SPH方法和MPS方法模拟溃坝问题的比较分析

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.     

用MPS方法数值模拟低充水液舱的晃荡

液体晃荡是一种非线性的自由面流动现象.在低充水率下,由于液体具有很大的运动空间,晃荡现象具有强烈的非线性特征,自由面的变形较大,剧烈时甚至会翻卷和破碎,这给数值模拟带来很大挑战.本文基于移动粒子半隐式法(Moving Particle Semi-Implicit,MPS)对低充水率的液舱晃荡问题进行了数值模拟.结果表明:当激励频率等于共振频率时,液体撞击到了液舱的顶板,并出现了飞溅现象,此时液体对侧舱壁产生了较大的抨击压力;在低于共振频率时,自由面出现了破碎波及波前的翻卷和融合等现象,抨击压力相对较小.计算结果表明,MPS方法能够很好地预测晃荡引起的拍击现象,数值计算得到的压力能够与实验结果很好地吻合.在自由面的追踪上,MPS方法具有很大的灵活性,能够很好地处理自由面的破碎、融合及液体的飞溅等流动现象.     

Comparative study of MPS method and level-set method for sloshing flows

This paper presents a comparative study of a meshless level-set method in the simulation of sloshing flows. The numerical moving particle semi-implicit （MPS） method and a grid based schemes of the MPS and level-set methods are outlined and two violent sloshing cases are considered. The computed results are compared with the corresponding experimental data for validation. The impact pressure and the deformations of free surface induced by sloshing are comparatively analyzed, and are in good agreement with experimental ones. Results show that both the MPS and level-set methods are good tools for simulation of violent sloshing flows. However, the second pressure peaks as well as breaking and splashing of free surface by the MPS method are captured better than by the level-set method.