Comparison and numerical treatment of generalised Nernst-Planck models

DOI10.1016/j.cpc.2015.06.004zbMath1360.82088OpenAlexW658839405MaRDI QIDQ525646

Jürgen Fuhrmann

Publication date: 5 May 2017

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2015.06.004

zbMATH Keywords

finite volume methodsNernst-Planck equationsbikerman-freise modelelectrolytes

Mathematics Subject Classification ID

Related Items (17)

Entropy and convergence analysis for two finite volume schemes for a Nernst-Planck-Poisson system with ion volume constraints ⋮ Existence and two-scale convergence of the generalised Poisson–Nernst–Planck problem with non-linear interface conditions ⋮ Maximal mixed parabolic–hyperbolic regularity for the full equations of multicomponent fluid dynamics ⋮ Mathematical modeling of a discontinuous solution of the generalized Poisson-Nernst-Planck problem in a two-phase medium ⋮ New insights on the interfacial tension of electrochemical interfaces and the Lippmann equation ⋮ Highly accurate quadrature-based scharfetter-gummel schemes for charge transport in degenerate semiconductors ⋮ Computational and analytical comparison of flux discretizations for the semiconductor device equations beyond Boltzmann statistics ⋮ Two Entropic Finite Volume Schemes for a Nernst–Planck–Poisson System with Ion Volume Constraints ⋮ Voronoi Finite Volumes and Pressure Robust Finite Elements for Electrolyte Models with Finite Ion Sizes ⋮ On Four Numerical Schemes for a Unipolar Degenerate Drift-Diffusion Model ⋮ Unipolar Drift-Diffusion Simulation of S-Shaped Current-Voltage Relations for Organic Semiconductor Devices ⋮ On generalized Poisson-Nernst-Planck equations with inhomogeneous boundary conditions: a-priori estimates and stability ⋮ Generalized Scharfetter-Gummel schemes for electro-thermal transport in degenerate semiconductors using the Kelvin formula for the Seebeck coefficient ⋮ Models and Numerical Methods for Electrolyte Flows ⋮ Homogenization of the generalized Poisson–Nernst–Planck problem in a two-phase medium: correctors and estimates ⋮ Entropy method for generalized Poisson-Nernst-Planck equations ⋮ A Finite Volume Scheme for Nernst-Planck-Poisson Systems with Ion Size and Solvation Effects

Uses Software

• PARDISO
• pdelib
• TetGen
• Triangle
• ddfermi

Cites Work

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• Some Error Estimates for the Box Method
• Finite volume schemes for diffusion equations: Introduction to and review of modern methods
• The Keller–Segel Model for Chemotaxis with Prevention of Overcrowding: Linear vs. Nonlinear Diffusion
• An Inverse Matrix Adjustment Arising in Discriminant Analysis
• An asymmetrical finite difference network
• Thermodynamics

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