This paper provides a rotational velocity-correction projection method for the unsteady incompressible magnetohydrodynamics (MHD) equations. In this method, the electrical field variable $E$ was eliminated. In this way, the Gauss’s law can be conserved. The velocity variable $u$ and the pressure field $p$ are solved by a rotational velocity-correction projection method. The optimal error estimates of the $L^2$-norm will be given. Finally, we shall present some numerical results to confirm our analysis. It shows that our method is effective and can conserve the Gauss’s Law very well.

中文翻译：

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非定常不可压缩磁流体动力学方程的转速校正投影方法

本文为非稳态不可压缩磁流体动力学（MHD）方程提供了一种转速校正投影方法。在这种方法中，电场变量$Ë$被淘汰了。这样，高斯定律可以得到守恒。速度变量$ü$ 和压力场 $p$通过旋转速度校正投影法求解。最优误差估计${\mathrm{大号}}^2$-将给出规范。最后，我们将提供一些数值结果来确认我们的分析。这表明我们的方法是有效的，并且可以很好地保持高斯定律。