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Stochastic 2D Incompressible Navier-Stokes Solver Using the Vorticity-Stream Function Formulation
Joint Authors
Wafa, Mohamed I.
El-Beltagy, Mohamed A.
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-20
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A two-dimensional stochastic solver for the incompressible Navier-Stokes equations is developed.
The vorticity-stream function formulation is considered.
The polynomial chaos expansion was integrated with an unstructured node-centered finite-volume solver.
A second-order upwind scheme is used in the convection term for numerical stability and higher-order discretization.
The resulting sparse linear system is solved efficiently by a direct parallel solver.
The mean and variance simulations of the cavity flow are done for random variation of the viscosity and the lid velocity.
The solver was tested and compared with the Monte-Carlo simulations and with previous research works.
The developed solver is proved to be efficient in simulating the stochastic two-dimensional incompressible flows.
American Psychological Association (APA)
El-Beltagy, Mohamed A.& Wafa, Mohamed I.. 2013. Stochastic 2D Incompressible Navier-Stokes Solver Using the Vorticity-Stream Function Formulation. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-506743
Modern Language Association (MLA)
El-Beltagy, Mohamed A.& Wafa, Mohamed I.. Stochastic 2D Incompressible Navier-Stokes Solver Using the Vorticity-Stream Function Formulation. Journal of Applied Mathematics No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-506743
American Medical Association (AMA)
El-Beltagy, Mohamed A.& Wafa, Mohamed I.. Stochastic 2D Incompressible Navier-Stokes Solver Using the Vorticity-Stream Function Formulation. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-506743
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506743