Premium
Spectral discretization of Darcy equations coupled with Stokes equations by vorticity–velocity–pressure formulations
Author(s) -
Mabrouki Yassine,
Mani Aouadi Saloua,
Satouri Jamil
Publication year - 2017
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22157
Subject(s) - discretization , mathematics , mathematical analysis , partial differential equation , coupling (piping) , finite element method , spectral element method , porous medium , numerical analysis , vorticity , spectral method , mechanics , mixed finite element method , porosity , physics , vortex , geology , materials science , thermodynamics , geotechnical engineering , metallurgy
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.© 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 1628–1651, 2017