On the Stream Function-Vorticity Finite Element Formulation for Incompressible Flow in Porous Media | Zendy

Abdellatif Agouzal | Zendy; Karam Allali | Zendy; Siham Binna | Zendy

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On the Stream Function-Vorticity Finite Element Formulation for Incompressible Flow in Porous Media

Author(s) -

Abdellatif Agouzal,

Karam Allali,

Siham Binna

Publication year - 2014

Publication title -

advances in numerical analysis

Language(s) - English

Resource type - Journals

eISSN - 1687-9570

pISSN - 1687-9562

DOI - 10.1155/2014/459761

Subject(s) - stream function , porous medium , vorticity , vorticity equation , finite element method , mathematics , compressibility , function (biology) , mathematical analysis , flow (mathematics) , darcy's law , a priori and a posteriori , a priori estimate , incompressible flow , mechanics , physics , vortex , geometry , porosity , thermodynamics , geology , geotechnical engineering , philosophy , epistemology , evolutionary biology , biology

Stream function-vorticity finite element formulation for incompressible flow in porous media is presented. The model consists of the heat equation, the equation for the concentration, and the equations of motion under the Darcy law. The existence of solution for the discrete problem is established. Optimal a priori error estimates are given

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