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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. Th...

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Main Authors:	Mawlood M.K., Basri S., Asrar W., Omar A.A., Mokhtar A.S., Ahmad M.M.H.M.
Other Authors:	6507670187
Format:	Article
Published:	2023
Subjects:	Finite difference methods Flow Wave properties finite difference technique heat flux mathematical analysis Navier-Stokes equations Algorithms Boundary layers Finite difference method Navier Stokes equations Shock waves Advection upstream splitting method (AUSM) Shear layers Heat flux
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id	my.uniten.dspace-29793
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spelling	my.uniten.dspace-297932023-12-28T16:57:42Z Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting Mawlood M.K. Basri S. Asrar W. Omar A.A. Mokhtar A.S. Ahmad M.M.H.M. 6507670187 6603349880 6603244837 7202864035 56186284800 7402896178 Finite difference methods Flow Wave properties finite difference technique heat flux mathematical analysis Navier-Stokes equations Algorithms Boundary layers Finite difference method Navier Stokes equations Shock waves Advection upstream splitting method (AUSM) Shear layers Wave properties Heat flux 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. Final 2023-12-28T08:57:42Z 2023-12-28T08:57:42Z 2006 Article 10.1108/09615530610636982 2-s2.0-30344459098 https://www.scopus.com/inward/record.uri?eid=2-s2.0-30344459098&doi=10.1108%2f09615530610636982&partnerID=40&md5=31d620ccb09538722e78e7c1343efe42 https://irepository.uniten.edu.my/handle/123456789/29793 16 1 107 120 Scopus
institution	Universiti Tenaga Nasional
building	UNITEN Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Tenaga Nasional
content_source	UNITEN Institutional Repository
url_provider	http://dspace.uniten.edu.my/
topic	Finite difference methods Flow Wave properties finite difference technique heat flux mathematical analysis Navier-Stokes equations Algorithms Boundary layers Finite difference method Navier Stokes equations Shock waves Advection upstream splitting method (AUSM) Shear layers Wave properties Heat flux
spellingShingle	Finite difference methods Flow Wave properties finite difference technique heat flux mathematical analysis Navier-Stokes equations Algorithms Boundary layers Finite difference method Navier Stokes equations Shock waves Advection upstream splitting method (AUSM) Shear layers Wave properties Heat flux Mawlood M.K. Basri S. Asrar W. Omar A.A. Mokhtar A.S. Ahmad M.M.H.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. � Emerald Group Publishing Limited.
author2	6507670187
author_facet	6507670187 Mawlood M.K. Basri S. Asrar W. Omar A.A. Mokhtar A.S. Ahmad M.M.H.M.
format	Article
author	Mawlood M.K. Basri S. Asrar W. Omar A.A. Mokhtar A.S. Ahmad M.M.H.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
publishDate	2023
_version_	1806428378806353920
score	13.211869

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

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