A rotational velocity-correction projection method for unsteady incompressible magnetohydrodynamics equations

被引：14

作者：

Guan, Jixiang ^{[1
]}

Jing, Shujie ^{[1
]}

Si, Zhiyong ^{[1
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Henan, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2020年 / 80卷 / 05期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Unsteady incompressible MHD equations; Projection method; Velocity-correction method; Rotational form; FINITE-ELEMENT-METHOD; INSULATING REGIONS; APPROXIMATION; STATIONARY; TIME; CONVERGENCE; SCHEMES;

D O I：

10.1016/j.camwa.2020.04.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper provides a rotational velocity-correction projection method for the unsteady incompressible magnetohydrodynamics (MHD) equations. In this method, the electrical field variable E was eliminated. In this way, the Gauss's law can be conserved. The velocity variable u and the pressure field p are solved by a rotational velocity-correction projection method. The optimal error estimates of the L-2-norm will be given. Finally, we shall present some numerical results to confirm our analysis. It shows that our method is effective and can conserve the Gauss's Law very well. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页码：809 / 821

页数：13

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