Models of Turbulent Flows and Particle Dynamics

  • Jacek Pozorski
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 571)


Salient features of single-phase turbulent flow modelling are recalled first, including the closure problem, the statistical RANS models, the Lagrangian stochastic approach (one-point PDF method) together with its extension for near-wall turbulence, and the basics of Large-Eddy simulation (LES). In the second part of the chapter, two-phase dispersed turbulent flows in the Eulerian-Lagrangian approach are addressed. The issue of turbulent dispersion in RANS is succintly presented. Then, the subfilter dispersion in LES is discussed at length; functional and structural models are described, and some recent ideas about closures in terms of stochastic diffusion processes are discussed. Examples of computational results are presented for homogeneous isotropic and wall-bounded turbulence. At last, a specific modelling study of particle-laden channel flow is recalled where a low-order dynamical system with a reduced number of fluid velocity modes is constructed.


Probability Density Function Proper Orthogonal Decomposition Smooth Particle Hydrodynamic Proper Orthogonal Decomposition Mode Reynolds Stress Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



I am grateful to my colleagues and Ph.D. students for a common interest in this fascinating subject: Marta Wacławczyk, Mirosław Łuniewski, Maria Knorps and Christophe Henry at IMP Gdańsk, Claudine Béghein and Cyrille Allery at University of La Rochelle, Sourabh Apte at Oregon, Bogdan Rosa at IMGW Warsaw. I am most grateful to Jean-Pierre Minier (Electricité de France R & D, Chatou) for many stimulating discussions and common research on stochastic turbulence modelling over the years. I wish to express my sincere thanks to Professor Hans Kuerten (TU Eindhoven) for common insights and the kind permission to use his DNS code. The research presented here has partly been supported by the National Science Centre (NCN, Poland) through the project 2011/03/B/ST8/05677.


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© CISM International Centre for Mechanical Sciences 2017

Authors and Affiliations

  1. 1.Institute of Fluid-Flow Machinery, Polish Academy of SciencesGdańskPoland

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