Abstract
The evolution of disturbances in a Mach 6.8 boundary-layer flow on a sharp cone is simulated by the nonlinear parabolized stability equation (PSE) method and by spatial direct numerical simulation (DNS). The PSE calculation is forced at the inflow boundary by a symmetric pair of finite-amplitude oblique second-mode disturbances whose interactions generate a multiplicity of energetic harmonics as the waves evolve downstream. The PSE results are then compared with results obtained by spatial DNS in a region of the flow that is characterized by moderately strong nonlinear interactions. In terms of harmonic amplitudes, harmonic structures, and Reynolds stresses, the agreement between the two methods is remarkably good. We believe these results “push the envelope” in validating PSE as a computational tool for the simulation of convectively evolving instabilities.
Research supported by the Theoretical Flow Physics Branch of NASA Langley Research Center under contracts NAS1-19320 and NAS1-19299 for the first and second authors, respectively.
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© 1994 Springer Science+Business Media Dordrecht
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Pruett, C.D., Chang, CL. (1994). Transitional High-Speed Flow on a Cone: PSE Versus DNS. In: Hussaini, M.Y., Gatski, T.B., Jackson, T.L. (eds) Transition, Turbulence and Combustion. ICASE/LaRC Interdisciplinary Series in Science and Engineering, vol 2&3. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1032-7_37
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DOI: https://doi.org/10.1007/978-94-011-1032-7_37
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