变光滑长度SPH方法在入水冲击中的应用研究

Application of SPH method with space-based variable smoothing length to water entry simulation

计算效率低一直以来都是SPH方法(光滑粒子流体动力学方法)发展过程中面临的技术难题,而变光滑长度SPH方法既可以提高粒子非均匀分布时核函数计算精度,又能保证邻近粒子相互作用的对称匹配,因此对提高计算效率十分有益。本文采用空间变光滑长度SPH方法,并提出了一种新型的高效、高鲁棒性搜索方法,即平衡型树形搜索法(balanced alternative digital tree search algorithm,B-ADT),开展了二维楔形体入水冲击问题的应用研究,模拟结果显示文中所采用的空间变光滑长度SPH方法和平衡型树形搜索法,在保证计算精度的情况下,可以有效提高计算效率,这为下一步开展复杂工程应用打下重要基础。

Low computational efficiency is a common problem for typical smoothed particle hydrodynamics method(SPH), yet the SPH method with space-based variable smoothing length could improve both the computational efficiency and space resolution. In this paper, a variable smoothing length SPH method is proposed to solve wedge impact problems, and also a new efficient and robust neighbor search method named balanced alternative digital tree search algorithm(B-ADT) is developed. The results show that, by using space variable smoothing length algorithm, computational cost can be greatly reduced, which is significant for further engineering applications.