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.
引用
收藏
页码：1 / 31
页数：31
相关论文
共 50 条
  • [21] Shape Optimization Using the Navier-Stokes Equations in an e-Science Environment
    Cho, Kum Won
    Kim, Byungsang
    Moon, Jongbae
    Sung, Chun-ho
    JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2009, 55 (05) : 2187 - 2192
  • [22] Shape sensitivity analysis for the compressible Navier-Stokes equations via discontinuous Galerkin methods
    Wang, Li
    Anderson, W. Kyle
    COMPUTERS & FLUIDS, 2012, 69 : 93 - 107
  • [23] SHAPE OPTIMIZATION OF THE STOKES EIGENVALUE PROBLEM
    Li, Jiajie
    Zhu, Shengfeng
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2023, 45 (02): : A798 - A828
  • [24] Shape optimization of turbine blade cooling system using topological sensitivity analysis method
    Emna Ghezaiel
    Maatoug Hassine
    Mohamed Abdelwahed
    Nejmeddine Chorfi
    Boundary Value Problems, 2019
  • [25] Optimization of elastic structures using boundary elements and a topological-shape sensitivity formulation
    Marczak, Rogerio Jose
    LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES, 2008, 5 (02): : 99 - 117
  • [26] Shape optimization of turbine blade cooling system using topological sensitivity analysis method
    Ghezaiel, Emna
    Hassine, Maatoug
    Abdelwahed, Mohamed
    Chorfi, Nejmeddine
    BOUNDARY VALUE PROBLEMS, 2019, 2019 (01)
  • [27] AIRFOIL SHAPE OPTIMIZATION USING SENSITIVITY ANALYSIS ON VISCOUS-FLOW EQUATIONS
    ELESHAKY, ME
    BAYSAL, O
    JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME, 1993, 115 (01): : 75 - 84
  • [28] Shape Optimization for Navier-Stokes Equations with Algebraic Turbulence Model: Numerical Analysis and Computation
    Haslinger, Jaroslav
    Stebel, Jan
    APPLIED MATHEMATICS AND OPTIMIZATION, 2011, 63 (02): : 277 - 308
  • [29] Removing holes in topological shape optimization
    Guillaume, Philippe
    Hassine, Maatoug
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2008, 14 (01) : 160 - 191
  • [30] Topological shape optimization for tension structures
    Rafael, Jurado-Pina
    Juan Francisco, Carbonell-Marquez
    Enrique, Hernandez-Montes
    2ND INTERNATIONAL CONGRESS ON MODELS IN STRUCTURAL ENGINEERING, 2013, : 87 - 102
12345