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

被引：1

作者：

Sun, Ting ^{[1
]}

Li, Jingwei ^{[1
]}

Zhao, Jianping ^{[1
]}

Feng, Xinlong ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, 14 Shangli Rd, Urumqi 830046, Peoples R China

来源：

NUMERICAL HEAT TRANSFER PART A-APPLICATIONS | 2019年 / 75卷 / 11期

关键词：

IMMERSED INTERFACE METHOD; NATURAL-CONVECTION PROBLEM; PETROV-GALERKIN METHOD; FINITE-ELEMENT-METHOD; DISCONTINUOUS COEFFICIENTS; ELLIPTIC-EQUATIONS; PROBLEMS BASE; FLOW; DISCRETIZATION;

D O I：

10.1080/10407782.2019.1608766

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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.

引用

页码：739 / 752

页数：14

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