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 - <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>