Numerical Diffusion Control of a Space-Time Discontinuous Galerkin Method

Communications in Computational Physics
Vol. 5 No. 2-4 (2009), pp. 469-483
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Author(s)
,
Off Natl Etud & Rech Aerosp, F-92322 Chatillon, France
Received
October 2, 2007
Accepted
April 18, 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 is shown on propagating pressure waves. 

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