Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-10T05:41:12.391Z Has data issue: false hasContentIssue false
  • English
  • Français

Gravity waves in a circular well

Published online by Cambridge University Press:  25 June 2002

JOHN MILES
JOHN MILES
Affiliation:
Cecil H. and Ida M. Green Institute of Geophysics and Planetary Physics, University of California, San Diego, La Jolla, CA 92093-0225, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

The natural frequencies of gravity waves in a circular well that is bounded above by a free surface and below by a semi-infinite reservoir are approximated by neglecting the off-diagonal terms of the characteristic determinant (single-mode approximation) and invoking the known results for an aperture in a half-space (well of zero depth). A parallel argument yields the corresponding results for a two-dimensional well (a slot). Comparison with Molin's (2001) numerical results for a slot suggests that the error in the single-mode approximation is [lsim ] 1%.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 460 , 10 June 2002 , pp. 177 - 180
Copyright
© 2002 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.)