Table of Content

Open Access

ARTICLE

Treatment of Sharp Edges & Corners in the Acoustic Boundary Element Method under Neumann Boundary Condition

Zai You Yan1
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Yu Dao Street 29, City of NanJing, Jiangsu Province, P. R. China, 210016. Email: jutsjtu@yahoo.com.cn

Computer Modeling in Engineering & Sciences 2006, 13(2), 81-90. https://doi.org/10.3970/cmes.2006.013.081

Abstract

Boundary element method in acoustics for Neumann boundary condition problems including sharp edges & corners is investigated. In previous acoustic boundary element method, acoustic pressure and normal velocity are the two variables at sharp edges & corners. However, the normal velocity at sharp edges & corners is discontinuous due to the indefinite normal vector. To avoid the indefinite normal vector and the discontinuous normal velocity at sharp edges & corners, normal vector of elemental node is defined and applied in the numerical implementation. Then the normal velocity is transformed to velocity which is unique even at sharp edges & corners. Such treatments make sure that all variables in the acoustic boundary element method are definite. Computational efficiency and accuracy of the new model are demonstrated by three cases of interior acoustic problems for which analytical solutions can be found and one classical exterior acoustic radiation problem. Curvilinear quadrilateral isoparametric elements are applied in the computation. It is found that the numerical results agree with corresponding analytical solutions quite well.

Keywords

Boundary element method, Sharp edge, Sharp corner, Normal velocity, Normal vector, Helmholtz integral equation

Cite This Article

Yan, Z. Y. (2006). Treatment of Sharp Edges & Corners in the Acoustic Boundary Element Method under Neumann Boundary Condition. CMES-Computer Modeling in Engineering & Sciences, 13(2), 81–90.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 684

    View

  • 531

    Download

  • 0

    Like

Share Link

WeChat scan