Analysis, simulation and impedance operator of a nonlocal model of porous medium for acoustic control
Abstract
The problem under consideration relates to a model of a porous wall devoted to aircraft motor noise reduction. For such a medium, the parameters of the propagation equation depend on the frequency. Then, the associated time-model involves non rational convolution operators, which make the model complex from both analysis and simulation points of view. In this paper, based on the so-called di usive representation of con- volution operators, a time-local formulation of the porous wall model, well adapted to analysis and numerical simulation, is established and analyzed. Then its associated impedance operator is computed. Fi- nally, some numerical results relating to the time-domain simulation of the porous wall and its impedance operator are given.
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Montseny_et_al._-_2013_-_Analysis_simulation_and_impedance_operator_of_a_non_local_model_of_porous_medium_for_acoustic_control.pdf (698.72 Ko)
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