AMBIGUITY IN MEAN-FLOW-BASED LINEAR ANALYSIS

Date

2020-08-28

Author

Karban, Uğur
Martini, Eduardo
Bugeat, Benjamin
Towne, Aaron
Cavalieri, Andre V.G.
Lesshafft, Lutz
Agarwal, Anurag
Jordan, Peter
Colonius, Tim

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The effect of a variable transformation on the linear operator that is obtained by linearizing a turbulent flow about its mean is investigated. It is shown that the characteristics of the linear operator are dependent on the state variables used and can be modified when the state vector is subjected to non-linear transformation and linearisation is not performed around a fixed point. This observation raises a uniqueness issue for mean-flow resolvent analyses. The effect of the variable transformation on the stability characteristics is demonstrated via some test cases, including a subsonic jet. The implications for the validity of mean-flow resolvent analyses andpossibilities for optimizing resolvent-based approaches are discussed.

URI

https://hdl.handle.net/11511/117445

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Department of Aerospace Engineering, Conference / Seminar