06-04.pdf (1.59 MB)
Generation of internal undular bores by transcritical flow over topography
preprint
posted on 2006-01-27, 11:32 authored by Roger Grimshaw, D.H. Zhang, K.W. ChowIn both the ocean and the atmosphere, the interaction of a density stratified flow
with topography can generate large-amplitude, horizontally propagating internal
solitary waves. Often these waves appear as a wave-train, or undular bore. In this
article we focus on the situation when the flow is critical, that is, the flow speed
is close to that of a linear long wave mode. In the weakly nonlinear regime, this
is modeled by the forced Korteweg de Vries equation. We will demonstrate how
Whitham’s modulation theory may be applied to obtain an analytical description
of undular bores, for flow over isolated obstacles and for flow over a step.
History
School
- Science
Department
- Mathematical Sciences
Pages
1668372 bytesPublication date
2006Notes
This is a pre-print.Language
- en