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We investigate the nature of information flow in turbulence from an information-thermodynamic viewpoint. For the fully developed three-dimensional fluid turbulence described by the fluctuating Navier-Stokes equation, we prove that…

Statistical Mechanics · Physics 2023-10-10 Tomohiro Tanogami , Ryo Araki

Recent theoretical progress using multiscale asymptotic analysis has revealed various possible regimes of stratified turbulence. Notably, buoyancy transport can either be dominated by advection or diffusion, depending on the effective…

Fluid Dynamics · Physics 2024-11-20 Pascale Garaud , Greg P. Chini , Laura Cope , Kasturi Shah , Colm-cille P. Caulfield

Coherent structures/motions in turbulence inherently give rise to intermittent signals with sharp peaks, heavy-skirt, and skewed distributions of velocity increments, highlighting the non-Gaussian nature of turbulence. That suggests that…

Computational Engineering, Finance, and Science · Computer Science 2019-09-24 Mehdi Samiee , Ali Akhavan-Safaei , Mohsen Zayernouri

We propose a new model of turbulence for use in large-eddy simulations (LES). The turbulent force, represented here by the turbulent Lamb vector, is divided in two contributions. The contribution including only subfilter fields is…

Fluid Dynamics · Physics 2009-11-11 Jean-Philippe Laval , Berengere Dubrulle

In fairly general conditions we give explicit (smooth) solutions for the potential flow. We show that, rigorously speaking, the equations of the fluid mechanics have not rotational solutions. However, within the usual approximations of an…

Fluid Dynamics · Physics 2023-09-21 Marian Apostol

The question of whether significant sub-volumes of a turbulent flow can be identified by automatic means, independently of a-priori assumptions, is addressed using the example of two-dimensional decaying turbulence. Significance is defined…

Fluid Dynamics · Physics 2018-09-10 Javier Jimenez

A phenomenological turbulence model in which the energy spectrum obeys a nonlinear diffusion equation is presented. This equation respects the scaling properties of the original Navier-Stokes equations and it has the Kolmogorov -5/3 cascade…

Fluid Dynamics · Physics 2007-05-23 Colm Connaughton , Sergey Nazarenko

Fully-developed incompressible Navier-Stokes turbulence in three dimensions is a dissipative dynamical system that exhibits strong departure from absolute equilibrium. Nevertheless, several kinds of representation by Tsallis equilibria have…

Chaotic Dynamics · Physics 2009-11-10 Toshiyuki Gotoh , Robert H. Kraichnan

We solve the advection-diffusion equation for a stochastically stationary passive scalar $\theta$, in conjunction with forced 3D Navier-Stokes equations, using direct numerical simulations in periodic domains of various sizes, the largest…

Fluid Dynamics · Physics 2021-11-19 Dhawal Buaria , Matthew P. Clay , Katepalli R. Sreenivasan , P. K. Yeung

We accomplish two major tasks. First, we show that the turbulent motion at large scales obeys Gaussian statistics in the interval 0 < Rlambda < 8.8, where Rlambda is the microscale Reynolds number, and that the Gaussian flow breaks down to…

Fluid Dynamics · Physics 2021-06-23 K. R. Sreenivasan , V. Yakhot

We study the turbulent flow of the density-stratified fluid around a small translating (either passively or self-propelled) particle. It was found recently [A. M. Ardekani and R. Stocker, Phys. Rev. Lett. vol. 105, 084502 (2010)] that…

Fluid Dynamics · Physics 2014-11-26 Itzhak Fouxon , Alexander Leshansky

A new velocity scale is derived that yields a Reynolds number independent profile for the streamwise turbulent fluctuations in the near-wall region of wall bounded flows for $y^+<25$. The scaling demonstrates the important role played by…

Fluid Dynamics · Physics 2024-02-06 Marcus Hultmark , Alexander J. Smits

We analyse the scaling properties of the energy spectra in fully developed incompressible turbulence in forced, rotating fluids in three dimensions (3D), which are believed to be characterised by universal scaling exponents in the inertial…

Statistical Mechanics · Physics 2022-12-02 Abhik Basu , Jayanta K Bhattacharjee

Despite the nonlinear nature of wall turbulence, there is evidence that the energy-injection mechanisms sustaining wall turbulence can be ascribed to linear processes. The different scenarios stem from linear stability theory and comprise…

Based on ideas by Woodward et al., a subgrid scale model that is applicable to highly compressible turbulence is presented. Applying the subgrid scale model in large eddy simulations of forced supersonic turbulence, the bottleneck effect is…

Astrophysics of Galaxies · Physics 2009-10-02 Wolfram Schmidt

The influence of turbulent effects on a fluid flow through a (pseudo) porous media is studied by numerically solving the set of Reynolds-averaged Navier-Stokes equations with the $\kappa$-$\epsilon$ model for turbulence. The spatial domains…

Statistical Mechanics · Physics 2009-11-07 H. H. M. Vasconcelos , U. M. S. Costa , M. P. Almeida

Empirical observations show that turbulence exhibits a broad range of scaling exponents, characterizing how the velocity gradients diverge in the inviscid limit. These exponents are thought to be linked to singular solutions of the Euler…

Chaotic Dynamics · Physics 2025-11-11 Guillaume Costa , Amaury Barral , Adrien Lopez , Quentin Pikeroen , Bérengère Dubrulle

Turbulence -- ubiquitous in nature and engineering alike [1-5] -- is traditionally viewed as an intrinsically inertial phenomenon, emerging only when the Reynolds number (Re), which quantifies the ratio of inertial to dissipative forces…

Fluid Dynamics · Physics 2025-11-11 Ziyue Yu , Xinyu Si , Lei Fang

Turbulence governed by the Navier-Stokes equations shows a tendency to evolve towards a state in which the nonlinearity is diminished. In fully developed turbulence this tendency can be measured by comparing the variance of the nonlinear…

Fluid Dynamics · Physics 2014-01-16 Wouter Bos , Robert Rubinstein

The dimensionality of turbulence in fluid layers determines their properties. We study electromagnetically driven flows in finite depth fluid layers and show that eddy viscosity, which appears as a result of three-dimensional motions, leads…

Fluid Dynamics · Physics 2010-12-27 M. Shats , D. Byrne , H. Xia