Surface profile prediction from bottom pressure measurements with application to marine current generators
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Accepted version
Date
2019-09-01
Authors
Compelli, Alan
Henry, David
Thomas, Gareth P.
Journal Title
Journal ISSN
Volume Title
Publisher
European Wave and Tidal Energy Conference (EWTEC)
Published Version
Abstract
A knowledge of wave kinematics is requisite for most aspects of marine engineering, yet still relatively little is known in the context of wave-current interactions. There is a requirement for wavepower applications to predict the wavefield at a Wave Energy Converter (WEC), particularly for the application of control algorithms. For marine current generators a similar requirement arises. The modelling of wave-current interactions possesses a rich history, yet the presence of vorticity immediately introduces major mathematical complications into modelling considerations. Improving our understanding of the relationship between the dynamic pressure function and the underlying fluid kinematics for rotational ocean waves has implications for both wave and tidal resource characterisation. This paper considers the pressure-streamfunction relationship for a train of regular water waves propagating on a steady current, which may possess an arbitrary distribution of vorticity, in two dimensions. Using a novel pressure-streamfunction reformulation of the governing equations, an explicit formula was recently derived by two of the authors in terms of series solutions detailing the relationship between the pressure, streamfunction and the vorticity distributions. In particular, for linear waves, a description is provided of the role which the pressure function on the sea-bed plays in determining the free- surface profile elevation. These are the first results in this direction for water waves with vorticity, and it is shown that this approach provides a good approximation for a range of current conditions.
Description
Keywords
Pressure recovery , Surface prediction , Wave-current interactions
Citation
Compelli, A., Henry, D. and Thomas, G. (2019) 'Surface profile prediction from bottom pressure measurements with application to marine current generators', 13th European Wave and Tidal Energy Conference, Naples, Italy, 01-06 September.