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

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

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....

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Bibliographic Details
Main Authors: Abigail L. Bowers, Leo G. Rebholz
Format: Article
Language:English
Published: MDPI AG 2017-07-01
Series:Fluids
Subjects:
incompressible flow
regularization models
α models
turbulence
Online Access:https://www.mdpi.com/2311-5521/2/3/38
Description
Summary: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.
ISSN:2311-5521

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