Predictor-corrector algorithm for the numerical solution of the magnetic field equation in viscous incompressible MHD problems

被引：1
|
作者：
Betelin, V. B. [1 ]
Galkin, V. A. [2 ]
Gorelikov, A. V. [2 ]
机构：
[1] Russian Acad Sci, Sci Res Inst Syst Studies, Moscow 117218, Russia
[2] Surgut State Univ, Polytech Inst, Yugra 628412, Tyumen Oblast, Russia
来源：
DOKLADY MATHEMATICS | 2015年 / 92卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
Discrete Analogue; Magnetic Field Component; Nest Grid; Homogeneous Neumann Boundary Condition; Normal Magnetic Field;
D O I：
10.1134/S106456241505021X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An exact 3D viscous solution of the MHD equations that satisfies the slip conditions on the boundary of a parallelepiped is obtained. The efficiency of an iterative procedure relying on sequential splitting of the magnetic-field and hydrodynamic-flow computations via a detailed comparison of the resulting approximations with the exact solution of the problem is analyzed. The results of test computations on a sequence of nested grids suggest that the numerical method is second-order accurate in space.
引用
收藏
页码：618 / 621
页数：4
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