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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