Abstract

In this paper, we study plane unsteady problems of motion of a free boundary in a potential flow of an ideal incompressible fluid. A numerical algorithm for calculating the shape of the free boundary is constructed based on the boundary-element method. When deriving approximations, the boundary smoothness is taken into account. The main attention is paid to the problems of the formation of thin cumulative jets and wave breaking, as well as substantiation of the reliability of numerical calculations.

中文翻译：

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毛细管引力波的塌陷和累积射流的产生

摘要

在本文中，我们研究理想不可压缩流体的潜在流动中自由边界运动的平面非定常问题。基于边界元法，构造了计算自由边界形状的数值算法。推导近似值时，应考虑边界平滑度。主要关注的问题是薄的累积射流的形成和波浪破碎，以及证实数值计算的可靠性。