基于空间变光滑长度SPH方法研究

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摘要光滑粒子方法（SPH）在模拟界面变形问题方面有独特优势，但传统SPH方法大都采用区域恒定一致光滑长度算法，存在计算效率低的不足。为提高其在求解问题时的计算效率和空间分辨能力，采用粒子扩散分布模型，给每个粒子配置独立的光滑长度及质量，并使用空间变光滑长度SPH方法求解。以气泡上浮和非对称楔形体入水冲击两个算例验证了方法的有效性。结果显示，采用合理的粒子分布方式结合空间变光滑长度算法，均可获得与实验吻合很好的结果，但所需粒子数都较均匀粒子分布减少1/4，计算效率提高了25%。这表明空间变光滑长度SPH方法可以在保证计算精度的同时大幅提高计算效率，适合模拟三维多相流动、入水冲击等复杂工程问题。

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	施文奎
	沈雁鸣
	陈坚强

关键词 ：空间变光滑长度, 计算效率, 粒子分布方式, 入水冲击, SPH

Abstract：In order to improve the computational efficiency and spatial resolution of traditional SPH method, diffused particle distribution models were adopted. Each particle was assigned with an independent smoothing length and mass, and the SPH method with space-based variable smoothing length was proposed to solve problems. The effectiveness of the method was verified by simulating an air bubble rising case and an asymmetric wedge body water entry impact one. The results showed that both cases’ computation results with the proposed method agree well with the experimental ones with a reasonable particle distribution model; the particle numbers of both cases decreases by about 1/4 compared with those using the uniform particle distribution model, and their computation efficiencies increase by 25%; the SPH method with space-based variable smoothing length can be used not only to keep the computational accuracy but also significantly improve the computational efficiency, it is suitable for simulating complex engineering problems, such as, 3D multi-phase flow and water entry impact.

Key words： space-based variable smoothing length computational efficiency particle distribution model water-entry impact SPH

收稿日期: 2017-07-10 出版日期: 2019-02-28

引用本文:

施文奎，沈雁鸣，陈坚强. 基于空间变光滑长度SPH方法研究[J]. 振动与冲击, 2019, 38(5): 259-264.
SHI Wenkui, SHEN Yanming,CHEN Jianqiang. SPH method with space-based variable smoothing length. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(5): 259-264.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2019/V38/I5/259

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