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A New High-Order Method for the Accurate Simulation of Incompressible Wall-Bounded Flows

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Direct and Large-Eddy Simulation IX

Part of the book series: ERCOFTAC Series ((ERCO,volume 20))

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Abstract

A new high-order method for the accurate simulation of incompressible wall-bounded flows is presented. In stream- and spanwise direction the discretisation is performed by standard Fourier series, while in wall-normal direction the method combines high-order collocated compact finite differences with the influence matrix method to calculate the pressure boundary conditions that render the velocity field divergence-free. The main advantage over Chebyshev collocation is that in wall-normal direction, the grid can be chosen freely and thus excessive clustering near the wall is avoided. Both explicit and implicit discretisations of the viscous terms are described, with the implicit method being more complex, but also having a wider range of applications. The method is validated by simulating fully turbulent channel flow at friction Reynolds number \(Re_\tau = 395\), and comparing our data with existing numerical results. The results show excellent agreement proving that the method simulates all physical processes correctly.

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References

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Acknowledgments

Financial support from the Swedish Research Council and computer time provided by SNIC (Swedish National Infrastructure for Computing) is gratefully acknowledged.

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Authors and Affiliations

  1. Linné FLOW Centre, KTH Mechanics, Osquars Backe 18, 100 44, Stockholm, Sweden

    Peter Lenaers, Phillip Schlatter, Geert Brethouwer & Arne V. Johansson

Authors
  1. Peter Lenaers
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  2. Phillip Schlatter
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  3. Geert Brethouwer
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  4. Arne V. Johansson
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Corresponding author

Correspondence to Peter Lenaers .

Editor information

Editors and Affiliations

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

    Jochen Fröhlich

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

    Hans Kuerten

  3. Faculty EEMCS, Multiscale Modeling and Simulation, University of Twente, Enschede, The Netherlands

    Bernard J. Geurts

  4. Dipartimento di Ingegneria Civile ed Ambientale, Università di Trieste, Trieste, Italy

    Vincenzo Armenio

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Lenaers, P., Schlatter, P., Brethouwer, G., Johansson, A.V. (2015). A New High-Order Method for the Accurate Simulation of Incompressible Wall-Bounded Flows. In: Fröhlich, J., Kuerten, H., Geurts, B., Armenio, V. (eds) Direct and Large-Eddy Simulation IX. ERCOFTAC Series, vol 20. Springer, Cham. https://doi.org/10.1007/978-3-319-14448-1_18

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  • DOI: https://doi.org/10.1007/978-3-319-14448-1_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-14447-4

  • Online ISBN: 978-3-319-14448-1

  • eBook Packages: EngineeringEngineering (R0)

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