Prediction of the free-surface elevation for rotational water waves using the recovery of pressure at the bed

Henry, David; Thomas, Gareth P.

Prediction of the free-surface elevation for rotational water waves using the recovery of pressure at the bed

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Files

2018-PhilTrans-Henry-Thomas.pdf(300 KB)

Accepted version

Date

2017-12-11

Authors

Henry, David

Thomas, Gareth P.

Publisher

The Royal Society

Published Version

10.1098/rsta.2017.0102

Abstract

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. The application of such work is to both near shore and offshore environments, and in particular, for linear waves we provide a description of the role which the pressure function on the seabed plays in determining the free-surface profile elevation. Our approach is shown to provide a good approximation for a range of current conditions.

Keywords

Water waves , Wave–current interactions , Pressure recovery

Citation

Henry, D. and Thomas, G. P. (2018) 'Prediction of the free-surface elevation for rotational water waves using the recovery of pressure at the bed', Philosophical Transactions of the Royal Society A: Mathematical Physical and Engineering Sciences, 376, 2111 (21 pp). doi: 10.1098/rsta.2017.0102