Numerical computation of lid driven cavity using marker and cell (MAC) method

The numerical analysis of lid driven in a square cavity flow is discussed. The two dimensional, incompressible, time dependent Navier-Stokes equations are investigated. The governing equations which contains continuity and momentum equations are derived from conservation of mass and conservation of...

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Main Author:	Mat Daud, Nurul Izyan
Format:	Thesis
Language:	English
Published:	2014
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/41921/1/NurulIzyanMatDaudMFS2014.pdf
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id	my-utm-ep.41921
record_format	uketd_dc
spelling	my-utm-ep.419212017-09-10T07:51:19Z Numerical computation of lid driven cavity using marker and cell (MAC) method 2014-01 Mat Daud, Nurul Izyan QA Mathematics The numerical analysis of lid driven in a square cavity flow is discussed. The two dimensional, incompressible, time dependent Navier-Stokes equations are investigated. The governing equations which contains continuity and momentum equations are derived from conservation of mass and conservation of momentum. The governing equations are first transformed into nondimensional equations. These equations are solved numerically using Marker and Cell (MAC) method in conjunction with fractional step method. Next, the results plotted using Matlab. Numerical results presented include the velocity profiles, pressure and vorticity contours. The velocity profiles is compared with [1]. The results showed that MAC method is suitable for solving the problem since the error is not quite difference. Different Reynolds number are used causing perturbation on vorticity contours. Then, the problem is extended by adding a velocity at the bottom wall of cavity. The pattern of the flow fluid is changed when different direction of velocities is applied to the problem. Linear stability condition must be obeyed in choosing Reynolds number. The smaller the Reynolds number gives more stability to the problem. The very large Reynolds number make diffusive terms becomes zeroes. 2014-01 Thesis http://eprints.utm.my/id/eprint/41921/ http://eprints.utm.my/id/eprint/41921/1/NurulIzyanMatDaudMFS2014.pdf application/pdf en public 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 Mat Daud, Nurul Izyan Numerical computation of lid driven cavity using marker and cell (MAC) method
description	The numerical analysis of lid driven in a square cavity flow is discussed. The two dimensional, incompressible, time dependent Navier-Stokes equations are investigated. The governing equations which contains continuity and momentum equations are derived from conservation of mass and conservation of momentum. The governing equations are first transformed into nondimensional equations. These equations are solved numerically using Marker and Cell (MAC) method in conjunction with fractional step method. Next, the results plotted using Matlab. Numerical results presented include the velocity profiles, pressure and vorticity contours. The velocity profiles is compared with [1]. The results showed that MAC method is suitable for solving the problem since the error is not quite difference. Different Reynolds number are used causing perturbation on vorticity contours. Then, the problem is extended by adding a velocity at the bottom wall of cavity. The pattern of the flow fluid is changed when different direction of velocities is applied to the problem. Linear stability condition must be obeyed in choosing Reynolds number. The smaller the Reynolds number gives more stability to the problem. The very large Reynolds number make diffusive terms becomes zeroes.
format	Thesis
qualification_level	Master's degree
author	Mat Daud, Nurul Izyan
author_facet	Mat Daud, Nurul Izyan
author_sort	Mat Daud, Nurul Izyan
title	Numerical computation of lid driven cavity using marker and cell (MAC) method
title_short	Numerical computation of lid driven cavity using marker and cell (MAC) method
title_full	Numerical computation of lid driven cavity using marker and cell (MAC) method
title_fullStr	Numerical computation of lid driven cavity using marker and cell (MAC) method
title_full_unstemmed	Numerical computation of lid driven cavity using marker and cell (MAC) method
title_sort	numerical computation of lid driven cavity using marker and cell (mac) method
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2014
url	http://eprints.utm.my/id/eprint/41921/1/NurulIzyanMatDaudMFS2014.pdf
_version_	1747816649425158144

Numerical computation of lid driven cavity using marker and cell (MAC) method

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