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Generation of internal undular bores by transcritical flow over topography

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posted on 2006-01-27, 11:32 authored by Roger Grimshaw, D.H. Zhang, K.W. Chow
In 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.

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School

  • Science

Department

  • Mathematical Sciences

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1668372 bytes

Publication date

2006

Notes

This is a pre-print.

Language

  • en

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