Formulation différentielle dissipative d'un modèle de paroi absorbante en aéroacoustique

Abstract

The problem under consideration relates to a particular model of porous wall devoted to aircraft motor noise reduction. Because parameters of the propagation equation are frequency dependent, the time-model of such a medium involves convolution operators. We introduce a new formulation of these operators based on their symbols, both time-local and dissipative. The coupling of this so-obtained model with a standard aeroacoustic one then leads to a time-local system whose analysis is simplified thanks to the existence of an energy functional in the sense of which the global dissipativity is insured. To cite this article: C. Casenave et al., C. R. Mecanique 336 (2008).