Long Wave Trapping by Axisymmetric Topographies
Long Wave Trapping by Axisymmetric Topographies
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DOI：
10.1007/978-94-009-1433-9_18
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发表时间：
1988
期刊：
影响因子：
--
通讯作者：
R. Shaw;W. Neu
中科院分区：
文献类型：
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作者：
R. Shaw;W. Neu
Two forms of a solution for long wave resonasnce on axisymmetric topographies where the depth is proportional to rβfor 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 ifβ > 2.
