3 papers
physics.flu-dyn2019
The viscous Holmboe instability for smooth shear and density profiles
Jeremy P. Parker, Colm-cille P. Caulfield, Rich R. Kerswell
The Holmboe wave instability is one of the classic examples of a stratified shear instability, usually explained as the result of a resonance between a gravity wave and a vorticity…
physics.flu-dyn2019
Kelvin-Helmholtz billows above Richardson number
J. P. Parker, C. P. Caulfield, R. R. Kerswell
We study the dynamical system of a forced stratified mixing layer at finite Reynolds number , and Prandtl number . We consider a hyperbolic tangent background velocity pr…
physics.flu-dyn2019
Koopman analysis of isolated fronts and solitons
Jeremy Parker, Jacob Page
A Koopman decomposition of a complex system leads to a representation in which nonlinear dynamics appear to be linear. The existence of a linear framework with which to analyse non…