Spectral discretization of Darcy equations coupled with Stokes equations by vorticity–velocity–pressure formulations | Zendy

Mabrouki Yassine | Zendy; Mani Aouadi Saloua | Zendy; Satouri Jamil | Zendy

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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

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