Title
Energetic stable discretization for non-isothermal electrokinetics model
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.
Year
DOI
Venue
2021
10.1016/j.jcp.2020.109889
Journal of Computational Physics
Keywords
DocType
Volume
PNP (Poisson-Nernst-Planck),Non-isothermal,Finite element,Energy stable,Math-biology
Journal
425
ISSN
Citations 
PageRank 
0021-9991
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Simo Wu100.34
Chun Liu224.84
Ludmil T. Zikatanov300.34