Numerical Implementations for 2D Lid-Driven Cavity Flow in Stream Function Formulation
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-31
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
The aim of this paper is to study the properties of approximations to nonlinear terms of the 2D incompressible Navier-Stokes equations in the stream function formulation (time-dependent biharmonic equation).
The nonlinear convective terms are numerically solved by using the method with internal iterations, compared to the ones which are solved by using explicit and implicit schemes (operator splitting scheme Christov and Marinova; (2001)).
Using schemes and algorithms, the steady 2D incompressible flow in a lid-driven cavity is solved up to Reynolds number Re =5000 with second-order spatial accuracy.
The schemes are thoroughly validated on grids with different resolutions.
The result of numerical experiments shows that the finite difference scheme with internal iterations on nonlinearity is more efficient for the high Reynolds number.
American Psychological Association (APA)
Poochinapan, Kanyuta. 2012. Numerical Implementations for 2D Lid-Driven Cavity Flow in Stream Function Formulation. ISRN Applied Mathematics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-505028
Modern Language Association (MLA)
Poochinapan, Kanyuta. Numerical Implementations for 2D Lid-Driven Cavity Flow in Stream Function Formulation. ISRN Applied Mathematics No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-505028
American Medical Association (AMA)
Poochinapan, Kanyuta. Numerical Implementations for 2D Lid-Driven Cavity Flow in Stream Function Formulation. ISRN Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-505028
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505028