Reconstructing the water surface from pressure measurements

1 hour 2 mins,  224.14 MB,  iPod Video  480x270,  29.97 fps,  44100 Hz,  493.58 kbits/sec
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Description: Deconinck, B (University of Washington)
Wednesday 16 July 2014, 16:30-17:30
 
Created: 2014-07-21 12:35
Collection: Theory of Water Waves
Publisher: Isaac Newton Institute
Copyright: Deconinck, B
Language: eng (English)
 
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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