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Volume 30, Issue 3
Field Model for Complex Ionic Fluids: Analytical Properties and Numerical Investigation

Jian-Guo Liu, Jinhuan Wang, Yu Zhao & Zhennan Zhou

DOI: 10.4208/cicp.OA-2019-0223

Commun. Comput. Phys., 30 (2021), pp. 874-902.

Published online: 2021-07

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  • 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.

  • Keywords

Complex ionic fluids, variational structure, finite size effect, finite volume method.

  • AMS Subject Headings

35Q92, 65M08, 65M12, 92E20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

wjh800415@163.com (Jinhuan Wang)

  • BibTex
  • RIS
  • TXT
@Article{CiCP-30-874, author = {Liu , Jian-GuoWang , JinhuanZhao , Yu and Zhou , Zhennan}, title = {Field Model for Complex Ionic Fluids: Analytical Properties and Numerical Investigation}, journal = {Communications in Computational Physics}, year = {2021}, volume = {30}, number = {3}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2019-0223}, url = {http://global-sci.org/intro/article_detail/cicp/19315.html} }
TY - JOUR T1 - Field Model for Complex Ionic Fluids: Analytical Properties and Numerical Investigation AU - Liu , Jian-Guo AU - Wang , Jinhuan AU - Zhao , Yu AU - Zhou , Zhennan JO - Communications in Computational Physics VL - 3 SP - 874 EP - 902 PY - 2021 DA - 2021/07 SN - 30 DO - http://doi.org/10.4208/cicp.OA-2019-0223 UR - https://global-sci.org/intro/article_detail/cicp/19315.html KW - Complex ionic fluids, variational structure, finite size effect, finite volume method. AB -

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.

Liu , Jian-GuoWang , JinhuanZhao , Yu and Zhou , Zhennan. (2021). Field Model for Complex Ionic Fluids: Analytical Properties and Numerical Investigation. Communications in Computational Physics. 30 (3). 874-902. doi:10.4208/cicp.OA-2019-0223
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