Approximation of the unsteady Brinkman‐Forchheimer equations by the pressure stabilization method | Zendy

Louaked Mohammed | Zendy; Seloula Nour | Zendy; Trabelsi Saber | Zendy

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Approximation of the unsteady Brinkman‐Forchheimer equations by the pressure stabilization method

Author(s) -

Louaked Mohammed,

Seloula Nour,

Trabelsi Saber

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.22173

Subject(s) - discretization , mathematics , compressibility , partial differential equation , finite element method , work (physics) , partial derivative , space (punctuation) , approximation error , mathematical analysis , mechanics , computer science , physics , thermodynamics , operating system

In this work, we propose and analyze the pressure stabilization method for the unsteady incompressible Brinkman‐Forchheimer equations. We present a time discretization scheme which can be used with any consistent finite element space approximation. Second‐order error estimate is proven. Some numerical results are also given.© 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 1949–1965, 2017

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