Saved in:
Bibliographic Details
Main Authors: Crowe, Matthew N., Johnson, Edward R.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.07199
Tags: Add Tag
No Tags, Be the first to tag this record!
Table of Contents:
  • 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 background flow and complicated coastal topography. We use spectral methods to discretise the two-dimensional eigenvalue problem and solve the resulting discrete problem by standard methods. Our approach is applied to three examples and shown to be consistent with previous numerical and analytical results. In particular, we show that our method is able to reliably identify coastal-trapped wave solutions that correspond to waves seen in realistic simulations of the Southeast Greenland shelf.