English

Electrochemical transport modelling and open-source simulation of pore-scale solid-liquid systems

Numerical Analysis 2023-11-08 v2 Numerical Analysis Computational Physics Fluid Dynamics

Abstract

The modelling of electrokinetic flows is a critical aspect spanning many industrial applications and research fields. This has introduced great demand in flexible numerical solvers to describe these flows. The underlying phenomena are microscopic, non-linear, and often involve multiple domains. Therefore often model assumptions and several numerical approximations are introduced to simplify the solution. In this work, we present a multi-domain multi-species electrokinetic flow model including complex interface and bulk reactions. After a dimensional analysis and an overview of some limiting regimes, we present a set of general purpose finite-volume solvers, based on \of, capable of describing an arbitrary number of electrochemical species over multiple interacting (solid or fluid) domains \cite{spnpfoam}. We provide verification of the computational approach for several cases involving electrokinetic flows, reactions between species, and complex geometries. We first present three one-dimensional verification test cases, and then show the capability of the solver to tackle two- and three-dimensional electrically driven flows and ionic transport in random porous structures. The purpose of this work is to lay the foundation for a general-purpose open-source flexible modelling tool for problems in electrochemistry and electrokinetics at different scales.

Keywords

Cite

@article{arxiv.2212.13519,
  title  = {Electrochemical transport modelling and open-source simulation of pore-scale solid-liquid systems},
  author = {Robert Barnett and Federico Municchi and John King and Matteo Icardi},
  journal= {arXiv preprint arXiv:2212.13519},
  year   = {2023}
}
R2 v1 2026-06-28T07:54:01.687Z