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  • 标题:Obstacle detection in fluid flow using asymptotic analysis technique
  • 本地全文:下载
  • 作者:Rakia Malek ; Mohamed Abdelwahed ; Nejmeddine Chorfi
  • 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 ;
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