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Application of a Higher Order Discontinuous Galerkin

Published online by Cambridge University Press:  16 May 2011

A. V. Wolkov ,
Ch. Hirsch  and
N. B. Petrovskaya
A. V. Wolkov*
Affiliation:
Central Aerohydrodynamic Institute, Zhukovsky, Moscow Region, 140180, Russia
Ch. Hirsch
Affiliation:
Vrije Universiteit Brussel, Belgium
N. B. Petrovskaya
Affiliation:
University of Birmingham, B15 2TT, Birmingham, UK
*
⋆ Corresponding author. E-mail: a.wolkov@mail.ru
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Abstract

We discuss the issues of implementation of a higher order discontinuous Galerkin (DG) scheme for aerodynamics computations. In recent years a DG method has intensively been studied at Central Aerohydrodynamic Institute (TsAGI) where a computational code has been designed for numerical solution of the 3-D Euler and Navier-Stokes equations. Our discussion is mainly based on the results of the DG study conducted in TsAGI in collaboration with the NUMECA International. The capacity of a DG scheme to tackle challenging computational problems is demonstrated and its potential advantages over FV schemes widely used in modern computational aerodynamics are highlighted.

Keywords

computational aerodynamicsdiscontinuous Galerkinhigher order schemes
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 3: Computational aerodynamics , 2011 , pp. 237 - 263
Copyright
© EDP Sciences, 2011

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