Abstract
In this study, the problems of diffraction and radiation of water waves by a permeable vertical cylindrical body are formulated within the realm of the linear potential theory. The body, which is floating in constant water depth, is moored with a catenary mooring line system. The method of matched eigenfunction expansions for the prediction of the velocity potential in the fluid domain surrounding the body is applied. Furthermore, the static and dynamic characteristics of the mooring system are combined with the hydrodynamics of the body, to set up the coupled motion equations of the dynamical model, i.e., floater and mooring system, in the frequency domain. Numerical results obtained through the developed solution are presented. The results revealed that porosity plays a key role in reducing/controlling the exciting wave loads. As far as the mooring system is concerned, its quasi-static and dynamic characteristics, by employing several motion directions on the fairlead in accordance to varying environmental conditions, are examined, highlighting their effect on the body’s motions.
Highlights
Aarsnes et al [13] calculated the current forces on cage systems and the deformation of nets on the basis of net-panel discretization with line finite elements in the plane of symmetry
The numerical methods described above allow for the analysis of a great number of geometrical configurations of a permeable floating cylindrical body
Frequency analysis formulation was applied for the investigation of the effect of the porous parameter on the body’s hydrodynamics
Summary
Permeable floating structures have been widely applied by the marine sector to reduce the effect of incoming waves and to protect marine structures against the wave action, as they use their porous surface to decrease the transmission and reflection of wave heights They become preferable to impermeable structures, due to their porosity, for applications such as harbor and shore protection [1–4]. Bao et al [20] applied a complicated dispersion equation for the evaluation of the eigenvalues of the fluid domain inside a semi-submerged porous circular cylinder. They derived an additional damping term created by the porosity
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