Further perspectives on the evolution of bed material waves in alluvial channels

Cao, Z. and Carling, P.A. (2005) Further perspectives on the evolution of bed material waves in alluvial channels Earth Surface Processes and Landforms, 30, (1), pp. 115-120. (doi:10.1002/esp.1157).


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In one-dimensional mathematical models of fluvial flow, sediment transport and morphological evolution, the governing equations based on mass and momentum conservation laws constitute a hyperbolic system. Succinctly, the hyperbolic nature excludes dispersion or diffusion operators, which is well known in the context of differential equations. There is no doubt that the so-called ‘dispersion’ argument for bed material wave evolution is questionable, as we have explicitly asserted. Surprisingly, in a recent communication, the authors of the ‘dispersion’ argument suggest that dispersion is not precluded in hyperbolic systems. We provide herein further perspectives to help explain that the dispersion argument is neither appropriate nor necessary for interpreting bed material wave evolution. Also the continuity equations involved are addressed to prompt wider understanding of their significance. In particular, the continuity equation of the water–sediment mixture proposed by the authors of the ‘dispersion’ argument is proved to be incorrect, and inevitably their reasoning based on it is problematic.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1002/esp.1157
ISSNs: 0197-9337 (print)
Keywords: sediment transport, alluvial rivers, bed material wave, hyperbolic equations dispersion, mass conservation law

ePrint ID: 58065
Date :
Date Event
Date Deposited: 11 Aug 2008
Last Modified: 16 Apr 2017 17:37
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/58065

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