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
旋转液滴的形状和稳定性的有限元计算
DOI：
10.1093/imanum/drl007
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发表时间：
2006
影响因子：
2.1
通讯作者：
C. Heine
中科院分区：
文献类型：
--
作者：
C. Heine
我们考虑旋转液滴的平衡形状及其分叉的数值计算，它依赖于角速度。液滴仅受离心力和表面张力的影响。提出了一种基于连续牛顿迭代离散化的路径跟踪算法。我们的算法使用了参数有限元，避免了人为的对称假设。我们的数值实验结果推广了Brown&Scriven(1980)发表的旋转液滴的形状和稳定性的结果。程序R.Soc.土地。先生。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. Land. Ser. A, 371, 331- 357) and cover drops of spheroidal as well as annular shape.