Energetic stable discretization for non-isothermal electrokinetics model

JOURNAL OF COMPUTATIONAL PHYSICS

卷:425

Article

Wu, Simo¹  Liu, Chun²  Zikatanov, Ludmil¹ 

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[2] IIT, Dept Appl Math, Chicago, IL 60616 USA

关键词: PNP (Poisson-Nernst-Planck);    Non-isothermal;    Finite element;    Energy stable;    Math-biology;   

DOI  :  10.1016/j.jcp.2020.109889

来源: Elsevier

【 摘 要 】

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. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free