Electrohydrodynamics is a discipline that studies the interaction between fluid motion and electric field. Finite element method, finite difference method and other numerical simulations are effective numerical calculation methods for electrofluid dynamics models. In this paper, the finite element format of the electrofluid dynamics model is established, and the second-order convergence accuracy of the format is achieved through time filtering method. Finally, a numerical example is given to verify the convergence.

翻译：电水动力学是研究流体运动与电场相互作用的一门学科。有限元法、有限差分法及其他数值模拟方法是电流体动力学模型的有效数值计算方法。本文建立了电流体动力学模型的有限元格式，并通过时间滤波方法实现了该格式的二阶收敛精度。最后，给出数值算例验证了收敛性。