Study of propagation of acoustic waves in junction of thin slots

Adrien Semin (1) , Patrick Joly (1)

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

In this document, we analyze via the theory of matched asymptotics the propagation of a time domain acoustic wave in a junction of thin slots. This allows us to propose Improved Kirchhoff conditions for the 1D limit problem. These conditions are analyzed and validated numerically.

Mots clés: Matched asymptotics; Wave equation; Time domain; Thin slots; Kirchhoff conditions

Domaines: Equations aux dérivées partielles [math.AP]

Adrien Semin, Patrick Joly. Study of propagation of acoustic waves in junction of thin slots. [Research Report] RR-7265, INRIA. 2010, pp.56. ⟨inria-00476322⟩