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M.K. Darwiche

Bio: M.K. Darwiche is an academic researcher from University of Houston. The author has contributed to research in topics: Mathieu function & Scattering. The author has an hindex of 1, co-authored 1 publications receiving 21 citations.

Papers
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TL;DR: In this paper, the diffraction of small-amplitude surface waves by floating and submerged stationary elliptical breakwaters in water of arbitrary uniform depth is investigated analytically, and the theoretical formulation leads to solutions for the fluid velocity potential in terms of series of Mathieu and modified Mathieu functions of real argument.

22 citations


Cited by
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TL;DR: In this paper, the behavior of a flexible, floating breakwater consisting of a moored, compliant, beam-like structure anchored to the seabed and possessing a small buoyancy chamber at the tip was investigated.
Abstract: This study investigated the behavior of a flexible, floating breakwater consisting of a moored, compliant, beam-like structure anchored to the seabed and possessing a small buoyancy chamber at the tip. The fluid domain is treated utilizing the boundary integral equation method, modifications have been made to the basic formulation to account for the zero thickness of the idealized structure. The dynamic behavior of the breakwater is described through an appropriate Green's function and the coupled fluid-structure system is then solved numerically. Example results have been presented which illlustrate the effects of the various waves and structural parameters on the efficiency of the breakwater as a barrier to wave action. It was found that for typical wave conditions relatively stiff structures are required in order to obtain high wave reflection coefficients.

50 citations

Journal ArticleDOI
TL;DR: In this paper, a semi-analytical solution methodology for the linear hydrodynamic diffraction induced by arrays of elliptical cylinders subjected to incident waves is presented, where the solution of the Laplace equation in elliptic coordinates for both the incident and the diffracted waves is formulated analytically in terms of the even and odd periodic and radial Mathieu functions.

43 citations

Journal ArticleDOI
TL;DR: In this paper, an analytic solution for the total velocity potential for an arbitrary body of the array and accordingly, to express the hydrodynamic pressure, the exciting forces and the wave elevation in compact analytic closed-form.

29 citations

Journal ArticleDOI
TL;DR: The diffraction of small-amplitude surface waves by a horizontally submerged disk of elliptic cross section located at a finite depth beneath the free surface is investigated analytically in this article.
Abstract: The diffraction of small-amplitude surface waves by a horizontally submerged disk of elliptic cross section located at a finite depth beneath the free surface is investigated analytically. The fluid domain is divided into three regions, two internal regions, one above and one beneath the disk, and an external region extending to infinity in the horizontal plane. The theoretical formulation leads to solutions for the fluid velocity potentials in each region in terms of series of Mathieu and modified Mathieu functions of real argument. Numerical results are presented for the wave-induced forces and moments, and the variation of water surface elevation in the vicinity of the disk for a range of wave and structural parameters. In particular, the results for the hydrodynamic loads show significant differences from the corresponding estimates for a circular disk, while the results for the water surface elevation clearly show the effect of wave focusing around the rear of the disk.

25 citations

Journal ArticleDOI
TL;DR: A second-order nonlinear theory for an array of curved flap-type wave energy converters (WECs) in open sea, excited by oblique incident waves is presented in this paper.

22 citations