Abstract In this report, a pressure-correction projection scheme in rotational form for the unsteady incompressible magnetohydrodynamics(MHD) equations is given. This method uses the relations of the fluid velocity variable u, the magnetic field variable B and the electrical field variable E, the electrical field variable E were preserved. The theory analysis proves that the rotation form of the algorithm provides optimal error estimates in terms of the H1-norm of the velocity and of the L2-norm of the pressure. The numerical analysis shows that our method is stable and has an optimal convergence rate.

中文翻译：

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非定常不可压缩磁流体动力学方程的一种旋转压力修正投影方法

摘要 在这份报告中，给出了非定常不可压缩磁流体动力学（MHD）方程的旋转形式的压力校正投影方案。该方法利用了流体速度变量u、磁场变量B和电场变量E的关系，保留了电场变量E。理论分析证明，算法的旋转形式在速度的H1范数和压力的L2范数方面提供了最佳的误差估计。数值分析表明我们的方法是稳定的，并且具有最优的收敛速度。