2020
DOI: 10.3390/fluids5030108
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Stochastic Modelling of Turbulent Flows for Numerical Simulations

Abstract: Numerical simulations are a powerful tool to investigate turbulent flows, both for theoretical studies and practical applications. The reliability of a simulation is mainly dependent on the turbulence model adopted, and improving its accuracy is a crucial issue. In this study, we investigated the potential for an alternative formulation of the Navier–Stokes equations, based on the stochastic representation of the velocity field. The new approach, named pseudo-stochastic simulation (PSS), is a generalis… Show more

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Cited by 12 publications
(6 citation statements)
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References 46 publications
(73 reference statements)
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“…The European Environmental Protection Agency has collected more than 150 different models that allow us to predict the spread of impurities by interpolation and extrapolation of measured data. Most models are based on the theory of atmospheric diffusion of pollutants [13][14][15] and empirical-statistical analysis of the distribution of impurities using Gaussian interpolation models [16][17][18]. Gaussian models have been most widely used because of the simplicity and high accuracy of the calculation in the presence of minimal information about the state of the surface layer of the atmosphere.…”
Section: The Study Materials and Methodsmentioning
confidence: 99%
“…The European Environmental Protection Agency has collected more than 150 different models that allow us to predict the spread of impurities by interpolation and extrapolation of measured data. Most models are based on the theory of atmospheric diffusion of pollutants [13][14][15] and empirical-statistical analysis of the distribution of impurities using Gaussian interpolation models [16][17][18]. Gaussian models have been most widely used because of the simplicity and high accuracy of the calculation in the presence of minimal information about the state of the surface layer of the atmosphere.…”
Section: The Study Materials and Methodsmentioning
confidence: 99%
“…with ∆ the cut-off local cell length size, f d the Van Driest damping function for no-slip wall boundary condition and C S the Smagorinsky constant. This model is known to be highly robust but dissipative and a damping process using the closure relation for the turbulent stress tensor to compute the eddy viscosity in the core region with the dynamic Smagorinsky turbulence subgrid scale model is needed to reach a more accurate estimation of the dissipative scales correlated to the local level of turbulence [36,37]. Finally, filtered equations are solved using finite element approach with 2nd order numerical schemes.…”
Section: Computational Set-upmentioning
confidence: 99%
“…[ 1 ] In physical sciences, SDEs are used for describing quantum dynamics, [ 2 ] thermal effects, [ 3 ] molecular dynamics, [ 4 ] and they lie at the core of stochastic fluid dynamics. [ 5,6 ] In biology SDEs help in the studies of population dynamics [ 7 ] and epidemiology. [ 8,9 ] They can also help to detect anomalies.…”
Section: Introductionmentioning
confidence: 99%