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本文研究数值模拟含有自由表面的三维非定常流动的表面波动情况。运用部分单元法（partial－celltreatment）的概念成功地处理了各种复杂形状的边界以及复杂的边界条件和流场内部的障碍物，运用VOF（volumeoffluid）方法追踪自由液面。介绍了部分单元法的概念和VOF方法的主要原理，开发了容器中液面非剧烈波动的三维数值模拟程序，并提供了若干个典型工程流动液面波动模型的计算讨论。
In this paper, we study the numerical simulation of the surface undulation of three-dimensional unsteady flow with free surface. The concept of partial-cell treatment successfully deals with the boundaries of complex shapes and complex boundary conditions and obstacles inside the flow field. The VOF (volumeoffluid) method is used to track the free surface. The concept of partial element method and the principle of VOF method are introduced. A three-dimensional numerical simulation program of non-violent fluctuation of liquid level in container is developed. Several typical calculation models of liquid level fluctuation in engineering are provided.