Input-Output Stability Analysis of a Flat-Plate, High-Speed Flow

D. Shekhtman, N. J. Parziale

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A high-speed, flat-plate flow is used as a benchmark problem for input-output (IO) two-dimensional stability analysis. This paper expands on low-level details necessary to analyze the stability of a general 2D-flow via IO analysis. We construct the global, analytical Jacobian from a discretized version of the linearized Navier-Stokes equations. The maximization of an energy-normed input-to-output gain subject to linear state dynamics degenerates into a singular-value-decomposition problem, which yields optimal input and output directions for disturbances and perturbed variables, respectively. The input-output analysis of a high-speed flow over a flat-plate is performed in MATLAB on the optimal output directions at two nondimensional frequencies, F = 1.6×10-4 and F = 2.2×10-4. Locations of instabilities, mode shapes, and growth rates of perturbed temperature were obtained along the length of the plate and compared to those in the literature.

Original languageEnglish
Title of host publicationAIAA Aviation and Aeronautics Forum and Exposition, AIAA AVIATION Forum 2021
DOIs
StatePublished - 2021
EventAIAA Aviation and Aeronautics Forum and Exposition, AIAA AVIATION Forum 2021 - Virtual, Online
Duration: 2 Aug 20216 Aug 2021

Publication series

NameAIAA Aviation and Aeronautics Forum and Exposition, AIAA AVIATION Forum 2021

Conference

ConferenceAIAA Aviation and Aeronautics Forum and Exposition, AIAA AVIATION Forum 2021
CityVirtual, Online
Period2/08/216/08/21

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