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The observational record of turbulence within the molecular gas phase of the interstellar medium is summarized. We briefly review the analysis methods used to recover the velocity structure function from spectroscopic imaging and the…

天体物理学 · 物理学 2009-11-11 M. H. Heyer , C. Brunt

We study Lagrangian statistics of the magnitudes of velocity and pressure gradients in isotropic turbulence by quantifying their correlation functions and their characteristic time scales. It has been found that the Lagrangian…

流体动力学 · 物理学 2009-12-18 Huidan Yu , Charles Meneveau

Exact solutions of conformal turbulence restricted on a upper half plane are obtained. We show that the inertial range of homogeneous and isotropic turbulence with constant enstrophy flux develops in a distant region from the boundary. Thus…

高能物理 - 理论 · 物理学 2010-02-05 B. K. Chung , Soonkeon Nam , Q-Han Park , H. J. Shin

The Kolmogorov scaling law of turbulences has been considered the most important theoretical breakthrough in the last century. It is an essential approach to analyze turbulence data present in meteorological, physical, chemical, biological…

数学物理 · 物理学 2007-05-23 W. Chen , H. B. Zhou

Influence of statistically stationary, homogeneous, and isotropic turbulence on the mean area of a passive self-propagating front and, hence, on the rate of fluid consumption by the front is analysed in the case of asymptotically high…

流体动力学 · 物理学 2018-06-27 Vladimir A. Sabelnikov , Andrei N. Lipatnikov

We show that the classical Kolmogorov and Richardson scaling laws in fully developed turbulence are consistent with a random Gaussian force field. Numerical simulations of a shell model approximation to the Navier-Stokes equations suggest…

混沌动力学 · 物理学 2009-11-13 Mogens H. Jensen , Kim Sneppen , Luiza Angheluta

We generate random Gaussian turbulent velocity fields with a Kolmogorov spectrum and use these to obtain synthetic line-of-sight velocity profiles. The profiles are found to be similar to line profiles observed in molecular clouds. We…

天体物理学 · 物理学 2016-08-30 John Dubinski , Ramesh Narayan , T. G. Phillips

Conditional elimination of degrees of freedom is shown to lead to an exact expression for the rate of turbulent energy dissipation in terms of a renormalized viscosity and a correction. The correction is neglected on the basis of a previous…

凝聚态物理 · 物理学 2009-10-31 C. Johnston , W. D. McComb

The present note contains the text of lectures discussing the problem of universality in fully developed turbulence. After a brief description of Kolmogorov's 1941 scaling theory of turbulence and a comparison between the statistical…

chao-dyn · 物理学 2015-06-24 Krzysztof Gawedzki , Antti Kupiainen

A major challenge in turbulence research is to understand from first principles the origin of anomalous scaling of the velocity fluctuations in high-Reynolds-number turbulent flows. One important idea was proposed by Kolmogorov [J. Fluid…

混沌动力学 · 物理学 2008-04-17 Emily S. C. Ching , H. Guo , T. S. Lo

We present measurements of fluid particle accelerations in turbulent water flows between counter-rotating disks using three-dimensional Lagrangian particle tracking. By simultaneously following multiple particles with…

流体动力学 · 物理学 2007-12-31 Haitao Xu , Nicholas T. Ouellette , Dario Vincenzi , Eberhard Bodenschatz

Turbulence is a key element of the dynamics of astrophysical fluids, including those of interstellar medium, clusters of galaxies and circumstellar regions. Turbulent motions induce Doppler shifts of observable emission and absorption lines…

天体物理学 · 物理学 2009-03-27 A. Chepurnov , A. Lazarian

We consider particle acceleration by large-scale incompressible turbulence with a lengthscale larger than the particle mean free path. We derive an ensemble-averaged transport equation of energetic charged particles from an extended…

高能天体物理现象 · 物理学 2015-06-12 Yutaka Ohira

We report experimental measurements of Lagrangian accelerations in the bulk of intense turbulent flows of dilute polymer solutions by following tracer particles with a high-speed optical tracking system. We observed a significant decrease…

流体动力学 · 物理学 2009-11-13 Alice M. Crawford , Nicolas Mordant , Haitao Xu , Eberhard Bodenschatz

The addition of polymers fundamentally alters the dynamics of turbulent flows in a way that defies Kolmogorov predictions. However, we now present a formalism that reconciles our understanding of polymeric turbulence with the classical…

流体动力学 · 物理学 2024-10-15 Alessandro Chiarini , Rahul K. Singh , Marco E. Rosti

In order to study the nature, origin, and impact of turbulent velocity fluctuations in the ionized gas of the Orion Nebula, we apply a variety of statistical techniques to observed velocity cubes. The cubes are derived from high resolving…

星系天体物理 · 物理学 2016-09-07 S. J. Arthur , S. -N. X. Medina , W. J. Henney

Herein,we numerically examine the relative dispersion of Lagrangian particle pairs in two-dimensional inverse energy-cascade turbulence. Behind the Richardson-Obukhov $t^3$ law of relative separation, we discover that the second-order…

流体动力学 · 物理学 2022-07-06 Tatsuro Kishi , Takeshi Matsumoto , Sadayoshi Toh

We introduce a shell model of turbulence featuring intermittent behaviour with anomalous power-law scaling of structure functions. This model is solved analytically with the explicit derivation of anomalous exponents. The solution…

流体动力学 · 物理学 2021-11-09 Alexei A. Mailybaev

The lectures presented by one of us (IP) at the Les Houches summer school dealt with the scaling properties of high Reynolds number turbulence in fluid flows. The results presented are available in the literature and there is no real need…

chao-dyn · 物理学 2016-08-31 Victor L'vov , Itamar Procaccia

In this work, we present three important theorems related to the corrected Smagorinsky model for turbulence in time-dependent domains. The first theorem establishes an improved regularity criterion for the solution of the corrected…

偏微分方程分析 · 数学 2024-12-24 Rômulo Damasclin Chaves dos Santos