Time domain BEM for sound radiation of tires

Lothar Banz; Heiko Gimperlein; Zouhair Nezhi; Ernst P. Stephan

doi:10.1007/s00466-016-1281-3

Time domain BEM for sound radiation of tires

Lothar Banz, Heiko Gimperlein, Zouhair Nezhi, Ernst P. Stephan

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Abstract

This work investigates a time domain boundary element method for the acoustic wave equation in an exterior domain in the half-space R3+R+3. The Neumann problem is formulated as a boundary integral equation of the second kind, and the convergence and stability of conforming Galerkin approximations is studied in the complex geometry of a car or truck tire above a street. After a validation experiment, numerical results are presented in time or frequency domain for realistic benchmarks in traffic noise: the sound emission of vibrating tires, noise amplification in the horn-like geometry between the tire and the road, as well as the Doppler effect of a moving tire. The results are compared with calculations in frequency domain.

Original language	English
Pages (from-to)	45-57
Number of pages	13
Journal	Computational Mechanics
Volume	58
Issue number	1
Early online date	19 Mar 2016
DOIs	https://doi.org/10.1007/s00466-016-1281-3
Publication status	Published - Jul 2016

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abstract = "This work investigates a time domain boundary element method for the acoustic wave equation in an exterior domain in the half-space R3+R+3. The Neumann problem is formulated as a boundary integral equation of the second kind, and the convergence and stability of conforming Galerkin approximations is studied in the complex geometry of a car or truck tire above a street. After a validation experiment, numerical results are presented in time or frequency domain for realistic benchmarks in traffic noise: the sound emission of vibrating tires, noise amplification in the horn-like geometry between the tire and the road, as well as the Doppler effect of a moving tire. The results are compared with calculations in frequency domain.",

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AU - Banz, Lothar

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AU - Nezhi, Zouhair

AU - Stephan, Ernst P.

PY - 2016/7

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N2 - This work investigates a time domain boundary element method for the acoustic wave equation in an exterior domain in the half-space R3+R+3. The Neumann problem is formulated as a boundary integral equation of the second kind, and the convergence and stability of conforming Galerkin approximations is studied in the complex geometry of a car or truck tire above a street. After a validation experiment, numerical results are presented in time or frequency domain for realistic benchmarks in traffic noise: the sound emission of vibrating tires, noise amplification in the horn-like geometry between the tire and the road, as well as the Doppler effect of a moving tire. The results are compared with calculations in frequency domain.

AB - This work investigates a time domain boundary element method for the acoustic wave equation in an exterior domain in the half-space R3+R+3. The Neumann problem is formulated as a boundary integral equation of the second kind, and the convergence and stability of conforming Galerkin approximations is studied in the complex geometry of a car or truck tire above a street. After a validation experiment, numerical results are presented in time or frequency domain for realistic benchmarks in traffic noise: the sound emission of vibrating tires, noise amplification in the horn-like geometry between the tire and the road, as well as the Doppler effect of a moving tire. The results are compared with calculations in frequency domain.

UR - http://www.macs.hw.ac.uk/~hg94/TDBEM_numerics3.pdf

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JO - Computational Mechanics

JF - Computational Mechanics

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Time domain BEM for sound radiation of tires

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