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An analytical model for bore-driven run-up

  • DAVID PRITCHARD (a1), PAUL A. GUARD (a2) and TOM E. BALDOCK (a2)
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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P. A. Luccio , S. I. Voropayev , H. J. S. Fernando , D. L. Boyer & W. N. Houston 1998 The motion of cobbles in the swash zone on an impermeable slope. Coastal Engng 33, 4160.

D. Pritchard & A. J. Hogg 2005 On the transport of suspended sediment by a swash event on a plane beach. Coastal Engng 52, 123.

M. C. Shen & R. E. Meyer 1963 Climb of a bore on a beach. Part 3. Run-up. J. Fluid Mech. 16, 113125.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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