Edge waves over a shelf

• Autorzy: Dolai P. , Dolai D. P.

Identyfikatory

DOI

10.2478/ijame-2019-0028

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

shelf; edge wave; Havelock expansion; Galerkin approximation; Gegenbauer polynomial; dispersion relation

PL

fala brzegowa; wielomian Gegenbauera; relacja dyspersji

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2019
• Tom: Vol. 24, no. 2
• Strony: 453--460
• Opis fizyczny: Bibliogr. 11 poz., tab., wykr.

Twórcy

autor

Dolai P.

• Department of Mathematics Prasannadeb Women's College Jalpaiguri-735101, West Bengal, INDIA

autor

Dolai D. P.

• River Research Institute, West Bengal Haringhata Central Laboratory Mohanpur, Nadia, Pin-741246, INDIA

Bibliografia

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