3 citations · 3 across the 2 of their papers we have counts for
5 papers
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…
Second-order, Positive, and Unconditional Energy Dissipative Scheme for Modified Poisson-Nernst-Planck Equations
Jie Ding, Shenggao Zhou
First-order energy dissipative schemes in time are available in literature for the Poisson-Nernst-Planck (PNP) equations, but second-order ones are still in lack. This work propose…
A second order accurate numerical method for the Poisson-Nernst-Planck system in the energetic variational formulation
Chun Liu, Cheng Wang, Steven M. Wise +2
A second order accurate (in time) numerical scheme is proposed and analyzed for the Poisson-Nernst-Planck equation (PNP) system, reformulated as a non-constant mobility gr…
Energetic Variational Approach for Prediction of Thermal Electrokinetics in Charging and Discharging Processes of Electrical Double Layer Capacitors
Xiang Ji, Chun Liu, Pei Liu +1
This work proposes a new variational, thermodynamically consistent model to predict thermal electrokinetics in electric double layer capacitors (EDLCs) by using an energetic variat…