Special Session 120: Mixtures: Modeling, analysis and computing

Multicomponent flow in domains with moving boundary: discretizations and numerical simulations
Lenka Ko\\v{s}\\'{a}rkov\\'{a}
Charles University
Czech Rep
Co-Author(s):    Jaroslav Hron, Patrick Farrell
Abstract:
We consider a multicomponent flow in which diffusion is described either by Fick`s law or by the Stefan-Maxwell equations, where the latter one also allows to capture cross-diffusive effects. We account for the motion of the domain and reformulate the equations in the Arbitrary Lagrangian-Eulerian framework. We then discuss various discretizations of the governing equations under different boundary conditions and present numerical simulations of the system in some simplified settings.