Authentication email has already been sent, please check your email box: and activate it as soon as possible.
You can login to My Profile and manage your email alerts.
If you haven’t received the email, please:
|
|
There are 1 papers published in subject: > since this site started. |
Results per page: |
Select Subject |
Select/Unselect all | For Selected Papers |
Saved Papers
Please enter a name for this paper to be shown in your personalized Saved Papers list
|
1. Methods on Applying Stream Function Boundary Conditions in DQ Modeling of 2D Lid-driven Cavity Flow | |||
WANG Tong,GE Yaojun,CAO Shuyang | |||
Mechanics 25 September 2011 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
Abstract:The two-dimensional (2D) lid-driven cavity flow is simulated by applying the ordinary differential quadrature (DQ) method to solve the incompressible Navier-Stokes equations in stream function-vorticity form. There are two boundary conditions, one Dirichlet and one Neumann, for the stream function at each boundary though its governing equation is just second-order. Analysis on this over-specified problem is carried out, based on which a new method is proposed to implement these boundary conditions: the Neumann condition is just considered in the vorticity equation while only the Dirichlet condition is applied in the stream function equation. Availability of this method is verified by comparing its numerical results with benchmark data. Two other methods, the One-layer approach and the Two-layer approach, introduced by Shu and Xue (1998) are also shown as a contrast, and detailed formulations are repeated especially for the One-layer approach to reveal its underlying problem: this method is sensitive to the parity of grid numbers in two directions. Comparison between the present method and the Two-layer approach indicates that the former is more convenient to be used in practice for it avoiding the over-specified problem, and also more accurate, while the latter is relatively more efficient. | |||
TO cite this article:WANG Tong,GE Yaojun,CAO Shuyang. Methods on Applying Stream Function Boundary Conditions in DQ Modeling of 2D Lid-driven Cavity Flow[OL].[25 September 2011] http://en.paper.edu.cn/en_releasepaper/content/4442193 |
Select/Unselect all | For Selected Papers |
Saved Papers
Please enter a name for this paper to be shown in your personalized Saved Papers list
|
Results per page: |
About Sciencepaper Online | Privacy Policy | Terms & Conditions | Contact Us
© 2003-2012 Sciencepaper Online. unless otherwise stated