Modeling electrokinetic flows by consistent implicit incompressible smoothed particle hydrodynamics

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 flo...

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Vydané v:Journal of computational physics Ročník 334; s. 125 - 144
Hlavní autori: Pan, Wenxiao, Kim, Kyungjoo, Perego, Mauro, Tartakovsky, Alexandre M., Parks, Michael L.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Cambridge Elsevier Inc 01.04.2017
Elsevier Science Ltd
Elsevier
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ISSN:0021-9991, 1090-2716
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Popis
Shrnutí: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.
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USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
AC02-05CH11231; AC05-76RL01830; AC04-94AL85000
PNNL-SA-117311
USDOE National Nuclear Security Administration (NNSA)
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2016.12.042