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Realizable Dynamic Large Eddy Simulation

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Direct and Large-Eddy Simulation XI

Part of the book series: ERCOFTAC Series ((ERCO,volume 25))

Abstract

A very attractive feature of large eddy simulation (LES) is the possibility to apply the dynamic subgrid scale model calculation developed by Germano et al. Phys. Fluids A 3:1760–1765, 1991, [1]. This is a method for the calculation of model parameters as functions of time and space as the simulation progresses. It avoids empirical treatment of model parameters such as damping or wall modeling near the wall boundaries. On the other hand, dynamic LES models usually suffer from instabilities. The mechanism of instability of dynamic sub-grid scale (SGS) models has not yet been fully clarified. Several methods are in use for the stabilization of dynamic SGS models. The most popular methods are clipping of model parameters and their space averaging in homogeneous directions. These stabilization techniques are often difficult or even impossible to apply. In real flows, there are no homogeneous directions in space. It is also difficult to find appropriate clipping values for dynamic LES parameters, which can depend on the type of flow, Reynolds number and grid resolution.

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Acknowledgements

The authors would like to acknowledge support through NASA’s NRA research opportunities in aeronautics program (Grant No. NNX12AJ71A) and support from the National Science Foundation (DMS-CDS&E-MSS, Grant No. 1622488). We are very thankful for computational resources provided by the Wyoming Advanced Research Computing Center [13] and the Wyoming-NCAR Alliance [14].

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Authors and Affiliations

  1. Department of Mathematics, University of Wyoming, 1000 E. Univ. Ave., Laramie, WY, 82071, USA

    R. Mokhtarpoor & S. Heinz

  2. Department of Mechanical Engineering, University of Wyoming, 1000 E. Univ. Ave., Laramie, WY, 82071, USA

    M. K. Stoellinger

Authors
  1. R. Mokhtarpoor
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  2. S. Heinz
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  3. M. K. Stoellinger
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Corresponding author

Correspondence to S. Heinz .

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Editors and Affiliations

  1. Dipartimento di Ingegneria Civile e Industriale, Università di Pisa, Pisa, Italy

    Maria Vittoria Salvetti

  2. Dipartimento di Ingegneria Civile e Ambientale, Università degli studi di Trieste, Trieste, Italy

    Vincenzo Armenio

  3. Institut für Strömungsmechanik, Technische Universität Dresden, Dresden, Germany

    Jochen Fröhlich

  4. Faculty of Electrical Engineering, Mathematics and Computer Science, Multiscale Modeling and Simulation, University of Twente, Enschede, The Netherlands

    Bernard J. Geurts

  5. Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands

    Hans Kuerten

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Mokhtarpoor, R., Heinz, S., Stoellinger, M.K. (2019). Realizable Dynamic Large Eddy Simulation. In: Salvetti, M., Armenio, V., Fröhlich, J., Geurts, B., Kuerten, H. (eds) Direct and Large-Eddy Simulation XI. ERCOFTAC Series, vol 25. Springer, Cham. https://doi.org/10.1007/978-3-030-04915-7_16

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  • DOI: https://doi.org/10.1007/978-3-030-04915-7_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-04914-0

  • Online ISBN: 978-3-030-04915-7

  • eBook Packages: EngineeringEngineering (R0)

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