A high-order CESE scheme with a new divergence-free method for MHD numerical simulation

被引：16
|
作者：
Yang, Yun [1 ,2 ]
Feng, Xue-Shang [1 ]
Jiang, Chao-Wei [1 ,3 ]
机构：
[1] NSSC, State Key Lab Space Weather, SIGMA Weather Grp, Beijing, Peoples R China
[2] Univ Chinese Acad Sci, Beijing, Peoples R China
[3] Harbin Inst Technol, Inst Space Sci & Appl Technol, Shenzhen, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2017年 / 349卷
基金：
中国国家自然科学基金;
关键词：
High-order CESE; MHD; Magnetic field divergence-free; Least-squares method; CONSTRAINED TRANSPORT METHOD; ADAPTIVE MESH REFINEMENT; MAGNETOHYDRODYNAMIC FLOWS; IDEAL MAGNETOHYDRODYNAMICS; CONSERVATION-ELEMENT; EQUATIONS; EULER;
D O I：
10.1016/j.jcp.2017.08.019
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we give a high-order space-time conservation element and solution element (CESE) method with a most compact stencil for magneto-hydrodynamics (MHD) equations. This is the first study to extend the second-order CESE scheme to a high order for MHD equations. In the CESE method, the conservative variables and their spatial derivatives are regarded as the independent marching quantities, making the CESE method significantly different from the finite difference method (FDM) and finite volume method (FVM). To utilize the characteristics of the CESE method to the maximum extent possible, our proposed method based on the least-squares method fundamentally keeps the magnetic field divergence-free. The results of some test examples indicate that this new method is very efficient. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：561 / 581
页数：21
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