On the Comparison of Different Methods for Impedance Eduction Applied to a Numerical Database

Abstract

Eduction methods are adopted to characterize acoustic liners. In this paper, several impedance eduction techniques are compared using a numerical database obtained with scale resolved lattice-Boltzmann simulations of a reference acoustic liner in the presence or not of a grazing turbulent flow. Three impedance eduction techniques are compared: an inverse approach based on the Mode-Matching (MM) method, the straightforward method based on the Prony-like Kumaresan-Tufts (KT) algorithm, and one approach based on a minimization problem between reference measurements and the solution of the Pierce’s equation. Furthermore, the educed impedance is compared with the one obtained using local impedance measurements with the Dean’s method with virtual probes located on the entire face-sheet. Results show that impedance values obtained with the Deans’ method are highly dependent on the sampling location and that they vary largely over each cavity. Results from the eduction methods are similar amongst them with few discrepancies found for the method based on the Pierce’s equation. In particular, the highest value of resistance obtained using the Deans’ method is similar to the one obtained using the KT and MM eduction methods.