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Low-fidelity analytical models of turbine wakes have traditionally been used for wind farm planning, performance evaluation, and demonstrating the utility of advanced control algorithms in increasing the annual energy production. In…

Fluid Dynamics · Physics 2022-08-26 Aditya H. Bhatt , Federico Bernardoni , Stefano Leonardi , Armin Zare

We analyze the deviations from Maxwell-Boltzmann statistics found in recent experiments studying velocity distributions in two-dimensional granular gases driven into a non-equilibrium stationary state by a strong vertical vibration. We show…

Statistical Mechanics · Physics 2009-11-07 Alain Barrat , Emmanuel Trizac

Over the past two decades scientists have achieved a significant improvement of our understanding of the transport of energetic particles across a mean magnetic field. Due to test-particle simulations as well as powerful non-linear…

Plasma Physics · Physics 2022-01-05 Andreas Shalchi

General scenario of turbulence theory is proposed and applied to streaky wall-bounded turbulence. This scenario introduces a new field of transverse waves. Significance of the theory rests on a mathematical theorem associated with the…

Fluid Dynamics · Physics 2017-11-29 Tsutomu Kambe

We conduct direct simulations of turbulent channels imposing different virtual origins for all three velocities using Robin, slip-like boundary conditions to study the effect of displacing the origins perceived by different flow components,…

A direct numerical simulation of incompressible channel flow at $Re_\tau$ = 5186 has been performed, and the flow exhibits a number of the characteristics of high Reynolds number wall-bounded turbulent flows. For example, a region where the…

Fluid Dynamics · Physics 2023-07-19 Myoungkyu Lee , Robert D. Moser

In this paper we review recent developments in the statistical theory of weakly nonlinear dispersive waves, the subject known as Wave Turbulence (WT). We revise WT theory using a generalisation of the random phase approximation (RPA). This…

Mathematical Physics · Physics 2007-05-23 Yeontaek Choi , Yuri V. Lvov , Sergey Nazarenko

This paper employs an input-output based approach to analyze convective velocities and the transport of fluctuations in turbulent channel flows. The convective velocity for a fluctuating quantity associated with streamwise-spanwise…

Fluid Dynamics · Physics 2021-11-16 Chang Liu , Dennice F. Gayme

This paper discusses a modified penetration theory where the time scale for the momentum wall layer is based on the onset of ejections from the wall but the time scale for the thermal layer is based on the unsteady state diffusion of heat…

Fluid Dynamics · Physics 2010-09-14 Trinh Khanh Tuoc

Based on the Tsallis entropy, the nonextensive thermodynamic properties are studied as a q-deformation of classical statistical results using only probabilistic methods and straightforward calculations. It is shown that the constant in the…

Statistical Mechanics · Physics 2007-05-23 Franck Jedrzejewski

We consider the statistical description of steady state fully developed incompressible fluid turbulence at the inertial range of scales in any number of spatial dimensions. We show that turbulence statistics is scale but not conformally…

High Energy Physics - Theory · Physics 2018-09-26 Yaron Oz

Nonequilibrium systems with large-scale fluctuations of a suitable system parameter are often effectively described by a superposition of two statistics, a superstatistics. Here we illustrate this concept by analysing experimental data of…

Statistical Mechanics · Physics 2009-11-11 C. Beck , E. G. D. Cohen , S. Rizzo

We unify two approaches that have been taken to explain the non-Gaussian probability distribution functions (PDFs) obtained in measurements of longitudinal velocity differences in turbulence, and we apply our approach to Couette-Taylor…

Soft Condensed Matter · Physics 2009-11-11 Sunghwan Jung , Harry L. Swinney

A general model for stationary, time-wise turbulent velocity is presented and discussed. This approach, inspired by modeling ideas of Barndorff-Nielsen and Schimgel, is coherent with the K41 hypothesis of local isotropy, and it allows us to…

Data Analysis, Statistics and Probability · Physics 2012-05-31 Vincenzo Ferrazzano , Claudia Klüppelberg

In order to improve the teaching of the course of statistical physics in universities, in this article we introduce nonextensive statistics, a new statistical theory about complex systems. We study the two modification coefficients a and b…

General Physics · Physics 2018-09-12 Lining Zheng , Jiulin Du

Turbulent flows in three dimensions are characterized by the transport of energy from large to small scales through the energy cascade. Since the small scales are the result of the nonlinear dynamics across the scales, they are often…

Fluid Dynamics · Physics 2025-03-19 Lukas Bentkamp , Michael Wilczek

Wall-bounded turbulence is characterized by coherent, worm-like structures such as hairpin vortices. The attached-eddy model provides a successful statistical framework for the log-law region, yet the complex geometry and multiscale nature…

Fluid Dynamics · Physics 2026-04-15 Weiyu Shen , Yuchen Ge , Zishuo Han , Yaomin Zhao , Yue Yang

New aspects of turbulence are uncovered if one considers flow motion from the perspective of a fluid particle (known as the Lagrangian approach) rather than in terms of a velocity field (the Eulerian viewpoint). Using a new experimental…

Fluid Dynamics · Physics 2009-11-07 N. Mordant , J. Delour , E. Leveque , A. Arneodo , J. -F. Pinton

For wall turbulence, there has been predicted a range of streamwise wavenumbers $k_x$ such that the spectral density of streamwise velocity fluctuations is proportional to $k_x^{-1}$. The existence or nonexistence of this $k_x^{-1}$ law is…

Fluid Dynamics · Physics 2019-03-15 H. Mouri , T. Morinaga , S. Haginoya

Turbulent wall flows offer the most direct means for understanding the effects of boundaries and viscosity on turbulent fluctuations. Available data on mean-square fluctuations in these flows show apparent contradiction with classical…

Fluid Dynamics · Physics 2025-08-05 Xi Chen , Katepalli R. Sreenivasan