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

Yahaya Mahamane Nourialassanenouri@yahoo.fr, Saley Bisso
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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

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