Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model
Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model
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DOI：
10.4208/cicp.oa-2020-0113
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发表时间：
2021-06
影响因子：
3.7
通讯作者：
global sci
中科院分区：
文献类型：
--
作者：
global sci
.本文考虑文献[15]中提出的磁流体动力势模型的数值近似。通过对非线性耦合项的隐式-显式处理和Navier-Stokes方程的投影型方法相结合，发展了几种解耦的、线性的、无条件能量稳定的格式。在完全离散的水平上，磁场的无发散条件被保留。我们进一步建立了所提出的格式的适定性和不协调能量稳定性，并给出了一系列三维数值算例，包括精度/稳定性测试，驱动腔湍流和磁流体Kelvin-Helmholtz不稳定性的基准模拟.
. In this paper, we consider the numerical approximations of a magnetohy-drodynamic potential model that was developed in [15]. Several decoupled, linear, un-conditionally energy stable schemes are developed by combining some subtle implicit-explicit treatments for nonlinear coupling terms and the projection-type method for the Navier-Stokes equations. The divergence-free condition for the magnetic field is pre-served in the fully-discrete level. We further establish the well-posedness and uncon-ditional energy stabilities of the proposed schemes and present a series of numerical examples in 3D, including accuracy/stability tests, benchmark simulations of driven cavity flow and hydromagnetic Kelvin-Helmholtz instability.