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Modeling of loudspeaker using hp-adaptive methods

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Abstract

Numerical modeling of harmonic acoustic field produced by a common commercial loudspeaker is carried out. The goal is to obtain the directional characteristic of the device. So far, these characteristics could only be obtained by measurements, which was very complicated and also expensive. Another benefit of the model consists in obtaining a reference mathematical model for other acoustic devices, such as diffusors or resonators. The continuous mathematical model is derived from the physical laws and is considered for the ideal fluids with properties of a perfect continuum. The model of the loudspeaker in the axial symmetry (2D) is described by the Helmholtz differential equation for harmonic acoustic field and for the correct solution the appropriate boundary conditions and material properties are also defined. The task is solved numerically by a fully adaptive higher-order finite element method developed by the hp-FEM group. The convergence of results is discussed for the different adaptive techniques and the advantages of the use of \(hp\)-adaptivity are demonstrated. Selected results of the computations are then compared with experiments performed in an anechoic chamber at the University of West Bohemia and based on the standard CSN EN 60268-5.

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Acknowledgments

This work was supported by the Ministry of Industry and Trade of The Czech Republic under the project No. FR-TI4/569: Development of a new generation of acoustic diffusers and their modeling. Authors want to thank also for the financial support from the project SGS-2012-039 (University of West Bohemia in Pilsen).

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Authors and Affiliations

  1. Faculty of Electrical Engineering, University of West Bohemia, Pilsen, Czech Republic

    Lukáš Koudela, Pavel Karban, Oldřich Tureček & Ladislav Zuzjak

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  1. Lukáš Koudela
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  2. Pavel Karban
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  3. Oldřich Tureček
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  4. Ladislav Zuzjak
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Correspondence to Lukáš Koudela.

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Koudela, L., Karban, P., Tureček, O. et al. Modeling of loudspeaker using hp-adaptive methods. Computing 95 (Suppl 1), 473–485 (2013). https://doi.org/10.1007/s00607-013-0303-7

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  • DOI: https://doi.org/10.1007/s00607-013-0303-7

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