Consistent inlet and outlet boundary conditions for particle methods

Fangyuan Hu, Zidi Wang*, Tasuku Tamai, Seiichi Koshizuka

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


In this paper, simple and consistent open boundary conditions are presented for the numerical simulation of viscous incompressible laminar flows. The present approach is based on an arbitrary Lagrangian-Eulerian particle method using upwind interpolation. Three kinds of inlet/outlet boundary conditions are proposed for particle methods, a pressure specified inlet/outlet condition, a velocity profile specified inlet/outlet condition, and a fully developed flow outlet condition. These inlet/outlet conditions are realized by using boundary particles and modification to the physical value such as velocity. Poiseuille flows, flows over a backward-facing step, and flows in a T-shape branch are calculated. The results are compared with those of mesh-based methods such as the finite volume method. The method presented herein exhibits accuracy and numerical stability.

Original languageEnglish
Pages (from-to)1-19
Number of pages19
JournalInternational Journal for Numerical Methods in Fluids
Issue number1
Publication statusPublished - 2020 Jan 1
Externally publishedYes


  • inlet
  • open boundary condition
  • outlet
  • particle method

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics


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