Pairwise Force Smoothed Particle Hydrodynamics model for multiphase flow: Surface tension and contact line dynamics

Alexandre M. Tartakovsky, Alexander Panchenko

Research output: Contribution to journalArticlepeer-review

Abstract

We present a novel formulation of the Pairwise Force Smoothed Particle Hydrodynamics (PF-SPH) model and use it to simulate two- and three-phase flows in bounded domains. In the PF-SPH model, the Navier-Stokes equations are discretized with the Smoothed Particle Hydrodynamics (SPH) method, and the Young-Laplace boundary condition at the fluid-fluid interface and the Young boundary condition at the fluid-fluid-solid interface are replaced with pairwise forces added into the Navier-Stokes equations. We derive a relationship between the parameters in the pairwise forces and the surface tension and static contact angle. Next, we demonstrate the model's accuracy under static and dynamic conditions. Finally, we use the Pf-SPH model to simulate three phase flow in a porous medium.

Original languageEnglish (US)
Pages (from-to)1119-1146
Number of pages28
JournalJournal of Computational Physics
Volume305
DOIs
StatePublished - Jan 15 2016
Externally publishedYes

Keywords

  • Contact line dynamics
  • Multiphase flow
  • Pore-scale flow
  • Smoothed particle hydrodynamics
  • Surface tension
  • Three-phase flow

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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