| 题名 | Optimal shape for a nozzle design problem using an arbitrary Lagrangian-Eulerian finite element method |
| 作者 | |
| 通讯作者 | Li, Jingzhi |
| 发表日期 | 2014-02
|
| DOI | |
| 发表期刊 | |
| ISSN | 0928-0219
|
| EISSN | 1569-3945
|
| 卷号 | 22期号:1页码:9-30 |
| 摘要 | This paper is concerned with the investigation of mathematical and numerical methods to find the optimal shape of a nozzle by means of shape optimization. The non-viscous, incompressible potential field within the nozzle is assumed to satisfy the Laplace PDE with mixed boundary conditions. We try to track the geometry of the nozzle to match the resulting velocity field with a prescribed one in some given critical subdomain. The problem is reformulated as an output least-squares minimization problem with the nozzle boundary being the control variable. The shape gradient of the cost functional is derived by combining the adjoint method and the techniques in the Lie derivative framework proposed by Hiptmair and Li (2012). An arbitrary Lagrangian-Eulerian finite element method is proposed to numerically solve the problem in an efficient way. Numerical experiments are presented to demonstrate the applicability and effectiveness of the proposed method. |
| 关键词 | |
| 相关链接 | [来源记录] |
| 收录类别 | |
| 语种 | 英语
|
| 学校署名 | 第一
; 通讯
|
| 资助项目 | NSF[DMS 1207784]
|
| WOS研究方向 | Mathematics
|
| WOS类目 | Mathematics, Applied
; Mathematics
|
| WOS记录号 | WOS:000330885700002
|
| 出版者 | |
| EI入藏号 | 20141217486399
|
| EI主题词 | Calculations
; Lagrange multipliers
; Nozzle design
; Numerical methods
; Shape optimization
; Velocity
|
| EI分类号 | Structural Design:408
; Mathematics:921
|
| 来源库 | Web of Science
|
| 引用统计 |
被引频次[WOS]：3
|
| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/30232 |
| 专题 | 金融数学与金融工程系 理学院_数学系 商学院_金融系 |
| 作者单位 | 1.South Univ Sci & Technol, Dept Financial Math & Engn, Shenzhen 518055, Peoples R China 2.Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA 3.Cent S Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China |
| 第一作者单位 | 金融数学与金融工程系; 金融系 |
| 通讯作者单位 | 金融数学与金融工程系; 金融系 |
| 第一作者的第一单位 | 金融数学与金融工程系; 金融系 |
| 推荐引用方式 GB/T 7714 |
Li, Jingzhi,Liu, Hongyu. Optimal shape for a nozzle design problem using an arbitrary Lagrangian-Eulerian finite element method[J]. Journal of Inverse and Ill-Posed Problems,2014,22(1):9-30.
|
| APA |
Li, Jingzhi,&Liu, Hongyu.(2014).Optimal shape for a nozzle design problem using an arbitrary Lagrangian-Eulerian finite element method.Journal of Inverse and Ill-Posed Problems,22(1),9-30.
|
| MLA |
Li, Jingzhi,et al."Optimal shape for a nozzle design problem using an arbitrary Lagrangian-Eulerian finite element method".Journal of Inverse and Ill-Posed Problems 22.1(2014):9-30.
|
| 条目包含的文件 | 条目无相关文件。 | |||||
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