A Partitioned Second-Order Method for Magnetohydrodynamic Flows at Small Magnetic Reynolds Numbers

被引：9

作者：

Rong, Yao ^{[1
]}

Hou, Yanren ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Dept Comp Sci, Xian 710049, Shaanxi, Peoples R China

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2017年 / 33卷 / 06期

关键词：

partitioned method; error analysis; finite element method; magnetohydrodynamics; NUMERICAL-ANALYSIS; FINITE-ELEMENT; MHD; STABILITY;

D O I：

10.1002/num.22174

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article aims to study the partitioned method for magnetohydrodynamic flows at small magnetic Reynolds numbers. We design a partitioned second-order method and show that this method is stable under a time step (Delta t) restrict condition. Our method can decouple the magnetohydrodynamic equations so that we can solve two relatively simple subproblems separately at each time step, which is computationally economic. A complete theoretical analysis of error estimates is also given. Finally, we present numerical experiments to support our theory. (c) 2017 Wiley Periodicals, Inc.

引用

页码：1966 / 1986

页数：21

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