Modeling electrokinetic flows by consistent implicit incompressible smoothed particle hydrodynamics

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

doi:10.1016/j.jcp.2016.12.042

Modeling electrokinetic flows by consistent implicit incompressible smoothed particle hydrodynamics

Journal Article · Tue Jan 03 00:00:00 EST 2017 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2016.12.042· OSTI ID:1341746

Pan, Wenxiao ^[1]; Kim, Kyungjoo ^[2]; Perego, Mauro ^[2]; Tartakovsky, Alexandre M. ^[3]; Parks, Michael L. ^[2]

Univ. of Wisconsin, Madison, WI (United States). Department of Mechanical Engineering
Sandia National Laboratories, NM (United States). Center for Computing Research
Pacific Northwest National Lab. (PNNL), Richland, WA (United States). Advanced Computing, Mathematics, & Data Division

In this paper, 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. Lastly, 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.

View Accepted Manuscript (DOE)

Research Organization:: Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)

Sponsoring Organization:: USDOE; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)

Grant/Contract Number:: AC02-05CH11231; AC04-94AL85000; AC05-76RL01830

OSTI ID:: 1341746

Alternate ID(s):: OSTI ID: 1356491
OSTI ID: 1396718

Report Number(s):: PNNL-SA--117311; PII: S0021999116307069

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 334; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Modeling electrokinetic flows by consistent implicit incompressible smoothed particle hydrodynamics

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