Geodesic
Application of a Higher Order Discontinuous Galerkin
A. V. Wolkov1 ; Ch. Hirsch2 ; N. B. Petrovskaya3
1 Central Aerohydrodynamic Institute, Zhukovsky, Moscow Region, 140180, Russia
2 Vrije Universiteit Brussel, Belgium
3 University of Birmingham, B15 2TT, Birmingham, UK
Mathematical modelling of natural phenomena, Tome 6 (2011) no. 3, pp. 237-263.

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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.
DOI : 10.1051/mmnp/20116310

A. V. Wolkov 1 ; Ch. Hirsch 2 ; N. B. Petrovskaya 3

1 Central Aerohydrodynamic Institute, Zhukovsky, Moscow Region, 140180, Russia
2 Vrije Universiteit Brussel, Belgium
3 University of Birmingham, B15 2TT, Birmingham, UK 
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A. V. Wolkov; Ch. Hirsch; N. B. Petrovskaya. Application of a Higher Order Discontinuous Galerkin. Mathematical modelling of natural phenomena, Tome 6 (2011) no. 3, pp. 237-263. doi : 10.1051/mmnp/20116310. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20116310/

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