| Radial point collocation method （RPCM） for solving convection-diffusion problems |
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| 作者姓名： | LIU Xin |
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| 作者单位： | Department of Mechanics，Zhejiang University，Hangzhou 310027，China |
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| 基金项目： | Project (No. 10572128) supported by the National Natural ScienceFoundation of China |
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| 摘 要： | INTRODUCTION Meshfree methods are increasingly becoming popular as they are effective for dealing with com-putational mechanics problems including both solid and fluid problems. Most of various approaches proposed in (Liu, 2002) are based on Galerkin form (weak form) which need background meshes for numerical integrations, and are actually not truly meshfree methods. Other approaches are based on collocation form (strong form), such as finite point method (FPM) (Onate et al., 1996), ra…
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| 关 键 词： | RPCM 排列 传送-扩散问题 伯格斯方程 |
| 收稿时间： | 2005-10-30 |
| 修稿时间： | 2006-04-26 |
Radial point collocation method (RPCM) for solving convection-diffusion problems |
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| LIU Xin.Radial point collocation method (RPCM) for solving convection-diffusion problems[J].Journal of Zhejiang University Science,2006,7(6):1061-1067. |
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| Authors: | Xin Liu |
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| Institution: | (1) Department of Mechanics, Zhejiang University, Hangzhou, 310027, China |
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| Abstract: | In this paper, Radial point collocation method (RPCM), a kind of meshfree method, is applied to solve convection- diffusion problem. The main feature of this approach is to use the interpolation schemes in local supported domains based on radial basis functions. As a result, this method is local and hence the system matrix is banded which is very attractive for practical engineering problems. In the numerical examination, RPCM is applied to solve non-linear convection-diffusion 2D Burgers equations. The results obtained by RPCM demonstrate the accuracy and efficiency of the proposed method for solving transient fluid dynamic problems. A fictitious point scheme is adopted to improve the solution accuracy while Neumann boundary condi-tions exist. The meshfree feature of the present method is very attractive in solving computational fluid problems. |
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| Keywords: | Radial basis functions Radial point collocation method (RPCM) Collocation Meshfree Convection-diffusion |
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