Obstacle detection in fluid flow using asymptotic analysis technique

Boundary Value Problems

卷:2020

Mohamed Abdelwahed¹  Nejmeddine Chorfi¹  Maatoug Hassine²  Rakia Malek² 

[1] Department of Mathematics, College of Sciences, King Saud University;

[2] Department of Mathematics, Faculty of Sciences, Monastir University;

关键词: Geometric inverse problem;    Kohn–Vogelius formulation;    Topological sensitivity analysis;    Non-stationary Stokes system;   

DOI  :  10.1186/s13661-020-01347-y

来源: DOAJ

【 摘 要 】

Abstract We consider the geometric inverse problem of determining an immersed obstacle in a two-dimensional non-stationary Stokes fluid flow. We use the topological gradient method to solve this problem. The unknown obstacle is located and reconstructed using the leading term of the Khon–Vogelius shape function variation. We propose a simple and fast detection algorithm. The efficiency and accuracy of the proposed approach are illustrated by some numerical examples.

【 授权许可】

Unknown