Time-dependent water-wave scattering by arrays of cylinders and the approximation of near trapping

M. H. Meylan & R. Eatock Taylor.

Journal of Fluid Mechanics, vol. 000 (2008),   pp. 000-000

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Movie 1. The near trapped mode for four cylinders associated with the scattering frequency at 2.7641 - 0.0122i. Download movie.

Movie 2. The near trapped mode for nine cylinders associated with the scattering frequency at 2.7114 - 0.0041i Download movie.

Movie 3. One of the near trapped modes for nine cylinders associated with the scattering frequency at 2.7635 - 0.0086i Download movie.

Movie 4. One of the near trapped modes for nine cylinders associated with the scattering frequency at 2.7635 - 0.0086i Download movie.

Movie 5. The near trapped mode for nine cylinders associated with the scattering frequency at 2.8284 - 0.0102i Download movie.

Movie 6. The true (a) and approximate (b) solution for four cylinders for a plane incident wave given by equation (4.7). Download movie.

Movie 7. The true (a) and approximate (b) solution for nine cylinders for a plane incident wave given by equation (4.7). Download movie.

Movie 8. The true (a) and approximate (b) solution for four cylinders for a plane incident wave given by equation (4.8). We do not start the approximate solution until t=0. Download movie.

Movie 9. The true (a) and approximate solution (b) for an incident displacement given by equation (4.10) for four cylinders. Download movie.

Movie 10. The true (a) and approximate solution (b) for an incident displacement given by equation (4.10) for nine cylinders. Download movie.