Computations of form and stability of rotating drops with finite elements
Computations of form and stability of rotating drops with finite elements
复制标题
DOI：
10.1093/imanum/dr1007
复制
发表时间：
2006-10-01
影响因子：
2.1
通讯作者：
Heine, Claus-Justus
中科院分区：
文献类型：
--
作者：
Heine, Claus-Justus
我们考虑的数值计算的平衡形状的旋转液滴和它们的分叉，取决于角速度。液滴仅受到离心力和表面张力的作用。我们提出了一个路径跟踪算法，这是基于连续制定牛顿迭代的离散化。我们的算法使用参数有限元，避免了人为的对称性假设。我们的数值实验结果扩展了Brown & Scriven（1980，The shape and stability of rotating liquid drops.程序R. Soc. Lond. Ser. A，371，331-357），并覆盖球形和环形的液滴。
We consider the numerical computation of equilibrium shapes of rotating drops and their bifurcations, depending on the angular velocity. The drops are subject to centrifugal forces and surface tension alone. We present a path-tracking algorithm which is based on the discretisation of a continuously formulated Newton's iteration. Our algorithm uses parametric finite elements and avoids artificial symmetry assumptions. The results of our numerical experiments extend those published by Brown & Scriven (1980, The shape and stability of rotating liquid drops. Proc. R. Soc. Lond. Ser. A, 371, 331-357) and cover drops of spheroidal as well as annular shape.