Journal article
Ideal planar fluid flow over a submerged obstacle: Review and extension
The ANZIAM Journal, Vol.63(4), pp.377-419
2021
Abstract
A classical problem in free-surface hydrodynamics concerns flow in a channel, when an obstacle is placed on the bottom. Steady-state flows exist and may adopt one of three possible configurations, depending on the fluid speed and the obstacle height; perhaps the best known has an apparently uniform flow upstream of the obstacle, followed by a semiinfinite train of downstream gravity waves. When time-dependent behaviour is taken into account, it is found that conditions upstream of the obstacle are more complicated, however, and can include a train of upstream-advancing solitons. This paper gives a critical overview of these concepts, and also presents a new semianalytical spectral method for the numerical description of unsteady behaviour.
Details
- Title
- Ideal planar fluid flow over a submerged obstacle: Review and extension
- Authors/Creators
- L.K. Forbes (Author/Creator)S.J. Walters (Author/Creator)G.C. Hocking (Author/Creator)
- Publication Details
- The ANZIAM Journal, Vol.63(4), pp.377-419
- Publisher
- Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
- Identifiers
- 991005545043407891
- Copyright
- © The Author(s), 2021
- Murdoch Affiliation
- School of Mathematics, Statistics, Chemistry and Physics
- Language
- English
- Resource Type
- Journal article
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InCites Highlights
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- Collaboration types
- Domestic collaboration
- Citation topics
- 5 Physics
- 5.230 Solitons
- 5.230.124 Soliton Dynamics
- Web Of Science research areas
- Mathematics, Applied
- ESI research areas
- Mathematics