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Title: Modeling electrokinetic flows by consistent implicit incompressible smoothed particle hydrodynamics

Journal Article · · Journal of Computational Physics
 [1];  [2];  [2];  [3];  [2]
  1. Univ. of Wisconsin, Madison, WI (United States). Department of Mechanical Engineering
  2. Sandia National Laboratories, NM (United States). Center for Computing Research
  3. 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.

Research Organization:
Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC02-05CH11231; AC05-76RL01830; AC04-94AL85000
OSTI ID:
1341746
Alternate ID(s):
OSTI ID: 1396718
Report Number(s):
PNNL-SA-117311; PII: S0021999116307069; TRN: US1701046
Journal Information:
Journal of Computational Physics, Vol. 334; ISSN 0021-9991
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 11 works
Citation information provided by
Web of Science

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  • Holmes, David W.; Williams, John R.; Tilke, Peter
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 35, Issue 4 https://doi.org/10.1002/nag.898
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