On stabilized finite element method in problems of aeroelasticity

Sváček, Petr

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 206-213

Abstract

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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 ( 10 4 - 10 6 ). 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.

How to cite

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Sváček, Petr. "On stabilized finite element method in problems of aeroelasticity." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2004. 206-213. <http://eudml.org/doc/271349>.

@inProceedings{Sváček2004,
abstract = {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 ($10^4-10^6$). 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.},
author = {Sváček, Petr},
booktitle = {Programs and Algorithms of Numerical Mathematics},
location = {Prague},
pages = {206-213},
publisher = {Institute of Mathematics AS CR},
title = {On stabilized finite element method in problems of aeroelasticity},
url = {http://eudml.org/doc/271349},
year = {2004},
}

TY - CLSWK
AU - Sváček, Petr
TI - On stabilized finite element method in problems of aeroelasticity
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2004
CY - Prague
PB - Institute of Mathematics AS CR
SP - 206
EP - 213
AB - 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 ($10^4-10^6$). 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.
UR - http://eudml.org/doc/271349
ER -

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