Four-sided lid-driven cavity flow using time splitting method of Adams-Bashforth scheme
In this paper, a second order Adams-Bashforth method is proposed to simulate four-sided square lid-driven cavity flow. The convective term and diffusive term in Navier-Stokes equations are solved using a finite central difference scheme and the unsteady term is solved using the Adams-Bashforth metho...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universiti Malaysia Pahang
2014
|
| Subjects: | |
| Online Access: | http://eprints.utm.my/52921/1/NorAzwadiChe2014_Four-sidedlid-drivencavity.pdf |
| _version_ | 1796859803929149440 |
|---|---|
| author | Che Sidik, Nor Azwadi A., Rajab A., Sofianuddin |
| author_facet | Che Sidik, Nor Azwadi A., Rajab A., Sofianuddin |
| author_sort | Che Sidik, Nor Azwadi |
| collection | ePrints |
| description | In this paper, a second order Adams-Bashforth method is proposed to simulate four-sided square lid-driven cavity flow. The convective term and diffusive term in Navier-Stokes equations are solved using a finite central difference scheme and the unsteady term is solved using the Adams-Bashforth method. All of the flow is simulated at below critical Reynolds numbers in a square cavity with an isothermal condition and the same speed for all walls. In this study, the flow structure for a four-sided lid-driven cavity with its four vortices and a graph of the velocity profile along the center of the cavity are presented. In addition, we also study the effect of the Reynolds number on the development of vortices in the cavity. We find that the Reynolds number has a dominant effect on the flow structure in the cavity. The computed results also show good agreement with the published data. |
| first_indexed | 2024-03-05T19:32:38Z |
| format | Article |
| id | utm.eprints-52921 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T19:32:38Z |
| publishDate | 2014 |
| publisher | Universiti Malaysia Pahang |
| record_format | dspace |
| spelling | utm.eprints-529212018-07-19T07:18:53Z http://eprints.utm.my/52921/ Four-sided lid-driven cavity flow using time splitting method of Adams-Bashforth scheme Che Sidik, Nor Azwadi A., Rajab A., Sofianuddin TJ Mechanical engineering and machinery In this paper, a second order Adams-Bashforth method is proposed to simulate four-sided square lid-driven cavity flow. The convective term and diffusive term in Navier-Stokes equations are solved using a finite central difference scheme and the unsteady term is solved using the Adams-Bashforth method. All of the flow is simulated at below critical Reynolds numbers in a square cavity with an isothermal condition and the same speed for all walls. In this study, the flow structure for a four-sided lid-driven cavity with its four vortices and a graph of the velocity profile along the center of the cavity are presented. In addition, we also study the effect of the Reynolds number on the development of vortices in the cavity. We find that the Reynolds number has a dominant effect on the flow structure in the cavity. The computed results also show good agreement with the published data. Universiti Malaysia Pahang 2014 Article PeerReviewed application/pdf en http://eprints.utm.my/52921/1/NorAzwadiChe2014_Four-sidedlid-drivencavity.pdf Che Sidik, Nor Azwadi and A., Rajab and A., Sofianuddin (2014) Four-sided lid-driven cavity flow using time splitting method of Adams-Bashforth scheme. International Journal of Automotive and Mechanical Engineering, 9 (1). pp. 1501-1510. ISSN 2229-8649 http://dx.doi.org/10.15282/ijame.9.2014.2.0124 DOI: 10.15282/ijame.9.2014.2.0124 |
| spellingShingle | TJ Mechanical engineering and machinery Che Sidik, Nor Azwadi A., Rajab A., Sofianuddin Four-sided lid-driven cavity flow using time splitting method of Adams-Bashforth scheme |
| title | Four-sided lid-driven cavity flow using time splitting method of Adams-Bashforth scheme |
| title_full | Four-sided lid-driven cavity flow using time splitting method of Adams-Bashforth scheme |
| title_fullStr | Four-sided lid-driven cavity flow using time splitting method of Adams-Bashforth scheme |
| title_full_unstemmed | Four-sided lid-driven cavity flow using time splitting method of Adams-Bashforth scheme |
| title_short | Four-sided lid-driven cavity flow using time splitting method of Adams-Bashforth scheme |
| title_sort | four sided lid driven cavity flow using time splitting method of adams bashforth scheme |
| topic | TJ Mechanical engineering and machinery |
| url | http://eprints.utm.my/52921/1/NorAzwadiChe2014_Four-sidedlid-drivencavity.pdf |
| work_keys_str_mv | AT chesidiknorazwadi foursidedliddrivencavityflowusingtimesplittingmethodofadamsbashforthscheme AT arajab foursidedliddrivencavityflowusingtimesplittingmethodofadamsbashforthscheme AT asofianuddin foursidedliddrivencavityflowusingtimesplittingmethodofadamsbashforthscheme |