Abstract
This study investigates the effect of an orthogonal-shaped reflecting breakwater on the hydrodynamic characteristics of a vertical cylindrical body. The reflecting walls are placed behind the body, which can be conceived as a floater for wave energy absorption. Linear potential theory is assumed, and the associated diffraction and motion radiation problems are solved in the frequency domain. Axisymmetric eigenfunction expansions of the velocity potential are introduced into properly defined ring-shaped fluid regions surrounding the floater. The hydrodynamic interaction phenomena between the body and the adjacent breakwaters are exactly taken into account by using the method of images. Results are presented and discussed concerning the exciting wave forces on the floater and its hydrodynamic coefficients, concluding that the hydrodynamics of a vertical cylindrical body in front of an orthogonally shaped breakwater differ from those in unbounded waters.
Highlights
Coastal environments are the most economically important and intensely used among all areas inhabited by humans [1]
This work is structured as follows: Section 2 describes the applied image method to simulate the effect of the orthogonal breakwater on the floater; Section 3 formulates the diffraction and motion radiation problems, while Section 4 presents the calculation of the hydrodynamic forces on the vertical cylindrical floater based on the image method
The problem under investigation is equivalent to the one of an array of four floaters consisting of the initial and its image bodies with respect to the two walls that are exposed to the action of surface waves without the presence of the vertical walls
Summary
Coastal environments are the most economically important and intensely used among all areas inhabited by humans [1]. The V-shaped arrangements of floaters have been presented in [41,42,43], integrated with Oscillating Water Column devices in the outer and inner area of the formed corner, whereas, in [44,45], a sea-bottom-fixed vertical cylinder in front of two orthogonal walls was studied in terms of its horizontal hydrodynamic forces. The numerous presented results in the form of figures, indicate the significant effect of the reflecting waves from the two walls on the floater’s hydrodynamics The latter are compared with the corresponding hydrodynamic forces on an isolated. This work is structured as follows: Section 2 describes the applied image method to simulate the effect of the orthogonal breakwater on the floater; Section 3 formulates the diffraction and motion radiation problems, while Section 4 presents the calculation of the hydrodynamic forces on the vertical cylindrical floater based on the image method.
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