A three-dimensional stochastic model for concentration fluctuation statistics in isotropic homogeneous turbulence
type: Item
instance of: scholarly article
title: A three-dimensional stochastic model for concentration fluctuation statistics in isotropic homogeneous turbulence
zbMATH Open document ID: 0656.76053
DOI: 10.1016/0021-9991(88)90019-8
author: S. H. Smith
published in: Journal of Computational Physics
publication date: 1988-01-01T00:00:00Z
review text: A three-dimensional model for prediction of concentration fluctuations in isotropic homogeneous turbulence is presented. The model is based on calculating the Lagrangian trajectories of a particle pair, taking into accout the interaction between the particle velocities. The velocity correlation function at a given instant is taken as the Eulerian one. This correlation function is constrained to obey the continuity condition, due to the fluid incompressibility. The proposed model was used to study concentration fluctuations for three different sources: A uniform sphere, a plane source and a line source. Results for the plane source differ from those predicted by the one-dimensional model. This difference may be attributed to the compressibility condition in the one- dimensional model [\textit{P. A. Durbin}, J. Fluid, Mech. 100, 279-302 (1980; Zbl 0457.76042)].
Mathematics Subject Classification ID: 76F05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4072599
zbMATH Keywords: three-dimensional model
zbMATH Keywords: prediction of concentration fluctuations
zbMATH Keywords: isotropic homogeneous turbulence
zbMATH Keywords: Lagrangian trajectories
MaRDI profile type: Publication
full work available at URL: 0021-9991(88)90019-8
OpenAlex ID: W2039123576
cites work: Q5811867
cites work: A stochastic model of two-particle dispersion and concentration fluctuations in homogeneous turbulence
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cites work: Q5523565
cites work: Effects of turbulence structure, molecular diffusion and source size on scalar fluctuations in homogeneous turbulence
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description: scientific article; zbMATH DE number 4072599