Stationary solitary waves above bumps or ramps in turbulent open channel flow

Abstract eng:
Steady two-dimensional turbulent free-surface flow in a channel is considered. The slope of the channel bottom is assumed to be small, and the bottom roughness is assumed to be constant. An unevenness of the bottom in the form of a bump or a ramp of large length, but very small height, is taken into account. Asymptotic expansions for large Reynolds numbers and Froude numbers close to the critical value 1, respectively, give a steady-state version of an extended Korteweg-deVries equation for the surface elevation. No turbulence modelling is required. In case of ramps, stationary solitary waves of the classical shape are obtained as particular solutions. For bumps, there are solutions that describe stationary solitary waves with a ‘tail’.

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket