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Conference Papers Year : 2023

Structure Preserving Finite Volume Approximation of Cross-Diffusion Systems Coupled by a Free Interface

Approximation volumes finis structure-compatible de systèmes de diffusion croisée couplés par une interface libre

Abstract

We propose a two-point flux approximation finite-volume scheme for the approximation of two cross-diffusion systems coupled by a free interface to account for vapor deposition. The moving interface is addressed with a cut-cell approach, where the mesh is locally deformed around the interface. The scheme preserves the structure of the continuous system, namely: mass conservation, nonnegativity, volume-filling constraints and decay of the free energy. Numerical results illustrate the properties of the scheme.
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Dates and versions

hal-04050166 , version 1 (29-03-2023)
hal-04050166 , version 2 (09-05-2023)
hal-04050166 , version 3 (30-05-2023)
hal-04050166 , version 4 (13-07-2023)

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Cite

Clément Cancès, Jean Cauvin-Vila, Claire Chainais-Hillairet, Virginie Ehrlacher. Structure Preserving Finite Volume Approximation of Cross-Diffusion Systems Coupled by a Free Interface. Finite Volumes for Complex Applications X, Oct 2023, Strasbourg, France. pp.205-213, ⟨10.1007/978-3-031-40864-9_15⟩. ⟨hal-04050166v4⟩
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