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Numerical Methods for weakly compressible reactive Flows

  • Conference paper
Numerical Flow Simulation II

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 75))

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Summary

A numerical method is outlined for reactive and non reactive flows in the regime of a vanishing Mach number. Laminar flames are treated as reactive discountinuities by which burnt and unburnt gas is separated. This approach requires to explicitly prescribe the laminar burning velocity Si which is the speed of the flame relative to the unburnt gas. A level set representation of the flame front is used to describe the dynamical behaviour of the front and to obtain geometric information of the front such as normal vectors and local curvature etc. in an easy way. As the laminar burning velocity vanishes (s l ↦ 0) the front becomes a material interface which can be treated by the proposed method as well. The finite volume method is fully conservative and is based upon a projection method. Special attention was paid to design a very simple but efficient numerical scheme.

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Author information

Authors and Affiliations

  1. FB Mathematik und Informatik, Freie Universität Berlin, Arnimallee 2-6, 14195, Berlin, Germany

    Th. Schneider & R. Klein

  2. Konrad-Zuse-Zentrum für Informationstechnik, Takustraße 7, 14195, Berlin, Germany

    Th. Schneider & R. Klein

  3. Potsdamer Institut für Klimafolgeforschung, Telegrafenberg C4, 14412, Potsdam, Germany

    R. Klein

  4. Institut für Aerodynamik und Gasdynamik, Universität Stuttgart, Pfaffenwaldring 21, 70550, Stuttgart, Germany

    R. Fortenbach & C.-D. Munz

Authors
  1. Th. Schneider
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  2. R. Klein
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  3. R. Fortenbach
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  4. C.-D. Munz
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Editor information

Editors and Affiliations

  1. Herzog-Heinrich-Weg 6, D-85604, Zorneding, Germany

    Ernst Heinrich Hirschel

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© 2001 Springer-Verlag Berlin Heidelberg

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Schneider, T., Klein, R., Fortenbach, R., Munz, CD. (2001). Numerical Methods for weakly compressible reactive Flows. In: Hirschel, E.H. (eds) Numerical Flow Simulation II. Notes on Numerical Fluid Mechanics (NNFM), vol 75. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44567-8_12

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  • DOI: https://doi.org/10.1007/978-3-540-44567-8_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07485-1

  • Online ISBN: 978-3-540-44567-8

  • eBook Packages: Springer Book Archive

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