A Structure-Preserving Numerical Method for Quasi-Incompressible Navier–Stokes–Maxwell–Stefan systems
Abstract
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.
Fields of Study & Subjects
Advanced Numerical Methods in Computational Mathematics
Advanced Mathematical Modeling in Engineering
Electromagnetic Simulation and Numerical Methods
Publication details
- Journal / source
- Journal of Scientific Computing
- Volume
- 106
- Issue
- 3
- Publication date
- 2 February 2026
- Language
- EN