Energetic stable discretization for non-isothermal electrokinetics model
Energetic stable discretization for non-isothermal electrokinetics model
复制标题
非等温电动模型的能量稳定离散化
DOI：
10.1016/j.jcp.2020.109889
复制
发表时间：
2021
影响因子：
4.1
通讯作者：
Zikatanov, Ludmil
中科院分区：
文献类型：
--
作者：
Wu, Simo;Liu, Chun;Zikatanov, Ludmil
提出了一种边缘平均有限元（EAFE）离散方法来近似求解热PNP（Poisson-Nernst-Planck）方程。我们的方法强制计算的带电密度函数和温度函数的正性。并给出了类似于Heat-PNP系统热力学第二定律的热力学一致的离散能量估计。数值例子。
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.