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

Mohammed Louaked; Nour Seloula; Saber Trabelsi

doi:10.1002/num.22173

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

Mohammed Louaked, Nour Seloula, Saber Trabelsi

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Contribution to journal › Article › peer-review

12 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 language	English (US)
Pages (from-to)	1949-1965
Number of pages	17
Journal	Numerical Methods for Partial Differential Equations
Volume	33
Issue number	6
DOIs	https://doi.org/10.1002/num.22173
State	Published - Jul 20 2017

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01

Access to Document

10.1002/num.22173

Cite this

@article{e1e3bdb09cc745ae94a69552174e86a6,

title = "Approximation of the unsteady Brinkman-Forchheimer equations by the pressure stabilization method",

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.{\textcopyright} 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2017",

author = "Mohammed Louaked and Nour Seloula and Saber Trabelsi",

note = "KAUST Repository Item: Exported on 2020-10-01",

year = "2017",

month = jul,

day = "20",

doi = "10.1002/num.22173",

language = "English (US)",

volume = "33",

pages = "1949--1965",

journal = "Numerical Methods for Partial Differential Equations",

issn = "0749-159X",

publisher = "John Wiley & Sons Inc.",

number = "6",

}

TY - JOUR

T1 - Approximation of the unsteady Brinkman-Forchheimer equations by the pressure stabilization method

AU - Louaked, Mohammed

AU - Seloula, Nour

AU - Trabelsi, Saber

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2017/7/20

Y1 - 2017/7/20

N2 - 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

AB - 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

UR - http://hdl.handle.net/10754/625691

UR - http://onlinelibrary.wiley.com/doi/10.1002/num.22173/full

UR - http://www.scopus.com/inward/record.url?scp=85029806436&partnerID=8YFLogxK

U2 - 10.1002/num.22173

DO - 10.1002/num.22173

M3 - Article

SN - 0749-159X

VL - 33

SP - 1949

EP - 1965

JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

IS - 6

ER -

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

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this