WIT Press


A Direct Method For Evaluating Arbitrary High-order Singular Curved Boundary Integrals

Price

Free (open access)

Paper DOI

10.2495/BEM360281

Volume

56

Pages

17

Page Range

335 - 351

Published

2014

Size

568 kb

Author(s)

Xiaowei Gao, Weizhe Feng, Jinjun Zhao & Miao Cui

Abstract

In this paper, an efficient method for numerical evaluation of all kinds of singular curved boundary integrals from 2D/3D BEM analysis is proposed based on an operation technique on a projection line/plane. Firstly, geometry variables on a curved line or surface element are expressed by parameters on the projection line/plane, and then all singularities are analytically removed by expressing the non-singular part of the integration kernel as a power series in a local distance defined on the projection line/plane. Also, a set of important relationships computing derivatives of intrinsic coordinates with respect to local orthogonal coordinates is derived. A few examples are provided to demonstrate the correctness and the stability of the proposed method. Keywords: boundary element method, super singular integral, projection plane, power series expansion, radial integration method (RIM).

Keywords

boundary element method, super singular integral, projection plane, power series expansion, radial integration method (RIM)