Loughborough University
Browse
00-28.pdf (642.96 kB)

Models for instability in geophysical flows

Download (642.96 kB)
preprint
posted on 2006-02-06, 17:21 authored by Roger Grimshaw, Georg A. Gottwald
The generation of instability in inviscid, non-diffusive geophysical flows is generically caused by a resonance between two wave modes. The weakly nonlinear unfolding of this situation is described in the long-wave regime, using a particular two-layer quasi-geostrophic model as an illustrative example. The outcome is a system of two coupled Korteweg-de Vries equations. This system contains a very rich solution set, consisting typically of solitary wave interactions. We will describe some numerical solutions of the coupled Korteweg-de Vries equations, supplemented by perturbation analyses. We also report on some preliminary analogous numerical simulations of the full two-layer quasi-geostrophic system.

History

School

  • Science

Department

  • Mathematical Sciences

Pages

658393 bytes

Publication date

2000

Notes

This is a pre-print.

Language

  • en

Usage metrics

    Loughborough Publications

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC