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Renormalization group in the statistical theory of turbulence: Two-loop approximation

Year: 2002

Type: preprint

Abstract: The field theoretic renormalization group is applied to the stochastic Navier--Stokes equation that describes fully developed fluid turbulence. The complete two-loop calculation of the renormalization constant, the beta function and the fixed point is performed. The ultraviolet correction exponent, the Kolmogorov constant and the inertial-range skewness factor are derived to second order of the $ε$ expansion.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.nlin/0205046

Authors: Adzhemyan, L. Ts., Antonov, N. V., Kompaniets, M. V., Vasil'ev, A. N.

Language: English

Topic: Fluid Dynamics and Turbulent Flows

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4394664335

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Cited by: 1

Related to: 10