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.KeywordsDirect Numerical SimulationReynolds StressHarmonic AmplitudeInflow BoundaryParabolized Stability EquationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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