Year: 2021
Author: Jian-Guo Liu, Jinhuan Wang, Yu Zhao, Zhennan Zhou
Communications in Computational Physics, Vol. 30 (2021), Iss. 3 : pp. 874–902
Abstract
In this paper, we consider the field model for complex ionic fluids with an energy variational structure, and analyze the well-posedness to this model with regularized kernels. Furthermore, we deduce the estimate of the maximal density function to quantify the finite size effect. On the numerical side, we adopt a finite volume scheme to the field model, which satisfies the following properties: positivity-preserving, mass conservation and energy dissipation. Besides, series of numerical experiments are provided to demonstrate the properties of the steady state and the finite size effect by showing the equilibrium profiles with different values of the parameter in the kernel.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2019-0223
Communications in Computational Physics, Vol. 30 (2021), Iss. 3 : pp. 874–902
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 29
Keywords: Complex ionic fluids variational structure finite size effect finite volume method.