Improved ɛ expansion in the theory of turbulence: summation of nearest singularities by inclusion of an infrared irrelevant operator
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A method is put forward to improve the ε expansion in the theory of developed d-dimensional turbulence on the basis of the renormalization of random forcing in the stochastic Navier-Stokes equation. This renormalization takes into account additional divergences, which appear as d →2. In the nth order of the perturbation theory with the extended renormalization the first n terms of the usual ε expansion are correctly reproduced as well as the first n terms of the Laurent expansion in the parameter d-2 of the terms of the rest of the usual ε expansion. The Kolmogorov constant and skewness factor calculated in the one-loop approximation of the improved perturbation theory are in reasonable agreement with their recommended experimental values.
KeywordsPair Correlation Function Composite Operator Renormalization Scheme Inertial Range Renormalization Constant
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- 11.W.D. McComb, The Physics of Fluid Turbulence (Clarendon Press, Oxford, 1992)Google Scholar
- 14.A.S. Monin, A.M. Yaglom, Statistical Fluid Mechanics (MIT Press, Cambridge, 1975), Vol.2Google Scholar
- 16.L.T. Adzhemyan, N.V. Antonov, M.V. Kompaniets, A.N. Vasil’ev, Acta Physica Slovaca 52, 565 (2002)Google Scholar