Impedance boundary conditions for a time-domain finite-point method
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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.
KeywordsFinite-point method Impedance boundary conditions Time-domain simulations
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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Conflicts of interest
The author(s) declare(s) that there is no conflict of interest regarding the publication of this paper.
- 1.Kutruff H (2000) Room acoustics, 4th edn. Spon Press, LondonGoogle Scholar
- 23.Taylor RL, Idelsohn S, Zienkiewicz OC, Oñate E (1995) Moving least square approximations for solution of differential equations. CIMNE research report 74Google Scholar
- 25.Pérez L, Meneses R, Spa C, Durán O (2012) A meshless finite-point approximation for solving the RLW equation. Math Probl Eng, Article ID 802414Google Scholar
- 26.Pérez L, Campos A, Lascano S, Oller S, Rodríguez-Ferran A (2014) A finite points method approach for strain localization using the gradient plasticity formulation. Math Probl Eng, Article ID 782079Google Scholar