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

13 Scopus citations

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

Funding

This work was supported by the Applied Mathematics Program within the U.S. Department of Energy's (DOE) Office of Advanced Scientific Computing Research as part of the Collaboratory on Mathematics for Mesoscopic Modeling of Materials (CM4). This research also used resources of the National Energy Research Scientific Computing Center, a DOE Office of Science User Facility under Contract No. DE-AC02-05CH11231. Pacific Northwest National Laboratory is operated by Battelle for DOE under Contract DE-AC05-76RL01830. Sandia National Laboratories is a multi-program laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. DOE's National Nuclear Security Administration under contract DE-AC04-94AL85000.

Keywords

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

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