Comparison between different numerical discretizations for a Darcy-Forchheimer model

This paper is a numerical study of different discretizations for a mixed formulation of the Darcy-Forchheimer equation. Different finite elements are used: constant functions, conformal linear functions and Crouzeix-Raviart non-conformal finite elements. The behavior of the discretizations is analyz...

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Bibliographic Details
Published inElectronic transactions on numerical analysis Vol. 34; p. 187
Main Authors Lopez, Hilda, Molina, Brigida, Salas, Jose J
Format Journal Article
LanguageEnglish
Published Institute of Computational Mathematics 01.12.2008
Subjects
Numerical analysis
Venezuela
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ISSN1068-9613
1097-4067

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Summary:This paper is a numerical study of different discretizations for a mixed formulation of the Darcy-Forchheimer equation. Different finite elements are used: constant functions, conformal linear functions and Crouzeix-Raviart non-conformal finite elements. The behavior of the discretizations is analyzed through a comparative study of some test problems. The numerical results suggest that one of the proposed discretizations has better convergence properties for the velocity. Key words. Darcy-Forchheimer's model, mixed formulation, numerical discretizations, finite elements, algorithm of alternating directions. AMS subject classifications. 35Q35, 74S05, 58C15, 65F10
ISSN:1068-9613
1097-4067