Abstract
We use a hodograph transformation and a boundary integral method to derive a new analytical solution to the shallow-water equations describing bore-generated run-up on a plane beach. This analytical solution differs from the classical Shen-Meyer runup solution in giving significantly deeper and less asymmetric swash flows, and also by predicting the inception of a secondary bore in both the backwash and the uprush in long surf. We suggest that this solution provides a significantly improved model for flows including swash events and the run-up following breaking tsunamis.
Original language | English |
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Pages (from-to) | 183-193 |
Number of pages | 11 |
Journal | Journal of Fluid Mechanics |
Volume | 610 |
Early online date | 8 Aug 2008 |
DOIs | |
Publication status | Published - Sept 2008 |
Keywords
- analytical solution
- shallow water equations