Development of a k–ω–ϕ–α turbulence model based on elliptic blending and applications for near-wall and separated flows

X. L. Yang, L. Yang, Z. W. Huang, Yang Liu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)


A new turbulence model based on elliptic blending, termed as k − ω − ϕ − α model, is developed. This model uses the latest version of Wilcox's k − ω model in near-wall region and changes gradually to the BL−v2/K model elsewhere. The capabilities of the present model are evaluated on near-wall and separation flows, i.e. the 2D fully developed channel flow, the asymmetric plane diffuser flow and the 2D backward-facing step flow, in comparison with available direct numerical simulation (DNS) and experimental data. The computational results are compared also to those from the popular BL−v2/K model and the original BL−v2/K model, and the present model is more stable than the BL−v2/K model in complex flows. The present model provides indistinguishable velocity profiles and improved turbulent kinetic energy profiles compared to the BL−v2/K model in the channel flow, while in the separation flows tested herein, the present model can obtain comparable results with the BL−v2/K model, and both of them show improvements to some extent compared with the BL−v2/K model.
Original languageEnglish
Pages (from-to)36-60
Number of pages25
JournalJournal of Turbulence
Issue number1
Publication statusPublished - 2 Jan 2017


  • elliptic blending
  • k–ω–ϕ–α model
  • near-wall flow
  • separated flow
  • Turbulence model

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Physics and Astronomy(all)

Cite this