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Capturing the flow structure beneath water waves

Presented by: 
Andre Nachbin IMPA - Instituto Nacional de Matemática Pura e Aplicada, Rio de Janeiro
Date: 
Monday 7th August 2017 - 16:00 to 17:00
Venue: 
INI Seminar Room 1
Abstract: 
This talk addresses two problems, studied through numerical models, for capturing the flow structure beneath surface water waves. First we consider (nonlinear, traveling) periodic rotational waves, the appearance of stagnation points and the possibility of pressure anomalies. Secondly, we consider linear waves in the presence of quite general topographies and the numerical construction of a three-dimensional Dirichlet-to-Neumann operator. Simulations, restricted to a two-dimensional free surface, illustrate that the vertical structure of the 3D flow is captured accordingly even in the presence of large depth variations.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons