《计算机应用研究》|Application Research of Computers

一种基于自适应光滑长度的SPH液体模拟方法

SPH liquid simulation method based on adaptive smooth length

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作者 朱鉴,李泓澍,蔡瑞初,陈炳丰
机构 广东工业大学 计算机学院,广州 510006
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文章编号 1001-3695(2020)09-064-2871-05
DOI 10.19734/j.issn.1001-3695.2019.06.0172
摘要 传统SPH流体模拟方法通常使用固定的粒子光滑长度进行插值计算,在某些情况下会导致较大的插值误差。为提升模拟精度,建立了粒子光滑长度与邻居粒子密度调和平均数间的关系,用以自适应调整粒子的光滑长度,并设计和定义了相应的邻居搜索方案和核函数以解决受力不对称的问题。经实验验证,该方法有效降低了粒子邻居数方差,解决了传统SPH支持域固定导致的粒子插值误差过大的问题,使仿真结果更接近物理事实。同时由于物理计算精度的提高,模拟稳定性得到增强,因而可以使用更大的时间步长,有效提升了模拟速度。最终,相比其他方法在视觉质量和模拟速度上均具有一定优势。
关键词 流体模拟; 光滑粒子流体动力学; 光滑长度; 自适应; 插值
基金项目 国家自然科学基金资助项目(61502109,61672502,61702112)
广东省自然科学基金资助项目(2016A030310342)
广东省信息物理融合系统重点实验室开放课题(2016B030301008)
NSFC-广东联合基金资助项目(U1501254)
广东省科技计划项目(2016A040403078,2017B010110015,2017B010110007)
广州市珠江科技新星(201610010101)
广州市科技计划项目(201604016075)
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英文标题 SPH liquid simulation method based on adaptive smooth length
作者英文名 Zhu Jian, Li Hongshu, Cai Ruichu, Chen Bingfeng
机构英文名 School of Computers,Guangdong University of Technology,Guangzhou 510006,China
英文摘要 The traditional SPH fluid simulation method usually uses fixed particle smooth length for interpolation, which may result in large interpolation errors in some cases. In order to improve the simulation accuracy, this paper established the relationship between the smoothing length of particles and the harmonic mean of neighboring particle densities, and adaptively adjusted the smoothing length of particles. Furthermore, the paper designed the corresponding particle neighbor search scheme and kernel function to solve the problem of force asymmetry. Experiments show that this method effectively reduces the variance of the number of particle neighbors, which solves the problem of large interpolation error caused by fixed support domain of traditional SPH particles, and makes the simulation results closer to physical facts. At the same time, due to improved calculation accuracy, the simulation stability is enhanced, and the physical simulation can be performed with a larger time step to effectively improve the simulation efficiency. Finally, compared with state-of-the-art methods, this method has advantages both in visual quality and simulation speed.
英文关键词 fluid simulation; SPH(smoothed particle hydrodynamics); smooth length; adaptive; interpolation
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收稿日期 2019/6/21
修回日期 2019/7/30
页码 2871-2875
中图分类号 TP391
文献标志码 A