%0 Journal Article %T A low frequency model for acoustic propagation in a 2D flow duct: numerical computation %+ Propagation des Ondes : Étude Mathématique et Simulation (POEMS) %A Joubert, Lauris %A Joly, Patrick %< avec comité de lecture %@ 1815-2406 %J Communications in Computational Physics %I Global Science Press %V 11 %N 2 %P 508-524 %8 2012 %D 2012Journal articles %X In this paper we study a low frequency model for acoustic propagation in a 2D flow duct. For some Mach profile flow, we are able to give a well-posedness theorem. Its proof relies on a quasi-explicit expression of the solution which provides us an efficient numerical method. We give and comment numerical results for particular linear, tangent and quadratic profiles. Finally, we give a numerical validation of our asymptotic model. %G English %L hal-00969515 %U https://hal-ensta-paris.archives-ouvertes.fr/hal-00969515 %~ ENSTA %~ CNRS %~ INRIA %~ INRIA-SACLAY %~ INRIA_TEST %~ TESTALAIN1 %~ UMA_ENSTA %~ INRIA2