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This article is cited in 49 scientific papers (total in 49 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, laminar–turbulent transition, hypersonic flows, boundary layer.
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
Linking options:
https://www.mathnet.ru/eng/zvmmf10406 https://www.mathnet.ru/eng/zvmmf/v56/i6/p1064
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