The Influence of Numerical Integration Accuracy and Sound Frequency on Computed Results of Acoustic Diffraction Problems with the Boundary Element Method

DOI

10.2991/emcs-16.2016.339How to use a DOI?

Keywords

Sound barrier; Diffraction; Boundary Element Method;The numerical integration accuracy.

Abstract

The boundary element method (BEM) using collocation with constant elements has been adopted to calculate the insertion loss of a sound barrier in a two-dimensional model. Analysis has been done on how the results obtained with BEM are affected by the numerical integration accuracy. First, the precision of all elements in matrix which were obtained through integration of equations with numerical integration approaches is directly influenced by the integration accuracy, which further affects the final results. Second, Two numerical integration methods, midpoint rectangle rule and composite four-point Gaussian quadrature rule, have been compared in this work. The number of integration points has relatively little effect on the results, and the composite four-point Gaussian rule has a higher convergence rate than the midpoint rectangle rule. Moreover,a comparison of wedge insertion loss calculated with GTD and BEM for different frequencies and different BEM element lengths has shown that: for wedge diffraction problems, it is necessary to ensure the element length is below 1/20 wavelength and consider the impacts of characteristic frequencies.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Feng Li
AU  - Dongyu Wang
AU  - Ming Cai
PY  - 2016/01
DA  - 2016/01
TI  - The Influence of Numerical Integration Accuracy and Sound Frequency on Computed Results of Acoustic Diffraction Problems with the Boundary Element Method
BT  - Proceedings of the 2016 International Conference on Education, Management, Computer and Society
PB  - Atlantis Press
SP  - 1367
EP  - 1370
SN  - 2352-538X
UR  - https://doi.org/10.2991/emcs-16.2016.339
DO  - 10.2991/emcs-16.2016.339
ID  - Li2016/01
ER  -