Asymptotic modeling and numerical simulation of solitary waves in a floating ice sheet
Nonlinear flexural-gravity waves beneath a continuous ice sheet are considered. A Hamiltonian formulation of the governing equations is presented in the general three-dimensional setting. It is used to investigate the long-wave regime and derive an asymptotic model for weakly nonlinear dispersive wa...
| Main Authors: | , |
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| Format: | Conference Object |
| Language: | unknown |
| Published: |
2015
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| Subjects: | |
| Online Access: | https://ueaeprints.uea.ac.uk/id/eprint/55584/ |
| Summary: | Nonlinear flexural-gravity waves beneath a continuous ice sheet are considered. A Hamiltonian formulation of the governing equations is presented in the general three-dimensional setting. It is used to investigate the long-wave regime and derive an asymptotic model for weakly nonlinear dispersive waves with slower variation in the transverse direction. In the two-dimensional case, the model predictions are compared with direct numerical simulations of the full equations and a good agreement is found. |
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