Ellis, A. S. and Fowler, A. C. (2010) On an evolution equation for sand dunes. SIAM Journal of Applied Mathematics . (Submitted)

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Abstract
We propose a model for aeolian or fluvial dune formation in which the turbulent flow of air or water is described by a constant eddy viscosity model. Asymptotic methods are used to derive an expression for the basal shear stress and this is used in the Exner equation to describe a nonlinear model for the evolution of dunes. The model is then extended to allow for the existence of separation bubbles in a selfconsistent way, and computational results of the consequent model are presented.
Item Type:  Article 

Subjects:  D  G > General 
Research Groups:  Oxford Centre for Collaborative Applied Mathematics 
ID Code:  997 
Deposited By:  Peter Hudston 
Deposited On:  26 Oct 2010 09:22 
Last Modified:  29 May 2015 18:41 
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