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Author

Boris D. Andrews

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Preprint Oct 2026

Structure-preserving discretisations for the quasi-incompressible, thermal Maxwell-Stefan equations

We study a thermal Maxwell-Stefan-Navier-Stokes system modelling miscible mixtures under a quasi-incompressibility constraint. The system consists of the conservation laws for mass and momentum, and the balance law for entropy, which is preferred over the balance law for energy because it facilitates the development of...

Boris D. Andrews, Aaron Baier-Reinio, Aaron Brunk et al. · 0 citations
Preprint Sep 2026

Strongly enstrophy-stable integrators for the incompressible Navier-Stokes equations

We propose a mixed finite element discretisation for the incompressible Navier-Stokes equations that preserves the evolution laws of both energy and enstrophy, in a stronger sense than previous discretisations. In two dimensions, the evolution law for enstrophy only permits dissipation for thermodynamically isolated sy...

Boris D. Andrews, Matin Shams, Patrick E. Farrell · 0 citations

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