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

In this paper, we present a consistent implicit incompressible smoothed particle hydrodynamics (I 2SPH) 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 I 2SPH 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.
 [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
Publication Date:
Report Number(s):
Journal ID: ISSN 0021-9991; PII: S0021999116307069; TRN: US1701046
Grant/Contract Number:
AC02-05CH11231; AC05-76RL01830; AC04-94AL85000
Accepted Manuscript
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 334; Journal ID: ISSN 0021-9991
Research Org:
Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21); USDOE National Nuclear Security Administration (NNSA)
Country of Publication:
United States
97 MATHEMATICS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Smoothed particle hydrodynamics; Electrokinetic flow; Boundary condition; Implicit scheme
OSTI Identifier:
Alternate Identifier(s):
OSTI ID: 1396718