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Discontinuous Galerkin solution of compressible flow in time-dependent domains

Author

Listed:
  • Feistauer, M.
  • Kučera, V.
  • Prokopová, J.

Abstract

This work is concerned with the simulation of inviscid compressible flow in time-dependent domains. We present an arbitrary Lagrangian–Eulerian (ALE) formulation of the Euler equations describing compressible flow, discretize them in space by the discontinous Galerkin method and introduce a semi-implicit linearized time stepping for the numerical solution of the complete problem. Special attention is paid to the treatment of boundary conditions and the limiting procedure avoiding the Gibbs phenomenon in the vicinity of discontinuities. The presented computational results show the applicability of the developed method.

Suggested Citation

  • Feistauer, M. & Kučera, V. & Prokopová, J., 2010. "Discontinuous Galerkin solution of compressible flow in time-dependent domains," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(8), pages 1612-1623.
    • Handle: RePEc:eee:matcom:v:80:y:2010:i:8:p:1612-1623
    DOI: 10.1016/j.matcom.2009.01.020
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    References listed on IDEAS

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    1. Dolejší, Vít & Feistauer, Miloslav & Schwab, Christoph, 2003. "On some aspects of the discontinuous Galerkin finite element method for conservation laws," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 61(3), pages 333-346.
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    Cited by:

    1. Dolejší, Vít, 2013. "hp-DGFEM for nonlinear convection-diffusion problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 87(C), pages 87-118.
    2. Bublík, Ondřej & Vimmr, Jan & Jonášová, Alena, 2015. "Comparison of discontinuous Galerkin time integration schemes for the solution of flow problems with deformable domains," Applied Mathematics and Computation, Elsevier, vol. 267(C), pages 329-340.

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    1. Dolejší, Vít, 2013. "hp-DGFEM for nonlinear convection-diffusion problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 87(C), pages 87-118.

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