On fluid structure interaction problems of the heated cylinder approximated by the finite element method

Vacek, Karel, and Sváček, Petr. "On fluid structure interaction problems of the heated cylinder approximated by the finite element method." Programs and Algorithms of Numerical Mathematics. 2025. 159-168. <http://eudml.org/doc/299954>.

@inProceedings{Vacek2025,
abstract = {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.},
author = {Vacek, Karel, Sváček, Petr},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {finite element method; Taylor-Hood element; arbitrary Lagrangian-Eulerian method; heated cylinder},
pages = {159-168},
title = {On fluid structure interaction problems of the heated cylinder approximated by the finite element method},
url = {http://eudml.org/doc/299954},
year = {2025},
}

TY - CLSWK
AU - Vacek, Karel
AU - Sváček, Petr
TI - On fluid structure interaction problems of the heated cylinder approximated by the finite element method
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2025
SP - 159
EP - 168
AB - 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.
KW - finite element method; Taylor-Hood element; arbitrary Lagrangian-Eulerian method; heated cylinder
UR - http://eudml.org/doc/299954
ER -