Abstract
Laminar-to-turbulent transition in compressible boundary layer flow is simulated with an efficient and high-fidelity approach. The proposed approach combines large-eddy simulation (LES) with the the parabolized stability equations (PSE) analysis. The instability modes, which play an important role in the turbulent transition, are obtained from the PSE analysis. Using the PSE modes as a part of the inflow, LES is conducted for high-fidelity computations of turbulent flow. To demonstrate the PSE+LES approach, turbulent transition via an oblique-mode breakdown on a flat plate at Mach 3 is pursued. Complete transition to turbulent flow is well resolved. The current approach provides detailed flow features comparable to direct numerical simulation (DNS) data, including the growth of instabilities and mean and turbulent fluctuations in the turbulent boundary layer. The current computational cost is two orders of the magnitude less than that of relevant DNS. The PSE+LES approach is validated for accurate transition computations for supersonic boundary layers with a fraction of the computational cost of DNS.
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