An Improved Low-Reynolds-Number k - ϵ Model for Aerodynamic Flows

Yang Zhang, Jun Qiang Bai, Jing Lei Xu, Xing Si Han, Peng Wang

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

A low-Reynolds-number k - ϵ model based on a new turbulent structure parameter a1-NC=-u′v′/k) and a recalibrated wall-damping function (WDF) fμ is proposed and evaluated. In order to account for the effect of variation of Reynolds number on maximum value of the WDF, a ratio between two different turbulent Reynolds numbers is involved in the WDF. In addition, instead of using a constant ratio between Reynolds shear stress and turbulent kinetic energy, e. g. a1 = 0.31, the new turbulent structure parameter a1-NC is proposed based on several sets of direct numerical simulation (DNS) data. The deduction of near-wall asymptotic behavior is performed to prove that the new proposed model can yield a correct wall value for turbulent viscosity. The new model is validated with several well-documented flow cases, and the yielding results are in good agreement with experimental data. Moreover, three frequently used turbulence models are also involved into the comparisons and the results indicate that the new model offers remarkable improvement on the nonequilibrium flows, e. g. separated and adverse pressure gradient flows.

Original languageEnglish
Pages (from-to)99-112
Number of pages14
JournalInternational Journal of Nonlinear Sciences and Numerical Simulation
Volume17
Issue number2
DOIs
StatePublished - 1 Apr 2016

Keywords

  • aerodynamic flows
  • low Reynolds number
  • turbulence model
  • turbulent flow

Fingerprint

Dive into the research topics of 'An Improved Low-Reynolds-Number k - ϵ Model for Aerodynamic Flows'. Together they form a unique fingerprint.

Cite this