论文标题
流体可变形表面的数值方法
A numerical approach for fluid deformable surfaces
论文作者
论文摘要
流体可变形表面显示出固体二元双重性，该双重性在切向流动和表面变形之间建立了紧密的相互作用。我们将管理方程式得出作为薄膜极限，并为其解决方案提供了一般的数值方法。模拟结果证明了该相互作用产生的丰富动力学，在曲率存在下，任何形状变化都伴随着切向流动，反之亦然，由于切向流动而导致表面变形。但是，他们还表明，在考虑的设置中，唯一可能的稳定固定状态是一个速度为零的球体。
Fluid deformable surfaces show a solid-fluid duality which establishes a tight interplay between tangential flow and surface deformation. We derive the governing equations as a thin film limit and provide a general numerical approach for their solution. The simulation results demonstrate the rich dynamics resulting from this interplay, where in the presence of curvature any shape change is accompanied by a tangential flow and, vice versa, the surface deforms due to tangential flow. However, they also show that the only possible stable stationary state in the considered setting is a sphere with zero velocity.
