Modeling electrokinetic flows by consistent implicit incompressible smoothed particle hydrodynamics

Wenxiao Pan, Kyungjoo Kim, Mauro Perego, Alexandre M. Tartakovsky, Michael L. Parks

Research output: Contribution to journalArticlepeer-review

Abstract

We present a consistent implicit incompressible smoothed particle hydrodynamics (I2SPH) discretization of Navier–Stokes, Poisson–Boltzmann, and advection–diffusion equations subject to Dirichlet or Robin boundary conditions. It is applied to model various two and three dimensional electrokinetic flows in simple or complex geometries. The accuracy and convergence of the consistent I2SPH are examined via comparison with analytical solutions, grid-based numerical solutions, or empirical models. The new method provides a framework to explore broader applications of SPH in microfluidics and complex fluids with charged objects, such as colloids and biomolecules, in arbitrary complex geometries.

Original languageEnglish (US)
Pages (from-to)125-144
Number of pages20
JournalJournal of Computational Physics
Volume334
DOIs
StatePublished - Apr 1 2017
Externally publishedYes

Keywords

  • Boundary condition
  • Electrokinetic flow
  • Implicit scheme
  • Smoothed particle hydrodynamics

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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