@Article{CSIAM-AM-3-57,
author = {Shen , Jie and Zheng , Nan},
title = {Efficient and Unconditional Energy Stable Schemes for the Micropolar Navier-Stokes Equations},
journal = {CSIAM Transactions on Applied Mathematics},
year = {2022},
volume = {3},
number = {1},
pages = {57--81},
abstract = {<p style="text-align: justify;">We develop in this paper efficient numerical schemes for solving the micropolar Navier-Stokes equations by combining the SAV approach and pressure-correction
method. Our first- and second-order semi-discrete schemes enjoy remarkable properties such as (i) unconditional energy stability with a modified energy, and (ii) only a
sequence of decoupled linear equations with constant coefficients need to be solved at
each time step. We also construct fully discrete versions of these schemes with a special spectral discretization which preserve the essential properties of the semi-discrete
schemes. Numerical experiments are presented to validate the proposed schemes.</p>},
issn = {2708-0579},
doi = {https://doi.org/10.4208/csiam-am.SO-2021-0008},
url = {http://global-sci.org/intro/article_detail/csiam-am/20288.html}
}