Scattering of Oblique Water Waves by Two Unequal Surface-Piercing Vertical Thin Plates with Stepped Bottom Topography
Based on linear water-wave theory, this study investigated the scattering of oblique incident water waves by two unequal surface-piercing thin vertical rigid plates with stepped bottom topography. By using the matched eigenfunction expansion method and a least square approach, the analytical solutions are sought for the established boundary value problem. The effects of the incidence angle, location of step, depth ratio of deep to shallow waters, and column width between two plates, on the reflection coefficients, the horizontal wave forces acting on the two plates, and the mean surface elevation between the two plates, are numerically examined under a variety of wave conditions. The results show that the existence of the stepped bottom between two plates considerably impacts the hydrodynamic performances of the present system. It is found that the effect of stepped bottom on the reflection coefficient of the present two-plate structure is evident only with waves of the low dimensionless frequency. Moreover, the influence of the step location on the hydrodynamic performance of the present two-plate structure is slight if the step is placed in between the two plates.
Key wordsstepped bottom topography two unequal thin vertical rigid plates oblique water waves reflection coefficient wave force
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- Evans, D.V. and Porter, R., 1997. Complementary methods for scattering by thin barriers, in: Mandal, B.N. (ed.), International Series on Advances in Fluid Mechanics, Computational Mechanics Publications, Southampton, pp. 1–43.Google Scholar
- Liu, P.L.F. and Abbaspour, M., 1982. Wave scattering by a rigid thin barrier, Journal of the Waterway, Port, Coastal and Ocean Division, 108(4), 479–491.Google Scholar
- Wiegel, R.L., 1960. Transmission of waves past a rigid vertical thin barrier, Journal of the Waterways and Harbors Division, 86(1), 1–12.Google Scholar