Analysis of Two Mathematical Models for the Coupled Navier-Stokes/Darcy Problem
Rivière, Béatrice M.
This paper introduces and analyzes two models coupling of incompressible Navier-Stokes equations with the porous media flow equations. A numerical method that uses continuous finite elements in the incompressible flow region and discontinuous finite elements in the porous medium, is proposed. Existence and uniqueness results under small data condition of the numerical solution are proved. Optimal a priori error estimates are derived. Numerical examples comparing the two models are provided.
Citable link to this pagehttps://hdl.handle.net/1911/102119
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