| 积分节点迎风偏移的节点积分无单元Galerkin方法 |
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| 引用本文： | 王晓东,欧阳洁,王玉龙,蒋涛.积分节点迎风偏移的节点积分无单元Galerkin方法[J].计算物理,2012,29(2):183-190. |
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| 作者姓名： | 王晓东 欧阳洁 王玉龙 蒋涛 |
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| 作者单位： | 西北工业大学应用数学系, 西安 710129 |
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| 基金项目： | 国家自然科学基金(10871159);教育部博士研究生学术新人奖;西北工业大学博士论文创新基金(cx201019)资助项目 |
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| 摘 要： | 建立求解稳态对流-扩散方程的-种稳定、高效的无单元Galerkin方法.该方法计算积分时采用基于局部Taylor展开的节点积分,并根据对流占优的程度对积分节点进行自适应迎风偏移.与传统的使用稳定化的无单元Galerkin方法相比,该方法是-种不依赖于背景网格积分的纯无网格方法,具有更好的稳定性和较高的计算效率,其程序实施更为简便.
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| 关 键 词： | 无单元Galerkin方法 无网格方法 节点积分 对流-扩散 迎风偏移 |
| 收稿时间： | 2011-04-02 |
| 修稿时间： | 2011-08-01 |
Nodal Integration Element-free Galerkin Method with Upwind Shifted Integration Nodes |
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| WANG Xiaodong
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OUYANG Jie
,
WANG Yulong
,
JIANG Tao.Nodal Integration Element-free Galerkin Method with Upwind Shifted Integration Nodes[J].Chinese Journal of Computational Physics,2012,29(2):183-190. |
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| Authors: | WANG Xiaodong OUYANG Jie WANG Yulong JIANG Tao |
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| Institution: | Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129, China |
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| Abstract: | A stable and efficient element-free Galerkin method is proposed for steady convection-diffusion problems.In the method integrations are computed with a local Taylor expansion nodal integral technique.According to convection-dominated degree,integration nodes are adaptively shifted opposite to the streamline direction.Compared with conventional element-free Galerkin method with stabilization,the method exhibits better stability and higher efficiency in solving convection-dominated convection-diffusion problems.It is a pure meshfree method,which is independent of background integral.Moreover,the method is easy to be implemented. |
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| Keywords: | element-free Galerkin meshfree nodal integration convection-diffusion upwind shifting |
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