Modeling electrokinetic flows by consistent implicit incompressible smoothed particle hydrodynamics

• Published in: Journal of computational physics Vol. 334; pp. 125 - 144
• Main Authors: Pan, Wenxiao, Kim, Kyungjoo, Perego, Mauro, Tartakovsky, Alexandre M., Parks, Michael L.
• Format: Journal Article
• Language: English
• Published: Cambridge Elsevier Inc 01.04.2017; Elsevier Science Ltd; Elsevier
• Subjects: Biomolecules; Boundary condition; Boundary conditions; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Combinatorics; Computational fluid dynamics; Computational physics; Diffusion; Dirichlet problem; Electrokinetic flow; Electrokinetics; Empirical analysis; Flow velocity; Fluid flow; Fluid mechanics; Geometric accuracy; Implicit scheme; Incompressible flow; Kinetics; Mathematical models; MATHEMATICS AND COMPUTING; Microfluidics; Navier-Stokes equations; Smooth particle hydrodynamics; Smoothed particle hydrodynamics; Three dimensional flow; Three dimensional models; Smoothed particle hydrodynamics; Electrokinetic flow; Implicit scheme; Boundary condition
• ISSN: 0021-9991; 1090-2716
• DOI: 10.1016/j.jcp.2016.12.042

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.