TY - JOUR
T1 - Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model
AU - Zhang , Guo-Dong
AU - Yang , Xiaofeng
JO - Communications in Computational Physics
VL - 3
SP - 771
EP - 798
PY - 2021
DA - 2021/07
SN - 30
DO - http://doi.org/10.4208/cicp.OA-2020-0113
UR - https://global-sci.org/intro/article_detail/cicp/19311.html
KW - Potential MHD, linear, decoupled, energy stability, second-order, projection method.
AB - <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>