The solution of the second-order interaction problem between monochromatic and bi-chrornatic waves and isolated or interacting bodies has attracted the attention of many researchers especially in the past two decades. Given the fact that the second-order potential theory allows the understanding of the fundamentals of the nonlinear impacts such as the double frequeney hydrodynamic loading and the wave run-up on floating structures, it was inevitable for the global research community to search efficient solution methodologies for treating the second-order diffraction and radiation problems. Although the Problem for solving the second-order diffraction -Potential for uniform and truncated axisymmetric bodies is well treated in the literature, there is a lack of information for complex structures like compound cylinders. The present paper constitutes a contribution in this direction. The subject of investigation is a two- part floating compound cylinder piercing the free surface. The main challenge that must be treated in the specific configuration is that the inhomogeneous boundary condition should be satisfied in two fluid regions. The second-order diffraction potentials should be subsequently matched along the boundaries of the fluid regions defined by the geometry of the structure. Our solution method here is based on the semi-analytieal expansion formulation proposed by Huang, J.B.; Eatock Taylor R.(1996; Semi-analytical solution for second-order wave diffraction by a truncated circular cylinder in monochromatic waves, J. Fluid Mechanics 319, pp. 171-196) extended for representing the second-order diffraction Potential in the fluid annulus that is located between the small and the large diameter of the two-part axisymmetric body.
Semi-analytical formulation of the second-order wave diffraction by a truncated-compound surface-piercing cylinder
Halbanalytische Formulierung der Wellenbrechung zweiter Ordnung durch einen abgeschnittenen, die Oberfläche durchdringenden, Verbundzylinder
Ship Technology Research / Schiffstechnik ; 53 , 1 ; 26-38
2006
13 Seiten, 13 Bilder, 25 Quellen
Aufsatz (Zeitschrift)
Englisch
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