Browse > Article

Heat Transfer Analysis of Bi-Material Problem with Interfacial Boundary Using Moving Least Squares Finite Difference Method  

Yoon, Young-Cheol (명지전문대학 토목과)
Kim, Do-Wan (한양대학교 응용수학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.20, no.6, 2007 , pp. 779-787 More about this Journal
Abstract
This paper presents a highly efficient moving least squares finite difference method (MLS FDM) for a heat transfer problem of bi-material with interfacial boundary. The MLS FDM directly discretizes governing differential equations based on a node set without a grid structure. In the method, difference equations are constructed by the Taylor polynomial expanded by moving least squares method. The wedge function is designed on the concept of hyperplane function and is embedded in the derivative approximation formula on the moving least squares sense. Thus interfacial singular behavior like normal derivative jump is naturally modeled and the merit of MLS FDM in fast derivative computation is assured. Numerical experiments for heat transfer problem of bi-material with different heat conductivities show that the developed method achieves high efficiency as well as good accuracy in interface problems.
Keywords
Interfacial boundary; bi-material; heat transfer problem; moving least squares finite difference method; hyperplane function; wedge function;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 윤영철, 김동조, 이상호 (2007a) 탄성균열해석을 위한 그리드 없는 유한차분법. 한국전산구조공학회 논문집, 20(3), pp.321-327   과학기술학회마을
2 LeVeque, R. J., Li, Z. (1994) The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Numer. Anal., 31, pp.1019-1044   DOI   ScienceOn
3 윤영철, 김효진, 김동조, 윙 캠 리우, 테드 벨리체코, 이상호 (2007b) 이동최소제곱 유한차분법을 이용한 응력집중문제 해석 (I) : 고체문제의 정식화, 한국전산구조공학회 논문집, 20(4), pp.493-499   과학기술학회마을
4 Kim, D. W., Yoon, Y.-C., Liu, W. K., Belytschko, T. (2007a) Extrinsic Meshfree Approximation Using Asymptotic Expansion for Interfacial Discontinuity of Derivative, Journal of Computational Physics, 221, pp.370-394   DOI   ScienceOn
5 Kim, D. W., Yoon, Y.-C., Liu, W. K., Belytschko, T., Lee, S.-H. (2007b) Meshfree Collocation Method with Intrinsic Enrichment for Interface Problems, Computational Mechanics, 40(6), pp.1037-1052   DOI
6 윤영철, 김효진, 김동조, 윙 켐 리우, 테드 벨리체코, 이상호 (2007c) 이동최소제곱 유한차분법을 이용한 응력집중문제 해석 (II) : 균열과 국소화 밴드 문제로의 적용. 한국전산구조공학회 논문집, 20(4), pp.501-507   과학기술학회마을
7 Belvtschko , T., Lu, Y. Y., Gu, L. (1994) Elementfree galerkin methods. International Journal for Numerical Methods in Engineering, 37, pp.229-256   DOI   ScienceOn
8 Tu, C., Peskin, C. S. (1992) Stability and instability in the computation of flows with moving immersed boundaries: a comparison of three methods. SIAM J. SCi. Statist. Comput., 13, pp.1361 -1376   DOI