Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting

Purpose – To develop a high-order compact finite-difference method for solving flow problems containing shock waves. Design/methodology/approach – A numerical algorithm based on high-order compact finite-difference schemes is developed for solving Navier-Stokes equations in two-dimensional space. T...

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Main Authors:	Mawlood, M.K., Basri, S., Asrar, Waqar, Omar, Ashraf Ali, Mokhtar, A.S., Ahmad, M.M.
Format:	Article
Language:	English
Published:	Emerald Group Publishing Limited 2006
Subjects:	TL500 Aeronautics
Online Access:	http://irep.iium.edu.my/5966/ http://irep.iium.edu.my/5966/ http://irep.iium.edu.my/5966/ http://irep.iium.edu.my/5966/1/1535236_%281%29.pdf

id	iium-5966
recordtype	eprints
spelling	iium-59662013-07-17T08:08:11Z http://irep.iium.edu.my/5966/ Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting Mawlood, M.K. Basri, S. Asrar, Waqar Omar, Ashraf Ali Mokhtar, A.S. Ahmad, M.M. TL500 Aeronautics Purpose – To develop a high-order compact finite-difference method for solving flow problems containing shock waves. Design/methodology/approach – A numerical algorithm based on high-order compact finite-difference schemes is developed for solving Navier-Stokes equations in two-dimensional space. The convective flux terms are discretized by using advection upstream splitting method (AUSM). The developed method is then used to compute some example laminar flow problems. The problems considered have a range of Mach number that corresponds to subsonic incompressible flow to hypersonic compressible flows that contain shock waves and shock/boundary-layer interaction. Findings – The paper shows that the AUSM flux splitting and high-order compact finite-difference methods can be used accurately and robustly in resolving shear layers and capturing shock waves. The highly diffusive nature of conventional flux splitting especially on coarse grids makes them inaccurate for boundary layers even with high-order discretization. Originality/value – This paper presents a high-order numerical method that can accurately and robustly capture shock waves without deteriorating oscillations and resolve boundary layers and shock/boundary layer interaction. Emerald Group Publishing Limited 2006 Article PeerReviewed application/pdf en http://irep.iium.edu.my/5966/1/1535236_%281%29.pdf Mawlood, M.K. and Basri, S. and Asrar, Waqar and Omar, Ashraf Ali and Mokhtar, A.S. and Ahmad, M.M. (2006) Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting. International Journal of Numerical Methods for Heat & Fluid Flow, 16 (1). pp. 107-120. ISSN 0961-5539 http://www.emeraldinsight.com/journals.htm?articleid=1535236&show=pdf doi: 10.1108/09615530610636982
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 Mawlood, M.K. Basri, S. Asrar, Waqar Omar, Ashraf Ali Mokhtar, A.S. Ahmad, M.M. Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting
description	Purpose – To develop a high-order compact finite-difference method for solving flow problems containing shock waves. Design/methodology/approach – A numerical algorithm based on high-order compact finite-difference schemes is developed for solving Navier-Stokes equations in two-dimensional space. The convective flux terms are discretized by using advection upstream splitting method (AUSM). The developed method is then used to compute some example laminar flow problems. The problems considered have a range of Mach number that corresponds to subsonic incompressible flow to hypersonic compressible flows that contain shock waves and shock/boundary-layer interaction. Findings – The paper shows that the AUSM flux splitting and high-order compact finite-difference methods can be used accurately and robustly in resolving shear layers and capturing shock waves. The highly diffusive nature of conventional flux splitting especially on coarse grids makes them inaccurate for boundary layers even with high-order discretization. Originality/value – This paper presents a high-order numerical method that can accurately and robustly capture shock waves without deteriorating oscillations and resolve boundary layers and shock/boundary layer interaction.
format	Article
author	Mawlood, M.K. Basri, S. Asrar, Waqar Omar, Ashraf Ali Mokhtar, A.S. Ahmad, M.M.
author_facet	Mawlood, M.K. Basri, S. Asrar, Waqar Omar, Ashraf Ali Mokhtar, A.S. Ahmad, M.M.
author_sort	Mawlood, M.K.
title	Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting
title_short	Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting
title_full	Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting
title_fullStr	Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting
title_full_unstemmed	Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting
title_sort	solution of navier-stokes equations by fourth-order compact schemes and ausm flux splitting
publisher	Emerald Group Publishing Limited
publishDate	2006
url	http://irep.iium.edu.my/5966/ http://irep.iium.edu.my/5966/ http://irep.iium.edu.my/5966/ http://irep.iium.edu.my/5966/1/1535236_%281%29.pdf
first_indexed	2023-09-18T20:14:47Z
last_indexed	2023-09-18T20:14:47Z
_version_	1777407715399696384

Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting

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