@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 = {

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.

}, 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} }