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Journal of Applied Mechanics and Technical Physics

2026 year, number 5

TURBULENCE ONSET IN SHOCK WAVE-BOUNDARY LAYER INTERACTION

D.V. Khotyanovskii, P.A. Polivanov, A.A. Sidorenko
Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Keywords: shock wave, boundary layer, interaction, direct numerical simulation, proper orthogonal decomposition

Abstract

Direct numerical simulation of the laminar-turbulent transition in a zero-pressure-gradient supersonic boundary layer and in the interaction of the boundary layer with an incident shock wave is performed. Transition scenarios caused by the development of a pair of oblique Tollmien - Schlichting waves at the frequency of the most unstable wave of linear theory, as well as by a wave packet, are investigated. Using the method of proper orthogonal decomposition, we performed a comparative analysis of the laminar-turbulent transition scenarios for a zero-pressure-gradient boundary layer and for a flow with a shock wave. Differences in the energy distribution of the flow fluctuations over the eigenmodes in the transition zone and in the wake are demonstrated.