UM  > Faculty of Science and Technology
Residential Collegefalse
Status已發表Published
A novel stabilized Galerkin meshless method for steady incompressible Navier–Stokes equations
Hu, Guanghui1; Li, Ruo2; Zhang, Xiaohua3,4
2021-12-01
Source PublicationENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
ISSN0955-7997
Volume133Pages:95-106
Abstract

In the paper, a novel stabilized meshless method is presented for solving steady incompressible fluid flow problems. For this method, the standard Galerkin discretization is used to momentum equations, where the variational multiscale method is applied to mass conservation equation. Thus, the novel stabilized method can be regarded as a simplification of the variational multiscale element free Galerkin method, but it still retains the advantages of the variational multiscale element free Galerkin method. The present method allows equal linear basis approximation of both velocity and pressure and avoids the Ladyzhenskaya–Babuška–Breezi(LBB) condition. Meanwhile, it can automatically obtain the stabilization tensor. Three Stokes flow and two Navier–Stokes flow problems are applied to validate the accuracy and feasibility of the present method. It is shown that the present stabilized meshless method can guarantee the numerical stability and accuracy for incompressible fluid flow problems. Moreover, it can save computational cost evidently compared with variational multiscale element free Galerkin method.

KeywordGalerkin Meshless Method Variational Multiscale Method Incompressible Navier–stokes Equations Stabilized Method
DOI10.1016/j.enganabound.2021.08.017
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaEngineering ; Mathematics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000696645600008
Scopus ID2-s2.0-85114379427
Fulltext Access
Citation statistics
Document TypeJournal article
CollectionFaculty of Science and Technology
Corresponding AuthorZhang, Xiaohua
Affiliation1.Faculty of Science and Technology, University of Macau, 999078, Macau
2.School of Mathematical Science, Peking University, Beijing, 100871, China
3.Hubei International Science and Technology Cooperation Base of Fish Passage, China Three Gorges University, Yichang, 443002, China
4.College of Science and Three Gorges Math Research Center, China Three Gorges University, Yichang, 443002, China
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Hu, Guanghui,Li, Ruo,Zhang, Xiaohua. A novel stabilized Galerkin meshless method for steady incompressible Navier–Stokes equations[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2021, 133, 95-106.
APA Hu, Guanghui., Li, Ruo., & Zhang, Xiaohua (2021). A novel stabilized Galerkin meshless method for steady incompressible Navier–Stokes equations. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 133, 95-106.
MLA Hu, Guanghui,et al."A novel stabilized Galerkin meshless method for steady incompressible Navier–Stokes equations".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 133(2021):95-106.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Hu, Guanghui]'s Articles
[Li, Ruo]'s Articles
[Zhang, Xiaohua]'s Articles
Baidu academic
Similar articles in Baidu academic
[Hu, Guanghui]'s Articles
[Li, Ruo]'s Articles
[Zhang, Xiaohua]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Hu, Guanghui]'s Articles
[Li, Ruo]'s Articles
[Zhang, Xiaohua]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.