Climb of a bore on a beach Part 3. Run-up
- 1 May 1963
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 16 (01) , 113-125
- https://doi.org/10.1017/s0022112063000628
Abstract
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.Keywords
This publication has 4 references indexed in Scilit:
- Climb of a bore on a beach Part 2. Non-uniform beach slopeJournal of Fluid Mechanics, 1963
- Climb of a bore on a beach. Part 1. Uniform beach slopeJournal of Fluid Mechanics, 1962
- Water waves of finite amplitude on a sloping beachJournal of Fluid Mechanics, 1958
- Focusing effects in two-dimensional, supersonic flowPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1949