Numerical Study of the Higher-Order Maxwell-Stefan Model of Diffusion

TL;DR

This paper compares the standard and higher-order Maxwell-Stefan diffusion models through numerical simulations, highlighting qualitative similarities and quantitative differences in component behaviors.

Contribution

It introduces a numerical scheme to compare the standard and higher-order Maxwell-Stefan models, emphasizing the impact of the pressure tensor on diffusion predictions.

Findings

Higher-order model preserves qualitative features of diffusion.

Quantitative differences observed in component behaviors.

Numerical scheme enables detailed comparison of models.

Abstract

The aim of the study is to compare the standard Maxwell-Stefan model of diffusion with the higher-order one recently derived. This higher-order model takes into account the influence of the complete pressure tensor. A numerical scheme is developed for comparing the two models through numerical simulations of three-component diffusion. It is shown that the higher-order model preserves qualitative features of the diffusion process, but quantitative differences were observed in the behavior of the mixture components.