| Title:
|
On finite element approximation of fluid structure interaction by Taylor-Hood and Scott-Vogelius elements (English) |
| Author:
|
Vacek, Karel |
| Author:
|
Sváček, Petr |
| Language:
|
English |
| Journal:
|
Programs and Algorithms of Numerical Mathematics |
| Volume:
|
Proceedings of Seminar. Jablonec nad Nisou, June 19-24, 2022 |
| Issue:
|
2022 |
| Year:
|
|
| Pages:
|
259-268 |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper focuses on mathematical modeling and finite element simulation of fluid-structure interaction problems. A simplified problem of two-dimensional incompressible fluid flow interacting with a rigid structure, whose motion is described with one degree of freedom, is considered. The problem is mathematically described and numerically approximated using the finite element method. Two possibilities, namely Taylor-Hood and Scott-Vogelius elements are presented and implemented. Finally, numerical results of the flow around the cylinder are shown and compared with the reference data. (English) |
| Keyword:
|
finite element method |
| Keyword:
|
FSI problem |
| Keyword:
|
ALE method |
| Keyword:
|
Taylor-Hood element |
| Keyword:
|
Scott-Vogelius element |
| MSC:
|
65F08 |
| MSC:
|
65M15 |
| MSC:
|
65N15 |
| DOI:
|
10.21136/panm.2022.24 |
| . |
| Date available:
|
2023-04-13T06:29:47Z |
| Last updated:
|
2023-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703206 |
| . |
