Hamiltonian Boussinesq Simulation of Wave-Body Interaction Above Sloping Bottom

Abstract

This paper describes a numerical implementation of a Hamiltonian Boussinesq wave-body interaction for irrotational flow as formulated in van Groesen and Andonowati (2017), with a restriction of one horizontal coordinate and a cross section of the body. Part of the HAWASSI (Hamiltonian Wave-Ship-Structure Interaction) software we developed allows for numerical discretisation of the surface waves using spectral methods. Non-smooth effects from the body-fluid interaction are included in the design of a virtual wave in the body area, which is determined by the boundary conditions on the body hull. Except for a comparison with standard cases in the literature, the performance of the code is shown by comparison with measurements of an experiment on the slow-drift motion of a rectangular barge moored above a sloping beach and interacting with irregular waves, in the barge beam direction, including the infra-gravity waves from the runup on the shore.