论文标题
Maxwell-Stefan扩散系统的能量稳定且具有积极性的方案
An energy stable and positivity-preserving scheme for the Maxwell-Stefan diffusion system
论文作者
论文摘要
我们为Maxwell-Stefan扩散系统开发了一个新的有限差异方案。该方案是保守的，能量稳定和阳性性的。这些良好的特性源于变异结构，并通过将有限差异方案重新定义为等效优化问题来证明。该方案的解决方案是作为优化问题的最小化器而出现的，因此获得了能量稳定性和阳性性能。
We develop a new finite difference scheme for the Maxwell-Stefan diffusion system. The scheme is conservative, energy stable and positivity-preserving. These nice properties stem from a variational structure and are proved by reformulating the finite difference scheme into an equivalent optimization problem. The solution to the scheme emerges as the minimizer of the optimization problem, and as a consequence energy stability and positivity-preserving properties are obtained.
