%0 Journal Article
%T The Coupling Navier-Stokes/Darcy Systems by Vorticity-Velocity-Pressure Formulation
%A Anis Younes
%A Yousra Ouali
%J -
%D 2014
%R 10.14419/gjma.v2i3.2850
%X 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.
%U https://www.sciencepubco.com/index.php/GJMA/article/view/2850