The Coupling Navier-Stokes/Darcy Systems by Vorticity-Velocity-Pressure Formulation

  • Authors

    • Anis Younes Faculty of sciences of Tunisia
    • Yousra Ouali
    2014-06-21
    https://doi.org/10.14419/gjma.v2i3.2850

  • In this paper We consider the Coupling Navier-Stokes/Darcy equations  in a two or three dimensional domain provided with non standard boundary conditions which involve the normal component of the velocity and the tangential components of the vorticity.  We establish a coupled variational formulation of this problem with three independent unknowns: the vorticity, the velocity and the pressure. We discuss coupling conditions and we analyze the global coupled model in order to prove its well-posedness and to characterize effective algorithms to compute the solution of its numerical approximation.

    Keywords: coupled problem, Darcy's equation, Navier-Stokes equation, Finite element.

  • References

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  • How to Cite

    Younes, A., & Ouali, Y. (2014). The Coupling Navier-Stokes/Darcy Systems by Vorticity-Velocity-Pressure Formulation. Global Journal of Mathematical Analysis, 2(3), 80-90. https://doi.org/10.14419/gjma.v2i3.2850