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An analytical model for bore-driven run-up

Pritchard, D. and Guard, Paul A. and Baldock, Tom E. (2008) An analytical model for bore-driven run-up. Journal of Fluid Mechanics, 610. pp. 183-193. ISSN 0022-1120

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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.