Excitation of trapped modes by the forced motion of structures

In the context of the linearised water-wave problem it is known that there are certain structures that support trapped modes. These modes exist in the presence of the fixed structure and are free oscillations of the fluid that do not radiate energy to infinity. Here the consequences of the existence of such modes are investigated. In particular, numerical and asymptotic methods are used in the time domain to show how trapped modes can be excited by the forced motion of a structure.