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Title: On fluid structure interaction problems of the heated cylinder approximated by the finite element method (English)
Author: Vacek, Karel
Author: Sváček, Petr
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Hejnice, June 23-28, 2024
Issue: 2024
Year:
Pages: 159-168
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Category: math
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Summary: This study addresses the problem of the flow around circular cylinders with mixed convection. The focus is on suppressing the vortex-induced vibration (VIV) of the cylinder through heating. The problem is mathematically described using the arbitrary Lagrangian-Eulerian (ALE) method and Boussinesq approximation for simulating fluid flow and heat transfer. The fluid flow is modeled via incompressible Navier-Stokes equations in the ALE formulation with source term, which represent the density variation due to the change of temperature. The temperature is driven by the additional governing transport equation. The equations are numerically discretized by the finite element method (FEM), where for the velocity-pressure couple the Taylor-Hood (TH) finite element is used and the temperature is approximated by the quadratic elements. The proposed solver is tested on benchmark problems. (English)
Keyword: finite element method
Keyword: Taylor-Hood element
Keyword: arbitrary Lagrangian-Eulerian method
Keyword: heated cylinder
MSC: 65F08
MSC: 65M15
MSC: 65N15
DOI: 10.21136/panm.2024.15
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Date available: 2025-06-02T07:43:49Z
Last updated: 2025-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/703218
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