In this paper we are concerned with the application of the stabilized finite element method to aero-elastic problems. The main attention is paid to the numerical solution of incompressible viscous two dimensional flow around a flexibly supported solid body. Typical velocities in this case are low enough to assume the air flow being incompressible, on the other hand the Reynolds numbers are very high (). As the neccessary mesh refinement for standard Galerkin approximation is clearly unfeasible, several possibilities of stabilization procedures (SUPG - streamline upwind/Petrov-Galerkin, GLS - Galerkin Least Squares) is discussed. Moreover the application of the stabilized method to an aeroelastic problem is presented.
@article{702798,
title = {On stabilized finite element method in problems of aeroelasticity},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2004},
pages = {206-213},
url = {http://dml.mathdoc.fr/item/702798}
}
Sváček, Petr. On stabilized finite element method in problems of aeroelasticity, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2004), pp. 206-213. http://gdmltest.u-ga.fr/item/702798/