Applied and Computational Mathematics Seminar

Seminar Details

Speaker:

Alexis Merigaud

Affiliation:

Maynooth University

Title:

From the wave spectrum to power output: statistical aspects and efficient computational tools

Time:

3PM Wednesday, 31 January, 2018

Location:

SCN 1.25, O'Brien Centre for Science (North)

Abstract

This presentation will consist of two short parts:

1. Most of the time in the power production regime of wave energy converters (WECs), the wave elevation can be described as a stationary, homogeneous Gaussian random field, if the temporal and spatial areas considered are "small enough" (~30 min, 1-2 km). In the light of the theory of discrete-time stochastic processes, we briefly discuss possible statistical representations of the wave elevation, when sampled at regular time intervals through a measurement system. We find that auto-regressive processes or the (more general) class of regular processes are two appropriate and useful descriptions. We then show how those two characterisations lead to short-term wave elevation prediction techniques.
2. Computationally-efficient simulation methods are useful for WEC optimisation or power assessment. Relying on a projection of the system variables and equations onto a Fourier basis, the harmonic balance (HB) method can be used to compute the steady-state response of a non-linear system subject to a periodic input signal. Applications of the technique to non-linear WEC simulation in irregular waves are shown.

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