Simulation of linear and nonlinear advection-diffusion problems by the direct radial basis function collocation method

被引：12

作者：

Zhang, Juan ^{[1
,2
]}

Wang, Fuzhang ^{[3
]}

Nadeem, Sohail ^{[4
]}

Sun, Mei ^{[5
]}

机构：

[1] China Univ Min & Technol, Sch Informat & Control Engn, Xuzhou 221116, Jiangsu, Peoples R China

[2] Guangdong ATV Vocat Coll Performing Arts, Dongguan 523710, Peoples R China

[3] Nanchang Inst Technol, Nanchang 330044, Jiangxi, Peoples R China

[4] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan

[5] Huaibei Normal Univ, Coll Comp Sci & Technol, Huaibei 235000, Peoples R China

来源：

INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER | 2022年 / 130卷

关键词：

Advection-diffusion equation; Multiquadric; Collocation method; Meshless; Nonlinear problems; KANSA RBF METHOD;

D O I：

10.1016/j.icheatmasstransfer.2021.105775

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

A simple direct radial basis function collocation method is proposed for the advection-diffusion equations. First, a new scheme of multiquadric radial basis function (RBF) is proposed. Then, the newly-proposed radial basis function can be directly used to deal with the time variable as well as space variables encountered in the advection-diffusion equations. This is realized by considering conventional time steps as collocation points. Numerical results for several advection-diffusion equations with different values of Pe ' clet numbers show that the direct radial basis function collocation method performs well for both linear and nonlinear cases.

引用

页数：6

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