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Numerical Simulation of the Evolution of Turbulent Spots in a Supersonic Boundary Layer over a Plate

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Abstract

Direct numerical simulations of the evolution of turbulent spots in the boundary layer on a flat plate at a zero angle of attack at the freestream Mach number M∞ = 6 are carried out. The propagation of artificially excited localized three-dimensional vortical disturbances with different initial amplitudes, which, when propagating downstream, develop into turbulent spots, is considered. A direct numerical simulation is performed by solving the Navier–Stokes equations for three-dimensional compressible gas flows using the in-house solver that implements an implicit shock capturing numerical scheme. It is shown that the universal quasi-monotonic numerical scheme makes it possible to correctly estimate the main characteristics of turbulent spots: the transverse spreading angle and the velocities of the leading and trailing fronts. The agreement between the parameters of the obtained spots and the results of other authors is demonstrated.

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Funding

This study was financially supported by the Russian Science Foundation (grant no. 21-19-00307). It was also supported through the use of the equipment of the Center for Collective Use “Complex for Simulation and Data Processing of MegaClass Research Installations” of the National Research Center “Kurchatov Institute,” http://ckp.nrcki.ru/.

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Authors and Affiliations

  1. Zhukovsky Central Aerohydrodynamic Institute, Zhukovsky, Moscow oblast, Russia

    I. V. Egorov, A. V. Novikov & P. V. Chuvakhov

  2. Moscow Institute of Physics and Technology, Dolgoprudny, Moscow oblast, Russia

    I. V. Egorov, A. V. Novikov & P. V. Chuvakhov

Authors
  1. I. V. Egorov
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  2. A. V. Novikov
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  3. P. V. Chuvakhov
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Corresponding author

Correspondence to A. V. Novikov.

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The authors declare that they have no conflicts of interest.

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Egorov, I.V., Novikov, A.V. & Chuvakhov, P.V. Numerical Simulation of the Evolution of Turbulent Spots in a Supersonic Boundary Layer over a Plate. Math Models Comput Simul 15, 118–124 (2023). https://doi.org/10.1134/S2070048223010076

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  • DOI: https://doi.org/10.1134/S2070048223010076

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