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A Discontinuous Galerkin Method in Moving Domains

  • I. Lomtev
  • R. M. Kirby
  • G. E. Karniadakis
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 11)

Abstract

We present a matrix-free discontinuous Galerkin method for simulating compressible viscous flows in two- and three-dimensional moving domains in an Arbitrary Lagrangian Eulerian (ALE) framework. Spatial discretization is based on standard structured and unstructured grids but using an orthogonal spectral hierarchical basis. The method is third-order accurate in time, and converges exponentially fast in space for smooth solutions. We also report on open issues related to quadrature crimes and over-integration.

Keywords

Discontinuous Galerkin Method Vortex Tube Arbitrary Lagrangian Eulerian Spectral Element Method Grid Velocity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • I. Lomtev
    • 1
  • R. M. Kirby
    • 1
  • G. E. Karniadakis
    • 1
  1. 1.Division of Applied MathematicsBrown UniversityUSA

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