Journal of Fluid Mechanics

Climb of a bore on a beach Part 3. Run-up

M. C.  Shen a1 and R. E.  Meyer a1
a1 Brown University, Providence, Rhode Island

Article author query
shen mc   [Google Scholar] 
meyer re   [Google Scholar] 


When a bore travels shoreward into water at rest on a beach, then according to the first-order non-linear long-wave theory, the bore accelerates and decreases in height, until it collapses at the shore. The investigation here reported concerns the question, what happens next? It is formulated as a singular characteristic boundary-value problem with somewhat unusual mathematical properties. Its asymptotic solution predicts a rather thin sheet of run-up and back-wash with some unexpected features.

(Published Online March 28 2006)
(Received November 30 1962)