NDLI: Scattering of water waves by a submerged disc using a hypersingular integral equation

Content Provider	Semantic Scholar
Author	Farina, Leandro Martin, P. A.
Copyright Year	1998
Abstract	The three-dimensional interaction between water waves and a submerged disc, in deep water, is considered. The problem is reduced to a hypersingular integral equation over the surface of the disc. The integral equation is solved numerically using an expansion-collocation method, generalizing a method used previously by Parsons and Martin for several two-dimensional water-wave problems. This method is shown to be very effective: it incorporates the known behaviour near the edge of the disc and it permits all hypersingular (finite-part) inegrals to be evaluated analytically. Numerical results are presented, with emphasis on the scattering properties of the submerged disc.
Starting Page	121
Ending Page	134
Page Count	14
File Format	PDF HTM / HTML
DOI	10.1016/S0141-1187(97)00039-4
Volume Number	20
Alternate Webpage(s)	http://inside.mines.edu/~pamartin/ref-paps/R052c_AORw.pdf
Alternate Webpage(s)	https://doi.org/10.1016/S0141-1187%2897%2900039-4
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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