Abstract

This paper describes a numerical implementation of Hamiltonian Boussinesq Wave-Ship interaction as formulated in van Groesen and Andonowati (2017) for irrotational flow, restricting to one horizontal coordinate and a cross section of the ship. As part of the HAWASSIsoftware, the numerical discretisation of the surface waves uses spectral methods. Non-smooth effects from the ship-fluid interaction are included in the design of a virtual wave in the ship area that is determined by the boundary conditions on the ship hull.

Except for comparison with standard cases in the literature, the performance of the code is shown in the following 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 barge beam direction, including the infra gravity waves from the run-up on the shore.

INTRODUCTION

This paper describes a numerical implementation of Hamiltonian Boussinesq Wave-Ship interaction for irrotational flow. In this paper, we restrict to one horizontal coordinate and a cross section of the ship.

Restricting to potential flows, the fluid dynamics is described with surface variables only: the surface elevation and the potential at the surface. To obtain explicit expressions, many so-called Boussinesq approximations have been developed. A subclass are approximations based on the Hamiltonian formulation described by Zakharov (1968) and independently Broer (1974). Taking an analytic or numerical approximation of the cumbersome kinetic energy in the Hamiltonian leads directly to the approximate equations for numerical codes, i.e West et al. (1987), HOS (Ducrozet et al., 2007, 2012)

Fully interaction of wave and floating or fixed structure is often modelled using CFD either mesh or mesh-free based solver that costs very long computation time, ie. Khayyer et al, 2021. For practical use, CFD solver often uses incident waves from a potential wave kinematic solver for wave generation to make CFD domain smaller and then shorter computation time, see Bouscasse et al. 2020.

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