An analytical model for bore-driven run-up

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

Research output: Contribution to journalArticle

18 Citations (Scopus)

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.
LanguageEnglish
Pages183-193
Number of pages11
JournalJournal of Fluid Mechanics
Volume610
Early online date8 Aug 2008
DOIs
Publication statusPublished - Sep 2008

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splashing
Analytical models
backwash
hodographs
boundary integral method
cavities
Tsunamis
beaches
shallow water
Beaches
Water

Keywords

  • analytical solution
  • shallow water equations

Cite this

Pritchard, D. ; Guard, Paul A. ; Baldock, Tom E. / An analytical model for bore-driven run-up. In: Journal of Fluid Mechanics. 2008 ; Vol. 610. pp. 183-193.
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An analytical model for bore-driven run-up. / Pritchard, D.; Guard, Paul A.; Baldock, Tom E.

In: Journal of Fluid Mechanics, Vol. 610, 09.2008, p. 183-193.

Research output: Contribution to journalArticle

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