Higher order compact-flowfield dependent variation (HOCFDV) method for solving navier-stokes equations

In this paper, a novel high order accurate method, namely high order compact flowfield dependent variation (HOC-FDV) method, has been developed to solve full Navier Stokes equations. The new scheme is a third order accuracy in time and fourth order accuracy in space. The spatial derivatives in the t...

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Main Authors:	Elfaghi, Abdulhafid M., Asrar, Waqar, Omar, Ashraf Ali E.
Format:	Conference or Workshop Item
Language:	English
Published:	2010
Subjects:	TL500 Aeronautics
Online Access:	http://irep.iium.edu.my/2384/ http://irep.iium.edu.my/2384/1/ACFD_%28Hong_Kong%29.pdf

id	iium-2384
recordtype	eprints
spelling	iium-23842016-05-20T00:53:01Z http://irep.iium.edu.my/2384/ Higher order compact-flowfield dependent variation (HOCFDV) method for solving navier-stokes equations Elfaghi, Abdulhafid M. Asrar, Waqar Omar, Ashraf Ali E. TL500 Aeronautics In this paper, a novel high order accurate method, namely high order compact flowfield dependent variation (HOC-FDV) method, has been developed to solve full Navier Stokes equations. The new scheme is a third order accuracy in time and fourth order accuracy in space. The spatial derivatives in the third order accuracy in time, flowfield dependent variation (FDV) equations proposed by Chung, are approximated using high order compact (HOC) Hermitian (Pade) scheme. The solution procedure at each time step consists of a system of block tri-diagonal matrix which can be solved efficiently in a standard manner. Two numerical examples namely; shock tube (Sod) problem and supersonic flow over a flat plate are tested to examine the accuracy and shockwave boundary layer interaction. The results showed the high accuracy and the capability of the new scheme to capture the shock and to simulate accurately the separation and discontinuity. 2010-01-10 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/2384/1/ACFD_%28Hong_Kong%29.pdf Elfaghi, Abdulhafid M. and Asrar, Waqar and Omar, Ashraf Ali E. (2010) Higher order compact-flowfield dependent variation (HOCFDV) method for solving navier-stokes equations. In: The 8th Asian Computational Fluid Dynamics Conference, 10-14 January, 2010, Hong Kong.
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	TL500 Aeronautics
spellingShingle	TL500 Aeronautics Elfaghi, Abdulhafid M. Asrar, Waqar Omar, Ashraf Ali E. Higher order compact-flowfield dependent variation (HOCFDV) method for solving navier-stokes equations
description	In this paper, a novel high order accurate method, namely high order compact flowfield dependent variation (HOC-FDV) method, has been developed to solve full Navier Stokes equations. The new scheme is a third order accuracy in time and fourth order accuracy in space. The spatial derivatives in the third order accuracy in time, flowfield dependent variation (FDV) equations proposed by Chung, are approximated using high order compact (HOC) Hermitian (Pade) scheme. The solution procedure at each time step consists of a system of block tri-diagonal matrix which can be solved efficiently in a standard manner. Two numerical examples namely; shock tube (Sod) problem and supersonic flow over a flat plate are tested to examine the accuracy and shockwave boundary layer interaction. The results showed the high accuracy and the capability of the new scheme to capture the shock and to simulate accurately the separation and discontinuity.
format	Conference or Workshop Item
author	Elfaghi, Abdulhafid M. Asrar, Waqar Omar, Ashraf Ali E.
author_facet	Elfaghi, Abdulhafid M. Asrar, Waqar Omar, Ashraf Ali E.
author_sort	Elfaghi, Abdulhafid M.
title	Higher order compact-flowfield dependent variation (HOCFDV) method for solving navier-stokes equations
title_short	Higher order compact-flowfield dependent variation (HOCFDV) method for solving navier-stokes equations
title_full	Higher order compact-flowfield dependent variation (HOCFDV) method for solving navier-stokes equations
title_fullStr	Higher order compact-flowfield dependent variation (HOCFDV) method for solving navier-stokes equations
title_full_unstemmed	Higher order compact-flowfield dependent variation (HOCFDV) method for solving navier-stokes equations
title_sort	higher order compact-flowfield dependent variation (hocfdv) method for solving navier-stokes equations
publishDate	2010
url	http://irep.iium.edu.my/2384/ http://irep.iium.edu.my/2384/1/ACFD_%28Hong_Kong%29.pdf
first_indexed	2023-09-18T20:09:59Z
last_indexed	2023-09-18T20:09:59Z
_version_	1777407412989329408

Higher order compact-flowfield dependent variation (HOCFDV) method for solving navier-stokes equations

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