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

Mohammed Louaked, Nour Seloula, Saber Trabelsi

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

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, 2017
Original languageEnglish (US)
Pages (from-to)1949-1965
Number of pages17
JournalNumerical Methods for Partial Differential Equations
Volume33
Issue number6
DOIs
StatePublished - Jul 20 2017

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