Skip to main content
×
Home
    • Aa
    • Aa

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

  • M. C. Shen (a1) and R. E. Meyer (a1)
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.

Copyright
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

Carrier, G. F. & Greenspan, H. P.1958J. Fluid Mech.4, 97.

Courant, R. & Hilbert, D.1962Methods of Mathematical Physics, Vol. 2. New York: Interscience.

Ho, D. V. & Meyer, R. E.1962J. Fluid Mech.14, 305.

Meyer, R. E.1949Phil. Trans. A, 242, 153.

Shen, M. C. & Meyer, R. E.1963J. Fluid Mech.16, 108.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

Metrics

Altmetric attention score