Perturbation Methods in Diffraction

by John V. Wehausen,


Serial Information: Journal of the Waterway Port Coastal and Ocean Division, 1980, Vol. 106, Issue 2, Pg. 290-291


Document Type: Journal Paper

Closure: (See full record)

Abstract: In a technical note by Isaacson it is asserted that the usual perturbation method for approximating solutions to water-wave problems in the presence of solid boundaries brakes down at the second order in the case of a vertical circular cylinder because of an alleged inconsistency. I should like to suggest that the calculations leading up to this conclusion, although formally correct, have been misinterpreted. Indeed, the same inconsistency occurs in the first-order problem with an indeed, the same inconsistency occurs in the first-order problem with an imposed pressure distribution and in certain two-dimensional problems as well.

Subject Headings: Professional societies | Pressure distribution | Water waves | Solid mechanics | Domain boundary | Case studies | Cylinders

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