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dc.contributor.authorWang, Zhiheng
dc.contributor.authorHuang, Zhu
dc.contributor.authorZhang, Wei
dc.contributor.authorXi, Guang
dc.date.accessioned2015-08-03T12:19:26Z
dc.date.available2015-08-03T12:19:26Z
dc.date.issued2014-12-10
dc.identifier.citationWang, Z. H., Huang, Z., Zhang, W., & Xi, G. (2014). A Meshless Local Radial Basis Function Method for Two-Dimensional Incompressible Navier-Stokes Equations. Numerical Heat Transfer, Part B: Fundamentals, 67(4), 320–337. doi:10.1080/10407790.2014.955779
dc.identifier.issn10407790
dc.identifier.doi10.1080/10407790.2014.955779
dc.identifier.urihttp://hdl.handle.net/10754/563916
dc.description.abstractA meshless local radial basis function method is developed for two-dimensional incompressible Navier-Stokes equations. The distributed nodes used to store the variables are obtained by the philosophy of an unstructured mesh, which results in two main advantages of the method. One is that the unstructured nodes generation in the computational domain is quite simple, without much concern about the mesh quality; the other is that the localization of the obtained collocations for the discretization of equations is performed conveniently with the supporting nodes. The algebraic system is solved by a semi-implicit pseudo-time method, in which the convective and source terms are explicitly marched by the Runge-Kutta method, and the diffusive terms are implicitly solved. The proposed method is validated by several benchmark problems, including natural convection in a square cavity, the lid-driven cavity flow, and the natural convection in a square cavity containing a circular cylinder, and very good agreement with the existing results are obtained.
dc.description.sponsorshipThe authors acknowledge financial support provided by the National Natural Science Foundation of China (Nos. 50976085, 51236006).
dc.publisherInforma UK Limited
dc.titleA meshless local radial basis function method for two-dimensional incompressible Navier-Stokes equations
dc.typeArticle
dc.contributor.departmentMechanical Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalNumerical Heat Transfer, Part B: Fundamentals
dc.contributor.institutionXi An Jiao Tong Univ, Dept Fluid Machinery & Engn, Sch Energy & Power Engn, Xian 710049, Shaanxi, Peoples R China
kaust.personZhang, Wei
dc.date.published-online2014-12-10
dc.date.published-print2015-04-03


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