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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
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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

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