Stochastic Navier–Stokes Equation with Colored Noise: Renormalization Group Analysis

In this work we study the fully developed turbulence described by the stochastic Navier–Stokes equation with finite correlation time of random force. Inertial-range asymptotic behavior is studied in one-loop approximation and by means of the field theoretic renormalization group. The inertial-range...

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Bibliographic Details
Published inEPJ Web of Conferences Vol. 126; p. 4019
Main Authors Antonov, N. V., Gulitskiy, N. M., Malyshev, A. V.
Format Journal Article Conference Proceeding
LanguageEnglish
Published Les Ulis EDP Sciences 01.01.2016
Subjects
Computational fluid dynamics
Energy spectra
Fluid flow
Navier-Stokes equations
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Summary:In this work we study the fully developed turbulence described by the stochastic Navier–Stokes equation with finite correlation time of random force. Inertial-range asymptotic behavior is studied in one-loop approximation and by means of the field theoretic renormalization group. The inertial-range behavior of the model is described by limiting case of vanishing correlation time that corresponds to the nontrivial fixed point of the RG equation. Another fixed point is a saddle type point, i.e., it is infrared attractive only in one of two possible directions. The existence and stability of fixed points depends on the relation between the exponents in the energy spectrum ε ∝ k1−y and the dispersion law ω ∝ k2−η.
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/201612604019