Tsunami surge in a river: a hydraulic jump in an inhomogeneous channel

Caputo, Jean-Guy and Stepanyants, Y. A. ORCID: https://orcid.org/0000-0003-4546-0310 (2007) Tsunami surge in a river: a hydraulic jump in an inhomogeneous channel. In: Tsunami and nonlinear waves. Springer-Verlag, Berlin, Germany, pp. 97-112. ISBN 978-3-540-71255-8

PDF (Documentation) document.pdf Download (333kB)

Abstract

A tsunami or storm surge propogating in a river is a very energetic phenomenon and not many human constructions can resist it. We will not consider here the case of the ocean where the bathymetry plays a crucial role in fixing the wave speed but a channel or river where the depth and width vary slowly compared with the wave length. We examined the propagation of a tsunami from the deep sea where non-linearity and dispersion are small to the coastline where those parameters become significant. In particular we showed on the inhomogeneous linear wave equation the importance of bathymetry in the wave amplification.

Statistics for this ePrint Item

Item Type:	Book Chapter (Commonwealth Reporting Category B)
Refereed:	Yes
Item Status:	Live Archive
Additional Information:	Author's version not held.
Faculty/School / Institute/Centre:	Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Faculty/School / Institute/Centre:	Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Date Deposited:	20 Mar 2010 02:43
Last Modified:	15 Feb 2021 23:33
Uncontrolled Keywords:	tsunami; wave amplification; mathematical models; nonlinear waves
Fields of Research (2008):	01 Mathematical Sciences > 0104 Statistics > 010406 Stochastic Analysis and Modelling 04 Earth Sciences > 0406 Physical Geography and Environmental Geoscience > 040604 Natural Hazards 04 Earth Sciences > 0405 Oceanography > 040503 Physical Oceanography
Fields of Research (2020):	49 MATHEMATICAL SCIENCES > 4905 Statistics > 490510 Stochastic analysis and modelling 37 EARTH SCIENCES > 3709 Physical geography and environmental geoscience > 370903 Natural hazards 37 EARTH SCIENCES > 3708 Oceanography > 370803 Physical oceanography
Socio-Economic Objectives (2008):	D Environment > 96 Environment > 9610 Natural Hazards > 961002 Natural Hazards in Coastal and Estuarine Environments
URI:	http://eprints.usq.edu.au/id/eprint/5731

Actions (login required)

Archive Repository Staff Only