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 - <p style="text-align: justify;">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.</p>