论文标题
Stefan-Maxwell跨扩散系统的有限量
Finite volumes for the Stefan-Maxwell cross-diffusion system
论文作者
论文摘要
这项工作的目的是为所谓的Stefan-Maxwell模型提出一种可证明的有限体积方案，该模型描述了多组分混合物的组成的演变，并将其读为交叉扩散系统。这里提出的计划依赖于两点通量近似，并在离散级别保存连续模型的某些基本理论特性，即解决方案的非负性，质量的保护和填充体积约束的保存。此外，该方案满足离散的熵 - 内向耗散关系，非常接近保持连续水平的关系。在本文中，我们介绍了该方案及其数值分析，最后用一些数值结果说明了其行为。
The aim of this work is to propose a provably convergent finite volume scheme for the so-called Stefan-Maxwell model, which describes the evolution of the composition of a multi-component mixture and reads as a cross-diffusion system. The scheme proposed here relies on a two-point flux approximation, and preserves at the discrete level some fundamental theoretical properties of the continuous models, namely the non-negativity of the solutions, the conservation of mass and the preservation of the volume-filling constraints. In addition, the scheme satisfies a discrete entropy-entropy dissipation relation, very close to the relation which holds at the continuous level. In this article, we present this scheme together with its numerical analysis, and finally illustrate its behaviour with some numerical results.
