Mixed formulation for navier stokes equations
This dissertation presents the formulation and numerical computation of the two dimensional fluid flow whose physics is governed by the Navier Stokes equations. The derivation of the governing equations follows the model of an infinitesimally small element fixed in space with the fluid moving throug...
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2014
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my-utm-ep.507312020-07-10T10:06:48Z Mixed formulation for navier stokes equations 2014-06 Rawi, Mohd. Rosdi QA Mathematics This dissertation presents the formulation and numerical computation of the two dimensional fluid flow whose physics is governed by the Navier Stokes equations. The derivation of the governing equations follows the model of an infinitesimally small element fixed in space with the fluid moving through it. The study focuses using finite element method for solving the fluid flow. Finite element method is believed as the most powerful numerical method for analysis. Mixed formulation has been used for the discretization of the governing equations. It is because we have two primitive variables; velocities and pressure. Source code for Navier Stokes equations has been developed and tested against existing benchmark solutions. 2014-06 Thesis http://eprints.utm.my/id/eprint/50731/ http://eprints.utm.my/id/eprint/50731/25/MohdRosdiRawiMFS2014.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:84874 masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science |
| institution |
Universiti Teknologi Malaysia |
| collection |
UTM Institutional Repository |
| language |
English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Rawi, Mohd. Rosdi Mixed formulation for navier stokes equations |
| description |
This dissertation presents the formulation and numerical computation of the two dimensional fluid flow whose physics is governed by the Navier Stokes equations. The derivation of the governing equations follows the model of an infinitesimally small element fixed in space with the fluid moving through it. The study focuses using finite element method for solving the fluid flow. Finite element method is believed as the most powerful numerical method for analysis. Mixed formulation has been used for the discretization of the governing equations. It is because we have two primitive variables; velocities and pressure. Source code for Navier Stokes equations has been developed and tested against existing benchmark solutions. |
| format |
Thesis |
| qualification_level |
Master's degree |
| author |
Rawi, Mohd. Rosdi |
| author_facet |
Rawi, Mohd. Rosdi |
| author_sort |
Rawi, Mohd. Rosdi |
| title |
Mixed formulation for navier stokes equations |
| title_short |
Mixed formulation for navier stokes equations |
| title_full |
Mixed formulation for navier stokes equations |
| title_fullStr |
Mixed formulation for navier stokes equations |
| title_full_unstemmed |
Mixed formulation for navier stokes equations |
| title_sort |
mixed formulation for navier stokes equations |
| granting_institution |
Universiti Teknologi Malaysia, Faculty of Science |
| granting_department |
Faculty of Science |
| publishDate |
2014 |
| url |
http://eprints.utm.my/id/eprint/50731/25/MohdRosdiRawiMFS2014.pdf |
| _version_ |
1747817522692882432 |