@Article{AAMM-16-1519,
author = {Bi , Xiaowei and Liu , Demin},
title = {Semi-Discrete Predictor-Multicorrector FEM Algorithms for the 2D/3D Unsteady Incompressible Micropolar Fluid Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2024},
volume = {16},
number = {6},
pages = {1519--1548},
abstract = {<p style="text-align: justify;">In this paper, the first-order and second-order semi-discrete predictor-multicorrector (PMC) algorithms to solve the 2D/3D unsteady incompressible micropolar fluid equations (IMNSE) are proposed. In the algorithms, the first-order and
second-order BDF formulas are adopted to approximate the time derivative terms. At
each time step, two elliptical sub-problems with Dirichlet conditions are solved at the
prediction step, the strategy of projection about linear momentum equation with additional viscosity term and the elliptical sub-problems about angular momentum are
solved at the multicorrection step. Furthermore, the unconditional stability and error
estimates of the first-order scheme are proved theoretically. Numerical experiments
are carried out to show the effectiveness of the algorithms.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2022-0256},
url = {http://global-sci.org/intro/article_detail/aamm/23477.html}
}