Ellis, A. S. and Fowler, A. C. (2010) On an evolution equation for sand dunes. SIAM Journal of Applied Mathematics . (Submitted)
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.
|Subjects:||D - G > General|
|Research Groups:||Oxford Centre for Collaborative Applied Mathematics|
|Deposited By:||Peter Hudston|
|Deposited On:||26 Oct 2010 10:22|
|Last Modified:||09 Feb 2012 15:58|
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