The Influence of Numerical Integration Accuracy and Sound Frequency on Computed Results of Acoustic Diffraction Problems with the Boundary Element Method
Feng Li, Dongyu Wang, Ming Cai
Available Online January 2016.
- https://doi.org/10.2991/emcs-16.2016.339How to use a DOI?
- Sound barrier; Diffraction; Boundary Element Method;The numerical integration accuracy.
- 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.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
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 - 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 - https://doi.org/10.2991/emcs-16.2016.339 ID - Li2016/01 ER -