An improved incompressible SPH with unified semi-analytical wall boundary conditions for free surface flow

IF 2.3 3区工程技术 Q2 MECHANICS Acta Mechanica Pub Date : 2024-09-28 DOI:10.1007/s00707-024-04103-w

Jianwu Ruan, Lihua Wang, Yueting Zhou

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Abstract

An enhanced treatment of the free surface boundary in the incompressible smoothed particle hydrodynamics (ISPH) method using the unified semi-analytical wall (USAW) boundary is proposed in this work. The instability problem at the free surface caused by kernel truncation can be resolved by assuming some virtual particles around the surface. The pressure of the virtual particles is considered as zero to impose pressure boundary conditions on the free surface, while the pressure of free surface particles is set to be a tiny value to reduce particle accumulation. To further improve the stability, the non-penetration algorithm is employed on the USAW boundary to avoid particle penetration. Afterward, the ISPH method with the USAW boundary is utilized to simulate several free surface flow problems. The enhancement of stability as well as the accuracy of the simulations is validated firstly by the dam break tests and further studied through examples of solitary wave propagation and liquid sloshing. The numerical results are compared with available experiment data or results from other numerical methods, verifying that the improved ISPH model with the USAW boundary in this work is highly suitable for simulating free surface flow problems.

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采用统一半解析壁面边界条件的改进型不可压缩自由表面流 SPH

本研究提出了在不可压缩平滑粒子流体力学（ISPH）方法中使用统一半分析壁（USAW）边界对自由表面边界进行增强处理的方法。自由表面因核截断而产生的不稳定问题可以通过在表面周围假定一些虚拟粒子来解决。虚拟粒子的压力被认为是零，以在自由表面施加压力边界条件，而自由表面粒子的压力被设定为一个很小的值，以减少粒子的积累。为了进一步提高稳定性，在 USAW 边界上采用了非穿透算法，以避免粒子穿透。之后，利用带有 USAW 边界的 ISPH 方法模拟了多个自由表面流动问题。首先通过大坝破裂试验验证了模拟稳定性和准确性的提高，并通过孤波传播和液体荡流实例进一步研究了模拟结果。数值结果与现有实验数据或其他数值方法的结果进行了比较，验证了本研究中采用 USAW 边界的改进型 ISPH 模型非常适合模拟自由表面流问题。

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来源期刊

Acta Mechanica 物理-力学

CiteScore

4.30

自引率

14.80%

发文量

292

审稿时长

6.9 months

期刊介绍： Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.