| 自适应的移动单位分解法求解边界层问题 |
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| 引用本文： | 江山,孙美玲.自适应的移动单位分解法求解边界层问题[J].扬州大学学报(自然科学版),2010,13(1). |
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| 作者姓名： | 江山 孙美玲 |
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| 作者单位： | 1. 扬州大学数学科学学院,江苏扬州,225002
2. 南通职业大学教育技术中心,江苏南通,226007 |
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| 摘 要： | 提出一种新的无网格方法,即自适应移动单位分解法来处理边界层问题,该方法的主要思想是将移动网格技巧与单位分解法结合起来.利用等弧长分配自适应地移动节点分布,在此基础上使用单位分解格式求解一维对流扩散模型,并给出方法的理论基础与算法流程.文中数值实验结果验证了该自适应移动方法的有效性和优越性.
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| 关 键 词： | 无网格方法 单位分解法 移动网格 边界层 |
An adaptive moving partition of unity method for the boundary layers problem |
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| JIANG Shan,SUN Mei-ling.An adaptive moving partition of unity method for the boundary layers problem[J].Journal of Yangzhou University(Natural Science Edition),2010,13(1). |
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| Authors: | JIANG Shan SUN Mei-ling |
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| Institution: | JIANG Shan1*,SUN Mei-ling2(1.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China,2.Educ & Tech Cent,Nantong Vocat Coll,Nantong 226007,China) |
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| Abstract: | A new meshless method,which is the adaptive moving partition of unity method is proposed for the boundary layers problem.Its main idea is combining the moving mesh technique with the partition of unity method.The nodal points are adaptively distributed by the equal arc-length in an iterative way,then the partition of unity scheme is applied to solve one dimensional convection-diffusion model,and the theoretical foundation and algorithmic map of this method are provided.The numerical results convincingly dem... |
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| Keywords: | meshless method partition of unity method moving mesh boundary layers |
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