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Fluids 2017, 2(3), 38; doi:10.3390/fluids2030038

The Reduced NS-α Model for Incompressible Flow: A Review of Recent Progress

1
Department of Mathematics, Florida Polytechnic University, Lakeland, FL 33805, USA
2
Department of Mathematical Sciences, Clemson University, Clemson, SC 29634, USA
*
Author to whom correspondence should be addressed.
Received: 3 June 2017 / Revised: 19 June 2017 / Accepted: 30 June 2017 / Published: 6 July 2017
(This article belongs to the Special Issue Turbulence: Numerical Analysis, Modelling and Simulation)
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Abstract

This paper gives a review of recent results for the reduced Navier–Stokes-α (rNS-α) model of incompressible flow. The model was recently developed as a numerical approximation to the well known Navier–Stokes-α model, for the purpose of more efficiently computations in the C0 finite element setting. Its performance in initial numerical tests was remarkable, which led to analytical studies and further numerical tests, all of which provided excellent results. This paper reviews the main results established thus far for rNS-α, and presents some open problems for future work. View Full-Text
Keywords: incompressible flow; regularization models; α models; turbulence incompressible flow; regularization models; α models; turbulence
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Bowers, A.L.; Rebholz, L.G. The Reduced NS-α Model for Incompressible Flow: A Review of Recent Progress. Fluids 2017, 2, 38.

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