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A note on waveless subcritical flow past symmetric bottom topography
Journal article   Peer reviewed

A note on waveless subcritical flow past symmetric bottom topography

R.J. Holmes and G.C. Hocking
European Journal of Applied Mathematics, Vol.28(4), pp.562-575
2016

Abstract

This paper re-examines the problem of the flow of a fluid of finite depth over two Gaussian-shaped obstructions on the stream bed. A weakly nonlinear analysis in the form of the Korteweg–de Vries equation is used to compare with the results of the fully nonlinear problem. The main focus is to find waveless subcritical solutions, and contours showing the obstruction height and separation values that result in waveless solutions are found for different Froude numbers and different obstruction widths.

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Citation topics
5 Physics
5.230 Solitons
5.230.124 Soliton Dynamics
Web Of Science research areas
Mathematics, Applied
ESI research areas
Mathematics
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