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Impedance boundary conditions for a time-domain finite-point method

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Abstract

In this paper, we present the formulation of a time-domain impedance boundary model based on a finite-point approximation. Firstly, the scalar wave equation is numerically treated studying either the stability or the dispersion error in the case of a Cartesian regular mesh with standard clouds and weighted functions. Then, we develop the formulation of a locally reacting impedance boundary model suitable for the whole acoustic impedance range, and we carried out several numerical experiments to confirm the accuracy and the performance of the full model. Lastly, some conclusions and remarks of the method are discussed.

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Acknowledgements

The work of the authors is partially funded by Projects FONDECYT 11140212 (Chile), Advanced Center for Electrical and Electronic Engineering (AC3E) Basal Project FB0008 (Chile) and the European Unions Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 644602.

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Authors and Affiliations

  1. Department of Mathematics, Universidad Técnica Federico Santa María, Avenida España, 1680, Valparaiso, Chile

    Carlos Spa

  2. Department of Mechanical Engineering, Universidad Técnica Federico Santa María, Avenida España, 1680, Valparaiso, Chile

    Ricardo Rivas & Luis Pérez

Authors
  1. Carlos Spa
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  2. Ricardo Rivas
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  3. Luis Pérez
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Correspondence to Carlos Spa.

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Technical Editor: Jader Barbosa Jr.

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Spa, C., Rivas, R. & Pérez, L. Impedance boundary conditions for a time-domain finite-point method. J Braz. Soc. Mech. Sci. Eng. 40, 324 (2018). https://doi.org/10.1007/s40430-018-1247-9

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  • DOI: https://doi.org/10.1007/s40430-018-1247-9

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