Open Access

ARTICLE

Multi-domain boundary knot method for ultra-thin coating problems

Hui Zheng¹, Wen Chen^1,2,3, Chuanzeng Zhang⁴
1 Center for Numerical Simulation Software in Engineering and Sciences,Department of Engineering Mechanics, Hohai University, Nanjing 210098, P.R. China
2 State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian, University of Technology, Dalian 116024, P.R. China
3 Corresponding author: chenwen@hhu.edu.cn
4 Department of Civil Engineering, University of Siegen, D-57068 Siegen, Germany

Computer Modeling in Engineering & Sciences 2013, 90(3), 179-195. https://doi.org/10.3970/cmes.2013.090.179

Abstract

This paper develops a multi-domain boundary knot method (BKM) formulation to solve the heat conduction problems of ultra-thin coatings. This approach overcomes the troublesome singular integration difficulty in the boundary element method in the simulation of such ultra-thin coating problems. Our numerical results show that the present BKM is very promising with sufficient accuracy in predicting the temperature distributions and the other physical quantities in thin coated layers even when the thickness ranges from 10-1m to 10-9m. The present method can also easily be extended to the three-dimensional problems.

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Keywords

Boundary knot method, multidomain, ultra-thin coating, singularity, heat conduction

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