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Azaez, M. (1990) Computation of the Pressure in the Stokes Problem for Incompressible Viscous Fluids by a Spectral Method Collocation. Thesis of Doctorate, Paris-Sud University, Orsay.

has been cited by the following article:

• 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.