Publication:
Higher-order bounded differencing schemes for compressible and incompressible flows

Simple item page
dc.citedby29
dc.contributor.authorNg K.C.en_US
dc.contributor.authorYusoff M.Z.en_US
dc.contributor.authorNg E.Y.K.en_US
dc.contributor.authorid55310814500en_US
dc.contributor.authorid7003976733en_US
dc.contributor.authorid7201647536en_US
dc.date.accessioned2023-12-28T08:57:40Z
dc.date.available2023-12-28T08:57:40Z
dc.date.issued2007
dc.description.abstractIn 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.en_US
dc.description.natureFinalen_US
dc.identifier.doi10.1002/fld.1248
dc.identifier.epage80
dc.identifier.issue1
dc.identifier.scopus2-s2.0-33845628627
dc.identifier.spage57
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-33845628627&doi=10.1002%2ffld.1248&partnerID=40&md5=e7fc9c931c5c33281f4fc87cac4d8163
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/29787
dc.identifier.volume53
dc.pagecount23
dc.sourceScopus
dc.sourcetitleInternational Journal for Numerical Methods in Fluids
dc.subjectBoundedness
dc.subjectHigh-resolution scheme
dc.subjectNormalized variable formulation
dc.subjectQUICK
dc.subjectSIMPLE
dc.subjectTime-marching method
dc.subjectCompressible flow
dc.subjectComputational fluid dynamics
dc.subjectConvergence of numerical methods
dc.subjectCosts
dc.subjectIncompressible flow
dc.subjectIterative methods
dc.subjectTransonic flow
dc.subjectCompressible flow
dc.subjectConvergence of numerical methods
dc.subjectCosts
dc.subjectIncompressible flow
dc.subjectIterative methods
dc.subjectTransonic flow
dc.subjectHigh-order bounded differencing scheme
dc.subjectNormalized variable formulation
dc.subjectComputational fluid dynamics
dc.titleHigher-order bounded differencing schemes for compressible and incompressible flowsen_US
dc.typeArticleen_US
dspace.entity.typePublication
Files
Collections
SCOPUS