ENSTROPHY-STABLE INTEGRATORS FOR THE INCOMPRESSIBLE NAVIER–STOKES EQUATIONS ON UNDER-RESOLVED MESHES

Boris Andrews | Matin Shams

In preparation (Draft available on request)

(Details available soon!)

RELATED WORKS

This represents a particularly exciting application of my earlier work with Patrick Farrell, on general constructions for conservative and dissipative finite element integrators, using the ideas to help in stabilisation efforts at high Reynolds numbers.

RELATED OPEN PROBLEMS

Problem	Reward
Stable reduced order models from the auxiliary variable framework	★☆☆☆☆

CO-AUTHORS

Matin Shams

• Affiliation | University of Oxford
• Joint publications | Enstrophy-stable integrators for the incompressible Navier–Stokes equations on under-resolved meshes*

TALKS

2025

• Numerical Analysis Group internal seminar, University of Oxford
• ACOMEN, Ghent University & University of Liège
• ECCOMAS Thematic Conference on Modern Finite Element Technologies (MFET), Aachen, Germany
⬆️ UPCOMING ⬆️