On Energy Redistribution for the Nonlinear Parabolized Stability Equations Method

We identify and quantify a seemingly overlook mechanism for energy transfer between adjacent frequency disturbances in the Nonlinear Parabolized Stability Equations method. Physically, this energy transfer results from the finite-bandwidth nature of actual disturbance spectrums versus the common num...

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Bibliographic Details
Published in:Fluids (Basel) 2022-08, Vol.7 (8), p.264
Main Authors: Khan, Arham Amin, Liang, Tony, Batista, Armani, Kuehl, Joseph
Format: Article
Language:English
Subjects:
Amplitudes
Analysis
Boundary layer
Energy
Energy transfer
Finite volume method
Flight conditions
hypersonic boundary layer
Mathematical analysis
Measurement techniques
Methods
nonlinear dynamics
Parabolized stability equations
second mode
stability and transition
Wind tunnels
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Summary:We identify and quantify a seemingly overlook mechanism for energy transfer between adjacent frequency disturbances in the Nonlinear Parabolized Stability Equations method. Physically, this energy transfer results from the finite-bandwidth nature of actual disturbance spectrums versus the common numerical assumption of a discrete spectrum representation. Both quiet wind tunnel and flight conditions are considered and it is found that, for Mack’s second-mode instability, the mechanism is most significant in the 0.1–1% disturbance amplitude range (based on normalized pressure) and is responsible for a 15–30% increase in predicted disturbance amplitude.
ISSN:2311-5521
2311-5521
DOI:10.3390/fluids7080264