TY - JOUR T1 - Efficient and Unconditional Energy Stable Schemes for the Micropolar Navier-Stokes Equations AU - Shen , Jie AU - Zheng , Nan JO - CSIAM Transactions on Applied Mathematics VL - 1 SP - 57 EP - 81 PY - 2022 DA - 2022/03 SN - 3 DO - http://doi.org/10.4208/csiam-am.SO-2021-0008 UR - https://global-sci.org/intro/article_detail/csiam-am/20288.html KW - Micropolar Navier-Stokes, pressure-correction, scalar auxiliary variable, energy stability. AB -

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.