University of Surrey

Test tubes in the lab Research in the ATI Dance Research

Emergence of dispersion in shallow water hydrodynamics via modulation of uniform flow

Bridges, TJ (2014) Emergence of dispersion in shallow water hydrodynamics via modulation of uniform flow JOURNAL OF FLUID MECHANICS, 761, ARTN R.

[img]
Preview
Text
JFM-14-RP-1009_Revised.pdf - ["content_typename_Accepted version (post-print)" not defined]
Available under License : See the attached licence file.

Download (144kB) | Preview
[img]
Preview
PDF (licence)
SRI_deposit_agreement.pdf
Available under License : See the attached licence file.

Download (33kB) | Preview

Abstract

A new theory for the emergence of dispersion in shallow water hydrodynamics in two horizontal space dimensions is presented. Starting with the key properties of uniform flow in open-channel hydraulics, it is shown that criticality is the key mechanism for generating dispersion. Modulation of the uniform flow then leads to model equations. The coefficients in the model equations are related precisely to the derivatives of the mass flux, momentum flux and mass density. The theory gives a new perspective - from the viewpoint of hydraulics - on how and why key shallow water models like the Korteweg-de Vries equation and Kadomtsev-Petviashvili equations arise in the theory of water waves.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Bridges, TJUNSPECIFIEDUNSPECIFIED
Date : 1 December 2014
Identification Number : 10.1017/jfm.2014.653
Uncontrolled Keywords : Science & Technology, Technology, Physical Sciences, Mechanics, Physics, Fluids & Plasmas, Physics, geophysical and geological flows, shallow water flows, waves/free-surface flows, WAVES
Related URLs :
Additional Information : © 2014 Cambridge University Press
Depositing User : Symplectic Elements
Date Deposited : 18 Aug 2015 15:59
Last Modified : 18 Aug 2015 15:59
URI: http://epubs.surrey.ac.uk/id/eprint/808292

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year


Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800