Název:
On flutter analysis by the finite element method using Taylor-Hood and Scott-Vogelius elements
Autoři:
Vacek, Karel ; Sváček, P. Typ dokumentu: Příspěvky z konference Konference/Akce: Conference on Topical Problems of Fluid Mechanics 2025, Praha (CZ), 20250212
Rok:
2025
Jazyk:
eng
Abstrakt: 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.
Klíčová slova:
arbitrary Lagrangian-Eulerian method; finite element method; Scott-Vogelius element; Taylor-Hood element Číslo projektu: GA22-01591S (CEP) Poskytovatel projektu: GA ČR Zdrojový dokument: Topical Problems of Fluid Mechanics 2025, ISBN 978-80-87012-05-5, ISSN 2336-5781 Poznámka: Související webová stránka: https://doi.org/10.14311/TPFM.2025.034
Instituce: Matematický ústav AV ČR
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Informace o dostupnosti dokumentu:
Dokument je dostupný v repozitáři Akademie věd. Původní záznam: https://hdl.handle.net/11104/0368012