Finite volumes for the Stefan–Maxwell cross-diffusion system

نویسندگان

چکیده

Abstract The aim of this work is to propose a provably convergent finite volume scheme for the so-called Stefan–Maxwell model, which describes evolution composition multi-component mixture and reads as cross-diffusion system. proposed here relies on two-point flux approximation, preserves at discrete level some fundamental theoretical properties continuous models, namely non-negativity solutions, conservation mass preservation volume-filling constraints. In addition, satisfies entropy–entropy dissipation relation, very close relation that holds level. article, we present together with its numerical analysis, finally illustrate behaviour results.

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ژورنال

عنوان ژورنال: Ima Journal of Numerical Analysis

سال: 2023

ISSN: ['1464-3642', '0272-4979']

DOI: https://doi.org/10.1093/imanum/drad032