Abstract: Smoothed particle hydrodynamics (SPH) is a Lagrange meshless method, which has been developed mature recently. The basic principle, kernel function, discretization of governing equations and boundary treatment were introduced. Based on the numerical flume model, the vertical two-dimensional dam break flow was simulated. The computational results were compared with the VOF results and experimental measurements. It shows that the SPH method can capture the fluid fragment and coalescence, and is available to simulate the mechanics problems with instantaneous very large deformation.

Key words: smoothed particle hydrodynamics, dam break, smooth kernel function, numerical simulation

摘要： 光滑离子流体动力学(SPH)法是一种纯拉格朗日(Lagrange)无网格方法，近年来发展日趋成熟。对SPH法的基本原理、核函数及控制方程离散格式、边界处理方法等进行了介绍。在此基础上建立了数值水槽模型，模拟了立面二维溃坝流动问题，并将所得结果与VOF法及模型试验得到的结果进行比较，结果表明：SPH法能够捕捉到流体的飞溅及融合现象，适于模拟具有瞬时极大变形等物理力学问题。

关键词: 光滑离子流体动力学, 溃坝, 光滑核函数, 数值模拟