A new non-linear RANS model with enhanced near-wall treatment of turbulence anisotropy

Hasna Nur Fadhila, Humberto Medina, Svetlana Aleksandrova, Stephen Benjamin

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)
181 Downloads (Pure)


A new ω-based non-linear eddy-viscosity model is proposed. It was developed based on the original k -ω model and formulated using a quadratic stress-strain relation for the Reynolds stress tensor, with an added realisability condition. For enhanced treatment of nearwall turbulence anisotropy, a formulation that scales only with the turbulent Reynolds number is proposed for the first time. The new model has been implemented in the open-source Computational Fluid Dynamics (CFD) package OpenFOAM and validated against plane channel flow, a zero-pressure-gradient flat plate, and a U-bend curved channel configuration. To
further assess the performance of the model for more complex geometries, it has been tested on configurations relevant to automotive applications. Overall, the new model outperforms the standard k - ω model. For example, on a curved channel, improved predictions for the minimum pressure and maximum skin friction of approximately 50% are obtained. Improved predictions are also obtained for quantities of practical engineering relevance, such as the pressure distribution along the wall of a sudden expansion diffuser, a configuration used to inform the design of automotive exhaust systems. This demonstrates that the proposed model has important practical applications for internal flows where anisotropic turbulence effects dominate.
Original languageEnglish
Pages (from-to)293-313
Number of pages21
JournalApplied Mathematical Modelling
Early online date28 Jan 2020
Publication statusPublished - 1 Jun 2020

Bibliographical note

NOTICE: this is the author’s version of a work that was accepted for publication in Applied Mathematical Modelling. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Applied Mathematical Modelling, 82, (2020) DOI: 10.1016/j.apm.2020.01.056

© 2020, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/


  • Turbulence
  • OpenFOAM
  • Anisotropy
  • Swirling flow
  • Catalyst
  • Modelling
  • CFD

ASJC Scopus subject areas

  • Automotive Engineering
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes
  • Modelling and Simulation


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