A structure-preserving numerical method for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems
Numerical Analysis
2026-02-05 v2 Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.2504.11892,
title = {A structure-preserving numerical method for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems},
author = {Aaron Brunk and Ansgar Jüngel and Maria Lukáčová-Medvid'ová},
journal= {arXiv preprint arXiv:2504.11892},
year = {2026}
}