A meshless local radial basis function method for two-dimensional incompressible Navier-Stokes equations

Handle URI:
http://hdl.handle.net/10754/563916
Title:
A meshless local radial basis function method for two-dimensional incompressible Navier-Stokes equations
Authors:
Wang, Zhiheng; Huang, Zhu; Zhang, Wei ( 0000-0001-6323-1234 ) ; Xi, Guang
Abstract:
A 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.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program
Publisher:
Informa UK Limited
Journal:
Numerical Heat Transfer, Part B: Fundamentals
Issue Date:
10-Dec-2014
DOI:
10.1080/10407790.2014.955779
Type:
Article
ISSN:
10407790
Sponsors:
The authors acknowledge financial support provided by the National Natural Science Foundation of China (Nos. 50976085, 51236006).
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorWang, Zhihengen
dc.contributor.authorHuang, Zhuen
dc.contributor.authorZhang, Weien
dc.contributor.authorXi, Guangen
dc.date.accessioned2015-08-03T12:19:26Zen
dc.date.available2015-08-03T12:19:26Zen
dc.date.issued2014-12-10en
dc.identifier.issn10407790en
dc.identifier.doi10.1080/10407790.2014.955779en
dc.identifier.urihttp://hdl.handle.net/10754/563916en
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.en
dc.description.sponsorshipThe authors acknowledge financial support provided by the National Natural Science Foundation of China (Nos. 50976085, 51236006).en
dc.publisherInforma UK Limiteden
dc.titleA meshless local radial basis function method for two-dimensional incompressible Navier-Stokes equationsen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentMechanical Engineering Programen
dc.identifier.journalNumerical Heat Transfer, Part B: Fundamentalsen
dc.contributor.institutionXi An Jiao Tong Univ, Dept Fluid Machinery & Engn, Sch Energy & Power Engn, Xian 710049, Shaanxi, Peoples R Chinaen
kaust.authorZhang, Weien
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