , Christoph Federrath , Ralf S. Klessen , Wolfram Schmidt

We study the properties of various Eulerian contributions to fluid particle acceleration by using well-resolved direct numerical simulations of isotropic turbulence, with the grid resolution as high as $12288^3$ and the Taylor-scale…

Fluid Dynamics · Physics 2023-03-16 Dhawal Buaria , Katepalli R. Sreenivasan

The spatial fluctuations of a superfluid flowing in a weak random potential are investigated. We employ classical field theory to demonstrate that the disorder-averaged nonequilibrium second-order correlation of the order parameter at zero…

Quantum Gases · Physics 2021-01-04 Taiki Haga , Masahito Ueda

We study the statistics of single particle Lagrangian velocity in a shell model of turbulence. We show that the small scale velocity fluctuations are intermittent, with scaling exponents connected to the Eulerian structure function scaling…

Chaotic Dynamics · Physics 2009-11-07 G. Boffetta , F. De Lillo , S. Musacchio

A numerical molecular dynamics experiment measuring the two-time correlation function of the transversal velocity field in the homogeneous cooling state of a granular gas is reported. By measuring the decay rate and the amplitude of the…

Statistical Mechanics · Physics 2009-11-13 J. J. Brey , M. I. Garcia de Soria , P. Maynar

We present results of numerical simulation of the direct cascade in two-dimensional hydrodynamic turbulence (with spatial resolution up to $16384 \times 16384$). If at the earlier stage (at the time of order of the inverse pumping growth…

Fluid Dynamics · Physics 2017-05-24 E. A. Kuznetsov , E. V. Sereshchenko

Taylor-Couette (TC) flow is used to probe the hydrodynamical stability of astrophysical accretion disks. Experimental data on the subcritical stability of TC are in conflict about the existence of turbulence (cf. Ji et al. Nature, 444,…

Fluid Dynamics · Physics 2017-04-21 Rodolfo Ostilla Mónico , Roberto Verzicco , Siegfried Grossmann , Detlef Lohse