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Generation of acoustic solitary waves in a lattice of Helmholtz resonators

Olivier Richoux 1 Bruno Lombard 2 Jean-François Mercier 3 
3 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : This paper addresses the propagation of high amplitude acoustic pulses through a 1D lattice of Helmholtz resonators connected to a waveguide. Based on the model proposed by Sugimoto (J. Fluid. Mech., 244 (1992), 55-78), a new numerical method is developed to take into account both the nonlinear wave propagation and the different mechanisms of dissipation: the volume attenuation, the linear visco-thermic losses at the walls, and the nonlinear absorption due to the acoustic jet formation in the resonator necks. Good agreement between numerical and experimental results is obtained, highlighting the crucial role of the nonlinear losses. Different kinds of solitary waves are observed experimentally with characteristics depending on the dispersion properties of the lattice.
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Submitted on : Tuesday, September 30, 2014 - 7:09:54 AM
Last modification on : Wednesday, May 11, 2022 - 12:06:04 PM
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Olivier Richoux, Bruno Lombard, Jean-François Mercier. Generation of acoustic solitary waves in a lattice of Helmholtz resonators. Wave Motion, 2015, 56, pp.85-99. ⟨10.1016/j.wavemoti.2015.02.005⟩. ⟨hal-01069252⟩



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