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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 8, Pages 1347–1373
DOI: https://doi.org/10.7868/S0044466917080063
(Mi zvmmf10604)
 

This article is cited in 25 scientific papers (total in 25 papers)

Direct numerical simulation of the laminar-turbulent transition at hypersonic flow speeds on a supercomputer

I. V. Egorovab, A. V. Novikovab, A. V. Fedorovba

a Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow oblast, Russia
b Zhukovsky Central Aerohydrodynamic Institute (TsAGI), National Research Center “Zhukovsky Institute”, Zhukovskii, Moscow oblast, Russia
References:
Abstract: A method for direct numerical simulation of three-dimensional unsteady disturbances leading to a laminar-turbulent transition at hypersonic flow speeds is proposed. The simulation relies on solving the full three-dimensional unsteady Navier–Stokes equations. The computational technique is intended for multiprocessor supercomputers and is based on a fully implicit monotone approximation scheme and the Newton–Raphson method for solving systems of nonlinear difference equations. This approach is used to study the development of three-dimensional unstable disturbances in a flat-plate and compression-corner boundary layers in early laminar-turbulent transition stages at the free-stream Mach number M = 5.37. The three-dimensional disturbance field is visualized in order to reveal and discuss features of the instability development at the linear and nonlinear stages. The distribution of the skin friction coefficient is used to detect laminar and transient flow regimes and determine the onset of the laminar-turbulent transition.
Key words: direct numerical simulation, laminar–turbulent transition, hypersonic flows, boundary layer.
Funding agency Grant number
Russian Science Foundation 14-19-00821
Russian Foundation for Basic Research 17-08-00969_à
Received: 18.05.2015
Revised: 26.09.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 8, Pages 1335–1359
DOI: https://doi.org/10.1134/S0965542517080061
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: I. V. Egorov, A. V. Novikov, A. V. Fedorov, “Direct numerical simulation of the laminar-turbulent transition at hypersonic flow speeds on a supercomputer”, Zh. Vychisl. Mat. Mat. Fiz., 57:8 (2017), 1347–1373; Comput. Math. Math. Phys., 57:8 (2017), 1335–1359
Citation in format AMSBIB
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\vol 57
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\pages 1347--1373
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  • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Æóðíàë âû÷èñëèòåëüíîé ìàòåìàòèêè è ìàòåìàòè÷åñêîé ôèçèêè Computational Mathematics and Mathematical Physics
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