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Modeling of wall-bounded turbulent flows is still an open problem in classical physics, with only modest progress made in the last few decades beyond the so-called `log law', which describes only the intermediate region in wall-bounded…

流体动力学 · 物理学 2018-08-31 Fangying Song , George Em Karniadakis

Numerical evidence of non-diffusive transport in three-dimensional, resistive pressure-gradient-driven plasma turbulence is presented. It is shown that the probability density function (pdf) of test particles' radial displacements is…

等离子体物理 · 物理学 2009-11-10 D. del-Castillo-Negrete , B. A. Carreras , V. E. Lynch

We report on probability-density-functions (PDF) of the mass density in numerical simulations of highly compressible hydrodynamic flows and the corresponding structure formation of Lagrangian particles advected by the flows. Numerical…

流体动力学 · 物理学 2009-11-13 Christoph Beetz , Christian Schwarz , Jürgen Dreher , Rainer Grauer

Given a sample of independent and identically distributed random variables, a novel nonparametric maximum entropy method is presented to estimate the underlying continuous univariate probability density function (pdf). Estimates are found…

概率论 · 数学 2016-06-30 Jenny Farmer , Donald J. Jacobs

We have discovered analytical expressions for the probability density function (PDF) of photons that are multiply scattered in relativistic flows, under the assumption of isotropic and inelastic scattering. These expressions characterize…

The transport coefficients for dilute granular gases of inelastic and rough hard disks or spheres with constant coefficients of normal ($\alpha$) and tangential ($\beta$) restitution are obtained in a unified framework as functions of the…

软凝聚态物质 · 物理学 2021-09-14 Alberto Megías , Andrés Santos

The way the increment statistics of turbulent velocity fluctuations scale with the increment size is a centerpiece of turbulence theories. We report data on decaying turbulence in the Max Planck Variable Density Turbulence Tunnel (VDTT),…

流体动力学 · 物理学 2022-03-07 Christian Küchler , Eberhard Bodenschatz , Gregory P. Bewley

We examine the Markov properties of the three velocity components of a turbulent flow generated by a DNS simulation of the flow around an airfoil section. The spectral element code Nektar has been used to generate a well resolved flow field…

流体动力学 · 物理学 2010-12-01 Bernhard Stoevesandt , Andrei Shishkin , Robert Stresing , Claus Wagner , Joachim Peinke

The evolution of probability distribution functions (PDFs) of continuous density, velocity and velocity derivatives ( deformation tensor) fields in the theory of cosmological gravitational instability are considered. We show that in the…

天体物理学 · 物理学 2007-05-23 Lev Kofman

In star-forming clouds, high velocity flow gives rise to large fluctuations of density. In this work we explore the correlation between velocity magnitude (speed) and density. We develop an analytic formula for the joint probability…

星系天体物理 · 物理学 2023-08-02 Branislav Rabatin , David C. Collins

Predicting particle-laden flows requires accurate fluid force models. However, a reliable particle force model for finite-size particles in turbulent flows remains lacking. In the present work, a fluid force model for a finite-size…

流体动力学 · 物理学 2025-05-29 Yuqi Wang , Ruifeng Hu

The probability density function (PDF) of a random variable associated with the solution of a partial differential equation (PDE) with random parameters is approximated using a truncated series expansion. The random PDE is solved using two…

数值分析 · 数学 2021-01-25 Giacomo Capodaglio , Max Gunzburger , Henry P. Wynn

Using a probabilistic neural network and Lagrangian observations from the Global Drifter Program, we model the single particle transition probability density function (pdf) of ocean surface drifters. The transition pdf is represented by a…

大气与海洋物理 · 物理学 2023-07-12 Martin T. Brolly

We compare velocity structure in the Polaris Flare molecular cloud at scales ranging from 0.015 pc to 20 pc to simulations of supersonic hydrodynamic and MHD turbulence computed with the ZEUS MHD code. We use several different statistical…

天体物理学 · 物理学 2007-05-23 Volker Ossenkopf , Mordecai-Mark Mac Low

A composite representation of the turbulent boundary-layer velocity profile is proposed, which combines a recently determined accurate interpolation of the universal law of the wall with a simple analytical expression of the smooth…

流体动力学 · 物理学 2017-09-05 Paolo Luchini

Supersonic turbulence occurs in many environments, particularly in astrophysics. In the crucial case of isothermal turbulence, the probability density function (PDF) of the logarithmic density, $s$, is well measured, but a theoretical…

星系天体物理 · 物理学 2024-10-31 Evan Scannapieco , Liubin Pan , Edward Buie , Marcus Brüggen

We study the behaviour of the streamwise velocity variance in turbulent wall-bounded flows using a DNS database of pipe flow up to $Re_{\tau} \approx 12000$. The analysis of the spanwise spectra in the viscous near-wall region strongly…

流体动力学 · 物理学 2024-11-20 Sergio Pirozzoli

The possibility to derive an equation for the mean velocity field in turbulent flow by using classical statistical mechanics is investigated. An application of projection operator technique available in the literature is used for this…

经典物理 · 物理学 2007-05-23 J. Piest

This application paper presents a comprehensive experimental evaluation of the suitability of Topological Data Analysis (TDA) for the quantitative comparison of turbulent flows. Specifically, our study documents the usage of the persistence…

The inverse structure functions of exit distances have been introduced as a novel diagnostic of turbulence which emphasizes the more laminar regions [1-4]. Using Taylor's frozen field hypothesis, we investigate the statistical properties of…

流体动力学 · 物理学 2007-05-23 W. -X. Zhou , D. Sornette , W. -K. Yuan