光滑粒子流体力学
离散化
压缩性
电动现象
机械
经典力学
物理
边值问题
统计物理学
应用数学
数学
数学分析
材料科学
纳米技术
作者
Wenxiao Pan,Kyungjoo Kim,Mauro Perego,Alexandre M. Tartakovsky,Michael L. Parks
标识
DOI:10.1016/j.jcp.2016.12.042
摘要
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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