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Zh. Vychisl. Mat. Mat. Fiz., 2016, Volume 56, Number 6, Pages 1064–1081 (Mi zvmmf10406)  

This article is cited in 7 scientific papers (total in 7 papers)

Direct numerical simulation of laminar-turbulent flow over a flat plate at hypersonic flow speeds

I. V. Egorovab, A. V. Novikovbc

a Institute for Analytical Instrumentation, Russian Academy of Sciences, 2-ya Brestskaya ul. 19/18, Moscow, 123056, Russia
b Central Aerodynamic Institute, ul. Zhukovskogo 1, Zhukovsky, Moscow oblast, 140180, Russia
c Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudny, Moscow oblast, 147700, Russia

Abstract: A method for direct numerical simulation of a laminar-turbulent flow around bodies at hypersonic flow speeds is proposed. The simulation is performed by solving the full three-dimensional unsteady Navier–Stokes equations. The method of calculation is oriented to application of supercomputers and is based on implicit monotonic approximation schemes and a modified Newton–Raphson method for solving nonlinear difference equations. By this method, the development of three-dimensional perturbations in the boundary layer over a flat plate and in a near-wall flow in a compression corner is studied at the Mach numbers of the free-stream of $\mathrm{M} = 5.37$. In addition to pulsation characteristic, distributions of the mean coefficients of the viscous flow in the transient section of the streamlined surface are obtained, which enables one to determine the beginning of the laminar-turbulent transition and estimate the characteristics of the turbulent flow in the boundary layer.

Key words: direct numerical simulation, laminarЦturbulent transition, hypersonic flows, boundary layer.

Funding Agency Grant Number
Russian Science Foundation 14-19-00821
Russian Foundation for Basic Research 14-08-00793_а


DOI: https://doi.org/10.7868/S0044466916060120

Full text: PDF file (2325 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2016, 56:6, 1048–1064

Bibliographic databases:

UDC: 519.634
Received: 09.11.2015

Citation: I. V. Egorov, A. V. Novikov, “Direct numerical simulation of laminar-turbulent flow over a flat plate at hypersonic flow speeds”, Zh. Vychisl. Mat. Mat. Fiz., 56:6 (2016), 1064–1081; Comput. Math. Math. Phys., 56:6 (2016), 1048–1064

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. E. Comas, W. Legnani, “A preliminary study on the non-linear behavior of hypersonic flow”, Chaos Solitons Fractals, 105 (2017), 51–59  crossref  mathscinet  isi
    2. P. V. Chuvakhov, A. V. Fedorov, A. O. Obraz, “Numerical simulation of turbulent spots generated by unstable wave packets in a hypersonic boundary layer”, Comput. Fluids, 162 (2018), 26–38  crossref  mathscinet  zmath  isi
    3. I. V. Egorov, A. V. Novikov, N. V. Palchekovskaya, “Numerical simulation of the flow over a segment-conical body on the basis of Reynolds equations”, Comput. Math. Math. Phys., 58:1 (2018), 118–129  mathnet  crossref  crossref  isi  elib
    4. V P. Chuvakhov, V A. Fedorov, A. O. Obraz, “Numerical modelling of supersonic boundary-layer receptivity to solid particulates”, J. Fluid Mech., 859 (2018), 949–971  crossref  mathscinet  isi
    5. Din Q.H., Egorov I.V., Fedorov A.V., “Mach Wave Effect on Laminar-Turbulent Transition in Supersonic Flow Over a Flat Plate”, Fluid Dyn., 53:5 (2018), 690–701  crossref  isi
    6. G. B. Sizykh, “Closed vortex lines in fluid and gas”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 23:3 (2019), 407–416  mathnet  crossref
    7. A. N. Khorin, A. A. Konyukhova, “Techenie Kuetta goryachego vyazkogo gaza”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 24:2 (2020), 365–378  mathnet  crossref
  • ∆урнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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