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math.NA2026
Strongly enstrophy-stable integrators for the incompressible Navier-Stokes equations
Boris D. Andrews, Matin Shams, Patrick E. Farrell
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…
physics.flu-dyn2026
A thermodynamically consistent Johnson-Segalman-Giesekus model: numerical simulation of the rod climbing effect
Jakub Cach, Patrick E. Farrell, Josef Málek +1
Viscoelastic rate-type fluids represent a popular class of non-Newtonian fluid models due to their ability to describe phenomena such as stress relaxation, non-linear creep, and no…