Commun. Comput. Phys., 5 (2009), pp. 469-483.


Numerical Diffusion Control of a Space-Time Discontinuous Galerkin Method

Michel Borrel 1*, Juliette Ryan 1

1 ONERA, BP72 - 29 Avenue de la Division Leclerc, 92322, Chatillon Cedex, France.

Received 2 October 2007; Accepted (in revised version) 18 April 2008
Available online 1 August 2008

Abstract

Variations on space-time Discontinuous Galerkin (STDG) discretization associated to Runge-Kutta schemes are developed. These new schemes while keeping the original scheme order can improve accuracy and stability. Numerical analysis is made on academic test cases and efficiency of these schemes are shown on propagating pressure waves.

AMS subject classifications: 52B10, 65D18, 68U05, 68U07

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Key words: Gas dynamics, aeroacoustics, discontinuous Galerkin discretization, Runge-Kutta schemes, numerical diffusion control.

*Corresponding author.
Email: borrel@onera.fr (M. Borrel), ryan@onera.fr (J. Ryan)
 

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