@Article{JCM-43-866,
author = {Dong , XiaojingHuang , Huayi and Huang , Yunqing},
title = {A First-Order, Semi-Implicit, and Unconditionally Energy-Stable Scheme for an Incompressible Ferrohydrodynamics Flow},
journal = {Journal of Computational Mathematics},
year = {2025},
volume = {43},
number = {4},
pages = {866--897},
abstract = {<p style="text-align: justify;">In this paper, we propose and analyze a first-order, semi-implicit, and unconditionally energy-stable scheme for an incompressible ferrohydrodynamics flow. We consider the constitutive equation describing the behavior of magnetic fluid provided by Shliomis, which consists of the Navier-Stokes equation, the magnetization equation, and the magnetostatics equation. By using an existing regularization method, we derive some prior estimates for the solutions. We then bring up a rigorous error analysis of the temporal semi-discretization scheme based on these prior estimates. Through a series of experiments, we verify the convergence and energy stability of the proposed scheme and simulate the behavior of ferrohydrodynamics flow in the background of practical applications.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2402-m2023-0181},
url = {http://global-sci.org/intro/article_detail/jcm/24264.html}
}