Open Access Repository
An intrusion layer in stationary incompressible fluids Part 2: A solitary wave
Downloads
Downloads per month over past year
|
PDF
3722.pdf | Download (208kB) Available under University of Tasmania Standard License. | Preview |
Abstract
The propagation of a solitary wave in a horizontal fluid layer is studied. There is an interfacial
free surface above and below this intrusion layer, which is moving at constant speed through
a stationary density-stratified fluid system. A weakly nonlinear asymptotic theory is presented,
leading to a Korteweg–de Vries equation in which the two fluid interfaces move oppositely.
The intrusion layer solitary wave system thus forms a widening bulge that propagates without
change of form. These results are confirmed and extended by a fully nonlinear solution, in
which a boundary-integral formulation is used to solve the problem numerically. Limiting
profiles are approached, for which a corner forms at the crest of the solitary wave, on one or
both of the interfaces.
Item Type: | Article |
---|---|
Authors/Creators: | Forbes, LK and Hocking, GC |
Journal or Publication Title: | European Journal of Applied Mathematics |
Publisher: | Cambridge University Press |
ISSN: | 0956-7925 |
DOI / ID Number: | 10.1017/S0956792506006711 |
Item Statistics: | View statistics for this item |
Actions (login required)
![]() |
Item Control Page |