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Stabilized Discretization in Spline Element Method for Solution of Two-Dimensional Navier-Stokes Problems
Joint Authors
Wan, Neng
Du, Ke
Chen, Tao
Zhang, Sentang
Xie, Gong-Nan
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-26
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In terms of the poor geometric adaptability of spline element method, a geometric precision spline method, which uses the rational Bezier patches to indicate the solution domain, is proposed for two-dimensional viscous uncompressed Navier-Stokes equation.
Besides fewer pending unknowns, higher accuracy, and computation efficiency, it possesses such advantages as accurate representation of isogeometric analysis for object boundary and the unity of geometry and analysis modeling.
Meanwhile, the selection of B-spline basis functions and the grid definition is studied and a stable discretization format satisfying inf-sup conditions is proposed.
The degree of spline functions approaching the velocity field is one order higher than that approaching pressure field, and these functions are defined on one-time refined grid.
The Dirichlet boundary conditions are imposed through the Nitsche variational principle in weak form due to the lack of interpolation properties of the B-splines functions.
Finally, the validity of the proposed method is verified with some examples.
American Psychological Association (APA)
Wan, Neng& Du, Ke& Chen, Tao& Zhang, Sentang& Xie, Gong-Nan. 2014. Stabilized Discretization in Spline Element Method for Solution of Two-Dimensional Navier-Stokes Problems. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013748
Modern Language Association (MLA)
Wan, Neng…[et al.]. Stabilized Discretization in Spline Element Method for Solution of Two-Dimensional Navier-Stokes Problems. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1013748
American Medical Association (AMA)
Wan, Neng& Du, Ke& Chen, Tao& Zhang, Sentang& Xie, Gong-Nan. Stabilized Discretization in Spline Element Method for Solution of Two-Dimensional Navier-Stokes Problems. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013748
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013748