Abstract
This presentation is to survey the recent developments and advances of inverse problems arising from various aeroacoustic applications, with the emphasis on the inverse problem of the Ffowcs Williams and Hawkings (FW–H) equation. Generally an inversion physical model should be first established to relate the sound source with its radiated acoustic field. The main difficultly is that most inverse problems are mathematically ill posed. The singular value decomposition (SVD) technique combined with the Tikhonov regularization method has shown to be a very powerful tool. Also, the generalized cross-validation (GCV) and L-curve criterions are rather suitable for choosing an optimal regularization parameter. Several studies have shown that the aeroacoustic source strength distributions can be reconstructed using the radiated acoustic field data, such as a propeller [X. D. Li and S. Zhou, AIAA J. 34, 1097–1102 (1996)] or a streamlined body [S. P. Grace, H. M. Atassi, and W. K. Blake, AIAA J. 34, 2233–2240 (1996)]. The inversion techniques can also be applicable for the spatial transformation of sound field and active noise control. Finally, the possibility of the coupling of the inverse problem with computational aeroacoustics is to be discussed. [Work supported by NSF and ASF of China.]
Published Version
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