Finite-amplitude free-surface flow in a wedge container is investigated analytically. We study a motionless standing wave of pure potential-flow acceleration with maximal amplitude where its right-angle surface peak falls from rest. The nonlinear free-surface conditions are satisfied by a family of flows where the chosen initial acceleration field is governed by one single dipole plus its three image dipoles. Streamlines and isobars are plotted, with the free surface as the zero-pressure isobar. The key geometric parameters are tabulated for each case, supplied with force calculations for an upright wedge container. The present approach is assessed against established eigenfunctions for linearized standing waves in a wedge container. The present dipole flows constitute a much richer family of peaked free sloshing shapes than the classical Fourier modes of free oscillation.

中文翻译：

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楔形容器中的峰值晃动

分析研究了楔形容器中的有限振幅自由表面流。我们研究了具有最大振幅的纯势流加速度的静止驻波，其直角表面峰值从静止状态下降。非线性自由表面条件由一系列流动来满足，其中选定的初始加速度场由一个单偶极子加上它的三个图像偶极子控制。绘制了流线和等压线，其中自由表面作为零压力等压线。每种情况的关键几何参数都列出了表格，并提供了直立楔形容器的力计算。本方法是针对楔形容器中线性驻波的既定特征函数进行评估的。