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A Discontinuous Galerkin Method in Moving Domains

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Discontinuous Galerkin Methods

Part of the book series: Lecture Notes in Computational Science and Engineering ((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.

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Author information

Authors and Affiliations

  1. Division of Applied Mathematics, Brown University, USA

    I. Lomtev, R. M. Kirby & G. E. Karniadakis

Authors
  1. I. Lomtev
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  2. R. M. Kirby
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  3. G. E. Karniadakis
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Editor information

Editors and Affiliations

  1. School of Mathematics, University of Minnesota, 206 Church Street S.E., Minneapolis, MN, 55455, USA

    Bernardo Cockburn

  2. Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA

    George E. Karniadakis  & Chi-Wang Shu  & 

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© 2000 Springer-Verlag Berlin Heidelberg

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Lomtev, I., Kirby, R.M., Karniadakis, G.E. (2000). A Discontinuous Galerkin Method in Moving Domains. In: Cockburn, B., Karniadakis, G.E., Shu, CW. (eds) Discontinuous Galerkin Methods. Lecture Notes in Computational Science and Engineering, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59721-3_36

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  • DOI: https://doi.org/10.1007/978-3-642-59721-3_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64098-8

  • Online ISBN: 978-3-642-59721-3

  • eBook Packages: Springer Book Archive

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