Scattering of surface waves by a vertical truncated structured cylinder

Area of Science:

• Fluid dynamics
• Ocean engineering
• Wave theory

Background:

• Scattering of water waves by submerged structures is a complex phenomenon.
• Understanding wave interaction with structured bathymetry is crucial for coastal engineering and offshore structures.
• Existing models often simplify the complex internal geometry of such structures.

Purpose of the Study:

• To develop and validate a novel theoretical solution for wave scattering by a partially submerged circular cylinder with internal vertical barriers.
• To investigate the fluid dynamics within and around the structured cylinder using an effective medium approach.
• To explore the potential for resonant directional lensing effects in such devices.

Main Methods:

• Application of full depth-dependent linearized water wave theory.
• Utilizing an effective medium equation to model fluid motion within the cylinder.
• Implementing effective boundary conditions to couple internal and external fluid regions.
• Comparison with shallow water approximations and exact computations of discrete plates.

Main Results:

• The developed theory accurately models wave scattering by the structured cylinder.
• Comparison with existing methods validates the proposed effective medium approach.
• Demonstration of resonant directional lensing effects caused by the cylindrical plate array.
• The study highlights the device's capability to manipulate wave directionality.

Conclusions:

• The effective medium approach provides a powerful tool for analyzing wave interaction with complex submerged structures.
• The cylindrical plate array exhibits significant wave manipulation capabilities, including directional lensing.
• This research contributes novel solution methods for three-dimensional water wave interactions with structured bathymetry.