Numerical verification of the existence of shock waves in trombones

•3D time-domain simulations of nonlinear sound wave propagation in the trombone.•Numerical verification that shock waves can be produced in the trombone.•Measurements and numerical simulations of real musical notes. The brassy timbre associated with loudly played trombone notes is due to the accumul...

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Bibliographic Details
Published inApplied acoustics Vol. 209; p. 109407
Main Authors Resch, Janelle, Vanderkooy, John, Krivodonova, Lilia
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 30.06.2023
Subjects
Brass instruments
Discontinuous Galerkin method
Nonlinear acoustics
Numerical simulations
shock waves
3D
Discontinuous Galerkin method
Brass instruments
Nonlinear acoustics
Numerical simulations
shock waves
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Summary:•3D time-domain simulations of nonlinear sound wave propagation in the trombone.•Numerical verification that shock waves can be produced in the trombone.•Measurements and numerical simulations of real musical notes. The brassy timbre associated with loudly played trombone notes is due to the accumulated effects of nonlinear wave propagation. Hirschberg et al. experimentally showed in [J. Acoust. Soc. Am. 99, 1754–1758] that wave steepening of such tones can be strong enough to produce shock waves. In this paper, pressure measurements collected along the trombone bore are presented and then numerically simulated using a three-dimensional time-domain model. The numerical solutions reveal that shock waves do form within the computational instrument within the vicinity of the approximated shock distance.
ISSN:0003-682X
1872-910X
DOI:10.1016/j.apacoust.2023.109407