Water waves within a porous medium on an undulating bed |
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| Institution: | 1. School of Mathematical and Physical Sciences, The University of Newcastle, Callaghan 2308, Australia;2. School of Mathematical Sciences, University of Adelaide, Adelaide 5005, Australia;3. Institute of Mathematics, University of Augsburg, 86135 Augsburg, Germany;4. Augsburg Centre for Innovative Technologies, University of Augsburg, 86135 Augsburg, Germany |
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| Abstract: | Water wave refraction–diffraction within a porous medium on an undulating seabed is considered based on linear wave theory. Using the model of wave-induced flow within a porous medium and Galerkin eigenfunction expansions, refraction–diffraction equations for surface waves are derived. With these equations, the wave reflection from a porous structure on a sloping beach is investigated and numerical results of reflection coefficients are obtained. A comparison between the present results with those in the literature is made for a special case and the agreement is satisfactory. This structure can be viewed as an idealized model of rubble-mound seawalls along coastlines. |
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