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RISAnalytical Study of Linear Long-Wave Reflection by a Two-Dimensional Obstacle of General Trapezoidal Shape
Publisher: American Society of Civil Engineers
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 ...
Scattering and Trapping of Wave Energy by a Submerged Truncated Paraboloidal Shoal
Publisher: American Society of Civil Engineers
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 ...
Analytical Solution for Long-Wave Scattering by a Circular Island Mounted on a General Shoal
Publisher: American Society of Civil Engineers
Abstract: In this paper, an analytical solution is given in the form of a Taylor series for long-wave scattering by a cylindrical island mounted on a general shoal, where the water depth in the shoal region can be a real constant ...
Exact Solution to the Modified Mild-Slope Equation for Wave Scattering by a Cylinder with an Idealized Scour Pit
Publisher: American Society of Civil Engineers
Abstract: In this paper, wave scattering by a vertical cylinder with a scour pit governed by the modified mild-slope equation (MMSE) is studied analytically. The scour pit around the cylinder is assumed to be axi-symmetric and ...
Optimal Collocation of Three Kinds of Bragg Breakwaters for Bragg Resonant Reflection by Long Waves
Publisher: American Society of Civil Engineers
Abstract: It is well known that, for a series of submerged artificial bars uniformly distributed in the coastal region parallel to the coastline, if the wavelength of the incident wave train is twice that of the bar distance, Bragg ...
Analytical Modeling of the Wave Reflection by a Single Cycloidal Geotube or Trench Based on the Modified Mild-Slope Equation
Publisher: ASCE
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 ...
Analytical Solution for Long-Wave Reflection by a Rectangular Obstacle with Two Scour Trenches
Publisher: American Society of Civil Engineers
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 ...
Analytic Solution to the Modified Mild-Slope Equation for Reflection by a Rectangular Breakwater with Scour Trenches
Publisher: American Society of Civil Engineers
Abstract: In this paper, an analytic solution to the modified mild-slope equation (MMSE) for wave reflection by a submerged rectangular breakwater with two scour trenches is explored. Because of the use of the MMSE with effects of ...
Analytical Solution for Long-Wave Reflection by a General Breakwater or Trench with Curvilinear Slopes
Publisher: American Society of Civil Engineers
Abstract: In the first part of this paper, an exact analytical solution in closed form for linear long-wave reflection by a submerged idealized breakwater or trench with various curvilinear slopes is given. The solution obtained ...