TY - GEN

T1 - Acoustic boundary element method formulation with treatment of nearly singular integrands by element subdivision

AU - Cutanda Henríquez, Vicente

AU - Juhl, Peter Møller

N1 - Conference code: 19

PY - 2008

Y1 - 2008

N2 - It is well known that the Boundary Element Method (BEM) in its standard version cannot readilyhandle situations where the calculation point is very close to a surface. These problems arefound: i) when two boundary surfaces are very close together, such as in narrow gaps and thinbodies, and ii) when field points are calculated very close to the boundary. The difficulty is dueto the near-singularity of the integrand, which causes failure of the numerical integration overthe element. There are a number of techniques to overcome this problem, in many casesinvolving a reformulation of the integrand or the whole method. On the other hand, it is alsopossible to refine or improve the numerical integration, and maintain the standard BEMformulation. In this paper a numerical technique based on element subdivision, previouslyproposed by the authors, is made more general to cover most cases of interest. The subdivisionis adapted to the strength of the near-singularity and is only performed when needed, notadding excessive calculation time and storage. The implementation is examined and verifiedwith test cases.

AB - It is well known that the Boundary Element Method (BEM) in its standard version cannot readilyhandle situations where the calculation point is very close to a surface. These problems arefound: i) when two boundary surfaces are very close together, such as in narrow gaps and thinbodies, and ii) when field points are calculated very close to the boundary. The difficulty is dueto the near-singularity of the integrand, which causes failure of the numerical integration overthe element. There are a number of techniques to overcome this problem, in many casesinvolving a reformulation of the integrand or the whole method. On the other hand, it is alsopossible to refine or improve the numerical integration, and maintain the standard BEMformulation. In this paper a numerical technique based on element subdivision, previouslyproposed by the authors, is made more general to cover most cases of interest. The subdivisionis adapted to the strength of the near-singularity and is only performed when needed, notadding excessive calculation time and storage. The implementation is examined and verifiedwith test cases.

KW - BEM

KW - Acoustics

KW - Near singular

M3 - Article in proceedings

BT - Proceedings of the 19th International Congress on Acoustics

A2 - Calvo-Manzano, Antonio

A2 - Pérez-López, Antonio

A2 - Santiago, Salvador

PB - Sociedad Española de Acústica

Y2 - 2 September 2007 through 7 September 2007

ER -