Surface tension simulations with corrected ALE-ISPH and density-based shifting technique

Daniel Shigueo Morikawa, Mitsuteru Asai

研究成果: ジャーナルへの寄稿学術誌査読

抄録

This work shows the extension of a corrected Arbitrary Lagrangian Eulerian Incompressible Smoothed Particle Hydrodynamics (ALE-ISPH) method to surface tension simulations. In this context, the term “corrected” refers to the fact that all derivative operators are modified to enable first-order accuracy. Moreover, particles move according to a transport velocity, which is the summation of the material velocity and a small shifting of particle location to promote a smooth particle distribution at every step; hence, it is based on an ALE formulation. Using this method as a basis, we propose some small empirical modifications to the conventional curvature-based calculation of surface tension forces to simulate this phenomenon. Furthermore, we propose a special wall boundary treatment including ghost particles to reproduce the desired contact angles. Validation and verification tests include the obtaining of the theoretical Laplace pressure in a water droplet, the analysis of the frequency of an oscillating 3D droplet, the comparison of the capillary rise with the theoretical value and the collision of water droplets compared to physical experiments. All numerical simulations were successful, so we consider this to be a reasonable method to simulate the phenomena of surface tension under a wide range of conditions.

本文言語英語
ページ(範囲)965-976
ページ数12
ジャーナルComputational Particle Mechanics
11
3
DOI
出版ステータス出版済み - 6月 2024

!!!All Science Journal Classification (ASJC) codes

  • 計算力学
  • 土木構造工学
  • 数値解析
  • モデリングとシミュレーション
  • 流体および伝熱
  • 計算数学

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