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Similarity Solutions of Velocity Distributions in Homogeneous Isotropic Turbulence
Ran Zheng * #
Shanghai Institute of Applied Mathematics and Mechanics
*Correspondence author
#Submitted by
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Funding: none
Opened online: 5 May 2006
Accepted by: none
Citation: Ran Zheng.Similarity Solutions of Velocity Distributions in Homogeneous Isotropic Turbulence[OL]. [ 5 May 2006] http://en.paper.edu.cn/en_releasepaper/content/6505
 
 
The starting point for this paper lies in the results obtained by Tatsumi (2004) for isotropic turbulence with the self-preserving hypothesis. A careful consideration of the mathematical structure of the one-point velocity distribution function equation obtained by Tatsumi (2004) leads to an exact analysis of all possible cases and to all admissible solutions of the problem. This paper revisits this interesting problem from a new point of view. Firstly, a new complete set of solutions are obtained. Based on these exact solutions, some physically significant consequences of recent advances in the theory of homogenous statistical solution of the Navier-Stokes equations are presented. The comparison with former theory was also made. The origin of non-gaussian character could be deduced from the above exact solutions.
Keywords: isotropic turbulence, PDF, similarity solution
 
 
 

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