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Reconstructing the water surface from pressure measurements

Presented by: 
B Deconinck University of Washington
Date: 
Wednesday 16th July 2014 - 16:30 to 17:30
Venue: 
INI Seminar Room 2
Session Title: 
Numerical Day 2
Abstract: 
A method is proposed to recover the water-wave surface elevation from pressure data obtained at the bottom of the fluid. The new method requires the numerical solution of a nonlocal nonlinear equation relating the pressure and the surface elevation which is obtained from the Euler formulation of the water-wave problem without approximation. From this new equation, a variety of diff erent asymptotic formulas are derived. The nonlocal equation and the asymptotic formulas are compared with both numerical data and physical experiments.
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