Energetic stable discretization for non-isothermal electrokinetics model

被引：2
作者：
Wu, Simo [1 ]
Liu, Chun [2 ]
Zikatanov, Ludmil [1 ]
机构：
[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA
[2] IIT, Dept Appl Math, Chicago, IL 60616 USA
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2021年 / 425卷
关键词：
PNP (Poisson-Nernst-Planck); Non-isothermal; Finite element; Energy stable; Math-biology;
D O I：
10.1016/j.jcp.2020.109889
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
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.
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页数：17
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