Abstract
Two forms of a solution for long wave resonasnce on axisymmetric topographies where the depth is proportional to rβ for arbitrary β are presented. One form gives the surface elevation in terms of Bessel functions while the other is in terms of confluent hypergeometric functions. The behavior of the solution is found to differ according as β is greater than or less than 2. For β > 2, trapping is possible, however, since the surrounding ocean is taken as constant depth, all modes must leak energy to infinity and decay with time. Detailed numerical results are presented for β = 1 and β = 3. It is found that large amplitude oscillations may be excited by a passing tsunami if β > 2.
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© 1988 D. Reidel Publishing Company
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Shaw, R.P., Neu, W.L. (1988). Long Wave Trapping by Axisymmetric Topographies. In: El-Sabh, M.I., Murty, T.S. (eds) Natural and Man-Made Hazards. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1433-9_18
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DOI: https://doi.org/10.1007/978-94-009-1433-9_18
Publisher Name: Springer, Dordrecht
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