Author： Karakas A Kollmann W
Publisher： Taylor & Francis Ltd
ISSN： 1364-7830
Source： Combustion Theory and Modelling, Vol.7, Iss.3, 2003-09, pp. : 471-485
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
A systematic exposition of single-point pdf methods for reacting flows based on cumulant expansion techniques is carried out. A second order approximation for the pdf equation is established. It is shown that transport in velocity-scalar space is governed by drift and diffusion formally consistent with the Fokker–Planck equation. The main result is the explicit representation of the diffusivity as a time integral over Lagrangian two-time correlations. This diffusivity is not positive definite, hence the width of the pdf may be reduced or increased depending on the evolution of the diffusivity. The relation of the present approach to the standard method is discussed for the example of the single scalar pdf.
Related content
Cumulant expansion for systems with large spins
By Kladko K. Fulde P. Garanin D. A.
EPL (EUROPHYSICS LETTERS), Vol. 46, Iss. 4, 2010-03 ,pp. :
Access to resources
Recommend
Non gaussian distributions in disordered systems studied by the cumulant expansion of EXAFS
Le Journal de Physique IV, Vol. 02, Iss. C2, 1992-10 ,pp. :
Comparing Peak Asymmetries in EXAFS using RMC and CumulantExpansion Data Analysis
Le Journal de Physique IV, Vol. 7, Iss. C2, 1997-04 ,pp. :
Lyapunov exponent of the random frequency oscillator: cumulant expansion approach
Journal of Physics: Conference Series , Vol. 246, Iss. 1, 2010-09 ,pp. :
Access to resources