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...
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my-uthm-ep.32412022-02-03T01:52:49Z Solution to navier-stokes equation in stretched coordinate system 2005-11-28 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 Thesis http://eprints.uthm.edu.my/3241/ http://eprints.uthm.edu.my/3241/1/MOHD%20ZAMANI%20NGALI%20-%2024p.pdf text en public mphil masters Universiti Tun Hussein Onn Malaysia Faculty of Mechanical and Manufacturing Engineering |
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Universiti Tun Hussein Onn Malaysia |
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UTHM Institutional Repository |
| language |
English |
| topic |
QA801-939 Analytic mechanics |
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QA801-939 Analytic mechanics Ngali, Mohd Zamani Solution to navier-stokes equation in stretched coordinate system |
| 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. |
| format |
Thesis |
| qualification_name |
Master of Philosophy (M.Phil.) |
| qualification_level |
Master's degree |
| author |
Ngali, Mohd Zamani |
| author_facet |
Ngali, Mohd Zamani |
| author_sort |
Ngali, Mohd Zamani |
| title |
Solution to navier-stokes equation in stretched coordinate system |
| title_short |
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_sort |
solution to navier-stokes equation in stretched coordinate system |
| granting_institution |
Universiti Tun Hussein Onn Malaysia |
| granting_department |
Faculty of Mechanical and Manufacturing Engineering |
| publishDate |
2005 |
| url |
http://eprints.uthm.edu.my/3241/1/MOHD%20ZAMANI%20NGALI%20-%2024p.pdf |
| _version_ |
1747831026529337344 |