The Discontinuous Galerkin Method for Convection-Diffusion Problems in Time-Dependent Domains

Václav Kučera (), Miloslav Feistauer and Jaroslava Prokopov́
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Václav Kučera: Charles University Prague, Faculty of Mathematics and Physics
Miloslav Feistauer: Charles University Prague, Faculty of Mathematics and Physics
Jaroslava Prokopov́: Charles University Prague, Faculty of Mathematics and Physics

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 551-559 from Springer

Abstract: Abstract This paper is concerned with the numerical treatment of convection-diffusion problems in time-dependent domains. A suitable formulation of the governing equations is derived using the Arbitrary Lagrangian–Eulerian (ALE) method. The equations are then discretized in space using the discontinuous Galerkin method. The resulting space-semidiscretization scheme is numerically tested on the compressible Navier–Stokes equations describing the flow of viscous gases. The particular form of these equations allows the use of a semi-implicit time discretization, which has already been extensively studied in the case of stationary computational domains.

Keywords: Discontinuous Galerkin Method; Preconditioned GMRES; Human Vocal; Good Stability Property; Large Sparse Linear System (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_59

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DOI: 10.1007/978-3-642-11795-4_59

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