Investigation of Various Approaches to the Modeling of Laminar-Turbulent Transition in Compressible Separated Flows
P. A. Polivanov, D. V. Khotyanovskii, A. I. Kutepova, A. A. Sidorenko
Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Keywords: пограничный слой, ударная волна, ламинарно-турбулентный переход, отрыв потока, прямое численное моделирование, уравнения Рейнольдса, линейная теория устойчивости, boundary layer, shock wave, laminar-turbulent transition, flow separation, direct numerical simulation, Reynolds equations, linear stability theory
Abstract
The interaction of a laminar boundary layer with a shock wave at a Mach number M = 1.43 is studied by numerical simulation. The results obtained by direct numerical simulation are compared with the results of calculations using the Reynolds-averaged Navier-Stokes (RANS) equations supplemented with different turbulence models describing laminar-turbulent transition. The possibility of determining the position of the flow turbulence zone based on linear stability theory and the eN-method is estimated. Comparison of the numerical simulation with experimental data shows that the engineering RANS methods can be used to study supersonic flows in which transition to turbulence occurs in regions of interaction of the shock wave with the boundary layer.
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