An algebraic relationship between turbulent dissipation rate and von Karman length are used to dismiss the transport equation of turbulent dissipation rate in standard (SKE) turbulence model. Meanwhile, a recalibrated Bradshaw's assumption is built based on the data from a boundary layer flow of turbulent flat plate simulated by direct numerical simulation (DNS). The JL model is reformed to a one-equation model which only depends on the turbulent energy, so the new model can also be called kinetic-energy dependent only (KDO) turbulence model. As the KDO model is using the von Karman length scale, it can automatically adjust to fit the resolved structures of the local flow. Results will be shown for the boundary layer flow on a turbulent flat plate, and the external flows of an NACA4412 airfoil, an ONERA-M6 wing, a three dimension delta wing, and an NACA0012 airfoil at deep stall.
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June 2016
Research-Article
A Scale-Adaptive Turbulence Model Based on the k-Equation and Recalibrated Reynolds Stress Constitutive Relation
Yang Zhang,
Yang Zhang
School of Aeronautics,
Northwestern Polytechnical University,
Xi'an, Shaanxi 710072, China
e-mail: vvip@nwpu.edu.cn
Northwestern Polytechnical University,
Xi'an, Shaanxi 710072, China
e-mail: vvip@nwpu.edu.cn
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Jun-Qiang Bai,
Jun-Qiang Bai
Professor
School of Aeronautics,
Northwestern Polytechnical University,
Xi'an, Shaanxi 710072, China
e-mail: junqiang@nwpu.edu.cn
School of Aeronautics,
Northwestern Polytechnical University,
Xi'an, Shaanxi 710072, China
e-mail: junqiang@nwpu.edu.cn
Search for other works by this author on:
Jing-Lei Xu
Jing-Lei Xu
School of Energy and Power Engineering,
Beihang University,
Beijing 100191, China
e-mail: xujl@buaa.edu.cn
Beihang University,
Beijing 100191, China
e-mail: xujl@buaa.edu.cn
Search for other works by this author on:
Yang Zhang
School of Aeronautics,
Northwestern Polytechnical University,
Xi'an, Shaanxi 710072, China
e-mail: vvip@nwpu.edu.cn
Northwestern Polytechnical University,
Xi'an, Shaanxi 710072, China
e-mail: vvip@nwpu.edu.cn
Jun-Qiang Bai
Professor
School of Aeronautics,
Northwestern Polytechnical University,
Xi'an, Shaanxi 710072, China
e-mail: junqiang@nwpu.edu.cn
School of Aeronautics,
Northwestern Polytechnical University,
Xi'an, Shaanxi 710072, China
e-mail: junqiang@nwpu.edu.cn
Jing-Lei Xu
School of Energy and Power Engineering,
Beihang University,
Beijing 100191, China
e-mail: xujl@buaa.edu.cn
Beihang University,
Beijing 100191, China
e-mail: xujl@buaa.edu.cn
1Corresponding author.
Manuscript received March 5, 2015; final manuscript received December 27, 2015; published online March 24, 2016. Assoc. Editor: Sharath S. Girimaji.
J. Fluids Eng. Jun 2016, 138(6): 061203 (11 pages)
Published Online: March 24, 2016
Article history
Received:
March 5, 2015
Revised:
December 27, 2015
Citation
Zhang, Y., Bai, J., and Xu, J. (March 24, 2016). "A Scale-Adaptive Turbulence Model Based on the k-Equation and Recalibrated Reynolds Stress Constitutive Relation." ASME. J. Fluids Eng. June 2016; 138(6): 061203. https://doi.org/10.1115/1.4032535
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