Abstract

In the present work, a Boussinesq-type numerical model is developed for the simulation of nonlinear wave-heaving cylinder interaction. The wave model is able to describe the propagation of fully dispersive and weakly nonlinear waves over any finite water depth. The wave-cylinder interaction is taken into account by solving simultaneously an elliptic equation that determines the pressure exerted by the fluid on the floating body. The heave motion for the partially immersed floating cylinder under the action of waves is obtained by solving numerically the body’s equation of motion in the z direction based on Newton’s law. The developed model is applied for the case of a fixed and a free-floating circular cylinder under the action of regular waves, as well as for a free-floating cylinder undergoing a forced motion in heave. Results (heave and surge exciting forces, heave motions, and wave elevation) are compared with those obtained using a frequency domain numerical model, which is based on the boundary integral equation method.

Highlights

  • Contemporary technological advances seek the efficient exploitation of the vast wave energy toward the transition of the European countries to a carbon-neutral energy future.the technology of wave energy converters (WECs) has been rapidly evolving during the last few years, with the aim of delivering commercially competitive solutions characterized by energy effectiveness, adequate structural integrity, and cost efficiency.Among the various types of WECs proposed or developed so far [1], heaving devices are considered nowadays one of the most advanced WEC technology [2].The design of heaving WECs relies heavily on the utilization of conventional, computationally efficient, linear numerical models for assessing the hydrodynamic behavior and, the power absorption ability of the device under the wave action in frequency or time domain

  • The first case considered a circular cylinder fixed at its position under the wave action and focused on the calculation of the surge and heave exciting forces applied on the body

  • Th is able to describe the propagation of any nonlinear wave or other sea surface dis at any finite water depth, while the wave-cylinder interaction was taken into ac

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Summary

Introduction

Contemporary technological advances seek the efficient exploitation of the vast wave energy toward the transition of the European countries to a carbon-neutral energy future. Nonlinear effects existing in the real physical problem may become important (e.g., at nearshore locations or at resonance conditions), and the deployment of nonlinear numerical models for simulating the interaction of the heaving device with the waves is required. Along these lines, Boussinesq-type numerical models accurately predicting nonlinear nearshore hydrodynamics could be utilized. Boussinesq-type numerical model with advanced features, developed for the simulation of nonlinear wave-heaving cylinder interaction. Following [14], the wave-cylinder interaction is taken into account by solving simultaneously an elliptic equation that determines the fluid pressure applied on the floating body.

Model Equations
The Pressure in the Interior Domain
Numerical Scheme
Floating Body Dynamics
Results and Discussion
Surge and Heave Exciting Forces on a Fixed Cylinder
Waves Generated by the Forced Heave Motion of a Free-Floating Cylinder
Heave Motion of a Cylinder under Regular Waves
Conclusions
Full Text
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