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Waveless subcritical flow past symmetric bottom topography
journal contribution
posted on 2023-05-17, 17:12 authored by Holmes, RJ, Hocking, GC, Lawrence ForbesLawrence Forbes, Baillard, NYThe subcritical flow of a stream over a bottom obstruction or depression is considered with particular interest in obtaining solutions with no downstream waves. In the linearised problem this can always be achieved by superposition of multiple obstructions, but it is not clear whether this is possible in a full nonlinear problem. Solutions computed here indicate that there is an effective nonlinear superposition principle at work as no special shape modifications were required to obtain wave-cancelling solutions. Waveless solutions corresponding to one or more trapped waves are computed at a range of different Froude numbers and are shown to provide a rather elaborate mosaic of solution curves in parameter space when both negative and positive obstruction heights are included. © 2012 Cambridge University Press.
History
Publication title
European Journal of Applied MathematicsVolume
24Pagination
213-230ISSN
0956-7925Department/School
School of Natural SciencesPublisher
Cambridge Univ PressPlace of publication
40 West 20Th St, New York, USA, Ny, 10011-4211Rights statement
Copyright 2012 Cambridge University PressRepository Status
- Restricted