Abstract
Problems concerning the interaction of water waves with a rigid plate of finite width and infinite length lying in the free surface have a long history. Such problems are interesting for many reasons. First the simple geometry allows considerable mathematical progress to be made and thus dock problems can be used as model problems against which to test new techniques or numerical results. Secondly they can be used as the first approximation in a perturbation analysis of wave interactions with shallow-draft ships.
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References
Mei, C C and Black, J L (1969) Scattering of surf ace waves by rectangular obstacles in waters of finite depth, J. Fluid Mech. 38, 499–511.
Wigley, N M (1964) Asymptotic expansions at a corner of solutions of mixed boundary value problems, J. Math. Mech., 13, 549–576.
Mittra, R, Lee, S W and Van Blaricum, G F (1968) A modified residue calculus technique, Int. J. Eng. Sci. 6, 395–408.
Jones, D S (1994) Methods in Electromagnetic Wave Propagation, 2nd edition, Oxford: Clarendon Press.
Mittra, R and Lee, S W (1971) Analytical Techniques in the Theory of Guided Waves, New York: Macmillan.
Martin, P A and Dalrymple, R A(1988) Scattering of long waves by cylindrical obstacles and gratings using matched asymptotic expansions, J. Fluid Mech. 188, 465–490.
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© 2002 Springer Science+Business Media Dordrecht
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Linton, C.M. (2002). The Finite Dock Problem. In: Abrahams, I.D., Martin, P.A., Simon, M.J. (eds) IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity. Fluid Mechanics and Its Applications, vol 68. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0087-0_5
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DOI: https://doi.org/10.1007/978-94-017-0087-0_5
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