Development of a meshless hybrid boundary node method for Stokes flows
文献类型：期刊论文
| 作者 | Li, Yinping; Tan, Fei; Zhang, Youliang |
| 刊名 | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
 |
| 出版日期 | 2013 |
| 卷号 | 37期号:6页码:899-908 |
| 关键词 | Stokes equations Modified variational principle Moving least-squares approximation Stokeslets Hybrid boundary node method Meshless |
| ISSN号 | 0955-7997 |
| DOI | 10.1016/j.enganabound.2013.03.012 |
| 英文摘要 | The meshless hybrid boundary node method (HBNM) is a promising method for solving boundary value problems, and is further developed and numerically implemented for incompressible 2D and 3D Stokes flows in this paper. In this approach, a new modified variational formulation using a hybrid functional is presented. The formulation is expressed in terms of domain and boundary variables. The moving least-squares (MLS) method is employed to approximate the boundary variables whereas the domain variables are interpolated by the fundamental solutions of Stokes equation, i.e. Stokeslets. The present method only requires scatter nodes on the surface, and is a truly boundary type meshless method as it does not require the 'boundary element mesh', either for the purpose of interpolation of the variables or the integration of 'energy'. Moreover, since the primitive variables, i.e., velocity vector and pressure, are employed in this approach, the problem of finding the velocity is separated from that of finding pressure. Numerical examples are given to illustrate the implementation and performance of the present method. It is shown that the high convergence rates and accuracy can be achieved with a small number of nodes. (C) 2013 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000320219300002 |
| 出版者 | ELSEVIER SCI LTD |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/3461]  |
| 专题 | 岩土力学所知识全产出_期刊论文 国家重点实验室知识产出_期刊论文 |
| 作者单位 | Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn |
| 推荐引用方式 GB/T 7714 | Li, Yinping,Tan, Fei,Zhang, Youliang. Development of a meshless hybrid boundary node method for Stokes flows[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2013,37(6):899-908. |
| APA | Li, Yinping,Tan, Fei,&Zhang, Youliang.(2013).Development of a meshless hybrid boundary node method for Stokes flows.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,37(6),899-908. |
| MLA | Li, Yinping,et al."Development of a meshless hybrid boundary node method for Stokes flows".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 37.6(2013):899-908. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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