Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-18T22:01:06.931Z Has data issue: false hasContentIssue false
  • English
  • Français

Trapped waves between submerged obstacles

Published online by Cambridge University Press:  07 June 2004

F. DIAS  and
J.-M. VANDEN-BROECK
F. DIAS
Affiliation:
Centre de Mathématiques et de Leurs Applications, Ecole Normale Supérieure de Cachan, 61 av Président Wilson, 94235 Cachan, France
J.-M. VANDEN-BROECK
Affiliation:
School of Mathematics, University of East Anglia, Norwich, UK
Get access Rights & Permissions [Opens in a new window]

Abstract

Free-surface flows past submerged obstacles in a channel are considered. The fluid is assumed to be inviscid and incompressible and the flow to be irrotational. In previous work involving a single obstacle (Dias & Vanden-Broeck 2002), new solutions called ‘generalized hydraulic falls’ were found. These solutions are characterized by a supercritical flow on one side of the obstacle and a train of waves on the other. However, in the case of a single submerged object, the generalized hydraulic falls are unphysical because the waves do not satisfy the radiation condition. In this paper new solutions for the flow past two obstacles of arbitrary shape are computed. These solutions are characterized by a train of waves ‘trapped’ between the obstacles. The generalized hydraulic falls are shown to describe locally the flow over one of the two obstacles when the distance between the two obstacles is large.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 509 , 25 June 2004 , pp. 93 - 102
Copyright
© 2004 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)