Hydrodynamics of a floating body near a vertical wall is of interest in the field of coastal and offshore engineering. One reason for the need to understand this class of hydrodynamics is that lot of efforts have been devoted to developing the floating types of wave energy converters (WECs) that operate in nearshore or coastal zones from the purpose of reducing the emission of greenhouse gas. The other reason is that marine structures such as liquefied natural gas (LNG) shuttle carriers and very large floating structures (VLFS) are deployed near wharves or quay piers.
Rim Un Ryong, a researcher at the Faculty of Naval Architecture and Ocean Engineering, has studied the oscillating motion of an arbitrarily-shaped floating structure near a vertical wall under a linear wave by using a numerical method (i.e. BEM) with an exact NtD boundary condition.
His study results can be adopted to predict the motion responses and wave forces of an arbitrarily-shaped floating body in front of a vertical breakwater under a linear incident wave.
You can find details in his paper “Hydrodynamic Interaction Between a Linear Water Wave and a Floating Structure Near a Vertical Wall by Using an Exact Neumann-to-Dirichlet (NtD) Boundary Condition” in “Journal of The Institution of Engineers” (EI).