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Article

Vacek, Karel ; Sváček, Petr
On finite element approximation of fluid structure interaction by Taylor-Hood and Scott-Vogelius elements. (English). In: Chleboun, J., Kůs, P., Papež, J., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Jablonec nad Nisou, June 19-24, 2022. Institute of Mathematics CAS, Prague, 2023. pp. 259-268
MSC: 65F08, 65M15, 65N15 | DOI: 10.21136/panm.2022.24
Keywords:
finite element method; FSI problem; ALE method; Taylor-Hood element; Scott-Vogelius element
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.
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