The Spalart–Allmaras (SA) is one of the most popular turbulence models in the aerospace computational fluid dynamics (CFD) community. In its original (low-Reynolds number) formulation, it requires a very tight grid spacing near the wall to resolve the high flow gradients. However, the use of wall functions with an automatic feature of switching from the wall function to the low-Reynolds number approach is an effective solution to this problem. In this work, we extend Menter's automatic wall treatment (AWT), devised for the k–ω-shear stress transport (SST), to the SA model in our in-house developed three-dimensional unstructured grid density-based CFD solver. It is shown, for both momentum and energy equations, that the formulation gives excellent predictions with low sensitivity to the grid spacing near the wall and allows the first grid point to be placed at y+ as high as 150 without loss of accuracy, even for the curved walls. In practical terms, this means a near-wall grid 10–30 times as coarse as that required in the original model would be sufficient for the computations.
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June 2018
Research-Article
An Automatic Wall Treatment for Spalart–Allmaras Turbulence Model
Ashwani Assam,
Ashwani Assam
Department of Mechanical and Aerospace
Engineering,
Indian Institute of Technology,
Hyderabad 502285, Telangana State, India
e-mail: me12m14p000004@iith.ac.in
Engineering,
Indian Institute of Technology,
Hyderabad 502285, Telangana State, India
e-mail: me12m14p000004@iith.ac.in
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Nikhil Narayan Kalkote,
Nikhil Narayan Kalkote
Department of Mechanical and Aerospace
Engineering,
Indian Institute of Technology,
Hyderabad 502285, Telangana State, India
e-mail: me14resch11002@iith.ac.in
Engineering,
Indian Institute of Technology,
Hyderabad 502285, Telangana State, India
e-mail: me14resch11002@iith.ac.in
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Vatsalya Sharma,
Vatsalya Sharma
Department of Mechanical and Aerospace
Engineering,
Indian Institute of Technology,
Hyderabad 502285, Telangana State, India
e-mail: me12m14p000005@iith.ac.in
Engineering,
Indian Institute of Technology,
Hyderabad 502285, Telangana State, India
e-mail: me12m14p000005@iith.ac.in
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Vinayak Eswaran
Vinayak Eswaran
Professor
Department of Mechanical and
Aerospace Engineering,
Indian Institute of Technology,
Hyderabad 502285, Telangana State, India
e-mail: eswar@iith.ac.in
Department of Mechanical and
Aerospace Engineering,
Indian Institute of Technology,
Hyderabad 502285, Telangana State, India
e-mail: eswar@iith.ac.in
Search for other works by this author on:
Ashwani Assam
Department of Mechanical and Aerospace
Engineering,
Indian Institute of Technology,
Hyderabad 502285, Telangana State, India
e-mail: me12m14p000004@iith.ac.in
Engineering,
Indian Institute of Technology,
Hyderabad 502285, Telangana State, India
e-mail: me12m14p000004@iith.ac.in
Nikhil Narayan Kalkote
Department of Mechanical and Aerospace
Engineering,
Indian Institute of Technology,
Hyderabad 502285, Telangana State, India
e-mail: me14resch11002@iith.ac.in
Engineering,
Indian Institute of Technology,
Hyderabad 502285, Telangana State, India
e-mail: me14resch11002@iith.ac.in
Vatsalya Sharma
Department of Mechanical and Aerospace
Engineering,
Indian Institute of Technology,
Hyderabad 502285, Telangana State, India
e-mail: me12m14p000005@iith.ac.in
Engineering,
Indian Institute of Technology,
Hyderabad 502285, Telangana State, India
e-mail: me12m14p000005@iith.ac.in
Vinayak Eswaran
Professor
Department of Mechanical and
Aerospace Engineering,
Indian Institute of Technology,
Hyderabad 502285, Telangana State, India
e-mail: eswar@iith.ac.in
Department of Mechanical and
Aerospace Engineering,
Indian Institute of Technology,
Hyderabad 502285, Telangana State, India
e-mail: eswar@iith.ac.in
1Corresponding author.
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received August 19, 2017; final manuscript received December 13, 2017; published online February 23, 2018. Assoc. Editor: Daniel Livescu.
J. Fluids Eng. Jun 2018, 140(6): 061403 (10 pages)
Published Online: February 23, 2018
Article history
Received:
August 19, 2017
Revised:
December 13, 2017
Citation
Assam, A., Narayan Kalkote, N., Sharma, V., and Eswaran, V. (February 23, 2018). "An Automatic Wall Treatment for Spalart–Allmaras Turbulence Model." ASME. J. Fluids Eng. June 2018; 140(6): 061403. https://doi.org/10.1115/1.4039087
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