Iterative solvers for the Maxwell–Stefan diffusion equations: Methods and applications in plasma and particle transport

DOI10.1080/23311835.2015.1092913zbMath1339.35179arXiv1501.05792OpenAlexW1824897742MaRDI QIDQ2813518

Jürgen Geiser

Publication date: 24 June 2016

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05792

zbMATH Keywords

iterative schemesmulticomponent mixtureplasma modelexplicit discretization schemesMaxwell-Stefan approach

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Hyperbolic conservation laws (35L65) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Finite volume methods applied to problems in solid mechanics (74S10)

Related Items (7)

Multicomponent transport in plasmas; exploiting stoichiometry ⋮ On the Maxwell-Stefan diffusion limit for a reactive mixture of polyatomic gases in non-isothermal setting ⋮ An Entropy Structure Preserving Space-Time Formulation for Cross-Diffusion Systems: Analysis and Galerkin Discretization ⋮ Smoothed particle hydrodynamics model for simulating miscible multi-fluid flow ⋮ An Energy Stable and Positivity-Preserving Scheme for the Maxwell--Stefan Diffusion System ⋮ Convergence of an implicit Euler Galerkin scheme for Poisson-Maxwell-Stefan systems ⋮ Iterative solvers for the Maxwell–Stefan diffusion equations: Methods and applications in plasma and particle transport

Cites Work

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• A mathematical and numerical analysis of the Maxwell-Stefan diffusion equations
• Numerical solution of a multi-component species transport problem combining diffusion and fluid flow as engineering benchmark
• The Maxwell-Stefan diffusion limit for a kinetic model of mixtures
• Iterative solvers for the Maxwell–Stefan diffusion equations: Methods and applications in plasma and particle transport
• On the Maxwell-Stefan Approach to Multicomponent Diffusion
• Iterative Splitting Methods for Differential Equations
• Multicomponent and Multiscale Systems

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