Modeling electrokinetic flows by consistent implicit incompressible smoothed particle hydrodynamics
WX Pan and K Kim and M Perego and AM Tartakovsky and ML Parks, JOURNAL OF COMPUTATIONAL PHYSICS, 334, 125-144 (2017).
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. (C) 2016 Elsevier Inc. All rights reserved.
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