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On evolution of bed material waves in alluvial rivers
Author(s) -
Cao Zhixian,
Carling Paul A.
Publication year - 2003
Publication title -
earth surface processes and landforms
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.294
H-Index - 127
eISSN - 1096-9837
pISSN - 0197-9337
DOI - 10.1002/esp.493
Subject(s) - alluvium , interpretation (philosophy) , sediment transport , sediment , geology , dispersion (optics) , bedform , shock wave , flow (mathematics) , diffusion , field (mathematics) , geophysics , mechanics , geotechnical engineering , geomorphology , physics , mathematics , philosophy , optics , thermodynamics , linguistics , pure mathematics
Field and laboratory measurements have shown distinct characteristics of bed sediment waves under differing conditions, whilst their theoretical interpretation has emerged to be equivocal. This note aims to clarify the interpretation of evolution of bed material waves. The complete set of governing equations for the flow–sediment–morphology system is deduced to demonstrate its universally hyperbolic nature, irrespective of the sediment transport functions implemented to close the equations. The hyperbolic nature can admit not only attenuating bed material waves, but also shock‐like waves that are not unusual in the real world. It is suggested that the theory of dispersion/diffusion is not universally appropriate for evolution of bed material waves. Copyright © 2003 John Wiley & Sons, Ltd.