Premium
The formation of dunes, antidunes, and rapidly damping waves in alluvial channels
Author(s) -
Huang L.H.,
Chiang Y.L.
Publication year - 2001
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.147
Subject(s) - biot number , mechanics , geology , boundary value problem , instability , alluvium , channel (broadcasting) , geotechnical engineering , flow (mathematics) , constant (computer programming) , mathematics , physics , engineering , geomorphology , mathematical analysis , computer science , telecommunications , programming language
Under the effect of a constant current for a long time, a water channel of infinitely long and constant depth interacting with a uniform sandbed of infinite thickness is used to simulate the formation of dunes, antidunes and rapidly damping waves in alluvial channels. The theory of potential flow is applied to the channel flow, while Biot's theory of poroelasticity is adopted to deal with erodible bed material. The governing equations, together with free surface, bed surface, and far field boundary conditions, form a complete boundary‐value problem without applying empirical sediment discharge formulas as in conventional researches. The comparison of the present result with Kennedy's ( Journal of Fluid Mechanics , 1963; 16 : 521–544) instability analysis not only indicates the appropriateness of the present work, but also reveals the advantage of the present study due to its ability to find all kinds of bed forms (including the rapidly damping waves that Kennedy could not find) and of solving for the unclear lagged distance δ introduced in Kennedy's work. Copyright © 2001 John Wiley & Sons, Ltd.