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The evolution of turbulent bursts: the b—ε model

Published online by Cambridge University Press:  26 September 2008

M. Bertsch ,
R. Dal Passo  and
R. Kersner
M. Bertsch
Affiliation:
Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca, Scientifica, 00133 Roma, Italy
R. Dal Passo
Affiliation:
Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca, Scientifica, 00133 Roma, Italy
R. Kersner
Affiliation:
Computer and Automation Institute of the Hungarian Academy of Sciences, P.O. Box 63, H-1518 Budapest, Hungary
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Abstract

We study the semi-empirical b—ε model which describes the time evolution of turbulent spots in the case of equal diffusivity of the turbulent energy density b and the energy dissipation rate ε. We prove that the system of two partial differential equations possesses a solution, and that after some time this solution exhibits self-similar behaviour, provided that the system has self-similar solutions. The existence of such self-similar solutions depends upon the value of a parameter of the model.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 5 , Issue 4 , December 1994 , pp. 537 - 557
Copyright
Copyright © Cambridge University Press 1994

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