Mass conservative finite volume discretization of the continuity equations in multi-component mixtures

DOI10.1016/j.jcp.2011.02.001zbMath1293.76090OpenAlexW1991231856MaRDI QIDQ543771

W. J. Goedheer, J. van Dijk, K. S. C. Peerenboom, J. J. A. M. van der Mullen, Lei Liu, Jan H. M. ten Thije Boonkkamp

Publication date: 17 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.02.001

zbMATH Keywords

mass conservationfinite volume discretizationexponential schememulti-component diffusionStefan-Maxwell equations

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods applied to problems in thermodynamics and heat transfer (80M12)

Related Items (6)

Mixed finite element methods for addressing multi-species diffusion using the Maxwell-Stefan equations ⋮ Extension of the complete flux scheme to systems of conservation laws ⋮ An Entropy Structure Preserving Space-Time Formulation for Cross-Diffusion Systems: Analysis and Galerkin Discretization ⋮ A finite volume-complete flux scheme for a polluted groundwater site ⋮ Convergence of an implicit Euler Galerkin scheme for Poisson-Maxwell-Stefan systems ⋮ On the ambipolar constraint in multi-component diffusion problems

Uses Software

• SuperLU

Cites Work

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• Convergent iterative methods for multicomponent diffusion
• A Supernodal Approach to Sparse Partial Pivoting
• Multicomponent Transport Algorithms
• ASYMPTOTIC STABILITY OF EQUILIBRIUM STATES FOR AMBIPOLAR PLASMAS
• Bunsen flame simulation by finite elements on adaptively refined, unstructured triangulations
• A numerically stable method for integration of the multicomponent species diffusion equations

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