The consistent second-order theory of wave/structure interaction
Garrison, Clarence Jimmy
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The consistent second-order theory of the interaction of regular gravity waves with a fixed object in water of finite depth is developed. The theory is carried out for the most general case of a body of arbitrary shape which may extend through the free-surface or be completely immersed. The incident wave evolves in the development as a second-order Stokes' wave. Boundary-value problems are established for both the first- and second-order velocity potentials and a numerical method based on the Green's function is outlined. The determination of forces exerted by gravity waves on large structures immersed in the sea has become of great practical interest in recent years. for example, in the design of bottom-mounted oil storage facilities or large ocean caissons, the wave-induced horizontal and up-lift forces and overturning moments are factors of primary importance. The effect of large amplitude waves in particular is of importance in the determination of the permanence of an ocean structure and, therefore, a higher-order theory appears to have significant practical value. For example, Apelt and Macknight (1976) found measured forces on a ocean caisson model in fairly large-amplitude shallow-water waves to be considerably in excess of calculations based on linear diffraction theory
NPS Report NumberNPS-69-79-010
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