In this paper, a second order Gauge Uzawa scheme for the governing equations of an incompressible micropolar fluid flow is introduced and analyzed. The derivation of this scheme is obtained using the second order backward difference approximation. Later, the unconditional stability of the GUM scheme for the micropolar equations will be shown. Then, an a priori error estimate is established to prove the convergence. Finally, we present some numerical simulations that confirm the theoretical results.

中文翻译：

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不可测微极性流体流动的稳定量具Uzawa方案

本文介绍并分析了不可压缩微极性流体流控制方程的二阶Gauge Uzawa格式。该方案的推导是使用二阶后向差分近似获得的。稍后，将显示GUM方案对微极性方程的无条件稳定性。然后，建立先验误差估计以证明收敛性。最后，我们提出了一些数值模拟，证实了理论结果。