Instructions

This simulation models laminar flow around a floating breakwater wave energy converter, assuming incompressible and non-viscous fluid.

Press 'ENTER' to toggle incident waves on-off.
Press 'SPACE' to toggle particle trace on-off.
Use 'UP' and 'DOWN' to control incident wave height.
Use 'LEFT' and 'RIGHT' to control wave period.

Mathematical Model

Component velocities for laminar flow around a stationary circular body can be calculated using:



To account for changing breakwater position, Equation 5 and Equation 6 were modified to give:



The Runge-Kutta Method (of fourth order) was used to numerically integrate the ordinary differential equations, allowing the velocity components to be varied with time. This was undertaken for both the x- and y- components and is described with:



Reference: Wolfram Alpha: Runge-Kutta Method

Source code: AR40445_JB2240_CW2

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