@Article{CiCP-30-3,
author = {Zhang, Guo-Dong and Yang, Xiaofeng},
title = {Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model},
journal = {Communications in Computational Physics},
year = {2021},
volume = {30},
number = {3},
pages = {771--798},
abstract = {<p style="text-align: justify;">In this paper, we consider the numerical approximations of a magnetohy-drodynamic potential model that was developed in [15]. Several decoupled, linear, unconditionally 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 preserved in the fully-discrete level. We further establish the well-posedness and unconditional 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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2020-0113},
url = {https://global-sci.com/article/79584/efficient-and-stable-schemes-for-the-magnetohydrodynamic-potential-model}
}