A numerical analysis of two dimensional lid driven cavity flow using cubic interpolated pseudo-particle method

The Finite Different Navier Stokes equation (FDNSE) and Cubic Interpolated Pseudo-Particle Navier Stokes equation (CIPNSE) are applied to simulate the 2-D square lid driven cavity flow of water at Reynolds numbers 100, 400 and 1000. CIPNSE scheme solves hyperbolic type equations which is the vortici...

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Main Author:	Mat Sahat, Idris
Format:	Thesis
Language:	English
Published:	2010
Subjects:	TJ Mechanical engineering and machinery
Online Access:	http://eprints.utm.my/id/eprint/11082/6/IdrisMatSahatMFKA2010.pdf
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id	my-utm-ep.11082
record_format	uketd_dc
spelling	my-utm-ep.110822017-09-28T04:25:39Z A numerical analysis of two dimensional lid driven cavity flow using cubic interpolated pseudo-particle method 2010-04 Mat Sahat, Idris TJ Mechanical engineering and machinery The Finite Different Navier Stokes equation (FDNSE) and Cubic Interpolated Pseudo-Particle Navier Stokes equation (CIPNSE) are applied to simulate the 2-D square lid driven cavity flow of water at Reynolds numbers 100, 400 and 1000. CIPNSE scheme solves hyperbolic type equations which is the vorticity transport equation In the CIPNSE, the gradient and the value of the vorticity at the nodes is determined and the stream function is then determined using the vorticity equation. It is discovered that the numerical simulation of CIPNSE provided a very good agreement with the established ‘benchmark’ results by Ghia et. al. but is slightly less accurate compare to FDNSE. The flow structure of 2-D shallow lid driven cavity flow of water at Reynolds numbers has been studied numerically using CIPNSE and compared with FDNSE and Ghia result which show good agreement. The location of the primary and secondary vortex also settled at the same place. For shallow cavity flow, both streamline pattern using FDNSE and CIPNSE show concluding remarks compare to CIPLBM. On top of that, the accuracy of CIPNSE and FDNSE are compared based on Ghia result within the midsection velocity profile where minor differences of accuracy are demonstrated for CIPNSE. On the other hand, both midsection velocity for CIPNSE and FDNSE show tiny differences compare to FDNSE and Constrained Interpolation Profile Lattice Boltzmann Method (CIPLBM). Yet CIPNSE is practical in simulating two dimensional lid driven cavity. 2010-04 Thesis http://eprints.utm.my/id/eprint/11082/ http://eprints.utm.my/id/eprint/11082/6/IdrisMatSahatMFKA2010.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Mechanical Engineering Faculty of Mechanical Engineering
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	TJ Mechanical engineering and machinery
spellingShingle	TJ Mechanical engineering and machinery Mat Sahat, Idris A numerical analysis of two dimensional lid driven cavity flow using cubic interpolated pseudo-particle method
description	The Finite Different Navier Stokes equation (FDNSE) and Cubic Interpolated Pseudo-Particle Navier Stokes equation (CIPNSE) are applied to simulate the 2-D square lid driven cavity flow of water at Reynolds numbers 100, 400 and 1000. CIPNSE scheme solves hyperbolic type equations which is the vorticity transport equation In the CIPNSE, the gradient and the value of the vorticity at the nodes is determined and the stream function is then determined using the vorticity equation. It is discovered that the numerical simulation of CIPNSE provided a very good agreement with the established ‘benchmark’ results by Ghia et. al. but is slightly less accurate compare to FDNSE. The flow structure of 2-D shallow lid driven cavity flow of water at Reynolds numbers has been studied numerically using CIPNSE and compared with FDNSE and Ghia result which show good agreement. The location of the primary and secondary vortex also settled at the same place. For shallow cavity flow, both streamline pattern using FDNSE and CIPNSE show concluding remarks compare to CIPLBM. On top of that, the accuracy of CIPNSE and FDNSE are compared based on Ghia result within the midsection velocity profile where minor differences of accuracy are demonstrated for CIPNSE. On the other hand, both midsection velocity for CIPNSE and FDNSE show tiny differences compare to FDNSE and Constrained Interpolation Profile Lattice Boltzmann Method (CIPLBM). Yet CIPNSE is practical in simulating two dimensional lid driven cavity.
format	Thesis
qualification_level	Master's degree
author	Mat Sahat, Idris
author_facet	Mat Sahat, Idris
author_sort	Mat Sahat, Idris
title	A numerical analysis of two dimensional lid driven cavity flow using cubic interpolated pseudo-particle method
title_short	A numerical analysis of two dimensional lid driven cavity flow using cubic interpolated pseudo-particle method
title_full	A numerical analysis of two dimensional lid driven cavity flow using cubic interpolated pseudo-particle method
title_fullStr	A numerical analysis of two dimensional lid driven cavity flow using cubic interpolated pseudo-particle method
title_full_unstemmed	A numerical analysis of two dimensional lid driven cavity flow using cubic interpolated pseudo-particle method
title_sort	numerical analysis of two dimensional lid driven cavity flow using cubic interpolated pseudo-particle method
granting_institution	Universiti Teknologi Malaysia, Faculty of Mechanical Engineering
granting_department	Faculty of Mechanical Engineering
publishDate	2010
url	http://eprints.utm.my/id/eprint/11082/6/IdrisMatSahatMFKA2010.pdf
_version_	1747814807440982016

A numerical analysis of two dimensional lid driven cavity flow using cubic interpolated pseudo-particle method

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