Modeling electrokinetic flows by consistent implicit incompressible smoothed particle hydrodynamics

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

doi:10.1016/j.jcp.2016.12.042

Modeling electrokinetic flows by consistent implicit incompressible smoothed particle hydrodynamics

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

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	125-144
Number of pages	20
Journal	Journal of Computational Physics
Volume	334
DOIs	https://doi.org/10.1016/j.jcp.2016.12.042
State	Published - Apr 1 2017
Externally published	Yes

Keywords

Boundary condition
Electrokinetic flow
Implicit scheme
Smoothed particle hydrodynamics

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

Online availability

10.1016/j.jcp.2016.12.042

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title = "Modeling electrokinetic flows by consistent implicit incompressible smoothed particle hydrodynamics",

abstract = "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.",

keywords = "Boundary condition, Electrokinetic flow, Implicit scheme, Smoothed particle hydrodynamics",

author = "Wenxiao Pan and Kyungjoo Kim and Mauro Perego and Tartakovsky, \{Alexandre M.\} and Parks, \{Michael L.\}",

note = "This work was supported by the Applied Mathematics Program within the U.S. Department of Energy's (DOE) Office of Advanced Scientific Computing Research as part of the Collaboratory on Mathematics for Mesoscopic Modeling of Materials (CM4). This research also used resources of the National Energy Research Scientific Computing Center, a DOE Office of Science User Facility under Contract No. DE-AC02-05CH11231. Pacific Northwest National Laboratory is operated by Battelle for DOE under Contract DE-AC05-76RL01830. Sandia National Laboratories is a multi-program laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. DOE's National Nuclear Security Administration under contract DE-AC04-94AL85000.",

year = "2017",

month = apr,

day = "1",

doi = "10.1016/j.jcp.2016.12.042",

language = "English (US)",

volume = "334",

pages = "125--144",

journal = "Journal of Computational Physics",

issn = "0021-9991",

publisher = "Academic Press Inc.",

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T1 - Modeling electrokinetic flows by consistent implicit incompressible smoothed particle hydrodynamics

AU - Pan, Wenxiao

AU - Kim, Kyungjoo

AU - Perego, Mauro

AU - Tartakovsky, Alexandre M.

AU - Parks, Michael L.

N1 - This work was supported by the Applied Mathematics Program within the U.S. Department of Energy's (DOE) Office of Advanced Scientific Computing Research as part of the Collaboratory on Mathematics for Mesoscopic Modeling of Materials (CM4). This research also used resources of the National Energy Research Scientific Computing Center, a DOE Office of Science User Facility under Contract No. DE-AC02-05CH11231. Pacific Northwest National Laboratory is operated by Battelle for DOE under Contract DE-AC05-76RL01830. Sandia National Laboratories is a multi-program laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. DOE's National Nuclear Security Administration under contract DE-AC04-94AL85000.

PY - 2017/4/1

Y1 - 2017/4/1

N2 - 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.

AB - 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.

KW - Boundary condition

KW - Electrokinetic flow

KW - Implicit scheme

KW - Smoothed particle hydrodynamics

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UR - https://www.scopus.com/pages/publications/85009200754#tab=citedBy

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DO - 10.1016/j.jcp.2016.12.042

M3 - Article

AN - SCOPUS:85009200754

SN - 0021-9991

VL - 334

SP - 125

EP - 144

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

Modeling electrokinetic flows by consistent implicit incompressible smoothed particle hydrodynamics

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Keywords

ASJC Scopus subject areas

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