Abstract
It is important to understand how water waves propagate through water channels in order to reduce inundation damages induced by surges and/or tsunami run-up. For this purpose, a two-dimensional numerical model is developed based on Nonlinear Shallow Water Equations. In order to appropriately describe the strongly nonlinear hydrodynamics, a high-order TVD scheme is implemented. Model capabilities are confirmed through comparison with existing analytical studies including the dam-break problems, run-up and back-wash on a sloping bathymetry. The model is then applied to the study on the inundation of bore propagating in a channel of parabolic cross-section from a side breach.
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Amakata, M., Yuhi, M. & Ishida, H. A numerical study of wave propagation and run-up in water channels. J Hydrodyn 22 (Suppl 1), 197–202 (2010). https://doi.org/10.1016/S1001-6058(09)60193-1
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DOI: https://doi.org/10.1016/S1001-6058(09)60193-1