标题： 保持结构的准不可压缩Navier-Stokes-Maxwell-Stefan系统的数值方法 显示英文标题

标题： A structure-preserving numerical method for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems

摘要： 一种适用于有界域中具有周期性边界条件的准不可压缩Navier-Stokes-Maxwell-Stefan系统的符合有限元方案，采用混合显式-隐式时间离散化方法。该系统包括Navier-Stokes方程，以及与之耦合的准不可压缩约束，还有交叉扩散的Maxwell-Stefan方程。数值方案保持部分质量及准不可压缩约束，并耗散离散能量。二维空间中的数值实验说明了该方案的收敛性及结构保持特性。 显示英文摘要

摘要： A conforming finite element scheme with mixed explicit-implicit time discretization for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems in a bounded domain with periodic boundary conditions is presented. The system consists of the Navier-Stokes equations, together with a quasi-incompressibility constraint, coupled with the cross-diffusion Maxwell-Stefan equations. The numerical scheme preserves the partial masses and the quasi-incompressibility constraint and dissipates the discrete energy. Numerical experiments in two space dimensions illustrate the convergence of the scheme and the structure-preserving properties.