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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Vydáno v:Journal of computational physics Ročník 334; s. 125 - 144
Hlavní autoři: Pan, Wenxiao, Kim, Kyungjoo, Perego, Mauro, Tartakovsky, Alexandre M., Parks, Michael L.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cambridge Elsevier Inc 01.04.2017
Elsevier Science Ltd
Elsevier
Témata:
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
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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