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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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Main Author: Ngali, Mohd Zamani
Format: Thesis
Language:English
Published: 2005
Subjects:
QA801-939 Analytic mechanics
Online Access:http://eprints.uthm.edu.my/3241/1/MOHD%20ZAMANI%20NGALI%20-%2024p.pdf
http://eprints.uthm.edu.my/3241/
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spelling my.uthm.eprints.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.
institution Universiti Tun Hussein Onn Malaysia
building UTHM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tun Hussein Onn Malaysia
content_source UTHM Institutional Repository
url_provider http://eprints.uthm.edu.my/
language English
topic QA801-939 Analytic mechanics
spellingShingle 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
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
publishDate 2005
url http://eprints.uthm.edu.my/3241/1/MOHD%20ZAMANI%20NGALI%20-%2024p.pdf
http://eprints.uthm.edu.my/3241/
_version_ 1738581100141215744
score 13.211869

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