Abstract
Abstract This paper presents a linear solution for the interaction of tsunamis with coastal defence structures. The solitary wave is considered a valid representation of the tsunami; using the Fourier analysis, the harmonic components of the solitary wave are obtained. These harmonic components are propagated through (a) a permeable breakwater of rectangular cross section, using the wave plane criteria of Dalrymple et al. [Reflection and transmission from porous structures under oblique wave attack. J Fluid Mech 1991;224:625–44] and (b) permeable and impermeable submerged breakwaters, using the mild slope equation of Losada et al. [Interaction of non-breaking directional random waves with submerged breakwaters Coastal Engng 1996;28:249–66]. The reflection and transmission coefficients are evaluated using the inverse Fourier transform. The theoretical results show a good agreement with experimental data, while the limitations of the model are its linear character and the fact that is does not take into consideration wave breaking.
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