5 papers
Maximization of Supercapacitor Storage via Topology Optimization of Electrode Structures
Jiajie Li, Xiang Ji, Shenggao Zhou +1
As widely used electrochemical storage devices, supercapacitors deliver higher power density than batteries, but suffer from significantly lower energy density. In this work, we pr…
Mean-field Modeling of Social Interactions Using Classical Density Functional Theory
Ziheng Xu, Shenggao Zhou
Incorporating social interactions is essential to an accurate modeling of epidemic spreading. This work proposes a novel local mean-field density functional theory model by using t…
Entropy Increasing Numerical Methods for Prediction of Reversible and Irreversible Heating in Supercapacitors
Jie Ding, Xiang Ji, Shenggao Zhou
Accurate characterization of entropy plays a pivotal role in capturing reversible and irreversible heating in supercapacitors during charging/discharging cycles. However, numerical…
A second-order accurate, original energy dissipative numerical scheme for chemotaxis and its convergence analysis
Jie Ding, Cheng Wang, Shenggao Zhou
This paper proposes a second-order accurate numerical scheme for the Patlak-Keller-Segel system with various mobilities for the description of chemotaxis. Formulated in a variation…
Shape Optimization of Supercapacitor Electrode to Maximize Charge Storage
Jiajie Li, Shenggao Zhou, Shengfeng Zhu
We build a new mathematical model of shape optimization for maximizing ionic concentration governed by the multi-physical coupling steady-state Poisson-Nernst-Planck system. Shape…