Numerical analysis of two partitioned methods for uncoupling evolutionary MHD flows
Numerical analysis of two partitioned methods for uncoupling evolutionary MHD flows
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DOI：
10.1002/num.21857
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发表时间：
2014-07
影响因子：
3.9
通讯作者：
W. Layton;H. Tran;C. Trenchea
中科院分区：
文献类型：
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作者：
W. Layton;H. Tran;C. Trenchea
磁流体动力学（Magnetohydrodynamics，MHD）研究导电流体的动力学，涉及流体力学中的Navier-Stokes（NSE）方程和电磁学中的麦克斯韦方程。流体流动和电磁的物理过程是完全不同的，每个子过程的数值模拟可能需要不同的网格，时间步长和方法。在大多数地面应用中，MHD流发生在低磁流体数下。我们介绍了两种分区方法来解决这种情况下的发展MHD方程。我们研究的方法允许我们在每个时间步分别调用NSE和麦克斯韦代码，每个代码都可能针对子问题的相应物理进行优化。给出了支持该理论的完整误差分析和计算测试。版权所有© 2014 Wiley Periodicals，Inc. Numer Methods Partial Differential Eq 30：1083-1102，2014
Magnetohydrodynamics (MHD) studies the dynamics of electrically conducting fluids, involving Navier–Stokes (NSE) equations in fluid dynamics and Maxwell equations in eletromagnetism. The physical processes of fluid flows and electricity and magnetism are quite different and numerical simulations of each subprocess can require different meshes, time steps, and methods. In most terrestrial applications, MHD flows occur at low‐magnetic Reynold numbers. We introduce two partitioned methods to solve evolutionary MHD equations in such cases. The methods we study allow us at each time step to call NSE and Maxwell codes separately, each possibly optimized for the subproblem's respective physics. Complete error analysis and computational tests supporting the theory are given.Copyright © 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 1083–1102, 2014