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Issue ESAIM: Proc.
Volume 25, 2008
Paris-sud working group on modelling and scientific computing 2007-2008
Page(s) 44 - 67
DOI http://dx.doi.org/10.1051/proc:082504
Published online 16 January 2009

ESAIM: Proc., 2008, Vol. 25, pp. 44-67
DOI: 10.1051/proc:082504

Construction and analysis of improved Kirchoff conditions for acoustic wave propagation in a junction of thin slots

Patrick Joly1 and Adrien Semin1, 2

1  UMR POEMS, CNRS-ENSTA-INRIA, E-mail: patrick.joly@inria.fr
2  Equipe AN-EDP, Université Paris XI, E-mail: adrien.semin@inria.fr


Published online: 16 January 2009

Abstract
In this paper, we analyze via the theory of matched asymptotics the propagation of a time harmonic acoustic wave in a junction of two thin slots. This allows us to propose improved Kirchoff conditions for the 1D limit problem. These conditions are analyzed and validated numerically.


Résumé
Dans cet article, nous utilisons la théorie des développements asymptotiques raccordés pour analyser la propagation d'ondes acoustiques à travers une jonction de deux fentes minces. Ceci nous permet de proposer des conditions de Kirchoff améliorées pour le problème limite 1D. Ces conditions sont analysées et validées numériquement.



© EDP Sciences, ESAIM 2008


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