3 papers
physics.flu-dyn2026
Suppression of Rayleigh-Bénard convection and restratification by horizontal convection
Florian Rein, Stefan. G. Llewellyn Smith, William. R. Young
We investigate the competition between horizontal convection (HC) and Rayleigh-Bénard convection (RBC) in a fluid layer subject to a uniform destabilizing buoyancy flux at the bot…
physics.flu-dyn2025
Instability triggered by mixed convection in a thin fluid layer
Florian Rein, Keaton J. Burns, Stefan G. Llewellyn Smith +3
We investigate the convective stability of a thin, infinite fluid layer with a rectangular cross-section, subject to imposed heat fluxes at the top and bottom and fixed temperature…
math.CV2025
The Unified Transform Method: beyond circular or convex domains
Jesse J. Hulse, Loredana Lanzani, Stefan G. Llewellyn Smith +1
A new transform-based approach is presented that can be used to solve mixed boundary value problems for Laplace's equation in non-convex and other planar domains, specifically the…