Pressure‐correction projection methods for the time‐dependent micropolar fluids
Halimang Maimaiti, Demin Liu · International Journal for Numerical Methods in Fluids · 2021
Abstract The unsteady micropolar Navier–Stokes equations (MNSE) is a system which describes the evolution of an incompressible fluid whose material particles possess both translational and rotational degrees of freedom. In this article, both the first order and second order pressure‐correction (PC) projection method for the MNSE are proposed. The unconditionally stability analysis corresponding to the temporal semidiscrete version and the fully discrete version of the PC projection method are proved, and the first order error estimation for the temporal semidiscrete version is deduced. Some numerical simulation results are presented to show the effect of PC projection method.