Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

Finite Element Approximations of Fluid-Structure Interaction Problems: Numerical Analysis of Three Approaches of Aerodynamic Forces Evaluation
Valášek J., Sváček P.
Abstract:
The aerodynamic forces calculation (AFC) is an important part of the fluid-structure interaction problem. In order to increase the overall accuracy three possible methods of AFC within finite element framework are presented. The extrapolation from the interior of the fluid domain is the most straightforward method, the local reconstruction method is based on the idea of the local velocity gradient reconstruction by the least square method. The weak reformulation technique uses the weak formulation of the fluid flow problem for expression of the aerodynamic forces integrated over the boundary. The weak reformulation technique is here described for the case of the time dependent domain. The experimental convergence of all mentioned methods for the drag and lift coefficients is tested on the benchmark of static cylinder in cross-flow. Further, the transferred energy is calculated by three presented methods of AFC for the case of moving cylinder.
Keywords:
Navier-Stokes equations, aerodynamic forces, drag, lift, finite element method

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2021.019

In Proceedings Topical Problems of Fluid Mechanics 2021, Prague, 2021, Edited by Tomáš Bodnár, Tomáš Neustupa and David Šimurda, pp. 140-148 ISBN 978-80-87012-76-5 (Print) ISSN 2336-5781 (Print)