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A theory of the propagation of internal gravity waves of finite amplitude

Published online by Cambridge University Press:  29 March 2006

B. S. H. Rarity
B. S. H. Rarity
Affiliation:
Department of Mathematics, University of Manchester
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Abstract

A non-linear theory of internal gravity waves of finite amplitude is developed in terms of conservation equations averaged with respect to the phase. The theory overcomes the failure of linear ray theory in regions in which waves are trapped and establishes the conditions under which finite amplitude waves may propagate. It gives a geometrical representation of the degeneration of waves into quasi-turbulence and predicts the dependence of the energy density on its parameters.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 39 , Issue 3 , 27 November 1969 , pp. 497 - 509
Copyright
© 1969 Cambridge University Press

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References

Benjamin, T. B. 1967 Proc. Roy. Soc. Lond. A, 299, 59.
Mowbray, D. E. & Rarity, B. S. H. 1967 J. Fluid Mech. 28, 1.
Phillips, O. M. 1967 Proc. Roy. Soc. Lond. A, 299, 104.
Seliger, R. L. & Whitham, G. B. 1968 Proc. Roy. Soc. Lond. A, 305, 1.
Whitham, G. B. 1967 Proc. Roy. Soc. Lond. A, 299, 6.