An analytical model for bore-driven run-up

D. Pritchard; Paul A. Guard; Tom E. Baldock

doi:10.1017/S0022112008002644

An analytical model for bore-driven run-up

D. Pritchard, Paul A. Guard, Tom E. Baldock

Mathematics And Statistics

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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.

Original language	English
Pages (from-to)	183-193
Number of pages	11
Journal	Journal of Fluid Mechanics
Volume	610
Early online date	8 Aug 2008
DOIs	https://doi.org/10.1017/S0022112008002644
Publication status	Published - Sep 2008

Keywords

analytical solution
shallow water equations

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10.1017/S0022112008002644

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title = "An analytical model for bore-driven run-up",

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.",

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AU - Guard, Paul A.

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AB - 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.

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JF - Journal of Fluid Mechanics

SN - 0022-1120

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An analytical model for bore-driven run-up

Abstract

Keywords

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