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...
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2005
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my-uthm-ep.86542023-05-02T02:13:15Z Solution to navier-stokes equation in stretched coordinate system 2005-11 Ngali, Mohd Zamani QA Mathematics 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/8654/ http://eprints.uthm.edu.my/8654/1/24p%20MOHD%20ZAMANI%20NGALI.pdf text en public mphil masters Universiti Teknologi Malaysia Fakulti Kejuruteraan Mekanikal |
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Universiti Tun Hussein Onn Malaysia |
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UTHM Institutional Repository |
| language |
English |
| topic |
QA Mathematics QA801-939 Analytic mechanics |
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QA Mathematics 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 Teknologi Malaysia |
| granting_department |
Fakulti Kejuruteraan Mekanikal |
| publishDate |
2005 |
| url |
http://eprints.uthm.edu.my/8654/1/24p%20MOHD%20ZAMANI%20NGALI.pdf |
| _version_ |
1776103382276112384 |