The Mathematical Institute, University of Oxford, Eprints Archive

On an evolution equation for sand dunes

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 self-consistent 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 10:22
Last Modified:09 Feb 2012 15:58

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