The reproducing kernel particle method for two-dimensional unsteady heat conduction problems

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• 作者：Rongjun Cheng and K. M. Liew
• 关键词：Reproducing kernel particle method ; Meshless method ; Unsteady heat conduction problem ; Error estimate
• 刊名：Computational Mechanics
• 出版年：2009
• 出版时间：December, 2009
• 年：2009
• 卷：45
• 期：1
• 页码：1-10
• 全文大小：323.5 KB

文摘

The numerical solution to two-dimensional unsteady heat conduction problem is obtained using the reproducing kernel particle method (RKPM). A variational method is employed to furnish the discrete equations, and the essential boundary conditions are enforced by the penalty method. Convergence analysis and error estimation are discussed. Compared with the numerical methods based on mesh, the RKPM needs only the scattered nodes instead of meshing the domain of the problem. The effectiveness of the RKPM for two-dimensional unsteady heat conduction problems is examined by two numerical examples.