Implicit large eddy simulation of weakly-compressible turbulent channel flow

Ioannis Kokkinakis, D. Drikakis

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

This paper concerns the accuracy of several high-resolution and high-order finite volume schemes in Implicit Large Eddy Simulation of weakly-compressible turbulent channel flow. The main objective is to investigate the properties of numerical schemes, originally designed for compressible flows, in low Mach compressible, near-wall turbulent flows. Variants of the Monotone Upstream-centred Scheme for Conservation Laws and Weighted Essentially Non-Oscillatory schemes for orders of accuracy ranging from second to ninth order, as well as with and without low Mach corrections, have been investigated. The performance of the schemes has been assessed against incompressible Direct Numerical Simulations. Detailed comparisons of the velocity profiles, turbulent shear stresses and higher-order turbulent statistics reveal that the low Mach correction can significantly reduce the numerical dissipation of the methods in low Mach boundary layer flows. The effects of the low Mach correction have more profound impact on second and third-order schemes, but they also improve the accuracy of fifth order schemes. The ninth-order Weighted Essentially Non-Oscillatory scheme is the least dissipative scheme and it is shown that the implementation of the low Mach correction in conjunction with this scheme has a significant anti-dissipative effect that adversely affects the accuracy. Finally, the computational cost required for obtaining the improved accuracy using increasingly higher order schemes is also discussed.
LanguageEnglish
Pages229-261
Number of pages33
JournalComputer Methods in Applied Mechanics and Engineering
Volume287
Early online date7 Feb 2015
DOIs
Publication statusPublished - 15 Apr 2015

Fingerprint

Large eddy simulation
large eddy simulation
channel flow
Channel flow
Mach number
essentially non-oscillatory schemes
compressible flow
boundary layer flow
conservation laws
direct numerical simulation
Compressible flow
Boundary layer flow
turbulent flow
upstream
shear stress
Direct numerical simulation
dissipation
velocity distribution
Turbulent flow
statistics

Keywords

  • implicit large eddy simulation
  • turbulent compressible channel flow
  • high order
  • low mach correction

Cite this

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abstract = "This paper concerns the accuracy of several high-resolution and high-order finite volume schemes in Implicit Large Eddy Simulation of weakly-compressible turbulent channel flow. The main objective is to investigate the properties of numerical schemes, originally designed for compressible flows, in low Mach compressible, near-wall turbulent flows. Variants of the Monotone Upstream-centred Scheme for Conservation Laws and Weighted Essentially Non-Oscillatory schemes for orders of accuracy ranging from second to ninth order, as well as with and without low Mach corrections, have been investigated. The performance of the schemes has been assessed against incompressible Direct Numerical Simulations. Detailed comparisons of the velocity profiles, turbulent shear stresses and higher-order turbulent statistics reveal that the low Mach correction can significantly reduce the numerical dissipation of the methods in low Mach boundary layer flows. The effects of the low Mach correction have more profound impact on second and third-order schemes, but they also improve the accuracy of fifth order schemes. The ninth-order Weighted Essentially Non-Oscillatory scheme is the least dissipative scheme and it is shown that the implementation of the low Mach correction in conjunction with this scheme has a significant anti-dissipative effect that adversely affects the accuracy. Finally, the computational cost required for obtaining the improved accuracy using increasingly higher order schemes is also discussed.",
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Implicit large eddy simulation of weakly-compressible turbulent channel flow. / Kokkinakis, Ioannis; Drikakis, D.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 287, 15.04.2015, p. 229-261.

Research output: Contribution to journalArticle

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