Dynamical simulation and statistical analysis of velocity fluctuations of a turbulent flow behind a cube
type: Item
instance of: scholarly article
title: Dynamical simulation and statistical analysis of velocity fluctuations of a turbulent flow behind a cube
zbMATH Open document ID: 1360.76110
DOI: 10.1155/2007/24627
author: T. F. Oliveira
author: R. B. Miserda
author: F. R. Cunha
published in: Mathematical Problems in Engineering
publication date: 2008-11-24T00:00:00Z
review text: Summary: A statistical approach for the treatment of turbulence data generated by computer simulations is presented. A model for compressible flows at large Reynolds numbers and low Mach numbers is used for simulating a backward-facing step airflow. A scaling analysis has justified the commonly used assumption that the internal energy transport due to turbulent velocity fluctuations and the work done by the pressure field are the only relevant mechanisms needed to model subgrid-scale flows. From the numerical simulations, the temporal series of velocities are collected for ten different positions in the flow domain, and are statistically treated. The statistical approach is based on probability averages of the flow quantities evaluated over several realizations of the simulated flow. We look at how long of a time average is necessary to obtain well-converged statistical results. For this end, we evaluate the mean-square difference between the time average and an ensemble average as the measure of convergence. This is an interesting question since the validity of the ergodic hypothesis is implicitly assumed in every turbulent flow simulation and its analysis. The ergodicity deviations from the numerical simulations are compared with theoretical predictions given by scaling arguments. A very good agreement is observed. Results for velocity fluctuations, normalized autocorrelation functions, power spectra, probability density distributions, as well as skewness and flatness coefficients are also presented.
Mathematics Subject Classification ID: 76F99
zbMATH DE Number: 5371811
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2007/24627
OpenAlex ID: W2043562116
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description: scientific article; zbMATH DE number 5371811