Energetic Stable Discretization for Non-Isothermal Electrokinetics Model
Numerical Analysis
2019-11-20 v1 Numerical Analysis
Abstract
We propose an edge averaged finite element(EAFE) discretization to solve the Heat-PNP (Poisson-Nernst-Planck) equations approximately. Our method enforces positivity of the computed charged density functions and temperature function. Also the thermodynamic consistent discrete energy estimate which resembles the thermodynamic second law of the Heat-PNP system is prescribed. Numerical examples are provided.
Cite
@article{arxiv.1911.07884,
title = {Energetic Stable Discretization for Non-Isothermal Electrokinetics Model},
author = {Simo Wu and Chun Liu and Ludmil Zitakanov},
journal= {arXiv preprint arXiv:1911.07884},
year = {2019}
}
Comments
18 pages