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A Numerical Method for Computing Viscous Shock Layers

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Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications

Part of the book series: Notes on Numerical Fluid Mechanics ((NNFM,volume 24))

Abstract

We introduce a high resolution numerical scheme for the computation of viscous shock layers. The novel feature consists in the use of travelling wave solutions as approximating tools. This is a departure from previous methods which are based on splitting the viscous part from the hyperbolic part of the equation. We present stability results as well as numerical tests for one dimensional models.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, The University of Michigan, USA

    Eduard Harabetian

Authors
  1. Eduard Harabetian
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Editor information

Editors and Affiliations

  1. Lehr- und Forschungsgebiet Mechanik, RWTH Aachen, Templergraben 64, 5100, Aachen, Germany

    Josef Ballmann

  2. Institut für Geometric und Praktische Mathematik, RWTH Aachen, Templergraben 55, 5100, Aachen, Germany

    Rolf Jeltsch

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© 1989 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Harabetian, E. (1989). A Numerical Method for Computing Viscous Shock Layers. In: Ballmann, J., Jeltsch, R. (eds) Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications. Notes on Numerical Fluid Mechanics, vol 24. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87869-4_23

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  • DOI: https://doi.org/10.1007/978-3-322-87869-4_23

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-528-08098-3

  • Online ISBN: 978-3-322-87869-4

  • eBook Packages: Springer Book Archive

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