Topological sensitivity and shape optimization for the Stokes equations

被引：81
|
作者：
Guillaume, P [1 ]
Idris, KS [1 ]
机构：
[1] Inst Natl Sci Appl, Dept Math, UMR 5640, MIP, F-31077 Toulouse 4, France
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2004年 / 43卷 / 01期
关键词：
topological sensitivity; topological derivative; shape optimization; design sensitivity; Stokes equations;
D O I：
10.1137/S0363012902411210
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The topological sensitivity analysis provides an asymptotic expansion of a shape function with respect to the insertion of a small hole or obstacle inside a domain. This expansion can then be used for shape optimization. In this paper, such an expansion is obtained for the Stokes equations with general shape functions and arbitrarily shaped holes. A numerical example illustrates the use of the topological sensitivity in a shape optimization problem.
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页码：1 / 31
页数：31
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