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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Prediction of the free-surface elevation for rotat
ional water waves using the recovery of pressure a
t the bed - David Henry (University College Cork)
DTSTART;TZID=Europe/London:20170810T133000
DTEND;TZID=Europe/London:20170810T143000
UID:TALK75351AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/75351
DESCRIPTION:In this talk we consider the pressure-streamfuncti
on relationship for a train of regular water waves
propagating on a steady current\, which may posse
ss an arbitrary distribution of vorticity\, in two
dimensions. The application of such work is to bo
th nearshore and offshore environments\, and in pa
rticular for linear waves we provide a description
of the role which the pressure function on the se
a-bed plays in determining the free-surface profil
e elevation.

Our approach is shown to prov
ide a good approximation for a range of current co
nditions\, leading to the derivation of expression
s for the pressure transfer function\, and the rel
ated pressure amplification factor\, which general
ise the well-known formulae for irrotational waves
. An implementation of the moderate current approx
imation renders these expressions more tractable\,
leading to quite elegant and explicit formulae.

This is joint work with Gareth Thomas.

LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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