Numerical Analysis of an Artificial Compression Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers
Numerical Analysis of an Artificial Compression Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers
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DOI：
10.1007/s10915-018-0670-5
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发表时间：
2018-03
影响因子：
2.5
通讯作者：
Y. Rong;W. Layton;Haiyun Zhao
中科院分区：
文献类型：
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作者：
Y. Rong;W. Layton;Haiyun Zhao
磁流体动力学（MHD）是研究在磁场存在下导电流体的相互作用。磁流体动力学应用需要比目前更有效的数值方法。本文针对低磁雷诺数下的磁流体动力学流动，建立了基于人工压缩法（压力和速度解耦）和分区法（速度和电势解耦）的两种解耦方法。我们研究的方法允许我们在每个时间步解决线性问题，解耦的物理过程，每个时间步，这可以大大提高计算效率。本文给出了稳定性和误差分析，对产生的非物理声波进行了简要分析，并提供了计算测试来支持理论。
Magnetohydrodynamics (MHD) is the study of the interaction of electrically conducting fluids in the presence of magnetic fields. MHD applications require substantially more efficient numerical methods than currently exist. In this paper, we construct two decoupled methods based on the artificial compression method (uncoupling the pressure and velocity) and partitioned method (uncoupling the velocity and electric potential) for magnetohydrodynamics flows at low magnetic Reynolds numbers. The methods we study allow us at each time step to solve linear problems, uncoupled by physical processes, per time step, which can greatly improve the computational efficiency. This paper gives the stability and error analysis, presents a brief analysis of the non-physical acoustic waves generated, and provides computational tests to support the theory.