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Higher-order bounded differencing schemes for compressible and incompressible flows

In recent years, three higher-order (HO) bounded differencing schemes, namely AVLSMART, CUBISTA and HOAB that were derived by adopting the normalized variable formulation (NVF), have been proposed. In this paper, a comparative study is performed on these schemes to assess their numerical accuracy, c...

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Main Authors:	Ng K.C., Yusoff M.Z., Ng E.Y.K.
Other Authors:	55310814500
Format:	Article
Published:	2023
Subjects:	Boundedness High-resolution scheme Normalized variable formulation QUICK SIMPLE Time-marching method Compressible flow Computational fluid dynamics Convergence of numerical methods Costs Incompressible flow Iterative methods Transonic flow High-order bounded differencing scheme
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id	my.uniten.dspace-29787
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spelling	my.uniten.dspace-297872023-12-28T16:57:40Z Higher-order bounded differencing schemes for compressible and incompressible flows Ng K.C. Yusoff M.Z. Ng E.Y.K. 55310814500 7003976733 7201647536 Boundedness High-resolution scheme Normalized variable formulation QUICK SIMPLE Time-marching method Compressible flow Computational fluid dynamics Convergence of numerical methods Costs Incompressible flow Iterative methods Transonic flow Compressible flow Convergence of numerical methods Costs Incompressible flow Iterative methods Transonic flow High-order bounded differencing scheme Normalized variable formulation Computational fluid dynamics In recent years, three higher-order (HO) bounded differencing schemes, namely AVLSMART, CUBISTA and HOAB that were derived by adopting the normalized variable formulation (NVF), have been proposed. In this paper, a comparative study is performed on these schemes to assess their numerical accuracy, computational cost as well as iterative convergence property. All the schemes are formulated on the basis of a new dual-formulation in order to facilitate their implementations on unstructured meshes. Based on the proposed dual-formulation, the net effective blending factor (NEBF) of a high-resolution (HR) scheme can now be measured and its relevance on the accuracy and computational cost of a HR scheme is revealed on three test problems: (1) advection of a scalar step-profile; (2) 2D transonic flow past a circular arc bump; and (3) 3D lid-driven incompressible cavity flow. Both density-based and pressure-based methods are used for the computations of compressible and incompressible flow, respectively. Computed results show that all the schemes produce solutions which are nearly as accurate as the third-order QUICK scheme; however, without the unphysical oscillations which are commonly inherited from the HO linear differencing scheme. Generally, it is shown that at higher value of NEBF, a HR scheme can attain better accuracy at the expense of computational cost. Copyright � 2006 John Wiley & Sons, Ltd. Final 2023-12-28T08:57:40Z 2023-12-28T08:57:40Z 2007 Article 10.1002/fld.1248 2-s2.0-33845628627 https://www.scopus.com/inward/record.uri?eid=2-s2.0-33845628627&doi=10.1002%2ffld.1248&partnerID=40&md5=e7fc9c931c5c33281f4fc87cac4d8163 https://irepository.uniten.edu.my/handle/123456789/29787 53 1 57 80 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	Boundedness High-resolution scheme Normalized variable formulation QUICK SIMPLE Time-marching method Compressible flow Computational fluid dynamics Convergence of numerical methods Costs Incompressible flow Iterative methods Transonic flow Compressible flow Convergence of numerical methods Costs Incompressible flow Iterative methods Transonic flow High-order bounded differencing scheme Normalized variable formulation Computational fluid dynamics
spellingShingle	Boundedness High-resolution scheme Normalized variable formulation QUICK SIMPLE Time-marching method Compressible flow Computational fluid dynamics Convergence of numerical methods Costs Incompressible flow Iterative methods Transonic flow Compressible flow Convergence of numerical methods Costs Incompressible flow Iterative methods Transonic flow High-order bounded differencing scheme Normalized variable formulation Computational fluid dynamics Ng K.C. Yusoff M.Z. Ng E.Y.K. Higher-order bounded differencing schemes for compressible and incompressible flows
description	In recent years, three higher-order (HO) bounded differencing schemes, namely AVLSMART, CUBISTA and HOAB that were derived by adopting the normalized variable formulation (NVF), have been proposed. In this paper, a comparative study is performed on these schemes to assess their numerical accuracy, computational cost as well as iterative convergence property. All the schemes are formulated on the basis of a new dual-formulation in order to facilitate their implementations on unstructured meshes. Based on the proposed dual-formulation, the net effective blending factor (NEBF) of a high-resolution (HR) scheme can now be measured and its relevance on the accuracy and computational cost of a HR scheme is revealed on three test problems: (1) advection of a scalar step-profile; (2) 2D transonic flow past a circular arc bump; and (3) 3D lid-driven incompressible cavity flow. Both density-based and pressure-based methods are used for the computations of compressible and incompressible flow, respectively. Computed results show that all the schemes produce solutions which are nearly as accurate as the third-order QUICK scheme; however, without the unphysical oscillations which are commonly inherited from the HO linear differencing scheme. Generally, it is shown that at higher value of NEBF, a HR scheme can attain better accuracy at the expense of computational cost. Copyright � 2006 John Wiley & Sons, Ltd.
author2	55310814500
author_facet	55310814500 Ng K.C. Yusoff M.Z. Ng E.Y.K.
format	Article
author	Ng K.C. Yusoff M.Z. Ng E.Y.K.
author_sort	Ng K.C.
title	Higher-order bounded differencing schemes for compressible and incompressible flows
title_short	Higher-order bounded differencing schemes for compressible and incompressible flows
title_full	Higher-order bounded differencing schemes for compressible and incompressible flows
title_fullStr	Higher-order bounded differencing schemes for compressible and incompressible flows
title_full_unstemmed	Higher-order bounded differencing schemes for compressible and incompressible flows
title_sort	higher-order bounded differencing schemes for compressible and incompressible flows
publishDate	2023
_version_	1806426503077953536
score	13.222552

Higher-order bounded differencing schemes for compressible and incompressible flows

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