Structure Preserving Finite Volume Approximation of Cross-Diffusion Systems Coupled by a Free Interface
Numerical Analysis
2023-07-14 v4 Numerical Analysis
Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.2303.15817,
title = {Structure Preserving Finite Volume Approximation of Cross-Diffusion Systems Coupled by a Free Interface},
author = {Clément Cancès and Jean Cauvin-Vila and Claire Chainais-Hillairet and Virginie Ehrlacher},
journal= {arXiv preprint arXiv:2303.15817},
year = {2023}
}
Comments
Typo corrected (sign in the flux)