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

Patrick Joly and Adrien Semin

december, 2008

Publication type:

Paper in peer-reviewed journals

Journal:

ESAIM: proceedings, vol. 25, pp. 44-67

External link:

http://www.esaim-proc.org/articles/proc/abs/2008/04/proc082504/proc082504.html

http://dx.doi.org/10.1051/proc:082504

HAL:

hal-00976404

Keywords :

Asymptotic expansion, Kirchoff laws, thin slots

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.

Abstract (translation) :

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 validŽees numériquement.

BibTeX:

@article{Jol-Sem-2008,
    author={Patrick Joly and Adrien Semin },
    title={Construction and analysis of improved Kirchoff conditions for 
           acoustic wave propagation in a junction of thin slots },
    journal={ESAIM: proceedings },
    year={2008 },
    month={12},
    volume={25 },
    pages={44--67},
}