The problem considered in this paper is the derivation of properties of edge waves travelling along a submerged horizontal shelf. The problem is formulated within the framework of the linearized theory of water waves and Havelock expansions of water wave potentials are used in the mathematical analysis to obtain the dispersion relation for edge waves in terms of an integral. ; Appropriate multi-term Galerkin approximations involving ultra spherical Gegenbauer polynomials are utilized to obtain a very accurate numerical estimate for the integral and hence to derive the properties of edge waves over a shelf. The numerical results are illustrated in a table and curves are presented showing the variation of frequency of the edge waves with the width of the shelf.
Zielona Góra: Uniwersytet Zielonogórski
IJAME, volume 24, number 2 (2019)
Biblioteka Uniwersytetu Zielonogórskiego
Jul 6, 2023
Mar 2, 2023
59
https://zbc.uz.zgora.pl/publication/78296
Edition name | Date |
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Edge waves over a shelf | Jul 6, 2023 |
Dolai, P. Dolai, D.P. Jurczak, Paweł - red.
Dolai, Prity Dolai, D.P. Jurczak, Paweł - red.
Dolai, P. Jurczak, Paweł - red.
Dolai, Prity Jurczak, Paweł - red.
Ray, Swagata De, Soumen Mandal, B.N. Jurczak, Paweł - red.