论文标题
能量稳定的有限元方案，用于模拟非均匀表面上的液滴的流动动力学
Energy stable finite element scheme for simulating flow dynamics of droplets on non-homogeneous surfaces
论文作者
论文摘要
在任意Lagrangian Eulerian（ALE）框架内的能量稳定的有限元方案是用于模拟与实心表面接触的毫米液滴的动力学的。所考虑的支撑表面可能表现出非均匀的特性，这些特性通过通用的Navier边界条件（GNBC）纳入系统。构建了数值方案，以使（连续）能量平衡的对应率保持在离散级别。这样可以确保没有伪能被引入离散系统中，即离散配方在能量规范中是稳定的。新提出的方案经过数值验证，以确认理论预测。特别关注的是在非均匀倾斜表面上液滴的情况。此情况显示了该方案在长期模拟中保持稳定性的同时捕获复杂液滴动力学（滑动和滚动）的能力。
An energy stable finite element scheme within arbitrary Lagrangian Eulerian (ALE) framework is derived for simulating the dynamics of millimetric droplets in contact with solid surfaces. Supporting surfaces considered may exhibit non--homogeneous properties which are incorporated into system through generalized Navier boundary conditions (GNBC). Numerical scheme is constructed such that the counterpart of (continuous) energy balance holds on the discrete level. This ensures that no spurious energy is introduced into the discrete system, i.e. the discrete formulation is stable in the energy norm. The newly proposed scheme is numerically validated to confirm the theoretical predictions. Of a particular interest is the case of droplet on a non-homogeneous inclined surface. This case shows the capabilities of the scheme to capture the complex droplet dynamics (sliding and rolling) while maintaining stability during the long time simulation.
