Geodesic
Numerical simulation of turbulent spots evolution in supersonic boundary layer over a plate
Matematičeskoe modelirovanie, Tome 34 (2022) no. 7, pp. 63-72

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Direct numerical simulations of the turbulent spots evolution in the boundary layer on a flat plate at zero angle of attack at the freestream Mach number $\mathrm{M}_\infty=6$ has been carried out. Considered was the propagation of artificially excited localized three-dimensional vortical disturbances with different initial amplitudes, which, when propagating downstream, develop into turbulent spots. A direct numerical simulation was 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-monotone numerical scheme makes it possible to correctly estimate the main characteristics of turbulent spots — the transverse spreading angle and leading and trailing fronts velocities. The agreement between the obtained spots parameters and the results of other authors is demonstrated.
Keywords: boundary layer, compressible flows, direct numerical simulation
Mots-clés : laminar-turbulent transition, turbulent spots. 
@article{MM_2022_34_7_a4,
     author = {I. V. Egorov and A. V. Novikov and P. V. Chuvakhov},
     title = {Numerical simulation of turbulent spots evolution in supersonic boundary layer over a plate},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {63--72},
     publisher = {mathdoc},
     volume = {34},
     number = {7},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2022_34_7_a4/}
}
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I. V. Egorov; A. V. Novikov; P. V. Chuvakhov. Numerical simulation of turbulent spots evolution in supersonic boundary layer over a plate. Matematičeskoe modelirovanie, Tome 34 (2022) no. 7, pp. 63-72. http://geodesic.mathdoc.fr/item/MM_2022_34_7_a4/