The relation between different time scales of the finite-time Lyapunov exponent (FTLE) and the acoustic wave is studied. Gonzalez et al.’s proposition (“Finite-Time Lyapunov Exponent-Based Analysis for Compressible Flows,” Chaos, Vol. 26, No. 8, 2016, Paper 083112), stating that the joint FTLE is equal to dilatation that measures the aeroacoustic waves, is extended. A rigorous mathematical proof is provided for the two-dimensional problem. An analytical sound field induced by a dipole source and a numerical simulated flowfield of an open cavity are used to verify the relation between the FTLE and dilatation. Based on a heuristic analysis and a numerical visualization, it was also found that the long time FTLE has similar patterns to the schlieren and can reveal both the near-field flow structures and the far-field acoustic waves. The work shows that the FTLE can be useful in studying acoustics.


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    Title :

    Relation Between the Finite-Time Lyapunov Exponent and Acoustic Wave


    Contributors:
    Han, Shuaibin (author) / Luo, Yong (author) / Zhang, Shuhai (author)

    Published in:

    AIAA Journal ; 57 , 12 ; 5114-5125


    Publication date :

    2019-08-19


    Size :

    12 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




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