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SPH(Smoothed Particle Hydrodynamics)方法和MPS(Moving Particle Semi-Implicit)方法是两种常用的无网格粒子法,在处理自由面大变形问题方面有较大的灵活性,然而这两种方法在数值格式、计算效率和收敛性等方面有许多不同之处。本文以二维溃坝问题为例对SPH方法和MPS方法进行了比较分析,结果表明:SPH方法易于给出更为清晰、光滑的自由面形状,而MPS方法给出的粒子分布较为凌乱;在收敛性上,随着初始粒子间距的减小,SPH和MPS均趋于收敛,但MPS方法收敛得更快些;对于时间步长,在满足CFL条件且计算稳定的情况下,对结果影响不是很大;在计算效率上,SPH方法具有较高的效率,适合求解大型复杂流动问题,而MPS方法计算量较大。通过对SPH方法和MPS方法的比较分析,为具体问题计算选用不同的无网格粒子方法提供了选择依据。
The Smoothed Particle Hydrodynamics (SPH) method and the Moving Particle Semi-Implicit (MPS) method are two commonly used meshless particle methods. They have great flexibility in dealing with the large free surface deformation problem. However, Format, computational efficiency and convergence, there are many differences. In this paper, the two-dimensional dam-break problem is taken as an example to compare the SPH method and the MPS method. The results show that the SPH method can give a clearer and smoother free surface shape, while the MPS method gives a more messy particle distribution. As for the convergence, the SPH and MPS tend to converge as the initial particle spacing decreases, but the MPS method converges more quickly. For the time step, if the CFL condition is satisfied and the calculation is stable, the effect on the result is not In the computational efficiency, the SPH method has high efficiency and is suitable for solving large and complex flow problems, while the MPS method is computationally intensive. Through comparative analysis of SPH method and MPS method, it provides a basis for selection of different meshless particle methods for calculation of specific problems.