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An analytical model for bore-driven run-up

Published online by Cambridge University Press:  08 August 2008

DAVID PRITCHARD ,
PAUL A. GUARD  and
TOM E. BALDOCK
DAVID PRITCHARD
Affiliation:
Department of Mathematics, University of Strathclyde, 26 Richmond St, Glasgow G1 1XH, UKdtp@maths.strath.ac.uk
PAUL A. GUARD
Affiliation:
Department of Civil Engineering, University of Queensland, St Lucia, Queensland 4072, Australia
TOM E. BALDOCK
Affiliation:
Department of Civil Engineering, University of Queensland, St Lucia, Queensland 4072, Australia
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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.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 610 , 10 September 2008 , pp. 183 - 193
Copyright
Copyright © Cambridge University Press 2008

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