Journal ArticleDOI
Distribution Functions in the Statistical Theory of Turbulence
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In this paper, a hierarchy of coupled equations for multipoint turbulent velocity distribution functions is derived, which resemble the Bogoliubov-Born-Green-Kirkwood-Yvon equations of kinetic gas theory.Abstract:
A hierarchy of coupled equations for multipoint turbulent velocity distribution functions is derived. These equations resemble the Bogoliubov‐Born‐Green‐Kirkwood‐Yvon equations of kinetic gas theory. The properties of the distribution functions and the equations are discussed and compared with kinetic theory.read more
Citations
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Journal ArticleDOI
Turbulent combustion modeling
Denis Veynante,Luc Vervisch +1 more
TL;DR: In this paper, the main issues and related closures of turbulent combustion modeling are reviewed and a review of the models for non-premixed turbulent flames is given, along with examples of numerical models for mean burning rates for premixed turbulent combustion.
Journal ArticleDOI
Progress in probability density function methods for turbulent reacting flows
TL;DR: Probability density function (PDF) methods have been widely used for modeling chemically reacting turbulent flows as discussed by the authors, where one models and solves an equation that governs the evolution of the one-point, one-time PDF for a set of variables that determines the local thermochemical and/or hydrodynamic state of a reacting system.
Journal ArticleDOI
Turbulent combustion modelling
TL;DR: A review of the current state of the art in turbulent combustion modelling can be found in this article, where the authors present physical and experimental knowledge of the structure of turbulent flames in order to help the further discussions of models on a physical basis.
Journal ArticleDOI
Calculation methods for reacting turbulent flows: A review
W.P. Jones,J. H. Whitelaw +1 more
TL;DR: In this paper, the authors present a review of the main components of calculation methods, based on the solution of conservation equations in differential form, for the velocity, temperature and concentration fields in turbulent combusting flows.
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Filtered density function for large eddy simulation of turbulent reacting flows
TL;DR: In this article, the effects of the unresolved scalar fluctuations are taken into account by considering the probability density function (PDF) of subgrid scale (SGS) scalar quantities, and a transport equation is derived for the FDF in which the effect of chemical reactions appears in a closed form.
References
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Book
The theory of homogeneous turbulence
TL;DR: In this article, the kinematics of the field of homogeneous turbulence and the universal equilibrium theory of decay of the energy-containing eddies are discussed. But the authors focus on the dynamics of decay and not on the probability distribution of u(x).
Journal ArticleDOI
Fundamental Problems in Statistical Mechanics
E. G. D. Cohen,Nandor L. Balazs +1 more