Renormalization group analysis of a turbulent compressible fluid near d = 4: Crossover between local and non-local scaling regimes

We study scaling properties of the model of fully developed turbulence for a compressible fluid, based on the stochastic Navier-Stokes equation, by means of the field theoretic renormalization group (RG). The scaling properties in this approach are related to fixed points of the RG equation. Here we...

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Bibliographic Details
Published in:	EPJ Web of Conferences Vol. 125; p. 5006
Main Authors:	Antonov, A.V., Gulitskiy, N.M., Kostenko, M.M., Lučivjanský, T.
Format:	Journal Article Conference Proceeding
Language:	English
Published:	Les Ulis EDP Sciences 01-01-2016
Subjects:	Compressible fluids Computational fluid dynamics Fluid flow Navier-Stokes equations Scaling Turbulence
Online Access:	Get full text
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Summary:	We study scaling properties of the model of fully developed turbulence for a compressible fluid, based on the stochastic Navier-Stokes equation, by means of the field theoretic renormalization group (RG). The scaling properties in this approach are related to fixed points of the RG equation. Here we study a possible existence of other scaling regimes and an opportunity of a crossover between them. This may take place in some other space dimensions, particularly at d = 4. A new regime may there arise and then by continuity moves into d = 3. Our calculations have shown that there really exists an additional fixed point, that may govern scaling behaviour.
ISSN:	2100-014X 2101-6275 2100-014X
DOI:	10.1051/epjconf/201612505006