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Flow and Combustion in Advanced Gas Turbine Combustors pp 235–260Cite as

Discontinuous Galerkin Methods for Premixed Combustion Multiphase Problems

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Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 1581))

Abstract

Employing the low Mach number approximation, premixed combustion can be modeled as a two-phase flow with the flame modeled as a non-material interface. This will induce jumps in velocity and pressure at the interface, which depend on density ratio. In classical numerical methods for single-phase flows, such as finite volume, it is difficult to represent jumps accurately and stable, i.e. without oscillations, at the same time. Within this work we propose an extension to the Discontinuous Galerkin method which is able to exactly represent jumps, with sub-cell accuracy.

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Acknowledgements

The authors acknowledge the financial support from the German Research Council (DFG) through the SFB568.

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Authors and Affiliations

  1. Department of Mechanical and Processing Engineering, Technische Universität Darmstadt, Petersenstr. 30, 64287, Darmstadt, Germany

    M. Oberlack & F. Kummer

  2. Graduate School Computational Engineering, Technische Universität Darmstadt, Dolivostr. 15, 64287, Darmstadt, Germany

    M. Oberlack & F. Kummer

  3. Center of Smart Interface, Technische Universität Darmstadt, Petersenstr. 32, 64287, Darmstadt, Germany

    M. Oberlack

Authors
  1. M. Oberlack
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  2. F. Kummer
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Corresponding author

Correspondence to M. Oberlack .

Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, Technische Universität Darmstadt, Petersenstrasse 30, Darmstadt, 64287, Germany

    Johannes Janicka

  2. Department of Mechanical Engineering, Darmstadt University of Technology, Petersenstrasse 30, Darmstadt, 64287, Germany

    Amsini Sadiki

  3. Department of Mechanical Engineering, Technische Universität Darmstadt, Dolivostrasse 15, Darmstadt, 64293, Germany

    Michael Schäfer

  4. Center of Smart Interfaces, Technische Universität Darmstadt, Petersenstrasse 32, Darmstadt, 64287, Germany

    Christof Heeger

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Oberlack, M., Kummer, F. (2013). Discontinuous Galerkin Methods for Premixed Combustion Multiphase Problems. In: Janicka, J., Sadiki, A., Schäfer, M., Heeger, C. (eds) Flow and Combustion in Advanced Gas Turbine Combustors. Fluid Mechanics and Its Applications, vol 1581. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5320-4_8

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  • DOI: https://doi.org/10.1007/978-94-007-5320-4_8

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-5319-8

  • Online ISBN: 978-94-007-5320-4

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