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    Barnes, M.P. O'Donoghue, T. Alsina, J.M. and Baldock, T.E. 2009. Direct bed shear stress measurements in bore-driven swash. Coastal Engineering, Vol. 56, Issue. 8, p. 853.

    Baldock, T.E. Cox, D. Maddux, T. Killian, J. and Fayler, L. 2009. Kinematics of breaking tsunami wavefronts: A data set from large scale laboratory experiments. Coastal Engineering, Vol. 56, Issue. 5-6, p. 506.

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    Power, H. E. Holman, R. A. and Baldock, T. E. 2011. Swash zone boundary conditions derived from optical remote sensing of swash zone flow patterns. Journal of Geophysical Research, Vol. 116, Issue. C6,

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    HOGG, ANDREW J. BALDOCK, TOM E. and PRITCHARD, DAVID 2011. Overtopping a truncated planar beach. Journal of Fluid Mechanics, Vol. 666, p. 521.

    Zhu, Fangfang Dodd, Nicholas and Briganti, Riccardo 2012. Impact of a uniform bore on an erodible beach. Coastal Engineering, Vol. 60, p. 326.

  • Journal of Fluid Mechanics, Volume 610
  • September 2008, pp. 183-193

An analytical model for bore-driven run-up

  • DOI:
  • Published online: 10 September 2008

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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T. E. Baldock , M. G. Hughes , K. Day & J. Louys 2005 Swash overtopping and sediment overwash on a truncated beach. Coastal Engng 52, 633645.

P. A. Guard & T. E. Baldock 2007 The influence of seaward boundary conditions on swash zone hydrodynamics. Coastal Engng 54, 321331.

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 & L. Dickinson 2008 Modelling the sedimentary signature of long waves on coasts: implications for tsunami reconstruction. Sed. Geol. 206, 4257.

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.

H. Yeh 2006 Maximum fluid forces in the tsunami runup zone. J. Waterway Port Coastal Ocean Engng 132 (6), 496500.

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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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