English

High-accuracy three-dimensional surface detection in smoothed particle hydrodynamics for free-surface flows

Fluid Dynamics 2023-06-14 v1

Abstract

In this study, we investigate high-accuracy three-dimensional surface detection in smoothed particle hydrodynamics for free-surface flows. A new geometrical method is first developed to enhance the accuracy of free-surface particle detection in complex flows. This method detects free-surface particles via continuous global scanning inside the sphere of a particle through a cone region whose vertex corresponds to the particle position. The particle is identified as a free-surface particle if there exists a cone region with no neighboring particles. Next, an efficient semi-geometrical method is proposed based on the geometrical method to reduce the computational cost. It consists of finding particles near the free surface via position divergence and then detecting these particles using the geometrical method to identify free-surface particles. The accuracy and robustness of the proposed method are demonstrated by performing tests on several model problems.

Keywords

Cite

@article{arxiv.2205.02742,
  title  = {High-accuracy three-dimensional surface detection in smoothed particle hydrodynamics for free-surface flows},
  author = {Wen-Bin Liu and Dong-Jun Ma and Jian-Zhen Qian and Ming-Yu Zhang and An-Min He and Nan-Sheng Liu and Pei Wang},
  journal= {arXiv preprint arXiv:2205.02742},
  year   = {2023}
}
R2 v1 2026-06-24T11:08:24.922Z