Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6930739 | Journal of Computational Physics | 2016 | 18 Pages |
Abstract
A finite element discretization using a method of lines approached is proposed for approximately solving the Poisson-Nernst-Planck (PNP) equations. This discretization scheme enforces positivity of the computed solutions, corresponding to particle density functions, and a discrete energy estimate is established that takes the same form as the energy law for the continuous PNP system. This energy estimate is extended to finite element solutions to an electrokinetic model, which couples the PNP system with the incompressible Navier-Stokes equations. Numerical experiments are conducted to validate convergence of the computed solution and verify the discrete energy estimate.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Maximilian S. Metti, Jinchao Xu, Chun Liu,