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
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不可压缩流的简化 NS-α 模型:最新进展回顾

DOI:
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发表时间:
2017
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通讯作者:
L. Rebholz
L. Rebholz
中科院分区:
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文献类型:
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作者:
Abigail L. Bowers;L. Rebholz

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本文综述了不可压流动的简化Navier-Stokes-α(rNS-α)模型的最新研究结果。该模型是最近发展起来的,作为著名的Navier-Stokes-α模型的数值近似,目的是在C 0有限元设置中更有效地计算。它在最初的数值测试中表现出色,这导致了分析研究和进一步的数值测试,所有这些都提供了出色的结果。本文回顾了迄今为止对rNS-α的主要研究结果,并提出了一些有待进一步研究的问题。
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.