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arXiv · 2504.11892

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

Aaron Brunk·Ansgar Jüngel·Maria Lukáčová-Medvid'ová
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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.

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Aaron Brunk, Ansgar Jüngel, Maria Lukáčová-Medvid'ová. 2025-04-16. A structure-preserving numerical method for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems. https://doi.org/10.1007/s10915-026-03201-2

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