Oblique wave scattering by undulations on the bed of an ice-covered ocean

• Autorzy: Mandal B. N. , Maiti P.
• Języki publikacji: EN

Abstrakty

EN

The problem of oblique wave scattering by cylindrical undulations on the bed of an ice-covered ocean is investigated by using a simplified perturbation analysis. The first-order potential function satisfies a boundary value problem (BVP) which is solved by employing the Green integral theorem after constructing an appropriate Green function. Analytical expressions for the first-order reflection and transmission coefficients are then obtained from the solution of this BVP, in terms of the integrals involving the shape function describing undulations. Three particular forms of the shape function are considered for which the reflection and transmission coefficients up to the first-order are obtained exactly.

Słowa kluczowe

EN

boundary value problem; Green integral theorem; perturbation analysis; oblique wave; ice-covered ocean; cylindrical undulalations

PL

zagadnienie wartości brzegowych; twierdzenie Greena; analiza perturbacji; fala skośna; falowanie cylindryczne

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2004
• Tom: Vol. 56, nr 6
• Strony: 485--493
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Mandal B. N.

• Physics and Applied Mathematics Unit, Indian Statistical Institute, 203, B.T. Road, Kolkata 700 108, India

autor

Maiti P.

• Physics and Applied Mathematics Unit, Indian Statistical Institute, 203, B.T. Road, Kolkata 700 108, India

Bibliografia

• 1. A. Chakrabarti, On the solution of the problem of scattering of surface water waves by the edge of an ice-cover, Proc. R. Soc. Lond., A456, 1087–1099, 2000.
• 2. H. Chung and C. Fox, Calculation of wave-ice interaction using the Wiener–Hopf technique, New Zealand J. Math., 31, 1–18, 2002.
• 3. A.G. Davies, The reflection of wave energy by undulations in the seabed, Dyn. Atmos. Oceans, 6, 207–232, 1982.
• 4. D.V. Evans and R. Porter, Wave scattering by narrow cracks in ice sheets floating on water of finite depth, J. Fluid Mech., 484, 143–165, 2003.
• 5. R.V. Goldshtein and A.V. Marchenko, The diffraction of plane gravitational waves by the edge of an ice-cover, PMM USSR, 53, 731–736, 1989.
• 6. B.N. Mandal and U. Basu, A note on oblique water wave diffraction by a cylindrical deformation of the bottom in the presence of surface tension, Arch. Mech., 42, 723–727, 1990.
• 7. J.W. Miles, Oblique surface wave diffraction by a cylindrical obstacle, Dyn. Atmos. Oceans, 6, 121–123, 1981.