Solving the linearized Euler equations in the harmonic frequency domain amounts to solving a large linear system. Doing so repetitively can be costly, especially when some parameters need to be varied (for example, the acoustic impedance of a liner), such as in optimization and impedance eduction problems. To accelerate the calculations, the equations can first be projected onto a basis of reduced dimension, only requiring a limited number of full solutions called snapshots, which are calculated at different impedance values. This paper is concerned with finding an optimal set of impedances allowing the greedy creation of a reduced basis that leads to the most accurate surrogate modeling in the least number of calls to the direct solver. The optimal set of impedance values is first obtained on a two-dimensional duct configuration, and numerical verification tests are performed on a three-dimensional engine nacelle.


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    Title :

    Optimal Reduced Basis Method for Aeroacoustics with Impedance Boundary Conditions


    Contributors:

    Published in:

    AIAA Journal ; 61 , 2 ; 640-652


    Publication date :

    2023-02-01




    Type of media :

    Conference paper , Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



    Time-domain impedance boundary conditions for computational aeroacoustics

    Tam, Christopher K. W. / Auriault, Laurent | AIAA | 1996



    Impedance Boundary Conditions for Time-Domain Computational Aeroacoustics Methods

    Oezyoeruek, Y. / Long, L. N. / AIAA | British Library Conference Proceedings | 1997



    Time-domain impedance boundary condition for computational aeroacoustics

    Tam, Christopher / Auriault, Laurent | AIAA | 1996