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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…

流体动力学 · 物理学 2020-03-04 Michele Buzzicotti , Luca Biferale , Federico Toschi

Scaling exponents of the longitudinal and transversal velocity structure functions in numerical Navier-Stokes turbulence simulations with Taylor-Reynolds numbers up to $\rel = 110$ are determined by the extended self similarity method. We…

chao-dyn · 物理学 2009-10-30 Siegfried Grossmann , Detlef Lohse , Achim Reeh

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…

混沌动力学 · 物理学 2020-12-02 John D. Gibbon

Large Eddy Simulation (LES) is a very useful tool when simulating turbulent flows if we are only interested in its "larger" scales. One of the possible ways to derive the LES equations is to apply a filter operator to the Navier-Stokes…

偏微分方程分析 · 数学 2017-03-14 José M. Rodríguez , Raquel Taboada-Vázquez

We study the statistics of the vorticity field in two-dimensional Navier-Stokes turbulence with a linear Ekman friction. We show that the small-scale vorticity fluctuations are intermittent, as conjectured by Nam et al. [Phys. Rev. Lett.…

混沌动力学 · 物理学 2009-11-07 G. Boffetta , A. Celani , S. Musacchio , M. Vergassola

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

Among existing subgrid scale models for large-eddy simulation (LES) some are time-reversible in the sense that the dynamics evolve backwards in time after a transformation $\bm u \rightarrow -\bm u$ at every point in space. In practice,…

流体动力学 · 物理学 2015-06-03 Le Fang , Wouter Bos , Liang Shao , Jean-Pierre Bertoglio

Random advection of Lagrangian tracer scalar field $\theta (t,x)$ by a one-dimensional, spatially smooth and short-correlated in time velocity field is considered. Scalar fluctuations are maintained by a source concentrated at the integral…

chao-dyn · 物理学 2009-10-30 M. Chertkov , I. Kolokolov , M. Vegrassola

A simplified Lagrangean closure for the Navier-Stokes equation is used to study the production of intermittency in the inertial range of three dimensional turbulence. This is done using localized wavepackets following the fluid rather than…

chao-dyn · 物理学 2009-10-22 Piero Olla

In Navier--Stokes (NS) turbulence, large-scale turbulent flows inevitably determine small-scale flows. Previous studies using data assimilation with the three-dimensional NS equations indicate that employing observational data resolved down…

流体动力学 · 物理学 2026-03-11 Masanobu Inubushi , Colm-cille P. Caulfield

With the continuing progress in large eddy simulations (LES), and ever increasing computational resources, it is currently possible to numerically solve the time-dependent and anisotropic large scales of turbulence in a large variety of…

流体动力学 · 物理学 2021-12-14 Ryan D. Hass , Aditya S. Ghate , Sanjiva K. Lele

Current design constraints have encouraged the studies of aeroacoustics fields around compressible jet flows. The present work addresses the numerical study of subgrid scale modeling for unsteady turbulent jet flows as a preliminary step…

流体动力学 · 物理学 2023-01-03 Carlos Junqueira-Junior , Sami Yamouni , Joao Luiz F. Azevedo , William Wolf

We review the Parisi-Frisch MultiFractal formalism for Navier--Stokes turbulence with particular emphasis on the issue of statistical fluctuations of the dissipative scale. We do it for both Eulerian and Lagrangian Turbulence. We also show…

混沌动力学 · 物理学 2015-05-13 R. Benzi , L. Biferale

Based on the characteristics of the multi-scale and similarity at different scales in turbulent flow, we propose a scale decomposition for solving the turbulence problem of incompressible Newtonian fluid. The solution domain is decomposed…

流体动力学 · 物理学 2023-02-21 Shanwen Tan

We revisit the issue of whether thermal fluctuations are relevant for incompressible fluid turbulence, and estimate the scale at which they become important. As anticipated by Betchov in a prescient series of works more than six decades…

流体动力学 · 物理学 2021-11-18 Gregory Eyink , Dmytro Bandak , Nigel Goldenfeld , Alexei A. Mailybaev

We consider the intermittent behavior of superfluid turbulence in $^4$He. Due to the similarity in the nonlinear structure of the two-fluid model of superfluidity and the Euler and Navier-Stokes equations one expects the scaling exponents…

统计力学 · 物理学 2015-06-05 Laurent Boué , Victor L'vov , Anna Pomyalov , Itamar Procaccia

We study small-scale and high-frequency turbulent fluctuations in three-dimensional flows under Fourier-mode reduction. The Navier-Stokes equations are evolved on a restricted set of modes, obtained as a projection on a fractal or…

Mechanical effects that span multiple physical scales -- such as the influence of vanishing molecular viscosity on large-scale flow structures under specific conditions -- play a critical role in real fluid systems. The spin angular…

流体动力学 · 物理学 2025-10-14 Satori Tsuzuki

Here we show that passive scalars possess a hidden scaling symmetry when considering suitably rescaled fields. Such a symmetry implies (i) universal probability distribution for scalar multipliers and (ii) Perron-Frobenius scenario for the…

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…

混沌动力学 · 物理学 2009-11-11 C. M. Casciola , P. Gualtieri , B. Jacob , R. Piva