Abstract: In this paper, an analytical solution for linear long-wave reflection by an obstacle of general trapezoidal shape is explored. A closed-form expression in terms of first and second kinds of Bessel functions is obtained for ...

Abstract: In this paper, we study the scattering and trapping of wave energy by a submerged truncated paraboloidal shoal. The analytical approach of Liu et al. in 2004 for solving wave amplification around a circular island mounted ...

Abstract: This study investigated the wave reflection and transmission caused by a single bar or trench with a cycloidal cross section. An exact solution was constructed, in terms of the Frobenius series, to the modified mild-slope ...

Abstract: In this paper, linear long-wave reflection by a rectangular obstacle with two scour trenches of power function profile is explored. A closed-form analytical solution in terms of the first and second kinds of Bessel functions ...