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SUMMARY:Prediction of the free-surface elevation for rotational water wave
 s using the recovery of pressure at the bed - David Henry (University Coll
 ege Cork)
DTSTART:20170810T123000Z
DTEND:20170810T133000Z
UID:TALK75351@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In this talk we consider the pressure-streamfunction relations
 hip for a train of regular water waves propagating on a steady current\, w
 hich may possess an arbitrary distribution of vorticity\, in two dimension
 s. The application of such work is to both nearshore and offshore environm
 ents\, and in particular for linear waves we provide a description of the 
 role which the pressure function on the sea-bed plays in determining the f
 ree-surface profile elevation. <br><br>Our approach is shown to provide a 
 good approximation for a range of current conditions\, leading to the deri
 vation of expressions for the pressure transfer function\, and the related
  pressure amplification factor\, which generalise the well-known formulae 
 for irrotational waves. An implementation of the moderate current approxim
 ation renders these expressions more tractable\, leading to quite elegant 
 and explicit formulae.<br><br>This is joint work with Gareth Thomas.<br>
LOCATION:Seminar Room 1\, Newton Institute
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