Some Numerical Approaches to Solve Fluid Structure Interaction Problems in Blood Flow
Some numerical approaches to solve fluid structure interaction problems in blood flow are reviewed. Fluid structure interaction is the interaction between a deformable structure with either an internal or external flow. A discussion on why the compliant artery associated with fluid structure interac...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/549189 |
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| author | Aik Ying Tang Norsarahaida Amin |
| author_facet | Aik Ying Tang Norsarahaida Amin |
| author_sort | Aik Ying Tang |
| collection | DOAJ |
| description | Some numerical approaches to solve fluid structure interaction problems in blood flow are reviewed. Fluid structure interaction is the interaction between a deformable structure with either an internal or external flow. A discussion on why the compliant artery associated with fluid structure interaction should be taken into consideration in favor of the rigid wall model being included. However, only the Newtonian model of blood is assumed, while various structure models which include, amongst others, generalized string models and linearly viscoelastic Koiter shell model that give a more realistic representation of the vessel walls compared to the rigid structure are presented. Since there exists a strong added mass effect due to the comparable densities of blood and the vessel wall, the numerical approaches to overcome the added mass effect are discussed according to the partitioned and monolithic classifications, where the deficiencies of each approach are highlighted. Improved numerical methods which are more stable and offer less computational cost such as the semi-implicit, kinematic splitting, and the geometrical multiscale approach are summarized, and, finally, an appropriate structure and numerical scheme to tackle fluid structure interaction problems are proposed. |
| format | Article |
| id | doaj-art-e654785f7671448c8ef6f8f8ed40f02b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e654785f7671448c8ef6f8f8ed40f02b2025-08-20T03:26:04ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/549189549189Some Numerical Approaches to Solve Fluid Structure Interaction Problems in Blood FlowAik Ying Tang0Norsarahaida Amin1Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia UTM, 81310 Johor Bahru, Johor Darul Takzim, MalaysiaDepartment of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia UTM, 81310 Johor Bahru, Johor Darul Takzim, MalaysiaSome numerical approaches to solve fluid structure interaction problems in blood flow are reviewed. Fluid structure interaction is the interaction between a deformable structure with either an internal or external flow. A discussion on why the compliant artery associated with fluid structure interaction should be taken into consideration in favor of the rigid wall model being included. However, only the Newtonian model of blood is assumed, while various structure models which include, amongst others, generalized string models and linearly viscoelastic Koiter shell model that give a more realistic representation of the vessel walls compared to the rigid structure are presented. Since there exists a strong added mass effect due to the comparable densities of blood and the vessel wall, the numerical approaches to overcome the added mass effect are discussed according to the partitioned and monolithic classifications, where the deficiencies of each approach are highlighted. Improved numerical methods which are more stable and offer less computational cost such as the semi-implicit, kinematic splitting, and the geometrical multiscale approach are summarized, and, finally, an appropriate structure and numerical scheme to tackle fluid structure interaction problems are proposed.http://dx.doi.org/10.1155/2014/549189 |
| spellingShingle | Aik Ying Tang Norsarahaida Amin Some Numerical Approaches to Solve Fluid Structure Interaction Problems in Blood Flow Abstract and Applied Analysis |
| title | Some Numerical Approaches to Solve Fluid Structure Interaction Problems in Blood Flow |
| title_full | Some Numerical Approaches to Solve Fluid Structure Interaction Problems in Blood Flow |
| title_fullStr | Some Numerical Approaches to Solve Fluid Structure Interaction Problems in Blood Flow |
| title_full_unstemmed | Some Numerical Approaches to Solve Fluid Structure Interaction Problems in Blood Flow |
| title_short | Some Numerical Approaches to Solve Fluid Structure Interaction Problems in Blood Flow |
| title_sort | some numerical approaches to solve fluid structure interaction problems in blood flow |
| url | http://dx.doi.org/10.1155/2014/549189 |
| work_keys_str_mv | AT aikyingtang somenumericalapproachestosolvefluidstructureinteractionproblemsinbloodflow AT norsarahaidaamin somenumericalapproachestosolvefluidstructureinteractionproblemsinbloodflow |