A two-layer model for linear stability analysis of shelf-slope currents.

Abstract

A method for obtaining the normal mode solution of a linear two-layer system over sloping topography has been derived and implemented, providing a basic tool for analysing the disper- sion relation and modal structure of stable and unstable baroclinic shelf waves. Model results are compared with analytical solutions for a step-shelf profile with no background flow and a linearly sloping channel with flow in both layers. A case study for the West Spitsbergen Shelf topography is also presented.