A Direct Method For Evaluating Arbitrary
High-order Singular Curved Boundary Integrals
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)
Related Book
Other papers in this volume
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