Obstacle detection in fluid flow using asymptotic analysis technique
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 sh...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-03-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-020-01347-y |
| _version_ | 1811327483554824192 |
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| author | Rakia Malek Mohamed Abdelwahed Nejmeddine Chorfi Maatoug Hassine |
| author_facet | Rakia Malek Mohamed Abdelwahed Nejmeddine Chorfi Maatoug Hassine |
| author_sort | Rakia Malek |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T15:07:35Z |
| format | Article |
| id | doaj.art-41dd58307f79411886e4ef28bb4f3f2d |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-04-13T15:07:35Z |
| publishDate | 2020-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-41dd58307f79411886e4ef28bb4f3f2d2022-12-22T02:42:06ZengSpringerOpenBoundary Value Problems1687-27702020-03-012020111410.1186/s13661-020-01347-yObstacle detection in fluid flow using asymptotic analysis techniqueRakia Malek0Mohamed Abdelwahed1Nejmeddine Chorfi2Maatoug Hassine3Department of Mathematics, Faculty of Sciences, Monastir UniversityDepartment of Mathematics, College of Sciences, King Saud UniversityDepartment of Mathematics, College of Sciences, King Saud UniversityDepartment of Mathematics, Faculty of Sciences, Monastir UniversityAbstract 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.http://link.springer.com/article/10.1186/s13661-020-01347-yGeometric inverse problemKohn–Vogelius formulationTopological sensitivity analysisNon-stationary Stokes system |
| spellingShingle | Rakia Malek Mohamed Abdelwahed Nejmeddine Chorfi Maatoug Hassine Obstacle detection in fluid flow using asymptotic analysis technique Boundary Value Problems Geometric inverse problem Kohn–Vogelius formulation Topological sensitivity analysis Non-stationary Stokes system |
| title | Obstacle detection in fluid flow using asymptotic analysis technique |
| title_full | Obstacle detection in fluid flow using asymptotic analysis technique |
| title_fullStr | Obstacle detection in fluid flow using asymptotic analysis technique |
| title_full_unstemmed | Obstacle detection in fluid flow using asymptotic analysis technique |
| title_short | Obstacle detection in fluid flow using asymptotic analysis technique |
| title_sort | obstacle detection in fluid flow using asymptotic analysis technique |
| topic | Geometric inverse problem Kohn–Vogelius formulation Topological sensitivity analysis Non-stationary Stokes system |
| url | http://link.springer.com/article/10.1186/s13661-020-01347-y |
| work_keys_str_mv | AT rakiamalek obstacledetectioninfluidflowusingasymptoticanalysistechnique AT mohamedabdelwahed obstacledetectioninfluidflowusingasymptoticanalysistechnique AT nejmeddinechorfi obstacledetectioninfluidflowusingasymptoticanalysistechnique AT maatoughassine obstacledetectioninfluidflowusingasymptoticanalysistechnique |