Abstract:
Based on estimates for the critical layer, a system of equations of stability of a compressible boundary layer is obtained. The system is parabolic and free from the known restriction on the step of the marching scheme related to ellipticity, which could not be eliminated within the framework of the previous method. A numerical scheme is described, and calculation results for the boundary layer on a heat-insulated plate are presented.
Citation:
G. V. Petrov, “New parabolized system of equations of stability of a compressible boundary layer”, Prikl. Mekh. Tekh. Fiz., 41:1 (2000), 63–69; J. Appl. Mech. Tech. Phys., 41:1 (2000), 55–61
\Bibitem{Pet00}
\by G.~V.~Petrov
\paper New parabolized system of equations of stability of a compressible boundary layer
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2000
\vol 41
\issue 1
\pages 63--69
\mathnet{http://mi.mathnet.ru/pmtf2871}
\elib{https://elibrary.ru/item.asp?id=17276697}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2000
\vol 41
\issue 1
\pages 55--61
\crossref{https://doi.org/10.1007/BF02465237}
Linking options:
https://www.mathnet.ru/eng/pmtf2871
https://www.mathnet.ru/eng/pmtf/v41/i1/p63
This publication is cited in the following 5 articles:
S. A. Gaponov, “Generation of longitudinal structures by external vortical and thermal waves”, J. Appl. Mech. Tech. Phys., 64:6 (2024), 1025–1035
S. A. Gaponov, “Linear Instability of the Supersonic Boundary Layer on a Compliant Surface”, JAMP, 02:06 (2014), 253
S. A. Gaponov, N. M. Terekhova, “Stability of supersonic boundary layer on a porous plate with a flexible coating”, Thermophys. Aeromech., 21:2 (2014), 143
Diana A. Bistrian, “A solution of the parabolized Navier–Stokes stability model in discrete space by two-directional differential quadrature and application to swirl intense flows”, Computers & Mathematics with Applications, 68:3 (2014), 197
D. A. Bistrian, “Parabolized Navier–Stokes model for study the interaction between roughness structures and concentrated vortices”, Physics of Fluids, 25:10 (2013)
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