Efficient splitting schemes for magneto-hydrodynamic equations
Efficient splitting schemes for magneto-hydrodynamic equations
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DOI：
10.1007/s11425-016-0280-5
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发表时间：
2016-06
期刊：
影响因子：
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通讯作者：
H. Choi;Jie Shen
中科院分区：
文献类型：
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作者：
H. Choi;Jie Shen
本文提出了几种求解磁流体动力学方程的有效数值格式。这些半离散（在时间上）计划是基于标准和旋转的Navier-Stokes方程的压力校正计划，不涉及磁场的投影步骤。我们证明了这些方案是无条件能量稳定的，提出了一个有效的算法，其完全离散的版本，并进行了演示性的数值实验。
We present in this paper several efficient numerical schemes for the magneto-hydrodynamic (MHD) equations. These semi-discretized (in time) schemes are based on the standard and rotational pressure-correction schemes for the Navier-Stokes equations and do not involve a projection step for the magnetic field. We show that these schemes are unconditionally energy stable, present an effective algorithm for their fully discrete versions and carry out demonstrative numerical experiments.