论文标题
微通道中电流流的无条件稳定性和误差估计值
Unconditional stability and error estimates of FEMs for the electro-osmotic flow in micro-channels
论文作者
论文摘要
在本文中，我们将提供微通道中电流流的有限元方法，其中为对流 - 扩散类型方程式提供了电荷密度$ρ^e $ $。设计了基于向后的Euler方法的时间二散方法。理论分析表明，数值算法是无条件稳定的，并且具有最佳的收敛速率。为了显示提出的模型的有效性，提供了T型微通道和粗糙微通道中电渗透流的一些数值结果。数值结果表明，所提出的数值方法适用于模拟电渗透流。
In this paper, we will provide the the finite element method for the electro-osmotic flow in micro-channels, in which a convection-diffusion type equation is given for the charge density $ρ^e$. A time-discrete method based on the backward Euler method is designed. The theoretical analysis shows that the numerical algorithm is unconditionally stable and has optimal convergence rates. To show the effectiveness of the proposed model, some numerical results for the electro-osmotic flow in the T-junction micro-channels and in rough micro-channels are provided. Numerical results indicate that the proposed numerical method is suitable for simulating electro-osmotic flows.
