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Finite Element Method for Electrochemical Transport (EchemFEM)

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EchemFEM

DOI

DOI

This code provides Finite Element solvers for electrochemical transport. Both continuous Galerkin (CG) and discontinuous Galerkin (DG) schemes are provided. The DG scheme for electroneutral Nernst-Planck is described in Roy et al., 2023. The CG scheme uses SUPG for the advection-migration term.

The following transport mechanisms are available: diffusion, advection, electromigration. EchemFEM supports both non-porous and porous cases. The ionic potential can either be described using an electroneutrality constraint or a Poisson equation. In the porous case, the electronic potential can be described by a Poisson equation. Some finite size effects are also implemented. For example, the generalized modified Poisson-Nernst-Planck model (GMPNP) is used in the examples of FireCat, coupling in with a microkinetics model.

LLNL-CODE-837342

Documentation

User guide and API documentation can be found here documentation.

Installation

Please install the open-source finite element library Firedrake.

To install EchemFEM, simply run the following in the parent echemfem folder:

pip install -e .

The documentation has more details about installation and running the code.