文章基本信息

标题：Obstacle detection in fluid flow using asymptotic analysis technique
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作者：Rakia Malek ; Mohamed Abdelwahed ; Nejmeddine Chorfi 等
期刊名称：Boundary Value Problems
印刷版ISSN：1687-2762
电子版ISSN：1687-2770
出版年度：2020
卷号：2020
期号：1
页码：1-14
DOI：10.1186/s13661-020-01347-y
出版社：Hindawi Publishing Corporation
摘要：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..
关键词：Geometric inverse problem ; Kohn–Vogelius formulation ; Topological sensitivity analysis ; Non-stationary Stokes system ;