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

Impedance boundary conditions for a time-domain finite-point method 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of the Brazilian Society of Mechanical Sciences and Engineering Springer Journals

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

, Volume 40 (6) – Jun 2, 2018
10 pages

/lp/springer_journal/impedance-boundary-conditions-for-a-time-domain-finite-point-method-0w4nDLXTiL
Publisher
Springer Journals
Copyright © 2018 by The Brazilian Society of Mechanical Sciences and Engineering
Subject
Engineering; Mechanical Engineering
ISSN
1678-5878
eISSN
1806-3691
D.O.I.
10.1007/s40430-018-1247-9
Publisher site
See Article on Publisher Site

### 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.

### Journal

Journal of the Brazilian Society of Mechanical Sciences and EngineeringSpringer Journals

Published: Jun 2, 2018

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