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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…

流体动力学 · 物理学 2011-10-21 Stefania Scarsoglio , Francesca De Santi , Daniela Tordella

In three-dimensional hydrodynamic turbulence forced at large length scales, a constant energy flux $ \Pi_u $ flows from large scales to intermediate scales, and then to small scales. It is well known that for multiscale energy injection and…

流体动力学 · 物理学 2021-12-22 Mahendra K. Verma

According to Richardson's cascade description of turbulence, large vortices break up to form smaller ones, thereby transferring kinetic energy towards smaller scales. Energy dissipation occurs at the smallest scales due to viscosity. We…

混沌动力学 · 物理学 2018-04-12 Tamás Kalmár-Nagy , Bendegúz Dezső Bak

We study the long-time evolution of waves of a thin elastic plate in the limit of small deformation so that modes of oscillations interact weakly. According to the theory of weak turbulence a nonlinear wave system evolves in long-time…

统计力学 · 物理学 2007-05-23 Gustavo During , Christophe Josserand , Sergio Rica

An exact result concerning the energy transfers between non-linear waves of thin elastic plate is derived. Following Kolmogorov's original ideas in hydrodynamical turbulence, but applied to the F\"oppl-von K\'arm\'an equation for thin…

统计力学 · 物理学 2018-02-07 Gustavo Düring , Giorgio Krstulovic

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…

流体动力学 · 物理学 2025-02-21 Damiano Capocci

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…

流体动力学 · 物理学 2018-12-05 Manohar K. Sharma , Mahendra K. Verma , Sagar Chakraborty

We investigate spectral properties of buoyancy driven bubbly flows. Using high-resolution numerical simulations and phenomenology of homogeneous turbulence, we identify the relevant energy transfer mechanisms. We find: (a) At high enough…

流体动力学 · 物理学 2023-08-24 Vikash Pandey , Dhrubaditya Mitra , Prasad Perlekar

Large scale molecular dynamics simulations of freely decaying turbulence in three-dimensional space are reported. Fluid components are defined from the microscopic states by eliminating thermal components from the coarse-grained fields. The…

统计力学 · 物理学 2014-03-14 Teruhisa S. Komatsu , Shigenori Matsumoto , Takashi Shimada , Nobuyasu Ito

In practically all turbulent flows, turbulent energy decay is present and competes with numerous other phenomena. In Kolmogorov's theory, decay proceeds by transfer from large energy-containing scales towards small viscous scales through…

流体动力学 · 物理学 2007-05-23 Antoine Llor

In the context of space and astrophysical plasma turbulence and particle heating, several vocabularies emerge for estimating turbulent energy dissipation rate, including Kolmogorov-Yaglom third-order law and, in its various forms,…

Collective movements of bacteria exhibit a remarkable pattern of turbulence-like vortices, in which the Richardson cascade plays an important role. In this work, we examine the energy and enstrophy cascades and their associated lognormal…

流体动力学 · 物理学 2024-10-03 Yongxiang Huang

A temporal study of energy transfer across length scales is performed in 3D numerical simulations of homogeneous shear flow and isotropic turbulence. The average time taken by perturbations in the energy flux to travel between scales is…

流体动力学 · 物理学 2015-11-16 José I. Cardesa , Alberto Vela-Martín , Siwei Dong , Javier Jiménez

We investigate the effect of a dispersed bubble phase on forced homogeneous and isotropic turbulence using high-resolution high-performance simulations based on the lattice Boltzmann method. While the classical Kolmogorov energy cascade is…

流体动力学 · 物理学 2025-09-29 Andrea Montessori , Marco Lauricella , Aritra Mukherjee , Luca Brandt

The energy spectrum of superfluid turbulence is studied numerically by solving the Gross-Pitaevskii equation. We introduce the dissipation term which works only in the scale smaller than the healing length, to remove short wavelength…

其他凝聚态物理 · 物理学 2009-11-10 M. Kobayashi , M. Tsubota

Turbulent cascades characterize the transfer of energy injected by a random force at large scales towards the small scales. In hydrodynamic turbulence, when the Reynolds number is large, the velocity field of the fluid becomes irregular and…

The energy spectrum of the 3D velocity field, induced by collapsing vortex filaments is studied. One of the aims of this work is to clarify the appearance of the Kolmogorov type energy spectrum $E(k)\varpropto k^{-5/3}$, observed in many…

软凝聚态物质 · 物理学 2015-06-19 Sergey K. Nemirovskii

The Kolmogorov-Zakharov spectrum predicted by the Weak Turbulence Theory remains elusive for wave turbulence of flexural waves at the surface of an thin elastic plate. We report a direct measurement of the nonlinear timescale $T_{NL}$…

混沌动力学 · 物理学 2015-06-03 Benjamin Miquel , Nicolas Mordant

We extend the Kolmogorov phenomenology for the scaling of energy spectra in high-Reynolds number turbulence, to explicitly include the effect of helicity. There exists a time-scale $\tau_H$ for helicity transfer in homogeneous, isotropic…

混沌动力学 · 物理学 2009-11-10 Susan Kurien , Mark A. Taylor , Takeshi Matsumoto

Turbulence in a system of nonlinearly interacting waves is referred to as wave turbulence. It has been known since seminal work by Kolmogorov, that turbulent dynamics is controlled by a directional energy flux through the wavelength scales.…

流体动力学 · 物理学 2014-04-07 L. V. Abdurakhimov , I. A. Remizov , A. A. Levchenko , G. V. Kolmakov , Y. V. Lvov
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