TY - GEN
T1 - Input-Output Stability Analysis of a Flat-Plate, High-Speed Flow
AU - Shekhtman, D.
AU - Parziale, N. J.
N1 - Publisher Copyright:
© 2021, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
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U2 - 10.2514/6.2021-2934
DO - 10.2514/6.2021-2934
M3 - Conference contribution
AN - SCOPUS:85126755972
SN - 9781624106101
T3 - AIAA Aviation and Aeronautics Forum and Exposition, AIAA AVIATION Forum 2021
BT - AIAA Aviation and Aeronautics Forum and Exposition, AIAA AVIATION Forum 2021
T2 - AIAA Aviation and Aeronautics Forum and Exposition, AIAA AVIATION Forum 2021
Y2 - 2 August 2021 through 6 August 2021
ER -