TITLE:
Numerical Modelling and Simulation of Sand Dune Formation in an Incompressible Out-Flow
AUTHORS:
Yahaya Mahamane Nouri, Saley Bisso
KEYWORDS:
Sand Dune Formation, Navier-Stokes Equations, Incompressible Out-Flows, Chebyshev Projection Scheme
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.5,
May
29,
2015
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.