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On the inner turbulence paradigm

Authors :
Nikolay N Yakovlev
Evgeniy A Lukashev
Evgeniy V Radkevich
Vladimir V Palin
Source :
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 19, Iss 1, Pp 155-185 (2015)
Publication Year :
2015
Publisher :
Samara State Technical University, 2015.

Abstract

In the paper we study the reproducing of the initial phase of the inner turbulence (without regard for the boundary effects). The atypical regularization of multiple-component Euler system is made by the viscosity and diffuse layering introduction. The analogue of Hugoniot condition and the analogue of Lax stability condition are constructed for it. The problem of local accessibility of the phase space points is investigated. The bifurcations of one-front solutions of the abridged Euler system to the two-front solutions are obtained. The supersonic behaviour of bifurcations appearance is shown. The reconstruction of the initial phase of the inner turbulence (without regard for the boundary effects) is made including the mathematical description of the birth of two-speed flow (the Riemann-Hugoniot catastrophe) and alternation.

Details

Language :
English, Russian
ISSN :
19918615 and 23107081
Volume :
19
Issue :
1
Database :
Directory of Open Access Journals
Journal :
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Publication Type :
Academic Journal
Accession number :
edsdoj.6b8e306ecef743b0b369a9919dee5b27
Document Type :
article
Full Text :
https://doi.org/10.14498/vsgtu1418