Field Model for Complex Ionic Fluids: Analytical Properties and Numerical Investigation

DOI10.4208/cicp.OA-2019-0223zbMath1473.35601arXiv1912.09208OpenAlexW3182600439MaRDI QIDQ5163899

Jian-Guo Liu, Yu Zhao, Zhennan Zhou, Jinhuan Wang

Publication date: 9 November 2021

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

Full work available at URL: https://arxiv.org/abs/1912.09208

zbMATH Keywords

finite volume methodvariational structurefinite size effectcomplex ionic fluids

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (1)

Structure-preserving numerical method for Maxwell-Ampère Nernst-Planck model

Cites Work

• A free energy satisfying finite difference method for Poisson-Nernst-Planck equations
• Translation of J. D. van der Waals' ``The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density
• Energetically stable discretizations for charge transport and electrokinetic models
• Poisson-Fermi formulation of nonlocal electrostatics in electrolyte solutions
• A free energy satisfying discontinuous Galerkin method for one-dimensional Poisson-Nernst-Planck systems
• A fully discrete positivity-preserving and energy-dissipative finite difference scheme for Poisson-Nernst-Planck equations
• Concentrations in regularizations for 2‐D incompressible flow
• A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure

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