Wave-Current Interaction with a Large Structureby Michael Isaacson, Univ of British Columbia, Vancouver, BC, Canada,
Kwok Fai Cheung, Univ of British Columbia, Vancouver, BC, Canada,
Abstract: The effects of a current on the diffraction of regular waves around a three-dimensional body are examined by a time-domain method. The Froude number is assumed to be small so that the steady wave system associated with the current is insignificant. The boundary-value problem is used to establish a steady current problem with a rigid-wall condition applied at the still water level, and an unsteady wave problem with modified free surface boundary conditions to first order in wave amplitude accounting for the disturbed current field. This unsteady problem is solved by a time-stepping procedure, in which the field solution at each time step is obtained by an integral equation method based on Green's theorem. To illustrate the method, wave force and runup results are described for the reference case of a bottom-mounted, surface-piercing circular cylinder. The effects of the current are shown to be significant for the steady drift force and runup predictions.
Subject Headings: Water waves | Wave diffraction | Wave equations | Wave forces | Cylinders | Fluid-structure interaction | Surface waves | Integrals
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