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A New High-Order Method for Simulating Turbulent Pipe Flow

  • Peter Lenaers
  • Philipp Schlatter
  • Geert Brethouwer
  • Arne V. Johansson
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 165)

Abstract

Fully developed incompressible turbulent flow in a smooth pipe is an important, but yet canonical problem in fluid mechanics. During recent years, large experimental (Talamelli et al. Fluid Dyn. Res. 41:021407, 2009 [1]) and numerical (El Khoury et al. Flow Turbul. Combust. 91:475–495, 2013 [2]) interest has shown a number of open questions, in particular related to the scaling of mean and fluctuating quantities, but also to explain similarities and differences to the other canonical wall flows (channels, boundary layers). Most previous numerical efforts towards simulating pipe flows were based on low-order discretisation schemes, motivated by the potential difficulties in the pipe centre, and the need to resolve the numerical singularity. Nevertheless, also a number of high-order methods, based on either radial Chebyshev discretisation, or spectral elements, have been proposed, and used successfully.

Keywords

Spectral Element Fourier Mode Turbulent Pipe Flow Pipe Axis Pipe Centre 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Talamelli, A., Persiani, F., Fransson, J.H.M., Alfredsson, P.H., Johansson, A.V., Hagib, H.M., Rüedi, J.-D., Sreenivasan, K.R., Monkewitz, P.: CICLoPE - a response to the need for high Reynolds number experiments. Fluid Dyn. Res. 41, 021407 (2009)CrossRefzbMATHGoogle Scholar
  2. 2.
    El Khoury, G.K., Schlatter, P., Noorani, A., Fischer, P.F., Brethouwer, G., Johansson, A.V.: Direct numerical simulation of turbulent pipe flow at moderately high Reynolds numbers. Flow Turbul. Combust. 91, 475–495 (2013)CrossRefGoogle Scholar
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    Lenaers, P., Schlatter, P., Brethouwer, G., Johansson, A.V.: A new high-order method for the simulation of incompressible wall-bounded turbulent flows. J. Comput. Phys. 272, 108–126 (2014)MathSciNetCrossRefGoogle Scholar
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    Lenaers, P.: A new high-order method for direct numerical simulations of turbulent wall-bounded flows, PhD Thesis, KTH Mechanics (2014)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Peter Lenaers
    • 1
  • Philipp Schlatter
    • 1
  • Geert Brethouwer
    • 1
  • Arne V. Johansson
    • 1
  1. 1.Linné FLOW CentreKTH MechanicsStockholmSweden

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