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Numerical Modelling and Simulation of Sand Dune Formation in an Incompressible Out-Flow
Department of Mathematics and Informatic, Abdou Moumouni Unversity, Niamey, Niger
Department of Mathematics and Informatic, Abdou Moumouni Unversity, Niamey, Niger
- 1 Department of Mathematics and Informatic, Abdou Moumouni Unversity, Niamey, Niger
- 2 Department of Mathematics and Informatic, Abdou Moumouni Unversity, Niamey, Niger
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Abstract
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.
KeywordsSand Dune FormationNavier-Stokes EquationsIncompressible Out-FlowsChebyshev Projection Scheme
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