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

David Henry | Zendy; Gareth Thomas | Zendy

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

Author(s) -

David Henry,

Gareth Thomas

Publication year - 2017

Publication title -

philosophical transactions of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.074

H-Index - 169

eISSN - 1471-2962

pISSN - 1364-503X

DOI - 10.1098/rsta.2017.0102

Subject(s) - elevation (ballistics) , free surface , submarine pipeline , mechanics , rotational symmetry , current (fluid) , stream function , geology , seabed , work (physics) , wind wave , vorticity , range (aeronautics) , shore , nonlinear system , impact pressure , water level , surface wave , physics , mathematics , geometry , geotechnical engineering , optics , materials science , oceanography , vortex , thermodynamics , cartography , quantum mechanics , geography , composite material

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. This article is part of the theme issue ‘Nonlinear water waves’.

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