RAS one-equation turbulence model with non-singular eddy-viscosity coefficient

M. M. Rahman*, R. K. Agarwal, T. Siikonen

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

15 Citations (Scopus)

Abstract

ABSTRACT: A simplified consistency formulation for Pk/ε (production to dissipation ratio) is devised to obtain a non-singular Cμ (coefficient of eddy-viscosity) in the explicit algebraic Reynolds stress model of Gatski and Speziale. The coefficient Cμ depends non-linearly on both rotational/irrotational strains and is used in the framework of an improved RAS (Rahman–Agarwal–Siikonen) one-equation turbulence model to calculate a few well-documented turbulent flows, yielding predictions in good agreement with the direct numerical simulation and experimental data. The strain-dependent Cμ assists the RAS model in constructing the coefficients and functions such as to benefit complex flows with non-equilibrium turbulence. Comparisons with the Spalart–Allmaras one-equation model and the shear stress transport k-ω model demonstrate that Cμ improves the response of RAS model to non-equilibrium effects.

Original languageEnglish
Pages (from-to)89-106
Number of pages18
JournalInternational Journal of Computational Fluid Dynamics
Volume30
Issue number2
DOIs
Publication statusPublished - 7 Feb 2016
MoE publication typeA1 Journal article-refereed

Keywords

  • eddy-viscosity coefficient
  • non-equilibrium flow
  • one-equation model
  • Production-to-dissipation ratio

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