Transient Semi-Circular Lid-Driven Cavity Flow Using Nonuniform Structured Grid Method with Upwind Scheme

In this article, two-dimensional lid-driven cavity flow in a semi-circular cavity is simulated using a non-uniform finite different method with structured grid. NavierStokes and continuity equations are simplified using a non-dimensional streamfunction– vorticity approach. A Reynolds number of 1000...

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Main Authors: M. S., Idris, N. M. M., Ammar, T. M. Y. S., Tuan Ya, A. M., Amin
Format: Article
Language:English
Published: Faculty Mechanical Engineering, UMP 2013
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/13750/
http://umpir.ump.edu.my/id/eprint/13750/
http://umpir.ump.edu.my/id/eprint/13750/
http://umpir.ump.edu.my/id/eprint/13750/1/Transient%20Semi-Circular%20Lid-Driven%20Cavity%20Flow%20Using%20Nonuniform%20Structured%20Grid%20Method%20With%20Upwind%20Scheme.pdf
id ump-13750
recordtype eprints
spelling ump-137502018-02-14T07:45:16Z http://umpir.ump.edu.my/id/eprint/13750/ Transient Semi-Circular Lid-Driven Cavity Flow Using Nonuniform Structured Grid Method with Upwind Scheme M. S., Idris N. M. M., Ammar T. M. Y. S., Tuan Ya A. M., Amin TJ Mechanical engineering and machinery In this article, two-dimensional lid-driven cavity flow in a semi-circular cavity is simulated using a non-uniform finite different method with structured grid. NavierStokes and continuity equations are simplified using a non-dimensional streamfunction– vorticity approach. A Reynolds number of 1000 is used and the vorticity and streamfunction contour plot is monitored with convergence criteria of 1x10-7 set to both the vorticity and the streamfunction value. The result shows that the primary vortex moves from the upper left cavity corner to the upper right corner, while the magnitude of the streamfunction grows at the primary vortex center. The primary vortex size decreases steadily as the time increases. This phenomenon is greatly affected by the increasing size of the secondary vortex at the lower left. Slight changes of vortex size are observed as the flow achieves a steady state condition. Validation of the simulation results shows the current value deviation from the established result is less than 5%. In future, it is recommended to use a better numerical method so that the simulation is more stable and so that the calculation time can be reduced. Faculty Mechanical Engineering, UMP 2013 Article PeerReviewed application/pdf en cc_by http://umpir.ump.edu.my/id/eprint/13750/1/Transient%20Semi-Circular%20Lid-Driven%20Cavity%20Flow%20Using%20Nonuniform%20Structured%20Grid%20Method%20With%20Upwind%20Scheme.pdf M. S., Idris and N. M. M., Ammar and T. M. Y. S., Tuan Ya and A. M., Amin (2013) Transient Semi-Circular Lid-Driven Cavity Flow Using Nonuniform Structured Grid Method with Upwind Scheme. Journal of Mechanical Engineering and Sciences (JMES) , 5. pp. 713-722. ISSN 2289-4659 (print); 2231-8380 (online) http://dx.doi.org/10.15282/jmes.5.2013.18.0069 DOI: 10.15282/jmes.5.2013.18.0069
repository_type Digital Repository
institution_category Local University
institution Universiti Malaysia Pahang
building UMP Institutional Repository
collection Online Access
language English
topic TJ Mechanical engineering and machinery
spellingShingle TJ Mechanical engineering and machinery
M. S., Idris
N. M. M., Ammar
T. M. Y. S., Tuan Ya
A. M., Amin
Transient Semi-Circular Lid-Driven Cavity Flow Using Nonuniform Structured Grid Method with Upwind Scheme
description In this article, two-dimensional lid-driven cavity flow in a semi-circular cavity is simulated using a non-uniform finite different method with structured grid. NavierStokes and continuity equations are simplified using a non-dimensional streamfunction– vorticity approach. A Reynolds number of 1000 is used and the vorticity and streamfunction contour plot is monitored with convergence criteria of 1x10-7 set to both the vorticity and the streamfunction value. The result shows that the primary vortex moves from the upper left cavity corner to the upper right corner, while the magnitude of the streamfunction grows at the primary vortex center. The primary vortex size decreases steadily as the time increases. This phenomenon is greatly affected by the increasing size of the secondary vortex at the lower left. Slight changes of vortex size are observed as the flow achieves a steady state condition. Validation of the simulation results shows the current value deviation from the established result is less than 5%. In future, it is recommended to use a better numerical method so that the simulation is more stable and so that the calculation time can be reduced.
format Article
author M. S., Idris
N. M. M., Ammar
T. M. Y. S., Tuan Ya
A. M., Amin
author_facet M. S., Idris
N. M. M., Ammar
T. M. Y. S., Tuan Ya
A. M., Amin
author_sort M. S., Idris
title Transient Semi-Circular Lid-Driven Cavity Flow Using Nonuniform Structured Grid Method with Upwind Scheme
title_short Transient Semi-Circular Lid-Driven Cavity Flow Using Nonuniform Structured Grid Method with Upwind Scheme
title_full Transient Semi-Circular Lid-Driven Cavity Flow Using Nonuniform Structured Grid Method with Upwind Scheme
title_fullStr Transient Semi-Circular Lid-Driven Cavity Flow Using Nonuniform Structured Grid Method with Upwind Scheme
title_full_unstemmed Transient Semi-Circular Lid-Driven Cavity Flow Using Nonuniform Structured Grid Method with Upwind Scheme
title_sort transient semi-circular lid-driven cavity flow using nonuniform structured grid method with upwind scheme
publisher Faculty Mechanical Engineering, UMP
publishDate 2013
url http://umpir.ump.edu.my/id/eprint/13750/
http://umpir.ump.edu.my/id/eprint/13750/
http://umpir.ump.edu.my/id/eprint/13750/
http://umpir.ump.edu.my/id/eprint/13750/1/Transient%20Semi-Circular%20Lid-Driven%20Cavity%20Flow%20Using%20Nonuniform%20Structured%20Grid%20Method%20With%20Upwind%20Scheme.pdf
first_indexed 2023-09-18T22:16:43Z
last_indexed 2023-09-18T22:16:43Z
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