This project seeks to develop the mathematical model and solution techniques for three-dimensional (3D) analytical hydrodynamic model for linear hydroelastic behavior of flexible floating structures for applications to floating breakwaters and wave energy conversions. The floating breakwater component of the concepts developed will be useful for protection of aquaculture installation offshore or wind energy devices for example.  The study will deal with the effect of structural damping (linear spring and dampers) and deformations (flexible modes) based on analytical solutions by applying Green's function technique based on Green's function (fundamental solutions of the source potentials). In order to check the uniqueness of the analytical solutions, radiation and specific boundary conditions will be employed in the formulation of the boundary value problem (BVP). Further, a robust numerical method based on boundary integral equation method (BIEM) using free surface Green's function will be developed for flexible floating structure with multi-mode motions and structural damping governed by 3D Laplace equation. The developed numerical model will be used to check the accuracy of the computational analytical results and then will validate with the existing numerical results available in the literature. The numerical method will be further generalized for different geometrical configuration of the structure (cylindrical). Models test will be performed to reproduce the experimental results in 3D wave basin in the hydrodynamic modeling laboratory at Madrid in Spain to optimize the model configuration for validation with analytical and numerical results. The concept of floating breakwater components and oscillating modules with flexible connectors by linear hydraulic power take-off (PTO) based on hydroelastic analysis of flexible floating structure associated with linear spring and dampers will be explored to improve the effectiveness of breakwater for specific applications and the capability for wave energy conversions. Further, the multi-mode motions of the flexible floating structures will be explored to widen the effectivity frequency range for wave attenuation (porous structure). While the research will be mainly based on the linear theory, efforts will be made to address some of the nonlinear wave effect on the hydroelastic response of flexible floating structures using the second-order theory.
Finally, the combined effect of wave energy analysis, hydroelastic behavior, and the level of protection by flexible floating structure will be analyzed to conclude the capability, effectivity, and reliability of model developed.