An analytical model for bore-driven run-up

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

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)
89 Downloads (Pure)


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 languageEnglish
Pages (from-to)183-193
Number of pages11
JournalJournal of Fluid Mechanics
Early online date8 Aug 2008
Publication statusPublished - Sept 2008


  • analytical solution
  • shallow water equations


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