Numerical investigation of acoustic solitons

Bruno Lombard; Jean François Mercier; Olivier Richoux

doi:10.3176/proc.2015.3.15

Numerical investigation of acoustic solitons

Bruno Lombard, Jean François Mercier, Olivier Richoux

Research output: Contribution to journal › Article › peer-review

Abstract

Acoustic solitons can be obtained by considering the propagation of large amplitude sound waves across a set of Helmholtz resonators. The model proposed by Sugimoto and his coauthors has been validated experimentally in previous works. Here we examine some of its theoretical properties: low-frequency regime, balance of energy, stability. We propose also numerical experiments illustrating typical features of solitary waves.

Original language	English
Pages (from-to)	304-310
Number of pages	7
Journal	Proceedings of the Estonian Academy of Sciences
Volume	64
Issue number	3
DOIs	https://doi.org/10.3176/proc.2015.3.15
Publication status	Published - 20 Aug 2015

Keywords

Fractional derivatives
Nonlinear acoustics
Solitary waves

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10.3176/proc.2015.3.15

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title = "Numerical investigation of acoustic solitons",

abstract = "Acoustic solitons can be obtained by considering the propagation of large amplitude sound waves across a set of Helmholtz resonators. The model proposed by Sugimoto and his coauthors has been validated experimentally in previous works. Here we examine some of its theoretical properties: low-frequency regime, balance of energy, stability. We propose also numerical experiments illustrating typical features of solitary waves.",

keywords = "Fractional derivatives, Nonlinear acoustics, Solitary waves",

author = "Bruno Lombard and Mercier, \{Jean Fran{\c c}ois\} and Olivier Richoux",

year = "2015",

month = aug,

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doi = "10.3176/proc.2015.3.15",

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AU - Lombard, Bruno

AU - Mercier, Jean François

AU - Richoux, Olivier

PY - 2015/8/20

Y1 - 2015/8/20

N2 - Acoustic solitons can be obtained by considering the propagation of large amplitude sound waves across a set of Helmholtz resonators. The model proposed by Sugimoto and his coauthors has been validated experimentally in previous works. Here we examine some of its theoretical properties: low-frequency regime, balance of energy, stability. We propose also numerical experiments illustrating typical features of solitary waves.

AB - Acoustic solitons can be obtained by considering the propagation of large amplitude sound waves across a set of Helmholtz resonators. The model proposed by Sugimoto and his coauthors has been validated experimentally in previous works. Here we examine some of its theoretical properties: low-frequency regime, balance of energy, stability. We propose also numerical experiments illustrating typical features of solitary waves.

KW - Fractional derivatives

KW - Nonlinear acoustics

KW - Solitary waves

U2 - 10.3176/proc.2015.3.15

DO - 10.3176/proc.2015.3.15

M3 - Article

AN - SCOPUS:84939528363

SN - 1736-6046

VL - 64

SP - 304

EP - 310

JO - Proceedings of the Estonian Academy of Sciences

JF - Proceedings of the Estonian Academy of Sciences

IS - 3

ER -

Numerical investigation of acoustic solitons

Abstract

Keywords

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