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First Analytical Chapter: Long Wave Set-Up

  • Elena Tolkova
Chapter
Part of the SpringerBriefs in Earth Sciences book series (BRIEFSEARTH)

Highlights

Cross-river integrated Shallow-Water Equations (SWE). Problem formulation describing a wave ascending a river. One difference between tide and tsunami propagating into a river. Dimensionless form of the SWE, and implications for waves in different rivers. Backwater curve of a steady flow entering a reservoir. Backwater set by an intruding wave. Analytical treatment of the problem: backwater profile set by a small wave ascending a stream.

References

  1. Barré de Saint-Venant, A. J. C. (1871). Théorie du mouvement non permanent des eaux, avec application aux crues des riviéres et a l’introduction de marées dans leurs lits. Comptes Rendus des Séances de l’Académie des Sciences, 73(4), 147–154, 237–240.Google Scholar
  2. Henderson, F. M. (1966). Open channel flow. MacMillan Series in Civil Engineering (522 pp.). London: Pearson.Google Scholar
  3. Lynett, P., Gately K., Wilson R., Montoya L., Arcas D., Aytore B., et al. (2017). Inter-model analysis of tsunami-induced coastal currents. Ocean Modelling, 114, 14–32. ISSN1463-5003. http://dx.doi.org/10.1016/j.ocemod.2017.04.003 CrossRefGoogle Scholar
  4. Southard, J. (Fall 2006). 12.090 Special Topics: An Introduction to Fluid Motions, Sediment Transport, and Current-Generated Sedimentary Structures. MIT OpenCourseWare: Massachusetts Institute of Technology.Google Scholar
  5. Stoker, J. J. (1957). Water waves. New York, NY: Interscience Publishers Inc.Google Scholar
  6. Tolkova, E. (2014). Land-water boundary treatment for a tsunami model with dimensional splitting. Pure and Applied Geophysics, 171(9), 2289–2314. https://doi.org/10.1007/s00024-014-0825-8.CrossRefGoogle Scholar
  7. Tolkova, E., & Tanaka, H. (2016). Tsunami bores in Kitakami river. Pure and Applied Geophysics, 173(12), 4039–4054. https://doi.org/10.1007/s00024-016-1351-7.CrossRefGoogle Scholar

Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Elena Tolkova
    • 1
  1. 1.NorthWest Research Associates, IncKirklandUSA

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