Transcritical flow past an obstacle

Authors

  • Roger Grimshaw

DOI:

https://doi.org/10.21914/anziamj.v52i0.4145

Keywords:

solitary waves, transcritical flow, undular bore

Abstract

It is well known that transcritical flow past an obstacle may generate undular bores propagating away from the obstacle. This flow has been successfully modelled in the framework of the forced Korteweg–de Vries equation, where numerical simulations and asymptotic analyses have shown that the unsteady undular bores are connected by a locally steady solution over the obstacle. In this paper we present an overview of the underlying theory, together with some recent work on the case where the obstacle has a large width. doi:10.1017/S1446181111000599

Published

2011-05-09

Issue

Section

Articles for Printed Issues