The diffraction of Kelvin wave due to an island

Abdel-Hafz, A. M.; Essawy, A. H.; Moubark, Mohamed

doi:10.1016/s0377-0427(97)00097-6

Journal of Computational and Applied Mathematics

1997

DOI: 10.1016/s0377-0427(97)00097-6

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The diffraction of Kelvin wave due to an island

A. M. Abdel-Hafz

A. H. Essawy

Mohamed Moubark

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Cited by 2 publications

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On the diffraction of Poincaré waves

Martin

2001

Math Methods in App Sciences

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The diffraction of tidal waves (Poincaré waves) by islands and barriers on water of constant finite depth is governed by the two‐dimensional Helmholtz equation. One effect of the Earth's rotation is to complicate the boundary condition on rigid boundaries: a linear combination of the normal and tangential derivatives is prescribed. (This would be an oblique derivative if the coefficients were real.) Corresponding boundary‐value problems are treated here using layer potentials, generalizing the usual approach for the standard exterior boundary‐value problems of acoustics. Singular integral equations are obtained for islands (scatterers with non‐empty interiors) whereas hypersingular integral equations are obtained for thin barriers. Copyright © 2001 John Wiley & Sons, Ltd.

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On the diffraction of Poincaré waves

Martin

2001

Math Methods in App Sciences

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Tidal diffraction by a small island or cape, and tidal power from a coastal barrier

Mei

2020

J. Fluid Mech.

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The diffraction of Kelvin wave due to an island

Cited by 2 publications

References 4 publications

On the diffraction of Poincaré waves

On the diffraction of Poincaré waves

Tidal diffraction by a small island or cape, and tidal power from a coastal barrier

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