The surface evolver and the stability of liquid surfaces
The surface evolver and the stability of liquid surfaces
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DOI：
10.1098/rsta.1996.0095
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发表时间：
1996-09-16
期刊：
影响因子：
5
通讯作者：
Brakke, KA
中科院分区：
文献类型：
--
作者：
Brakke, KA
Surface Evolver是一个用于研究液体表面形状的交互式程序。最近增加的功能允许计算的Hessian矩阵的二阶导数的能量。Hessian可以用于快速收敛到平衡点，以及平衡点稳定性的特征值分析。本文介绍了使用海森的表面进化，提出了一些样本的稳定性分析，并给出了一些数值结果的精度和收敛性的方法。它也显示了如何可以发展不稳定的表面。
The Surface Evolver is an interactive program for studying the shapes of liquid surfaces. Recently added features permit the calculation of the Hessian matrix of second derivatives of the energy. The Hessian can be used for fast convergence to an equilibrium, and eigenvalue analysis of the stability of that equilibrium. This paper describes the use of the Hessian by the Surface Evolver, presents some sample stability analyses, and gives some numerical results on the accuracy and convergence of the methods. It is also shown how one can evolve unstable surfaces.