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The classical statistics of turbulence are shown to be not specific to turbulence and can be derived from a solution for recurring unsteady state viscous flow. Care must be exercised in using them to make deductions about turbulence…

Fluid Dynamics · Physics 2010-01-14 Trinh Khanh Tuoc

Statistical properties of circulation encode relevant information about the multi-scale structure of turbulent cascades. Recent massive computational efforts have posed challenging theoretical issues, as the dependence of circulation…

Fluid Dynamics · Physics 2020-11-04 G. B. Apolinário , L. Moriconi , R. M. Pereira , V. J. Valadão

RooStats is a project to create advanced statistical tools required for the analysis of LHC data, with emphasis on discoveries, confidence intervals, and combined measurements. The idea is to provide the major statistical techniques as a…

Data Analysis, Statistics and Probability · Physics 2011-02-02 Lorenzo Moneta , Kevin Belasco , Kyle Cranmer , Sven Kreiss , Alfio Lazzaro , Danilo Piparo , Gregory Schott , Wouter Verkerke , Matthias Wolf

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

To achieve virtual certification for industrial design, quantifying the uncertainties in simulation-driven processes is crucial. We discuss a physics-constrained approach to account for epistemic uncertainty of turbulence models. In order…

Machine Learning · Computer Science 2023-07-12 Marcel Matha , Christian Morsbach

Developing optical systems for free-space applications requires simulation tools that accurately capture turbulence-induced wavefront distortions and support gradient-based optimization. Here we introduce TurPy, a GPU-accelerated, fully…

We investigate the potential of a recently proposed model for 3D compressible MHD turbulence (Chevillard et al. 2010; Durrive et al. 2021) to be used as a tool to characterize statistically 2D and 3D turbulent data. This model is…

Astrophysics of Galaxies · Physics 2021-01-19 J. -B. Durrive , P. Lesaffre , T. Ghosh , B. Regaldo-Saint Blancard

Air turbulence refers to the disordered and irregular motion state generated by drastic changes in velocity, pressure, or direction during airflow. Various complex factors lead to intricate low-altitude turbulence outcomes. Under current…

Machine Learning · Computer Science 2025-12-08 Yingang Fan , Binjie Ding , Baiyi Chen

The recent 1/2-equation model of turbulence is a simplification of the standard Kolmogorov-Prandtl 1-equation URANS model. Surprisingly, initial numerical tests indicated that the 1/2-equation model produces comparable velocity statistics…

Numerical Analysis · Mathematics 2024-05-31 Wei-Wei Han , Rui Fang , William Layton

Since Lorenz's seminal work on a simplified weather model, the numerical analysis of nonlinear dynamical systems has become one of the main subjects of research in physics. Despite of that, there remains a need for accessible, efficient,…

We propose and validate a novel experimental technique to measure two-point statistics of turbulent flows. It consists in spreading rigid fibers in the flow and tracking their position and orientation in time and therefore been named…

A geometrical method is used for the analysis of stochastic processes in plasma turbulence. Distances between thermodynamic states can be computed according the thermodynamic length methodology which allows the use of a Riemannian metric on…

Plasma Physics · Physics 2023-06-28 A. D. Papadopoulos , J. Anderson , E-J. Kim , M. Mavridis , H. Isliker

Synthetic turbulence models are a useful tool that provide realistic representations of turbulence, necessary to test theoretical results, to serve as background fields in some numerical simulations, and to test analysis tools. Models of 1D…

Fluid Dynamics · Physics 2016-11-15 Francesco Malara , Francesca Di Mare , Giuseppina Nigro , Luca Sorriso-Valvo

Understanding the properties of interstellar turbulence is a great intellectual challenge and the urge to solve this problem is partially motivated by a necessity to explain the star formation mystery. This review deals with a recently…

Astrophysics · Physics 2007-05-23 A. Lazarian

The complex small-scale statistics of turbulence are a result of the combined cascading dynamics through all scales of the flow. Predicting these statistics using fully resolved simulations at the high Reynolds numbers that typically occur…

Fluid Dynamics · Physics 2025-07-01 Lukas Bentkamp , Michael Wilczek

This report proposes a new method to study vortex tubes in one-dimensional velocity data of experimental turbulence. Vortex tubes are detected as local maxima on the scale-space plot of wavelet transforms of the velocity data. Then it is…

Fluid Dynamics · Physics 2009-11-07 H. Mouri , M. Takaoka

VarStar Detect is a Python package available on PyPI optimized for the detection of variability inside photometric measurements. Based off of the Least Squares method of regression, VarStar Detect calculates the amplitude of a Fourier…

Instrumentation and Methods for Astrophysics · Physics 2023-01-16 Jorge Perez Gonzalez , Nicolas Carrizosa Arias , Andres Cadenas Blanco

Traditionally, single realizations of the turbulent state have been the object of study in shear flow turbulence. When a statistical quantity was needed it was obtained from a spatial, temporal or ensemble average of sample realizations of…

Fluid Dynamics · Physics 2022-10-27 Brian F. Farrell , Petros J. Ioannou

The statistical mechanical description of two-dimensional inviscid fluid turbulence is reconsidered. Using this description, we make predictions about turbulent flow in a rapidly rotating laboratory annulus. Measurements on the continuously…

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

When very small particles are suspended in a fluid in motion, they tend to follow the flow. How such tracer particles are mixed, transported, and dispersed by turbulent flow has been successfully described by statistical models. Heavy…

Fluid Dynamics · Physics 2023-12-21 J. Bec , K. Gustavsson , B. Mehlig