  In this paper, the pressure correctionfinite element method is proposed for
the 2D/3D time-dependent thermomicropolarfluid equations. Thefirst-order and
second-order backward difference formulas (BDF) are adopted to approximate the
time derivative term, stability analysis and error estimation of the
first-order semi-discrete scheme are proved. Finally, some numerical examples
are given to show the effectiveness and reliability of the proposed method,
which can be used to simulate the problem with high Rayleigh number.
