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Unsteady waves on an open two layer fluid

Published online by Cambridge University Press:  17 February 2009

P. W. Sharp
P. W. Sharp
Affiliation:
Departement of Mathematics, University of Canterbury, Christchrch 1, New Zealand. Present address: Department of Computer Science, University of Toronto, Toronto, Canada M5S 1A4.
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Abstract

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The evolution of small amplitude waves on an open two layer fluid is investigated. The spatially periodic surface and interface displacements are represented as Fourier series with time dependent coefficients, for which evolution equations with all significant quadratic interactions included, are derived. Solutions to these equations are found analytically for a small number of harmonics, and numerically for a larger number of harmonics. Two numerical solutions are given to illustrate the evolution properties.

Type
Research Article
Information
The ANZIAM Journal , Volume 26 , Issue 2 , October 1984 , pp. 183 - 199
Copyright
Copyright © Australian Mathematical Society 1984

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