4 papers
Spectral Methods for Coastal-Trapped Waves and Instabilities in a Background Flow
Matthew N. Crowe, Edward R. Johnson
Here we present a numerical method for finding non-hydrostatic coastal-trapped wave and instability solutions to the non-hydrostatic Boussinesq equations in the presence of a backg…
Modon solutions in an N-layer quasi-geostrophic model
Matthew N. Crowe, Edward R. Johnson
Modons, or dipolar vortices, are common and long-lived features of the upper ocean, consisting of a pair of monopolar vortices moving through self-advection. Such structures remain…
Attached and separated rotating flow over a finite height ridge
Stefan Frei, Erik Burman, Edward R Johnson
This paper discusses the effect of rotation on the boundary layer in high Reynolds number flow over a ridge using a numerical method based on stabilised finite elements that captur…
Existence of eigenvalues of a linear operator pencil in a curved waveguide -- localized shelf waves on a curved coast
E R Johnson, Michael Levitin, Leonid Parnovski
The study of the possibility of existence of the non-propagating, trapped continental shelf waves (CSWs)along curved coasts reduces mathematically to a spectral problem for a self-…