文章基本信息

标题：A Subgrid Model for the Time-Dependent Navier-Stokes Equations
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作者：Yan Zhang ; Yinnian He
期刊名称：Advances in Numerical Analysis
印刷版ISSN：1687-9562
电子版ISSN：1687-9570
出版年度：2009
卷号：2009
DOI：10.1155/2009/494829
出版社：Hindawi Publishing Corporation
摘要：We propose a stabilized subgrid finite-element method for the two-dimensional (2D) nonstationary incompressible Naver-Stokes equation (NSE). This method yields a subgrid eddy viscosity which does not act on the large flow structures. The proposed eddy viscous term is constructed by a fluctuation operator based on an 𝐿2-projection. The fluctuation operator can be implemented by the 𝐿2-projection from high-order interpolation finite-element spaces to the low-order interpolation finite-element spaces. In this paper, 𝑃2/𝑃1 mixed finite-element spaces are adopted to implement the calculation and the analysis. The error analysis is given based on some regular assumptions. Finally, in the part of numerical tests, the numerical computations show that the numerical results agree with theoretical analysis very well. Meanwhile, the numerical investigations demonstrate that the proposed subgrid is very effective for high Reynolds number fluid flows and superior to other referred subgrid models.