Numerical Simulations of the Square Lid Driven Cavity Flow of Bingham Fluids Using Nonconforming Finite Elements Coupled with a Direct Solver
Joint Authors
Mahmood, R.
Kousar, N.
Yaqub, M.
Jabeen, K.
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-03-20
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, numerical simulations are performed in a single and double lid driven square cavity to study the flow of a Bingham viscoplastic fluid.
The governing equations are discretized with the help of finite element method in space and the nonconforming Stokes element Q~1/Q0 is utilized which gives 2nd-order accuracy for velocity and 1st-order accuracy for pressure.
The discretized systems of nonlinear equations are treated by using the Newton method and the inner linear subproablems are solved by the direct solver UMFPACK.
A qualitative comparison is done with the results reported in the literature.
In addition to these comparisons, some new reference data for the kinetic energy is generated.
All these implementations are done in the open source software package FEATFLOW which is a general purpose finite element based solver package for solving partial differential equations.
American Psychological Association (APA)
Mahmood, R.& Kousar, N.& Yaqub, M.& Jabeen, K.. 2017. Numerical Simulations of the Square Lid Driven Cavity Flow of Bingham Fluids Using Nonconforming Finite Elements Coupled with a Direct Solver. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1123202
Modern Language Association (MLA)
Mahmood, R.…[et al.]. Numerical Simulations of the Square Lid Driven Cavity Flow of Bingham Fluids Using Nonconforming Finite Elements Coupled with a Direct Solver. Advances in Mathematical Physics No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1123202
American Medical Association (AMA)
Mahmood, R.& Kousar, N.& Yaqub, M.& Jabeen, K.. Numerical Simulations of the Square Lid Driven Cavity Flow of Bingham Fluids Using Nonconforming Finite Elements Coupled with a Direct Solver. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1123202
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123202