Original title: On flutter analysis by the finite element method using Taylor-Hood and Scott-Vogelius elements
Authors: Vacek, Karel ; Sváček, P.
Document type: Papers
Conference/Event: Conference on Topical Problems of Fluid Mechanics 2025, Praha (CZ), 20250212
Year: 2025
Language: eng
Abstract: This paper presents a numerical study of a complete fluid-structure interaction (FSI) problem of incompressible fluid flow interacting with a flexible supported airfoil whose motion is described by two degrees of freedom. The governing equations for the fluid flow are formulated in the arbitrary Lagrangian-Eulerian (ALE) framework and coupled to a system of ordinary differential equations describing the airfoil motion. The numerical solution is obtained using the finite element method (FEM), where both the Taylor-Hood (TH) and Scott-Vogelius (SV) elements are used. Stabilization techniques, including the streamline upwind Petrov-Galerkin (SUPG) method and grad-div stabilization, are applied to treat convection dominance and numerical oscillations. The results are validated against theoretical benchmarks, confirming the robustness and accuracy of the presented methods.
Keywords: arbitrary Lagrangian-Eulerian method; finite element method; Scott-Vogelius element; Taylor-Hood element
Project no.: GA22-01591S (CEP)
Funding provider: GA ČR
Host item entry: Topical Problems of Fluid Mechanics 2025, ISBN 978-80-87012-05-5, ISSN 2336-5781
Note: Související webová stránka: https://doi.org/10.14311/TPFM.2025.034

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: https://hdl.handle.net/11104/0368012

Permalink: http://www.nusl.cz/ntk/nusl-684968


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Research > Institutes ASCR > Institute of Mathematics
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