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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Main Author: Rawi, Mohd. Rosdi
Format: Thesis
Language:English
Published: 2014
Subjects:
Online Access:http://eprints.utm.my/id/eprint/50731/25/MohdRosdiRawiMFS2014.pdf
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spelling my.utm.507312020-07-10T10:06:48Z http://eprints.utm.my/id/eprint/50731/ Mixed formulation for navier stokes equations 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 NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/50731/25/MohdRosdiRawiMFS2014.pdf Rawi, Mohd. Rosdi (2014) Mixed formulation for navier stokes equations. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:84874
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
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
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
publishDate 2014
url http://eprints.utm.my/id/eprint/50731/25/MohdRosdiRawiMFS2014.pdf
http://eprints.utm.my/id/eprint/50731/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:84874
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score 13.211869