An amplitude equation for the non-linear analysis of river beds


R.M.J. Schielen
Delft Hydraulics
P.O. box 152
8300 AD Emmeloord
The Netherlands

Keywords: river bed

Abstract

An amplitude equation for weak non-linear interactions of waves is derived in order to describe the time and spatial evolution of a so-called alternate bar pattern that arises, in auspicious conditions, on a river bed. The coefficients of the equation are determined in an asymptotic expansion of the drag coefficient, which is small in natural circumstances. This expansion has the advantage that the influence of the model parameters on the amplitude equation can be seen immediately.

Computer Algebra in Industry Edited by A.M. Cohen © 1993 John Wiley & Sons Ltd


Reproduced by permission of John Wiley & Sons Ltd, 1995

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