Exponential Asymptotics and Capillary Waves
Exponential Asymptotics and Capillary Waves
复制标题
指数渐进和毛细波
DOI：
--
复制
发表时间：
2002
影响因子：
1.9
通讯作者：
J. Vanden
中科院分区：
文献类型：
--
作者：
S. Chapman;J. Vanden
Recently developed techniques in exponential asymptotics beyond all orders are employed on the problem of potential flows with a free surface and small surface tension, in the absence of gravity. Exponentially small capillary waves are found to be generated on the free surface where the equipotentials from singularities in the flow (for example, stagnation points and corners) meet it. The amplitude of these waves is determined, and the implications are considered for many quite general flows. The asymptotic results are compared to numerical simulations of the full problem for flow over a polygonal plough and for flow round a right-angled corner, and they show remarkably good agreement, even for quite large values of the surface tension parameter.
