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A finite-element method for inertial waves in a frustum

Published online by Cambridge University Press:  26 April 2006

Gary A. Henderson  and
Keith D. Aldridge
Gary A. Henderson
Affiliation:
Centre for Research in Earth and Space Science, York University, 4700 Keele Street, North York, Ontario M3J 1P3, Canada
Keith D. Aldridge
Affiliation:
Centre for Research in Earth and Space Science, York University, 4700 Keele Street, North York, Ontario M3J 1P3, Canada
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Abstract

A finite-element method has been developed to model inertial waves in a frustum of a cone, since analytical methods have proved inadequate. The governing Poincaré problem is posed as a variational principle and approximate eigensolutions are computed. The numerical results are used to complete the interpretation of the experimental results of Beardsley (1970) for a frustum of a cone. The significant role played by characteristic surfaces partly explains the enigmatic nature of the ill-posed boundary-value problem that describes inertial wave resonances.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 234 , January 1992 , pp. 317 - 327
Copyright
© 1992 Cambridge University Press

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