An Improved Element Free Galerkin Method and Precise Time-Step Integration Method for Solving Transient Heat Conduction Problems

Abstract:

An improved element free Galerkin method coupled the precise time-step integration method in the time domain is proposed for solving transient heat conduction problem with spatially varying conductivity in the paper. Firstly the nodal influence domain of element free Galerkin methods is extended to arbitrary convex polygon rather than rectangle and circle. When the dimensionless size of the nodal influence domain is 1.01, the shape function almost possesses interpolation property, thus essential boundary conditions can be implemented without any difficulties for the meshless method. Secondly, the precise time-step integration method is selected for the time discretization in order to improve the computational efficiency. Lastly, one numerical example is given to illustrate the highly accurate and efficient algorithm.

• Periodical: Applied Mechanics and Materials (Volumes 444-445)
• Pages: 1517-1521
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.444-445.1517
• Online since: October 2013
• Authors: Xiao Hua Zhang, Hui Xiang
• Keywords: Element Free Galerkin Method, Interpolation Property, Precise Integration Method, Transient Heat Conduction

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