Solution to navier-stokes equation in stretched coordinate system
Solution to Navier-Stokes equation by Splitting method in physical orthogonal algebraic curvilinear coordinate system, also termed 'stretched coordinate' is presented. The unsteady Navier-Stokes equations with constant density are solved numerically. The linear terms are solved by Crank-Ni...
| Main Author: | |
|---|---|
| Format: | Thesis |
| Language: | English |
| Published: |
2005
|
| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/3241/ http://eprints.uthm.edu.my/3241/1/MOHD%20ZAMANI%20NGALI%20-%2024p.pdf |
| _version_ | 1848887967600345088 |
|---|---|
| author | Ngali, Mohd Zamani |
| author_facet | Ngali, Mohd Zamani |
| author_sort | Ngali, Mohd Zamani |
| building | UTHM Institutional Repository |
| collection | Online Access |
| description | Solution to Navier-Stokes equation by Splitting method in physical orthogonal algebraic curvilinear coordinate system, also termed 'stretched coordinate' is presented. The unsteady Navier-Stokes equations with constant density are solved numerically. The linear terms are solved by Crank-Nicholson method while the non-linear term is solved by the second order Adams-Bashforth method. The results show improved in comparison of efficiency and accuracy with benchmark steady solution of driven cavity by Ghia et al. and other first order differencing schemes including splitting scheme in Cartesian coordinate system. Enormous improvements from the original Splitting method in Cartesian coordinate observed where accurate solutions are obtained in minimum 17 X 17 from 33 X 33 resolution for Re = 100, 47 X 47 from 129 X 129 resolution for Re = 400 and 65 X 65 from 259 X 259 resolution for Re = 1000. |
| first_indexed | 2025-11-15T20:02:48Z |
| format | Thesis |
| id | uthm-3241 |
| institution | Universiti Tun Hussein Onn Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T20:02:48Z |
| publishDate | 2005 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | uthm-32412022-02-03T01:52:49Z http://eprints.uthm.edu.my/3241/ Solution to navier-stokes equation in stretched coordinate system Ngali, Mohd Zamani QA801-939 Analytic mechanics Solution to Navier-Stokes equation by Splitting method in physical orthogonal algebraic curvilinear coordinate system, also termed 'stretched coordinate' is presented. The unsteady Navier-Stokes equations with constant density are solved numerically. The linear terms are solved by Crank-Nicholson method while the non-linear term is solved by the second order Adams-Bashforth method. The results show improved in comparison of efficiency and accuracy with benchmark steady solution of driven cavity by Ghia et al. and other first order differencing schemes including splitting scheme in Cartesian coordinate system. Enormous improvements from the original Splitting method in Cartesian coordinate observed where accurate solutions are obtained in minimum 17 X 17 from 33 X 33 resolution for Re = 100, 47 X 47 from 129 X 129 resolution for Re = 400 and 65 X 65 from 259 X 259 resolution for Re = 1000. 2005-11-28 Thesis NonPeerReviewed text en http://eprints.uthm.edu.my/3241/1/MOHD%20ZAMANI%20NGALI%20-%2024p.pdf Ngali, Mohd Zamani (2005) Solution to navier-stokes equation in stretched coordinate system. Masters thesis, Universiti Tun Hussein Onn Malaysia. |
| spellingShingle | QA801-939 Analytic mechanics Ngali, Mohd Zamani Solution to navier-stokes equation in stretched coordinate system |
| title | Solution to navier-stokes equation in stretched coordinate system |
| title_full | Solution to navier-stokes equation in stretched coordinate system |
| title_fullStr | Solution to navier-stokes equation in stretched coordinate system |
| title_full_unstemmed | Solution to navier-stokes equation in stretched coordinate system |
| title_short | Solution to navier-stokes equation in stretched coordinate system |
| title_sort | solution to navier-stokes equation in stretched coordinate system |
| topic | QA801-939 Analytic mechanics |
| url | http://eprints.uthm.edu.my/3241/ http://eprints.uthm.edu.my/3241/1/MOHD%20ZAMANI%20NGALI%20-%2024p.pdf |