Thermodynamically Consistent Finite Volume Methods for Generalized Nernst-Planck-Poisson Problems

Learn thermodynamically consistent finite volume methods for solving generalized Nernst-Planck-Poisson problems in this conference talk from IPAM's electrochemistry tutorials. Explore the fundamental principles of Voronoi box-based finite volume methods and understand their key differences from finite element approaches. Discover how to implement electrolyte models that incorporate finite ion sizes and solvation effects while ensuring thermodynamic consistency between generalized Poisson-Nernst-Planck and generalized Poisson-Boltzmann formulations. Examine synergies with semiconductor device simulation methods and learn how to couple these approaches to Navier-Stokes equations. Review a Julia-based implementation utilizing automatic differentiation techniques and analyze various numerical examples demonstrating the capabilities of these methods. Gain insights into future perspectives and challenges in computational electrochemistry modeling.