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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 2, Pages 304–311
(Mi zvmmf9659)
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This article is cited in 4 scientific papers (total in 4 papers)
Study of spectral characteristics of a homogeneous turbulent flow
O. M. Belotserkovskii, S. V. Fortova Institute for Computer-Aided Design, Russian Academy of Sciences, ul. Vtoraya Brestskaya 19/18, Moscow, 123056 Russia
Abstract:
A spectral representation of kinetic energy for a vortex cascade of instability in a compressible inviscid shear flow is considered, and the Rayleigh–Taylor instability is studied. A comparative analysis is given to the spectral decompositions of kinetic energy for both problems. The classical Kolmogorov $-5/3$ power law is proved to hold for developed turbulent flows.
Key words:
three-dimensional flows, compressible inviscid fluid, onset of turbulence, numerical simulation, instability cascade, energy spectrum.
Received: 16.03.2011
Citation:
O. M. Belotserkovskii, S. V. Fortova, “Study of spectral characteristics of a homogeneous turbulent flow”, Zh. Vychisl. Mat. Mat. Fiz., 52:2 (2012), 304–311; Comput. Math. Math. Phys., 52:2 (2012), 285–291
Linking options:
https://www.mathnet.ru/eng/zvmmf9659 https://www.mathnet.ru/eng/zvmmf/v52/i2/p304
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