Energetic Stable Discretization for Non-Isothermal Electrokinetics Model

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 r...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Wu, Simo, Liu, Chun, Zitakanov, Ludmil
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 18.11.2019
Subjects
Online AccessGet full text

Cover

Loading…
More Information
Summary: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.
ISSN:2331-8422