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图学学报 ›› 2021, Vol. 42 ›› Issue (4): 636-643.DOI: 10.11996/JG.j.2095-302X.2021040636

• 计算机图形学与虚拟现实 • 上一篇    下一篇

固体入水的边界压力处理及表面粒子位置的修正

  

  1. 合肥工业大学数学学院,安徽 合肥 230009
  • 出版日期:2021-08-31 发布日期:2021-08-05
  • 基金资助:
    国家自然科学基金项目(61272024)

Boundary pressure treatment and correction of surface particle position of solid entering water 

  1. School of Mathematics, Hefei University of Technology, Hefe Anhui 230009, China
  • Online:2021-08-31 Published:2021-08-05
  • Supported by:
    National Natural Science Foundation of China (61272024)

摘要: 基于传统光滑粒子流体动力学(SPH)方法的边界力法、虚粒子法或耦合力法处理固体入水时,流
体与固体交互界面的粒子密度不连续、压力不稳定、固体边界处会发生部分流体粒子穿透或分离等现象,而流
体表面因为受到力的作用,表面破碎后,液面较粗糙。针对上述问题,结合边界力和虚粒子的优点,对耦合力
法进行改进,处理运动固体边界,阻止流体粒子穿透固体边界;改进交互界面的压力计算方法,提高计算精度,
稳定交互界面压力场;对流体表面的粒子位置进行校正,提升流体表面自由流动液面边界的模拟效果。通过经
典的二维固体入水实验,对该方法进行了验证,实验结果表明,本文方法在流体粒子与固体粒子交互后,交互
界面压力稳定,界面分离清晰无穿透,表面流体粒子分布均匀,流场的运动真实自然。

关键词: 光滑粒子流体动力学方法, 固体入水, 边界压力处理, 表面粒子位置修正

Abstract: When the boundary force method, virtual particle method, or coupling force method based on the traditional
smooth particle hydrodynamics (SPH) method is used to treat solids entering water, the particle density at the
fluid-solid interaction interface is discontinuous, the pressure is unstable, and some fluid particles penetrate the solid
boundary or separate at this boundary. In addition, the fluid surface will be rougher under force after the surface is
broken. Aiming at the above problems, this paper combined the advantages of the boundary force method and virtual
particle method, and improved the coupling force method to deal with the moving solid boundary to prevent fluid
particles from penetrating the solid boundary. The pressure calculation method of the interactive interface was
enhanced, the calculation accuracy was increased, and the pressure field of the interactive interface was stabilized.
Corrections were made to the particle position on the fluid surface to improve the simulation effect of the free-flowing
liquid surface boundary on the fluid surface. The proposed method was verified by the classic two-dimensional solid
entering water experiments. The experimental results show that after fluid particles interact with solid particles, stable
interface pressure can be maintained using the method in this paper, the interface separation is clear without penetration, the surface fluid particles are uniformly distributed, and the movement of the flow field is real and
natural.

Key words: smoothed particle hydrodynamics method, objects into the water, boundary pressure treatment, correction
of surface particle position

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