Original title: Finite element approximation of fluid structure interaction using Taylor-Hood and Scott-Vogelius elements
Authors: Vacek, Karel ; Sváček, P.
Document type: Papers
Conference/Event: Topical Problems of Fluid Mechanics 2024, Prague (CZ), 20240221
Year: 2024
Language: eng
Abstract: This paper addresses the problem of fluid flow interacting a vibrating solid cylinder described by one degree of freedom system and with fixed airfoil. The problem is described by the incompressible Navier-Stokes equations written in the arbitrary Eulerian-Lagrangian (ALE) formulation. The ALE mapping is constructed with the use of a pseudo-elastic approach. The flow problem is numerically approximated by the finite element method (FEM). For discretization of the fluid flow, the results obtained by both the Taylor-Hood (TH) element and the Scott-Vogelius (SV) finite element are compared. The TH element satisfies the Babuška-Brezzi inf-sup condition, which guarantees the stability of the scheme. In the case of the SV element the mesh, that is created as a barycentric refinement of regular triangulation, is used to satisfy the Babuška-Brezzi condition. The numerical results for two benchmark problems are shown.
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, ISBN 978-80-87012-88-8, ISSN 2336-5781
Note: Související webová stránka: https://doi.org/10.14311/TPFM.2024.031

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/11104/0351299

Permalink: http://www.nusl.cz/ntk/nusl-541545


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