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Adaptive Large Eddy Simulation and Reduced-Order Modeling

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Flow and Combustion in Advanced Gas Turbine Combustors

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

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Abstract

The quality of large eddy simulations can be substantially improved through optimizing the positions of the grid points. LES-specific spatial coordinates are computed using a dynamic mesh moving PDE defined by means of physically motivated design criteria such as equidistributed resolution of turbulent kinetic energy and shear stresses. This moving mesh approach is applied to a three-dimensional flow over periodic hills at Re=10,595 and the numerical results are compared to a highly resolved LES reference solution. Further, the applicability of reduced-order techniques to the context of large eddy simulations is explored. A Galerkin projection of the incompressible Navier–Stokes equations with Smagorinsky sub-grid filtering on a set of reduced basis functions is used to obtain a reduced-order model that contains the dynamics of the LES. As an alternative method, a reduced-order model of the un-filtered equations is calibrated to a set of LES solutions. Both approaches are tested with POD and CVT modes as underlying reduced basis functions.

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Acknowledgements

The authors acknowledge the financial support from the German Research Council (DFG) through the SFB568. We would also like to thank Jochen Fröhlich and Claudia Hertel (TU Dresden) for making the turbulent flow solver LESOCC2 available to us and for their kind programming support during our numerical studies.

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Authors and Affiliations

  1. Department of Mathematics, Technische Universität Darmstadt, Dolivostr. 15, D-64293, Darmstadt, Germany

    S. Ullmann, S. Löbig & J. Lang

  2. Center of Smart Interfaces, Technische Universität Darmstadt, Petersenstr. 30, D-64287, Darmstadt, Germany

    J. Lang

  3. Graduate School Computational Engineering, Technische Universität Darmstadt, Dolivostr. 15, D-64293, Darmstadt, Germany

    J. Lang

Authors
  1. S. Ullmann
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  2. S. Löbig
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  3. J. Lang
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Corresponding author

Correspondence to S. Ullmann .

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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Ullmann, S., Löbig, S., Lang, J. (2013). Adaptive Large Eddy Simulation and Reduced-Order Modeling. 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_12

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  • DOI: https://doi.org/10.1007/978-94-007-5320-4_12

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  • Print ISBN: 978-94-007-5319-8

  • Online ISBN: 978-94-007-5320-4

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