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Compact Fourth-Order Finite-Volume Method for Numerical Solutions of Navier–Stokes Equations on Staggered Grids

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Book cover Direct and Large-Eddy Simulation VII

Part of the book series: ERCOFTAC Series ((ERCO,volume 13))

Abstract

A fourth-order finite-volume method for the three-dimensional Navier–Stokes equations is presented. It uses a novel divergence-free interpolation ensuring mass balance over the momentum cell. The fourth-order convergence rate is shown by the amplitude growth of the most unstable eigenmode in the plane channel flow. Application of the method to a turbulent channel flow demonstrates that the scheme is highly accurate and efficient.

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References

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Author information

Authors and Affiliations

  1. Fachgebiet Hydromechanik, Technische Universität München, München, Germany

    Arpiruk Hokpunna & Michael Manhart

Authors
  1. Arpiruk Hokpunna
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  2. Michael Manhart
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Corresponding author

Correspondence to Arpiruk Hokpunna .

Editor information

Editors and Affiliations

  1. Dipto. Ingegneria Civile e Ambientale, Università di Trieste, Via Valerio, Trieste, 34127, Italy

    Vincenzo Armenio

  2. Fac. Mathematical Sciences, University of Twente, Enschede, Netherlands

    Bernard Geurts

  3. Fak. Maschinenwesen, Inst. Energiemaschinen und, TU Dresden, George-Bähr-Str. 3, Dresden, 01062, Germany

    Jochen Fröhlich

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Hokpunna, A., Manhart, M. (2010). Compact Fourth-Order Finite-Volume Method for Numerical Solutions of Navier–Stokes Equations on Staggered Grids. In: Armenio, V., Geurts, B., Fröhlich, J. (eds) Direct and Large-Eddy Simulation VII. ERCOFTAC Series, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3652-0_19

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  • DOI: https://doi.org/10.1007/978-90-481-3652-0_19

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-3651-3

  • Online ISBN: 978-90-481-3652-0

  • eBook Packages: EngineeringEngineering (R0)

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