Numerical Modelling and Simulation of Sand Dune Formation in an Incompressible Out-Flow


In this paper, we are concerned with computation of a mathematical model of sand dune formation in a water of surface to incompressible out-flows in two space dimensions by using Chebyshev projection scheme. The mathematical model is formulate by coupling Navier-Stokes equations for the incompressible out-flows in 2D fluid domain and Prigozhin’s equation which describes the dynamic of sand dune in strong parameterized domain in such a way which is a subset of the fluid domain. In order to verify consistency of our approach, a relevant test problem is considered which will be compared with the numerical results given by our method.

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Nouri, Y. and Bisso, S. (2015) Numerical Modelling and Simulation of Sand Dune Formation in an Incompressible Out-Flow. Applied Mathematics, 6, 864-876. doi: 10.4236/am.2015.65080.

Conflicts of Interest

The authors declare no conflicts of interest.


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