Cited by 6,119Fluid Dynamics and Turbulent FlowsComputational Fluid Dynamics and AerodynamicsCombustion and flame dynamics

A new k-ε eddy viscosity model for high Reynolds number turbulent flows

Shih, Tsan-Hsing, Liou, William W., Shabbir, Aamir, Yang, Zhigang, Zhu, Jiang·1995·Computers & Fluids

Integrity signals

Registry

Crossref · 10.1016/0045-7930(94)00032-t

Cites

25 of 25 references verified0 citation errors · 0 not checkable

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  • Numerical predictions show that the Shih et al. model performs better than the standard k-# model for a variety of benchmark flows.

    “Numerical predictions show that this model performs better than the standard k -# model for a variety of benchmark flows, such as rotating homogeneous shear flow, boundary-free shear flow, channel and flat boundary layer flow with and without pressure gradients, and backward-facing step flows.”
  • Shih et al. proposed a k-# eddy viscosity model that satisfies the realizability condition, i.e., positivity of normal Reynolds stresses and Schwarz's inequality for turbulent shear stresses.

    “Shih et al. [223] proposed a k -# eddy viscosity model which satisfies the so-called realizability condition, i.e., the positivity of normal Reynold stresses as well as the Schwarz's inequality for turbulent shear stresses.”

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Authors
Shih, T.-H., Liou, W. W., Shabbir, A., Yang, Z., & Zhu, J.
Affiliations
Glenn Research Center (US)
Venue
Computers & Fluids
Publisher
Elsevier BV
Published
1995-03
Volume
24
Issue
3
Pages
227-238
ISSN
0045-7930 (ISSN-L)
OpenAlex
W2032777079
Cited by
6,119
References
25
Citations by year
2026: 479 · 2025: 506 · 2024: 492 · 2023: 444 · 2022: 406 · 2021: 430 · 2020: 381 · 2019: 344 · 2018: 279 · 2017: 295 · 2016: 253 · 2015: 243 · 2014: 247 · 2013: 221 · 2012: 194
FWCI
9.16
Type
journal article
Language
en
Open access
closed
Locations
Computers & Fluids (publishedVersion)
Topics
  • Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
  • Physical Sciences › Engineering › Computational Mechanics › Computational Fluid Dynamics and Aerodynamics
  • Physical Sciences › Engineering › Computational Mechanics › Combustion and flame dynamics
Keywords
k-epsilon turbulence model, eddy viscosity models, dissipation rate equation, realizability constraints, Cauchy-Schwarz inequality, high Reynolds number turbulence, mixing layer, planar jet, axisymmetric jet, channel flow, flat plate boundary layer, backward-facing step, flow separation, turbulence modeling

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