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中文核心期刊

基于改进粒子移位技术的SPH与自由表面流模拟

Simulation of Free-Surface Flows Using SPH with an Improved Particle Shifting Technology

  • 摘要: 在光滑粒子流体动力学(Smoothed Particle Hydrodynamics, SPH)的数值模拟中,常采用粒子位移技术(Particle Shifting Technology, PST)来改善粒子分布不均匀和负压引起的拉伸不稳定问题,但是目前广泛采用的几种PST改进方案存在计算困难和界面不光滑等问题。文章在弱可压缩SPH的框架内,提出了一种改进的粒子位移技术(NPST),该方法在解决自由表面附近非物理间隙问题的同时,通过控制自由表面粒子对自由表面附近粒子的影响来补全自由表面的缺失,从而解决自由表面不规则问题。通过对数值造波、方形液滴旋转、液滴振荡三个经典自由表面流问题进行数值模拟,验证了NPST的稳定性和有效性,并将数值模拟结果与Wang等人提出的IPST的模拟结果进行对比分析。结果表明,这种改进的粒子位移技术在低分辨率下能够有效解决自由表面附近粒子分布不均匀的问题,从而提升计算精度,且算法简单更易于实现。

     

    Abstract: In numerical simulations using Smoothed Particle Hydrodynamics (SPH), the Particle Shifting Technology (PST) is commonly employed to alleviate issues related to particle disorder and tensile instability caused by negative pressures. However, several widely adopted PST improvement schemes still suffer from computational difficulties and produce non-smooth interfaces. Within the framework of weakly compressible SPH, this study proposes a Novel Particle Shifting Technology (NPST). The method addresses the issue of non-physical gaps near the free surface and compensates for missing free-surface information by controlling the influence of free-surface particles on their neighboring particles. As a result, it effectively mitigates irregularities along the free surface. The stability and effectiveness of the proposed NPST are validated through numerical simulations of three classical free-surface flow problems: numerical wave generation, square droplet rotation, and droplet oscillation. The simulation results are further compared with those obtained using the IPST method proposed by Wang et al. to highlight the improvements achieved. The results show that the NPST effectively alleviates particle distribution irregularities near the free surface, even at low resolutions, thereby enhancing computational accuracy. Moreover, the algorithm is simple and easy to implement.

     

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