A Subgrid Model for the Time-Dependent Navier-Stokes Equations
Joint Authors
Source
Advances in Numerical Analysis
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-09-06
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zhang, Yan& He, Yin Nian. 2009. A Subgrid Model for the Time-Dependent Navier-Stokes Equations. Advances in Numerical Analysis،Vol. 2009, no. 2009, pp.1-20.
https://search.emarefa.net/detail/BIM-476174
Modern Language Association (MLA)
Zhang, Yan& He, Yin Nian. A Subgrid Model for the Time-Dependent Navier-Stokes Equations. Advances in Numerical Analysis No. 2009 (2009), pp.1-20.
https://search.emarefa.net/detail/BIM-476174
American Medical Association (AMA)
Zhang, Yan& He, Yin Nian. A Subgrid Model for the Time-Dependent Navier-Stokes Equations. Advances in Numerical Analysis. 2009. Vol. 2009, no. 2009, pp.1-20.
https://search.emarefa.net/detail/BIM-476174
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476174