A MATHEMATICAL AND NUMERICAL ANALYSIS OF THE MAXWELL-STEFAN DIFFUSION EQUATIONS

作者:Boudin Laurent*; Grec Berenice; Salvarani Francesco
来源:Discrete and Continuous Dynamical Systems-Series B, 2012, 17(5): 1427-1440.
DOI:10.3934/dcdsb.2012.17.1427

摘要

We consider the Maxwell-Stefan model of diffusion in a multicomponent gaseous mixture. After focusing on the main differences with the Fickian diffusion model, we study the equations governing a three-component gas mixture. Mostly in the case of a tridiagonal diffusion matrix, we provide a qualitative and quantitative mathematical analysis of the model. We develop moreover a standard explicit numerical scheme and investigate its main properties. We eventually include some numerical simulations underlining the uphill diffusion phenomenon.

  • 出版日期2012-7
  • 单位INRIA