Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 75, 2019 - Issue 11
112
Views
0
CrossRef citations to date
0
Altmetric
Articles

Least-squares RBF-FD method for the incompressible Stokes equations with the singular source

, , &
Pages 739-752 | Received 25 Jan 2019, Accepted 11 Apr 2019, Published online: 10 Jun 2019
 

Abstract

In this article, we propose the least-squares RBF-FD method for the incompressible Stokes equations with the singular source along the interface. First, we apply Green’s formula to derive interface conditions, then by employing the RBF-FD method to directly discretize the spatial operators, a least-squares system about the incompressible Stokes equations with interface conditions is constructed. The discrete least-squares system is derived by introducing the weight coefficient. We obtain the error bound of discrete least-squares system using the RBF interpolant theorem. Some numerical examples are provided to show the convergency and efficiency of the least-squares RBF-FD method for the incompressible Stokes equations with the singular source.

Acknowledgments

The authors would like to thank the editor and referees for their valuable comments and suggestions which helped us to improve the results of this paper.

Additional information

Funding

This work is in parts supported by the NSF of Xinjiang Province (No. 2016D01C058), the Research Fund from Key Laboratory of Xinjiang Province (No. 2017D04030), the Xinjiang Provincial University Research Foundation of China (No. XJEDU2018I002), and the NSF of China (No. 11671345).

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.