Spectral discretization of Darcy equations coupled with Stokes equations by vorticity-velocity-pressure formulations

摘要

We propose to make the numerical analysis of a model coupling the Darcy equations in a porous medium with the Stokes equations in the cracks. The coupling is provided by a pressure continuity on the interface. We describe a discretization by spectral element methods. We derive a priori optimal error estimates and we present some numerical experiments which confirm the results of the analysis.(c) 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 1628-1651, 2017